"""
Molecular integrals over Gaussian basis functions generated by sympleints.
See https://github.com/eljost/sympleints for more information.
sympleints version: 0.1.dev79+g63f1ef8.d20230515
symppy version: 1.10.1
sympleints was executed with the following arguments:
lmax = 4
lauxmax = 6
write = False
out_dir = devel_ints
keys = ['multi_sph']
sph = False
opt_basic = True
normalize = cgto
"""
import numpy
[docs]
def multipole3d_sph_00(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (ss) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 1, 1), dtype=float)
x0 = (ax + bx) ** (-1.0)
x1 = ax * bx * x0
# 9 item(s)
result[0, 0, 0] = (
5.568327996831708
* da
* db
* x0**1.5
* numpy.exp(-x1 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
result[1, 0, 0] = 0
result[2, 0, 0] = 0
result[3, 0, 0] = 0
result[4, 0, 0] = 0
result[5, 0, 0] = 0
result[6, 0, 0] = 0
result[7, 0, 0] = 0
result[8, 0, 0] = 0
return result
[docs]
def multipole3d_sph_01(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (sp) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 1, 3), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = ax * bx * x1
x3 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x2 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x4 = 1.0 * x1 * x3
x5 = 0.5 * x3 / x0**2
# 27 item(s)
result[0, 0, 0] = -x4 * (-x1 * (ax * A[0] + bx * B[0]) + B[0])
result[0, 0, 1] = -x4 * (-x1 * (ax * A[1] + bx * B[1]) + B[1])
result[0, 0, 2] = -x4 * (-x1 * (ax * A[2] + bx * B[2]) + B[2])
result[1, 0, 0] = 0
result[1, 0, 1] = x5
result[1, 0, 2] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x5
result[3, 0, 0] = x5
result[3, 0, 1] = 0
result[3, 0, 2] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = 0
result[4, 0, 2] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[6, 0, 0] = 0
result[6, 0, 1] = 0
result[6, 0, 2] = 0
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = 0
result[8, 0, 0] = 0
result[8, 0, 1] = 0
result[8, 0, 2] = 0
return result
[docs]
def multipole3d_sph_02(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (sd) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 1, 6), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = -x1 * (ax * A[0] + bx * B[0]) + B[0]
x3 = 0.5 * x1
x4 = ax * bx * x1
x5 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x4 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x6 = x1 * x5
x7 = 1.732050807568877
x8 = 0.3333333333333333 * x7
x9 = x6 * x8
x10 = -x1 * (ax * A[1] + bx * B[1]) + B[1]
x11 = 1.0 * x10
x12 = x2 * x5
x13 = x1 * x12
x14 = -x1 * (ax * A[2] + bx * B[2]) + B[2]
x15 = x0 ** (-2.0)
x16 = 0.5 * x15
x17 = -x12 * x16
x18 = x15 * x8
x19 = x18 * x5
x20 = x16 * x5
x21 = -x14 * x20
x22 = -x10 * x20
x23 = x5 / x0**3
x24 = 0.4330127018922193 * x23
x25 = x23 * x7
x26 = -0.08333333333333333 * x25
x27 = 0.1443375672974064 * x25
# 54 item(s)
result[0, 0, 0] = x9 * (x2**2 + x3)
result[0, 0, 1] = x11 * x13
result[0, 0, 2] = 1.0 * x13 * x14
result[0, 0, 3] = x9 * (x10**2 + x3)
result[0, 0, 4] = x11 * x14 * x6
result[0, 0, 5] = x9 * (x14**2 + x3)
result[1, 0, 0] = 0
result[1, 0, 1] = x17
result[1, 0, 2] = 0
result[1, 0, 3] = -x10 * x19
result[1, 0, 4] = x21
result[1, 0, 5] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x17
result[2, 0, 3] = 0
result[2, 0, 4] = x22
result[2, 0, 5] = -x14 * x19
result[3, 0, 0] = -x12 * x18
result[3, 0, 1] = x22
result[3, 0, 2] = x21
result[3, 0, 3] = 0
result[3, 0, 4] = 0
result[3, 0, 5] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x24
result[4, 0, 2] = 0
result[4, 0, 3] = 0
result[4, 0, 4] = 0
result[4, 0, 5] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x24
result[5, 0, 5] = 0
result[6, 0, 0] = x26
result[6, 0, 1] = 0
result[6, 0, 2] = 0
result[6, 0, 3] = x26
result[6, 0, 4] = 0
result[6, 0, 5] = 0.1666666666666667 * x25
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x24
result[7, 0, 3] = 0
result[7, 0, 4] = 0
result[7, 0, 5] = 0
result[8, 0, 0] = x27
result[8, 0, 1] = 0
result[8, 0, 2] = 0
result[8, 0, 3] = -x27
result[8, 0, 4] = 0
result[8, 0, 5] = 0
return result
[docs]
def multipole3d_sph_03(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (sf) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 1, 10), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = -x1 * (ax * A[0] + bx * B[0]) + B[0]
x3 = x2**2
x4 = 1.5 * x1
x5 = ax * bx * x1
x6 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x5 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x7 = x2 * x6
x8 = x1 * x7
x9 = 3.872983346207417
x10 = 0.06666666666666667 * x9
x11 = -x1 * (ax * A[1] + bx * B[1]) + B[1]
x12 = x11 * x6
x13 = x1 * x12
x14 = 1.732050807568877
x15 = 0.5 * x1
x16 = x14 * (x15 + x3)
x17 = 0.3333333333333333 * x16
x18 = -x1 * (ax * A[2] + bx * B[2]) + B[2]
x19 = x18 * x6
x20 = x1 * x19
x21 = x11**2
x22 = x15 + x21
x23 = 0.3333333333333333 * x14
x24 = x23 * x8
x25 = x18**2
x26 = x15 + x25
x27 = x0 ** (-2.0)
x28 = x27 * x6
x29 = 0.1666666666666667 * x28
x30 = x16 * x29
x31 = x11 * x28
x32 = x2 * x23
x33 = x31 * x32
x34 = 0.5 * x2
x35 = x19 * x27
x36 = 3.0 * x1
x37 = 0.01666666666666667 * x28 * x9
x38 = x11 * x35
x39 = x23 * x38
x40 = x14 * x29
x41 = x26 * x40
x42 = x32 * x35
x43 = x22 * x40
x44 = x0 ** (-3.0)
x45 = x14 * x44
x46 = 0.2886751345948129 * x45
x47 = -x46 * x7
x48 = -x12 * x46
x49 = 0.4330127018922193 * x44
x50 = x49 * x6
x51 = -x19 * x46
x52 = x44 * x9
x53 = 0.05 * x52
x54 = 0.08333333333333333 * x45
x55 = x19 * x54
x56 = 0.1666666666666667 * x45
x57 = 0.08660254037844385 * x52
x58 = 0.1443375672974064 * x45
x59 = x19 * x58
# 90 item(s)
result[0, 0, 0] = -x10 * x8 * (x3 + x4)
result[0, 0, 1] = -x13 * x17
result[0, 0, 2] = -x17 * x20
result[0, 0, 3] = -x22 * x24
result[0, 0, 4] = -1.0 * x11 * x2 * x20
result[0, 0, 5] = -x24 * x26
result[0, 0, 6] = -x10 * x13 * (x21 + x4)
result[0, 0, 7] = -x20 * x22 * x23
result[0, 0, 8] = -x13 * x23 * x26
result[0, 0, 9] = -x10 * x20 * (x25 + x4)
result[1, 0, 0] = 0
result[1, 0, 1] = x30
result[1, 0, 2] = 0
result[1, 0, 3] = x33
result[1, 0, 4] = x34 * x35
result[1, 0, 5] = 0
result[1, 0, 6] = x37 * (6.0 * x21 + x36)
result[1, 0, 7] = x39
result[1, 0, 8] = x41
result[1, 0, 9] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x30
result[2, 0, 3] = 0
result[2, 0, 4] = x31 * x34
result[2, 0, 5] = x42
result[2, 0, 6] = 0
result[2, 0, 7] = x43
result[2, 0, 8] = x39
result[2, 0, 9] = x37 * (6.0 * x25 + x36)
result[3, 0, 0] = x37 * (6.0 * x3 + x36)
result[3, 0, 1] = x33
result[3, 0, 2] = x42
result[3, 0, 3] = x43
result[3, 0, 4] = 0.5 * x38
result[3, 0, 5] = x41
result[3, 0, 6] = 0
result[3, 0, 7] = 0
result[3, 0, 8] = 0
result[3, 0, 9] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x47
result[4, 0, 2] = 0
result[4, 0, 3] = x48
result[4, 0, 4] = -x19 * x49
result[4, 0, 5] = 0
result[4, 0, 6] = 0
result[4, 0, 7] = 0
result[4, 0, 8] = 0
result[4, 0, 9] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = -x2 * x50
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x48
result[5, 0, 8] = x51
result[5, 0, 9] = 0
result[6, 0, 0] = x53 * x7
result[6, 0, 1] = x12 * x54
result[6, 0, 2] = x55
result[6, 0, 3] = x54 * x7
result[6, 0, 4] = 0
result[6, 0, 5] = -x56 * x7
result[6, 0, 6] = x12 * x53
result[6, 0, 7] = x55
result[6, 0, 8] = -x12 * x56
result[6, 0, 9] = -0.1 * x19 * x52
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x47
result[7, 0, 3] = 0
result[7, 0, 4] = -x11 * x50
result[7, 0, 5] = x51
result[7, 0, 6] = 0
result[7, 0, 7] = 0
result[7, 0, 8] = 0
result[7, 0, 9] = 0
result[8, 0, 0] = -x57 * x7
result[8, 0, 1] = -x12 * x58
result[8, 0, 2] = -x59
result[8, 0, 3] = x58 * x7
result[8, 0, 4] = 0
result[8, 0, 5] = 0
result[8, 0, 6] = x12 * x57
result[8, 0, 7] = x59
result[8, 0, 8] = 0
result[8, 0, 9] = 0
return result
[docs]
def multipole3d_sph_04(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (sg) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 1, 15), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = x2 * (ax * A[0] + bx * B[0]) - B[0]
x4 = ax * bx * x2
x5 = numpy.exp(-x4 * (A[0] - B[0]) ** 2)
x6 = 1.772453850905516
x7 = numpy.sqrt(x2)
x8 = x6 * x7
x9 = x5 * x8
x10 = x3**2 * x9
x11 = x1 * x9
x12 = 3.0 * x11
x13 = x10 + x11
x14 = x13 * x3
x15 = x11 * x3
x16 = x14 + 2.0 * x15
x17 = x1 * (3.0 * x10 + x12) + x16 * x3
x18 = da * db
x19 = 10.2469507659596 * x18
x20 = 0.009523809523809525 * x19
x21 = numpy.exp(-x4 * (A[2] - B[2]) ** 2)
x22 = numpy.exp(-x4 * (A[1] - B[1]) ** 2)
x23 = 3.141592653589793 * x2 * x22
x24 = x21 * x23
x25 = x20 * x24
x26 = x2 * (ax * A[1] + bx * B[1]) - B[1]
x27 = x24 * x26
x28 = 3.872983346207417 * x18
x29 = 0.06666666666666667 * x28
x30 = x16 * x29
x31 = x2 * (ax * A[2] + bx * B[2]) - B[2]
x32 = x24 * x31
x33 = x21 * x8
x34 = x22 * x8
x35 = x26**2 * x34
x36 = x1 * x34
x37 = x35 + x36
x38 = 0.3333333333333333 * x18
x39 = x13 * x27
x40 = 1.732050807568877
x41 = x38 * x40
x42 = x31 * x41
x43 = x31**2 * x33
x44 = x1 * x33
x45 = x43 + x44
x46 = x38 * x45
x47 = x29 * x3
x48 = x26 * x37
x49 = x26 * x36
x50 = x48 + 2.0 * x49
x51 = x2 * x5
x52 = 3.141592653589793 * x51
x53 = x21 * x52
x54 = x50 * x53
x55 = x37 * x53
x56 = x3 * x55
x57 = x23 * x5
x58 = x26 * x3
x59 = x57 * x58
x60 = x40 * x46
x61 = x31 * x45
x62 = x31 * x44
x63 = x61 + 2.0 * x62
x64 = x57 * x63
x65 = 3.0 * x36
x66 = x1 * (3.0 * x35 + x65) + x26 * x50
x67 = x20 * x53
x68 = x29 * x31
x69 = x29 * x64
x70 = 3.0 * x44
x71 = x1 * (3.0 * x43 + x70) + x31 * x63
x72 = x20 * x57
x73 = x1 * x16
x74 = x24 * x29 * x73
x75 = 0.6666666666666666 * x18
x76 = x1 * x75
x77 = x1 * x31
x78 = x13 * x77
x79 = x24 * x78
x80 = x1 * (x35 + x65)
x81 = x1 * x35
x82 = x80 + 2.0 * x81
x83 = x53 * x82
x84 = 5.568327996831708 * x21 * x22 * x51 * x7
x85 = x58 * x84
x86 = x40 * x75 * x77 * x85
x87 = x3 * x57
x88 = x1 * x60
x89 = x26 * x57
x90 = x45 * x76
x91 = x1 * x69
x92 = x1 * x41
x93 = x1 * (x43 + x70)
x94 = x1 * x43
x95 = x93 + 2.0 * x94
x96 = x57 * x95
x97 = x1 * x29 * x50 * x53
x98 = x37 * x53 * x77
x99 = x1 * (x10 + x12)
x100 = x1 * x10
x101 = 2.0 * x100 + x99
x102 = x101 * x29
x103 = 0.1154700538379251 * x1 * x28
x104 = x101 * x103 * x24
x105 = x0 ** (-2.0)
x106 = x105 * x18
x107 = 2.309401076758503 * x106
x108 = x31 * x84
x109 = x106 * x40
x110 = 1.154700538379251 * x109
x111 = x108 * x110
x112 = x111 * x3
x113 = x103 * x83
x114 = x111 * x26
x115 = 0.5773502691896257 * x109
x116 = x110 * x85
x117 = x107 * x108
x118 = x103 * x96
x119 = 0.5 * x21
x120 = x105 * x9
x121 = x100 + 3.0 * x120
x122 = x3 * (6.0 * x120 + x121)
x123 = x23 * (x1 * (7.0 * x100 + 9.0 * x120 + 2.0 * x99) + x122 * x3)
x124 = 0.009523809523809524 * x19
x125 = x119 * x23
x126 = x122 * x125
x127 = 0.06666666666666667 * x28
x128 = 0.5 * x33
x129 = 3.0 * x105
x130 = x129 * x34 + x81
x131 = x13 * x130
x132 = 0.3333333333333333 * x18
x133 = x121 * x31
x134 = x132 * x40
x135 = 0.5 * x45
x136 = x121 * x34
x137 = x129 * x33 + x94
x138 = x13 * x36
x139 = 6.0 * x105
x140 = x26 * (x130 + x139 * x34)
x141 = x119 * x52
x142 = x140 * x141
x143 = x130 * x31
x144 = 1.0 * x57
x145 = x1 * x144
x146 = x31 * (x137 + x139 * x33)
x147 = x144 * x146
x148 = x145 * x63
x149 = 9.0 * x105
x150 = x52 * (x1 * (x149 * x34 + 2.0 * x80 + 7.0 * x81) + x140 * x26)
x151 = x130 * x9
x152 = 0.8660254037844386 * x21
x153 = x152 * x23
x154 = x122 * x153
x155 = x153 * x26
x156 = 0.8660254037844386 * x45
x157 = x152 * x52
x158 = x140 * x157
# 135 item(s)
result[0, 0, 0] = x17 * x25
result[0, 0, 1] = x27 * x30
result[0, 0, 2] = x30 * x32
result[0, 0, 3] = x13 * x33 * x37 * x38
result[0, 0, 4] = x39 * x42
result[0, 0, 5] = x13 * x34 * x46
result[0, 0, 6] = x47 * x54
result[0, 0, 7] = x42 * x56
result[0, 0, 8] = x59 * x60
result[0, 0, 9] = x47 * x64
result[0, 0, 10] = x66 * x67
result[0, 0, 11] = x54 * x68
result[0, 0, 12] = x37 * x46 * x9
result[0, 0, 13] = x26 * x69
result[0, 0, 14] = x71 * x72
result[1, 0, 0] = 0
result[1, 0, 1] = x74
result[1, 0, 2] = 0
result[1, 0, 3] = x39 * x76
result[1, 0, 4] = x41 * x79
result[1, 0, 5] = 0
result[1, 0, 6] = x47 * x83
result[1, 0, 7] = x86
result[1, 0, 8] = x87 * x88
result[1, 0, 9] = 0
result[1, 0, 10] = x67 * (x1 * (x48 + 8.0 * x49) + x26 * x82)
result[1, 0, 11] = x68 * x83
result[1, 0, 12] = x89 * x90
result[1, 0, 13] = x91
result[1, 0, 14] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x74
result[2, 0, 3] = 0
result[2, 0, 4] = x39 * x92
result[2, 0, 5] = x75 * x79
result[2, 0, 6] = 0
result[2, 0, 7] = x56 * x92
result[2, 0, 8] = x86
result[2, 0, 9] = x47 * x96
result[2, 0, 10] = 0
result[2, 0, 11] = x97
result[2, 0, 12] = x75 * x98
result[2, 0, 13] = x29 * x89 * x95
result[2, 0, 14] = x72 * (x1 * (x61 + 8.0 * x62) + x31 * x95)
result[3, 0, 0] = x25 * (x1 * (x14 + 8.0 * x15) + x101 * x3)
result[3, 0, 1] = x102 * x27
result[3, 0, 2] = x102 * x32
result[3, 0, 3] = x56 * x76
result[3, 0, 4] = x86
result[3, 0, 5] = x87 * x90
result[3, 0, 6] = x97
result[3, 0, 7] = x41 * x98
result[3, 0, 8] = x88 * x89
result[3, 0, 9] = x91
result[3, 0, 10] = 0
result[3, 0, 11] = 0
result[3, 0, 12] = 0
result[3, 0, 13] = 0
result[3, 0, 14] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x104
result[4, 0, 2] = 0
result[4, 0, 3] = x107 * x85
result[4, 0, 4] = x112
result[4, 0, 5] = 0
result[4, 0, 6] = x113
result[4, 0, 7] = x114
result[4, 0, 8] = x115 * x45 * x57
result[4, 0, 9] = 0
result[4, 0, 10] = 0
result[4, 0, 11] = 0
result[4, 0, 12] = 0
result[4, 0, 13] = 0
result[4, 0, 14] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x115 * x13 * x24
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x116
result[5, 0, 8] = x112
result[5, 0, 9] = 0
result[5, 0, 10] = 0
result[5, 0, 11] = x113
result[5, 0, 12] = x117 * x26
result[5, 0, 13] = x118
result[5, 0, 14] = 0
result[6, 0, 0] = x124 * (1.570796326794897 * x1 * x17 * x2 * x21 * x22 - x119 * x123)
result[6, 0, 1] = x127 * x26 * (1.570796326794897 * x1 * x16 * x2 * x21 * x22 - x126)
result[6, 0, 2] = x127 * x31 * (1.570796326794897 * x1 * x16 * x2 * x21 * x22 - x126)
result[6, 0, 3] = (
1.0 * x132 * (x1 * x13 * x21 * x37 * x6 * x7 - x121 * x128 * x37 - x128 * x131)
)
result[6, 0, 4] = (
x134 * x26 * (1.570796326794897 * x1 * x13 * x2 * x21 * x22 * x31 - x125 * x133)
)
result[6, 0, 5] = (
1.0 * x132 * (x13 * x137 * x22 * x6 * x7 - x135 * x136 - x135 * x138)
)
result[6, 0, 6] = x127 * x3 * (1.570796326794897 * x1 * x2 * x21 * x5 * x50 - x142)
result[6, 0, 7] = (
x134 * x3 * (1.570796326794897 * x1 * x2 * x21 * x31 * x37 * x5 - x141 * x143)
)
result[6, 0, 8] = x134 * (1.0 * x137 * x59 - x145 * x45 * x58)
result[6, 0, 9] = x127 * x3 * (x147 - x148)
result[6, 0, 10] = x124 * (1.570796326794897 * x1 * x2 * x21 * x5 * x66 - x119 * x150)
result[6, 0, 11] = x127 * x31 * (1.570796326794897 * x1 * x2 * x21 * x5 * x50 - x142)
result[6, 0, 12] = (
1.0 * x132 * (-x11 * x135 * x37 - x135 * x151 + x137 * x37 * x5 * x6 * x7)
)
result[6, 0, 13] = x127 * x26 * (x147 - x148)
result[6, 0, 14] = x124 * (
x144 * (x1 * (x149 * x33 + 2.0 * x93 + 7.0 * x94) + x146 * x31) - x145 * x71
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x104
result[7, 0, 3] = 0
result[7, 0, 4] = x116
result[7, 0, 5] = x117 * x3
result[7, 0, 6] = 0
result[7, 0, 7] = x115 * x55
result[7, 0, 8] = x114
result[7, 0, 9] = x118
result[7, 0, 10] = 0
result[7, 0, 11] = 0
result[7, 0, 12] = 0
result[7, 0, 13] = 0
result[7, 0, 14] = 0
result[8, 0, 0] = x124 * (-x1 * x153 * x17 + x123 * x152)
result[8, 0, 1] = x127 * (x154 * x26 - x155 * x73)
result[8, 0, 2] = x127 * x31 * (-x153 * x73 + x154)
result[8, 0, 3] = (
0.8660254037844386 * x132 * (x121 * x21 * x37 * x6 * x7 - x131 * x33)
)
result[8, 0, 4] = x134 * x155 * (x133 - x78)
result[8, 0, 5] = x132 * x156 * (x136 - x138)
result[8, 0, 6] = x127 * x3 * (2.720699046351327 * x1 * x2 * x21 * x5 * x50 - x158)
result[8, 0, 7] = (
x134 * x3 * (2.720699046351327 * x1 * x2 * x21 * x31 * x37 * x5 - x143 * x157)
)
result[8, 0, 8] = 0
result[8, 0, 9] = 0
result[8, 0, 10] = x124 * (2.720699046351327 * x1 * x2 * x21 * x5 * x66 - x150 * x152)
result[8, 0, 11] = x127 * x31 * (2.720699046351327 * x1 * x2 * x21 * x5 * x50 - x158)
result[8, 0, 12] = x132 * (
0.8660254037844386 * x1 * x37 * x45 * x5 * x6 * x7 - x151 * x156
)
result[8, 0, 13] = 0
result[8, 0, 14] = 0
return result
[docs]
def multipole3d_sph_10(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (ps) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 3, 1), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = ax * bx * x1
x3 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x2 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x4 = 1.0 * x1 * x3
x5 = 0.5 * x3 / x0**2
# 27 item(s)
result[0, 0, 0] = -x4 * (-x1 * (ax * A[0] + bx * B[0]) + A[0])
result[0, 1, 0] = -x4 * (-x1 * (ax * A[1] + bx * B[1]) + A[1])
result[0, 2, 0] = -x4 * (-x1 * (ax * A[2] + bx * B[2]) + A[2])
result[1, 0, 0] = 0
result[1, 1, 0] = x5
result[1, 2, 0] = 0
result[2, 0, 0] = 0
result[2, 1, 0] = 0
result[2, 2, 0] = x5
result[3, 0, 0] = x5
result[3, 1, 0] = 0
result[3, 2, 0] = 0
result[4, 0, 0] = 0
result[4, 1, 0] = 0
result[4, 2, 0] = 0
result[5, 0, 0] = 0
result[5, 1, 0] = 0
result[5, 2, 0] = 0
result[6, 0, 0] = 0
result[6, 1, 0] = 0
result[6, 2, 0] = 0
result[7, 0, 0] = 0
result[7, 1, 0] = 0
result[7, 2, 0] = 0
result[8, 0, 0] = 0
result[8, 1, 0] = 0
result[8, 2, 0] = 0
return result
[docs]
def multipole3d_sph_11(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (pp) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 3, 3), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = 0.5 * x1
x3 = x1 * (ax * A[0] + bx * B[0])
x4 = -x3
x5 = x4 + A[0]
x6 = x4 + B[0]
x7 = ax * bx * x1
x8 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x7 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x9 = 1.0 * x1 * x8
x10 = x1 * (ax * A[1] + bx * B[1])
x11 = -x10
x12 = x11 + B[1]
x13 = x5 * x9
x14 = x1 * (ax * A[2] + bx * B[2])
x15 = -x14
x16 = x15 + B[2]
x17 = x11 + A[1]
x18 = x17 * x9
x19 = x15 + A[2]
x20 = x19 * x9
x21 = 0.5 * x8 / x0**2
x22 = -x21 * x5
x23 = -x21 * x6
x24 = -x16 * x21
x25 = -x19 * x21
x26 = -x17 * x21
x27 = -x12 * x21
x28 = x8 / x0**3
x29 = 0.4330127018922193 * x28
x30 = -0.25 * x28
# 81 item(s)
result[0, 0, 0] = x9 * (x2 + x5 * x6)
result[0, 0, 1] = x12 * x13
result[0, 0, 2] = x13 * x16
result[0, 1, 0] = x18 * x6
result[0, 1, 1] = x9 * (x12 * x17 + x2)
result[0, 1, 2] = x16 * x18
result[0, 2, 0] = x20 * x6
result[0, 2, 1] = x12 * x20
result[0, 2, 2] = x9 * (x16 * x19 + x2)
result[1, 0, 0] = 0
result[1, 0, 1] = x22
result[1, 0, 2] = 0
result[1, 1, 0] = x23
result[1, 1, 1] = x21 * (2.0 * x10 - A[1] - B[1])
result[1, 1, 2] = x24
result[1, 2, 0] = 0
result[1, 2, 1] = x25
result[1, 2, 2] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x22
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x26
result[2, 2, 0] = x23
result[2, 2, 1] = x27
result[2, 2, 2] = x21 * (2.0 * x14 - A[2] - B[2])
result[3, 0, 0] = x21 * (2.0 * x3 - A[0] - B[0])
result[3, 0, 1] = x27
result[3, 0, 2] = x24
result[3, 1, 0] = x26
result[3, 1, 1] = 0
result[3, 1, 2] = 0
result[3, 2, 0] = x25
result[3, 2, 1] = 0
result[3, 2, 2] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x29
result[4, 0, 2] = 0
result[4, 1, 0] = x29
result[4, 1, 1] = 0
result[4, 1, 2] = 0
result[4, 2, 0] = 0
result[4, 2, 1] = 0
result[4, 2, 2] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x29
result[5, 2, 0] = 0
result[5, 2, 1] = x29
result[5, 2, 2] = 0
result[6, 0, 0] = x30
result[6, 0, 1] = 0
result[6, 0, 2] = 0
result[6, 1, 0] = 0
result[6, 1, 1] = x30
result[6, 1, 2] = 0
result[6, 2, 0] = 0
result[6, 2, 1] = 0
result[6, 2, 2] = 0.5 * x28
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x29
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = 0
result[7, 2, 0] = x29
result[7, 2, 1] = 0
result[7, 2, 2] = 0
result[8, 0, 0] = x29
result[8, 0, 1] = 0
result[8, 0, 2] = 0
result[8, 1, 0] = 0
result[8, 1, 1] = -x29
result[8, 1, 2] = 0
result[8, 2, 0] = 0
result[8, 2, 1] = 0
result[8, 2, 2] = 0
return result
[docs]
def multipole3d_sph_12(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (pd) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 3, 6), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -2.0 * x2 + A[0] + B[0]
x4 = x1 * x3
x5 = -x2
x6 = x5 + B[0]
x7 = x5 + A[0]
x8 = x6 * x7
x9 = 2.0 * x8
x10 = x1 + x9
x11 = ax * bx * x1
x12 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x11 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x13 = x1 * x12
x14 = 1.732050807568877
x15 = 0.1666666666666667 * x14
x16 = x13 * x15
x17 = x1 * (ax * A[1] + bx * B[1])
x18 = -x17
x19 = x18 + B[1]
x20 = 0.5 * x1
x21 = x20 + x8
x22 = 1.0 * x13
x23 = x21 * x22
x24 = x1 * (ax * A[2] + bx * B[2])
x25 = -x24
x26 = x25 + B[2]
x27 = x19**2 + x20
x28 = 0.3333333333333333 * x7
x29 = x13 * x14
x30 = x28 * x29
x31 = x22 * x26
x32 = x20 + x26**2
x33 = x20 + x6**2
x34 = x18 + A[1]
x35 = 0.3333333333333333 * x29
x36 = x34 * x35
x37 = x19 * x34
x38 = x20 + x37
x39 = x22 * x38
x40 = x34 * x6
x41 = -2.0 * x17 + A[1] + B[1]
x42 = x1 * x41
x43 = 2.0 * x37
x44 = x1 + x43
x45 = x25 + A[2]
x46 = x35 * x45
x47 = x19 * x45
x48 = x26 * x45
x49 = x20 + x48
x50 = x22 * x49
x51 = -2.0 * x24 + A[2] + B[2]
x52 = x1 * x51
x53 = 2.0 * x48
x54 = x1 + x53
x55 = x0 ** (-2.0)
x56 = 0.5 * x12
x57 = x55 * x56
x58 = x21 * x57
x59 = x12 * x55
x60 = x14 * x59
x61 = x28 * x60
x62 = x26 * x57
x63 = x15 * x59
x64 = x33 * x63
x65 = x57 * x6
x66 = 1.5 * x1
x67 = x32 * x63
x68 = 0.3333333333333333 * x60
x69 = x49 * x57
x70 = x19 * x57
x71 = x38 * x57
x72 = x27 * x63
x73 = x0 ** (-3.0)
x74 = x12 * x73
x75 = 0.4330127018922193 * x74
x76 = -x3 * x75
x77 = x14 * x74
x78 = 0.2886751345948129 * x77
x79 = -x19 * x78
x80 = x26 * x75
x81 = -x80
x82 = -x6 * x78
x83 = -x41 * x75
x84 = x6 * x75
x85 = -x84
x86 = -x26 * x78
x87 = -x51 * x75
x88 = 3.0 * x1
x89 = x10 * x6 - 2.0 * x4 - x6 * (x88 + x9)
x90 = 0.04166666666666666 * x60
x91 = 0.25 * x74
x92 = x26 * x91
x93 = 0.08333333333333333 * x77
x94 = x15 * x74
x95 = x19 * x44 - x19 * (x43 + x88) - 2.0 * x42
x96 = x45 * x93
x97 = x56 * x73
x98 = -x19 * x75
x99 = 0.07216878364870322 * x60
x100 = 0.1443375672974064 * x77
x101 = x100 * x45
# 162 item(s)
result[0, 0, 0] = -x16 * (x10 * x6 + x4)
result[0, 0, 1] = -x19 * x23
result[0, 0, 2] = -x23 * x26
result[0, 0, 3] = -x27 * x30
result[0, 0, 4] = -x19 * x31 * x7
result[0, 0, 5] = -x30 * x32
result[0, 1, 0] = -x33 * x36
result[0, 1, 1] = -x39 * x6
result[0, 1, 2] = -x31 * x40
result[0, 1, 3] = -x16 * (x19 * x44 + x42)
result[0, 1, 4] = -x26 * x39
result[0, 1, 5] = -x32 * x36
result[0, 2, 0] = -x33 * x46
result[0, 2, 1] = -x22 * x47 * x6
result[0, 2, 2] = -x50 * x6
result[0, 2, 3] = -x27 * x46
result[0, 2, 4] = -x19 * x50
result[0, 2, 5] = -x16 * (x26 * x54 + x52)
result[1, 0, 0] = 0
result[1, 0, 1] = x58
result[1, 0, 2] = 0
result[1, 0, 3] = x19 * x61
result[1, 0, 4] = x62 * x7
result[1, 0, 5] = 0
result[1, 1, 0] = x64
result[1, 1, 1] = x41 * x65
result[1, 1, 2] = x6 * x62
result[1, 1, 3] = x63 * (x19 * x41 + x37 + x66)
result[1, 1, 4] = x41 * x62
result[1, 1, 5] = x67
result[1, 2, 0] = 0
result[1, 2, 1] = x45 * x65
result[1, 2, 2] = 0
result[1, 2, 3] = x47 * x68
result[1, 2, 4] = x69
result[1, 2, 5] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x58
result[2, 0, 3] = 0
result[2, 0, 4] = x7 * x70
result[2, 0, 5] = x26 * x61
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x34 * x65
result[2, 1, 3] = 0
result[2, 1, 4] = x71
result[2, 1, 5] = x26 * x34 * x68
result[2, 2, 0] = x64
result[2, 2, 1] = x19 * x65
result[2, 2, 2] = x51 * x65
result[2, 2, 3] = x72
result[2, 2, 4] = x51 * x70
result[2, 2, 5] = x63 * (x26 * x51 + x48 + x66)
result[3, 0, 0] = x63 * (x3 * x6 + x66 + x8)
result[3, 0, 1] = x3 * x70
result[3, 0, 2] = x3 * x62
result[3, 0, 3] = x72
result[3, 0, 4] = x19 * x62
result[3, 0, 5] = x67
result[3, 1, 0] = x40 * x68
result[3, 1, 1] = x71
result[3, 1, 2] = x34 * x62
result[3, 1, 3] = 0
result[3, 1, 4] = 0
result[3, 1, 5] = 0
result[3, 2, 0] = x45 * x6 * x68
result[3, 2, 1] = x45 * x70
result[3, 2, 2] = x69
result[3, 2, 3] = 0
result[3, 2, 4] = 0
result[3, 2, 5] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x76
result[4, 0, 2] = 0
result[4, 0, 3] = x79
result[4, 0, 4] = x81
result[4, 0, 5] = 0
result[4, 1, 0] = x82
result[4, 1, 1] = x83
result[4, 1, 2] = x81
result[4, 1, 3] = 0
result[4, 1, 4] = 0
result[4, 1, 5] = 0
result[4, 2, 0] = 0
result[4, 2, 1] = -x45 * x75
result[4, 2, 2] = 0
result[4, 2, 3] = 0
result[4, 2, 4] = 0
result[4, 2, 5] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = -x7 * x75
result[5, 0, 5] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x85
result[5, 1, 3] = 0
result[5, 1, 4] = x83
result[5, 1, 5] = x86
result[5, 2, 0] = 0
result[5, 2, 1] = x85
result[5, 2, 2] = 0
result[5, 2, 3] = x79
result[5, 2, 4] = x87
result[5, 2, 5] = 0
result[6, 0, 0] = -x89 * x90
result[6, 0, 1] = x19 * x91
result[6, 0, 2] = x92
result[6, 0, 3] = x7 * x93
result[6, 0, 4] = 0
result[6, 0, 5] = -x7 * x94
result[6, 1, 0] = x34 * x93
result[6, 1, 1] = x6 * x91
result[6, 1, 2] = 0
result[6, 1, 3] = -x90 * x95
result[6, 1, 4] = x92
result[6, 1, 5] = -x34 * x94
result[6, 2, 0] = x96
result[6, 2, 1] = 0
result[6, 2, 2] = -x6 * x97
result[6, 2, 3] = x96
result[6, 2, 4] = -x19 * x97
result[6, 2, 5] = (
-0.08333333333333333 * x60 * (-x26 * x54 + x26 * (x53 + x88) + 2.0 * x52)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x76
result[7, 0, 3] = 0
result[7, 0, 4] = x98
result[7, 0, 5] = x86
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = -x34 * x75
result[7, 1, 3] = 0
result[7, 1, 4] = 0
result[7, 1, 5] = 0
result[7, 2, 0] = x82
result[7, 2, 1] = x98
result[7, 2, 2] = x87
result[7, 2, 3] = 0
result[7, 2, 4] = 0
result[7, 2, 5] = 0
result[8, 0, 0] = x89 * x99
result[8, 0, 1] = x98
result[8, 0, 2] = x81
result[8, 0, 3] = x100 * x7
result[8, 0, 4] = 0
result[8, 0, 5] = 0
result[8, 1, 0] = -x100 * x34
result[8, 1, 1] = x84
result[8, 1, 2] = 0
result[8, 1, 3] = -x95 * x99
result[8, 1, 4] = x80
result[8, 1, 5] = 0
result[8, 2, 0] = -x101
result[8, 2, 1] = 0
result[8, 2, 2] = 0
result[8, 2, 3] = x101
result[8, 2, 4] = 0
result[8, 2, 5] = 0
return result
[docs]
def multipole3d_sph_13(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (pf) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 3, 10), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -x2
x4 = x3 + A[0]
x5 = x3 + B[0]
x6 = x4 * x5
x7 = x5**2
x8 = 2.0 * x7
x9 = 3.0 * x1
x10 = x8 + x9
x11 = x1 * (x10 + 4.0 * x6)
x12 = -2.0 * x2 + A[0] + B[0]
x13 = x1 * x12
x14 = 2.0 * x6
x15 = x1 + x14
x16 = x15 * x5
x17 = x13 + x16
x18 = 2.0 * x5
x19 = ax * bx * x1
x20 = (
5.568327996831708
* da
* db
* numpy.exp(-x19 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x21 = numpy.sqrt(x1) * x20
x22 = 3.872983346207417 * x21
x23 = 0.01666666666666667 * x22
x24 = x1 * x23
x25 = x1 * (ax * A[1] + bx * B[1])
x26 = -x25
x27 = x26 + B[1]
x28 = 0.1666666666666667 * x27
x29 = 1.732050807568877
x30 = x17 * x29
x31 = x1 * x21
x32 = x30 * x31
x33 = x1 * (ax * A[2] + bx * B[2])
x34 = -x33
x35 = x34 + B[2]
x36 = 0.1666666666666667 * x35
x37 = 0.5 * x1
x38 = x37 + x6
x39 = 0.3333333333333333 * x38
x40 = x27**2
x41 = x29 * (x37 + x40)
x42 = x1**1.5 * x20
x43 = x41 * x42
x44 = 1.0 * x27
x45 = x31 * x35
x46 = x35**2
x47 = x37 + x46
x48 = x29 * x42
x49 = x47 * x48
x50 = 1.5 * x1
x51 = x27 * (x40 + x50)
x52 = x1 * x4
x53 = 0.06666666666666667 * x22
x54 = x52 * x53
x55 = 0.3333333333333333 * x21
x56 = x52 * x55
x57 = x27 * x29
x58 = x35 * (x46 + x50)
x59 = x5 * (x50 + x7)
x60 = x26 + A[1]
x61 = x1 * x60
x62 = x53 * x61
x63 = x27 * x60
x64 = x37 + x63
x65 = 0.3333333333333333 * x64
x66 = x37 + x7
x67 = x48 * x66
x68 = x55 * x61
x69 = 0.1666666666666667 * x5
x70 = -2.0 * x25 + A[1] + B[1]
x71 = x1 * x70
x72 = 2.0 * x63
x73 = x1 + x72
x74 = x27 * x73
x75 = x71 + x74
x76 = x29 * x31
x77 = x75 * x76
x78 = x29 * x5
x79 = 2.0 * x40
x80 = x79 + x9
x81 = x1 * (4.0 * x63 + x80)
x82 = 2.0 * x27
x83 = x34 + A[2]
x84 = x1 * x83
x85 = x53 * x84
x86 = x55 * x84
x87 = x35 * x83
x88 = x37 + x87
x89 = 0.3333333333333333 * x88
x90 = x21 * x88
x91 = -2.0 * x33 + A[2] + B[2]
x92 = x1 * x91
x93 = 2.0 * x87
x94 = x1 + x93
x95 = x35 * x94
x96 = x92 + x95
x97 = x76 * x96
x98 = 2.0 * x46
x99 = x9 + x98
x100 = x1 * (4.0 * x87 + x99)
x101 = 2.0 * x35
x102 = x0 ** (-2.0)
x103 = x102 * x21
x104 = 0.08333333333333333 * x103
x105 = -x104 * x30
x106 = x103 * x29
x107 = x106 * x39
x108 = 0.5 * x35
x109 = x103 * x38
x110 = 6.0 * x40 + x9
x111 = x102 * x23
x112 = x110 * x111
x113 = 0.3333333333333333 * x106 * x27
x114 = -x113 * x35 * x4
x115 = x106 * x47
x116 = 0.1666666666666667 * x4
x117 = x102 * x22
x118 = 0.03333333333333333 * x117
x119 = -x118 * x59
x120 = 0.1666666666666667 * x71
x121 = x106 * x36
x122 = x27 * x70
x123 = x122 + x50 + x63
x124 = x106 * x69
x125 = x103 * x108
x126 = x5 * x70
x127 = x72 + x9
x128 = -x118 * x58
x129 = x106 * x66
x130 = 0.1666666666666667 * x83
x131 = -x113 * x5 * x83
x132 = 0.5 * x5
x133 = x102 * x90
x134 = 0.3333333333333333 * x133
x135 = x104 * x29
x136 = -x135 * x96
x137 = 0.5 * x27
x138 = x103 * x41
x139 = 6.0 * x46 + x9
x140 = x111 * x139
x141 = 0.1666666666666667 * x60
x142 = x103 * x64
x143 = -0.3333333333333333 * x106 * x35 * x5 * x60
x144 = -x135 * x75
x145 = x106 * x65
x146 = 0.1666666666666667 * x92
x147 = x132 * x27
x148 = x35 * x91
x149 = x148 + x50 + x87
x150 = -x118 * x51
x151 = x9 + x93
x152 = x12 * x5
x153 = x14 + x9
x154 = x29 * (x152 + x50 + x6)
x155 = x103 * x154
x156 = 0.1666666666666667 * x13
x157 = 6.0 * x7 + x9
x158 = x111 * x157
x159 = x0 ** (-3.0)
x160 = x159 * x21
x161 = 0.1443375672974064 * x160
x162 = x154 * x161
x163 = 0.2886751345948129 * x57
x164 = x160 * x163
x165 = 0.4330127018922193 * x159
x166 = x165 * x21
x167 = x166 * x35
x168 = x159 * x22
x169 = 0.01443375672974064 * x168
x170 = x110 * x169
x171 = x160 * x35
x172 = x163 * x171
x173 = x161 * x29
x174 = x173 * x47
x175 = x157 * x169
x176 = 0.2886751345948129 * x160
x177 = 0.2886751345948129 * x171
x178 = x177 * x78
x179 = x123 * x173
x180 = x78 * x83
x181 = x177 * x29
x182 = x173 * x66
x183 = 0.4330127018922193 * x5
x184 = x160 * x183
x185 = x139 * x169
x186 = x164 * x5
x187 = x149 * x173
x188 = 0.25 * x5
x189 = 15.0 * x1
x190 = 4.0 * x152 + x189 + 8.0 * x6 + x8
x191 = x153 * x5
x192 = x12 * x9 + x191
x193 = 0.03333333333333333 * x117
x194 = 2.0 * x13 - x16 + x191
x195 = 0.04166666666666666 * x106
x196 = x194 * x195
x197 = x1 + x79
x198 = 0.25 * x197
x199 = 0.25 * x80
x200 = 0.5 * x197
x201 = x1 * x48
x202 = 0.08333333333333333 * x201
x203 = 0.25 * x27
x204 = x1 + x98
x205 = 2.0 * x99
x206 = 0.02083333333333333 * x201
x207 = x168 * x4
x208 = 0.05 * x27
x209 = x29 * x4
x210 = 0.08333333333333333 * x171
x211 = 0.1 * x35
x212 = x168 * x60
x213 = 0.05 * x5
x214 = x1 + x8
x215 = 0.25 * x214
x216 = 0.25 * x10
x217 = 0.5 * x214
x218 = x29 * x60
x219 = x127 * x27
x220 = x219 + 2.0 * x71 - x74
x221 = x195 * x220
x222 = 4.0 * x122 + x189 + 8.0 * x63 + x79
x223 = x219 + x70 * x9
x224 = x168 * x83
x225 = 0.08333333333333333 * x160
x226 = x151 * x35
x227 = x135 * (-x226 + x35 * x94 - 2.0 * x92)
x228 = 0.4330127018922193 * x27
x229 = x160 * x228
x230 = x161 * x41
x231 = x176 * x78
x232 = 0.07216878364870322 * x106
x233 = -x194 * x232
x234 = 0.07216878364870322 * x102 * x48
x235 = x204 * x234
x236 = 0.08660254037844385 * x27
x237 = x173 * x35
x238 = 0.08660254037844385 * x5
x239 = x220 * x232
x240 = x173 * x83
x241 = x234 * x94
# 270 item(s)
result[0, 0, 0] = x24 * (x11 + x17 * x18)
result[0, 0, 1] = x28 * x32
result[0, 0, 2] = x32 * x36
result[0, 0, 3] = x39 * x43
result[0, 0, 4] = x38 * x44 * x45
result[0, 0, 5] = x39 * x49
result[0, 0, 6] = x51 * x54
result[0, 0, 7] = x35 * x41 * x56
result[0, 0, 8] = x47 * x56 * x57
result[0, 0, 9] = x54 * x58
result[0, 1, 0] = x59 * x62
result[0, 1, 1] = x65 * x67
result[0, 1, 2] = x29 * x35 * x66 * x68
result[0, 1, 3] = x69 * x77
result[0, 1, 4] = 1.0 * x45 * x5 * x64
result[0, 1, 5] = x47 * x68 * x78
result[0, 1, 6] = x24 * (x75 * x82 + x81)
result[0, 1, 7] = x36 * x77
result[0, 1, 8] = x49 * x65
result[0, 1, 9] = x58 * x62
result[0, 2, 0] = x59 * x85
result[0, 2, 1] = x57 * x66 * x86
result[0, 2, 2] = x67 * x89
result[0, 2, 3] = x41 * x5 * x86
result[0, 2, 4] = x1 * x44 * x5 * x90
result[0, 2, 5] = x69 * x97
result[0, 2, 6] = x51 * x85
result[0, 2, 7] = x43 * x89
result[0, 2, 8] = x28 * x97
result[0, 2, 9] = x24 * (x100 + x101 * x96)
result[1, 0, 0] = 0
result[1, 0, 1] = x105
result[1, 0, 2] = 0
result[1, 0, 3] = -x107 * x27
result[1, 0, 4] = -x108 * x109
result[1, 0, 5] = 0
result[1, 0, 6] = -x112 * x4
result[1, 0, 7] = x114
result[1, 0, 8] = -x115 * x116
result[1, 0, 9] = 0
result[1, 1, 0] = x119
result[1, 1, 1] = -x120 * x67
result[1, 1, 2] = -x121 * x66
result[1, 1, 3] = -x123 * x124
result[1, 1, 4] = -x125 * x126
result[1, 1, 5] = -x115 * x69
result[1, 1, 6] = (
-0.5
* x118
* (2.0 * x1 * x82 + x27 * (2.0 * x122 + x127) + 2.0 * x37 * x70 + 2.0 * x61 + x74)
)
result[1, 1, 7] = -x121 * x123
result[1, 1, 8] = -x120 * x49
result[1, 1, 9] = x128
result[1, 2, 0] = 0
result[1, 2, 1] = -x129 * x130
result[1, 2, 2] = 0
result[1, 2, 3] = x131
result[1, 2, 4] = -x132 * x133
result[1, 2, 5] = 0
result[1, 2, 6] = -x112 * x83
result[1, 2, 7] = -x134 * x57
result[1, 2, 8] = x136
result[1, 2, 9] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x105
result[2, 0, 3] = 0
result[2, 0, 4] = -x109 * x137
result[2, 0, 5] = -x107 * x35
result[2, 0, 6] = 0
result[2, 0, 7] = -x116 * x138
result[2, 0, 8] = x114
result[2, 0, 9] = -x140 * x4
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = -x129 * x141
result[2, 1, 3] = 0
result[2, 1, 4] = -x132 * x142
result[2, 1, 5] = x143
result[2, 1, 6] = 0
result[2, 1, 7] = x144
result[2, 1, 8] = -x145 * x35
result[2, 1, 9] = -x140 * x60
result[2, 2, 0] = x119
result[2, 2, 1] = -x129 * x28
result[2, 2, 2] = -x146 * x67
result[2, 2, 3] = -x138 * x69
result[2, 2, 4] = -x103 * x147 * x91
result[2, 2, 5] = -x124 * x149
result[2, 2, 6] = x150
result[2, 2, 7] = -x146 * x43
result[2, 2, 8] = -x106 * x149 * x28
result[2, 2, 9] = (
-0.5
* x118
* (
2.0 * x1 * x101
+ x35 * (2.0 * x148 + x151)
+ 2.0 * x37 * x91
+ 2.0 * x84
+ x95
)
)
result[3, 0, 0] = (
-0.5 * x118 * (2.0 * x1 * x18 + x13 + x16 + x5 * (2.0 * x152 + x153) + 2.0 * x52)
)
result[3, 0, 1] = -x155 * x28
result[3, 0, 2] = -x155 * x36
result[3, 0, 3] = -x156 * x43
result[3, 0, 4] = -x12 * x125 * x27
result[3, 0, 5] = -x156 * x49
result[3, 0, 6] = x150
result[3, 0, 7] = -x138 * x36
result[3, 0, 8] = -x115 * x28
result[3, 0, 9] = x128
result[3, 1, 0] = -x158 * x60
result[3, 1, 1] = -x145 * x5
result[3, 1, 2] = x143
result[3, 1, 3] = x144
result[3, 1, 4] = -x108 * x142
result[3, 1, 5] = -x115 * x141
result[3, 1, 6] = 0
result[3, 1, 7] = 0
result[3, 1, 8] = 0
result[3, 1, 9] = 0
result[3, 2, 0] = -x158 * x83
result[3, 2, 1] = x131
result[3, 2, 2] = -x134 * x78
result[3, 2, 3] = -x130 * x138
result[3, 2, 4] = -x133 * x137
result[3, 2, 5] = x136
result[3, 2, 6] = 0
result[3, 2, 7] = 0
result[3, 2, 8] = 0
result[3, 2, 9] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x162
result[4, 0, 2] = 0
result[4, 0, 3] = x12 * x164
result[4, 0, 4] = x12 * x167
result[4, 0, 5] = 0
result[4, 0, 6] = x170
result[4, 0, 7] = x172
result[4, 0, 8] = x174
result[4, 0, 9] = 0
result[4, 1, 0] = x175
result[4, 1, 1] = x126 * x176 * x29
result[4, 1, 2] = x178
result[4, 1, 3] = x179
result[4, 1, 4] = x167 * x70
result[4, 1, 5] = x174
result[4, 1, 6] = 0
result[4, 1, 7] = 0
result[4, 1, 8] = 0
result[4, 1, 9] = 0
result[4, 2, 0] = 0
result[4, 2, 1] = x176 * x180
result[4, 2, 2] = 0
result[4, 2, 3] = x164 * x83
result[4, 2, 4] = x165 * x90
result[4, 2, 5] = 0
result[4, 2, 6] = 0
result[4, 2, 7] = 0
result[4, 2, 8] = 0
result[4, 2, 9] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x166 * x38
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x164 * x4
result[5, 0, 8] = x181 * x4
result[5, 0, 9] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x182
result[5, 1, 3] = 0
result[5, 1, 4] = x184 * x70
result[5, 1, 5] = x178
result[5, 1, 6] = 0
result[5, 1, 7] = x179
result[5, 1, 8] = x181 * x70
result[5, 1, 9] = x185
result[5, 2, 0] = 0
result[5, 2, 1] = x182
result[5, 2, 2] = 0
result[5, 2, 3] = x186
result[5, 2, 4] = x184 * x91
result[5, 2, 5] = 0
result[5, 2, 6] = x170
result[5, 2, 7] = x164 * x91
result[5, 2, 8] = x187
result[5, 2, 9] = 0
result[6, 0, 0] = -x193 * (
0.125 * x1 * x190 - 0.125 * x11 - x17 * x188 + 0.25 * x192 * x5
)
result[6, 0, 1] = -x196 * x27
result[6, 0, 2] = -x196 * x35
result[6, 0, 3] = x202 * (-x15 * x199 + x15 * x200 - x153 * x198)
result[6, 0, 4] = -x171 * x203
result[6, 0, 5] = x206 * (-x15 * x204 + x15 * x205 - x153 * x204)
result[6, 0, 6] = -x207 * x208
result[6, 0, 7] = -x209 * x210
result[6, 0, 8] = x160 * x209 * x28
result[6, 0, 9] = x207 * x211
result[6, 1, 0] = -x212 * x213
result[6, 1, 1] = x202 * (-x127 * x215 - x216 * x73 + x217 * x73)
result[6, 1, 2] = -x210 * x218
result[6, 1, 3] = -x221 * x5
result[6, 1, 4] = -x171 * x188
result[6, 1, 5] = x160 * x218 * x69
result[6, 1, 6] = -x193 * (
0.125 * x1 * x222 - x203 * x75 + 0.25 * x223 * x27 - 0.125 * x81
)
result[6, 1, 7] = -x221 * x35
result[6, 1, 8] = x206 * (-x127 * x204 - x204 * x73 + x205 * x73)
result[6, 1, 9] = x211 * x212
result[6, 2, 0] = -x213 * x224
result[6, 2, 1] = -x225 * x57 * x83
result[6, 2, 2] = x202 * (x151 * x217 - x215 * x94 - x216 * x94)
result[6, 2, 3] = -x180 * x225
result[6, 2, 4] = x147 * x160
result[6, 2, 5] = -x227 * x5
result[6, 2, 6] = -x208 * x224
result[6, 2, 7] = x202 * (x151 * x200 - x198 * x94 - x199 * x94)
result[6, 2, 8] = -x227 * x27
result[6, 2, 9] = x193 * (
0.25 * x1 * (4.0 * x148 + x189 + 8.0 * x87 + x98)
- 0.25 * x100
- x108 * x96
+ 0.5 * x35 * (x226 + x9 * x91)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x162
result[7, 0, 3] = 0
result[7, 0, 4] = x12 * x229
result[7, 0, 5] = x12 * x181
result[7, 0, 6] = 0
result[7, 0, 7] = x230
result[7, 0, 8] = x172
result[7, 0, 9] = x185
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x231 * x60
result[7, 1, 3] = 0
result[7, 1, 4] = x166 * x64
result[7, 1, 5] = x181 * x60
result[7, 1, 6] = 0
result[7, 1, 7] = 0
result[7, 1, 8] = 0
result[7, 1, 9] = 0
result[7, 2, 0] = x175
result[7, 2, 1] = x186
result[7, 2, 2] = x231 * x91
result[7, 2, 3] = x230
result[7, 2, 4] = x229 * x91
result[7, 2, 5] = x187
result[7, 2, 6] = 0
result[7, 2, 7] = 0
result[7, 2, 8] = 0
result[7, 2, 9] = 0
result[8, 0, 0] = x193 * (
0.2165063509461096 * x1 * x190
- 0.2165063509461096 * x11
- x17 * x183
+ 0.4330127018922193 * x192 * x5
)
result[8, 0, 1] = -x233 * x27
result[8, 0, 2] = -x233 * x35
result[8, 0, 3] = 0.4330127018922193 * x202 * (-x15 * x80 + x153 * x197)
result[8, 0, 4] = x171 * x228
result[8, 0, 5] = x235
result[8, 0, 6] = -x207 * x236
result[8, 0, 7] = -x237 * x4
result[8, 0, 8] = 0
result[8, 0, 9] = 0
result[8, 1, 0] = x212 * x238
result[8, 1, 1] = 0.4330127018922193 * x202 * (x10 * x73 - x127 * x214)
result[8, 1, 2] = x237 * x60
result[8, 1, 3] = -x239 * x5
result[8, 1, 4] = -x184 * x35
result[8, 1, 5] = 0
result[8, 1, 6] = -x193 * (
0.2165063509461096 * x1 * x222
+ 0.4330127018922193 * x223 * x27
- x228 * x75
- 0.2165063509461096 * x81
)
result[8, 1, 7] = -x239 * x35
result[8, 1, 8] = -x235
result[8, 1, 9] = 0
result[8, 2, 0] = x224 * x238
result[8, 2, 1] = x240 * x27
result[8, 2, 2] = x241
result[8, 2, 3] = -x240 * x5
result[8, 2, 4] = 0
result[8, 2, 5] = 0
result[8, 2, 6] = -x224 * x236
result[8, 2, 7] = -x241
result[8, 2, 8] = 0
result[8, 2, 9] = 0
return result
[docs]
def multipole3d_sph_14(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (pg) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 3, 15), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - A[0]
x5 = ax * bx * x2
x6 = numpy.exp(-x5 * (A[0] - B[0]) ** 2)
x7 = 1.772453850905516
x8 = numpy.sqrt(x2)
x9 = x7 * x8
x10 = x6 * x9
x11 = x10 * x4
x12 = -x3 - B[0]
x13 = x10 * x12
x14 = x1 * (x11 + x13)
x15 = x1 * x10
x16 = x11 * x12
x17 = x15 + x16
x18 = x12 * x17
x19 = x10 * x12**2
x20 = x15 + x19
x21 = x12 * x20
x22 = x12 * x15
x23 = x21 + 2.0 * x22
x24 = 3.0 * x15
x25 = x19 + x24
x26 = x14 + x18
x27 = x1 * (2.0 * x16 + x25) + x12 * x26
x28 = x1 * (3.0 * x14 + 3.0 * x18 + x23) + x12 * x27
x29 = da * db
x30 = 10.2469507659596 * x29
x31 = 0.009523809523809525 * x30
x32 = numpy.exp(-x5 * (A[2] - B[2]) ** 2)
x33 = numpy.exp(-x5 * (A[1] - B[1]) ** 2)
x34 = 3.141592653589793 * x2 * x33
x35 = x32 * x34
x36 = x31 * x35
x37 = -x2 * (ax * A[1] + bx * B[1])
x38 = -x37 - B[1]
x39 = 3.872983346207417 * x29
x40 = 0.06666666666666667 * x39
x41 = x38 * x40
x42 = x27 * x35
x43 = -x2 * (ax * A[2] + bx * B[2])
x44 = -x43 - B[2]
x45 = x40 * x44
x46 = x33 * x9
x47 = x38**2 * x46
x48 = x1 * x46
x49 = x47 + x48
x50 = x32 * x9
x51 = 0.3333333333333333 * x29
x52 = x50 * x51
x53 = x26 * x38
x54 = 1.732050807568877
x55 = x51 * x54
x56 = x44 * x55
x57 = x35 * x56
x58 = x44**2 * x50
x59 = x1 * x50
x60 = x58 + x59
x61 = x51 * x60
x62 = x46 * x61
x63 = x38 * x49
x64 = x38 * x48
x65 = x63 + 2.0 * x64
x66 = x40 * x50
x67 = x17 * x49
x68 = x44 * x50
x69 = x55 * x68
x70 = x38 * x46
x71 = x54 * x61
x72 = x44 * x60
x73 = x44 * x59
x74 = x72 + 2.0 * x73
x75 = x40 * x74
x76 = x17 * x46
x77 = 3.0 * x48
x78 = x1 * (3.0 * x47 + x77) + x38 * x65
x79 = x2 * x6
x80 = 3.141592653589793 * x79
x81 = x32 * x80
x82 = x31 * x81
x83 = x78 * x82
x84 = x4 * x45 * x81
x85 = x38 * x4
x86 = x34 * x6
x87 = x75 * x86
x88 = 3.0 * x59
x89 = x1 * (3.0 * x58 + x88) + x44 * x74
x90 = x31 * x86
x91 = x89 * x90
x92 = -x37 - A[1]
x93 = x1 * (3.0 * x19 + x24) + x12 * x23
x94 = x36 * x93
x95 = x46 * x92
x96 = x38 * x95
x97 = x48 + x96
x98 = x23 * x35
x99 = x45 * x92
x100 = x1 * (x70 + x95)
x101 = x38 * x97
x102 = x100 + x101
x103 = x20 * x97
x104 = x47 + x77
x105 = x1 * (x104 + 2.0 * x96) + x102 * x38
x106 = x105 * x81
x107 = x12 * x40
x108 = x12 * x81
x109 = x102 * x108
x110 = x12 * x92
x111 = x1 * (3.0 * x100 + 3.0 * x101 + x65) + x105 * x38
x112 = x10 * x61
x113 = x10 * x75
x114 = -x43 - A[2]
x115 = x114 * x41
x116 = x114 * x50
x117 = x116 * x44
x118 = x117 + x59
x119 = x118 * x40
x120 = x23 * x46
x121 = x20 * x51
x122 = x121 * x49
x123 = x121 * x54
x124 = x123 * x70
x125 = x1 * (x116 + x68)
x126 = x118 * x44
x127 = x125 + x126
x128 = x127 * x51
x129 = x20 * x46
x130 = x114 * x65
x131 = x107 * x81
x132 = x13 * x49
x133 = x118 * x55
x134 = x128 * x54
x135 = x12 * x38
x136 = x135 * x86
x137 = x58 + x88
x138 = x1 * (2.0 * x117 + x137) + x127 * x44
x139 = x138 * x86
x140 = x10 * x119
x141 = x10 * x49
x142 = x1 * (3.0 * x125 + 3.0 * x126 + x74) + x138 * x44
x143 = x1 * x27
x144 = x35 * x40
x145 = x143 * x144
x146 = 0.6666666666666666 * x29
x147 = x1 * x35
x148 = x147 * x53
x149 = x1 * x44
x150 = x149 * x26
x151 = x150 * x35
x152 = x1 * x104
x153 = x1 * x47
x154 = x152 + 2.0 * x153
x155 = x17 * x54
x156 = x149 * x35
x157 = x156 * x38
x158 = x146 * x155 * x157
x159 = x1 * (x63 + 8.0 * x64) + x154 * x38
x160 = x159 * x82
x161 = x85 * x86
x162 = x1 * x146
x163 = x162 * x60
x164 = x1 * x86
x165 = x164 * x75
x166 = x1 * x93
x167 = x166 * x36
x168 = x48 * x92
x169 = x168 + x64
x170 = x1 * (x77 + x96)
x171 = x169 * x38
x172 = x170 + x171
x173 = x20 * x48
x174 = x1 * (x102 + 2.0 * x168 + 4.0 * x64)
x175 = x172 * x38
x176 = x174 + x175
x177 = x176 * x81
x178 = x12 * x86
x179 = x1 * x178
x180 = 3.0 * x170
x181 = x1 * x91
x182 = x1 * x23
x183 = x114 * x182
x184 = x147 * x38
x185 = x114 * x154
x186 = x136 * x54
x187 = x118 * x162 * x186
x188 = x38 * x86
x189 = x127 * x162
x190 = x1 * x40
x191 = x139 * x190
x192 = x55 * x59
x193 = x1 * x137
x194 = x1 * x58
x195 = x193 + 2.0 * x194
x196 = x195 * x40
x197 = x146 * x81
x198 = x149 * x197
x199 = x1 * (x72 + 8.0 * x73) + x195 * x44
x200 = x199 * x90
x201 = x182 * x92
x202 = x20 * x35
x203 = x54 * x97
x204 = x12 * x198 * x203
x205 = x110 * x86
x206 = x40 * x81
x207 = x1 * x105 * x206
x208 = x102 * x149
x209 = x114 * x59
x210 = x209 + x73
x211 = x210 * x40
x212 = x117 + x88
x213 = x1 * x212
x214 = x210 * x44
x215 = x213 + x214
x216 = x215 * x51
x217 = x1 * x81
x218 = x1 * (x127 + 2.0 * x209 + 4.0 * x73)
x219 = x215 * x44
x220 = x218 + x219
x221 = x220 * x86
x222 = x1 * x78 * x82
x223 = 3.0 * x213
x224 = x16 + x24
x225 = x1 * x224
x226 = 3.0 * x225
x227 = x15 * x4
x228 = x22 + x227
x229 = x12 * x228
x230 = x1 * x25
x231 = x1 * x19
x232 = x230 + 2.0 * x231
x233 = x1 * (4.0 * x22 + 2.0 * x227 + x26)
x234 = x225 + x229
x235 = x12 * x234
x236 = x233 + x235
x237 = x236 * x35
x238 = x228 * x49
x239 = x228 * x46
x240 = x15 * x49
x241 = x1 * x188
x242 = x1 * (x21 + 8.0 * x22) + x12 * x232
x243 = x242 * x36
x244 = x232 * x35
x245 = x232 * x46
x246 = x108 * x49
x247 = 0.1154700538379251 * x39
x248 = x147 * x247
x249 = x236 * x248
x250 = 1.154700538379251 * x29
x251 = x234 * x250
x252 = 0.5773502691896257 * x29
x253 = x252 * x54
x254 = x234 * x253
x255 = x247 * x50
x256 = x228 * x54
x257 = x157 * x250 * x256
x258 = x252 * x60
x259 = 0.01649572197684645 * x30
x260 = x159 * x217 * x259
x261 = x149 * x81
x262 = x154 * x247
x263 = x0 ** (-2.0)
x264 = x250 * x263
x265 = x264 * x60
x266 = x263 * x86
x267 = x247 * x266 * x74
x268 = x147 * x242 * x259
x269 = x172 * x250
x270 = x1 * x108
x271 = x169 * x54
x272 = x108 * x149 * x250 * x271
x273 = x1 * x247
x274 = x177 * x273
x275 = x172 * x253
x276 = x232 * x248
x277 = 12.85950267162766 * x263 * x29 * x32 * x33 * x79 * x8
x278 = x264 * x54
x279 = x118 * x278
x280 = x263 * x35
x281 = x264 * x38
x282 = x155 * x35
x283 = x264 * x44
x284 = x277 * x44
x285 = x195 * x247
x286 = x164 * x285
x287 = x23 * x247 * x280
x288 = x10 * x247
x289 = x164 * x199 * x259
x290 = x210 * x253
x291 = x135 * x164 * x210 * x250 * x54
x292 = x215 * x253
x293 = x215 * x250
x294 = x221 * x273
x295 = 0.5 * x32
x296 = x1 * x24 * (x12 + x4)
x297 = 3.0 * x263
x298 = x10 * x297 + x231
x299 = 6.0 * x263
x300 = x12 * x298 + x13 * x299
x301 = x12 * x225 + x296
x302 = x1 * (4.0 * x225 + 2.0 * x229 + x298) + x12 * x301
x303 = x34 * (
x1 * (x12 * x226 + 2.0 * x233 + 2.0 * x235 + 3.0 * x296 + x300) + x12 * x302
)
x304 = 0.009523809523809524 * x30
x305 = x295 * x34
x306 = x302 * x305
x307 = 0.06666666666666667 * x39
x308 = 0.5 * x50
x309 = x153 + x297 * x46
x310 = x26 * x309
x311 = 0.3333333333333333 * x29
x312 = x305 * x38
x313 = x301 * x44
x314 = x311 * x54
x315 = 0.5 * x60
x316 = x301 * x46
x317 = x194 + x297 * x50
x318 = x26 * x48
x319 = x299 * x70 + x309 * x38
x320 = x17 * x319
x321 = 0.5 * x17
x322 = x309 * x68
x323 = 0.5 * x68
x324 = x17 * x64
x325 = x299 * x68 + x317 * x44
x326 = x48 * x74
x327 = 0.5 * x46
x328 = 9.0 * x263
x329 = x1 * (2.0 * x152 + 7.0 * x153 + x328 * x46) + x319 * x38
x330 = x295 * x80
x331 = x329 * x330
x332 = x319 * x44
x333 = x11 * x309
x334 = 1.0 * x86
x335 = x325 * x334
x336 = x1 * x334
x337 = x336 * x74
x338 = x334 * (x1 * (2.0 * x193 + 7.0 * x194 + x328 * x50) + x325 * x44)
x339 = x336 * x89
x340 = x1 * (x10 * x328 + 2.0 * x230 + 7.0 * x231) + x12 * x300
x341 = x305 * x340
x342 = x300 * x97
x343 = x170 * x23
x344 = x300 * x92
x345 = x102 * x298
x346 = x1 * x77 * (x38 + x92)
x347 = x170 * x38 + x346
x348 = x20 * x347
x349 = 0.5 * x97
x350 = x298 * x68
x351 = x170 * x20
x352 = x298 * x95
x353 = x168 * x20
x354 = x1 * (4.0 * x170 + 2.0 * x171 + x309) + x347 * x38
x355 = x330 * x354
x356 = x12 * x330
x357 = x347 * x44
x358 = x22 * x97
x359 = x13 * x170
x360 = x80 * (
x1 * (2.0 * x174 + 2.0 * x175 + x180 * x38 + x319 + 3.0 * x346) + x354 * x38
)
x361 = x10 * x347
x362 = x15 * x74
x363 = 0.5 * x10
x364 = x170 * x74
x365 = x114 * x300
x366 = x118 * x300
x367 = 0.5 * x118
x368 = x23 * x48
x369 = 0.5 * x116
x370 = x20 * x309
x371 = x298 * x70
x372 = x20 * x64
x373 = x127 * x298
x374 = x1 * x88 * (x114 + x44)
x375 = x213 * x44 + x374
x376 = 0.5 * x127
x377 = x114 * x319
x378 = x13 * x309
x379 = x1 * (4.0 * x213 + 2.0 * x214 + x317) + x375 * x44
x380 = x334 * x379
x381 = x138 * x336
x382 = x118 * x319
x383 = x127 * x309
x384 = x263 * x81
x385 = x247 * x384 * x65
x386 = x283 * x81
x387 = 0.8660254037844386 * x32
x388 = x34 * x387
x389 = x302 * x388
x390 = x143 * x388
x391 = 0.8660254037844386 * x50
x392 = x38 * x388
x393 = 0.8660254037844386 * x60
x394 = 0.8660254037844386 * x17
x395 = x387 * x80
x396 = x329 * x395
x397 = x340 * x388
x398 = x166 * x388
x399 = x388 * x44
x400 = 0.8660254037844386 * x97
x401 = x354 * x395
x402 = x12 * x395
x403 = 0.8660254037844386 * x10
x404 = 0.8660254037844386 * x46
x405 = 0.8660254037844386 * x118
# 405 item(s)
result[0, 0, 0] = x28 * x36
result[0, 0, 1] = x41 * x42
result[0, 0, 2] = x42 * x45
result[0, 0, 3] = x26 * x49 * x52
result[0, 0, 4] = x53 * x57
result[0, 0, 5] = x26 * x62
result[0, 0, 6] = x17 * x65 * x66
result[0, 0, 7] = x67 * x69
result[0, 0, 8] = x17 * x70 * x71
result[0, 0, 9] = x75 * x76
result[0, 0, 10] = x4 * x83
result[0, 0, 11] = x65 * x84
result[0, 0, 12] = x11 * x49 * x61
result[0, 0, 13] = x85 * x87
result[0, 0, 14] = x4 * x91
result[0, 1, 0] = x92 * x94
result[0, 1, 1] = x23 * x66 * x97
result[0, 1, 2] = x98 * x99
result[0, 1, 3] = x102 * x20 * x52
result[0, 1, 4] = x103 * x69
result[0, 1, 5] = x20 * x61 * x95
result[0, 1, 6] = x106 * x107
result[0, 1, 7] = x109 * x56
result[0, 1, 8] = x13 * x71 * x97
result[0, 1, 9] = x110 * x87
result[0, 1, 10] = x111 * x82
result[0, 1, 11] = x106 * x45
result[0, 1, 12] = x102 * x112
result[0, 1, 13] = x113 * x97
result[0, 1, 14] = x91 * x92
result[0, 2, 0] = x114 * x94
result[0, 2, 1] = x115 * x98
result[0, 2, 2] = x119 * x120
result[0, 2, 3] = x116 * x122
result[0, 2, 4] = x118 * x124
result[0, 2, 5] = x128 * x129
result[0, 2, 6] = x130 * x131
result[0, 2, 7] = x132 * x133
result[0, 2, 8] = x134 * x136
result[0, 2, 9] = x107 * x139
result[0, 2, 10] = x114 * x83
result[0, 2, 11] = x140 * x65
result[0, 2, 12] = x128 * x141
result[0, 2, 13] = x139 * x41
result[0, 2, 14] = x142 * x90
result[1, 0, 0] = 0
result[1, 0, 1] = x145
result[1, 0, 2] = 0
result[1, 0, 3] = x146 * x148
result[1, 0, 4] = x151 * x55
result[1, 0, 5] = 0
result[1, 0, 6] = x154 * x17 * x66
result[1, 0, 7] = x158
result[1, 0, 8] = x17 * x48 * x71
result[1, 0, 9] = 0
result[1, 0, 10] = x160 * x4
result[1, 0, 11] = x154 * x84
result[1, 0, 12] = x161 * x163
result[1, 0, 13] = x165 * x4
result[1, 0, 14] = 0
result[1, 1, 0] = x167
result[1, 1, 1] = x169 * x23 * x66
result[1, 1, 2] = x144 * x149 * x23
result[1, 1, 3] = x172 * x20 * x52
result[1, 1, 4] = x123 * x169 * x68
result[1, 1, 5] = x173 * x61
result[1, 1, 6] = x107 * x177
result[1, 1, 7] = x108 * x172 * x56
result[1, 1, 8] = x13 * x169 * x71
result[1, 1, 9] = x179 * x75
result[1, 1, 10] = x82 * (x1 * (x105 + x154 + 3.0 * x171 + x180) + x176 * x38)
result[1, 1, 11] = x177 * x45
result[1, 1, 12] = x112 * x172
result[1, 1, 13] = x113 * x169
result[1, 1, 14] = x181
result[1, 2, 0] = 0
result[1, 2, 1] = x144 * x183
result[1, 2, 2] = 0
result[1, 2, 3] = x114 * x146 * x184 * x20
result[1, 2, 4] = x133 * x173
result[1, 2, 5] = 0
result[1, 2, 6] = x131 * x185
result[1, 2, 7] = x187
result[1, 2, 8] = x134 * x179
result[1, 2, 9] = 0
result[1, 2, 10] = x114 * x160
result[1, 2, 11] = x140 * x154
result[1, 2, 12] = x188 * x189
result[1, 2, 13] = x191
result[1, 2, 14] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x145
result[2, 0, 3] = 0
result[2, 0, 4] = x148 * x55
result[2, 0, 5] = x146 * x151
result[2, 0, 6] = 0
result[2, 0, 7] = x192 * x67
result[2, 0, 8] = x158
result[2, 0, 9] = x196 * x76
result[2, 0, 10] = 0
result[2, 0, 11] = x190 * x4 * x65 * x81
result[2, 0, 12] = x198 * x4 * x49
result[2, 0, 13] = x161 * x196
result[2, 0, 14] = x200 * x4
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x144 * x201
result[2, 1, 3] = 0
result[2, 1, 4] = x103 * x192
result[2, 1, 5] = x146 * x149 * x202 * x92
result[2, 1, 6] = 0
result[2, 1, 7] = x1 * x109 * x55
result[2, 1, 8] = x204
result[2, 1, 9] = x196 * x205
result[2, 1, 10] = 0
result[2, 1, 11] = x207
result[2, 1, 12] = x197 * x208
result[2, 1, 13] = x10 * x196 * x97
result[2, 1, 14] = x200 * x92
result[2, 2, 0] = x167
result[2, 2, 1] = x182 * x35 * x41
result[2, 2, 2] = x120 * x211
result[2, 2, 3] = x122 * x59
result[2, 2, 4] = x124 * x210
result[2, 2, 5] = x129 * x216
result[2, 2, 6] = x107 * x217 * x65
result[2, 2, 7] = x132 * x210 * x55
result[2, 2, 8] = x186 * x216
result[2, 2, 9] = x107 * x221
result[2, 2, 10] = x222
result[2, 2, 11] = x10 * x211 * x65
result[2, 2, 12] = x141 * x216
result[2, 2, 13] = x221 * x41
result[2, 2, 14] = x90 * (x1 * (x138 + x195 + 3.0 * x214 + x223) + x220 * x44)
result[3, 0, 0] = x36 * (x1 * (x226 + 3.0 * x229 + x232 + x27) + x12 * x236)
result[3, 0, 1] = x237 * x41
result[3, 0, 2] = x237 * x45
result[3, 0, 3] = x234 * x49 * x52
result[3, 0, 4] = x234 * x38 * x57
result[3, 0, 5] = x234 * x62
result[3, 0, 6] = x228 * x65 * x66
result[3, 0, 7] = x238 * x69
result[3, 0, 8] = x228 * x70 * x71
result[3, 0, 9] = x239 * x75
result[3, 0, 10] = x222
result[3, 0, 11] = x149 * x206 * x65
result[3, 0, 12] = x240 * x61
result[3, 0, 13] = x241 * x75
result[3, 0, 14] = x181
result[3, 1, 0] = x243 * x92
result[3, 1, 1] = x232 * x66 * x97
result[3, 1, 2] = x244 * x99
result[3, 1, 3] = x109 * x162
result[3, 1, 4] = x204
result[3, 1, 5] = x163 * x205
result[3, 1, 6] = x207
result[3, 1, 7] = x208 * x55 * x81
result[3, 1, 8] = x15 * x71 * x97
result[3, 1, 9] = x165 * x92
result[3, 1, 10] = 0
result[3, 1, 11] = 0
result[3, 1, 12] = 0
result[3, 1, 13] = 0
result[3, 1, 14] = 0
result[3, 2, 0] = x114 * x243
result[3, 2, 1] = x115 * x244
result[3, 2, 2] = x119 * x245
result[3, 2, 3] = x114 * x162 * x246
result[3, 2, 4] = x187
result[3, 2, 5] = x178 * x189
result[3, 2, 6] = x1 * x130 * x206
result[3, 2, 7] = x133 * x240
result[3, 2, 8] = x134 * x241
result[3, 2, 9] = x191
result[3, 2, 10] = 0
result[3, 2, 11] = 0
result[3, 2, 12] = 0
result[3, 2, 13] = 0
result[3, 2, 14] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x249
result[4, 0, 2] = 0
result[4, 0, 3] = x184 * x251
result[4, 0, 4] = x156 * x254
result[4, 0, 5] = 0
result[4, 0, 6] = x154 * x228 * x255
result[4, 0, 7] = x257
result[4, 0, 8] = x256 * x258 * x48
result[4, 0, 9] = 0
result[4, 0, 10] = x260
result[4, 0, 11] = x261 * x262
result[4, 0, 12] = x188 * x265
result[4, 0, 13] = x267
result[4, 0, 14] = 0
result[4, 1, 0] = x268
result[4, 1, 1] = x169 * x232 * x255
result[4, 1, 2] = x156 * x232 * x247
result[4, 1, 3] = x269 * x270
result[4, 1, 4] = x272
result[4, 1, 5] = x178 * x265
result[4, 1, 6] = x274
result[4, 1, 7] = x261 * x275
result[4, 1, 8] = x15 * x258 * x271
result[4, 1, 9] = x267
result[4, 1, 10] = 0
result[4, 1, 11] = 0
result[4, 1, 12] = 0
result[4, 1, 13] = 0
result[4, 1, 14] = 0
result[4, 2, 0] = 0
result[4, 2, 1] = x114 * x276
result[4, 2, 2] = 0
result[4, 2, 3] = x114 * x135 * x277
result[4, 2, 4] = x178 * x279
result[4, 2, 5] = 0
result[4, 2, 6] = x185 * x217 * x247
result[4, 2, 7] = x188 * x279
result[4, 2, 8] = x127 * x253 * x266
result[4, 2, 9] = 0
result[4, 2, 10] = 0
result[4, 2, 11] = 0
result[4, 2, 12] = 0
result[4, 2, 13] = 0
result[4, 2, 14] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x253 * x26 * x280
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x281 * x282
result[5, 0, 8] = x282 * x283
result[5, 0, 9] = 0
result[5, 0, 10] = 0
result[5, 0, 11] = x217 * x262 * x4
result[5, 0, 12] = x284 * x85
result[5, 0, 13] = x286 * x4
result[5, 0, 14] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x287
result[5, 1, 3] = 0
result[5, 1, 4] = x20 * x252 * x271 * x59
result[5, 1, 5] = x202 * x283
result[5, 1, 6] = 0
result[5, 1, 7] = x270 * x275
result[5, 1, 8] = x272
result[5, 1, 9] = x179 * x285
result[5, 1, 10] = 0
result[5, 1, 11] = x274
result[5, 1, 12] = x261 * x269
result[5, 1, 13] = x169 * x195 * x288
result[5, 1, 14] = x289
result[5, 2, 0] = 0
result[5, 2, 1] = x287
result[5, 2, 2] = 0
result[5, 2, 3] = x202 * x281
result[5, 2, 4] = x173 * x290
result[5, 2, 5] = 0
result[5, 2, 6] = x262 * x270
result[5, 2, 7] = x291
result[5, 2, 8] = x179 * x292
result[5, 2, 9] = 0
result[5, 2, 10] = x260
result[5, 2, 11] = x154 * x210 * x288
result[5, 2, 12] = x241 * x293
result[5, 2, 13] = x294
result[5, 2, 14] = 0
result[6, 0, 0] = x304 * (1.570796326794897 * x1 * x2 * x28 * x32 * x33 - x295 * x303)
result[6, 0, 1] = x307 * x38 * (1.570796326794897 * x1 * x2 * x27 * x32 * x33 - x306)
result[6, 0, 2] = x307 * x44 * (1.570796326794897 * x1 * x2 * x27 * x32 * x33 - x306)
result[6, 0, 3] = (
1.0 * x311 * (x1 * x26 * x32 * x49 * x7 * x8 - x301 * x308 * x49 - x308 * x310)
)
result[6, 0, 4] = x314 * (
1.570796326794897 * x1 * x2 * x26 * x32 * x33 * x38 * x44 - x312 * x313
)
result[6, 0, 5] = (
1.0 * x311 * (x26 * x317 * x33 * x7 * x8 - x315 * x316 - x315 * x318)
)
result[6, 0, 6] = (
1.0 * x307 * (x1 * x17 * x32 * x65 * x7 * x8 - x225 * x308 * x65 - x308 * x320)
)
result[6, 0, 7] = (
1.0
* x314
* (x1 * x17 * x32 * x44 * x49 * x7 * x8 - x225 * x323 * x49 - x321 * x322)
)
result[6, 0, 8] = (
1.0 * x314 * (x17 * x317 * x33 * x38 * x7 * x8 - x225 * x315 * x70 - x315 * x324)
)
result[6, 0, 9] = (
1.0 * x307 * (x17 * x325 * x33 * x7 * x8 - x225 * x327 * x74 - x321 * x326)
)
result[6, 0, 10] = x304 * x4 * (1.570796326794897 * x1 * x2 * x32 * x6 * x78 - x331)
result[6, 0, 11] = (
x307 * x4 * (1.570796326794897 * x1 * x2 * x32 * x44 * x6 * x65 - x330 * x332)
)
result[6, 0, 12] = (
1.0 * x311 * (-x227 * x315 * x49 - x315 * x333 + x317 * x4 * x49 * x6 * x7 * x8)
)
result[6, 0, 13] = x307 * x85 * (x335 - x337)
result[6, 0, 14] = x304 * x4 * (x338 - x339)
result[6, 1, 0] = x304 * x92 * (1.570796326794897 * x1 * x2 * x32 * x33 * x93 - x341)
result[6, 1, 1] = (
1.0 * x307 * (x1 * x23 * x32 * x7 * x8 * x97 - x308 * x342 - x308 * x343)
)
result[6, 1, 2] = (
x307 * x44 * (1.570796326794897 * x1 * x2 * x23 * x32 * x33 * x92 - x305 * x344)
)
result[6, 1, 3] = (
1.0 * x311 * (x1 * x102 * x20 * x32 * x7 * x8 - x308 * x345 - x308 * x348)
)
result[6, 1, 4] = (
1.0 * x314 * (x1 * x20 * x32 * x44 * x7 * x8 * x97 - x323 * x351 - x349 * x350)
)
result[6, 1, 5] = (
1.0 * x311 * (x20 * x317 * x33 * x7 * x8 * x92 - x315 * x352 - x315 * x353)
)
result[6, 1, 6] = x12 * x307 * (1.570796326794897 * x1 * x105 * x2 * x32 * x6 - x355)
result[6, 1, 7] = x314 * (
1.570796326794897 * x1 * x102 * x12 * x2 * x32 * x44 * x6 - x356 * x357
)
result[6, 1, 8] = (
1.0 * x314 * (x12 * x317 * x6 * x7 * x8 * x97 - x315 * x358 - x315 * x359)
)
result[6, 1, 9] = x110 * x307 * (x335 - x337)
result[6, 1, 10] = x304 * (
1.570796326794897 * x1 * x111 * x2 * x32 * x6 - x295 * x360
)
result[6, 1, 11] = x307 * x44 * (1.570796326794897 * x1 * x105 * x2 * x32 * x6 - x355)
result[6, 1, 12] = (
1.0 * x311 * (-x102 * x15 * x315 + x102 * x317 * x6 * x7 * x8 - x315 * x361)
)
result[6, 1, 13] = (
1.0 * x307 * (x325 * x6 * x7 * x8 * x97 - x349 * x362 - x363 * x364)
)
result[6, 1, 14] = x304 * x92 * (x338 - x339)
result[6, 2, 0] = x114 * x304 * (1.570796326794897 * x1 * x2 * x32 * x33 * x93 - x341)
result[6, 2, 1] = x307 * (
1.570796326794897 * x1 * x114 * x2 * x23 * x32 * x33 * x38 - x312 * x365
)
result[6, 2, 2] = (
1.0 * x307 * (x1 * x212 * x23 * x33 * x7 * x8 - x327 * x366 - x367 * x368)
)
result[6, 2, 3] = (
1.0
* x311
* (x1 * x114 * x20 * x32 * x49 * x7 * x8 - x298 * x369 * x49 - x369 * x370)
)
result[6, 2, 4] = (
1.0 * x314 * (x1 * x20 * x212 * x33 * x38 * x7 * x8 - x367 * x371 - x367 * x372)
)
result[6, 2, 5] = (
1.0 * x311 * (-x173 * x376 + x20 * x33 * x375 * x7 * x8 - x327 * x373)
)
result[6, 2, 6] = x307 * (
1.570796326794897 * x1 * x114 * x12 * x2 * x32 * x6 * x65 - x356 * x377
)
result[6, 2, 7] = (
1.0
* x314
* (x1 * x12 * x212 * x49 * x6 * x7 * x8 - x22 * x367 * x49 - x367 * x378)
)
result[6, 2, 8] = x135 * x314 * (-x127 * x336 + x334 * x375)
result[6, 2, 9] = x12 * x307 * (x380 - x381)
result[6, 2, 10] = x114 * x304 * (1.570796326794897 * x1 * x2 * x32 * x6 * x78 - x331)
result[6, 2, 11] = (
1.0 * x307 * (x1 * x212 * x6 * x65 * x7 * x8 - x15 * x367 * x65 - x363 * x382)
)
result[6, 2, 12] = (
1.0 * x311 * (-x240 * x376 - x363 * x383 + x375 * x49 * x6 * x7 * x8)
)
result[6, 2, 13] = x307 * x38 * (x380 - x381)
result[6, 2, 14] = -x304 * (
x142 * x336
- x334
* (x1 * (2.0 * x218 + 2.0 * x219 + x223 * x44 + x325 + 3.0 * x374) + x379 * x44)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x249
result[7, 0, 3] = 0
result[7, 0, 4] = x184 * x254
result[7, 0, 5] = x156 * x251
result[7, 0, 6] = 0
result[7, 0, 7] = x238 * x253 * x59
result[7, 0, 8] = x257
result[7, 0, 9] = x239 * x285
result[7, 0, 10] = 0
result[7, 0, 11] = x385
result[7, 0, 12] = x386 * x49
result[7, 0, 13] = x241 * x285
result[7, 0, 14] = x289
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x276 * x92
result[7, 1, 3] = 0
result[7, 1, 4] = x108 * x278 * x97
result[7, 1, 5] = x110 * x284
result[7, 1, 6] = 0
result[7, 1, 7] = x102 * x253 * x384
result[7, 1, 8] = x203 * x386
result[7, 1, 9] = x286 * x92
result[7, 1, 10] = 0
result[7, 1, 11] = 0
result[7, 1, 12] = 0
result[7, 1, 13] = 0
result[7, 1, 14] = 0
result[7, 2, 0] = x268
result[7, 2, 1] = x276 * x38
result[7, 2, 2] = x210 * x245 * x247
result[7, 2, 3] = x246 * x264
result[7, 2, 4] = x291
result[7, 2, 5] = x179 * x293
result[7, 2, 6] = x385
result[7, 2, 7] = x240 * x290
result[7, 2, 8] = x241 * x292
result[7, 2, 9] = x294
result[7, 2, 10] = 0
result[7, 2, 11] = 0
result[7, 2, 12] = 0
result[7, 2, 13] = 0
result[7, 2, 14] = 0
result[8, 0, 0] = x304 * (-x1 * x28 * x388 + x303 * x387)
result[8, 0, 1] = x307 * x38 * (x389 - x390)
result[8, 0, 2] = x307 * x44 * (x389 - x390)
result[8, 0, 3] = x311 * (
0.8660254037844386 * x301 * x32 * x49 * x7 * x8 - x310 * x391
)
result[8, 0, 4] = x314 * x392 * (-x150 + x313)
result[8, 0, 5] = x311 * x393 * (x316 - x318)
result[8, 0, 6] = x307 * (
0.8660254037844386 * x1 * x224 * x32 * x65 * x7 * x8 - x320 * x391
)
result[8, 0, 7] = x314 * (
0.8660254037844386 * x1 * x224 * x32 * x44 * x49 * x7 * x8 - x322 * x394
)
result[8, 0, 8] = x314 * (
0.8660254037844386 * x1 * x224 * x33 * x38 * x60 * x7 * x8 - x324 * x393
)
result[8, 0, 9] = x307 * (
0.8660254037844386 * x1 * x224 * x33 * x7 * x74 * x8 - x326 * x394
)
result[8, 0, 10] = x304 * x4 * (2.720699046351327 * x1 * x2 * x32 * x6 * x78 - x396)
result[8, 0, 11] = (
x307 * x4 * (2.720699046351327 * x1 * x2 * x32 * x44 * x6 * x65 - x332 * x395)
)
result[8, 0, 12] = x311 * (
0.8660254037844386 * x1 * x4 * x49 * x6 * x60 * x7 * x8 - x333 * x393
)
result[8, 0, 13] = 0
result[8, 0, 14] = 0
result[8, 1, 0] = x304 * x92 * (x397 - x398)
result[8, 1, 1] = x307 * x391 * (x342 - x343)
result[8, 1, 2] = x307 * x399 * (-x201 + x344)
result[8, 1, 3] = x311 * x391 * (x345 - x348)
result[8, 1, 4] = x314 * (x350 * x400 - 0.8660254037844386 * x351 * x68)
result[8, 1, 5] = x311 * x393 * (x352 - x353)
result[8, 1, 6] = x12 * x307 * (2.720699046351327 * x1 * x105 * x2 * x32 * x6 - x401)
result[8, 1, 7] = x314 * (
2.720699046351327 * x1 * x102 * x12 * x2 * x32 * x44 * x6 - x357 * x402
)
result[8, 1, 8] = x314 * x393 * (x358 - x359)
result[8, 1, 9] = 0
result[8, 1, 10] = x304 * (
2.720699046351327 * x1 * x111 * x2 * x32 * x6 - x360 * x387
)
result[8, 1, 11] = x307 * x44 * (2.720699046351327 * x1 * x105 * x2 * x32 * x6 - x401)
result[8, 1, 12] = x311 * (
0.8660254037844386 * x1 * x102 * x6 * x60 * x7 * x8 - x361 * x393
)
result[8, 1, 13] = x307 * (x362 * x400 - x364 * x403)
result[8, 1, 14] = 0
result[8, 2, 0] = x114 * x304 * (x397 - x398)
result[8, 2, 1] = x307 * x392 * (-x183 + x365)
result[8, 2, 2] = x307 * (x366 * x404 - x368 * x405)
result[8, 2, 3] = (
0.8660254037844386 * x311 * (x114 * x298 * x32 * x49 * x7 * x8 - x116 * x370)
)
result[8, 2, 4] = x314 * x405 * (x371 - x372)
result[8, 2, 5] = -x311 * (0.8660254037844386 * x127 * x173 - x373 * x404)
result[8, 2, 6] = x307 * (
2.720699046351327 * x1 * x114 * x12 * x2 * x32 * x6 * x65 - x377 * x402
)
result[8, 2, 7] = x314 * (
0.8660254037844386 * x1 * x118 * x12 * x49 * x6 * x7 * x8 - x378 * x405
)
result[8, 2, 8] = 0
result[8, 2, 9] = 0
result[8, 2, 10] = x114 * x304 * (2.720699046351327 * x1 * x2 * x32 * x6 * x78 - x396)
result[8, 2, 11] = x307 * (
0.8660254037844386 * x1 * x118 * x6 * x65 * x7 * x8 - x382 * x403
)
result[8, 2, 12] = x311 * (
0.8660254037844386 * x1 * x127 * x49 * x6 * x7 * x8 - x383 * x403
)
result[8, 2, 13] = 0
result[8, 2, 14] = 0
return result
[docs]
def multipole3d_sph_20(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (ds) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 6, 1), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = -x1 * (ax * A[0] + bx * B[0]) + A[0]
x3 = 0.5 * x1
x4 = ax * bx * x1
x5 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x4 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x6 = x1 * x5
x7 = 1.732050807568877
x8 = 0.3333333333333333 * x7
x9 = x6 * x8
x10 = -x1 * (ax * A[1] + bx * B[1]) + A[1]
x11 = 1.0 * x10
x12 = x2 * x5
x13 = x1 * x12
x14 = -x1 * (ax * A[2] + bx * B[2]) + A[2]
x15 = x0 ** (-2.0)
x16 = 0.5 * x15
x17 = -x12 * x16
x18 = x15 * x8
x19 = x18 * x5
x20 = x16 * x5
x21 = -x14 * x20
x22 = -x10 * x20
x23 = x5 / x0**3
x24 = 0.4330127018922193 * x23
x25 = x23 * x7
x26 = -0.08333333333333333 * x25
x27 = 0.1443375672974064 * x25
# 54 item(s)
result[0, 0, 0] = x9 * (x2**2 + x3)
result[0, 1, 0] = x11 * x13
result[0, 2, 0] = 1.0 * x13 * x14
result[0, 3, 0] = x9 * (x10**2 + x3)
result[0, 4, 0] = x11 * x14 * x6
result[0, 5, 0] = x9 * (x14**2 + x3)
result[1, 0, 0] = 0
result[1, 1, 0] = x17
result[1, 2, 0] = 0
result[1, 3, 0] = -x10 * x19
result[1, 4, 0] = x21
result[1, 5, 0] = 0
result[2, 0, 0] = 0
result[2, 1, 0] = 0
result[2, 2, 0] = x17
result[2, 3, 0] = 0
result[2, 4, 0] = x22
result[2, 5, 0] = -x14 * x19
result[3, 0, 0] = -x12 * x18
result[3, 1, 0] = x22
result[3, 2, 0] = x21
result[3, 3, 0] = 0
result[3, 4, 0] = 0
result[3, 5, 0] = 0
result[4, 0, 0] = 0
result[4, 1, 0] = x24
result[4, 2, 0] = 0
result[4, 3, 0] = 0
result[4, 4, 0] = 0
result[4, 5, 0] = 0
result[5, 0, 0] = 0
result[5, 1, 0] = 0
result[5, 2, 0] = 0
result[5, 3, 0] = 0
result[5, 4, 0] = x24
result[5, 5, 0] = 0
result[6, 0, 0] = x26
result[6, 1, 0] = 0
result[6, 2, 0] = 0
result[6, 3, 0] = x26
result[6, 4, 0] = 0
result[6, 5, 0] = 0.1666666666666667 * x25
result[7, 0, 0] = 0
result[7, 1, 0] = 0
result[7, 2, 0] = x24
result[7, 3, 0] = 0
result[7, 4, 0] = 0
result[7, 5, 0] = 0
result[8, 0, 0] = x27
result[8, 1, 0] = 0
result[8, 2, 0] = 0
result[8, 3, 0] = -x27
result[8, 4, 0] = 0
result[8, 5, 0] = 0
return result
[docs]
def multipole3d_sph_21(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (dp) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 6, 3), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -2.0 * x2 + A[0] + B[0]
x4 = x1 * x3
x5 = -x2
x6 = x5 + A[0]
x7 = x5 + B[0]
x8 = x6 * x7
x9 = 2.0 * x8
x10 = x1 + x9
x11 = ax * bx * x1
x12 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x11 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x13 = x1 * x12
x14 = 1.732050807568877
x15 = 0.1666666666666667 * x14
x16 = x13 * x15
x17 = x1 * (ax * A[1] + bx * B[1])
x18 = -x17
x19 = x18 + B[1]
x20 = 0.3333333333333333 * x19
x21 = 0.5 * x1
x22 = x21 + x6**2
x23 = x13 * x14
x24 = x22 * x23
x25 = x1 * (ax * A[2] + bx * B[2])
x26 = -x25
x27 = x26 + B[2]
x28 = 0.3333333333333333 * x27
x29 = x18 + A[1]
x30 = x21 + x8
x31 = 1.0 * x13
x32 = x30 * x31
x33 = x19 * x29
x34 = x21 + x33
x35 = x31 * x6
x36 = x26 + A[2]
x37 = x27 * x36
x38 = x21 + x37
x39 = x21 + x29**2
x40 = x23 * x39
x41 = 0.3333333333333333 * x7
x42 = -2.0 * x17 + A[1] + B[1]
x43 = x1 * x42
x44 = 2.0 * x33
x45 = x1 + x44
x46 = x31 * x36
x47 = x21 + x36**2
x48 = x23 * x47
x49 = -2.0 * x25 + A[2] + B[2]
x50 = x1 * x49
x51 = 2.0 * x37
x52 = x1 + x51
x53 = x0 ** (-2.0)
x54 = x12 * x53
x55 = x15 * x54
x56 = x22 * x55
x57 = 0.5 * x12
x58 = x53 * x57
x59 = x30 * x58
x60 = x58 * x6
x61 = x14 * x54
x62 = x29 * x61
x63 = 1.5 * x1
x64 = x36 * x58
x65 = x38 * x58
x66 = x47 * x55
x67 = x39 * x55
x68 = x29 * x58
x69 = x34 * x58
x70 = x36 * x61
x71 = x6 * x61
x72 = x0 ** (-3.0)
x73 = x12 * x72
x74 = x14 * x73
x75 = 0.2886751345948129 * x74
x76 = -x6 * x75
x77 = 0.4330127018922193 * x73
x78 = -x3 * x77
x79 = -x42 * x77
x80 = x36 * x77
x81 = -x80
x82 = -x29 * x75
x83 = x6 * x77
x84 = -x83
x85 = -x49 * x77
x86 = -x36 * x75
x87 = 3.0 * x1
x88 = x10 * x6 - 2.0 * x4 - x6 * (x87 + x9)
x89 = 0.04166666666666666 * x61
x90 = 0.08333333333333333 * x74
x91 = x27 * x90
x92 = 0.25 * x73
x93 = x36 * x92
x94 = x57 * x72
x95 = x29 * x45 - x29 * (x44 + x87) - 2.0 * x43
x96 = x15 * x73
x97 = -x29 * x77
x98 = 0.07216878364870322 * x61
x99 = 0.1443375672974064 * x74
x100 = x27 * x99
# 162 item(s)
result[0, 0, 0] = -x16 * (x10 * x6 + x4)
result[0, 0, 1] = -x20 * x24
result[0, 0, 2] = -x24 * x28
result[0, 1, 0] = -x29 * x32
result[0, 1, 1] = -x34 * x35
result[0, 1, 2] = -x27 * x29 * x35
result[0, 2, 0] = -x32 * x36
result[0, 2, 1] = -x19 * x35 * x36
result[0, 2, 2] = -x35 * x38
result[0, 3, 0] = -x40 * x41
result[0, 3, 1] = -x16 * (x29 * x45 + x43)
result[0, 3, 2] = -x28 * x40
result[0, 4, 0] = -x29 * x46 * x7
result[0, 4, 1] = -x34 * x46
result[0, 4, 2] = -x29 * x31 * x38
result[0, 5, 0] = -x41 * x48
result[0, 5, 1] = -x20 * x48
result[0, 5, 2] = -x16 * (x36 * x52 + x50)
result[1, 0, 0] = 0
result[1, 0, 1] = x56
result[1, 0, 2] = 0
result[1, 1, 0] = x59
result[1, 1, 1] = x42 * x60
result[1, 1, 2] = x27 * x60
result[1, 2, 0] = 0
result[1, 2, 1] = x36 * x60
result[1, 2, 2] = 0
result[1, 3, 0] = x41 * x62
result[1, 3, 1] = x55 * (x29 * x42 + x33 + x63)
result[1, 3, 2] = x28 * x62
result[1, 4, 0] = x64 * x7
result[1, 4, 1] = x42 * x64
result[1, 4, 2] = x65
result[1, 5, 0] = 0
result[1, 5, 1] = x66
result[1, 5, 2] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x56
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x29 * x60
result[2, 2, 0] = x59
result[2, 2, 1] = x19 * x60
result[2, 2, 2] = x49 * x60
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x67
result[2, 4, 0] = x68 * x7
result[2, 4, 1] = x69
result[2, 4, 2] = x49 * x68
result[2, 5, 0] = x41 * x70
result[2, 5, 1] = x20 * x70
result[2, 5, 2] = x55 * (x36 * x49 + x37 + x63)
result[3, 0, 0] = x55 * (x3 * x6 + x63 + x8)
result[3, 0, 1] = x20 * x71
result[3, 0, 2] = x28 * x71
result[3, 1, 0] = x3 * x68
result[3, 1, 1] = x69
result[3, 1, 2] = x27 * x68
result[3, 2, 0] = x3 * x64
result[3, 2, 1] = x19 * x64
result[3, 2, 2] = x65
result[3, 3, 0] = x67
result[3, 3, 1] = 0
result[3, 3, 2] = 0
result[3, 4, 0] = x29 * x64
result[3, 4, 1] = 0
result[3, 4, 2] = 0
result[3, 5, 0] = x66
result[3, 5, 1] = 0
result[3, 5, 2] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x76
result[4, 0, 2] = 0
result[4, 1, 0] = x78
result[4, 1, 1] = x79
result[4, 1, 2] = -x27 * x77
result[4, 2, 0] = 0
result[4, 2, 1] = x81
result[4, 2, 2] = 0
result[4, 3, 0] = x82
result[4, 3, 1] = 0
result[4, 3, 2] = 0
result[4, 4, 0] = x81
result[4, 4, 1] = 0
result[4, 4, 2] = 0
result[4, 5, 0] = 0
result[4, 5, 1] = 0
result[4, 5, 2] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x84
result[5, 2, 0] = 0
result[5, 2, 1] = x84
result[5, 2, 2] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x82
result[5, 4, 0] = -x7 * x77
result[5, 4, 1] = x79
result[5, 4, 2] = x85
result[5, 5, 0] = 0
result[5, 5, 1] = x86
result[5, 5, 2] = 0
result[6, 0, 0] = -x88 * x89
result[6, 0, 1] = x19 * x90
result[6, 0, 2] = x91
result[6, 1, 0] = x29 * x92
result[6, 1, 1] = x6 * x92
result[6, 1, 2] = 0
result[6, 2, 0] = x93
result[6, 2, 1] = 0
result[6, 2, 2] = -x6 * x94
result[6, 3, 0] = x7 * x90
result[6, 3, 1] = -x89 * x95
result[6, 3, 2] = x91
result[6, 4, 0] = 0
result[6, 4, 1] = x93
result[6, 4, 2] = -x29 * x94
result[6, 5, 0] = -x7 * x96
result[6, 5, 1] = -x19 * x96
result[6, 5, 2] = (
-0.08333333333333333 * x61 * (-x36 * x52 + x36 * (x51 + x87) + 2.0 * x50)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x76
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x97
result[7, 2, 0] = x78
result[7, 2, 1] = -x19 * x77
result[7, 2, 2] = x85
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = 0
result[7, 4, 0] = x97
result[7, 4, 1] = 0
result[7, 4, 2] = 0
result[7, 5, 0] = x86
result[7, 5, 1] = 0
result[7, 5, 2] = 0
result[8, 0, 0] = x88 * x98
result[8, 0, 1] = -x19 * x99
result[8, 0, 2] = -x100
result[8, 1, 0] = x97
result[8, 1, 1] = x83
result[8, 1, 2] = 0
result[8, 2, 0] = x81
result[8, 2, 1] = 0
result[8, 2, 2] = 0
result[8, 3, 0] = x7 * x99
result[8, 3, 1] = -x95 * x98
result[8, 3, 2] = x100
result[8, 4, 0] = 0
result[8, 4, 1] = x80
result[8, 4, 2] = 0
result[8, 5, 0] = 0
result[8, 5, 1] = 0
result[8, 5, 2] = 0
return result
[docs]
def multipole3d_sph_22(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (dd) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 6, 6), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -x2
x4 = x3 + A[0]
x5 = x3 + B[0]
x6 = x4 * x5
x7 = x5**2
x8 = 2.0 * x7
x9 = 3.0 * x1
x10 = x8 + x9
x11 = x1 * (x10 + 4.0 * x6)
x12 = -2.0 * x2 + A[0] + B[0]
x13 = x1 * x12
x14 = 2.0 * x6
x15 = x1 + x14
x16 = x15 * x5
x17 = x13 + x16
x18 = x17 * x4
x19 = ax * bx * x1
x20 = (
5.568327996831708
* da
* db
* numpy.exp(-x19 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x21 = numpy.sqrt(x1) * x20
x22 = 0.08333333333333333 * x21
x23 = x1 * x22
x24 = x1 * (ax * A[1] + bx * B[1])
x25 = -x24
x26 = x25 + B[1]
x27 = 1.732050807568877
x28 = x15 * x4
x29 = x27 * (x13 + x28)
x30 = 0.1666666666666667 * x21
x31 = x1 * x30
x32 = x29 * x31
x33 = x1 * (ax * A[2] + bx * B[2])
x34 = -x33
x35 = x34 + B[2]
x36 = x26**2
x37 = 0.5 * x1
x38 = x36 + x37
x39 = x1**1.5 * x20
x40 = x4**2
x41 = x37 + x40
x42 = 0.3333333333333333 * x41
x43 = x39 * x42
x44 = x21 * x35
x45 = x1 * x27
x46 = x44 * x45
x47 = x35**2
x48 = x37 + x47
x49 = x25 + A[1]
x50 = x1 * x49
x51 = x27 * x30
x52 = x17 * x51
x53 = x37 + x6
x54 = x39 * x53
x55 = x26 * x49
x56 = x37 + x55
x57 = 1.0 * x56
x58 = 1.0 * x53
x59 = -2.0 * x24 + A[1] + B[1]
x60 = x1 * x59
x61 = 2.0 * x55
x62 = x1 + x61
x63 = x26 * x62
x64 = x60 + x63
x65 = x1 * x4
x66 = x51 * x65
x67 = x27 * x4
x68 = 0.3333333333333333 * x21
x69 = x50 * x68
x70 = x34 + A[2]
x71 = x1 * x70
x72 = x21 * x26
x73 = x35 * x70
x74 = x37 + x73
x75 = 1.0 * x74
x76 = x38 * x4
x77 = -2.0 * x33 + A[2] + B[2]
x78 = x1 * x77
x79 = 2.0 * x73
x80 = x1 + x79
x81 = x35 * x80
x82 = x78 + x81
x83 = x37 + x7
x84 = x49**2
x85 = x37 + x84
x86 = 0.3333333333333333 * x39
x87 = x85 * x86
x88 = x49 * x62
x89 = x60 + x88
x90 = x27 * x31
x91 = x89 * x90
x92 = 2.0 * x36
x93 = x9 + x92
x94 = x1 * (4.0 * x55 + x93)
x95 = x49 * x64
x96 = x21 * x5
x97 = x39 * x74
x98 = x70**2
x99 = x37 + x98
x100 = x86 * x99
x101 = 0.3333333333333333 * x99
x102 = x70 * x80 + x78
x103 = x102 * x90
x104 = 2.0 * x47
x105 = x104 + x9
x106 = x1 * (x105 + 4.0 * x73)
x107 = x70 * x82
x108 = x0 ** (-2.0)
x109 = x108 * x22
x110 = -x109 * x29
x111 = x108 * x21
x112 = x111 * x26
x113 = 0.1666666666666667 * x111
x114 = x113 * x27
x115 = x114 * x35
x116 = x109 * x27
x117 = -x116 * x17
x118 = 0.5 * x60
x119 = x111 * x53
x120 = 0.5 * x119
x121 = x26 * x59
x122 = 1.5 * x1
x123 = x122 + x55
x124 = x121 + x123
x125 = x114 * x4
x126 = 0.5 * x111
x127 = x35 * x4
x128 = 0.5 * x70
x129 = 0.3333333333333333 * x112
x130 = x126 * x74
x131 = 0.3333333333333333 * x111
x132 = x49 * x83
x133 = x123 + x49 * x59
x134 = x114 * x5
x135 = x35 * x49
x136 = x131 * x135
x137 = x61 + x9
x138 = 2.0 * x1
x139 = x131 * x48
x140 = x114 * x70
x141 = x111 * x128
x142 = -x116 * x82
x143 = x5 * x99
x144 = -x102 * x116
x145 = x114 * x26
x146 = x111 * x35
x147 = x126 * x56
x148 = 0.5 * x112
x149 = 0.5 * x78
x150 = x35 * x77
x151 = x122 + x73
x152 = x150 + x151
x153 = -x116 * x89
x154 = x131 * x85
x155 = x49 * x5
x156 = -x116 * x64
x157 = x39 * x56
x158 = x114 * x49
x159 = x131 * x70
x160 = x5 * x70
x161 = x129 * x27
x162 = x151 + x70 * x77
x163 = x79 + x9
x164 = x12 * x5
x165 = x14 + x9
x166 = x122 + x6
x167 = x27 * (x12 * x4 + x166)
x168 = x113 * x167
x169 = x164 + x166
x170 = 0.5 * x13
x171 = x0 ** (-3.0)
x172 = x171 * x21
x173 = 0.1443375672974064 * x172
x174 = x167 * x173
x175 = 0.5773502691896257 * x172
x176 = x175 * x26
x177 = x172 * x27
x178 = 0.2886751345948129 * x177
x179 = x127 * x178
x180 = x173 * x27
x181 = x169 * x180
x182 = x108 * x39
x183 = 0.4330127018922193 * x182 * x59
x184 = 0.4330127018922193 * x172
x185 = x184 * x35
x186 = x124 * x180
x187 = x184 * x70
x188 = x178 * x26 * x70
x189 = x184 * x74
x190 = x175 * x49
x191 = x133 * x180
x192 = x135 * x178
x193 = x160 * x178
x194 = x184 * x53
x195 = x184 * x4
x196 = x26 * x4
x197 = x178 * x196
x198 = x155 * x178
x199 = x184 * x5
x200 = x152 * x180
x201 = x162 * x180
x202 = 15.0 * x1
x203 = 4.0 * x164 + x202 + 8.0 * x6 + x8
x204 = x165 * x5
x205 = x12 * x9 + x204
x206 = 0.1666666666666667 * x111
x207 = 2.0 * x13
x208 = x165 * x4 + x207 - x28
x209 = 0.04166666666666666 * x27
x210 = x208 * x209
x211 = 2.0 * x40
x212 = x1 + x211
x213 = x212 * x93
x214 = x1 + x92
x215 = x211 + x9
x216 = x214 * x215
x217 = 0.5 * x212
x218 = x1 * x39
x219 = 0.08333333333333333 * x218
x220 = x26 * x35
x221 = x171 * x22 * x27
x222 = x1 + x104
x223 = 0.25 * x222
x224 = -x16 + x204 + x207
x225 = x111 * x209
x226 = x224 * x225
x227 = x137 * x15
x228 = x165 * x62
x229 = 0.5 * x15
x230 = 0.25 * x218
x231 = 0.25 * x172
x232 = x137 * x26
x233 = 2.0 * x60
x234 = x232 + x233 - x63
x235 = x225 * x234
x236 = 0.1666666666666667 * x177
x237 = x231 * x70
x238 = 0.25 * x80
x239 = x221 * x70
x240 = 0.5 * x172
x241 = x163 * x35
x242 = 2.0 * x78
x243 = x116 * (-x241 - x242 + x35 * x80)
x244 = 2.0 * x84
x245 = x1 + x244
x246 = x10 * x245
x247 = x1 + x8
x248 = x244 + x9
x249 = x247 * x248
x250 = 0.5 * x245
x251 = x137 * x49 + x233 - x88
x252 = x251 * x5
x253 = x35 * x5
x254 = 4.0 * x121 + x202 + 8.0 * x55 + x92
x255 = x232 + x59 * x9
x256 = x146 * x251
x257 = 2.0 * x98
x258 = x1 + x257
x259 = 0.25 * x258
x260 = 0.5 * x257 + 0.5 * x9
x261 = x116 * (-x163 * x70 - x242 + x70 * x80)
x262 = x12 * x184
x263 = x184 * x56
x264 = x184 * x77
x265 = 0.07216878364870322 * x27
x266 = -x208 * x265
x267 = 0.03608439182435161 * x218
x268 = 0.07216878364870322 * x182
x269 = x222 * x268
x270 = x111 * x265
x271 = -x224 * x270
x272 = x234 * x270
x273 = 0.2165063509461096 * x182 * x80
x274 = x180 * x70
x275 = x258 * x268
# 324 item(s)
result[0, 0, 0] = x23 * (x11 + 2.0 * x18)
result[0, 0, 1] = x26 * x32
result[0, 0, 2] = x32 * x35
result[0, 0, 3] = x38 * x43
result[0, 0, 4] = x26 * x42 * x46
result[0, 0, 5] = x43 * x48
result[0, 1, 0] = x50 * x52
result[0, 1, 1] = x54 * x57
result[0, 1, 2] = x44 * x50 * x58
result[0, 1, 3] = x64 * x66
result[0, 1, 4] = x44 * x57 * x65
result[0, 1, 5] = x48 * x67 * x69
result[0, 2, 0] = x52 * x71
result[0, 2, 1] = x58 * x71 * x72
result[0, 2, 2] = x54 * x75
result[0, 2, 3] = x27 * x68 * x71 * x76
result[0, 2, 4] = x65 * x72 * x75
result[0, 2, 5] = x66 * x82
result[0, 3, 0] = x83 * x87
result[0, 3, 1] = x5 * x91
result[0, 3, 2] = 0.3333333333333333 * x46 * x5 * x85
result[0, 3, 3] = x23 * (x94 + 2.0 * x95)
result[0, 3, 4] = x35 * x91
result[0, 3, 5] = x48 * x87
result[0, 4, 0] = x27 * x69 * x70 * x83
result[0, 4, 1] = x57 * x71 * x96
result[0, 4, 2] = x50 * x75 * x96
result[0, 4, 3] = x51 * x64 * x71
result[0, 4, 4] = x57 * x97
result[0, 4, 5] = x50 * x51 * x82
result[0, 5, 0] = x100 * x83
result[0, 5, 1] = x101 * x45 * x5 * x72
result[0, 5, 2] = x103 * x5
result[0, 5, 3] = x100 * x38
result[0, 5, 4] = x103 * x26
result[0, 5, 5] = x23 * (x106 + 2.0 * x107)
result[1, 0, 0] = 0
result[1, 0, 1] = x110
result[1, 0, 2] = 0
result[1, 0, 3] = -x112 * x42
result[1, 0, 4] = -x115 * x41
result[1, 0, 5] = 0
result[1, 1, 0] = x117
result[1, 1, 1] = -x118 * x54
result[1, 1, 2] = -x120 * x35
result[1, 1, 3] = -x124 * x125
result[1, 1, 4] = -x126 * x127 * x59
result[1, 1, 5] = -x125 * x48
result[1, 2, 0] = 0
result[1, 2, 1] = -x119 * x128
result[1, 2, 2] = 0
result[1, 2, 3] = -x129 * x67 * x70
result[1, 2, 4] = -x130 * x4
result[1, 2, 5] = 0
result[1, 3, 0] = -x131 * x132
result[1, 3, 1] = -x133 * x134
result[1, 3, 2] = -x136 * x27 * x5
result[1, 3, 3] = (
-0.5
* x113
* (
2.0 * x138 * x26
+ 2.0 * x37 * x59
+ x49 * (2.0 * x121 + x137)
+ 2.0 * x50
+ x63
)
)
result[1, 3, 4] = -x115 * x133
result[1, 3, 5] = -x139 * x49
result[1, 4, 0] = -x140 * x83
result[1, 4, 1] = -x141 * x5 * x59
result[1, 4, 2] = -x130 * x5
result[1, 4, 3] = -x124 * x140
result[1, 4, 4] = -x118 * x97
result[1, 4, 5] = x142
result[1, 5, 0] = 0
result[1, 5, 1] = -x114 * x143
result[1, 5, 2] = 0
result[1, 5, 3] = -x101 * x112
result[1, 5, 4] = x144
result[1, 5, 5] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x110
result[2, 0, 3] = 0
result[2, 0, 4] = -x145 * x41
result[2, 0, 5] = -x146 * x42
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = -x120 * x49
result[2, 1, 3] = 0
result[2, 1, 4] = -x147 * x4
result[2, 1, 5] = -x136 * x67
result[2, 2, 0] = x117
result[2, 2, 1] = -x148 * x53
result[2, 2, 2] = -x149 * x54
result[2, 2, 3] = -x114 * x76
result[2, 2, 4] = -x148 * x4 * x77
result[2, 2, 5] = -x125 * x152
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = -x134 * x85
result[2, 3, 3] = 0
result[2, 3, 4] = x153
result[2, 3, 5] = -x154 * x35
result[2, 4, 0] = -x114 * x132
result[2, 4, 1] = -x147 * x5
result[2, 4, 2] = -x126 * x155 * x77
result[2, 4, 3] = x156
result[2, 4, 4] = -x149 * x157
result[2, 4, 5] = -x152 * x158
result[2, 5, 0] = -x159 * x83
result[2, 5, 1] = -x160 * x161
result[2, 5, 2] = -x134 * x162
result[2, 5, 3] = -x159 * x38
result[2, 5, 4] = -x145 * x162
result[2, 5, 5] = (
-0.5
* x113
* (
2.0 * x138 * x35
+ 2.0 * x37 * x77
+ x70 * (2.0 * x150 + x163)
+ 2.0 * x71
+ x81
)
)
result[3, 0, 0] = (
-0.5 * x113 * (x13 + 2.0 * x138 * x5 + x16 + x4 * (2.0 * x164 + x165) + 2.0 * x65)
)
result[3, 0, 1] = -x168 * x26
result[3, 0, 2] = -x168 * x35
result[3, 0, 3] = -x131 * x76
result[3, 0, 4] = -x127 * x161
result[3, 0, 5] = -x139 * x4
result[3, 1, 0] = -x158 * x169
result[3, 1, 1] = -x157 * x170
result[3, 1, 2] = -x12 * x126 * x135
result[3, 1, 3] = x156
result[3, 1, 4] = -x147 * x35
result[3, 1, 5] = -x158 * x48
result[3, 2, 0] = -x140 * x169
result[3, 2, 1] = -x112 * x12 * x128
result[3, 2, 2] = -x170 * x97
result[3, 2, 3] = -x140 * x38
result[3, 2, 4] = -x148 * x74
result[3, 2, 5] = x142
result[3, 3, 0] = -x154 * x5
result[3, 3, 1] = x153
result[3, 3, 2] = -x115 * x85
result[3, 3, 3] = 0
result[3, 3, 4] = 0
result[3, 3, 5] = 0
result[3, 4, 0] = -x155 * x159 * x27
result[3, 4, 1] = -x141 * x56
result[3, 4, 2] = -x130 * x49
result[3, 4, 3] = 0
result[3, 4, 4] = 0
result[3, 4, 5] = 0
result[3, 5, 0] = -x131 * x143
result[3, 5, 1] = -x145 * x99
result[3, 5, 2] = x144
result[3, 5, 3] = 0
result[3, 5, 4] = 0
result[3, 5, 5] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x174
result[4, 0, 2] = 0
result[4, 0, 3] = x176 * x4
result[4, 0, 4] = x179
result[4, 0, 5] = 0
result[4, 1, 0] = x181
result[4, 1, 1] = x12 * x183
result[4, 1, 2] = x12 * x185
result[4, 1, 3] = x186
result[4, 1, 4] = x185 * x59
result[4, 1, 5] = x180 * x48
result[4, 2, 0] = 0
result[4, 2, 1] = x12 * x187
result[4, 2, 2] = 0
result[4, 2, 3] = x188
result[4, 2, 4] = x189
result[4, 2, 5] = 0
result[4, 3, 0] = x190 * x5
result[4, 3, 1] = x191
result[4, 3, 2] = x192
result[4, 3, 3] = 0
result[4, 3, 4] = 0
result[4, 3, 5] = 0
result[4, 4, 0] = x193
result[4, 4, 1] = x187 * x59
result[4, 4, 2] = x189
result[4, 4, 3] = 0
result[4, 4, 4] = 0
result[4, 4, 5] = 0
result[4, 5, 0] = 0
result[4, 5, 1] = x180 * x99
result[4, 5, 2] = 0
result[4, 5, 3] = 0
result[4, 5, 4] = 0
result[4, 5, 5] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x180 * x41
result[5, 0, 5] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x194
result[5, 1, 3] = 0
result[5, 1, 4] = x195 * x59
result[5, 1, 5] = x179
result[5, 2, 0] = 0
result[5, 2, 1] = x194
result[5, 2, 2] = 0
result[5, 2, 3] = x197
result[5, 2, 4] = x195 * x77
result[5, 2, 5] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x198
result[5, 3, 3] = 0
result[5, 3, 4] = x191
result[5, 3, 5] = x190 * x35
result[5, 4, 0] = x180 * x83
result[5, 4, 1] = x199 * x59
result[5, 4, 2] = x199 * x77
result[5, 4, 3] = x186
result[5, 4, 4] = x183 * x77
result[5, 4, 5] = x200
result[5, 5, 0] = 0
result[5, 5, 1] = x193
result[5, 5, 2] = 0
result[5, 5, 3] = x176 * x70
result[5, 5, 4] = x201
result[5, 5, 5] = 0
result[6, 0, 0] = x206 * (
-0.125 * x1 * x203 + 0.125 * x11 + 0.25 * x18 - 0.25 * x205 * x4
)
result[6, 0, 1] = -x112 * x210
result[6, 0, 2] = -x146 * x210
result[6, 0, 3] = -x219 * (0.25 * x213 - x214 * x217 + 0.25 * x216)
result[6, 0, 4] = -x220 * x221
result[6, 0, 5] = x219 * (x105 * x217 - x212 * x223 - x215 * x223)
result[6, 1, 0] = -x226 * x49
result[6, 1, 1] = -x230 * (0.25 * x227 + 0.25 * x228 - x229 * x62)
result[6, 1, 2] = -x135 * x231
result[6, 1, 3] = -x235 * x4
result[6, 1, 4] = -x127 * x231
result[6, 1, 5] = x236 * x4 * x49
result[6, 2, 0] = -x226 * x70
result[6, 2, 1] = -x237 * x26
result[6, 2, 2] = x230 * (-x15 * x238 + x163 * x229 - x165 * x238)
result[6, 2, 3] = -x239 * x4
result[6, 2, 4] = x196 * x240
result[6, 2, 5] = -x243 * x4
result[6, 3, 0] = -x219 * (0.25 * x246 - x247 * x250 + 0.25 * x249)
result[6, 3, 1] = -x225 * x252
result[6, 3, 2] = -x221 * x253
result[6, 3, 3] = x206 * (
-0.125 * x1 * x254 - 0.25 * x255 * x49 + 0.125 * x94 + 0.25 * x95
)
result[6, 3, 4] = -x209 * x256
result[6, 3, 5] = x219 * (x105 * x250 - x223 * x245 - x223 * x248)
result[6, 4, 0] = -x239 * x49
result[6, 4, 1] = -x237 * x5
result[6, 4, 2] = x155 * x240
result[6, 4, 3] = -x235 * x70
result[6, 4, 4] = -x230 * (x137 * x238 - 0.5 * x163 * x62 + x238 * x62)
result[6, 4, 5] = -x243 * x49
result[6, 5, 0] = x219 * (-x10 * x259 - x247 * x259 + x247 * x260)
result[6, 5, 1] = x236 * x26 * x5
result[6, 5, 2] = -x261 * x5
result[6, 5, 3] = x219 * (-x214 * x259 + x214 * x260 - x259 * x93)
result[6, 5, 4] = -x26 * x261
result[6, 5, 5] = x206 * (
0.25 * x1 * (x104 + 4.0 * x150 + x202 + 8.0 * x73)
- 0.25 * x106
- 0.5 * x107
+ 0.5 * x70 * (x241 + x77 * x9)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x174
result[7, 0, 3] = 0
result[7, 0, 4] = x197
result[7, 0, 5] = x127 * x175
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x262 * x49
result[7, 1, 3] = 0
result[7, 1, 4] = x263
result[7, 1, 5] = x192
result[7, 2, 0] = x181
result[7, 2, 1] = x26 * x262
result[7, 2, 2] = 0.4330127018922193 * x12 * x182 * x77
result[7, 2, 3] = x180 * x38
result[7, 2, 4] = x26 * x264
result[7, 2, 5] = x200
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x180 * x85
result[7, 3, 3] = 0
result[7, 3, 4] = 0
result[7, 3, 5] = 0
result[7, 4, 0] = x198
result[7, 4, 1] = x263
result[7, 4, 2] = x264 * x49
result[7, 4, 3] = 0
result[7, 4, 4] = 0
result[7, 4, 5] = 0
result[7, 5, 0] = x160 * x175
result[7, 5, 1] = x188
result[7, 5, 2] = x201
result[7, 5, 3] = 0
result[7, 5, 4] = 0
result[7, 5, 5] = 0
result[8, 0, 0] = x206 * (
0.2165063509461096 * x1 * x203
- 0.2165063509461096 * x11
- 0.4330127018922193 * x18
+ 0.4330127018922193 * x205 * x4
)
result[8, 0, 1] = -x112 * x266
result[8, 0, 2] = -x146 * x266
result[8, 0, 3] = x267 * (-x213 + x216)
result[8, 0, 4] = x180 * x220
result[8, 0, 5] = x269
result[8, 1, 0] = -x271 * x49
result[8, 1, 1] = 0.1082531754730548 * x218 * (-x227 + x228)
result[8, 1, 2] = x185 * x49
result[8, 1, 3] = -x272 * x4
result[8, 1, 4] = -x185 * x4
result[8, 1, 5] = 0
result[8, 2, 0] = -x271 * x70
result[8, 2, 1] = x187 * x26
result[8, 2, 2] = x273
result[8, 2, 3] = -x274 * x4
result[8, 2, 4] = 0
result[8, 2, 5] = 0
result[8, 3, 0] = x267 * (x246 - x249)
result[8, 3, 1] = -x252 * x270
result[8, 3, 2] = -x180 * x253
result[8, 3, 3] = x206 * (
-0.2165063509461096 * x1 * x254
- 0.4330127018922193 * x255 * x49
+ 0.2165063509461096 * x94
+ 0.4330127018922193 * x95
)
result[8, 3, 4] = -x256 * x265
result[8, 3, 5] = -x269
result[8, 4, 0] = x274 * x49
result[8, 4, 1] = -x187 * x5
result[8, 4, 2] = 0
result[8, 4, 3] = -x272 * x70
result[8, 4, 4] = -x273
result[8, 4, 5] = 0
result[8, 5, 0] = x275
result[8, 5, 1] = 0
result[8, 5, 2] = 0
result[8, 5, 3] = -x275
result[8, 5, 4] = 0
result[8, 5, 5] = 0
return result
[docs]
def multipole3d_sph_23(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (df) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 6, 10), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -x2
x4 = x3 + B[0]
x5 = x3 + A[0]
x6 = x4 * x5
x7 = x4**2
x8 = 2.0 * x7
x9 = 3.0 * x1
x10 = x8 + x9
x11 = x1 * (x10 + 4.0 * x6)
x12 = -2.0 * x2 + A[0] + B[0]
x13 = x1 * x12
x14 = 2.0 * x6
x15 = x1 + x14
x16 = x15 * x4
x17 = x13 + x16
x18 = 2.0 * x17
x19 = x11 + x18 * x5
x20 = x19 * x4
x21 = x15 * x5
x22 = 2.0 * x13
x23 = x16 + x21 + x22
x24 = 2.0 * x1
x25 = ax * bx * x1
x26 = (
5.568327996831708
* da
* db
* numpy.exp(-x25 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x27 = numpy.sqrt(x1) * x26
x28 = x1 * x27
x29 = 2.23606797749979
x30 = 0.01666666666666667 * x29
x31 = x28 * x30
x32 = x1 * (ax * A[1] + bx * B[1])
x33 = -x32
x34 = x33 + B[1]
x35 = 0.08333333333333333 * x34
x36 = x19 * x27
x37 = x1 * x36
x38 = x1 * (ax * A[2] + bx * B[2])
x39 = -x38
x40 = x39 + B[2]
x41 = 0.08333333333333333 * x40
x42 = x34**2
x43 = 0.5 * x1
x44 = x42 + x43
x45 = x13 + x21
x46 = x1**1.5 * x26
x47 = 0.1666666666666667 * x46
x48 = x45 * x47
x49 = 1.732050807568877
x50 = 0.1666666666666667 * x34
x51 = x49 * x50
x52 = x28 * x51
x53 = x40**2
x54 = x43 + x53
x55 = x5**2
x56 = x43 + x55
x57 = 0.06666666666666667 * x29
x58 = x56 * x57
x59 = 1.5 * x1
x60 = x42 + x59
x61 = x34 * x46
x62 = x60 * x61
x63 = x44 * x56
x64 = x40 * x46
x65 = 0.3333333333333333 * x64
x66 = x54 * x56
x67 = 0.3333333333333333 * x61
x68 = x53 + x59
x69 = x64 * x68
x70 = x33 + A[1]
x71 = x1 * x70
x72 = 3.872983346207417
x73 = x72 * (x11 + x18 * x4)
x74 = 0.01666666666666667 * x27
x75 = x73 * x74
x76 = x34 * x70
x77 = x43 + x76
x78 = x47 * x49
x79 = x17 * x78
x80 = x17 * x27
x81 = 0.1666666666666667 * x40
x82 = x49 * x81
x83 = -2.0 * x32 + A[1] + B[1]
x84 = x1 * x83
x85 = 2.0 * x76
x86 = x1 + x85
x87 = x34 * x86
x88 = x84 + x87
x89 = x43 + x6
x90 = x78 * x89
x91 = 1.0 * x89
x92 = x54 * x70
x93 = x46 * x89
x94 = 0.3333333333333333 * x49
x95 = x93 * x94
x96 = 2.0 * x42
x97 = x9 + x96
x98 = x1 * (4.0 * x76 + x97)
x99 = 2.0 * x88
x100 = x34 * x99 + x98
x101 = x1 * x5
x102 = x72 * x74
x103 = x101 * x102
x104 = x101 * x27
x105 = x46 * x77
x106 = x5 * x94
x107 = x40 * x68
x108 = 0.06666666666666667 * x27 * x5 * x72
x109 = x39 + A[2]
x110 = x1 * x109
x111 = x109 * x40
x112 = x111 + x43
x113 = x109 * x44
x114 = x112 * x61
x115 = -2.0 * x38 + A[2] + B[2]
x116 = x1 * x115
x117 = 2.0 * x111
x118 = x1 + x117
x119 = x118 * x40
x120 = x116 + x119
x121 = x34 * x60
x122 = x112 * x46
x123 = x120 * x49
x124 = 2.0 * x53
x125 = x124 + x9
x126 = x1 * (4.0 * x111 + x125)
x127 = 2.0 * x120
x128 = x126 + x127 * x40
x129 = x70**2
x130 = x129 + x43
x131 = x130 * x57
x132 = x59 + x7
x133 = x4 * x46
x134 = x132 * x133
x135 = x43 + x7
x136 = x70 * x86
x137 = x136 + x84
x138 = x137 * x47
x139 = x130 * x135
x140 = x70 * x99 + x98
x141 = x140 * x28
x142 = 0.08333333333333333 * x4
x143 = x130 * x54
x144 = 0.3333333333333333 * x133
x145 = x140 * x34
x146 = 2.0 * x84
x147 = x136 + x146 + x87
x148 = x132 * x4
x149 = x109 * x148
x150 = x135 * x94
x151 = 0.1666666666666667 * x4
x152 = x151 * x27
x153 = x112 * x77
x154 = x112 * x78
x155 = x77 * x78
x156 = x109**2
x157 = x156 + x43
x158 = x157 * x57
x159 = x135 * x157
x160 = x109 * x118
x161 = x116 + x160
x162 = x161 * x47
x163 = x157 * x44
x164 = x109 * x127 + x126
x165 = x164 * x28
x166 = x164 * x40
x167 = 2.0 * x116
x168 = x119 + x160 + x167
x169 = x0 ** (-2.0)
x170 = 0.04166666666666666 * x169
x171 = x170 * x36
x172 = x169 * x27
x173 = x172 * x45
x174 = x41 * x49
x175 = 6.0 * x42 + x9
x176 = x1 * x46
x177 = x176 * x30
x178 = x175 * x177
x179 = 0.3333333333333333 * x172
x180 = x34 * x40
x181 = x179 * x180 * x56
x182 = x1 * x47
x183 = 0.008333333333333333 * x172
x184 = x183 * x73
x185 = 0.08333333333333333 * x49
x186 = x17 * x185
x187 = x46 * x84
x188 = x17 * x172
x189 = x34 * x83
x190 = x59 + x76
x191 = x189 + x190
x192 = x1 * x90
x193 = 0.5 * x40
x194 = x172 * x5
x195 = x85 + x9
x196 = 2.0 * x189 + x195
x197 = 0.5 * x34
x198 = x24 * x34 + x43 * x83 + x71 + 0.5 * x87
x199 = x196 * x197 + x198
x200 = 0.03333333333333333 * x72
x201 = x199 * x200
x202 = 0.1666666666666667 * x172
x203 = x49 * x5
x204 = x203 * x40
x205 = x5 * x54
x206 = x78 * x84
x207 = x194 * x200
x208 = x109 * x172
x209 = x89 * x94
x210 = x208 * x34
x211 = 0.5 * x1
x212 = x211 * x46
x213 = x212 * x89
x214 = x109 * x175
x215 = 0.01666666666666667 * x72
x216 = x194 * x215
x217 = x106 * x172
x218 = 0.08333333333333333 * x123
x219 = x172 * x29
x220 = 0.06666666666666667 * x219
x221 = x220 * x70
x222 = x190 + x70 * x83
x223 = x182 * x222
x224 = x179 * x40
x225 = x135 * x70
x226 = x196 * x70
x227 = x198 + 0.5 * x226
x228 = x202 * x227
x229 = x202 * x4
x230 = x229 * x49
x231 = x179 * x4
x232 = x70 * x88
x233 = 4.0 * x1
x234 = x226 + x233 * x34 + 2.0 * x71
x235 = 0.03333333333333333 * x219
x236 = x148 * x200
x237 = x109 * x135
x238 = x1 * x154
x239 = 0.5 * x133
x240 = x142 * x172
x241 = x183 * x72
x242 = x128 * x241
x243 = x157 * x231 * x34
x244 = x161 * x169
x245 = x244 * x27
x246 = x245 * x49
x247 = x170 * x27
x248 = x164 * x247
x249 = x35 * x49
x250 = 6.0 * x53 + x9
x251 = x177 * x250
x252 = x172 * x70
x253 = x252 * x40
x254 = x185 * x88
x255 = x250 * x70
x256 = x116 * x46
x257 = x115 * x40
x258 = x111 + x59
x259 = x257 + x258
x260 = x44 * x5
x261 = x116 * x78
x262 = x172 * x50
x263 = x117 + x9
x264 = 2.0 * x257 + x263
x265 = 0.5 * x40
x266 = x110 + x115 * x43 + 0.5 * x119 + x24 * x40
x267 = x264 * x265 + x266
x268 = x200 * x267
x269 = x240 * x49
x270 = x130 * x224 * x4
x271 = x140 * x247
x272 = x137 * x202
x273 = x1 * x155
x274 = x49 * x70
x275 = x100 * x241
x276 = x179 * x34
x277 = x109 * x115 + x258
x278 = x182 * x277
x279 = x262 * x49
x280 = x109 * x264
x281 = x266 + 0.5 * x280
x282 = x109 * x34
x283 = x109 * x120
x284 = 2.0 * x110 + x233 * x40 + x280
x285 = x14 + x9
x286 = x17 * x5
x287 = x12 * x4
x288 = x285 + 2.0 * x287
x289 = x288 * x5
x290 = 2.0 * x101 + x233 * x4 + x289
x291 = 0.5 * x4
x292 = x101 + 0.5 * x13 + 0.5 * x16 + x24 * x4
x293 = 0.5 * x27 * (x289 + 2.0 * x292)
x294 = x169 * x293
x295 = x59 + x6
x296 = x12 * x5 + x295
x297 = x182 * x296
x298 = x220 * x5
x299 = x72 * (x288 * x291 + x292)
x300 = 0.03333333333333333 * x299
x301 = x287 + x295
x302 = x40 * x70
x303 = x302 * x49
x304 = x13 * x46
x305 = x13 * x78
x306 = x172 * x174
x307 = 6.0 * x7 + x9
x308 = x177 * x307
x309 = x4 * x94
x310 = x0 ** (-3.0)
x311 = 0.1443375672974064 * x310
x312 = -x293 * x311
x313 = x296 * x34
x314 = x27 * x310
x315 = 0.2886751345948129 * x314
x316 = x27 * x311
x317 = x316 * x49
x318 = x317 * x40
x319 = 0.02886751345948129 * x314
x320 = x29 * x319
x321 = x175 * x5
x322 = 0.5773502691896257 * x314
x323 = -x180 * x322 * x5
x324 = x315 * x54
x325 = -x299 * x319
x326 = x169 * x83
x327 = x46 * x49
x328 = 0.1443375672974064 * x327
x329 = x326 * x328
x330 = x169 * x328
x331 = x12 * x330
x332 = 0.4330127018922193 * x169
x333 = x12 * x332
x334 = x319 * x72
x335 = -x199 * x334
x336 = x109 * x317
x337 = x315 * x34
x338 = x109 * x49
x339 = x314 * x72
x340 = 0.01443375672974064 * x339
x341 = x112 * x49
x342 = 0.07216878364870322 * x314
x343 = -x123 * x342
x344 = x320 * x70
x345 = x315 * x4
x346 = x322 * x4
x347 = -x302 * x346
x348 = -x227 * x316
x349 = x307 * x340
x350 = x332 * x83
x351 = x342 * x49
x352 = x315 * x40
x353 = -x17 * x351
x354 = x49 * x89
x355 = x317 * x5
x356 = x250 * x5
x357 = x115 * x332
x358 = x135 * x315
x359 = x317 * x4
x360 = x115 * x330
x361 = 0.4330127018922193 * x4
x362 = x115 * x46
x363 = -x267 * x334
x364 = -x282 * x346
x365 = -x281 * x316
x366 = 0.25 * x1
x367 = 15.0 * x1
x368 = 4.0 * x287 + x367 + 8.0 * x6 + x8
x369 = x1 * x368
x370 = x285 * x4
x371 = x12 * x9
x372 = x370 + x371
x373 = x372 * x5
x374 = x4 * (x369 + 2.0 * x373)
x375 = x285 * x5
x376 = 7.0 * x13 + x16 + x290 + x370 + x375
x377 = 0.03333333333333333 * x219
x378 = 0.125 * x11 - 0.125 * x369
x379 = 0.1666666666666667 * x172
x380 = x379 * (0.25 * x286 - 0.25 * x373 + x378)
x381 = x371 + x375
x382 = x1 + x96
x383 = 0.125 * x382
x384 = 0.125 * x97
x385 = 0.1666666666666667 * x176
x386 = x247 * x49
x387 = x15 * x5 - x22 - x375
x388 = x180 * x387
x389 = x1 + x124
x390 = 0.02083333333333333 * x176
x391 = 2.0 * x55
x392 = x1 + x391
x393 = 9.0 * x1
x394 = x393 + x96
x395 = x392 * x394
x396 = x391 + x9
x397 = x396 * x97
x398 = 0.01666666666666667 * x29
x399 = x176 * x398
x400 = x34 * x399
x401 = x392 * x97
x402 = 0.08333333333333333 * x176
x403 = x40 * x402
x404 = 0.25 * x389
x405 = x34 * x402
x406 = 0.25 * x125
x407 = x124 + x393
x408 = x176 * x40
x409 = x398 * x408
x410 = 0.25 * x4
x411 = 0.03333333333333333 * x72
x412 = x411 * (x17 * x410 - x372 * x410 + x378)
x413 = x372 * x86
x414 = x385 * x49
x415 = x15 * x4 - x22 - x370
x416 = x195 * x34
x417 = x83 * x9
x418 = x416 + x417
x419 = x15 * x418
x420 = x15 * x195
x421 = 0.25 * x176
x422 = 0.02083333333333333 * x327
x423 = 0.25 * x418
x424 = x1 * (4.0 * x189 + x367 + 8.0 * x76 + x96)
x425 = -0.125 * x424 + 0.125 * x98
x426 = -x34 * x423 + 0.25 * x34 * x88 + x425
x427 = x194 * x411
x428 = -x146 + x34 * x86 - x416
x429 = x247 * x428
x430 = x339 * x5
x431 = 0.125 * x118
x432 = 0.25 * x382
x433 = 0.25 * x15
x434 = 0.08333333333333333 * x327
x435 = x110 * x434
x436 = 0.25 * x118
x437 = 0.125 * x120
x438 = x263 * x40
x439 = x115 * x9
x440 = x438 + x439
x441 = x282 * x430
x442 = x118 * x40 - x167 - x438
x443 = 8.0 * x111 + x124 + 4.0 * x257 + x367
x444 = -0.25 * x1 * x443 + 0.25 * x126
x445 = -x120 * x193 + 0.5 * x40 * x440 - x444
x446 = 2.0 * x129
x447 = x1 + x446
x448 = x393 + x8
x449 = x447 * x448
x450 = x446 + x9
x451 = x10 * x450
x452 = x399 * x4
x453 = x195 * x70
x454 = x417 + x453
x455 = x1 + x8
x456 = 0.125 * x455
x457 = 0.125 * x10
x458 = x10 * x447
x459 = x450 * x455
x460 = x379 * (0.25 * x232 - x423 * x70 + x425)
x461 = -x146 - x453 + x70 * x86
x462 = x4 * x40 * x461
x463 = x4 * x402
x464 = x418 * x70
x465 = x34 * (x424 + 2.0 * x464)
x466 = x234 + x416 + x453 + 7.0 * x84 + x87
x467 = x109 * x339 * x4 * x70
x468 = 0.25 * x455
x469 = x208 * x411
x470 = x252 * x411
x471 = 2.0 * x156
x472 = x1 + x471
x473 = 0.25 * x472
x474 = x10 * x473
x475 = x471 + x9
x476 = x109 * x263
x477 = x439 + x476
x478 = x473 * x97
x479 = -x379 * (-0.5 * x109 * x440 + 0.5 * x283 + x444)
x480 = x315 * x44
x481 = x301 * x317
x482 = -x351 * x88
x483 = x49 * x77
x484 = 0.4330127018922193 * x34
x485 = x259 * x317
x486 = 0.4330127018922193 * x1
x487 = -0.2165063509461096 * x1 * x368 + 0.2165063509461096 * x11
x488 = -x379 * (0.4330127018922193 * x286 - 0.4330127018922193 * x372 * x5 + x487)
x489 = 0.07216878364870322 * x49
x490 = x172 * x489
x491 = 0.03608439182435161 * x176
x492 = x389 * x491
x493 = 0.007216878364870322 * x176 * x29
x494 = x40 * x491
x495 = 0.07216878364870322 * x46
x496 = x169 * x495
x497 = x389 * x496
x498 = 0.01443375672974065 * x125 * x169 * x29 * x64
x499 = -x17 * x361 + 0.4330127018922193 * x372 * x4 - x487
x500 = x49 * x491
x501 = x415 * x489
x502 = x49 * x497
x503 = -0.2165063509461096 * x424 + 0.2165063509461096 * x98
x504 = -x418 * x484 + x484 * x88 + x503
x505 = x428 * x489
x506 = x118 * x500
x507 = x169 * x61
x508 = 0.2165063509461096 * x118
x509 = x123 * x496
x510 = x118 * x496
x511 = x379 * (0.4330127018922193 * x232 - 0.4330127018922193 * x464 + x503)
x512 = x133 * x169
x513 = 0.04330127018922193 * x29 * x472
x514 = x472 * x496
x515 = x244 * x495
# 540 item(s)
result[0, 0, 0] = -x31 * (x20 + x23 * x24)
result[0, 0, 1] = -x35 * x37
result[0, 0, 2] = -x37 * x41
result[0, 0, 3] = -x44 * x48
result[0, 0, 4] = -x40 * x45 * x52
result[0, 0, 5] = -x48 * x54
result[0, 0, 6] = -x58 * x62
result[0, 0, 7] = -x63 * x65
result[0, 0, 8] = -x66 * x67
result[0, 0, 9] = -x58 * x69
result[0, 1, 0] = -x71 * x75
result[0, 1, 1] = -x77 * x79
result[0, 1, 2] = -x71 * x80 * x82
result[0, 1, 3] = -x88 * x90
result[0, 1, 4] = -x64 * x77 * x91
result[0, 1, 5] = -x92 * x95
result[0, 1, 6] = -x100 * x103
result[0, 1, 7] = -x104 * x82 * x88
result[0, 1, 8] = -x105 * x106 * x54
result[0, 1, 9] = -x107 * x108 * x71
result[0, 2, 0] = -x110 * x75
result[0, 2, 1] = -x110 * x51 * x80
result[0, 2, 2] = -x112 * x79
result[0, 2, 3] = -x113 * x95
result[0, 2, 4] = -x114 * x91
result[0, 2, 5] = -x120 * x90
result[0, 2, 6] = -x108 * x110 * x121
result[0, 2, 7] = -x106 * x122 * x44
result[0, 2, 8] = -x104 * x123 * x50
result[0, 2, 9] = -x103 * x128
result[0, 3, 0] = -x131 * x134
result[0, 3, 1] = -x135 * x138
result[0, 3, 2] = -x139 * x65
result[0, 3, 3] = -x141 * x142
result[0, 3, 4] = -x137 * x28 * x4 * x82
result[0, 3, 5] = -x143 * x144
result[0, 3, 6] = -x31 * (x145 + x147 * x24)
result[0, 3, 7] = -x141 * x41
result[0, 3, 8] = -x138 * x54
result[0, 3, 9] = -x131 * x69
result[0, 4, 0] = -0.06666666666666667 * x149 * x27 * x71 * x72
result[0, 4, 1] = -x105 * x109 * x150
result[0, 4, 2] = -x122 * x150 * x70
result[0, 4, 3] = -x110 * x152 * x49 * x88
result[0, 4, 4] = -1.0 * x133 * x153
result[0, 4, 5] = -x123 * x152 * x71
result[0, 4, 6] = -x100 * x102 * x110
result[0, 4, 7] = -x154 * x88
result[0, 4, 8] = -x120 * x155
result[0, 4, 9] = -x102 * x128 * x71
result[0, 5, 0] = -x134 * x158
result[0, 5, 1] = -x159 * x67
result[0, 5, 2] = -x135 * x162
result[0, 5, 3] = -x144 * x163
result[0, 5, 4] = -x161 * x4 * x52
result[0, 5, 5] = -x142 * x165
result[0, 5, 6] = -x158 * x62
result[0, 5, 7] = -x162 * x44
result[0, 5, 8] = -x165 * x35
result[0, 5, 9] = -x31 * (x166 + x168 * x24)
result[1, 0, 0] = 0
result[1, 0, 1] = x171
result[1, 0, 2] = 0
result[1, 0, 3] = x173 * x50
result[1, 0, 4] = x173 * x174
result[1, 0, 5] = 0
result[1, 0, 6] = x178 * x56
result[1, 0, 7] = x181
result[1, 0, 8] = x182 * x66
result[1, 0, 9] = 0
result[1, 1, 0] = x184
result[1, 1, 1] = x186 * x187
result[1, 1, 2] = x174 * x188
result[1, 1, 3] = x191 * x192
result[1, 1, 4] = x193 * x84 * x93
result[1, 1, 5] = x192 * x54
result[1, 1, 6] = x194 * x201
result[1, 1, 7] = x191 * x202 * x204
result[1, 1, 8] = x205 * x206
result[1, 1, 9] = x107 * x207
result[1, 2, 0] = 0
result[1, 2, 1] = x186 * x208
result[1, 2, 2] = 0
result[1, 2, 3] = x209 * x210
result[1, 2, 4] = x112 * x213
result[1, 2, 5] = 0
result[1, 2, 6] = x214 * x216
result[1, 2, 7] = x112 * x217 * x34
result[1, 2, 8] = x194 * x218
result[1, 2, 9] = 0
result[1, 3, 0] = x148 * x221
result[1, 3, 1] = x135 * x223
result[1, 3, 2] = x224 * x225
result[1, 3, 3] = x228 * x4
result[1, 3, 4] = x222 * x230 * x40
result[1, 3, 5] = x231 * x92
result[1, 3, 6] = (
0.25
* x235
* (
4.0 * x1 * x195
+ 4.0 * x197 * (x234 + x88)
+ 2.0 * x232
+ 4.0 * x34 * x84
+ 4.0 * x70 * x84
+ x98
)
)
result[1, 3, 7] = x228 * x40
result[1, 3, 8] = x223 * x54
result[1, 3, 9] = x107 * x221
result[1, 4, 0] = x208 * x236
result[1, 4, 1] = x206 * x237
result[1, 4, 2] = x135 * x238
result[1, 4, 3] = x109 * x191 * x230
result[1, 4, 4] = x112 * x239 * x84
result[1, 4, 5] = x123 * x240
result[1, 4, 6] = x201 * x208
result[1, 4, 7] = x191 * x238
result[1, 4, 8] = x187 * x218
result[1, 4, 9] = x242
result[1, 5, 0] = 0
result[1, 5, 1] = x159 * x182
result[1, 5, 2] = 0
result[1, 5, 3] = x243
result[1, 5, 4] = x142 * x246
result[1, 5, 5] = 0
result[1, 5, 6] = x157 * x178
result[1, 5, 7] = x245 * x50
result[1, 5, 8] = x248
result[1, 5, 9] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x171
result[2, 0, 3] = 0
result[2, 0, 4] = x173 * x249
result[2, 0, 5] = x173 * x81
result[2, 0, 6] = 0
result[2, 0, 7] = x182 * x63
result[2, 0, 8] = x181
result[2, 0, 9] = x251 * x56
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x186 * x252
result[2, 1, 3] = 0
result[2, 1, 4] = x213 * x77
result[2, 1, 5] = x209 * x253
result[2, 1, 6] = 0
result[2, 1, 7] = x194 * x254
result[2, 1, 8] = x217 * x40 * x77
result[2, 1, 9] = x216 * x255
result[2, 2, 0] = x184
result[2, 2, 1] = x188 * x249
result[2, 2, 2] = x186 * x256
result[2, 2, 3] = x192 * x44
result[2, 2, 4] = 0.5 * x116 * x61 * x89
result[2, 2, 5] = x192 * x259
result[2, 2, 6] = x121 * x207
result[2, 2, 7] = x260 * x261
result[2, 2, 8] = x203 * x259 * x262
result[2, 2, 9] = x194 * x268
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x139 * x182
result[2, 3, 3] = 0
result[2, 3, 4] = x137 * x269
result[2, 3, 5] = x270
result[2, 3, 6] = 0
result[2, 3, 7] = x271
result[2, 3, 8] = x272 * x40
result[2, 3, 9] = x130 * x251
result[2, 4, 0] = x236 * x252
result[2, 4, 1] = x135 * x273
result[2, 4, 2] = x225 * x261
result[2, 4, 3] = x269 * x88
result[2, 4, 4] = x116 * x239 * x77
result[2, 4, 5] = x229 * x259 * x274
result[2, 4, 6] = x275
result[2, 4, 7] = x254 * x256
result[2, 4, 8] = x259 * x273
result[2, 4, 9] = x252 * x268
result[2, 5, 0] = x149 * x220
result[2, 5, 1] = x237 * x276
result[2, 5, 2] = x135 * x278
result[2, 5, 3] = x113 * x231
result[2, 5, 4] = x277 * x279 * x4
result[2, 5, 5] = x229 * x281
result[2, 5, 6] = x220 * x282 * x60
result[2, 5, 7] = x278 * x44
result[2, 5, 8] = x262 * x281
result[2, 5, 9] = (
0.25
* x235
* (
4.0 * x1 * x263
+ 4.0 * x109 * x116
+ 4.0 * x116 * x40
+ x126
+ 4.0 * x265 * (x120 + x284)
+ 2.0 * x283
)
)
result[3, 0, 0] = (
0.25
* x235
* (
4.0 * x1 * x285
+ x11
+ 4.0 * x13 * x4
+ 4.0 * x13 * x5
+ 2.0 * x286
+ 4.0 * x291 * (x17 + x290)
)
)
result[3, 0, 1] = x294 * x50
result[3, 0, 2] = x294 * x81
result[3, 0, 3] = x297 * x44
result[3, 0, 4] = x279 * x296 * x40
result[3, 0, 5] = x297 * x54
result[3, 0, 6] = x121 * x298
result[3, 0, 7] = x224 * x260
result[3, 0, 8] = x205 * x276
result[3, 0, 9] = x107 * x298
result[3, 1, 0] = x252 * x300
result[3, 1, 1] = x273 * x301
result[3, 1, 2] = x202 * x301 * x303
result[3, 1, 3] = x254 * x304
result[3, 1, 4] = x105 * x13 * x193
result[3, 1, 5] = x305 * x92
result[3, 1, 6] = x275
result[3, 1, 7] = x306 * x88
result[3, 1, 8] = x273 * x54
result[3, 1, 9] = x107 * x200 * x252
result[3, 2, 0] = x208 * x300
result[3, 2, 1] = x109 * x279 * x301
result[3, 2, 2] = x238 * x301
result[3, 2, 3] = x113 * x305
result[3, 2, 4] = 0.5 * x114 * x13
result[3, 2, 5] = x218 * x304
result[3, 2, 6] = x121 * x200 * x208
result[3, 2, 7] = x238 * x44
result[3, 2, 8] = x123 * x172 * x35
result[3, 2, 9] = x242
result[3, 3, 0] = x130 * x308
result[3, 3, 1] = x272 * x4
result[3, 3, 2] = x270
result[3, 3, 3] = x271
result[3, 3, 4] = x137 * x306
result[3, 3, 5] = x143 * x182
result[3, 3, 6] = 0
result[3, 3, 7] = 0
result[3, 3, 8] = 0
result[3, 3, 9] = 0
result[3, 4, 0] = x208 * x215 * x307 * x70
result[3, 4, 1] = x208 * x309 * x77
result[3, 4, 2] = x112 * x252 * x309
result[3, 4, 3] = x208 * x254
result[3, 4, 4] = x153 * x212
result[3, 4, 5] = x218 * x252
result[3, 4, 6] = 0
result[3, 4, 7] = 0
result[3, 4, 8] = 0
result[3, 4, 9] = 0
result[3, 5, 0] = x157 * x308
result[3, 5, 1] = x243
result[3, 5, 2] = x151 * x245
result[3, 5, 3] = x163 * x182
result[3, 5, 4] = x246 * x35
result[3, 5, 5] = x248
result[3, 5, 6] = 0
result[3, 5, 7] = 0
result[3, 5, 8] = 0
result[3, 5, 9] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x312
result[4, 0, 2] = 0
result[4, 0, 3] = -x313 * x315
result[4, 0, 4] = -x296 * x318
result[4, 0, 5] = 0
result[4, 0, 6] = -x320 * x321
result[4, 0, 7] = x323
result[4, 0, 8] = -x324 * x5
result[4, 0, 9] = 0
result[4, 1, 0] = x325
result[4, 1, 1] = -x301 * x329
result[4, 1, 2] = -x301 * x318
result[4, 1, 3] = -x191 * x331
result[4, 1, 4] = -x333 * x64 * x83
result[4, 1, 5] = -x331 * x54
result[4, 1, 6] = x335
result[4, 1, 7] = -x191 * x318
result[4, 1, 8] = -x329 * x54
result[4, 1, 9] = -x107 * x334
result[4, 2, 0] = 0
result[4, 2, 1] = -x301 * x336
result[4, 2, 2] = 0
result[4, 2, 3] = -x12 * x337 * x338
result[4, 2, 4] = -x122 * x333
result[4, 2, 5] = 0
result[4, 2, 6] = -x214 * x340
result[4, 2, 7] = -x337 * x341
result[4, 2, 8] = x343
result[4, 2, 9] = 0
result[4, 3, 0] = -x307 * x344
result[4, 3, 1] = -x222 * x345
result[4, 3, 2] = x347
result[4, 3, 3] = x348
result[4, 3, 4] = -x222 * x318
result[4, 3, 5] = -x324 * x70
result[4, 3, 6] = 0
result[4, 3, 7] = 0
result[4, 3, 8] = 0
result[4, 3, 9] = 0
result[4, 4, 0] = -x109 * x349
result[4, 4, 1] = -x338 * x345 * x83
result[4, 4, 2] = -x341 * x345
result[4, 4, 3] = -x191 * x336
result[4, 4, 4] = -x122 * x350
result[4, 4, 5] = x343
result[4, 4, 6] = 0
result[4, 4, 7] = 0
result[4, 4, 8] = 0
result[4, 4, 9] = 0
result[4, 5, 0] = 0
result[4, 5, 1] = -x157 * x345
result[4, 5, 2] = 0
result[4, 5, 3] = -x157 * x337
result[4, 5, 4] = -x161 * x351
result[4, 5, 5] = 0
result[4, 5, 6] = 0
result[4, 5, 7] = 0
result[4, 5, 8] = 0
result[4, 5, 9] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = -x351 * x45
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = -x337 * x56
result[5, 0, 8] = -x352 * x56
result[5, 0, 9] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x353
result[5, 1, 3] = 0
result[5, 1, 4] = -x350 * x93
result[5, 1, 5] = -x352 * x354
result[5, 1, 6] = 0
result[5, 1, 7] = -x191 * x355
result[5, 1, 8] = -x203 * x352 * x83
result[5, 1, 9] = -x340 * x356
result[5, 2, 0] = 0
result[5, 2, 1] = x353
result[5, 2, 2] = 0
result[5, 2, 3] = -x337 * x354
result[5, 2, 4] = -x357 * x93
result[5, 2, 5] = 0
result[5, 2, 6] = -x321 * x340
result[5, 2, 7] = -x115 * x203 * x337
result[5, 2, 8] = -x259 * x355
result[5, 2, 9] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = -x358 * x70
result[5, 3, 3] = 0
result[5, 3, 4] = -x222 * x359
result[5, 3, 5] = x347
result[5, 3, 6] = 0
result[5, 3, 7] = x348
result[5, 3, 8] = -x222 * x352
result[5, 3, 9] = -x250 * x344
result[5, 4, 0] = -x148 * x334
result[5, 4, 1] = -x135 * x329
result[5, 4, 2] = -x135 * x360
result[5, 4, 3] = -x191 * x359
result[5, 4, 4] = -x326 * x361 * x362
result[5, 4, 5] = -x259 * x359
result[5, 4, 6] = x335
result[5, 4, 7] = -x191 * x360
result[5, 4, 8] = -x259 * x329
result[5, 4, 9] = x363
result[5, 5, 0] = 0
result[5, 5, 1] = -x109 * x358
result[5, 5, 2] = 0
result[5, 5, 3] = x364
result[5, 5, 4] = -x277 * x359
result[5, 5, 5] = 0
result[5, 5, 6] = -x214 * x320
result[5, 5, 7] = -x277 * x337
result[5, 5, 8] = x365
result[5, 5, 9] = 0
result[6, 0, 0] = -x377 * (0.125 * x20 + x23 * x366 - x366 * x376 - 0.125 * x374)
result[6, 0, 1] = -x34 * x380
result[6, 0, 2] = -x380 * x40
result[6, 0, 3] = x385 * (x381 * x383 - 0.25 * x382 * x45 + x384 * x45)
result[6, 0, 4] = -x386 * x388
result[6, 0, 5] = x390 * (-2.0 * x125 * x45 + x381 * x389 + x389 * x45)
result[6, 0, 6] = x400 * (-0.5 * x392 * x97 + 0.25 * x395 + 0.25 * x397)
result[6, 0, 7] = x403 * (-0.5 * x382 * x392 + 0.25 * x382 * x396 + 0.25 * x401)
result[6, 0, 8] = x405 * (-0.5 * x125 * x392 + x392 * x404 + x396 * x404)
result[6, 0, 9] = x409 * (x392 * x406 - 0.5 * x392 * x407 + x396 * x406)
result[6, 1, 0] = -x252 * x412
result[6, 1, 1] = x414 * (0.125 * x17 * x195 - 0.25 * x17 * x86 + 0.125 * x413)
result[6, 1, 2] = -x247 * x303 * x415
result[6, 1, 3] = x414 * (-0.25 * x15 * x88 + 0.125 * x285 * x88 + 0.125 * x419)
result[6, 1, 4] = x40 * x421 * (-0.5 * x15 * x86 + 0.25 * x285 * x86 + 0.25 * x420)
result[6, 1, 5] = x422 * x71 * (-2.0 * x125 * x15 + x15 * x389 + x285 * x389)
result[6, 1, 6] = -x426 * x427
result[6, 1, 7] = -x204 * x429
result[6, 1, 8] = x101 * x422 * (-2.0 * x125 * x86 + x195 * x389 + x389 * x86)
result[6, 1, 9] = -0.1 * x302 * x430
result[6, 2, 0] = -x208 * x412
result[6, 2, 1] = -x282 * x386 * x415
result[6, 2, 2] = x414 * (-0.25 * x17 * x263 + x17 * x431 + x372 * x431)
result[6, 2, 3] = x435 * (-0.5 * x15 * x382 + x285 * x432 + x433 * x97)
result[6, 2, 4] = x34 * x421 * (x118 * x433 - 0.5 * x15 * x263 + x285 * x436)
result[6, 2, 5] = x414 * (x15 * x437 - 0.25 * x15 * x440 + x285 * x437)
result[6, 2, 6] = 0.05 * x441
result[6, 2, 7] = x101 * x434 * (x118 * x432 - 0.5 * x263 * x382 + x436 * x97)
result[6, 2, 8] = x194 * x249 * x442
result[6, 2, 9] = -x427 * x445
result[6, 3, 0] = x452 * (-0.5 * x10 * x447 + 0.25 * x449 + 0.25 * x451)
result[6, 3, 1] = x385 * (-0.25 * x137 * x455 + x137 * x457 + x454 * x456)
result[6, 3, 2] = x403 * (-0.5 * x447 * x455 + 0.25 * x458 + 0.25 * x459)
result[6, 3, 3] = -x4 * x460
result[6, 3, 4] = -x386 * x462
result[6, 3, 5] = x463 * (-0.5 * x125 * x447 + x404 * x447 + x404 * x450)
result[6, 3, 6] = -x377 * (0.125 * x145 + x147 * x366 - x366 * x466 - 0.125 * x465)
result[6, 3, 7] = -x40 * x460
result[6, 3, 8] = x390 * (-2.0 * x125 * x137 + x137 * x389 + x389 * x454)
result[6, 3, 9] = x409 * (x406 * x447 + x406 * x450 - 0.5 * x407 * x447)
result[6, 4, 0] = 0.05 * x467
result[6, 4, 1] = x435 * (0.25 * x10 * x86 + x195 * x468 - 0.5 * x455 * x86)
result[6, 4, 2] = x434 * x71 * (x10 * x436 - 0.5 * x263 * x455 + x436 * x455)
result[6, 4, 3] = -x338 * x4 * x429
result[6, 4, 4] = x4 * x421 * (x195 * x436 - 0.5 * x263 * x86 + x436 * x86)
result[6, 4, 5] = x269 * x442 * x70
result[6, 4, 6] = -x426 * x469
result[6, 4, 7] = x414 * (-0.25 * x263 * x88 + x418 * x431 + x431 * x88)
result[6, 4, 8] = x414 * (x195 * x437 + x437 * x86 - 0.25 * x440 * x86)
result[6, 4, 9] = -x445 * x470
result[6, 5, 0] = x452 * (-0.5 * x10 * x475 + x448 * x473 + x474)
result[6, 5, 1] = x405 * (-0.5 * x455 * x475 + x468 * x472 + x474)
result[6, 5, 2] = x385 * (x161 * x456 + x161 * x457 - 0.25 * x455 * x477)
result[6, 5, 3] = x463 * (-0.5 * x382 * x475 + x432 * x472 + x478)
result[6, 5, 4] = x172 * x249 * x4 * (x109 * x118 - x167 - x476)
result[6, 5, 5] = -x4 * x479
result[6, 5, 6] = x400 * (x394 * x473 - 0.5 * x475 * x97 + x478)
result[6, 5, 7] = x385 * (x161 * x383 + x161 * x384 - 0.25 * x382 * x477)
result[6, 5, 8] = -x34 * x479
result[6, 5, 9] = x377 * (
0.25 * x166
+ x168 * x211
- x211 * (7.0 * x116 + x119 + x284 + x438 + x476)
- 0.25 * x40 * (x1 * x443 + 2.0 * x109 * x440)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x312
result[7, 0, 3] = 0
result[7, 0, 4] = -x313 * x317
result[7, 0, 5] = -x296 * x352
result[7, 0, 6] = 0
result[7, 0, 7] = -x480 * x5
result[7, 0, 8] = x323
result[7, 0, 9] = -x320 * x356
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = -x481 * x70
result[7, 1, 3] = 0
result[7, 1, 4] = -x105 * x333
result[7, 1, 5] = -x12 * x274 * x352
result[7, 1, 6] = 0
result[7, 1, 7] = x482
result[7, 1, 8] = -x352 * x483
result[7, 1, 9] = -x255 * x340
result[7, 2, 0] = x325
result[7, 2, 1] = -x34 * x481
result[7, 2, 2] = -x301 * x360
result[7, 2, 3] = -x331 * x44
result[7, 2, 4] = -x12 * x169 * x362 * x484
result[7, 2, 5] = -x259 * x331
result[7, 2, 6] = -x121 * x334
result[7, 2, 7] = -x360 * x44
result[7, 2, 8] = -x34 * x485
result[7, 2, 9] = x363
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = -x130 * x345
result[7, 3, 3] = 0
result[7, 3, 4] = -x137 * x351
result[7, 3, 5] = -x130 * x352
result[7, 3, 6] = 0
result[7, 3, 7] = 0
result[7, 3, 8] = 0
result[7, 3, 9] = 0
result[7, 4, 0] = -x349 * x70
result[7, 4, 1] = -x345 * x483
result[7, 4, 2] = -x115 * x274 * x345
result[7, 4, 3] = x482
result[7, 4, 4] = -x105 * x357
result[7, 4, 5] = -x485 * x70
result[7, 4, 6] = 0
result[7, 4, 7] = 0
result[7, 4, 8] = 0
result[7, 4, 9] = 0
result[7, 5, 0] = -x109 * x307 * x320
result[7, 5, 1] = x364
result[7, 5, 2] = -x277 * x345
result[7, 5, 3] = -x109 * x480
result[7, 5, 4] = -x277 * x317 * x34
result[7, 5, 5] = x365
result[7, 5, 6] = 0
result[7, 5, 7] = 0
result[7, 5, 8] = 0
result[7, 5, 9] = 0
result[8, 0, 0] = x377 * (
0.2165063509461096 * x20 + x23 * x486 - 0.2165063509461096 * x374 - x376 * x486
)
result[8, 0, 1] = -x34 * x488
result[8, 0, 2] = -x40 * x488
result[8, 0, 3] = 0.2165063509461096 * x385 * (-x381 * x382 + x45 * x97)
result[8, 0, 4] = x388 * x490
result[8, 0, 5] = x387 * x492
result[8, 0, 6] = x34 * x493 * (x395 - x397)
result[8, 0, 7] = x494 * (-x382 * x396 + x401)
result[8, 0, 8] = -x34 * x497
result[8, 0, 9] = -x498
result[8, 1, 0] = -x470 * x499
result[8, 1, 1] = x500 * (x17 * x195 - x413)
result[8, 1, 2] = x253 * x501
result[8, 1, 3] = x500 * (-x285 * x88 + x419)
result[8, 1, 4] = 0.1082531754730548 * x408 * (-x285 * x86 + x420)
result[8, 1, 5] = -x502 * x70
result[8, 1, 6] = -x427 * x504
result[8, 1, 7] = -x194 * x40 * x505
result[8, 1, 8] = x5 * x502
result[8, 1, 9] = 0
result[8, 2, 0] = -x469 * x499
result[8, 2, 1] = x210 * x501
result[8, 2, 2] = x415 * x506
result[8, 2, 3] = 0.4330127018922193 * x435 * (x15 * x97 - x285 * x382)
result[8, 2, 4] = -x507 * x508
result[8, 2, 5] = -x509
result[8, 2, 6] = 0.08660254037844385 * x441
result[8, 2, 7] = x203 * x510
result[8, 2, 8] = 0
result[8, 2, 9] = 0
result[8, 3, 0] = x4 * x493 * (-x449 + x451)
result[8, 3, 1] = 0.2165063509461096 * x385 * (-x10 * x137 + x454 * x455)
result[8, 3, 2] = x494 * (-x458 + x459)
result[8, 3, 3] = -x4 * x511
result[8, 3, 4] = -x462 * x490
result[8, 3, 5] = x4 * x497
result[8, 3, 6] = -x377 * (
0.2165063509461096 * x145 + x147 * x486 - 0.2165063509461096 * x465 - x466 * x486
)
result[8, 3, 7] = -x40 * x511
result[8, 3, 8] = -x461 * x492
result[8, 3, 9] = x498
result[8, 4, 0] = -0.08660254037844385 * x467
result[8, 4, 1] = 0.4330127018922193 * x435 * (-x10 * x86 + x195 * x455)
result[8, 4, 2] = -x274 * x510
result[8, 4, 3] = -x208 * x4 * x505
result[8, 4, 4] = x508 * x512
result[8, 4, 5] = 0
result[8, 4, 6] = -x469 * x504
result[8, 4, 7] = -x428 * x506
result[8, 4, 8] = x509
result[8, 4, 9] = 0
result[8, 5, 0] = -x512 * x513
result[8, 5, 1] = -x34 * x514
result[8, 5, 2] = -x515
result[8, 5, 3] = x4 * x514
result[8, 5, 4] = 0
result[8, 5, 5] = 0
result[8, 5, 6] = x507 * x513
result[8, 5, 7] = x515
result[8, 5, 8] = 0
result[8, 5, 9] = 0
return result
[docs]
def multipole3d_sph_24(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (dg) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 6, 15), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - B[0]
x5 = 1.772453850905516
x6 = numpy.sqrt(x2)
x7 = x5 * x6
x8 = -x3 - A[0]
x9 = ax * bx * x2
x10 = numpy.exp(-x9 * (A[0] - B[0]) ** 2)
x11 = x10 * x8
x12 = x11 * x7
x13 = x10 * x7
x14 = x13 * x4
x15 = x1 * (x12 + x14)
x16 = x1 * x13
x17 = x12 * x4
x18 = x16 + x17
x19 = x18 * x4
x20 = x15 + x19
x21 = x20 * x4
x22 = x20 * x8
x23 = x4**2
x24 = x13 * x23
x25 = 3.0 * x16
x26 = x24 + x25
x27 = x1 * (2.0 * x17 + x26)
x28 = x18 * x8
x29 = x22 + x27
x30 = 2.0 * x1 * (2.0 * x15 + x19 + x28) + x29 * x4
x31 = x1 * (2.0 * x21 + 3.0 * x22 + 5.0 * x27) + x30 * x4
x32 = 5.916079783099616
x33 = 0.009523809523809525 * x32
x34 = numpy.exp(-x9 * (A[2] - B[2]) ** 2)
x35 = da * db
x36 = numpy.exp(-x9 * (A[1] - B[1]) ** 2)
x37 = 3.141592653589793 * x2 * x36
x38 = x35 * x37
x39 = x34 * x38
x40 = x33 * x39
x41 = -x2 * (ax * A[1] + bx * B[1])
x42 = -x41 - B[1]
x43 = 2.23606797749979
x44 = 0.06666666666666667 * x43
x45 = x42 * x44
x46 = x30 * x39
x47 = -x2 * (ax * A[2] + bx * B[2])
x48 = -x47 - B[2]
x49 = x44 * x48
x50 = x34 * x7
x51 = x36 * x7
x52 = x42**2 * x51
x53 = x1 * x51
x54 = x52 + x53
x55 = 1.732050807568877
x56 = x35 * x55
x57 = x54 * x56
x58 = 0.1111111111111111 * x57
x59 = x50 * x58
x60 = 0.3333333333333333 * x35
x61 = x48 * x60
x62 = x37 * x42
x63 = x34 * x62
x64 = x29 * x63
x65 = x48**2 * x50
x66 = x1 * x50
x67 = x65 + x66
x68 = x56 * x67
x69 = 0.1111111111111111 * x68
x70 = x42 * x54
x71 = x42 * x53
x72 = x70 + 2.0 * x71
x73 = x15 + x28
x74 = x35 * x50
x75 = x44 * x74
x76 = x48 * x50
x77 = x54 * x60
x78 = x73 * x77
x79 = x42 * x51
x80 = x60 * x67
x81 = x48 * x67
x82 = x48 * x66
x83 = x81 + 2.0 * x82
x84 = x44 * x83
x85 = x35 * x51
x86 = x73 * x85
x87 = x8**2
x88 = x13 * x87 + x16
x89 = 3.0 * x53
x90 = x1 * (3.0 * x52 + x89) + x42 * x72
x91 = x33 * x74
x92 = x35 * x72
x93 = x44 * x76
x94 = x88 * x93
x95 = x54 * x88
x96 = x79 * x88
x97 = x35 * x84
x98 = 3.0 * x66
x99 = x1 * (3.0 * x65 + x98) + x48 * x83
x100 = x88 * x99
x101 = x33 * x85
x102 = -x41 - A[1]
x103 = x102 * x39
x104 = x16 + x24
x105 = x104 * x4
x106 = x1 * x14
x107 = x105 + 2.0 * x106
x108 = x21 + x27
x109 = x1 * (x107 + 3.0 * x15 + 3.0 * x19) + x108 * x4
x110 = 10.2469507659596
x111 = 0.009523809523809525 * x110
x112 = x109 * x111
x113 = x102 * x51
x114 = x113 * x42
x115 = x114 + x53
x116 = 3.872983346207417
x117 = 0.06666666666666667 * x116
x118 = x117 * x74
x119 = x108 * x118
x120 = x108 * x117
x121 = x103 * x48
x122 = x1 * (x113 + x79)
x123 = x115 * x42
x124 = x122 + x123
x125 = x50 * x60
x126 = x20 * x56
x127 = 0.3333333333333333 * x76
x128 = x126 * x127
x129 = x52 + x89
x130 = x1 * (2.0 * x114 + x129)
x131 = x124 * x42
x132 = x130 + x131
x133 = x124 * x18
x134 = x127 * x56
x135 = x115 * x18
x136 = 0.3333333333333333 * x68
x137 = x113 * x18
x138 = x117 * x35
x139 = x138 * x83
x140 = x11 * x111
x141 = x1 * (3.0 * x122 + 3.0 * x123 + x72) + x132 * x42
x142 = 3.141592653589793 * x2
x143 = x142 * x34
x144 = x143 * x35
x145 = x141 * x144
x146 = x138 * x143
x147 = x132 * x146
x148 = x11 * x48
x149 = x12 * x139
x150 = x140 * x38
x151 = x102 * x150
x152 = -x47 - A[2]
x153 = x152 * x39
x154 = x153 * x42
x155 = x152 * x50
x156 = x155 * x48
x157 = x156 + x66
x158 = x117 * x85
x159 = x108 * x158
x160 = x20 * x77
x161 = 0.3333333333333333 * x157
x162 = x126 * x79
x163 = x1 * (x155 + x76)
x164 = x157 * x48
x165 = x163 + x164
x166 = x165 * x20
x167 = x51 * x60
x168 = x117 * x92
x169 = x155 * x18
x170 = x18 * x57
x171 = x18 * x79
x172 = 0.3333333333333333 * x56
x173 = x165 * x172
x174 = x65 + x98
x175 = x1 * (2.0 * x156 + x174)
x176 = x165 * x48
x177 = x175 + x176
x178 = x177 * x18
x179 = x144 * x90
x180 = x140 * x152
x181 = x12 * x157
x182 = x165 * x60
x183 = x182 * x54
x184 = x117 * x177
x185 = x11 * x38
x186 = x185 * x42
x187 = x1 * (3.0 * x163 + 3.0 * x164 + x83) + x177 * x48
x188 = x102**2
x189 = x188 * x51 + x53
x190 = x1 * (3.0 * x24 + x25) + x107 * x4
x191 = x102 * x115
x192 = x122 + x191
x193 = x107 * x189 * x35
x194 = x102 * x124
x195 = x130 + x194
x196 = x104 * x56
x197 = 0.1111111111111111 * x196
x198 = x197 * x50
x199 = x104 * x192
x200 = x60 * x76
x201 = x104 * x189
x202 = 2.0 * x1 * (2.0 * x122 + x123 + x191) + x195 * x42
x203 = x35 * x44
x204 = x10 * x143
x205 = x204 * x4
x206 = x203 * x205
x207 = x195 * x204
x208 = x207 * x4
x209 = x14 * x189
x210 = x1 * (5.0 * x130 + 2.0 * x131 + 3.0 * x194) + x202 * x42
x211 = x33 * x35
x212 = x204 * x211
x213 = x204 * x35
x214 = x213 * x49
x215 = x13 * x35
x216 = x215 * x84
x217 = x189 * x99
x218 = x13 * x211
x219 = x103 * x190
x220 = x111 * x219
x221 = x107 * x138
x222 = x155 * x221
x223 = x107 * x113 * x138
x224 = x124 * x60
x225 = x104 * x155
x226 = x161 * x196
x227 = x104 * x113
x228 = x10 * x152
x229 = x228 * x4
x230 = x124 * x14
x231 = x161 * x56
x232 = x14 * x173
x233 = x10 * x38
x234 = x233 * x4
x235 = x102 * x234
x236 = x111 * x228
x237 = x117 * x215
x238 = x157 * x237
x239 = x13 * x182
x240 = x115 * x177
x241 = x111 * x233
x242 = x102 * x241
x243 = x152**2
x244 = x243 * x50 + x66
x245 = x101 * x244
x246 = x203 * x244
x247 = x107 * x246
x248 = x152 * x157
x249 = x163 + x248
x250 = x107 * x249
x251 = x44 * x85
x252 = x104 * x249 * x60
x253 = x152 * x165
x254 = x175 + x253
x255 = x197 * x51
x256 = x44 * x92
x257 = x244 * x256
x258 = x14 * x77
x259 = x4 * x42
x260 = x254 * x259
x261 = x37 * x60
x262 = x10 * x261
x263 = 2.0 * x1 * (2.0 * x163 + x164 + x248) + x254 * x48
x264 = x233 * x263
x265 = x264 * x44
x266 = x218 * x244
x267 = x249 * x72
x268 = x215 * x44
x269 = x13 * x58
x270 = x1 * (5.0 * x175 + 2.0 * x176 + 3.0 * x253) + x263 * x48
x271 = x233 * x33
x272 = x1 * x30
x273 = x272 * x39 * x44
x274 = 0.2222222222222222 * x56
x275 = x1 * x274
x276 = x1 * x48
x277 = x276 * x29
x278 = x277 * x34
x279 = x1 * x129
x280 = x1 * x52
x281 = x279 + 2.0 * x280
x282 = x276 * x39
x283 = x42 * x73
x284 = 0.6666666666666666 * x282 * x283
x285 = x53 * x73
x286 = x1 * (x70 + 8.0 * x71) + x281 * x42
x287 = x281 * x35
x288 = x71 * x88
x289 = 0.2222222222222222 * x68
x290 = x53 * x88
x291 = x1 * x109
x292 = x111 * x39
x293 = x291 * x292
x294 = x102 * x53
x295 = x294 + x71
x296 = x108 * x276
x297 = x117 * x39
x298 = x1 * (x114 + x89)
x299 = x295 * x42
x300 = x298 + x299
x301 = x20 * x53
x302 = x1 * (x124 + 2.0 * x294 + 4.0 * x71)
x303 = x300 * x42
x304 = x302 + x303
x305 = x18 * x295
x306 = x18 * x53
x307 = 3.0 * x298
x308 = x1 * (x132 + x281 + 3.0 * x299 + x307) + x304 * x42
x309 = x144 * x308
x310 = x146 * x304
x311 = x1 * x99
x312 = x1 * x108
x313 = x152 * x312
x314 = x20 * x42
x315 = x1 * x152
x316 = x315 * x39
x317 = x138 * x281
x318 = x18 * x71
x319 = 0.6666666666666666 * x56
x320 = x157 * x319
x321 = x144 * x286
x322 = x165 * x42
x323 = 0.6666666666666666 * x1
x324 = x1 * x177
x325 = x117 * x324
x326 = 0.01904761904761905 * x32
x327 = x1 * x326
x328 = x102 * x295
x329 = x298 + x328
x330 = x107 * x43
x331 = x103 * x330
x332 = 0.1333333333333333 * x276
x333 = x102 * x300
x334 = x302 + x333
x335 = x104 * x329
x336 = x104 * x294
x337 = 4.0 * x298 + 2.0 * x299
x338 = x1 * (x195 + 2.0 * x328 + x337)
x339 = x334 * x42
x340 = x338 + x339
x341 = x205 * x334
x342 = x43 * x83
x343 = 0.1333333333333333 * x1
x344 = x342 * x343
x345 = 2.0 * x303
x346 = x311 * x326
x347 = x102 * x233
x348 = x190 * x315
x349 = x157 * x53
x350 = x104 * x53
x351 = x14 * x300
x352 = x1 * x187
x353 = x241 * x352
x354 = 0.2222222222222222 * x244
x355 = x233 * x259
x356 = x249 * x323 * x355
x357 = x1 * x254
x358 = x357 * x4
x359 = x10 * x62
x360 = x357 * x359
x361 = x1 * x265
x362 = x1 * x60
x363 = x274 * x37
x364 = x1 * x174
x365 = x1 * x65
x366 = x364 + 2.0 * x365
x367 = x366 * x44
x368 = x66 * x88
x369 = x274 * x82
x370 = x35 * x367
x371 = x1 * (x81 + 8.0 * x82) + x366 * x48
x372 = x115 * x66
x373 = 0.6666666666666666 * x276
x374 = x138 * x366
x375 = x1 * x132
x376 = x146 * x375
x377 = x124 * x144
x378 = x152 * x66
x379 = x378 + x82
x380 = 0.3333333333333333 * x379
x381 = x156 + x98
x382 = x1 * x381
x383 = x379 * x48
x384 = x382 + x383
x385 = x18 * x66
x386 = x172 * x384
x387 = x1 * (x165 + 2.0 * x378 + 4.0 * x82)
x388 = x384 * x48
x389 = x387 + x388
x390 = x1 * x179
x391 = x12 * x379
x392 = x117 * x389
x393 = 3.0 * x382
x394 = x1 * (x177 + x366 + 3.0 * x383 + x393) + x389 * x48
x395 = x205 * x35
x396 = x192 * x373 * x395
x397 = x1 * x202 * x203 * x204
x398 = x195 * x204 * x276
x399 = x104 * x66
x400 = x1 * x111 * x141 * x213
x401 = x13 * x384
x402 = x316 * x42
x403 = x152 * x379
x404 = x382 + x403
x405 = x152 * x384
x406 = x387 + x405
x407 = x143 * x43 * x92
x408 = 4.0 * x382 + 2.0 * x383
x409 = x1 * (x254 + 2.0 * x403 + x408)
x410 = x406 * x48
x411 = x409 + x410
x412 = x233 * x411
x413 = x179 * x327
x414 = 2.0 * x388
x415 = x17 + x25
x416 = x1 * x415
x417 = x1 * x12
x418 = x106 + x417
x419 = x4 * x418
x420 = x416 + x419
x421 = x4 * x420
x422 = 2.0 * x421
x423 = x420 * x8
x424 = x1 * (4.0 * x106 + x20 + 2.0 * x417)
x425 = x418 * x8
x426 = 4.0 * x416 + 2.0 * x419
x427 = x1 * (x29 + 2.0 * x425 + x426)
x428 = x423 + x424
x429 = x4 * x428
x430 = x427 + x429
x431 = x39 * x430
x432 = x428 * x63
x433 = x416 + x425
x434 = x433 * x85
x435 = x417 * x54
x436 = 3.0 * x416
x437 = x1 * x26
x438 = x16 * x23
x439 = x437 + 2.0 * x438
x440 = x421 + x424
x441 = x1 * (x108 + 3.0 * x419 + x436 + x439) + x4 * x440
x442 = x111 * x441
x443 = x117 * x440
x444 = x124 * x418
x445 = x115 * x418
x446 = x113 * x418
x447 = x124 * x16
x448 = x115 * x16
x449 = x420 * x79
x450 = x155 * x418
x451 = x418 * x57
x452 = x418 * x79
x453 = x157 * x16
x454 = x233 * x42
x455 = x1 * (x105 + 8.0 * x106) + x4 * x439
x456 = x35 * x439
x457 = x106 * x189
x458 = x16 * x192
x459 = x16 * x189
x460 = x103 * x455
x461 = x138 * x439
x462 = x106 * x115
x463 = 0.1154700538379251 * x43
x464 = x1 * x463
x465 = x431 * x464
x466 = 0.3849001794597505 * x56
x467 = 0.5773502691896257 * x428
x468 = 0.1154700538379251 * x74
x469 = x281 * x43
x470 = 1.154700538379251 * x42
x471 = x282 * x433 * x470
x472 = x53 * x67
x473 = 0.5773502691896257 * x35
x474 = x433 * x473
x475 = x1 * x11
x476 = 0.0329914439536929 * x32
x477 = x321 * x476
x478 = x11 * x144
x479 = 0.2309401076758503 * x276
x480 = x0 ** (-2.0)
x481 = 0.7698003589195009 * x480
x482 = x481 * x68
x483 = 0.2309401076758503 * x342
x484 = 0.01649572197684645 * x110
x485 = x1 * x39
x486 = x441 * x484 * x485
x487 = x116 * x468
x488 = 0.1154700538379251 * x116
x489 = x440 * x488
x490 = 0.5773502691896257 * x300
x491 = 0.5773502691896257 * x295
x492 = x56 * x76
x493 = 0.5773502691896257 * x420
x494 = x35 * x493
x495 = x418 * x53
x496 = x35 * x488
x497 = x496 * x83
x498 = x1 * x484
x499 = x213 * x308 * x498
x500 = x304 * x488
x501 = x35 * x490
x502 = x16 * x67
x503 = x233 * x480
x504 = x493 * x56
x505 = x287 * x488
x506 = 1.154700538379251 * x56
x507 = x157 * x506
x508 = x165 * x56
x509 = x321 * x498
x510 = 1.154700538379251 * x503
x511 = x177 * x488 * x503
x512 = x1 * x476
x513 = x329 * x43
x514 = x43 * x439
x515 = x1 * x341
x516 = 1.154700538379251 * x276
x517 = x329 * x395 * x516
x518 = x10 * x37
x519 = x4 * x518
x520 = x213 * x340 * x464
x521 = x204 * x276 * x334
x522 = x316 * x455
x523 = x456 * x488
x524 = x1 * x144
x525 = x229 * x524
x526 = x4 * x510
x527 = x490 * x56
x528 = x439 * x463
x529 = x244 * x35
x530 = x481 * x56
x531 = 0.1154700538379251 * x469
x532 = 0.5773502691896257 * x480
x533 = x39 * x480
x534 = 1.154700538379251 * x533
x535 = x48 * x534
x536 = x366 * x463
x537 = x35 * x536
x538 = x108 * x488 * x533
x539 = x506 * x82
x540 = x366 * x496
x541 = x185 * x371
x542 = 0.5773502691896257 * x379
x543 = x542 * x56
x544 = x379 * x506
x545 = x384 * x56
x546 = 0.5773502691896257 * x545
x547 = 1.154700538379251 * x1
x548 = x384 * x547
x549 = x1 * x389 * x488
x550 = 0.2309401076758503 * x480
x551 = x34 * x37
x552 = x196 * x481
x553 = 0.2309401076758503 * x1 * x366 * x43
x554 = 0.1154700538379251 * x215
x555 = x107 * x496
x556 = x350 * x473
x557 = x116 * x554
x558 = x233 * x498
x559 = x394 * x558
x560 = x355 * x404 * x547
x561 = x1 * x406
x562 = 0.5773502691896257 * x561
x563 = x466 * x561
x564 = x412 * x464
x565 = 0.5 * x34
x566 = 3.0 * x1 * (x106 + x417)
x567 = x4 * x416
x568 = x566 + x567
x569 = x4 * x568
x570 = x568 * x8
x571 = 3.0 * x480
x572 = x13 * x571
x573 = x438 + x572
x574 = x1 * (x426 + x573)
x575 = 2.0 * x424
x576 = x416 * x8
x577 = x570 + x574
x578 = x1 * (2.0 * x423 + 4.0 * x566 + 2.0 * x567 + x575 + 2.0 * x576) + x4 * x577
x579 = x37 * (
x1 * (2.0 * x427 + 2.0 * x429 + 2.0 * x569 + 3.0 * x570 + 5.0 * x574) + x4 * x578
)
x580 = 0.009523809523809524 * x35
x581 = x32 * x580
x582 = x37 * x565
x583 = x578 * x582
x584 = 0.06666666666666667 * x35
x585 = x43 * x584
x586 = 0.5 * x50
x587 = x51 * x571
x588 = x280 + x587
x589 = x29 * x588
x590 = 0.1111111111111111 * x56
x591 = x42 * x582
x592 = x48 * x577
x593 = 0.3333333333333333 * x35
x594 = 0.5 * x67
x595 = x51 * x577
x596 = x50 * x571
x597 = x365 + x596
x598 = x29 * x53
x599 = 6.0 * x480
x600 = x42 * x588 + x599 * x79
x601 = x600 * x73
x602 = x566 + x576
x603 = 0.5 * x76
x604 = x588 * x73
x605 = x602 * x79
x606 = x71 * x73
x607 = 0.5 * x51
x608 = x602 * x83
x609 = x48 * x597 + x599 * x76
x610 = 0.5 * x83
x611 = x16 * x87 + x572
x612 = x611 * x90
x613 = 9.0 * x480
x614 = x1 * (2.0 * x279 + 7.0 * x280 + x51 * x613) + x42 * x600
x615 = x614 * x88
x616 = x611 * x72
x617 = x600 * x88
x618 = x588 * x88
x619 = x611 * x79
x620 = x611 * x99
x621 = x1 * (2.0 * x364 + 7.0 * x365 + x50 * x613) + x48 * x609
x622 = 0.5 * x53
x623 = x14 * x599 + x4 * x573
x624 = x569 + x574
x625 = x1 * (x4 * x436 + x422 + 3.0 * x566 + x575 + x623) + x4 * x624
x626 = x582 * x625
x627 = x110 * x580
x628 = x115 * x624
x629 = x108 * x298
x630 = x116 * x584
x631 = x102 * x624
x632 = x1 * x89 * (x102 + x42)
x633 = x298 * x42
x634 = x632 + x633
x635 = x20 * x634
x636 = x115 * x568
x637 = x20 * x298
x638 = x55 * x593
x639 = x113 * x568
x640 = x20 * x294
x641 = x1 * (x337 + x588)
x642 = x42 * x634
x643 = x641 + x642
x644 = x18 * x643
x645 = x18 * x634
x646 = x18 * x298
x647 = x18 * x294
x648 = 2.0 * x302
x649 = x1 * (x307 * x42 + x345 + x600 + 3.0 * x632 + x648) + x42 * x643
x650 = x142 * x565
x651 = x649 * x650
x652 = x11 * x650
x653 = x48 * x643
x654 = x12 * x634
x655 = x115 * x417
x656 = x12 * x298
x657 = 1.0 * x37
x658 = x11 * x657
x659 = x102 * x658
x660 = x152 * x624
x661 = 0.5 * x157
x662 = x51 * x624
x663 = x108 * x53
x664 = 0.5 * x155
x665 = x20 * x588
x666 = x568 * x79
x667 = x20 * x71
x668 = x165 * x568
x669 = x1 * x98 * (x152 + x48)
x670 = x382 * x48
x671 = x669 + x670
x672 = x18 * x600
x673 = x18 * x588
x674 = 0.5 * x165
x675 = x1 * (x408 + x597)
x676 = x48 * x671
x677 = x675 + x676
x678 = x152 * x614
x679 = x12 * x600
x680 = x12 * x588
x681 = x42 * x658
x682 = 2.0 * x387
x683 = x1 * (x393 * x48 + x414 + x609 + 3.0 * x669 + x682) + x48 * x677
x684 = x188 * x53 + x587
x685 = x190 * x684
x686 = x1 * (x13 * x613 + 2.0 * x437 + 7.0 * x438) + x4 * x623
x687 = x192 * x623
x688 = x102 * x298
x689 = x632 + x688
x690 = x107 * x689
x691 = x107 * x684
x692 = x195 * x573
x693 = x102 * x634
x694 = x641 + x693
x695 = x104 * x694
x696 = x192 * x573
x697 = x104 * x689
x698 = x189 * x573
x699 = x104 * x684
x700 = x1 * (2.0 * x333 + 4.0 * x632 + 2.0 * x633 + x648 + 2.0 * x688) + x42 * x694
x701 = x10 * x650
x702 = x700 * x701
x703 = x4 * x701
x704 = x48 * x694
x705 = x14 * x689
x706 = x14 * x684
x707 = x10 * (
x1 * (2.0 * x338 + 2.0 * x339 + 5.0 * x641 + 2.0 * x642 + 3.0 * x693) + x42 * x700
)
x708 = x13 * x694
x709 = 0.5 * x13
x710 = x689 * x83
x711 = x684 * x99
x712 = 0.5 * x16
x713 = x152 * x686
x714 = x115 * x623
x715 = x107 * x298
x716 = x113 * x623
x717 = x107 * x294
x718 = x124 * x573
x719 = x104 * x634
x720 = x115 * x573
x721 = x104 * x298
x722 = x113 * x573
x723 = x14 * x634
x724 = x14 * x298
x725 = x10 * x657
x726 = x102 * x725
x727 = x4 * x726
x728 = x13 * x643
x729 = x165 * x634
x730 = x177 * x298
x731 = 0.5 * x244
x732 = x51 * x686
x733 = x243 * x66 + x596
x734 = x190 * x53
x735 = x623 * x79
x736 = x107 * x71
x737 = x249 * x623
x738 = x152 * x382
x739 = x669 + x738
x740 = x104 * x588
x741 = 0.5 * x249
x742 = x573 * x79
x743 = x104 * x71
x744 = x254 * x573
x745 = x152 * x671
x746 = x675 + x745
x747 = x104 * x254
x748 = x14 * x600
x749 = x14 * x588
x750 = x1 * x725
x751 = x1 * (2.0 * x405 + 4.0 * x669 + 2.0 * x670 + x682 + 2.0 * x738) + x48 * x746
x752 = x725 * x751
x753 = x263 * x750
x754 = x13 * x614
x755 = x249 * x600
x756 = x254 * x588
x757 = x42 * x485
x758 = x54 * x66
x759 = x407 * x550
x760 = x143 * x481 * x57
x761 = 0.5773502691896257 * x56
x762 = x213 * x480
x763 = x132 * x488 * x762
x764 = 1.154700538379251 * x124
x765 = x48 * x762
x766 = x488 * x85
x767 = x488 * x92
x768 = x16 * x384
x769 = x473 * x54
x770 = 1.154700538379251 * x192
x771 = x205 * x480
x772 = x35 * x771
x773 = 0.8660254037844386 * x34
x774 = x37 * x773
x775 = x578 * x774
x776 = x272 * x774
x777 = 0.8660254037844386 * x50
x778 = x42 * x774
x779 = 0.8660254037844386 * x67
x780 = 0.8660254037844386 * x76
x781 = 0.8660254037844386 * x51
x782 = 0.8660254037844386 * x83
x783 = 0.8660254037844386 * x53
x784 = x625 * x774
x785 = x102 * x774
x786 = x142 * x773
x787 = x649 * x786
x788 = x11 * x786
x789 = 0.8660254037844386 * x157
x790 = 0.8660254037844386 * x155
x791 = 0.8660254037844386 * x165
x792 = x10 * x786
x793 = x700 * x792
x794 = 0.8660254037844386 * x13
x795 = 0.8660254037844386 * x244
x796 = 0.8660254037844386 * x249
# 810 item(s)
result[0, 0, 0] = x31 * x40
result[0, 0, 1] = x45 * x46
result[0, 0, 2] = x46 * x49
result[0, 0, 3] = x29 * x59
result[0, 0, 4] = x61 * x64
result[0, 0, 5] = x29 * x51 * x69
result[0, 0, 6] = x72 * x73 * x75
result[0, 0, 7] = x76 * x78
result[0, 0, 8] = x73 * x79 * x80
result[0, 0, 9] = x84 * x86
result[0, 0, 10] = x88 * x90 * x91
result[0, 0, 11] = x92 * x94
result[0, 0, 12] = x69 * x95
result[0, 0, 13] = x96 * x97
result[0, 0, 14] = x100 * x101
result[0, 1, 0] = x103 * x112
result[0, 1, 1] = x115 * x119
result[0, 1, 2] = x120 * x121
result[0, 1, 3] = x124 * x125 * x20
result[0, 1, 4] = x115 * x128
result[0, 1, 5] = x113 * x20 * x80
result[0, 1, 6] = x118 * x132 * x18
result[0, 1, 7] = x133 * x134
result[0, 1, 8] = x135 * x136
result[0, 1, 9] = x137 * x139
result[0, 1, 10] = x140 * x145
result[0, 1, 11] = x147 * x148
result[0, 1, 12] = x12 * x124 * x80
result[0, 1, 13] = x115 * x149
result[0, 1, 14] = x151 * x99
result[0, 2, 0] = x112 * x153
result[0, 2, 1] = x120 * x154
result[0, 2, 2] = x157 * x159
result[0, 2, 3] = x155 * x160
result[0, 2, 4] = x161 * x162
result[0, 2, 5] = x166 * x167
result[0, 2, 6] = x168 * x169
result[0, 2, 7] = x161 * x170
result[0, 2, 8] = x171 * x173
result[0, 2, 9] = x158 * x178
result[0, 2, 10] = x179 * x180
result[0, 2, 11] = x168 * x181
result[0, 2, 12] = x12 * x183
result[0, 2, 13] = x184 * x186
result[0, 2, 14] = x150 * x187
result[0, 3, 0] = x189 * x190 * x91
result[0, 3, 1] = x107 * x192 * x75
result[0, 3, 2] = x193 * x93
result[0, 3, 3] = x195 * x198
result[0, 3, 4] = x199 * x200
result[0, 3, 5] = x201 * x69
result[0, 3, 6] = x202 * x206
result[0, 3, 7] = x208 * x61
result[0, 3, 8] = x14 * x192 * x80
result[0, 3, 9] = x209 * x97
result[0, 3, 10] = x210 * x212
result[0, 3, 11] = x202 * x214
result[0, 3, 12] = x13 * x195 * x69
result[0, 3, 13] = x192 * x216
result[0, 3, 14] = x217 * x218
result[0, 4, 0] = x152 * x220
result[0, 4, 1] = x115 * x222
result[0, 4, 2] = x157 * x223
result[0, 4, 3] = x224 * x225
result[0, 4, 4] = x115 * x226
result[0, 4, 5] = x182 * x227
result[0, 4, 6] = x147 * x229
result[0, 4, 7] = x230 * x231
result[0, 4, 8] = x115 * x232
result[0, 4, 9] = x184 * x235
result[0, 4, 10] = x145 * x236
result[0, 4, 11] = x132 * x238
result[0, 4, 12] = x124 * x239
result[0, 4, 13] = x237 * x240
result[0, 4, 14] = x187 * x242
result[0, 5, 0] = x190 * x245
result[0, 5, 1] = x247 * x79
result[0, 5, 2] = x250 * x251
result[0, 5, 3] = x104 * x244 * x58
result[0, 5, 4] = x252 * x79
result[0, 5, 5] = x254 * x255
result[0, 5, 6] = x14 * x257
result[0, 5, 7] = x249 * x258
result[0, 5, 8] = x260 * x262
result[0, 5, 9] = x265 * x4
result[0, 5, 10] = x266 * x90
result[0, 5, 11] = x267 * x268
result[0, 5, 12] = x254 * x269
result[0, 5, 13] = x264 * x45
result[0, 5, 14] = x270 * x271
result[1, 0, 0] = 0
result[1, 0, 1] = x273
result[1, 0, 2] = 0
result[1, 0, 3] = x275 * x64
result[1, 0, 4] = x261 * x278
result[1, 0, 5] = 0
result[1, 0, 6] = x281 * x73 * x75
result[1, 0, 7] = x284
result[1, 0, 8] = x285 * x80
result[1, 0, 9] = 0
result[1, 0, 10] = x286 * x88 * x91
result[1, 0, 11] = x287 * x94
result[1, 0, 12] = x288 * x289
result[1, 0, 13] = x290 * x97
result[1, 0, 14] = 0
result[1, 1, 0] = x293
result[1, 1, 1] = x119 * x295
result[1, 1, 2] = x296 * x297
result[1, 1, 3] = x125 * x20 * x300
result[1, 1, 4] = x128 * x295
result[1, 1, 5] = x301 * x80
result[1, 1, 6] = x118 * x18 * x304
result[1, 1, 7] = x134 * x18 * x300
result[1, 1, 8] = x136 * x305
result[1, 1, 9] = x139 * x306
result[1, 1, 10] = x140 * x309
result[1, 1, 11] = x148 * x310
result[1, 1, 12] = x12 * x300 * x80
result[1, 1, 13] = x149 * x295
result[1, 1, 14] = x150 * x311
result[1, 2, 0] = 0
result[1, 2, 1] = x297 * x313
result[1, 2, 2] = 0
result[1, 2, 3] = 0.6666666666666666 * x314 * x316
result[1, 2, 4] = x231 * x301
result[1, 2, 5] = 0
result[1, 2, 6] = x169 * x317
result[1, 2, 7] = x318 * x320
result[1, 2, 8] = x173 * x306
result[1, 2, 9] = 0
result[1, 2, 10] = x180 * x321
result[1, 2, 11] = x181 * x317
result[1, 2, 12] = x185 * x322 * x323
result[1, 2, 13] = x185 * x325
result[1, 2, 14] = 0
result[1, 3, 0] = x219 * x327
result[1, 3, 1] = x107 * x329 * x75
result[1, 3, 2] = x331 * x332
result[1, 3, 3] = x198 * x334
result[1, 3, 4] = x200 * x335
result[1, 3, 5] = x289 * x336
result[1, 3, 6] = x206 * x340
result[1, 3, 7] = x341 * x61
result[1, 3, 8] = x14 * x329 * x80
result[1, 3, 9] = x235 * x344
result[1, 3, 10] = x212 * (x1 * (x202 + 5.0 * x302 + 3.0 * x333 + x345) + x340 * x42)
result[1, 3, 11] = x214 * x340
result[1, 3, 12] = x13 * x334 * x69
result[1, 3, 13] = x216 * x329
result[1, 3, 14] = x346 * x347
result[1, 4, 0] = x292 * x348
result[1, 4, 1] = x222 * x295
result[1, 4, 2] = x221 * x349
result[1, 4, 3] = x225 * x300 * x60
result[1, 4, 4] = x226 * x295
result[1, 4, 5] = x182 * x350
result[1, 4, 6] = x229 * x310
result[1, 4, 7] = x231 * x351
result[1, 4, 8] = x232 * x295
result[1, 4, 9] = x234 * x325
result[1, 4, 10] = x236 * x309
result[1, 4, 11] = x238 * x304
result[1, 4, 12] = x239 * x300
result[1, 4, 13] = x177 * x237 * x295
result[1, 4, 14] = x353
result[1, 5, 0] = 0
result[1, 5, 1] = x247 * x53
result[1, 5, 2] = 0
result[1, 5, 3] = x196 * x354 * x71
result[1, 5, 4] = x252 * x53
result[1, 5, 5] = 0
result[1, 5, 6] = x14 * x246 * x281
result[1, 5, 7] = x356
result[1, 5, 8] = x262 * x358
result[1, 5, 9] = 0
result[1, 5, 10] = x266 * x286
result[1, 5, 11] = x249 * x268 * x281
result[1, 5, 12] = x274 * x360
result[1, 5, 13] = x361
result[1, 5, 14] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x273
result[2, 0, 3] = 0
result[2, 0, 4] = x362 * x64
result[2, 0, 5] = x278 * x363
result[2, 0, 6] = 0
result[2, 0, 7] = x66 * x78
result[2, 0, 8] = x284
result[2, 0, 9] = x367 * x86
result[2, 0, 10] = 0
result[2, 0, 11] = x256 * x368
result[2, 0, 12] = x369 * x95
result[2, 0, 13] = x370 * x96
result[2, 0, 14] = x101 * x371 * x88
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x102 * x297 * x312
result[2, 1, 3] = 0
result[2, 1, 4] = 0.3333333333333333 * x126 * x372
result[2, 1, 5] = x103 * x20 * x373
result[2, 1, 6] = 0
result[2, 1, 7] = x133 * x172 * x66
result[2, 1, 8] = x135 * x319 * x82
result[2, 1, 9] = x137 * x374
result[2, 1, 10] = 0
result[2, 1, 11] = x11 * x376
result[2, 1, 12] = x11 * x373 * x377
result[2, 1, 13] = x115 * x12 * x374
result[2, 1, 14] = x151 * x371
result[2, 2, 0] = x293
result[2, 2, 1] = x297 * x312 * x42
result[2, 2, 2] = x159 * x379
result[2, 2, 3] = x160 * x66
result[2, 2, 4] = x162 * x380
result[2, 2, 5] = x167 * x20 * x384
result[2, 2, 6] = x168 * x385
result[2, 2, 7] = x170 * x380
result[2, 2, 8] = x171 * x386
result[2, 2, 9] = x158 * x18 * x389
result[2, 2, 10] = x140 * x390
result[2, 2, 11] = x168 * x391
result[2, 2, 12] = x12 * x384 * x77
result[2, 2, 13] = x186 * x392
result[2, 2, 14] = x150 * x394
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x193 * x44 * x66
result[2, 3, 3] = 0
result[2, 3, 4] = x199 * x60 * x66
result[2, 3, 5] = x201 * x369
result[2, 3, 6] = 0
result[2, 3, 7] = x208 * x362
result[2, 3, 8] = x396
result[2, 3, 9] = x209 * x370
result[2, 3, 10] = 0
result[2, 3, 11] = x397
result[2, 3, 12] = x274 * x398
result[2, 3, 13] = x192 * x268 * x366
result[2, 3, 14] = x189 * x218 * x371
result[2, 4, 0] = x1 * x220
result[2, 4, 1] = x221 * x372
result[2, 4, 2] = x223 * x379
result[2, 4, 3] = x224 * x399
result[2, 4, 4] = x115 * x196 * x380
result[2, 4, 5] = x227 * x384 * x60
result[2, 4, 6] = x138 * x205 * x375
result[2, 4, 7] = x230 * x380 * x56
result[2, 4, 8] = x115 * x14 * x386
result[2, 4, 9] = x235 * x392
result[2, 4, 10] = x400
result[2, 4, 11] = x132 * x237 * x379
result[2, 4, 12] = x224 * x401
result[2, 4, 13] = x115 * x237 * x389
result[2, 4, 14] = x242 * x394
result[2, 5, 0] = x326 * x348 * x39
result[2, 5, 1] = 0.1333333333333333 * x330 * x402
result[2, 5, 2] = x107 * x251 * x404
result[2, 5, 3] = 0.2222222222222222 * x104 * x378 * x57
result[2, 5, 4] = x104 * x404 * x60 * x79
result[2, 5, 5] = x255 * x406
result[2, 5, 6] = x229 * x343 * x407
result[2, 5, 7] = x258 * x404
result[2, 5, 8] = x259 * x262 * x406
result[2, 5, 9] = x4 * x412 * x44
result[2, 5, 10] = x228 * x413
result[2, 5, 11] = x268 * x404 * x72
result[2, 5, 12] = x269 * x406
result[2, 5, 13] = x412 * x45
result[2, 5, 14] = x271 * (x1 * (x263 + 5.0 * x387 + 3.0 * x405 + x414) + x411 * x48)
result[3, 0, 0] = x40 * (x1 * (x30 + x422 + 3.0 * x423 + 5.0 * x424) + x4 * x430)
result[3, 0, 1] = x431 * x45
result[3, 0, 2] = x431 * x49
result[3, 0, 3] = x428 * x59
result[3, 0, 4] = x432 * x61
result[3, 0, 5] = x428 * x51 * x69
result[3, 0, 6] = x433 * x72 * x75
result[3, 0, 7] = x433 * x76 * x77
result[3, 0, 8] = x433 * x79 * x80
result[3, 0, 9] = x434 * x84
result[3, 0, 10] = x11 * x413
result[3, 0, 11] = x11 * x332 * x407
result[3, 0, 12] = x289 * x435
result[3, 0, 13] = x186 * x344
result[3, 0, 14] = x185 * x346
result[3, 1, 0] = x103 * x442
result[3, 1, 1] = x115 * x118 * x440
result[3, 1, 2] = x121 * x443
result[3, 1, 3] = x124 * x125 * x420
result[3, 1, 4] = x115 * x134 * x420
result[3, 1, 5] = x113 * x420 * x80
result[3, 1, 6] = x118 * x132 * x418
result[3, 1, 7] = x134 * x444
result[3, 1, 8] = x136 * x445
result[3, 1, 9] = x139 * x446
result[3, 1, 10] = x400
result[3, 1, 11] = x132 * x138 * x204 * x276
result[3, 1, 12] = x447 * x80
result[3, 1, 13] = x139 * x448
result[3, 1, 14] = x242 * x311
result[3, 2, 0] = x153 * x442
result[3, 2, 1] = x154 * x443
result[3, 2, 2] = x157 * x158 * x440
result[3, 2, 3] = x155 * x420 * x77
result[3, 2, 4] = x231 * x449
result[3, 2, 5] = x165 * x167 * x420
result[3, 2, 6] = x168 * x450
result[3, 2, 7] = x161 * x451
result[3, 2, 8] = x173 * x452
result[3, 2, 9] = x158 * x177 * x418
result[3, 2, 10] = x236 * x390
result[3, 2, 11] = x168 * x453
result[3, 2, 12] = x16 * x183
result[3, 2, 13] = x325 * x454
result[3, 2, 14] = x353
result[3, 3, 0] = x189 * x455 * x91
result[3, 3, 1] = x192 * x439 * x75
result[3, 3, 2] = x189 * x456 * x93
result[3, 3, 3] = x208 * x275
result[3, 3, 4] = x396
result[3, 3, 5] = x289 * x457
result[3, 3, 6] = x397
result[3, 3, 7] = x398 * x60
result[3, 3, 8] = x458 * x80
result[3, 3, 9] = x459 * x97
result[3, 3, 10] = 0
result[3, 3, 11] = 0
result[3, 3, 12] = 0
result[3, 3, 13] = 0
result[3, 3, 14] = 0
result[3, 4, 0] = x111 * x152 * x460
result[3, 4, 1] = x115 * x155 * x461
result[3, 4, 2] = x113 * x157 * x461
result[3, 4, 3] = x229 * x323 * x377
result[3, 4, 4] = x320 * x462
result[3, 4, 5] = x165 * x235 * x323
result[3, 4, 6] = x228 * x376
result[3, 4, 7] = x231 * x447
result[3, 4, 8] = x173 * x448
result[3, 4, 9] = x325 * x347
result[3, 4, 10] = 0
result[3, 4, 11] = 0
result[3, 4, 12] = 0
result[3, 4, 13] = 0
result[3, 4, 14] = 0
result[3, 5, 0] = x245 * x455
result[3, 5, 1] = x246 * x439 * x79
result[3, 5, 2] = x249 * x251 * x439
result[3, 5, 3] = x106 * x354 * x57
result[3, 5, 4] = x356
result[3, 5, 5] = x10 * x358 * x363
result[3, 5, 6] = x16 * x257
result[3, 5, 7] = x16 * x249 * x77
result[3, 5, 8] = x360 * x60
result[3, 5, 9] = x361
result[3, 5, 10] = 0
result[3, 5, 11] = 0
result[3, 5, 12] = 0
result[3, 5, 13] = 0
result[3, 5, 14] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x465
result[4, 0, 2] = 0
result[4, 0, 3] = x1 * x432 * x466
result[4, 0, 4] = x282 * x467
result[4, 0, 5] = 0
result[4, 0, 6] = x433 * x468 * x469
result[4, 0, 7] = x471
result[4, 0, 8] = x472 * x474
result[4, 0, 9] = 0
result[4, 0, 10] = x475 * x477
result[4, 0, 11] = x469 * x478 * x479
result[4, 0, 12] = x11 * x482 * x62
result[4, 0, 13] = x185 * x480 * x483
result[4, 0, 14] = 0
result[4, 1, 0] = x486
result[4, 1, 1] = x295 * x440 * x487
result[4, 1, 2] = x282 * x489
result[4, 1, 3] = x420 * x490 * x74
result[4, 1, 4] = x420 * x491 * x492
result[4, 1, 5] = x472 * x494
result[4, 1, 6] = x304 * x418 * x487
result[4, 1, 7] = x418 * x490 * x492
result[4, 1, 8] = x418 * x491 * x68
result[4, 1, 9] = x495 * x497
result[4, 1, 10] = x499
result[4, 1, 11] = x213 * x276 * x500
result[4, 1, 12] = x501 * x502
result[4, 1, 13] = x16 * x295 * x497
result[4, 1, 14] = x484 * x503 * x99
result[4, 2, 0] = 0
result[4, 2, 1] = x316 * x489
result[4, 2, 2] = 0
result[4, 2, 3] = x316 * x420 * x470
result[4, 2, 4] = x349 * x504
result[4, 2, 5] = 0
result[4, 2, 6] = x450 * x505
result[4, 2, 7] = x418 * x507 * x71
result[4, 2, 8] = 0.5773502691896257 * x495 * x508
result[4, 2, 9] = 0
result[4, 2, 10] = x228 * x509
result[4, 2, 11] = x453 * x505
result[4, 2, 12] = x322 * x510
result[4, 2, 13] = x511
result[4, 2, 14] = 0
result[4, 3, 0] = x460 * x512
result[4, 3, 1] = x439 * x468 * x513
result[4, 3, 2] = x103 * x479 * x514
result[4, 3, 3] = x466 * x515
result[4, 3, 4] = x517
result[4, 3, 5] = x102 * x482 * x519
result[4, 3, 6] = x520
result[4, 3, 7] = x473 * x521
result[4, 3, 8] = x329 * x473 * x502
result[4, 3, 9] = x102 * x483 * x503
result[4, 3, 10] = 0
result[4, 3, 11] = 0
result[4, 3, 12] = 0
result[4, 3, 13] = 0
result[4, 3, 14] = 0
result[4, 4, 0] = x484 * x522
result[4, 4, 1] = x155 * x295 * x523
result[4, 4, 2] = x349 * x523
result[4, 4, 3] = 1.154700538379251 * x300 * x525
result[4, 4, 4] = x106 * x295 * x507
result[4, 4, 5] = x165 * x526
result[4, 4, 6] = x228 * x500 * x524
result[4, 4, 7] = x453 * x527
result[4, 4, 8] = x16 * x491 * x508
result[4, 4, 9] = x511
result[4, 4, 10] = 0
result[4, 4, 11] = 0
result[4, 4, 12] = 0
result[4, 4, 13] = 0
result[4, 4, 14] = 0
result[4, 5, 0] = 0
result[4, 5, 1] = x528 * x529 * x53
result[4, 5, 2] = 0
result[4, 5, 3] = x244 * x259 * x518 * x530
result[4, 5, 4] = x249 * x526
result[4, 5, 5] = 0
result[4, 5, 6] = x16 * x529 * x531
result[4, 5, 7] = x249 * x42 * x510
result[4, 5, 8] = x233 * x254 * x532
result[4, 5, 9] = 0
result[4, 5, 10] = 0
result[4, 5, 11] = 0
result[4, 5, 12] = 0
result[4, 5, 13] = 0
result[4, 5, 14] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x29 * x39 * x532
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x283 * x534
result[5, 0, 8] = x535 * x73
result[5, 0, 9] = 0
result[5, 0, 10] = 0
result[5, 0, 11] = x35 * x368 * x531
result[5, 0, 12] = x48 * x530 * x63 * x88
result[5, 0, 13] = x290 * x537
result[5, 0, 14] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x538
result[5, 1, 3] = 0
result[5, 1, 4] = x126 * x491 * x66
result[5, 1, 5] = x20 * x535
result[5, 1, 6] = 0
result[5, 1, 7] = x385 * x527
result[5, 1, 8] = x305 * x539
result[5, 1, 9] = x306 * x540
result[5, 1, 10] = 0
result[5, 1, 11] = x144 * x475 * x500
result[5, 1, 12] = x300 * x478 * x516
result[5, 1, 13] = x12 * x295 * x540
result[5, 1, 14] = x498 * x541
result[5, 2, 0] = 0
result[5, 2, 1] = x538
result[5, 2, 2] = 0
result[5, 2, 3] = x314 * x534
result[5, 2, 4] = x301 * x543
result[5, 2, 5] = 0
result[5, 2, 6] = x385 * x505
result[5, 2, 7] = x318 * x544
result[5, 2, 8] = x306 * x546
result[5, 2, 9] = 0
result[5, 2, 10] = x11 * x509
result[5, 2, 11] = x391 * x505
result[5, 2, 12] = x186 * x548
result[5, 2, 13] = x185 * x549
result[5, 2, 14] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x331 * x550
result[5, 3, 3] = 0
result[5, 3, 4] = x335 * x473 * x66
result[5, 3, 5] = x102 * x48 * x551 * x552
result[5, 3, 6] = 0
result[5, 3, 7] = x473 * x515
result[5, 3, 8] = x517
result[5, 3, 9] = x235 * x553
result[5, 3, 10] = 0
result[5, 3, 11] = x520
result[5, 3, 12] = x466 * x521
result[5, 3, 13] = x366 * x513 * x554
result[5, 3, 14] = x347 * x371 * x512
result[5, 4, 0] = x190 * x484 * x533
result[5, 4, 1] = x295 * x555 * x66
result[5, 4, 2] = x379 * x53 * x555
result[5, 4, 3] = x399 * x501
result[5, 4, 4] = x196 * x379 * x491
result[5, 4, 5] = x384 * x556
result[5, 4, 6] = x1 * x205 * x304 * x496
result[5, 4, 7] = x351 * x543
result[5, 4, 8] = x14 * x491 * x545
result[5, 4, 9] = x234 * x549
result[5, 4, 10] = x499
result[5, 4, 11] = x304 * x379 * x557
result[5, 4, 12] = x401 * x501
result[5, 4, 13] = x295 * x389 * x557
result[5, 4, 14] = x559
result[5, 5, 0] = 0
result[5, 5, 1] = x153 * x330 * x550
result[5, 5, 2] = 0
result[5, 5, 3] = x152 * x552 * x63
result[5, 5, 4] = x404 * x556
result[5, 5, 5] = 0
result[5, 5, 6] = 0.2309401076758503 * x469 * x525
result[5, 5, 7] = x560
result[5, 5, 8] = x234 * x562
result[5, 5, 9] = 0
result[5, 5, 10] = x1 * x228 * x477
result[5, 5, 11] = x404 * x469 * x554
result[5, 5, 12] = x359 * x563
result[5, 5, 13] = x564
result[5, 5, 14] = 0
result[6, 0, 0] = x581 * (1.570796326794897 * x1 * x2 * x31 * x34 * x36 - x565 * x579)
result[6, 0, 1] = x42 * x585 * (1.570796326794897 * x1 * x2 * x30 * x34 * x36 - x583)
result[6, 0, 2] = x48 * x585 * (1.570796326794897 * x1 * x2 * x30 * x34 * x36 - x583)
result[6, 0, 3] = (
1.0 * x590 * (x1 * x29 * x34 * x5 * x54 * x6 - x54 * x577 * x586 - x586 * x589)
)
result[6, 0, 4] = x593 * (
1.570796326794897 * x1 * x2 * x29 * x34 * x36 * x42 * x48 - x591 * x592
)
result[6, 0, 5] = (
1.0 * x590 * (x29 * x36 * x5 * x597 * x6 - x594 * x595 - x594 * x598)
)
result[6, 0, 6] = (
1.0 * x585 * (x1 * x34 * x5 * x6 * x72 * x73 - x586 * x601 - x586 * x602 * x72)
)
result[6, 0, 7] = (
1.0
* x593
* (x1 * x34 * x48 * x5 * x54 * x6 * x73 - x54 * x602 * x603 - x603 * x604)
)
result[6, 0, 8] = (
1.0 * x593 * (x36 * x42 * x5 * x597 * x6 * x73 - x594 * x605 - x594 * x606)
)
result[6, 0, 9] = (
1.0 * x585 * (-x285 * x610 + x36 * x5 * x6 * x609 * x73 - x607 * x608)
)
result[6, 0, 10] = (
1.0 * x581 * (x1 * x34 * x5 * x6 * x88 * x90 - x586 * x612 - x586 * x615)
)
result[6, 0, 11] = (
1.0 * x585 * (x1 * x34 * x48 * x5 * x6 * x72 * x88 - x603 * x616 - x603 * x617)
)
result[6, 0, 12] = 1.0 * x590 * (-x54 * x594 * x611 + x54 * x597 * x88 - x594 * x618)
result[6, 0, 13] = (
1.0 * x585 * (-x288 * x610 + x36 * x42 * x5 * x6 * x609 * x88 - x610 * x619)
)
result[6, 0, 14] = (
1.0 * x581 * (-x100 * x622 + x36 * x5 * x6 * x621 * x88 - x607 * x620)
)
result[6, 1, 0] = (
x102 * x627 * (1.570796326794897 * x1 * x109 * x2 * x34 * x36 - x626)
)
result[6, 1, 1] = (
1.0 * x630 * (x1 * x108 * x115 * x34 * x5 * x6 - x586 * x628 - x586 * x629)
)
result[6, 1, 2] = (
x48 * x630 * (1.570796326794897 * x1 * x102 * x108 * x2 * x34 * x36 - x582 * x631)
)
result[6, 1, 3] = (
1.0 * x593 * (x1 * x124 * x20 * x34 * x5 * x6 - x124 * x568 * x586 - x586 * x635)
)
result[6, 1, 4] = (
1.0 * x638 * (x1 * x115 * x20 * x34 * x48 * x5 * x6 - x603 * x636 - x603 * x637)
)
result[6, 1, 5] = (
1.0 * x593 * (x102 * x20 * x36 * x5 * x597 * x6 - x594 * x639 - x594 * x640)
)
result[6, 1, 6] = (
1.0 * x630 * (x1 * x132 * x18 * x34 * x5 * x6 - x132 * x416 * x586 - x586 * x644)
)
result[6, 1, 7] = (
1.0
* x638
* (x1 * x124 * x18 * x34 * x48 * x5 * x6 - x124 * x416 * x603 - x603 * x645)
)
result[6, 1, 8] = 1.0 * x638 * (x115 * x18 * x597 - x115 * x416 * x594 - x594 * x646)
result[6, 1, 9] = (
1.0
* x630
* (x102 * x18 * x36 * x5 * x6 * x609 - x113 * x416 * x610 - x610 * x647)
)
result[6, 1, 10] = x627 * (
1.570796326794897 * x1 * x10 * x141 * x2 * x34 * x8 - x11 * x651
)
result[6, 1, 11] = x630 * (
1.570796326794897 * x1 * x10 * x132 * x2 * x34 * x48 * x8 - x652 * x653
)
result[6, 1, 12] = (
1.0 * x593 * (x10 * x124 * x5 * x597 * x6 * x8 - x124 * x417 * x594 - x594 * x654)
)
result[6, 1, 13] = (
1.0 * x630 * (x10 * x115 * x5 * x6 * x609 * x8 - x610 * x655 - x610 * x656)
)
result[6, 1, 14] = x627 * x659 * (-x311 + x621)
result[6, 2, 0] = (
x152 * x627 * (1.570796326794897 * x1 * x109 * x2 * x34 * x36 - x626)
)
result[6, 2, 1] = x630 * (
1.570796326794897 * x1 * x108 * x152 * x2 * x34 * x36 * x42 - x591 * x660
)
result[6, 2, 2] = (
1.0 * x630 * (x1 * x108 * x36 * x381 * x5 * x6 - x661 * x662 - x661 * x663)
)
result[6, 2, 3] = (
1.0
* x593
* (x1 * x152 * x20 * x34 * x5 * x54 * x6 - x54 * x568 * x664 - x664 * x665)
)
result[6, 2, 4] = (
1.0 * x638 * (x1 * x20 * x36 * x381 * x42 * x5 * x6 - x661 * x666 - x661 * x667)
)
result[6, 2, 5] = (
1.0 * x593 * (-x166 * x622 + x20 * x36 * x5 * x6 * x671 - x607 * x668)
)
result[6, 2, 6] = (
1.0
* x630
* (x1 * x152 * x18 * x34 * x5 * x6 * x72 - x416 * x664 * x72 - x664 * x672)
)
result[6, 2, 7] = (
1.0 * x638 * (x1 * x18 * x381 * x54 - x416 * x54 * x661 - x661 * x673)
)
result[6, 2, 8] = (
1.0 * x638 * (x18 * x36 * x42 * x5 * x6 * x671 - x318 * x674 - x416 * x674 * x79)
)
result[6, 2, 9] = (
1.0 * x630 * (-x177 * x416 * x607 - x178 * x622 + x18 * x36 * x5 * x6 * x677)
)
result[6, 2, 10] = x627 * (
1.570796326794897 * x1 * x10 * x152 * x2 * x34 * x8 * x90 - x652 * x678
)
result[6, 2, 11] = (
1.0
* x630
* (x1 * x10 * x381 * x5 * x6 * x72 * x8 - x417 * x661 * x72 - x661 * x679)
)
result[6, 2, 12] = (
1.0 * x593 * (x10 * x5 * x54 * x6 * x671 * x8 - x435 * x674 - x674 * x680)
)
result[6, 2, 13] = x630 * x681 * (-x324 + x677)
result[6, 2, 14] = x627 * x658 * (-x352 + x683)
result[6, 3, 0] = (
1.0 * x581 * (x1 * x189 * x190 * x34 * x5 * x6 - x189 * x586 * x686 - x586 * x685)
)
result[6, 3, 1] = (
1.0 * x585 * (x1 * x107 * x192 * x34 * x5 * x6 - x586 * x687 - x586 * x690)
)
result[6, 3, 2] = (
1.0
* x585
* (x1 * x107 * x189 * x34 * x48 * x5 * x6 - x189 * x603 * x623 - x603 * x691)
)
result[6, 3, 3] = (
1.0 * x590 * (x1 * x104 * x195 * x34 * x5 * x6 - x586 * x692 - x586 * x695)
)
result[6, 3, 4] = (
1.0 * x593 * (x1 * x104 * x192 * x34 * x48 * x5 * x6 - x603 * x696 - x603 * x697)
)
result[6, 3, 5] = 1.0 * x590 * (x104 * x189 * x597 - x594 * x698 - x594 * x699)
result[6, 3, 6] = x4 * x585 * (1.570796326794897 * x1 * x10 * x2 * x202 * x34 - x702)
result[6, 3, 7] = x593 * (
1.570796326794897 * x1 * x10 * x195 * x2 * x34 * x4 * x48 - x703 * x704
)
result[6, 3, 8] = (
1.0 * x593 * (x10 * x192 * x4 * x5 * x597 * x6 - x106 * x192 * x594 - x594 * x705)
)
result[6, 3, 9] = (
1.0 * x585 * (x10 * x189 * x4 * x5 * x6 * x609 - x457 * x610 - x610 * x706)
)
result[6, 3, 10] = x581 * (
1.570796326794897 * x1 * x10 * x2 * x210 * x34 - x650 * x707
)
result[6, 3, 11] = (
x48 * x585 * (1.570796326794897 * x1 * x10 * x2 * x202 * x34 - x702)
)
result[6, 3, 12] = (
1.0 * x590 * (x10 * x195 * x5 * x597 * x6 - x16 * x195 * x594 - x594 * x708)
)
result[6, 3, 13] = (
1.0 * x585 * (x10 * x192 * x5 * x6 * x609 - x458 * x610 - x709 * x710)
)
result[6, 3, 14] = (
1.0 * x581 * (x10 * x189 * x5 * x6 * x621 - x217 * x712 - x709 * x711)
)
result[6, 4, 0] = (
x102
* x627
* (1.570796326794897 * x1 * x152 * x190 * x2 * x34 * x36 - x582 * x713)
)
result[6, 4, 1] = (
1.0 * x630 * (x1 * x107 * x115 * x152 * x34 * x5 * x6 - x664 * x714 - x664 * x715)
)
result[6, 4, 2] = (
1.0 * x630 * (x1 * x102 * x107 * x36 * x381 * x5 * x6 - x661 * x716 - x661 * x717)
)
result[6, 4, 3] = (
1.0 * x593 * (x1 * x104 * x124 * x152 * x34 * x5 * x6 - x664 * x718 - x664 * x719)
)
result[6, 4, 4] = 1.0 * x638 * (x1 * x104 * x115 * x381 - x661 * x720 - x661 * x721)
result[6, 4, 5] = (
1.0 * x593 * (x102 * x104 * x36 * x5 * x6 * x671 - x336 * x674 - x674 * x722)
)
result[6, 4, 6] = (
x152 * x630 * (1.570796326794897 * x1 * x10 * x132 * x2 * x34 * x4 - x643 * x703)
)
result[6, 4, 7] = (
1.0
* x638
* (x1 * x10 * x124 * x381 * x4 * x5 * x6 - x106 * x124 * x661 - x661 * x723)
)
result[6, 4, 8] = (
1.0 * x638 * (x10 * x115 * x4 * x5 * x6 * x671 - x462 * x674 - x674 * x724)
)
result[6, 4, 9] = x630 * x727 * (-x324 + x677)
result[6, 4, 10] = x627 * (
1.570796326794897 * x1 * x10 * x141 * x152 * x2 * x34 - x228 * x651
)
result[6, 4, 11] = (
1.0 * x630 * (x1 * x10 * x132 * x381 * x5 * x6 - x132 * x16 * x661 - x661 * x728)
)
result[6, 4, 12] = (
1.0 * x593 * (x10 * x124 * x5 * x6 * x671 - x447 * x674 - x709 * x729)
)
result[6, 4, 13] = (
1.0 * x630 * (x10 * x115 * x5 * x6 * x677 - x240 * x712 - x709 * x730)
)
result[6, 4, 14] = x627 * x726 * (-x352 + x683)
result[6, 5, 0] = (
1.0 * x581 * (x190 * x36 * x5 * x6 * x733 - x731 * x732 - x731 * x734)
)
result[6, 5, 1] = (
1.0 * x585 * (x107 * x36 * x42 * x5 * x6 * x733 - x731 * x735 - x731 * x736)
)
result[6, 5, 2] = (
1.0 * x585 * (x107 * x36 * x5 * x6 * x739 - x250 * x622 - x607 * x737)
)
result[6, 5, 3] = 1.0 * x590 * (x104 * x54 * x733 - x54 * x573 * x731 - x731 * x740)
result[6, 5, 4] = (
1.0 * x593 * (x104 * x36 * x42 * x5 * x6 * x739 - x741 * x742 - x741 * x743)
)
result[6, 5, 5] = (
1.0 * x590 * (x104 * x36 * x5 * x6 * x746 - x607 * x744 - x622 * x747)
)
result[6, 5, 6] = (
1.0 * x585 * (x10 * x4 * x5 * x6 * x72 * x733 - x106 * x72 * x731 - x731 * x748)
)
result[6, 5, 7] = (
1.0 * x593 * (x10 * x4 * x5 * x54 * x6 * x739 - x106 * x54 * x741 - x741 * x749)
)
result[6, 5, 8] = x593 * (x259 * x725 * x746 - x260 * x750)
result[6, 5, 9] = x4 * x585 * (x752 - x753)
result[6, 5, 10] = (
1.0 * x581 * (x10 * x5 * x6 * x733 * x90 - x16 * x731 * x90 - x731 * x754)
)
result[6, 5, 11] = (
1.0 * x585 * (x10 * x5 * x6 * x72 * x739 - x267 * x712 - x709 * x755)
)
result[6, 5, 12] = (
1.0 * x590 * (x10 * x5 * x54 * x6 * x746 - x254 * x54 * x712 - x709 * x756)
)
result[6, 5, 13] = x42 * x585 * (x752 - x753)
result[6, 5, 14] = -x581 * (
x270 * x750
- x725
* (
x1 * (2.0 * x409 + 2.0 * x410 + 5.0 * x675 + 2.0 * x676 + 3.0 * x745)
+ x48 * x751
)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x465
result[7, 0, 3] = 0
result[7, 0, 4] = x467 * x757
result[7, 0, 5] = x276 * x428 * x466 * x551
result[7, 0, 6] = 0
result[7, 0, 7] = x474 * x758
result[7, 0, 8] = x471
result[7, 0, 9] = x434 * x536
result[7, 0, 10] = 0
result[7, 0, 11] = x11 * x759
result[7, 0, 12] = x148 * x760
result[7, 0, 13] = x186 * x553
result[7, 0, 14] = x512 * x541
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x1 * x103 * x489
result[7, 1, 3] = 0
result[7, 1, 4] = x372 * x504
result[7, 1, 5] = x103 * x420 * x516
result[7, 1, 6] = 0
result[7, 1, 7] = x444 * x66 * x761
result[7, 1, 8] = x445 * x539
result[7, 1, 9] = x446 * x540
result[7, 1, 10] = 0
result[7, 1, 11] = x763
result[7, 1, 12] = x764 * x765
result[7, 1, 13] = x448 * x540
result[7, 1, 14] = x102 * x371 * x558
result[7, 2, 0] = x486
result[7, 2, 1] = x489 * x757
result[7, 2, 2] = x379 * x440 * x766
result[7, 2, 3] = x494 * x758
result[7, 2, 4] = x449 * x543
result[7, 2, 5] = x384 * x493 * x85
result[7, 2, 6] = x418 * x66 * x767
result[7, 2, 7] = x451 * x542
result[7, 2, 8] = x452 * x546
result[7, 2, 9] = x389 * x418 * x766
result[7, 2, 10] = x484 * x762 * x90
result[7, 2, 11] = x16 * x379 * x767
result[7, 2, 12] = x768 * x769
result[7, 2, 13] = x454 * x549
result[7, 2, 14] = x559
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x189 * x35 * x528 * x66
result[7, 3, 3] = 0
result[7, 3, 4] = x770 * x772
result[7, 3, 5] = 0.7698003589195009 * x189 * x48 * x56 * x771
result[7, 3, 6] = 0
result[7, 3, 7] = x207 * x473 * x480
result[7, 3, 8] = x765 * x770
result[7, 3, 9] = x459 * x537
result[7, 3, 10] = 0
result[7, 3, 11] = 0
result[7, 3, 12] = 0
result[7, 3, 13] = 0
result[7, 3, 14] = 0
result[7, 4, 0] = x460 * x498
result[7, 4, 1] = x372 * x523
result[7, 4, 2] = x113 * x379 * x523
result[7, 4, 3] = x764 * x772
result[7, 4, 4] = x462 * x544
result[7, 4, 5] = x235 * x548
result[7, 4, 6] = x763
result[7, 4, 7] = x447 * x543
result[7, 4, 8] = x115 * x761 * x768
result[7, 4, 9] = x347 * x549
result[7, 4, 10] = 0
result[7, 4, 11] = 0
result[7, 4, 12] = 0
result[7, 4, 13] = 0
result[7, 4, 14] = 0
result[7, 5, 0] = x476 * x522
result[7, 5, 1] = 0.2309401076758503 * x402 * x514
result[7, 5, 2] = x404 * x528 * x85
result[7, 5, 3] = x229 * x760
result[7, 5, 4] = x560
result[7, 5, 5] = x519 * x563
result[7, 5, 6] = x228 * x759
result[7, 5, 7] = x16 * x404 * x769
result[7, 5, 8] = x454 * x562
result[7, 5, 9] = x564
result[7, 5, 10] = 0
result[7, 5, 11] = 0
result[7, 5, 12] = 0
result[7, 5, 13] = 0
result[7, 5, 14] = 0
result[8, 0, 0] = x581 * (-x1 * x31 * x774 + x579 * x773)
result[8, 0, 1] = x42 * x585 * (x775 - x776)
result[8, 0, 2] = x48 * x585 * (x775 - x776)
result[8, 0, 3] = x590 * (
0.8660254037844386 * x34 * x5 * x54 * x577 * x6 - x589 * x777
)
result[8, 0, 4] = x593 * x778 * (-x277 + x592)
result[8, 0, 5] = x590 * x779 * (x595 - x598)
result[8, 0, 6] = x585 * (
0.8660254037844386 * x34 * x5 * x6 * x602 * x72 - x601 * x777
)
result[8, 0, 7] = x593 * (
0.8660254037844386 * x34 * x48 * x5 * x54 * x6 * x602 - x604 * x780
)
result[8, 0, 8] = x593 * x779 * (x605 - x606)
result[8, 0, 9] = x585 * (-x285 * x782 + x608 * x781)
result[8, 0, 10] = x581 * x777 * (x612 - x615)
result[8, 0, 11] = x585 * x780 * (x616 - x617)
result[8, 0, 12] = x590 * (0.8660254037844386 * x54 * x611 * x67 - x618 * x779)
result[8, 0, 13] = x585 * x782 * (-x288 + x619)
result[8, 0, 14] = x581 * (-x100 * x783 + x620 * x781)
result[8, 1, 0] = x627 * (x102 * x784 - x291 * x785)
result[8, 1, 1] = x630 * x777 * (x628 - x629)
result[8, 1, 2] = x630 * (-x296 * x785 + x48 * x631 * x774)
result[8, 1, 3] = x593 * (
0.8660254037844386 * x124 * x34 * x5 * x568 * x6 - x635 * x777
)
result[8, 1, 4] = x638 * x780 * (x636 - x637)
result[8, 1, 5] = x593 * x779 * (x639 - x640)
result[8, 1, 6] = x630 * (
0.8660254037844386 * x1 * x132 * x34 * x415 * x5 * x6 - x644 * x777
)
result[8, 1, 7] = x638 * (
0.8660254037844386 * x1 * x124 * x34 * x415 * x48 * x5 * x6 - x645 * x780
)
result[8, 1, 8] = x638 * (0.8660254037844386 * x1 * x115 * x415 * x67 - x646 * x779)
result[8, 1, 9] = x630 * (
0.8660254037844386 * x1 * x102 * x36 * x415 * x5 * x6 * x83 - x647 * x782
)
result[8, 1, 10] = x627 * (
2.720699046351327 * x1 * x10 * x141 * x2 * x34 * x8 - x11 * x787
)
result[8, 1, 11] = x630 * (
2.720699046351327 * x1 * x10 * x132 * x2 * x34 * x48 * x8 - x653 * x788
)
result[8, 1, 12] = x593 * (
0.8660254037844386 * x1 * x10 * x124 * x5 * x6 * x67 * x8 - x654 * x779
)
result[8, 1, 13] = x630 * x782 * (x655 - x656)
result[8, 1, 14] = 0
result[8, 2, 0] = x152 * x627 * (-x291 * x774 + x784)
result[8, 2, 1] = x630 * x778 * (-x313 + x660)
result[8, 2, 2] = x630 * x789 * (x662 - x663)
result[8, 2, 3] = x593 * (
0.8660254037844386 * x152 * x34 * x5 * x54 * x568 * x6 - x665 * x790
)
result[8, 2, 4] = x638 * x789 * (x666 - x667)
result[8, 2, 5] = x593 * (-x166 * x783 + x668 * x781)
result[8, 2, 6] = x630 * (
0.8660254037844386 * x1 * x152 * x34 * x415 * x5 * x6 * x72 - x672 * x790
)
result[8, 2, 7] = x638 * (0.8660254037844386 * x1 * x157 * x415 * x54 - x673 * x789)
result[8, 2, 8] = x638 * (
0.8660254037844386 * x1 * x165 * x36 * x415 * x42 * x5 * x6 - x318 * x791
)
result[8, 2, 9] = x630 * (
0.8660254037844386 * x1 * x177 * x36 * x415 * x5 * x6 - x178 * x783
)
result[8, 2, 10] = x627 * (
2.720699046351327 * x1 * x10 * x152 * x2 * x34 * x8 * x90 - x678 * x788
)
result[8, 2, 11] = x630 * (
0.8660254037844386 * x1 * x10 * x157 * x5 * x6 * x72 * x8 - x679 * x789
)
result[8, 2, 12] = x593 * (
0.8660254037844386 * x1 * x10 * x165 * x5 * x54 * x6 * x8 - x680 * x791
)
result[8, 2, 13] = 0
result[8, 2, 14] = 0
result[8, 3, 0] = x581 * (
0.8660254037844386 * x189 * x34 * x5 * x6 * x686 - x685 * x777
)
result[8, 3, 1] = x585 * x777 * (x687 - x690)
result[8, 3, 2] = x585 * (
0.8660254037844386 * x189 * x34 * x48 * x5 * x6 * x623 - x691 * x780
)
result[8, 3, 3] = x590 * x777 * (x692 - x695)
result[8, 3, 4] = x593 * x780 * (x696 - x697)
result[8, 3, 5] = x590 * x779 * (x698 - x699)
result[8, 3, 6] = x4 * x585 * (2.720699046351327 * x1 * x10 * x2 * x202 * x34 - x793)
result[8, 3, 7] = (
x4 * x593 * (2.720699046351327 * x1 * x10 * x195 * x2 * x34 * x48 - x704 * x792)
)
result[8, 3, 8] = x593 * (
0.8660254037844386 * x1 * x10 * x192 * x4 * x5 * x6 * x67 - x705 * x779
)
result[8, 3, 9] = x585 * (
0.8660254037844386 * x1 * x10 * x189 * x4 * x5 * x6 * x83 - x706 * x782
)
result[8, 3, 10] = x581 * (
2.720699046351327 * x1 * x10 * x2 * x210 * x34 - x707 * x786
)
result[8, 3, 11] = (
x48 * x585 * (2.720699046351327 * x1 * x10 * x2 * x202 * x34 - x793)
)
result[8, 3, 12] = x590 * (
0.8660254037844386 * x1 * x10 * x195 * x5 * x6 * x67 - x708 * x779
)
result[8, 3, 13] = x585 * (
0.8660254037844386 * x1 * x10 * x192 * x5 * x6 * x83 - x710 * x794
)
result[8, 3, 14] = x581 * (
0.8660254037844386 * x1 * x10 * x189 * x5 * x6 * x99 - x711 * x794
)
result[8, 4, 0] = x627 * x785 * (-x348 + x713)
result[8, 4, 1] = x630 * x790 * (x714 - x715)
result[8, 4, 2] = x630 * x789 * (x716 - x717)
result[8, 4, 3] = x593 * x790 * (x718 - x719)
result[8, 4, 4] = x638 * x789 * (x720 - x721)
result[8, 4, 5] = x593 * x791 * (-x336 + x722)
result[8, 4, 6] = (
x4
* x630
* (2.720699046351327 * x1 * x10 * x132 * x152 * x2 * x34 - x228 * x643 * x786)
)
result[8, 4, 7] = x638 * (
0.8660254037844386 * x1 * x10 * x124 * x157 * x4 * x5 * x6 - x723 * x789
)
result[8, 4, 8] = x638 * x791 * (x462 - x724)
result[8, 4, 9] = 0
result[8, 4, 10] = x627 * (
2.720699046351327 * x1 * x10 * x141 * x152 * x2 * x34 - x228 * x787
)
result[8, 4, 11] = x630 * (
0.8660254037844386 * x1 * x10 * x132 * x157 * x5 * x6 - x728 * x789
)
result[8, 4, 12] = x593 * (
0.8660254037844386 * x1 * x10 * x124 * x165 * x5 * x6 - x729 * x794
)
result[8, 4, 13] = x630 * (0.8660254037844386 * x16 * x240 - x730 * x794)
result[8, 4, 14] = 0
result[8, 5, 0] = x581 * x795 * (x732 - x734)
result[8, 5, 1] = x585 * x795 * (x735 - x736)
result[8, 5, 2] = x585 * (-x250 * x783 + x737 * x781)
result[8, 5, 3] = x590 * (0.8660254037844386 * x244 * x54 * x573 - x740 * x795)
result[8, 5, 4] = x593 * x796 * (x742 - x743)
result[8, 5, 5] = x590 * (x744 * x781 - x747 * x783)
result[8, 5, 6] = x585 * (
0.8660254037844386 * x1 * x10 * x244 * x4 * x5 * x6 * x72 - x748 * x795
)
result[8, 5, 7] = x593 * (
0.8660254037844386 * x1 * x10 * x249 * x4 * x5 * x54 * x6 - x749 * x796
)
result[8, 5, 8] = 0
result[8, 5, 9] = 0
result[8, 5, 10] = x581 * (
0.8660254037844386 * x1 * x10 * x244 * x5 * x6 * x90 - x754 * x795
)
result[8, 5, 11] = x585 * (
0.8660254037844386 * x1 * x10 * x249 * x5 * x6 * x72 - x755 * x794
)
result[8, 5, 12] = x590 * (
0.8660254037844386 * x1 * x10 * x254 * x5 * x54 * x6 - x756 * x794
)
result[8, 5, 13] = 0
result[8, 5, 14] = 0
return result
[docs]
def multipole3d_sph_30(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (fs) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 10, 1), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = -x1 * (ax * A[0] + bx * B[0]) + A[0]
x3 = x2**2
x4 = 1.5 * x1
x5 = ax * bx * x1
x6 = (
5.568327996831708
* da
* db
* numpy.sqrt(x1)
* numpy.exp(-x5 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x7 = x2 * x6
x8 = x1 * x7
x9 = 3.872983346207417
x10 = 0.06666666666666667 * x9
x11 = -x1 * (ax * A[1] + bx * B[1]) + A[1]
x12 = x11 * x6
x13 = x1 * x12
x14 = 1.732050807568877
x15 = 0.5 * x1
x16 = x14 * (x15 + x3)
x17 = 0.3333333333333333 * x16
x18 = -x1 * (ax * A[2] + bx * B[2]) + A[2]
x19 = x18 * x6
x20 = x1 * x19
x21 = x11**2
x22 = x15 + x21
x23 = 0.3333333333333333 * x14
x24 = x23 * x8
x25 = x18**2
x26 = x15 + x25
x27 = x0 ** (-2.0)
x28 = x27 * x6
x29 = 0.1666666666666667 * x28
x30 = x16 * x29
x31 = x11 * x28
x32 = x2 * x23
x33 = x31 * x32
x34 = 0.5 * x2
x35 = x19 * x27
x36 = 3.0 * x1
x37 = 0.01666666666666667 * x28 * x9
x38 = x11 * x35
x39 = x23 * x38
x40 = x14 * x29
x41 = x26 * x40
x42 = x32 * x35
x43 = x22 * x40
x44 = x0 ** (-3.0)
x45 = x14 * x44
x46 = 0.2886751345948129 * x45
x47 = -x46 * x7
x48 = -x12 * x46
x49 = 0.4330127018922193 * x44
x50 = x49 * x6
x51 = -x19 * x46
x52 = x44 * x9
x53 = 0.05 * x52
x54 = 0.08333333333333333 * x45
x55 = x19 * x54
x56 = 0.1666666666666667 * x45
x57 = 0.08660254037844385 * x52
x58 = 0.1443375672974064 * x45
x59 = x19 * x58
# 90 item(s)
result[0, 0, 0] = -x10 * x8 * (x3 + x4)
result[0, 1, 0] = -x13 * x17
result[0, 2, 0] = -x17 * x20
result[0, 3, 0] = -x22 * x24
result[0, 4, 0] = -1.0 * x11 * x2 * x20
result[0, 5, 0] = -x24 * x26
result[0, 6, 0] = -x10 * x13 * (x21 + x4)
result[0, 7, 0] = -x20 * x22 * x23
result[0, 8, 0] = -x13 * x23 * x26
result[0, 9, 0] = -x10 * x20 * (x25 + x4)
result[1, 0, 0] = 0
result[1, 1, 0] = x30
result[1, 2, 0] = 0
result[1, 3, 0] = x33
result[1, 4, 0] = x34 * x35
result[1, 5, 0] = 0
result[1, 6, 0] = x37 * (6.0 * x21 + x36)
result[1, 7, 0] = x39
result[1, 8, 0] = x41
result[1, 9, 0] = 0
result[2, 0, 0] = 0
result[2, 1, 0] = 0
result[2, 2, 0] = x30
result[2, 3, 0] = 0
result[2, 4, 0] = x31 * x34
result[2, 5, 0] = x42
result[2, 6, 0] = 0
result[2, 7, 0] = x43
result[2, 8, 0] = x39
result[2, 9, 0] = x37 * (6.0 * x25 + x36)
result[3, 0, 0] = x37 * (6.0 * x3 + x36)
result[3, 1, 0] = x33
result[3, 2, 0] = x42
result[3, 3, 0] = x43
result[3, 4, 0] = 0.5 * x38
result[3, 5, 0] = x41
result[3, 6, 0] = 0
result[3, 7, 0] = 0
result[3, 8, 0] = 0
result[3, 9, 0] = 0
result[4, 0, 0] = 0
result[4, 1, 0] = x47
result[4, 2, 0] = 0
result[4, 3, 0] = x48
result[4, 4, 0] = -x19 * x49
result[4, 5, 0] = 0
result[4, 6, 0] = 0
result[4, 7, 0] = 0
result[4, 8, 0] = 0
result[4, 9, 0] = 0
result[5, 0, 0] = 0
result[5, 1, 0] = 0
result[5, 2, 0] = 0
result[5, 3, 0] = 0
result[5, 4, 0] = -x2 * x50
result[5, 5, 0] = 0
result[5, 6, 0] = 0
result[5, 7, 0] = x48
result[5, 8, 0] = x51
result[5, 9, 0] = 0
result[6, 0, 0] = x53 * x7
result[6, 1, 0] = x12 * x54
result[6, 2, 0] = x55
result[6, 3, 0] = x54 * x7
result[6, 4, 0] = 0
result[6, 5, 0] = -x56 * x7
result[6, 6, 0] = x12 * x53
result[6, 7, 0] = x55
result[6, 8, 0] = -x12 * x56
result[6, 9, 0] = -0.1 * x19 * x52
result[7, 0, 0] = 0
result[7, 1, 0] = 0
result[7, 2, 0] = x47
result[7, 3, 0] = 0
result[7, 4, 0] = -x11 * x50
result[7, 5, 0] = x51
result[7, 6, 0] = 0
result[7, 7, 0] = 0
result[7, 8, 0] = 0
result[7, 9, 0] = 0
result[8, 0, 0] = -x57 * x7
result[8, 1, 0] = -x12 * x58
result[8, 2, 0] = -x59
result[8, 3, 0] = x58 * x7
result[8, 4, 0] = 0
result[8, 5, 0] = 0
result[8, 6, 0] = x12 * x57
result[8, 7, 0] = x59
result[8, 8, 0] = 0
result[8, 9, 0] = 0
return result
[docs]
def multipole3d_sph_31(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (fp) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 10, 3), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -x2
x4 = x3 + A[0]
x5 = x3 + B[0]
x6 = x4 * x5
x7 = x4**2
x8 = 2.0 * x7
x9 = 3.0 * x1
x10 = x8 + x9
x11 = x1 * (x10 + 4.0 * x6)
x12 = -2.0 * x2 + A[0] + B[0]
x13 = x1 * x12
x14 = 2.0 * x6
x15 = x1 + x14
x16 = x15 * x4
x17 = x13 + x16
x18 = 2.0 * x4
x19 = ax * bx * x1
x20 = (
5.568327996831708
* da
* db
* numpy.exp(-x19 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x21 = numpy.sqrt(x1) * x20
x22 = 3.872983346207417 * x21
x23 = 0.01666666666666667 * x22
x24 = x1 * x23
x25 = x1 * (ax * A[1] + bx * B[1])
x26 = -x25
x27 = x26 + B[1]
x28 = x1 * x27
x29 = 1.5 * x1
x30 = x4 * (x29 + x7)
x31 = 0.06666666666666667 * x22
x32 = x30 * x31
x33 = x1 * (ax * A[2] + bx * B[2])
x34 = -x33
x35 = x34 + B[2]
x36 = x1 * x35
x37 = x26 + A[1]
x38 = 0.1666666666666667 * x37
x39 = 1.732050807568877
x40 = x17 * x39
x41 = x1 * x21
x42 = x40 * x41
x43 = 0.5 * x1
x44 = x27 * x37
x45 = x43 + x44
x46 = 0.3333333333333333 * x45
x47 = x39 * (x43 + x7)
x48 = x1**1.5 * x20
x49 = x47 * x48
x50 = 0.3333333333333333 * x21
x51 = x47 * x50
x52 = x34 + A[2]
x53 = 0.1666666666666667 * x52
x54 = x35 * x52
x55 = x43 + x54
x56 = 0.3333333333333333 * x55
x57 = x37**2
x58 = x43 + x57
x59 = x39 * x48
x60 = x58 * x59
x61 = x43 + x6
x62 = 0.3333333333333333 * x61
x63 = -2.0 * x25 + A[1] + B[1]
x64 = x1 * x63
x65 = 2.0 * x44
x66 = x1 + x65
x67 = x37 * x66
x68 = x64 + x67
x69 = x4 * x41
x70 = 0.1666666666666667 * x39
x71 = x69 * x70
x72 = x39 * x4
x73 = x50 * x72
x74 = 1.0 * x52
x75 = x21 * x55
x76 = x37 * x4
x77 = x52**2
x78 = x43 + x77
x79 = x59 * x78
x80 = -2.0 * x33 + A[2] + B[2]
x81 = x1 * x80
x82 = 2.0 * x54
x83 = x1 + x82
x84 = x52 * x83
x85 = x81 + x84
x86 = x1 * x5
x87 = x37 * (x29 + x57)
x88 = x31 * x87
x89 = 2.0 * x57
x90 = x89 + x9
x91 = x1 * (4.0 * x44 + x90)
x92 = 2.0 * x37
x93 = x50 * x86
x94 = x39 * x41
x95 = x37 * x39
x96 = x52 * (x29 + x77)
x97 = x31 * x96
x98 = 2.0 * x77
x99 = x9 + x98
x100 = x1 * (4.0 * x54 + x99)
x101 = 2.0 * x52
x102 = x0 ** (-2.0)
x103 = x102 * x22
x104 = 0.03333333333333333 * x103
x105 = -x104 * x30
x106 = x102 * x21
x107 = 0.08333333333333333 * x106
x108 = -x107 * x40
x109 = 0.1666666666666667 * x64
x110 = x106 * x47
x111 = 0.1666666666666667 * x110
x112 = x106 * x39
x113 = x112 * x62
x114 = x37 * x63
x115 = x114 + x29 + x44
x116 = x106 * x4
x117 = x116 * x70
x118 = 0.3333333333333333 * x112
x119 = -x118 * x35 * x76
x120 = 0.5 * x52
x121 = x106 * x61
x122 = 0.5 * x4
x123 = x102 * x75
x124 = 6.0 * x57 + x9
x125 = x102 * x23
x126 = x124 * x125
x127 = x65 + x9
x128 = x37 * x5
x129 = x118 * x52
x130 = -x128 * x129
x131 = x112 * x53
x132 = 0.3333333333333333 * x123
x133 = x106 * x70
x134 = x133 * x5
x135 = x107 * x39
x136 = -x135 * x85
x137 = -x104 * x96
x138 = 0.1666666666666667 * x81
x139 = 0.5 * x37
x140 = x106 * x45
x141 = x122 * x37
x142 = x27 * x4
x143 = -x129 * x142
x144 = x52 * x80
x145 = x144 + x29 + x54
x146 = -x104 * x87
x147 = -x135 * x68
x148 = x112 * x46
x149 = x112 * x38
x150 = 6.0 * x77 + x9
x151 = x125 * x150
x152 = x82 + x9
x153 = x12 * x4
x154 = x14 + x9
x155 = 6.0 * x7 + x9
x156 = x125 * x155
x157 = x39 * (x153 + x29 + x6)
x158 = x106 * x157
x159 = 0.1666666666666667 * x13
x160 = x0 ** (-3.0)
x161 = x160 * x22
x162 = 0.01443375672974064 * x161
x163 = x155 * x162
x164 = x160 * x21
x165 = 0.1443375672974064 * x164
x166 = x157 * x165
x167 = 0.2886751345948129 * x72
x168 = x164 * x167
x169 = x164 * x52
x170 = x167 * x169
x171 = 0.2886751345948129 * x95
x172 = x164 * x171
x173 = x165 * x39
x174 = x115 * x173
x175 = 0.4330127018922193 * x160
x176 = x175 * x21
x177 = x176 * x52
x178 = x173 * x78
x179 = x124 * x162
x180 = x169 * x171
x181 = x165 * x47
x182 = 0.2886751345948129 * x39
x183 = x164 * x182 * x76
x184 = 0.4330127018922193 * x4
x185 = x164 * x184
x186 = x169 * x182
x187 = x145 * x173
x188 = x150 * x162
x189 = 0.25 * x4
x190 = 15.0 * x1
x191 = 4.0 * x153 + x190 + 8.0 * x6 + x8
x192 = x154 * x4
x193 = x12 * x9 + x192
x194 = 0.03333333333333333 * x103
x195 = 0.05 * x161
x196 = x195 * x35
x197 = 2.0 * x13 - x16 + x192
x198 = 0.04166666666666666 * x112
x199 = x197 * x198
x200 = x1 + x8
x201 = 0.25 * x200
x202 = 0.25 * x10
x203 = 0.5 * x200
x204 = x1 * x59
x205 = 0.08333333333333333 * x204
x206 = 0.08333333333333333 * x164 * x35
x207 = 0.08333333333333333 * x169 * x39
x208 = x1 + x89
x209 = 0.25 * x208
x210 = 0.25 * x90
x211 = 0.5 * x208
x212 = x127 * x37
x213 = x212 + 2.0 * x64 - x67
x214 = x198 * x213
x215 = 0.25 * x37
x216 = x1 + x98
x217 = 2.0 * x99
x218 = 0.02083333333333333 * x204
x219 = x152 * x52
x220 = x135 * (-x219 + x52 * x83 - 2.0 * x81)
x221 = 4.0 * x114 + x190 + 8.0 * x44 + x89
x222 = x212 + x63 * x9
x223 = x5 * x52
x224 = 0.1 * x161
x225 = x27 * x52
x226 = x173 * x58
x227 = 0.4330127018922193 * x37
x228 = x164 * x227
x229 = 0.08660254037844385 * x161
x230 = x35 * x4
x231 = 0.07216878364870322 * x112
x232 = -x197 * x231
x233 = x35 * x37
x234 = 0.07216878364870322 * x102 * x59
x235 = x234 * x83
x236 = x213 * x231
x237 = x216 * x234
# 270 item(s)
result[0, 0, 0] = x24 * (x11 + x17 * x18)
result[0, 0, 1] = x28 * x32
result[0, 0, 2] = x32 * x36
result[0, 1, 0] = x38 * x42
result[0, 1, 1] = x46 * x49
result[0, 1, 2] = x36 * x37 * x51
result[0, 2, 0] = x42 * x53
result[0, 2, 1] = x28 * x51 * x52
result[0, 2, 2] = x49 * x56
result[0, 3, 0] = x60 * x62
result[0, 3, 1] = x68 * x71
result[0, 3, 2] = x36 * x58 * x73
result[0, 4, 0] = x37 * x41 * x61 * x74
result[0, 4, 1] = x45 * x69 * x74
result[0, 4, 2] = 1.0 * x1 * x75 * x76
result[0, 5, 0] = x62 * x79
result[0, 5, 1] = x28 * x73 * x78
result[0, 5, 2] = x71 * x85
result[0, 6, 0] = x86 * x88
result[0, 6, 1] = x24 * (x68 * x92 + x91)
result[0, 6, 2] = x36 * x88
result[0, 7, 0] = x39 * x52 * x58 * x93
result[0, 7, 1] = x53 * x68 * x94
result[0, 7, 2] = x56 * x60
result[0, 8, 0] = x78 * x93 * x95
result[0, 8, 1] = x46 * x79
result[0, 8, 2] = x38 * x85 * x94
result[0, 9, 0] = x86 * x97
result[0, 9, 1] = x28 * x97
result[0, 9, 2] = x24 * (x100 + x101 * x85)
result[1, 0, 0] = 0
result[1, 0, 1] = x105
result[1, 0, 2] = 0
result[1, 1, 0] = x108
result[1, 1, 1] = -x109 * x49
result[1, 1, 2] = -x111 * x35
result[1, 2, 0] = 0
result[1, 2, 1] = -x110 * x53
result[1, 2, 2] = 0
result[1, 3, 0] = -x113 * x37
result[1, 3, 1] = -x115 * x117
result[1, 3, 2] = x119
result[1, 4, 0] = -x120 * x121
result[1, 4, 1] = -x116 * x120 * x63
result[1, 4, 2] = -x122 * x123
result[1, 5, 0] = 0
result[1, 5, 1] = -x117 * x78
result[1, 5, 2] = 0
result[1, 6, 0] = -x126 * x5
result[1, 6, 1] = (
-0.5
* x104
* (2.0 * x1 * x92 + 2.0 * x28 + x37 * (2.0 * x114 + x127) + 2.0 * x43 * x63 + x67)
)
result[1, 6, 2] = -x126 * x35
result[1, 7, 0] = x130
result[1, 7, 1] = -x115 * x131
result[1, 7, 2] = -x132 * x95
result[1, 8, 0] = -x134 * x78
result[1, 8, 1] = -x109 * x79
result[1, 8, 2] = x136
result[1, 9, 0] = 0
result[1, 9, 1] = x137
result[1, 9, 2] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x105
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = -x110 * x38
result[2, 2, 0] = x108
result[2, 2, 1] = -x111 * x27
result[2, 2, 2] = -x138 * x49
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = -x117 * x58
result[2, 4, 0] = -x121 * x139
result[2, 4, 1] = -x122 * x140
result[2, 4, 2] = -x106 * x141 * x80
result[2, 5, 0] = -x113 * x52
result[2, 5, 1] = x143
result[2, 5, 2] = -x117 * x145
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = x146
result[2, 7, 0] = -x134 * x58
result[2, 7, 1] = x147
result[2, 7, 2] = -x138 * x60
result[2, 8, 0] = x130
result[2, 8, 1] = -x148 * x52
result[2, 8, 2] = -x145 * x149
result[2, 9, 0] = -x151 * x5
result[2, 9, 1] = -x151 * x27
result[2, 9, 2] = (
-0.5
* x104
* (
2.0 * x1 * x101
+ 2.0 * x36
+ 2.0 * x43 * x80
+ x52 * (2.0 * x144 + x152)
+ x84
)
)
result[3, 0, 0] = (
-0.5 * x104 * (2.0 * x1 * x18 + x13 + x16 + x4 * (2.0 * x153 + x154) + 2.0 * x86)
)
result[3, 0, 1] = -x156 * x27
result[3, 0, 2] = -x156 * x35
result[3, 1, 0] = -x158 * x38
result[3, 1, 1] = -x148 * x4
result[3, 1, 2] = x119
result[3, 2, 0] = -x158 * x53
result[3, 2, 1] = x143
result[3, 2, 2] = -x132 * x72
result[3, 3, 0] = -x159 * x60
result[3, 3, 1] = x147
result[3, 3, 2] = -x133 * x35 * x58
result[3, 4, 0] = -x106 * x12 * x120 * x37
result[3, 4, 1] = -x120 * x140
result[3, 4, 2] = -x123 * x139
result[3, 5, 0] = -x159 * x79
result[3, 5, 1] = -x133 * x27 * x78
result[3, 5, 2] = x136
result[3, 6, 0] = x146
result[3, 6, 1] = 0
result[3, 6, 2] = 0
result[3, 7, 0] = -x131 * x58
result[3, 7, 1] = 0
result[3, 7, 2] = 0
result[3, 8, 0] = -x149 * x78
result[3, 8, 1] = 0
result[3, 8, 2] = 0
result[3, 9, 0] = x137
result[3, 9, 1] = 0
result[3, 9, 2] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x163
result[4, 0, 2] = 0
result[4, 1, 0] = x166
result[4, 1, 1] = x168 * x63
result[4, 1, 2] = x168 * x35
result[4, 2, 0] = 0
result[4, 2, 1] = x170
result[4, 2, 2] = 0
result[4, 3, 0] = x12 * x172
result[4, 3, 1] = x174
result[4, 3, 2] = x172 * x35
result[4, 4, 0] = x12 * x177
result[4, 4, 1] = x177 * x63
result[4, 4, 2] = x175 * x75
result[4, 5, 0] = 0
result[4, 5, 1] = x178
result[4, 5, 2] = 0
result[4, 6, 0] = x179
result[4, 6, 1] = 0
result[4, 6, 2] = 0
result[4, 7, 0] = x180
result[4, 7, 1] = 0
result[4, 7, 2] = 0
result[4, 8, 0] = x178
result[4, 8, 1] = 0
result[4, 8, 2] = 0
result[4, 9, 0] = 0
result[4, 9, 1] = 0
result[4, 9, 2] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x181
result[5, 2, 0] = 0
result[5, 2, 1] = x181
result[5, 2, 2] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x183
result[5, 4, 0] = x176 * x61
result[5, 4, 1] = x185 * x63
result[5, 4, 2] = x185 * x80
result[5, 5, 0] = 0
result[5, 5, 1] = x170
result[5, 5, 2] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = x179
result[5, 7, 0] = x172 * x5
result[5, 7, 1] = x174
result[5, 7, 2] = x172 * x80
result[5, 8, 0] = x186 * x5
result[5, 8, 1] = x186 * x63
result[5, 8, 2] = x187
result[5, 9, 0] = 0
result[5, 9, 1] = x188
result[5, 9, 2] = 0
result[6, 0, 0] = -x194 * (
0.125 * x1 * x191 - 0.125 * x11 - x17 * x189 + 0.25 * x193 * x4
)
result[6, 0, 1] = -x142 * x195
result[6, 0, 2] = -x196 * x4
result[6, 1, 0] = -x199 * x37
result[6, 1, 1] = x205 * (-x127 * x201 - x202 * x66 + x203 * x66)
result[6, 1, 2] = -x206 * x95
result[6, 2, 0] = -x199 * x52
result[6, 2, 1] = -x207 * x27
result[6, 2, 2] = x205 * (x152 * x203 - x201 * x83 - x202 * x83)
result[6, 3, 0] = x205 * (-x15 * x210 + x15 * x211 - x154 * x209)
result[6, 3, 1] = -x214 * x4
result[6, 3, 2] = -x206 * x72
result[6, 4, 0] = -x169 * x215
result[6, 4, 1] = -x169 * x189
result[6, 4, 2] = x141 * x164
result[6, 5, 0] = x218 * (-x15 * x216 + x15 * x217 - x154 * x216)
result[6, 5, 1] = x142 * x164 * x70
result[6, 5, 2] = -x220 * x4
result[6, 6, 0] = -x128 * x195
result[6, 6, 1] = -x194 * (
0.125 * x1 * x221 - x215 * x68 + 0.25 * x222 * x37 - 0.125 * x91
)
result[6, 6, 2] = -x196 * x37
result[6, 7, 0] = -x207 * x5
result[6, 7, 1] = -x214 * x52
result[6, 7, 2] = x205 * (x152 * x211 - x209 * x83 - x210 * x83)
result[6, 8, 0] = x164 * x38 * x39 * x5
result[6, 8, 1] = x218 * (-x127 * x216 - x216 * x66 + x217 * x66)
result[6, 8, 2] = -x220 * x37
result[6, 9, 0] = x223 * x224
result[6, 9, 1] = x224 * x225
result[6, 9, 2] = x194 * (
0.25 * x1 * (4.0 * x144 + x190 + 8.0 * x54 + x98)
- 0.25 * x100
- x120 * x85
+ 0.5 * x52 * (x219 + x80 * x9)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x163
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x183
result[7, 2, 0] = x166
result[7, 2, 1] = x168 * x27
result[7, 2, 2] = x168 * x80
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x226
result[7, 4, 0] = x12 * x228
result[7, 4, 1] = x176 * x45
result[7, 4, 2] = x228 * x80
result[7, 5, 0] = x12 * x186
result[7, 5, 1] = x186 * x27
result[7, 5, 2] = x187
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = 0
result[7, 7, 0] = x226
result[7, 7, 1] = 0
result[7, 7, 2] = 0
result[7, 8, 0] = x180
result[7, 8, 1] = 0
result[7, 8, 2] = 0
result[7, 9, 0] = x188
result[7, 9, 1] = 0
result[7, 9, 2] = 0
result[8, 0, 0] = x194 * (
0.2165063509461096 * x1 * x191
- 0.2165063509461096 * x11
- x17 * x184
+ 0.4330127018922193 * x193 * x4
)
result[8, 0, 1] = x142 * x229
result[8, 0, 2] = x229 * x230
result[8, 1, 0] = -x232 * x37
result[8, 1, 1] = 0.4330127018922193 * x205 * (x10 * x66 - x127 * x200)
result[8, 1, 2] = x173 * x233
result[8, 2, 0] = -x232 * x52
result[8, 2, 1] = x173 * x225
result[8, 2, 2] = x235
result[8, 3, 0] = 0.4330127018922193 * x205 * (-x15 * x90 + x154 * x208)
result[8, 3, 1] = -x236 * x4
result[8, 3, 2] = -x173 * x230
result[8, 4, 0] = x169 * x227
result[8, 4, 1] = -x185 * x52
result[8, 4, 2] = 0
result[8, 5, 0] = x237
result[8, 5, 1] = 0
result[8, 5, 2] = 0
result[8, 6, 0] = -x128 * x229
result[8, 6, 1] = -x194 * (
0.2165063509461096 * x1 * x221
+ 0.4330127018922193 * x222 * x37
- x227 * x68
- 0.2165063509461096 * x91
)
result[8, 6, 2] = -x229 * x233
result[8, 7, 0] = -x173 * x223
result[8, 7, 1] = -x236 * x52
result[8, 7, 2] = -x235
result[8, 8, 0] = 0
result[8, 8, 1] = -x237
result[8, 8, 2] = 0
result[8, 9, 0] = 0
result[8, 9, 1] = 0
result[8, 9, 2] = 0
return result
[docs]
def multipole3d_sph_32(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (fd) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 10, 6), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -x2
x4 = x3 + A[0]
x5 = x3 + B[0]
x6 = x4 * x5
x7 = 4.0 * x6
x8 = x5**2
x9 = 2.0 * x8
x10 = 3.0 * x1
x11 = x10 + x9
x12 = x1 * (x11 + x7)
x13 = -2.0 * x2 + A[0] + B[0]
x14 = x1 * x13
x15 = 2.0 * x6
x16 = x1 + x15
x17 = x16 * x5
x18 = x14 + x17
x19 = 2.0 * x4
x20 = x12 + x18 * x19
x21 = x20 * x4
x22 = x16 * x4
x23 = 2.0 * x14
x24 = x17 + x22 + x23
x25 = 2.0 * x1
x26 = 2.23606797749979
x27 = ax * bx * x1
x28 = (
5.568327996831708
* da
* db
* numpy.exp(-x27 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x29 = numpy.sqrt(x1) * x28
x30 = x26 * x29
x31 = 0.01666666666666667 * x1 * x30
x32 = x1 * (ax * A[1] + bx * B[1])
x33 = -x32
x34 = x33 + B[1]
x35 = x1 * x34
x36 = 3.872983346207417
x37 = x4**2
x38 = 2.0 * x37
x39 = x10 + x38
x40 = x1 * (x39 + x7)
x41 = x14 + x22
x42 = x36 * (x19 * x41 + x40)
x43 = 0.01666666666666667 * x29
x44 = x42 * x43
x45 = x1 * (ax * A[2] + bx * B[2])
x46 = -x45
x47 = x46 + B[2]
x48 = x1 * x47
x49 = x34**2
x50 = 0.5 * x1
x51 = x49 + x50
x52 = x1**1.5 * x28
x53 = x4 * x52
x54 = x51 * x53
x55 = 1.5 * x1
x56 = x37 + x55
x57 = 0.06666666666666667 * x26
x58 = x56 * x57
x59 = x36 * x47
x60 = x4 * x56
x61 = x29 * x35
x62 = 0.06666666666666667 * x61
x63 = x47**2
x64 = x50 + x63
x65 = x53 * x64
x66 = x33 + A[1]
x67 = x1 * x66
x68 = x20 * x29
x69 = 0.08333333333333333 * x68
x70 = x34 * x66
x71 = x50 + x70
x72 = 1.732050807568877
x73 = 0.1666666666666667 * x52
x74 = x72 * x73
x75 = x41 * x74
x76 = x41 * x72
x77 = x47 * x76
x78 = x29 * x67
x79 = 0.1666666666666667 * x78
x80 = -2.0 * x32 + A[1] + B[1]
x81 = x1 * x80
x82 = 2.0 * x70
x83 = x1 + x82
x84 = x34 * x83
x85 = x81 + x84
x86 = x37 + x50
x87 = x73 * x86
x88 = x52 * x71
x89 = 0.3333333333333333 * x86
x90 = x72 * x89
x91 = x52 * x66
x92 = x64 * x91
x93 = x46 + A[2]
x94 = x1 * x93
x95 = 0.1666666666666667 * x93
x96 = x47 * x93
x97 = x50 + x96
x98 = x52 * x93
x99 = x51 * x98
x100 = x52 * x97
x101 = -2.0 * x45 + A[2] + B[2]
x102 = x1 * x101
x103 = 2.0 * x96
x104 = x1 + x103
x105 = x104 * x47
x106 = x102 + x105
x107 = x66**2
x108 = x107 + x50
x109 = x18 * x73
x110 = x66 * x83
x111 = x110 + x81
x112 = x50 + x6
x113 = x112 * x74
x114 = x112 * x52
x115 = x114 * x72
x116 = 0.3333333333333333 * x108
x117 = x116 * x47
x118 = 4.0 * x70
x119 = 2.0 * x49
x120 = x10 + x119
x121 = x1 * (x118 + x120)
x122 = 2.0 * x66
x123 = x121 + x122 * x85
x124 = x1 * x4
x125 = 0.08333333333333333 * x29
x126 = x124 * x125
x127 = 0.1666666666666667 * x4
x128 = x111 * x72
x129 = 1.0 * x112
x130 = x91 * x97
x131 = x4 * x85
x132 = 0.1666666666666667 * x29 * x94
x133 = x71 * x97
x134 = x106 * x72
x135 = x93**2
x136 = x135 + x50
x137 = 0.3333333333333333 * x136
x138 = x137 * x34
x139 = x104 * x93
x140 = x102 + x139
x141 = x140 * x72
x142 = 4.0 * x96
x143 = 2.0 * x63
x144 = x10 + x143
x145 = x1 * (x142 + x144)
x146 = 2.0 * x93
x147 = x106 * x146 + x145
x148 = x50 + x8
x149 = x148 * x91
x150 = x107 + x55
x151 = x150 * x57
x152 = x1 * x5
x153 = 2.0 * x107
x154 = x10 + x153
x155 = x1 * (x118 + x154)
x156 = x111 * x122 + x155
x157 = x36 * x43
x158 = x156 * x157
x159 = x36 * x5
x160 = x123 * x66
x161 = 2.0 * x81
x162 = x110 + x161 + x84
x163 = x148 * x98
x164 = x5 * x72
x165 = x74 * x97
x166 = x108 * x73
x167 = x136 * x73
x168 = x71 * x74
x169 = x135 + x55
x170 = x169 * x57
x171 = x169 * x93
x172 = 2.0 * x135
x173 = x10 + x172
x174 = x1 * (x142 + x173)
x175 = x140 * x146 + x174
x176 = x157 * x175
x177 = x147 * x93
x178 = 2.0 * x102
x179 = x105 + x139 + x178
x180 = x0 ** (-2.0)
x181 = x180 * x29
x182 = 0.008333333333333333 * x181
x183 = x182 * x42
x184 = x34 * x4
x185 = x180 * x30
x186 = 0.06666666666666667 * x185
x187 = x181 * x4
x188 = 0.03333333333333333 * x187 * x56
x189 = 0.04166666666666666 * x180
x190 = x189 * x68
x191 = 0.08333333333333333 * x52
x192 = x191 * x81
x193 = x125 * x180
x194 = x34 * x80
x195 = x55 + x70
x196 = x194 + x195
x197 = x1 * x87
x198 = x47 * x72
x199 = x193 * x93
x200 = x181 * x93
x201 = x200 * x34
x202 = x197 * x72
x203 = 0.1666666666666667 * x181
x204 = x18 * x66
x205 = x66 * x80
x206 = x195 + x205
x207 = x1 * x206
x208 = 0.3333333333333333 * x66
x209 = x112 * x72
x210 = x181 * x47
x211 = x50 * x80
x212 = x10 + x82
x213 = x66 * (2.0 * x194 + x212)
x214 = x211 + 0.5 * x213 + 2.0 * x35 + x67 + 0.5 * x84
x215 = x203 * x214
x216 = x4 * x72
x217 = x203 * x216
x218 = x187 * x208 * x64
x219 = x199 * x72
x220 = 0.5 * x93
x221 = 0.5 * x1
x222 = x221 * x52
x223 = x112 * x222
x224 = x203 * x93
x225 = x196 * x4
x226 = 0.5 * x53
x227 = x106 * x180
x228 = x125 * x227
x229 = x1 * x167
x230 = x141 * x193
x231 = x10 + 6.0 * x107
x232 = 0.01666666666666667 * x231
x233 = x1 * x52
x234 = x233 * x26
x235 = x232 * x234
x236 = 0.5 * x66
x237 = 2.0 * x67
x238 = 0.5 * x110 + x211 + x236 * (2.0 * x205 + x212) + x237 + x35
x239 = 0.03333333333333333 * x181
x240 = x238 * x239
x241 = x213 + x237 + 4.0 * x35
x242 = 0.03333333333333333 * x185
x243 = x148 * x200 * x208
x244 = 0.1666666666666667 * x66
x245 = x227 * x29
x246 = x189 * x29
x247 = x147 * x246
x248 = 0.03333333333333333 * x169
x249 = x171 * x186
x250 = x182 * x36
x251 = x175 * x250
x252 = x34 * x36
x253 = x193 * x76
x254 = x181 * x66
x255 = x254 * x47
x256 = x102 * x191
x257 = x34 * x72
x258 = x101 * x47
x259 = x55 + x96
x260 = x258 + x259
x261 = x1 * x166
x262 = x111 * x193
x263 = x193 * x72
x264 = x101 * x93
x265 = x259 + x264
x266 = x1 * x265
x267 = 0.3333333333333333 * x200
x268 = x267 * x4 * x51
x269 = x265 * x34
x270 = x101 * x50
x271 = x10 + x103
x272 = x93 * (2.0 * x258 + x271)
x273 = 0.5 * x105 + x270 + 0.5 * x272 + 2.0 * x48 + x94
x274 = x203 * x273
x275 = x150 * x66
x276 = x239 * x275
x277 = x156 * x250
x278 = x47 * x66
x279 = x150 * x186
x280 = x123 * x246
x281 = x203 * x66
x282 = x10 + 6.0 * x135
x283 = 0.01666666666666667 * x234
x284 = x282 * x283
x285 = 0.01666666666666667 * x181
x286 = x159 * x34
x287 = 0.5 * x93
x288 = 2.0 * x94
x289 = 0.5 * x139 + x270 + x287 * (2.0 * x264 + x271) + x288 + x48
x290 = x239 * x289
x291 = x272 + x288 + 4.0 * x48
x292 = x10 + x15
x293 = 0.5 * x4
x294 = x13 * x5
x295 = x4 * (x292 + 2.0 * x294)
x296 = 2.0 * x124
x297 = 4.0 * x152 + x295 + x296
x298 = 0.5 * x14
x299 = x13 * x4
x300 = (
0.5
* x36
* (2.0 * x152 + x22 + 2.0 * x293 * (x292 + 2.0 * x299) + 2.0 * x296 + 2.0 * x298)
)
x301 = x239 * x300
x302 = x10 + 6.0 * x37
x303 = x283 * x302
x304 = x302 * x34
x305 = 0.5 * x29 * (2.0 * x124 + 4.0 * x152 + x17 + x295 + 2.0 * x298)
x306 = x180 * x305
x307 = x55 + x6
x308 = x299 + x307
x309 = x1 * x308
x310 = 0.3333333333333333 * x187
x311 = x308 * x72
x312 = x311 * x34
x313 = x72 * x97
x314 = x294 + x307
x315 = x14 * x191
x316 = x66 * x72
x317 = x5 * x66
x318 = x71 * x72
x319 = x0 ** (-3.0)
x320 = x29 * x319
x321 = 0.02886751345948129 * x320
x322 = -x300 * x321
x323 = 0.02886751345948129 * x30 * x319
x324 = 0.01443375672974064 * x320
x325 = x324 * x59
x326 = 0.1443375672974064 * x319
x327 = -x305 * x326
x328 = x180 * x52
x329 = x328 * x80
x330 = 0.1443375672974064 * x329
x331 = x29 * x326
x332 = x198 * x331
x333 = 0.2886751345948129 * x320
x334 = x333 * x4
x335 = x333 * x64
x336 = x331 * x93
x337 = 0.5773502691896257 * x320 * x93
x338 = -x184 * x337
x339 = x333 * x66
x340 = x206 * x72
x341 = 0.1443375672974064 * x328
x342 = x13 * x341
x343 = -x214 * x331
x344 = x336 * x72
x345 = 0.4330127018922193 * x180
x346 = x13 * x345
x347 = x345 * x80
x348 = 0.07216878364870322 * x320
x349 = x136 * x72
x350 = x136 * x333
x351 = x348 * x72
x352 = -x140 * x351
x353 = x231 * x323
x354 = x321 * x36
x355 = -x238 * x354
x356 = -x317 * x337
x357 = -x351 * x41
x358 = x72 * x86
x359 = x333 * x86
x360 = x101 * x341
x361 = x216 * x331
x362 = x278 * x320
x363 = -0.5773502691896257 * x362 * x4
x364 = x101 * x345
x365 = x331 * x72
x366 = 0.4330127018922193 * x4
x367 = x333 * x93
x368 = x159 * x324
x369 = x164 * x331
x370 = x265 * x72
x371 = -x273 * x331
x372 = x282 * x323
x373 = -x289 * x354
x374 = 0.25 * x1
x375 = 15.0 * x1
x376 = x375 + 8.0 * x6
x377 = 4.0 * x294 + x376 + x9
x378 = x1 * x377
x379 = x292 * x5
x380 = x10 * x13
x381 = x379 + x380
x382 = x4 * (x19 * x381 + x378)
x383 = x292 * x4
x384 = 7.0 * x14 + x17 + x297 + x379 + x383
x385 = 0.03333333333333333 * x185
x386 = 0.25 * x4
x387 = 4.0 * x299 + x376 + x38
x388 = 0.125 * x1
x389 = x380 + x383
x390 = 0.03333333333333333 * x181
x391 = -x390 * (x386 * x389 - x386 * x41 + x387 * x388 - 0.125 * x40)
x392 = x1 + x119
x393 = 9.0 * x1
x394 = x38 + x393
x395 = x120 * x39
x396 = 0.01666666666666667 * x26
x397 = x396 * x52
x398 = x124 * x397
x399 = x184 * x320 * x59
x400 = x1 + x143
x401 = 0.25 * x400
x402 = x39 * x401
x403 = 0.1666666666666667 * x181
x404 = x403 * (0.125 * x12 + x18 * x386 - 0.125 * x378 - x381 * x386)
x405 = x389 * x83
x406 = x212 * x41
x407 = 0.1666666666666667 * x233
x408 = x407 * x72
x409 = x16 * x4 - x23 - x383
x410 = x246 * x409
x411 = x212 * x34
x412 = x10 * x80
x413 = x411 + x412
x414 = x1 + x38
x415 = 0.125 * x414
x416 = 0.125 * x39
x417 = 0.25 * x414
x418 = 0.25 * x83
x419 = 0.08333333333333333 * x52
x420 = x419 * x72
x421 = x420 * x48
x422 = x419 * x67
x423 = 0.125 * x104
x424 = x120 * x414
x425 = x419 * x94
x426 = 0.25 * x104
x427 = x271 * x47
x428 = x10 * x101
x429 = x427 + x428
x430 = x1 + x153
x431 = 0.125 * x430
x432 = 0.125 * x154
x433 = x212 * x66
x434 = x412 + x433
x435 = x16 * x434
x436 = 0.25 * x66
x437 = x375 + 8.0 * x70
x438 = x1 * (x119 + 4.0 * x194 + x437)
x439 = 0.125 * x121 - x413 * x436 + x436 * x85 - 0.125 * x438
x440 = x4 * x403
x441 = -x161 - x433 + x66 * x83
x442 = x216 * x246
x443 = x154 * x401
x444 = x124 * x419
x445 = x246 * x93
x446 = x16 * x5 - x23 - x379
x447 = x316 * x446
x448 = x16 * x212
x449 = 0.25 * x52
x450 = -x161 + x34 * x83 - x411
x451 = x193 * x216
x452 = x1 + x172
x453 = 0.02083333333333333 * x233
x454 = 0.02083333333333333 * x52 * x72
x455 = 0.125 * x140
x456 = x271 * x93
x457 = x428 + x456
x458 = 0.25 * x452
x459 = x104 * x93 - x178 - x456
x460 = x375 + 8.0 * x96
x461 = x143 + 4.0 * x258 + x460
x462 = 0.25 * x1 * x461 - x106 * x220 - 0.25 * x145 + 0.5 * x429 * x93
x463 = x1 + x9
x464 = x153 + x393
x465 = x11 * x154
x466 = x397 * x67
x467 = x153 + 4.0 * x205 + x437
x468 = x390 * (x111 * x436 + 0.125 * x155 - x388 * x467 - x434 * x436)
x469 = x159 * x362
x470 = x66 * (x122 * x413 + x438)
x471 = x241 + x411 + x433 + 7.0 * x81 + x84
x472 = x11 * x430
x473 = x154 * x463
x474 = x164 * x441
x475 = x403 * x93
x476 = x403 * x66
x477 = 0.25 * x173
x478 = x172 + x393
x479 = x52 * x94
x480 = x396 * x479
x481 = x390 * (
0.25 * x1 * (x172 + 4.0 * x264 + x460)
- x140 * x220
- 0.25 * x174
+ 0.5 * x457 * x93
)
x482 = x252 * x324
x483 = x316 * x331
x484 = x108 * x72
x485 = -x111 * x351
x486 = x108 * x333
x487 = 0.4330127018922193 * x66
x488 = 0.4330127018922193 * x1
x489 = x390 * (
0.2165063509461096 * x1 * x387
- x366 * x41
+ 0.4330127018922193 * x389 * x4
- 0.2165063509461096 * x40
)
x490 = 0.007216878364870322 * x26 * x52
x491 = x180 * x53
x492 = 0.04330127018922193 * x26 * x400
x493 = (
0.2165063509461096 * x1 * x377
- 0.2165063509461096 * x12
- x18 * x366
+ 0.4330127018922193 * x381 * x4
)
x494 = 0.03608439182435161 * x233
x495 = x494 * x72
x496 = 0.07216878364870322 * x409 * x72
x497 = 0.07216878364870322 * x52
x498 = x180 * x497
x499 = x400 * x498
x500 = x104 * x495
x501 = 0.03608439182435161 * x479
x502 = x104 * x498
x503 = x227 * x497
x504 = (
0.2165063509461096 * x121 - x413 * x487 - 0.2165063509461096 * x438 + x487 * x85
)
x505 = 0.07216878364870322 * x200
x506 = x180 * x91
x507 = 0.2165063509461096 * x104
x508 = x452 * x494
x509 = x452 * x498
x510 = x141 * x498
x511 = -x390 * (
0.2165063509461096 * x1 * x467
- x111 * x487
- 0.2165063509461096 * x155
+ x434 * x487
)
x512 = 0.01443375672974065 * x173 * x180 * x26 * x98
# 540 item(s)
result[0, 0, 0] = -x31 * (x21 + x24 * x25)
result[0, 0, 1] = -x35 * x44
result[0, 0, 2] = -x44 * x48
result[0, 0, 3] = -x54 * x58
result[0, 0, 4] = -x59 * x60 * x62
result[0, 0, 5] = -x58 * x65
result[0, 1, 0] = -x67 * x69
result[0, 1, 1] = -x71 * x75
result[0, 1, 2] = -x77 * x79
result[0, 1, 3] = -x85 * x87
result[0, 1, 4] = -x47 * x88 * x90
result[0, 1, 5] = -x89 * x92
result[0, 2, 0] = -x69 * x94
result[0, 2, 1] = -x61 * x76 * x95
result[0, 2, 2] = -x75 * x97
result[0, 2, 3] = -x89 * x99
result[0, 2, 4] = -x100 * x34 * x90
result[0, 2, 5] = -x106 * x87
result[0, 3, 0] = -x108 * x109
result[0, 3, 1] = -x111 * x113
result[0, 3, 2] = -x115 * x117
result[0, 3, 3] = -x123 * x126
result[0, 3, 4] = -x127 * x128 * x29 * x48
result[0, 3, 5] = -x116 * x65
result[0, 4, 0] = -x18 * x72 * x78 * x95
result[0, 4, 1] = -x129 * x71 * x98
result[0, 4, 2] = -x129 * x130
result[0, 4, 3] = -x131 * x132 * x72
result[0, 4, 4] = -1.0 * x133 * x53
result[0, 4, 5] = -x127 * x134 * x78
result[0, 5, 0] = -x109 * x136
result[0, 5, 1] = -x115 * x138
result[0, 5, 2] = -x113 * x140
result[0, 5, 3] = -x137 * x54
result[0, 5, 4] = -x127 * x141 * x61
result[0, 5, 5] = -x126 * x147
result[0, 6, 0] = -x149 * x151
result[0, 6, 1] = -x152 * x158
result[0, 6, 2] = -0.06666666666666667 * x150 * x159 * x47 * x78
result[0, 6, 3] = -x31 * (x160 + x162 * x25)
result[0, 6, 4] = -x158 * x48
result[0, 6, 5] = -x151 * x92
result[0, 7, 0] = -x116 * x163
result[0, 7, 1] = -x111 * x132 * x164
result[0, 7, 2] = -x100 * x116 * x164
result[0, 7, 3] = -x123 * x125 * x94
result[0, 7, 4] = -x111 * x165
result[0, 7, 5] = -x106 * x166
result[0, 8, 0] = -x137 * x149
result[0, 8, 1] = -x137 * x164 * x88
result[0, 8, 2] = -x141 * x5 * x79
result[0, 8, 3] = -x167 * x85
result[0, 8, 4] = -x140 * x168
result[0, 8, 5] = -x125 * x147 * x67
result[0, 9, 0] = -x163 * x170
result[0, 9, 1] = -x159 * x171 * x62
result[0, 9, 2] = -x152 * x176
result[0, 9, 3] = -x170 * x99
result[0, 9, 4] = -x176 * x35
result[0, 9, 5] = -x31 * (x177 + x179 * x25)
result[1, 0, 0] = 0
result[1, 0, 1] = x183
result[1, 0, 2] = 0
result[1, 0, 3] = x184 * x186 * x56
result[1, 0, 4] = x188 * x59
result[1, 0, 5] = 0
result[1, 1, 0] = x190
result[1, 1, 1] = x192 * x76
result[1, 1, 2] = x193 * x77
result[1, 1, 3] = x196 * x197
result[1, 1, 4] = x198 * x81 * x87
result[1, 1, 5] = x197 * x64
result[1, 2, 0] = 0
result[1, 2, 1] = x199 * x76
result[1, 2, 2] = 0
result[1, 2, 3] = x201 * x89
result[1, 2, 4] = x202 * x97
result[1, 2, 5] = 0
result[1, 3, 0] = x203 * x204
result[1, 3, 1] = x113 * x207
result[1, 3, 2] = x208 * x209 * x210
result[1, 3, 3] = x215 * x4
result[1, 3, 4] = x206 * x217 * x47
result[1, 3, 5] = x218
result[1, 4, 0] = x18 * x219
result[1, 4, 1] = x114 * x220 * x81
result[1, 4, 2] = x223 * x97
result[1, 4, 3] = x224 * x225 * x72
result[1, 4, 4] = x226 * x81 * x97
result[1, 4, 5] = x216 * x228
result[1, 5, 0] = 0
result[1, 5, 1] = x209 * x229
result[1, 5, 2] = 0
result[1, 5, 3] = x138 * x187
result[1, 5, 4] = x230 * x4
result[1, 5, 5] = 0
result[1, 6, 0] = x148 * x235
result[1, 6, 1] = x159 * x240
result[1, 6, 2] = x159 * x210 * x232
result[1, 6, 3] = (
0.25
* x242
* (
4.0 * x1 * x212
+ x121
+ 4.0 * x236 * x241
+ 8.0 * x236 * x85
+ 4.0 * x34 * x81
+ 4.0 * x66 * x81
)
)
result[1, 6, 4] = x240 * x59
result[1, 6, 5] = x235 * x64
result[1, 7, 0] = x243
result[1, 7, 1] = x164 * x206 * x224
result[1, 7, 2] = x164 * x181 * x208 * x97
result[1, 7, 3] = x215 * x93
result[1, 7, 4] = x165 * x207
result[1, 7, 5] = x244 * x245
result[1, 8, 0] = x148 * x229
result[1, 8, 1] = x164 * x167 * x81
result[1, 8, 2] = x230 * x5
result[1, 8, 3] = x196 * x229
result[1, 8, 4] = x141 * x192
result[1, 8, 5] = x247
result[1, 9, 0] = 0
result[1, 9, 1] = x159 * x200 * x248
result[1, 9, 2] = 0
result[1, 9, 3] = x249 * x34
result[1, 9, 4] = x251
result[1, 9, 5] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x183
result[2, 0, 3] = 0
result[2, 0, 4] = x188 * x252
result[2, 0, 5] = x186 * x47 * x60
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x253 * x66
result[2, 1, 3] = 0
result[2, 1, 4] = x202 * x71
result[2, 1, 5] = x255 * x89
result[2, 2, 0] = x190
result[2, 2, 1] = x253 * x34
result[2, 2, 2] = x256 * x76
result[2, 2, 3] = x197 * x51
result[2, 2, 4] = x102 * x257 * x87
result[2, 2, 5] = x197 * x260
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x209 * x261
result[2, 3, 3] = 0
result[2, 3, 4] = x216 * x262
result[2, 3, 5] = x117 * x187
result[2, 4, 0] = x204 * x263
result[2, 4, 1] = x223 * x71
result[2, 4, 2] = 0.5 * x102 * x112 * x91
result[2, 4, 3] = x131 * x263
result[2, 4, 4] = x102 * x226 * x71
result[2, 4, 5] = x217 * x260 * x66
result[2, 5, 0] = x18 * x224
result[2, 5, 1] = 0.3333333333333333 * x201 * x209
result[2, 5, 2] = x113 * x266
result[2, 5, 3] = x268
result[2, 5, 4] = x217 * x269
result[2, 5, 5] = x274 * x4
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = x159 * x276
result[2, 6, 3] = 0
result[2, 6, 4] = x277
result[2, 6, 5] = x278 * x279
result[2, 7, 0] = x148 * x261
result[2, 7, 1] = x164 * x262
result[2, 7, 2] = x102 * x164 * x166
result[2, 7, 3] = x280
result[2, 7, 4] = x128 * x256
result[2, 7, 5] = x260 * x261
result[2, 8, 0] = x243
result[2, 8, 1] = x164 * x267 * x71
result[2, 8, 2] = x164 * x265 * x281
result[2, 8, 3] = x224 * x85
result[2, 8, 4] = x168 * x266
result[2, 8, 5] = x274 * x66
result[2, 9, 0] = x148 * x284
result[2, 9, 1] = x282 * x285 * x286
result[2, 9, 2] = x159 * x290
result[2, 9, 3] = x284 * x51
result[2, 9, 4] = x252 * x290
result[2, 9, 5] = (
0.25
* x242
* (
4.0 * x1 * x271
+ 4.0 * x102 * x47
+ 4.0 * x102 * x93
+ 8.0 * x106 * x287
+ x145
+ 4.0 * x287 * x291
)
)
result[3, 0, 0] = (
0.25
* x242
* (
4.0 * x1 * x292
+ x12
+ 4.0 * x14 * x4
+ 4.0 * x14 * x5
+ 8.0 * x18 * x293
+ 4.0 * x293 * x297
)
)
result[3, 0, 1] = x301 * x34
result[3, 0, 2] = x301 * x47
result[3, 0, 3] = x303 * x51
result[3, 0, 4] = x285 * x304 * x59
result[3, 0, 5] = x303 * x64
result[3, 1, 0] = x244 * x306
result[3, 1, 1] = x168 * x309
result[3, 1, 2] = x198 * x281 * x308
result[3, 1, 3] = x131 * x203
result[3, 1, 4] = x198 * x310 * x71
result[3, 1, 5] = x218
result[3, 2, 0] = x306 * x95
result[3, 2, 1] = x224 * x312
result[3, 2, 2] = x165 * x309
result[3, 2, 3] = x268
result[3, 2, 4] = x310 * x313 * x34
result[3, 2, 5] = x127 * x245
result[3, 3, 0] = x261 * x314
result[3, 3, 1] = x128 * x315
result[3, 3, 2] = x14 * x166 * x198
result[3, 3, 3] = x280
result[3, 3, 4] = x198 * x262
result[3, 3, 5] = x261 * x64
result[3, 4, 0] = x224 * x314 * x316
result[3, 4, 1] = x14 * x220 * x88
result[3, 4, 2] = 0.5 * x130 * x14
result[3, 4, 3] = x219 * x85
result[3, 4, 4] = x133 * x222
result[3, 4, 5] = x228 * x316
result[3, 5, 0] = x229 * x314
result[3, 5, 1] = x14 * x167 * x257
result[3, 5, 2] = x141 * x315
result[3, 5, 3] = x229 * x51
result[3, 5, 4] = x230 * x34
result[3, 5, 5] = x247
result[3, 6, 0] = x279 * x317
result[3, 6, 1] = x277
result[3, 6, 2] = x276 * x59
result[3, 6, 3] = 0
result[3, 6, 4] = 0
result[3, 6, 5] = 0
result[3, 7, 0] = x116 * x200 * x5
result[3, 7, 1] = x111 * x219
result[3, 7, 2] = x261 * x313
result[3, 7, 3] = 0
result[3, 7, 4] = 0
result[3, 7, 5] = 0
result[3, 8, 0] = x137 * x254 * x5
result[3, 8, 1] = x229 * x318
result[3, 8, 2] = x230 * x66
result[3, 8, 3] = 0
result[3, 8, 4] = 0
result[3, 8, 5] = 0
result[3, 9, 0] = x249 * x5
result[3, 9, 1] = x201 * x248 * x36
result[3, 9, 2] = x251
result[3, 9, 3] = 0
result[3, 9, 4] = 0
result[3, 9, 5] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x322
result[4, 0, 2] = 0
result[4, 0, 3] = -x304 * x323
result[4, 0, 4] = -x302 * x325
result[4, 0, 5] = 0
result[4, 1, 0] = x327
result[4, 1, 1] = -x311 * x330
result[4, 1, 2] = -x308 * x332
result[4, 1, 3] = -x225 * x333
result[4, 1, 4] = -x198 * x334 * x80
result[4, 1, 5] = -x335 * x4
result[4, 2, 0] = 0
result[4, 2, 1] = -x311 * x336
result[4, 2, 2] = 0
result[4, 2, 3] = x338
result[4, 2, 4] = -x313 * x334
result[4, 2, 5] = 0
result[4, 3, 0] = -x314 * x339
result[4, 3, 1] = -x340 * x342
result[4, 3, 2] = -x13 * x198 * x339
result[4, 3, 3] = x343
result[4, 3, 4] = -x206 * x332
result[4, 3, 5] = -x335 * x66
result[4, 4, 0] = -x314 * x344
result[4, 4, 1] = -x346 * x80 * x98
result[4, 4, 2] = -x100 * x346
result[4, 4, 3] = -x196 * x344
result[4, 4, 4] = -x100 * x347
result[4, 4, 5] = -x134 * x348
result[4, 5, 0] = 0
result[4, 5, 1] = -x342 * x349
result[4, 5, 2] = 0
result[4, 5, 3] = -x34 * x350
result[4, 5, 4] = x352
result[4, 5, 5] = 0
result[4, 6, 0] = -x353 * x5
result[4, 6, 1] = x355
result[4, 6, 2] = -x231 * x325
result[4, 6, 3] = 0
result[4, 6, 4] = 0
result[4, 6, 5] = 0
result[4, 7, 0] = x356
result[4, 7, 1] = -x336 * x340
result[4, 7, 2] = -x313 * x339
result[4, 7, 3] = 0
result[4, 7, 4] = 0
result[4, 7, 5] = 0
result[4, 8, 0] = -x350 * x5
result[4, 8, 1] = -x330 * x349
result[4, 8, 2] = x352
result[4, 8, 3] = 0
result[4, 8, 4] = 0
result[4, 8, 5] = 0
result[4, 9, 0] = 0
result[4, 9, 1] = -x171 * x354
result[4, 9, 2] = 0
result[4, 9, 3] = 0
result[4, 9, 4] = 0
result[4, 9, 5] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = -x354 * x60
result[5, 0, 5] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x357
result[5, 1, 3] = 0
result[5, 1, 4] = -x330 * x358
result[5, 1, 5] = -x359 * x47
result[5, 2, 0] = 0
result[5, 2, 1] = x357
result[5, 2, 2] = 0
result[5, 2, 3] = -x34 * x359
result[5, 2, 4] = -x358 * x360
result[5, 2, 5] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = -x209 * x339
result[5, 3, 3] = 0
result[5, 3, 4] = -x206 * x361
result[5, 3, 5] = x363
result[5, 4, 0] = -x18 * x351
result[5, 4, 1] = -x114 * x347
result[5, 4, 2] = -x114 * x364
result[5, 4, 3] = -x225 * x365
result[5, 4, 4] = -x101 * x329 * x366
result[5, 4, 5] = -x260 * x361
result[5, 5, 0] = 0
result[5, 5, 1] = -x209 * x367
result[5, 5, 2] = 0
result[5, 5, 3] = x338
result[5, 5, 4] = -x265 * x361
result[5, 5, 5] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = -x231 * x368
result[5, 6, 3] = 0
result[5, 6, 4] = x355
result[5, 6, 5] = -x353 * x47
result[5, 7, 0] = -x148 * x339
result[5, 7, 1] = -x206 * x369
result[5, 7, 2] = -x101 * x164 * x339
result[5, 7, 3] = x343
result[5, 7, 4] = -x340 * x360
result[5, 7, 5] = -x260 * x339
result[5, 8, 0] = -x148 * x367
result[5, 8, 1] = -x164 * x367 * x80
result[5, 8, 2] = -x265 * x369
result[5, 8, 3] = -x196 * x367
result[5, 8, 4] = -x330 * x370
result[5, 8, 5] = x371
result[5, 9, 0] = 0
result[5, 9, 1] = -x282 * x368
result[5, 9, 2] = 0
result[5, 9, 3] = -x34 * x372
result[5, 9, 4] = x373
result[5, 9, 5] = 0
result[6, 0, 0] = -x385 * (0.125 * x21 + x24 * x374 - x374 * x384 - 0.125 * x382)
result[6, 0, 1] = -x252 * x391
result[6, 0, 2] = -x391 * x59
result[6, 0, 3] = x398 * (-0.5 * x39 * x392 + 0.25 * x392 * x394 + 0.25 * x395)
result[6, 0, 4] = 0.05 * x399
result[6, 0, 5] = x398 * (-0.5 * x144 * x39 + x394 * x401 + x402)
result[6, 1, 0] = -x404 * x66
result[6, 1, 1] = x408 * (0.125 * x405 + 0.125 * x406 - 0.25 * x41 * x83)
result[6, 1, 2] = -x198 * x410 * x66
result[6, 1, 3] = x407 * (x413 * x415 - 0.25 * x414 * x85 + x416 * x85)
result[6, 1, 4] = x421 * (x212 * x417 + x39 * x418 - 0.5 * x414 * x83)
result[6, 1, 5] = x422 * (-0.5 * x144 * x414 + x401 * x414 + x402)
result[6, 2, 0] = -x404 * x93
result[6, 2, 1] = -x257 * x410 * x93
result[6, 2, 2] = x408 * (-0.25 * x271 * x41 + x389 * x423 + x41 * x423)
result[6, 2, 3] = x425 * (0.25 * x39 * x392 - 0.5 * x392 * x414 + 0.25 * x424)
result[6, 2, 4] = x35 * x420 * (x104 * x417 - 0.5 * x271 * x414 + x39 * x426)
result[6, 2, 5] = x407 * (x106 * x415 + x106 * x416 - 0.25 * x414 * x429)
result[6, 3, 0] = x407 * (-0.25 * x18 * x430 + x18 * x432 + x381 * x431)
result[6, 3, 1] = x408 * (-0.25 * x111 * x16 + 0.125 * x111 * x292 + 0.125 * x435)
result[6, 3, 2] = x421 * (0.25 * x154 * x16 - 0.5 * x16 * x430 + 0.25 * x292 * x430)
result[6, 3, 3] = -x439 * x440
result[6, 3, 4] = -x441 * x442 * x47
result[6, 3, 5] = x444 * (-0.5 * x144 * x430 + x401 * x430 + x443)
result[6, 4, 0] = -x445 * x447
result[6, 4, 1] = x449 * x94 * (-0.5 * x16 * x83 + 0.25 * x292 * x83 + 0.25 * x448)
result[6, 4, 2] = x449 * x67 * (-0.5 * x16 * x271 + x16 * x426 + x292 * x426)
result[6, 4, 3] = -x442 * x450 * x93
result[6, 4, 4] = x124 * x449 * (x104 * x418 + x212 * x426 - 0.5 * x271 * x83)
result[6, 4, 5] = x451 * x66 * (x104 * x47 - x178 - x427)
result[6, 5, 0] = x453 * (-2.0 * x173 * x18 + x18 * x452 + x381 * x452)
result[6, 5, 1] = x35 * x454 * (-2.0 * x16 * x173 + x16 * x452 + x292 * x452)
result[6, 5, 2] = x408 * (x16 * x455 - 0.25 * x16 * x457 + x292 * x455)
result[6, 5, 3] = x444 * (x120 * x458 - 0.5 * x173 * x392 + x392 * x458)
result[6, 5, 4] = x34 * x451 * x459
result[6, 5, 5] = -x440 * x462
result[6, 6, 0] = x466 * (-0.5 * x154 * x463 + 0.25 * x463 * x464 + 0.25 * x465)
result[6, 6, 1] = -x159 * x468
result[6, 6, 2] = 0.05 * x469
result[6, 6, 3] = -x385 * (0.125 * x160 + x162 * x374 - x374 * x471 - 0.125 * x470)
result[6, 6, 4] = -x468 * x59
result[6, 6, 5] = x466 * (-0.5 * x144 * x154 + x401 * x464 + x443)
result[6, 7, 0] = x425 * (-0.5 * x430 * x463 + 0.25 * x472 + 0.25 * x473)
result[6, 7, 1] = -x445 * x474
result[6, 7, 2] = x152 * x420 * (x154 * x426 - 0.5 * x271 * x430 + x426 * x430)
result[6, 7, 3] = -x439 * x475
result[6, 7, 4] = x408 * (-0.25 * x111 * x271 + x111 * x423 + x423 * x434)
result[6, 7, 5] = x407 * (x106 * x431 + x106 * x432 - 0.25 * x429 * x430)
result[6, 8, 0] = x422 * (x11 * x458 - 0.5 * x173 * x463 + x458 * x463)
result[6, 8, 1] = x152 * x454 * (-2.0 * x173 * x83 + x212 * x452 + x452 * x83)
result[6, 8, 2] = x164 * x193 * x459 * x66
result[6, 8, 3] = x453 * (-2.0 * x173 * x85 + x413 * x452 + x452 * x85)
result[6, 8, 4] = x408 * (x212 * x455 + x455 * x83 - 0.25 * x457 * x83)
result[6, 8, 5] = -x462 * x476
result[6, 9, 0] = x480 * (x11 * x477 + x463 * x477 - 0.5 * x463 * x478)
result[6, 9, 1] = -0.1 * x286 * x320 * x93
result[6, 9, 2] = -x159 * x481
result[6, 9, 3] = x480 * (x120 * x477 + x392 * x477 - 0.5 * x392 * x478)
result[6, 9, 4] = -x252 * x481
result[6, 9, 5] = x385 * (
0.25 * x177
+ x179 * x221
- x221 * (7.0 * x102 + x105 + x291 + x427 + x456)
- 0.25 * x93 * (x1 * x461 + x146 * x429)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x322
result[7, 0, 3] = 0
result[7, 0, 4] = -x302 * x482
result[7, 0, 5] = -x302 * x323 * x47
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = -x308 * x483
result[7, 1, 3] = 0
result[7, 1, 4] = -x318 * x334
result[7, 1, 5] = x363
result[7, 2, 0] = x327
result[7, 2, 1] = -x312 * x331
result[7, 2, 2] = -x311 * x360
result[7, 2, 3] = -x334 * x51
result[7, 2, 4] = -x101 * x257 * x334
result[7, 2, 5] = -x260 * x334
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = -x342 * x484
result[7, 3, 3] = 0
result[7, 3, 4] = x485
result[7, 3, 5] = -x47 * x486
result[7, 4, 0] = -x314 * x483
result[7, 4, 1] = -x346 * x88
result[7, 4, 2] = -x101 * x13 * x328 * x487
result[7, 4, 3] = -x351 * x85
result[7, 4, 4] = -x364 * x88
result[7, 4, 5] = -x260 * x483
result[7, 5, 0] = -x314 * x367
result[7, 5, 1] = -x13 * x257 * x367
result[7, 5, 2] = -x342 * x370
result[7, 5, 3] = -x367 * x51
result[7, 5, 4] = -x269 * x365
result[7, 5, 5] = x371
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = -x275 * x354
result[7, 6, 3] = 0
result[7, 6, 4] = 0
result[7, 6, 5] = 0
result[7, 7, 0] = -x486 * x5
result[7, 7, 1] = x485
result[7, 7, 2] = -x360 * x484
result[7, 7, 3] = 0
result[7, 7, 4] = 0
result[7, 7, 5] = 0
result[7, 8, 0] = x356
result[7, 8, 1] = -x318 * x367
result[7, 8, 2] = -x265 * x483
result[7, 8, 3] = 0
result[7, 8, 4] = 0
result[7, 8, 5] = 0
result[7, 9, 0] = -x372 * x5
result[7, 9, 1] = -x282 * x482
result[7, 9, 2] = x373
result[7, 9, 3] = 0
result[7, 9, 4] = 0
result[7, 9, 5] = 0
result[8, 0, 0] = x385 * (
0.2165063509461096 * x21 + x24 * x488 - 0.2165063509461096 * x382 - x384 * x488
)
result[8, 0, 1] = -x252 * x489
result[8, 0, 2] = -x489 * x59
result[8, 0, 3] = x124 * x490 * (-x392 * x394 + x395)
result[8, 0, 4] = -0.08660254037844385 * x399
result[8, 0, 5] = -x491 * x492
result[8, 1, 0] = -x476 * x493
result[8, 1, 1] = x495 * (-x405 + x406)
result[8, 1, 2] = x255 * x496
result[8, 1, 3] = 0.2165063509461096 * x407 * (-x39 * x85 + x413 * x414)
result[8, 1, 4] = 0.4330127018922193 * x421 * (x212 * x414 - x39 * x83)
result[8, 1, 5] = -x499 * x66
result[8, 2, 0] = -x475 * x493
result[8, 2, 1] = x201 * x496
result[8, 2, 2] = x409 * x500
result[8, 2, 3] = x501 * (-x39 * x392 + x424)
result[8, 2, 4] = -x257 * x502
result[8, 2, 5] = -x503
result[8, 3, 0] = 0.2165063509461096 * x407 * (x154 * x18 - x381 * x430)
result[8, 3, 1] = x495 * (-x111 * x292 + x435)
result[8, 3, 2] = 0.4330127018922193 * x421 * (x154 * x16 - x292 * x430)
result[8, 3, 3] = -x440 * x504
result[8, 3, 4] = -0.07216878364870322 * x187 * x198 * x441
result[8, 3, 5] = x4 * x499
result[8, 4, 0] = x447 * x505
result[8, 4, 1] = 0.1082531754730548 * x479 * (-x292 * x83 + x448)
result[8, 4, 2] = -x506 * x507
result[8, 4, 3] = -x216 * x450 * x505
result[8, 4, 4] = x491 * x507
result[8, 4, 5] = 0
result[8, 5, 0] = x446 * x508
result[8, 5, 1] = -x257 * x509
result[8, 5, 2] = -x510
result[8, 5, 3] = x4 * x509
result[8, 5, 4] = 0
result[8, 5, 5] = 0
result[8, 6, 0] = x490 * x67 * (x463 * x464 - x465)
result[8, 6, 1] = -x159 * x511
result[8, 6, 2] = 0.08660254037844385 * x469
result[8, 6, 3] = -x385 * (
0.2165063509461096 * x160 + x162 * x488 - 0.2165063509461096 * x470 - x471 * x488
)
result[8, 6, 4] = -x511 * x59
result[8, 6, 5] = x492 * x506
result[8, 7, 0] = x501 * (-x472 + x473)
result[8, 7, 1] = -x474 * x505
result[8, 7, 2] = x164 * x502
result[8, 7, 3] = -x475 * x504
result[8, 7, 4] = -x441 * x500
result[8, 7, 5] = x503
result[8, 8, 0] = -x509 * x66
result[8, 8, 1] = x164 * x509
result[8, 8, 2] = 0
result[8, 8, 3] = -x450 * x508
result[8, 8, 4] = x510
result[8, 8, 5] = 0
result[8, 9, 0] = -x512
result[8, 9, 1] = 0
result[8, 9, 2] = 0
result[8, 9, 3] = x512
result[8, 9, 4] = 0
result[8, 9, 5] = 0
return result
[docs]
def multipole3d_sph_33(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (ff) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 10, 10), dtype=float)
x0 = ax + bx
x1 = x0 ** (-1.0)
x2 = x1 * (ax * A[0] + bx * B[0])
x3 = -x2
x4 = x3 + B[0]
x5 = -2.0 * x2 + A[0] + B[0]
x6 = x1 * x5
x7 = x3 + A[0]
x8 = x4 * x7
x9 = 2.0 * x8
x10 = x1 + x9
x11 = x10 * x4
x12 = x11 + x6
x13 = x12 * x4
x14 = 4.0 * x8
x15 = x4**2
x16 = 2.0 * x15
x17 = 3.0 * x1
x18 = x16 + x17
x19 = x1 * (x14 + x18)
x20 = x12 * x7
x21 = x19 + 2.0 * x20
x22 = x21 * x4
x23 = x10 * x7
x24 = 2.0 * x6
x25 = x11 + x23 + x24
x26 = 2.0 * x1
x27 = x25 * x26
x28 = x22 + x27
x29 = 2.0 * x7
x30 = x1 * (4.0 * x13 + 5.0 * x19 + 6.0 * x20) + x28 * x29
x31 = ax * bx * x1
x32 = (
5.568327996831708
* da
* db
* numpy.exp(-x31 * ((A[0] - B[0]) ** 2 + (A[1] - B[1]) ** 2 + (A[2] - B[2]) ** 2))
)
x33 = numpy.sqrt(x1) * x32
x34 = 0.008333333333333333 * x33
x35 = x1 * x34
x36 = x1 * (ax * A[1] + bx * B[1])
x37 = -x36
x38 = x37 + B[1]
x39 = x1 * x38
x40 = x21 * x7
x41 = x27 + x40
x42 = 2.23606797749979
x43 = 0.01666666666666667 * x42
x44 = x33 * x43
x45 = x41 * x44
x46 = x1 * (ax * A[2] + bx * B[2])
x47 = -x46
x48 = x47 + B[2]
x49 = x1 * x48
x50 = x38**2
x51 = 0.5 * x1
x52 = x50 + x51
x53 = x1**1.5 * x32
x54 = x52 * x53
x55 = x7**2
x56 = 2.0 * x55
x57 = x17 + x56
x58 = x1 * (x14 + x57)
x59 = x23 + x6
x60 = x29 * x59 + x58
x61 = x43 * x60
x62 = 3.872983346207417
x63 = 0.01666666666666667 * x62
x64 = x33 * x63
x65 = x48**2
x66 = x51 + x65
x67 = x53 * x66
x68 = 1.5 * x1
x69 = x55 + x68
x70 = 0.06666666666666667 * x7
x71 = x69 * x70
x72 = x50 + x68
x73 = x38 * x53
x74 = x72 * x73
x75 = x42 * x71
x76 = x65 + x68
x77 = x48 * x53
x78 = x76 * x77
x79 = x37 + A[1]
x80 = x1 * x79
x81 = x28 * x44
x82 = 0.08333333333333333 * x21
x83 = x38 * x79
x84 = x51 + x83
x85 = x53 * x84
x86 = x33 * x82
x87 = -2.0 * x36 + A[1] + B[1]
x88 = x1 * x87
x89 = 2.0 * x83
x90 = x1 + x89
x91 = x38 * x90
x92 = x88 + x91
x93 = 0.08333333333333333 * x53
x94 = x59 * x93
x95 = 1.732050807568877
x96 = 0.1666666666666667 * x59
x97 = x95 * x96
x98 = x67 * x79
x99 = x51 + x55
x100 = x53 * x99
x101 = 4.0 * x83
x102 = 2.0 * x50
x103 = x102 + x17
x104 = x1 * (x101 + x103)
x105 = 2.0 * x92
x106 = x104 + x105 * x38
x107 = x106 * x43
x108 = 0.1666666666666667 * x100
x109 = x48 * x92
x110 = 0.3333333333333333 * x99
x111 = x110 * x85
x112 = 0.06666666666666667 * x100
x113 = x42 * x76
x114 = x113 * x48 * x79
x115 = x47 + A[2]
x116 = x1 * x115
x117 = x115 * x39
x118 = x115 * x48
x119 = x118 + x51
x120 = x119 * x53
x121 = x115 * x96
x122 = -2.0 * x46 + A[2] + B[2]
x123 = x1 * x122
x124 = 2.0 * x118
x125 = x1 + x124
x126 = x125 * x48
x127 = x123 + x126
x128 = x115 * x42
x129 = x38 * x72
x130 = x128 * x129
x131 = x110 * x120
x132 = x127 * x38
x133 = 4.0 * x118
x134 = 2.0 * x65
x135 = x134 + x17
x136 = x1 * (x133 + x135)
x137 = 2.0 * x127
x138 = x136 + x137 * x48
x139 = x138 * x43
x140 = x79**2
x141 = x140 + x51
x142 = x141 * x53
x143 = 2.0 * x13 + x19
x144 = x143 * x43
x145 = x79 * x90
x146 = x145 + x88
x147 = x12 * x93
x148 = 0.1666666666666667 * x12
x149 = x142 * x48
x150 = x104 + x105 * x79
x151 = x51 + x8
x152 = x151 * x93
x153 = x146 * x95
x154 = 0.1666666666666667 * x151
x155 = 0.3333333333333333 * x151
x156 = x141 * x67
x157 = x150 * x38
x158 = 2.0 * x88
x159 = x145 + x158 + x91
x160 = x159 * x26
x161 = x157 + x160
x162 = x1 * x7
x163 = x162 * x44
x164 = x33 * x7
x165 = 0.08333333333333333 * x150
x166 = 0.1666666666666667 * x7
x167 = x146 * x166
x168 = x148 * x95
x169 = x92 * x95
x170 = x115 * x53
x171 = x151 * x85
x172 = x127 * x95
x173 = x53 * x79
x174 = x138 * x62
x175 = x115**2
x176 = x175 + x51
x177 = x176 * x53
x178 = x148 * x38
x179 = x115 * x125
x180 = x123 + x179
x181 = x155 * x54
x182 = x180 * x95
x183 = x115 * x137 + x136
x184 = x177 * x42
x185 = x166 * x180
x186 = 0.08333333333333333 * x183
x187 = x183 * x48
x188 = 2.0 * x123 + x126 + x179
x189 = x188 * x26
x190 = x187 + x189
x191 = x140 + x68
x192 = 0.06666666666666667 * x191
x193 = x15 + x68
x194 = x193 * x4
x195 = 2.0 * x140
x196 = x17 + x195
x197 = x1 * (x101 + x196)
x198 = 2.0 * x79
x199 = x146 * x198 + x197
x200 = x199 * x43
x201 = x15 + x51
x202 = x201 * x53
x203 = x202 * x42
x204 = x192 * x79
x205 = x204 * x48
x206 = x1 * x4
x207 = x150 * x79
x208 = x160 + x207
x209 = x208 * x44
x210 = x33 * x4
x211 = x210 * x63
x212 = x4 * x42
x213 = x38 * x92
x214 = x79 * x92
x215 = x1 * (5.0 * x104 + 4.0 * x213 + 6.0 * x214) + x161 * x198
x216 = 0.06666666666666667 * x194
x217 = 0.1666666666666667 * x202
x218 = x115 * x146
x219 = 0.3333333333333333 * x201
x220 = x120 * x219
x221 = 0.1666666666666667 * x4
x222 = x127 * x221
x223 = x119 * x93
x224 = x127 * x93
x225 = x219 * x85
x226 = x180 * x79
x227 = x221 * x92
x228 = x180 * x93
x229 = x175 + x68
x230 = 0.06666666666666667 * x229
x231 = x115 * x230
x232 = x231 * x38
x233 = 2.0 * x175
x234 = x17 + x233
x235 = x1 * (x133 + x234)
x236 = 2.0 * x115
x237 = x180 * x236 + x235
x238 = x237 * x43
x239 = x115 * x183
x240 = x189 + x239
x241 = x240 * x44
x242 = x127 * x48
x243 = x115 * x127
x244 = x1 * (5.0 * x136 + 4.0 * x242 + 6.0 * x243) + x190 * x236
x245 = x0 ** (-2.0)
x246 = x245 * x34
x247 = x246 * x42
x248 = -x247 * x41
x249 = x245 * x33
x250 = x249 * x38
x251 = x246 * x62
x252 = x251 * x60
x253 = x162 * x69
x254 = x17 + 6.0 * x50
x255 = 0.01666666666666667 * x53
x256 = x254 * x255
x257 = x249 * x7
x258 = 0.06666666666666667 * x257
x259 = -x258 * x38 * x42 * x48 * x69
x260 = 0.03333333333333333 * x42
x261 = x253 * x260
x262 = -x247 * x28
x263 = 0.04166666666666666 * x21
x264 = x53 * x88
x265 = x249 * x263
x266 = x38 * x87
x267 = x68 + x83
x268 = x266 + x267
x269 = x1 * x94
x270 = x88 * x95
x271 = x17 + x89
x272 = 2.0 * x266 + x271
x273 = 0.5 * x38
x274 = x51 * x87
x275 = 2.0 * x39
x276 = x274 + x275 + x80 + 0.5 * x91
x277 = x272 * x273 + x276
x278 = x1 * x53
x279 = x278 * x42
x280 = 0.03333333333333333 * x279
x281 = x277 * x280
x282 = 0.1666666666666667 * x67
x283 = x49 * x76
x284 = x100 * x260
x285 = x119 * x95
x286 = x254 * x43
x287 = x1 * x224
x288 = x249 * x79
x289 = x79 * x87
x290 = x267 + x289
x291 = x1 * x147
x292 = x288 * x48
x293 = x272 * x79
x294 = x276 + 0.5 * x293
x295 = 0.1666666666666667 * x294
x296 = x151 * x278
x297 = x290 * x95
x298 = x49 * x53
x299 = x67 * x80
x300 = 2.0 * x80
x301 = x300 + 4.0 * x39
x302 = x301 + x92
x303 = x293 + x302
x304 = x1 * x271
x305 = x79 * x88
x306 = x38 * x88
x307 = 0.25 * x104 + 0.5 * x214 + x304 + x305 + x306
x308 = x273 * x303 + x307
x309 = x260 * x308
x310 = x249 * x48
x311 = -x114 * x258
x312 = x143 * x251
x313 = x268 * x95
x314 = x116 * x53
x315 = x1 * x152
x316 = 0.03333333333333333 * x62
x317 = x257 * x316
x318 = 0.1666666666666667 * x120
x319 = x174 * x246
x320 = x177 * x39
x321 = 0.04166666666666666 * x183
x322 = 6.0 * x140 + x17
x323 = x255 * x322
x324 = x193 * x206
x325 = 0.5 * x79
x326 = 0.5 * x145 + x274 + x300 + x325 * (x271 + 2.0 * x289) + x39
x327 = x280 * x326
x328 = x322 * x43
x329 = x249 * x4
x330 = x303 * x325 + x307
x331 = x260 * x330
x332 = x316 * x329
x333 = 2.0 * x38
x334 = 5.0 * x1
x335 = -0.06666666666666667 * x128 * x193 * x329 * x79
x336 = x115 * x249
x337 = x1 * x120
x338 = x260 * x324
x339 = 0.1666666666666667 * x177
x340 = x1 * x228
x341 = -x190 * x247
x342 = x116 * x229
x343 = x202 * x260
x344 = x329 * x42
x345 = -x232 * x344
x346 = x251 * x4
x347 = -x240 * x247
x348 = x17 + 6.0 * x65
x349 = x255 * x348
x350 = x1 * x85
x351 = 0.08333333333333333 * x350
x352 = x59 * x95
x353 = x1 * x93
x354 = x353 * x92
x355 = x348 * x43
x356 = x123 * x53
x357 = x123 * x95
x358 = x122 * x48
x359 = x118 + x68
x360 = x358 + x359
x361 = x39 * x72
x362 = 0.1666666666666667 * x54
x363 = x124 + x17
x364 = 2.0 * x358 + x363
x365 = 0.5 * x48
x366 = x122 * x51
x367 = 2.0 * x49
x368 = x116 + 0.5 * x126 + x366 + x367
x369 = x364 * x365 + x368
x370 = x280 * x369
x371 = x142 * x49
x372 = 0.04166666666666666 * x150
x373 = x12 * x95
x374 = x79 * x95
x375 = x53 * x80
x376 = x360 * x95
x377 = x106 * x251
x378 = x7 * x92
x379 = 0.1666666666666667 * x85
x380 = x115 * x122
x381 = x359 + x380
x382 = x39 * x53
x383 = x381 * x95
x384 = x115 * x364
x385 = x368 + 0.5 * x384
x386 = 0.1666666666666667 * x385
x387 = -x130 * x258
x388 = 2.0 * x116
x389 = x388 + 4.0 * x49
x390 = x127 + x389
x391 = x384 + x390
x392 = x1 * x363
x393 = x115 * x123
x394 = x123 * x48
x395 = 0.25 * x136 + 0.5 * x243 + x392 + x393 + x394
x396 = x365 * x391 + x395
x397 = x260 * x396
x398 = x191 * x80
x399 = -x205 * x344
x400 = -x208 * x247
x401 = x146 * x353
x402 = 0.1666666666666667 * x142
x403 = x153 * x93
x404 = -x161 * x247
x405 = x17 + 6.0 * x175
x406 = x255 * x405
x407 = x405 * x43
x408 = 0.5 * x115
x409 = 0.5 * x179 + x366 + x388 + x408 * (x363 + 2.0 * x380) + x49
x410 = x280 * x409
x411 = x391 * x408 + x395
x412 = x260 * x411
x413 = 2.0 * x48
x414 = x4 * x5
x415 = x17 + x9
x416 = 2.0 * x414 + x415
x417 = x416 * x7
x418 = 2.0 * x162
x419 = 4.0 * x206 + x418
x420 = x12 + x419
x421 = x417 + x420
x422 = x4 * x421
x423 = x1 * x415
x424 = x6 * x7
x425 = x4 * x6
x426 = 2.0 * x206
x427 = 0.5 * x7
x428 = 0.25 * x19 + 0.5 * x20 + x423 + x424 + x425
x429 = x42 * (x421 * x427 + x428)
x430 = 0.03333333333333333 * x429
x431 = 0.5 * x6
x432 = x5 * x7
x433 = x206 + 0.5 * x23 + x418 + x427 * (x415 + 2.0 * x432) + x431
x434 = x280 * x433
x435 = x433 * x48
x436 = x17 + 6.0 * x55
x437 = x255 * x436
x438 = x43 * x436
x439 = 0.5 * x422 + x428
x440 = x260 * x439
x441 = 0.5 * x11 + x162 + x426 + x431
x442 = 0.5 * x417 + x441
x443 = 0.1666666666666667 * x442
x444 = x68 + x8
x445 = x432 + x444
x446 = x445 * x95
x447 = x166 * x249
x448 = 0.3333333333333333 * x162
x449 = x115 * x250
x450 = 0.5 * x4 * x416 + x441
x451 = x280 * x450
x452 = x414 + x444
x453 = 0.1666666666666667 * x452
x454 = x53 * x6
x455 = x249 * x372
x456 = x115 * x288
x457 = x453 * x95
x458 = x1 * x223
x459 = x38 * x95
x460 = x249 * x321
x461 = 6.0 * x15 + x17
x462 = x255 * x461
x463 = x43 * x461
x464 = x221 * x249
x465 = 0.3333333333333333 * x206
x466 = x33 / x0**3
x467 = 0.02886751345948129 * x466
x468 = x429 * x467
x469 = x38 * x466
x470 = 0.05773502691896257 * x42
x471 = x469 * x470
x472 = x467 * x62
x473 = x245 * x53
x474 = 0.007216878364870322 * x473
x475 = x254 * x474
x476 = x42 * x467
x477 = x476 * x48
x478 = x38 * x436 * x477
x479 = x42 * x473
x480 = 0.01443375672974064 * x479
x481 = x480 * x66
x482 = x439 * x476
x483 = 0.1443375672974064 * x442
x484 = x473 * x87
x485 = x466 * x483
x486 = 0.1443375672974064 * x473
x487 = x445 * x486
x488 = 0.1443375672974064 * x484
x489 = x466 * x7
x490 = x277 * x470
x491 = 0.2886751345948129 * x48
x492 = x489 * x491
x493 = 0.2886751345948129 * x66
x494 = x48 * x489
x495 = x470 * x494
x496 = 0.2886751345948129 * x115
x497 = x469 * x496
x498 = x120 * x245
x499 = 0.1443375672974064 * x498
x500 = x115 * x476
x501 = x254 * x500 * x7
x502 = 0.5773502691896257 * x119
x503 = x469 * x7
x504 = 0.1443375672974064 * x466
x505 = x127 * x7
x506 = x466 * x79
x507 = x470 * x506
x508 = x290 * x486
x509 = x491 * x506
x510 = x294 * x486
x511 = x5 * x95
x512 = x473 * x5
x513 = x308 * x476
x514 = x294 * x504
x515 = x48 * x507
x516 = x115 * x472
x517 = x499 * x95
x518 = x486 * x5
x519 = 0.4330127018922193 * x5
x520 = 0.07216878364870322 * x473
x521 = x127 * x520
x522 = 0.07216878364870322 * x484
x523 = 0.007216878364870322 * x466
x524 = x176 * x486
x525 = 0.2886751345948129 * x176
x526 = x180 * x520
x527 = x176 * x480
x528 = x180 * x504
x529 = 0.03608439182435161 * x183
x530 = x466 * x529
x531 = x322 * x474
x532 = x4 * x466
x533 = x326 * x470
x534 = x322 * x4 * x477
x535 = x330 * x476
x536 = x326 * x472
x537 = x461 * x500 * x79
x538 = x496 * x532
x539 = x4 * x506
x540 = x504 * x79
x541 = x115 * x532
x542 = x115 * x471
x543 = x523 * x62
x544 = x471 * x7
x545 = 0.03608439182435161 * x466
x546 = x21 * x545
x547 = x504 * x59
x548 = x486 * x99
x549 = x480 * x99
x550 = x122 * x473
x551 = 0.07216878364870322 * x550
x552 = 0.2886751345948129 * x550
x553 = x151 * x95
x554 = 0.5773502691896257 * x151
x555 = x348 * x476 * x7 * x79
x556 = x486 * x553
x557 = x472 * x7
x558 = x122 * x486
x559 = x115 * x504
x560 = x381 * x486
x561 = 0.2886751345948129 * x503
x562 = x385 * x504
x563 = x201 * x480
x564 = 0.2886751345948129 * x539
x565 = x115 * x466
x566 = x470 * x565
x567 = x396 * x476
x568 = x38 * x4 * x405 * x476
x569 = x409 * x472
x570 = x411 * x476
x571 = x4 * x415
x572 = 3.0 * x6
x573 = x571 + x572
x574 = x4 * x573
x575 = 15.0 * x1
x576 = x575 + 8.0 * x8
x577 = x16 + 4.0 * x414 + x576
x578 = x1 * x577
x579 = x29 * x573 + x578
x580 = x4 * x579
x581 = x415 * x7
x582 = x11 + x417 + x419 + x571 + x581 + 7.0 * x6
x583 = (
x1
* (
2.0 * x19
+ 4.0 * x20
+ 4.0 * x422
+ 8.0 * x423
+ 8.0 * x424
+ 8.0 * x425
+ 6.0 * x573 * x7
+ 4.0 * x574
+ 5.0 * x578
)
- x30
+ 2.0 * x7 * (x26 * x582 + x580)
)
x584 = 0.002083333333333333 * x249
x585 = 0.25 * x1
x586 = -0.25 * x1 * x582 + x25 * x585
x587 = 0.03333333333333333 * x42
x588 = -x587 * (0.125 * x40 - 0.125 * x579 * x7 + x586)
x589 = x1 + x102
x590 = 4.0 * x432 + x56 + x576
x591 = x572 + x581
x592 = x1 * x590 + x29 * x591
x593 = 0.125 * x592
x594 = 0.125 * x60
x595 = 0.25 * x60
x596 = 0.01666666666666667 * x279
x597 = 0.03333333333333333 * x62
x598 = x48 * x597
x599 = x250 * x598
x600 = x1 + x134
x601 = 9.0 * x1
x602 = x102 + x601
x603 = x57 * x602
x604 = x56 + x601
x605 = x103 * x604
x606 = x103 * x57
x607 = 0.01666666666666667 * x53
x608 = x607 * x7
x609 = x39 * x608
x610 = x589 * x604
x611 = 0.25 * x606
x612 = x57 * x589
x613 = x49 * x608
x614 = x42 * x613
x615 = 0.25 * x600
x616 = x57 * x615
x617 = x135 * x57
x618 = x42 * x609
x619 = 0.25 * x617
x620 = 0.25 * x135
x621 = 0.5 * x134 + 0.5 * x601
x622 = -x587 * (0.125 * x22 - 0.125 * x4 * x579 + x586)
x623 = 0.125 * x579
x624 = 0.125 * x21
x625 = 0.25 * x90
x626 = 0.08333333333333333 * x278
x627 = -0.125 * x1 * x577 + 0.125 * x19
x628 = (
-0.04166666666666666 * x20
+ 0.04166666666666666 * x573 * x7
- 0.1666666666666667 * x627
)
x629 = x271 * x38
x630 = x17 * x87
x631 = x629 + x630
x632 = x59 * x631
x633 = x591 * x92
x634 = 0.125 * x92
x635 = 0.3333333333333333 * x278
x636 = x591 * x90
x637 = x271 * x59
x638 = 0.1666666666666667 * x53
x639 = x49 * x638
x640 = x639 * x95
x641 = 2.0 * x135
x642 = 0.02083333333333333 * x53
x643 = x575 + 8.0 * x83
x644 = x102 + 4.0 * x266 + x643
x645 = x1 * x644
x646 = x333 * x631 + x645
x647 = x1 + x56
x648 = 0.125 * x647
x649 = 0.125 * x57
x650 = 0.25 * x647
x651 = 0.5 * x135
x652 = 0.04166666666666667 * x278
x653 = x77 * x80
x654 = 0.01666666666666667 * x653
x655 = x42 * x654
x656 = 0.25 * x363
x657 = 0.125 * x591
x658 = 0.125 * x59
x659 = 0.25 * x589
x660 = x116 * x638
x661 = x39 * x638
x662 = x661 * x95
x663 = 0.0625 * x127
x664 = x363 * x48
x665 = x122 * x17
x666 = x664 + x665
x667 = x602 * x647
x668 = x103 * x647
x669 = x117 * x607
x670 = x42 * x669
x671 = 0.25 * x125
x672 = 0.5 * x363
x673 = 8.0 * x118 + x575
x674 = x134 + 4.0 * x358 + x673
x675 = x1 * x674
x676 = x413 * x666 + x675
x677 = 2.0 * x574 + x578
x678 = x1 + x195
x679 = 0.125 * x678
x680 = 0.125 * x196
x681 = 0.25 * x678
x682 = x271 * x79
x683 = x630 + x682
x684 = x12 * x683
x685 = x146 * x573
x686 = 0.125 * x12
x687 = x198 * x631 + x645
x688 = 0.125 * x10
x689 = 0.125 * x415
x690 = 0.25 * x10
x691 = x10 * x683
x692 = x146 * x415
x693 = x196 * x615
x694 = x293 + x301 + x629 + x682 + 7.0 * x88 + x91
x695 = -0.25 * x1 * x694 + x159 * x585
x696 = -0.125 * x157 + 0.125 * x38 * x687 - x695
x697 = x257 * x587
x698 = -0.125 * x1 * x644 + 0.125 * x104
x699 = -0.25 * x214 + 0.25 * x631 * x79 - x698
x700 = 0.1666666666666667 * x257
x701 = x48 * x700
x702 = x196 * x620
x703 = x456 * x597
x704 = x573 * x90
x705 = x660 * x95
x706 = 0.125 * x125
x707 = x638 * x80
x708 = x707 * x95
x709 = x10 * x631
x710 = x415 * x92
x711 = x10 * x271
x712 = x415 * x90
x713 = x257 * x597
x714 = x115 * x713
x715 = x162 * x638
x716 = x715 * x95
x717 = 0.125 * x127
x718 = -0.25 * x1 * x674 + 0.25 * x136
x719 = x1 + x233
x720 = 0.125 * x719
x721 = 0.25 * x234
x722 = 0.0625 * x180
x723 = x115 * x363
x724 = x665 + x723
x725 = 0.5 * x234
x726 = x236 * x666 + x675
x727 = 0.25 * x719
x728 = 0.125 * x180
x729 = 0.5 * x115 * x666 - 0.5 * x243 - x718
x730 = x48 * x726
x731 = 0.5 * x1
x732 = 7.0 * x123 + x126 + x384 + x389 + x664 + x723
x733 = x731 * (x188 - x732)
x734 = 0.25 * x187 - 0.25 * x730 + x733
x735 = x16 + x601
x736 = x196 * x735
x737 = x195 + x601
x738 = x18 * x737
x739 = x18 * x196
x740 = x4 * x607
x741 = x740 * x80
x742 = x1 + x16
x743 = x195 + 4.0 * x289 + x643
x744 = x1 * x743 + x198 * x683
x745 = 0.125 * x744
x746 = 0.125 * x199
x747 = 0.25 * x742
x748 = 0.25 * x739
x749 = x196 * x742
x750 = -x587 * (0.125 * x207 - 0.125 * x687 * x79 + x695)
x751 = x329 * x598
x752 = x42 * x741
x753 = 4.0 * x38
x754 = (
x1
* (
2.0 * x104
+ 4.0 * x214
+ x303 * x753
+ 8.0 * x304
+ 8.0 * x305
+ 8.0 * x306
+ x631 * x753
+ 6.0 * x631 * x79
+ 5.0 * x645
)
- x215
+ 2.0 * x79 * (x26 * x694 + x38 * x687)
)
x755 = x678 * x735
x756 = x18 * x678
x757 = x116 * x740
x758 = x42 * x757
x759 = 0.125 * x742
x760 = 0.125 * x146
x761 = 0.1666666666666667 * x329
x762 = x115 * x761
x763 = x206 * x638
x764 = x763 * x95
x765 = x336 * x587
x766 = 0.125 * x183
x767 = x288 * x587
x768 = x18 * x721
x769 = 0.5 * x233 + 0.5 * x601
x770 = 0.125 * x237
x771 = x233 + 4.0 * x380 + x673
x772 = x1 * x771 + x236 * x724
x773 = x103 * x721
x774 = x587 * (-0.25 * x115 * x726 + 0.25 * x239 + x733)
x775 = 4.0 * x48
x776 = x480 * x52
x777 = x245 * x85
x778 = 0.1443375672974064 * x777
x779 = 0.5773502691896257 * x84
x780 = x141 * x486
x781 = x5 * x520
x782 = x150 * x545
x783 = x146 * x504
x784 = x141 * x480
x785 = x472 * x79
x786 = x778 * x95
x787 = 0.003608439182435161 * x249
x788 = 0.4330127018922193 * x1
x789 = x788 * (x25 - x582)
x790 = x587 * (0.2165063509461096 * x40 - 0.2165063509461096 * x579 * x7 + x789)
x791 = 0.2165063509461096 * x103
x792 = 0.2165063509461096 * x589
x793 = (
0.2165063509461096 * x1 * x590
- 0.2165063509461096 * x58
- 0.4330127018922193 * x59 * x7
+ 0.4330127018922193 * x591 * x7
)
x794 = x596 * x600
x795 = 0.007216878364870322 * x7
x796 = 0.04330127018922193 * x479
x797 = x600 * x796
x798 = x38 * x7
x799 = 0.04330127018922193 * x473
x800 = x135 * x48
x801 = x7 * x800
x802 = 0.2165063509461096 * x22 - 0.2165063509461096 * x580 + x789
x803 = -0.2165063509461096 * x1 * x577 + 0.2165063509461096 * x19
x804 = -0.4330127018922193 * x20 + 0.4330127018922193 * x573 * x7 - x803
x805 = 0.1666666666666667 * x804
x806 = 0.03608439182435161 * x278
x807 = 0.03608439182435161 * x53
x808 = x807 * x95
x809 = x49 * x808
x810 = -x10 * x7 + x24 + x581
x811 = -x810
x812 = x600 * x807
x813 = 0.2165063509461096 * x57
x814 = 0.4330127018922193 * x90
x815 = 0.4330127018922193 * x271
x816 = x600 * x652
x817 = x79 * x800
x818 = 0.01443375672974065 * x479
x819 = x125 * x626
x820 = 0.03608439182435161 * x382
x821 = x127 * x806
x822 = 0.007216878364870322 * x42
x823 = x125 * x278
x824 = 0.0180421959121758 * x823
x825 = 0.007216878364870323 * x479
x826 = x138 * x825
x827 = 0.2165063509461096 * x196
x828 = 0.2165063509461096 * x678
x829 = 0.4330127018922193 * x10
x830 = 0.4330127018922193 * x415
x831 = -0.4330127018922193 * x1 * x694 + x159 * x788
x832 = -0.2165063509461096 * x157 + 0.2165063509461096 * x38 * x687 - x831
x833 = -0.2165063509461096 * x1 * x644 + 0.2165063509461096 * x104
x834 = -0.4330127018922193 * x214 + 0.4330127018922193 * x631 * x79 - x833
x835 = -x145 + x158 + x682
x836 = -0.4330127018922193 * x13 + 0.4330127018922193 * x4 * x573 - x803
x837 = x116 * x808
x838 = -x10 * x4 + x24 + x571
x839 = -x838
x840 = x125 * x808
x841 = -0.4330127018922193 * x213 + 0.4330127018922193 * x38 * x631 - x833
x842 = x158 + x629 - x91
x843 = x596 * x719
x844 = x180 * x806
x845 = x652 * x719
x846 = x526 * x95
x847 = x473 * x529
x848 = x719 * x796
x849 = 0.007216878364870322 * x4
x850 = 0.2165063509461096 * x18
x851 = -x587 * (0.2165063509461096 * x207 - 0.2165063509461096 * x687 * x79 + x831)
x852 = (
0.2165063509461096 * x1 * x743
- 0.4330127018922193 * x146 * x79
- 0.2165063509461096 * x197
+ 0.4330127018922193 * x683 * x79
)
x853 = x4 * x79
x854 = x115 * x234
x855 = x799 * x854
x856 = x818 * x854
x857 = x237 * x825
# 900 item(s)
result[0, 0, 0] = x30 * x35
result[0, 0, 1] = x39 * x45
result[0, 0, 2] = x45 * x49
result[0, 0, 3] = x54 * x61
result[0, 0, 4] = x39 * x48 * x60 * x64
result[0, 0, 5] = x61 * x67
result[0, 0, 6] = x71 * x74
result[0, 0, 7] = x48 * x54 * x75
result[0, 0, 8] = x38 * x67 * x75
result[0, 0, 9] = x71 * x78
result[0, 1, 0] = x80 * x81
result[0, 1, 1] = x82 * x85
result[0, 1, 2] = x48 * x80 * x86
result[0, 1, 3] = x92 * x94
result[0, 1, 4] = x48 * x85 * x97
result[0, 1, 5] = x96 * x98
result[0, 1, 6] = x100 * x107
result[0, 1, 7] = x108 * x109
result[0, 1, 8] = x111 * x66
result[0, 1, 9] = x112 * x114
result[0, 2, 0] = x116 * x81
result[0, 2, 1] = x117 * x86
result[0, 2, 2] = x120 * x82
result[0, 2, 3] = x121 * x54
result[0, 2, 4] = x120 * x38 * x97
result[0, 2, 5] = x127 * x94
result[0, 2, 6] = x112 * x130
result[0, 2, 7] = x131 * x52
result[0, 2, 8] = x108 * x132
result[0, 2, 9] = x100 * x139
result[0, 3, 0] = x142 * x144
result[0, 3, 1] = x146 * x147
result[0, 3, 2] = x148 * x149
result[0, 3, 3] = x150 * x152
result[0, 3, 4] = x153 * x154 * x77
result[0, 3, 5] = x155 * x156
result[0, 3, 6] = x161 * x163
result[0, 3, 7] = x164 * x165 * x49
result[0, 3, 8] = x167 * x67
result[0, 3, 9] = x113 * x149 * x70
result[0, 4, 0] = x115 * x143 * x64 * x80
result[0, 4, 1] = x115 * x168 * x85
result[0, 4, 2] = x120 * x168 * x79
result[0, 4, 3] = x154 * x169 * x170
result[0, 4, 4] = 1.0 * x119 * x171
result[0, 4, 5] = x154 * x172 * x173
result[0, 4, 6] = x106 * x116 * x164 * x63
result[0, 4, 7] = x120 * x166 * x169
result[0, 4, 8] = x166 * x172 * x85
result[0, 4, 9] = 0.01666666666666667 * x164 * x174 * x80
result[0, 5, 0] = x144 * x177
result[0, 5, 1] = x177 * x178
result[0, 5, 2] = x147 * x180
result[0, 5, 3] = x176 * x181
result[0, 5, 4] = x154 * x182 * x73
result[0, 5, 5] = x152 * x183
result[0, 5, 6] = x129 * x184 * x70
result[0, 5, 7] = x185 * x54
result[0, 5, 8] = x164 * x186 * x39
result[0, 5, 9] = x163 * x190
result[0, 6, 0] = x173 * x192 * x194
result[0, 6, 1] = x200 * x202
result[0, 6, 2] = x203 * x205
result[0, 6, 3] = x206 * x209
result[0, 6, 4] = x199 * x211 * x49
result[0, 6, 5] = x192 * x212 * x98
result[0, 6, 6] = x215 * x35
result[0, 6, 7] = x209 * x49
result[0, 6, 8] = x200 * x67
result[0, 6, 9] = x204 * x78
result[0, 7, 0] = x128 * x142 * x216
result[0, 7, 1] = x217 * x218
result[0, 7, 2] = x141 * x220
result[0, 7, 3] = x116 * x165 * x210
result[0, 7, 4] = x120 * x153 * x221
result[0, 7, 5] = x142 * x222
result[0, 7, 6] = x116 * x161 * x44
result[0, 7, 7] = x150 * x223
result[0, 7, 8] = x146 * x224
result[0, 7, 9] = x139 * x142
result[0, 8, 0] = x184 * x216 * x79
result[0, 8, 1] = x176 * x225
result[0, 8, 2] = x217 * x226
result[0, 8, 3] = x177 * x227
result[0, 8, 4] = x182 * x221 * x85
result[0, 8, 5] = x186 * x210 * x80
result[0, 8, 6] = x107 * x177
result[0, 8, 7] = x228 * x92
result[0, 8, 8] = x186 * x85
result[0, 8, 9] = x190 * x44 * x80
result[0, 9, 0] = x170 * x194 * x230
result[0, 9, 1] = x203 * x232
result[0, 9, 2] = x202 * x238
result[0, 9, 3] = x212 * x231 * x54
result[0, 9, 4] = x211 * x237 * x39
result[0, 9, 5] = x206 * x241
result[0, 9, 6] = x231 * x74
result[0, 9, 7] = x238 * x54
result[0, 9, 8] = x241 * x39
result[0, 9, 9] = x244 * x35
result[1, 0, 0] = 0
result[1, 0, 1] = x248
result[1, 0, 2] = 0
result[1, 0, 3] = -x250 * x61
result[1, 0, 4] = -x252 * x48
result[1, 0, 5] = 0
result[1, 0, 6] = -x253 * x256
result[1, 0, 7] = x259
result[1, 0, 8] = -x261 * x67
result[1, 0, 9] = 0
result[1, 1, 0] = x262
result[1, 1, 1] = -x263 * x264
result[1, 1, 2] = -x265 * x48
result[1, 1, 3] = -x268 * x269
result[1, 1, 4] = -x270 * x48 * x94
result[1, 1, 5] = -x269 * x66
result[1, 1, 6] = -x281 * x99
result[1, 1, 7] = -x108 * x268 * x49
result[1, 1, 8] = -x282 * x88 * x99
result[1, 1, 9] = -x283 * x284
result[1, 2, 0] = 0
result[1, 2, 1] = -x115 * x265
result[1, 2, 2] = 0
result[1, 2, 3] = -x121 * x250
result[1, 2, 4] = -x269 * x285
result[1, 2, 5] = 0
result[1, 2, 6] = -x100 * x116 * x286
result[1, 2, 7] = -x131 * x39
result[1, 2, 8] = -x287 * x99
result[1, 2, 9] = 0
result[1, 3, 0] = -x144 * x288
result[1, 3, 1] = -x290 * x291
result[1, 3, 2] = -x148 * x292
result[1, 3, 3] = -x295 * x296
result[1, 3, 4] = -x154 * x297 * x298
result[1, 3, 5] = -x155 * x299
result[1, 3, 6] = -x257 * x309
result[1, 3, 7] = -x166 * x294 * x310
result[1, 3, 8] = -x162 * x282 * x290
result[1, 3, 9] = x311
result[1, 4, 0] = -x115 * x312
result[1, 4, 1] = -x115 * x147 * x270
result[1, 4, 2] = -x285 * x291
result[1, 4, 3] = -x154 * x313 * x314
result[1, 4, 4] = -0.5 * x120 * x151 * x88
result[1, 4, 5] = -x172 * x315
result[1, 4, 6] = -x115 * x277 * x317
result[1, 4, 7] = -x162 * x313 * x318
result[1, 4, 8] = -x224 * x270 * x7
result[1, 4, 9] = -x319 * x7
result[1, 5, 0] = 0
result[1, 5, 1] = -x176 * x291
result[1, 5, 2] = 0
result[1, 5, 3] = -x155 * x320
result[1, 5, 4] = -x182 * x315
result[1, 5, 5] = 0
result[1, 5, 6] = -x162 * x177 * x286
result[1, 5, 7] = -x185 * x250
result[1, 5, 8] = -x257 * x321
result[1, 5, 9] = 0
result[1, 6, 0] = -x323 * x324
result[1, 6, 1] = -x201 * x327
result[1, 6, 2] = -x202 * x328 * x49
result[1, 6, 3] = -x329 * x331
result[1, 6, 4] = -x326 * x332 * x48
result[1, 6, 5] = -x206 * x328 * x67
result[1, 6, 6] = -x246 * (
x161
+ x17 * x293
+ x272 * x275
+ x302 * x334
+ x79 * (x150 + x303 * x333 + 4.0 * x304 + 4.0 * x305 + 4.0 * x306)
)
result[1, 6, 7] = -x310 * x331
result[1, 6, 8] = -x327 * x66
result[1, 6, 9] = -x283 * x323
result[1, 7, 0] = x335
result[1, 7, 1] = -x116 * x217 * x290
result[1, 7, 2] = -x220 * x80
result[1, 7, 3] = -x221 * x294 * x336
result[1, 7, 4] = -x206 * x297 * x318
result[1, 7, 5] = -x222 * x288
result[1, 7, 6] = -x309 * x336
result[1, 7, 7] = -x295 * x337
result[1, 7, 8] = -x287 * x290
result[1, 7, 9] = -x139 * x288
result[1, 8, 0] = -x177 * x338
result[1, 8, 1] = -x201 * x339 * x88
result[1, 8, 2] = -x201 * x340
result[1, 8, 3] = -x206 * x268 * x339
result[1, 8, 4] = -x228 * x270 * x4
result[1, 8, 5] = -x321 * x329
result[1, 8, 6] = -x176 * x281
result[1, 8, 7] = -x268 * x340
result[1, 8, 8] = -x264 * x321
result[1, 8, 9] = x341
result[1, 9, 0] = 0
result[1, 9, 1] = -x342 * x343
result[1, 9, 2] = 0
result[1, 9, 3] = x345
result[1, 9, 4] = -x237 * x346
result[1, 9, 5] = 0
result[1, 9, 6] = -x256 * x342
result[1, 9, 7] = -x238 * x250
result[1, 9, 8] = x347
result[1, 9, 9] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x248
result[2, 0, 3] = 0
result[2, 0, 4] = -x252 * x38
result[2, 0, 5] = -x310 * x61
result[2, 0, 6] = 0
result[2, 0, 7] = -x261 * x54
result[2, 0, 8] = x259
result[2, 0, 9] = -x253 * x349
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = -x265 * x79
result[2, 1, 3] = 0
result[2, 1, 4] = -x351 * x352
result[2, 1, 5] = -x292 * x96
result[2, 1, 6] = 0
result[2, 1, 7] = -x354 * x99
result[2, 1, 8] = -x111 * x49
result[2, 1, 9] = -x100 * x355 * x80
result[2, 2, 0] = x262
result[2, 2, 1] = -x265 * x38
result[2, 2, 2] = -x263 * x356
result[2, 2, 3] = -x269 * x52
result[2, 2, 4] = -x357 * x38 * x94
result[2, 2, 5] = -x269 * x360
result[2, 2, 6] = -x284 * x361
result[2, 2, 7] = -x123 * x362 * x99
result[2, 2, 8] = -x108 * x360 * x39
result[2, 2, 9] = -x370 * x99
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = -x141 * x291
result[2, 3, 3] = 0
result[2, 3, 4] = -x153 * x315
result[2, 3, 5] = -x155 * x371
result[2, 3, 6] = 0
result[2, 3, 7] = -x257 * x372
result[2, 3, 8] = -x167 * x310
result[2, 3, 9] = -x142 * x162 * x355
result[2, 4, 0] = -x312 * x79
result[2, 4, 1] = -x351 * x373
result[2, 4, 2] = -x123 * x147 * x374
result[2, 4, 3] = -x169 * x315
result[2, 4, 4] = -0.5 * x123 * x171
result[2, 4, 5] = -x154 * x375 * x376
result[2, 4, 6] = -x377 * x7
result[2, 4, 7] = -x357 * x378 * x93
result[2, 4, 8] = -x162 * x376 * x379
result[2, 4, 9] = -x317 * x369 * x79
result[2, 5, 0] = -x144 * x336
result[2, 5, 1] = -x178 * x336
result[2, 5, 2] = -x291 * x381
result[2, 5, 3] = -x116 * x181
result[2, 5, 4] = -x154 * x382 * x383
result[2, 5, 5] = -x296 * x386
result[2, 5, 6] = x387
result[2, 5, 7] = -x162 * x362 * x381
result[2, 5, 8] = -x166 * x250 * x385
result[2, 5, 9] = -x257 * x397
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = -x343 * x398
result[2, 6, 3] = 0
result[2, 6, 4] = -x199 * x346
result[2, 6, 5] = x399
result[2, 6, 6] = 0
result[2, 6, 7] = x400
result[2, 6, 8] = -x200 * x310
result[2, 6, 9] = -x349 * x398
result[2, 7, 0] = -x142 * x338
result[2, 7, 1] = -x201 * x401
result[2, 7, 2] = -x123 * x201 * x402
result[2, 7, 3] = -x329 * x372
result[2, 7, 4] = -x123 * x4 * x403
result[2, 7, 5] = -x206 * x360 * x402
result[2, 7, 6] = x404
result[2, 7, 7] = -x356 * x372
result[2, 7, 8] = -x360 * x401
result[2, 7, 9] = -x141 * x370
result[2, 8, 0] = x335
result[2, 8, 1] = -x116 * x225
result[2, 8, 2] = -x217 * x381 * x80
result[2, 8, 3] = -x227 * x336
result[2, 8, 4] = -x206 * x379 * x383
result[2, 8, 5] = -x221 * x288 * x385
result[2, 8, 6] = -x107 * x336
result[2, 8, 7] = -x354 * x381
result[2, 8, 8] = -x350 * x386
result[2, 8, 9] = -x288 * x397
result[2, 9, 0] = -x324 * x406
result[2, 9, 1] = -x202 * x39 * x407
result[2, 9, 2] = -x201 * x410
result[2, 9, 3] = -x206 * x407 * x54
result[2, 9, 4] = -x332 * x38 * x409
result[2, 9, 5] = -x329 * x412
result[2, 9, 6] = -x361 * x406
result[2, 9, 7] = -x410 * x52
result[2, 9, 8] = -x250 * x412
result[2, 9, 9] = -x246 * (
x115 * (x183 + x391 * x413 + 4.0 * x392 + 4.0 * x393 + 4.0 * x394)
+ x17 * x384
+ x190
+ x334 * x390
+ x364 * x367
)
result[3, 0, 0] = -x246 * (
x17 * x417
+ x28
+ x334 * x420
+ x416 * x426
+ x7 * (x21 + 2.0 * x422 + 4.0 * x423 + 4.0 * x424 + 4.0 * x425)
)
result[3, 0, 1] = -x250 * x430
result[3, 0, 2] = -x310 * x430
result[3, 0, 3] = -x434 * x52
result[3, 0, 4] = -x250 * x316 * x435
result[3, 0, 5] = -x434 * x66
result[3, 0, 6] = -x361 * x437
result[3, 0, 7] = -x438 * x49 * x54
result[3, 0, 8] = -x39 * x438 * x67
result[3, 0, 9] = -x283 * x437
result[3, 1, 0] = -x288 * x440
result[3, 1, 1] = -x350 * x443
result[3, 1, 2] = -x292 * x443
result[3, 1, 3] = -x354 * x445
result[3, 1, 4] = -x379 * x446 * x49
result[3, 1, 5] = -x282 * x445 * x80
result[3, 1, 6] = -x107 * x257
result[3, 1, 7] = -x109 * x447
result[3, 1, 8] = -x448 * x66 * x85
result[3, 1, 9] = x311
result[3, 2, 0] = -x336 * x440
result[3, 2, 1] = -x443 * x449
result[3, 2, 2] = -x337 * x443
result[3, 2, 3] = -x116 * x362 * x445
result[3, 2, 4] = -x318 * x39 * x446
result[3, 2, 5] = -x287 * x445
result[3, 2, 6] = x387
result[3, 2, 7] = -x120 * x448 * x52
result[3, 2, 8] = -x132 * x447
result[3, 2, 9] = -x139 * x257
result[3, 3, 0] = -x141 * x451
result[3, 3, 1] = -x401 * x452
result[3, 3, 2] = -x371 * x453
result[3, 3, 3] = -x372 * x454
result[3, 3, 4] = -x403 * x48 * x6
result[3, 3, 5] = -0.1666666666666667 * x156 * x6
result[3, 3, 6] = x404
result[3, 3, 7] = -x455 * x48
result[3, 3, 8] = -x401 * x66
result[3, 3, 9] = -x142 * x260 * x283
result[3, 4, 0] = -x316 * x450 * x456
result[3, 4, 1] = -x116 * x457 * x85
result[3, 4, 2] = -x120 * x457 * x80
result[3, 4, 3] = -x115 * x169 * x6 * x93
result[3, 4, 4] = -0.5 * x119 * x6 * x85
result[3, 4, 5] = -x224 * x374 * x6
result[3, 4, 6] = -x115 * x377
result[3, 4, 7] = -x169 * x458
result[3, 4, 8] = -x172 * x351
result[3, 4, 9] = -x319 * x79
result[3, 5, 0] = -x176 * x451
result[3, 5, 1] = -x320 * x453
result[3, 5, 2] = -x340 * x452
result[3, 5, 3] = -x176 * x362 * x6
result[3, 5, 4] = -x228 * x459 * x6
result[3, 5, 5] = -x321 * x454
result[3, 5, 6] = -x260 * x320 * x72
result[3, 5, 7] = -x340 * x52
result[3, 5, 8] = -x38 * x460
result[3, 5, 9] = x341
result[3, 6, 0] = -x398 * x462
result[3, 6, 1] = -x200 * x329
result[3, 6, 2] = x399
result[3, 6, 3] = x400
result[3, 6, 4] = -x199 * x251 * x48
result[3, 6, 5] = -x191 * x260 * x299
result[3, 6, 6] = 0
result[3, 6, 7] = 0
result[3, 6, 8] = 0
result[3, 6, 9] = 0
result[3, 7, 0] = -x116 * x142 * x463
result[3, 7, 1] = -x218 * x464
result[3, 7, 2] = -x120 * x141 * x465
result[3, 7, 3] = -x115 * x455
result[3, 7, 4] = -x153 * x458
result[3, 7, 5] = -x141 * x287
result[3, 7, 6] = 0
result[3, 7, 7] = 0
result[3, 7, 8] = 0
result[3, 7, 9] = 0
result[3, 8, 0] = -x177 * x463 * x80
result[3, 8, 1] = -x176 * x465 * x85
result[3, 8, 2] = -x226 * x464
result[3, 8, 3] = -x176 * x354
result[3, 8, 4] = -x182 * x351
result[3, 8, 5] = -x460 * x79
result[3, 8, 6] = 0
result[3, 8, 7] = 0
result[3, 8, 8] = 0
result[3, 8, 9] = 0
result[3, 9, 0] = -x342 * x462
result[3, 9, 1] = x345
result[3, 9, 2] = -x238 * x329
result[3, 9, 3] = -x260 * x342 * x54
result[3, 9, 4] = -x237 * x251 * x38
result[3, 9, 5] = x347
result[3, 9, 6] = 0
result[3, 9, 7] = 0
result[3, 9, 8] = 0
result[3, 9, 9] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x468
result[4, 0, 2] = 0
result[4, 0, 3] = x433 * x471
result[4, 0, 4] = x435 * x472
result[4, 0, 5] = 0
result[4, 0, 6] = x436 * x475
result[4, 0, 7] = x478
result[4, 0, 8] = x436 * x481
result[4, 0, 9] = 0
result[4, 1, 0] = x482
result[4, 1, 1] = x483 * x484
result[4, 1, 2] = x48 * x485
result[4, 1, 3] = x268 * x487
result[4, 1, 4] = x446 * x48 * x488
result[4, 1, 5] = x487 * x66
result[4, 1, 6] = x489 * x490
result[4, 1, 7] = x268 * x492
result[4, 1, 8] = x484 * x493 * x7
result[4, 1, 9] = x495 * x76
result[4, 2, 0] = 0
result[4, 2, 1] = x115 * x485
result[4, 2, 2] = 0
result[4, 2, 3] = x445 * x497
result[4, 2, 4] = x446 * x499
result[4, 2, 5] = 0
result[4, 2, 6] = x501
result[4, 2, 7] = x502 * x503
result[4, 2, 8] = x504 * x505
result[4, 2, 9] = 0
result[4, 3, 0] = x450 * x507
result[4, 3, 1] = x452 * x508
result[4, 3, 2] = x452 * x509
result[4, 3, 3] = x5 * x510
result[4, 3, 4] = x48 * x508 * x511
result[4, 3, 5] = x493 * x512 * x79
result[4, 3, 6] = x513
result[4, 3, 7] = x48 * x514
result[4, 3, 8] = x508 * x66
result[4, 3, 9] = x515 * x76
result[4, 4, 0] = x450 * x516
result[4, 4, 1] = x115 * x452 * x488 * x95
result[4, 4, 2] = x452 * x517
result[4, 4, 3] = x115 * x313 * x518
result[4, 4, 4] = x498 * x519 * x87
result[4, 4, 5] = x511 * x521
result[4, 4, 6] = x277 * x516
result[4, 4, 7] = x268 * x517
result[4, 4, 8] = x172 * x522
result[4, 4, 9] = x174 * x523
result[4, 5, 0] = 0
result[4, 5, 1] = x452 * x524
result[4, 5, 2] = 0
result[4, 5, 3] = x38 * x512 * x525
result[4, 5, 4] = x511 * x526
result[4, 5, 5] = 0
result[4, 5, 6] = x254 * x527
result[4, 5, 7] = x38 * x528
result[4, 5, 8] = x530
result[4, 5, 9] = 0
result[4, 6, 0] = x461 * x531
result[4, 6, 1] = x532 * x533
result[4, 6, 2] = x534
result[4, 6, 3] = x535
result[4, 6, 4] = x48 * x536
result[4, 6, 5] = x322 * x481
result[4, 6, 6] = 0
result[4, 6, 7] = 0
result[4, 6, 8] = 0
result[4, 6, 9] = 0
result[4, 7, 0] = x537
result[4, 7, 1] = x290 * x538
result[4, 7, 2] = x502 * x539
result[4, 7, 3] = x115 * x514
result[4, 7, 4] = x290 * x517
result[4, 7, 5] = x127 * x540
result[4, 7, 6] = 0
result[4, 7, 7] = 0
result[4, 7, 8] = 0
result[4, 7, 9] = 0
result[4, 8, 0] = x461 * x527
result[4, 8, 1] = x4 * x484 * x525
result[4, 8, 2] = x4 * x528
result[4, 8, 3] = x268 * x524
result[4, 8, 4] = x182 * x522
result[4, 8, 5] = x530
result[4, 8, 6] = 0
result[4, 8, 7] = 0
result[4, 8, 8] = 0
result[4, 8, 9] = 0
result[4, 9, 0] = 0
result[4, 9, 1] = x229 * x470 * x541
result[4, 9, 2] = 0
result[4, 9, 3] = x229 * x542
result[4, 9, 4] = x237 * x543
result[4, 9, 5] = 0
result[4, 9, 6] = 0
result[4, 9, 7] = 0
result[4, 9, 8] = 0
result[4, 9, 9] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x543 * x60
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x544 * x69
result[5, 0, 8] = x495 * x69
result[5, 0, 9] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x546
result[5, 1, 3] = 0
result[5, 1, 4] = x352 * x522
result[5, 1, 5] = x48 * x547
result[5, 1, 6] = 0
result[5, 1, 7] = x268 * x548
result[5, 1, 8] = x484 * x491 * x99
result[5, 1, 9] = x348 * x549
result[5, 2, 0] = 0
result[5, 2, 1] = x546
result[5, 2, 2] = 0
result[5, 2, 3] = x38 * x547
result[5, 2, 4] = x352 * x551
result[5, 2, 5] = 0
result[5, 2, 6] = x254 * x549
result[5, 2, 7] = x38 * x552 * x99
result[5, 2, 8] = x360 * x548
result[5, 2, 9] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x12 * x540
result[5, 3, 3] = 0
result[5, 3, 4] = x508 * x553
result[5, 3, 5] = x48 * x506 * x554
result[5, 3, 6] = 0
result[5, 3, 7] = x514 * x7
result[5, 3, 8] = x290 * x492
result[5, 3, 9] = x555
result[5, 4, 0] = x143 * x543
result[5, 4, 1] = x373 * x522
result[5, 4, 2] = x373 * x551
result[5, 4, 3] = x268 * x556
result[5, 4, 4] = 0.4330127018922193 * x122 * x151 * x484
result[5, 4, 5] = x360 * x556
result[5, 4, 6] = x277 * x557
result[5, 4, 7] = x313 * x558 * x7
result[5, 4, 8] = x376 * x488 * x7
result[5, 4, 9] = x369 * x557
result[5, 5, 0] = 0
result[5, 5, 1] = x12 * x559
result[5, 5, 2] = 0
result[5, 5, 3] = x115 * x469 * x554
result[5, 5, 4] = x553 * x560
result[5, 5, 5] = 0
result[5, 5, 6] = x501
result[5, 5, 7] = x381 * x561
result[5, 5, 8] = x562 * x7
result[5, 5, 9] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = x322 * x563
result[5, 6, 3] = 0
result[5, 6, 4] = x4 * x536
result[5, 6, 5] = x534
result[5, 6, 6] = 0
result[5, 6, 7] = x535
result[5, 6, 8] = x466 * x48 * x533
result[5, 6, 9] = x348 * x531
result[5, 7, 0] = x194 * x507
result[5, 7, 1] = x201 * x508
result[5, 7, 2] = x201 * x552 * x79
result[5, 7, 3] = x4 * x514
result[5, 7, 4] = x122 * x4 * x508 * x95
result[5, 7, 5] = x360 * x564
result[5, 7, 6] = x513
result[5, 7, 7] = x122 * x510
result[5, 7, 8] = x360 * x508
result[5, 7, 9] = x369 * x507
result[5, 8, 0] = x194 * x566
result[5, 8, 1] = x201 * x484 * x496
result[5, 8, 2] = x201 * x560
result[5, 8, 3] = x268 * x538
result[5, 8, 4] = x383 * x4 * x488
result[5, 8, 5] = x4 * x562
result[5, 8, 6] = x490 * x565
result[5, 8, 7] = x268 * x560
result[5, 8, 8] = x385 * x488
result[5, 8, 9] = x567
result[5, 9, 0] = 0
result[5, 9, 1] = x405 * x563
result[5, 9, 2] = 0
result[5, 9, 3] = x568
result[5, 9, 4] = x4 * x569
result[5, 9, 5] = 0
result[5, 9, 6] = x405 * x475
result[5, 9, 7] = x409 * x471
result[5, 9, 8] = x570
result[5, 9, 9] = 0
result[6, 0, 0] = -x583 * x584
result[6, 0, 1] = -x250 * x588
result[6, 0, 2] = -x310 * x588
result[6, 0, 3] = x596 * (-x103 * x594 - x589 * x593 + x589 * x595)
result[6, 0, 4] = x599 * (
-0.125 * x1 * x590 + 0.125 * x58 + 0.25 * x59 * x7 - 0.25 * x591 * x7
)
result[6, 0, 5] = x596 * (x135 * x595 - x593 * x600 - x594 * x600)
result[6, 0, 6] = x609 * (-0.25 * x603 - 0.25 * x605 + 0.5 * x606)
result[6, 0, 7] = -x614 * (0.25 * x610 + x611 - 0.5 * x612)
result[6, 0, 8] = -x618 * (x604 * x615 + x616 - 0.5 * x617)
result[6, 0, 9] = x613 * (x57 * x621 - x604 * x620 - x619)
result[6, 1, 0] = -x288 * x622
result[6, 1, 1] = x626 * (x21 * x625 - x271 * x624 - x623 * x90)
result[6, 1, 2] = -x292 * x628
result[6, 1, 3] = -x635 * (-x59 * x634 + 0.0625 * x632 + 0.0625 * x633)
result[6, 1, 4] = -x640 * (-x59 * x625 + 0.125 * x636 + 0.125 * x637)
result[6, 1, 5] = x642 * x80 * (-x59 * x600 + x59 * x641 - x591 * x600)
result[6, 1, 6] = x596 * (-x106 * x649 + x106 * x650 - x646 * x648)
result[6, 1, 7] = x639 * (-x57 * x634 - x631 * x648 + x650 * x92)
result[6, 1, 8] = x652 * (-x271 * x615 * x647 - x616 * x90 + x647 * x651 * x90)
result[6, 1, 9] = x655 * (-x619 - x620 * x647 + x621 * x647)
result[6, 2, 0] = -x336 * x622
result[6, 2, 1] = -x449 * x628
result[6, 2, 2] = x626 * (-x125 * x623 - x125 * x624 + x21 * x656)
result[6, 2, 3] = x660 * (-x103 * x658 - x589 * x657 + x59 * x659)
result[6, 2, 4] = x662 * (-x125 * x657 - x125 * x658 + x59 * x656)
result[6, 2, 5] = x635 * (-x59 * x663 - x591 * x663 + x658 * x666)
result[6, 2, 6] = -x670 * (x611 + 0.25 * x667 - 0.5 * x668)
result[6, 2, 7] = x652 * (x589 * x647 * x672 - x612 * x671 - x668 * x671)
result[6, 2, 8] = x661 * (-x127 * x648 - x127 * x649 + x650 * x666)
result[6, 2, 9] = x596 * (-x138 * x648 - x138 * x649 + x650 * x676)
result[6, 3, 0] = x596 * (-x143 * x680 + x143 * x681 - x677 * x679)
result[6, 3, 1] = -x635 * (-x146 * x686 + 0.0625 * x684 + 0.0625 * x685)
result[6, 3, 2] = x639 * (-x12 * x680 + x12 * x681 - x573 * x679)
result[6, 3, 3] = x626 * (-x150 * x689 + x150 * x690 - x687 * x688)
result[6, 3, 4] = -x640 * (-x146 * x690 + 0.125 * x691 + 0.125 * x692)
result[6, 3, 5] = x652 * (x10 * x651 * x678 - x10 * x693 - x415 * x615 * x678)
result[6, 3, 6] = -x696 * x697
result[6, 3, 7] = -x699 * x701
result[6, 3, 8] = x162 * x642 * (-x146 * x600 + x146 * x641 - x600 * x683)
result[6, 3, 9] = x614 * (-x620 * x678 + x621 * x678 - x702)
result[6, 4, 0] = x703 * (0.25 * x13 - 0.25 * x4 * x573 + x627)
result[6, 4, 1] = -x705 * (0.125 * x12 * x271 - x12 * x625 + 0.125 * x704)
result[6, 4, 2] = x708 * (x12 * x656 - x125 * x686 - x573 * x706)
result[6, 4, 3] = -x705 * (-x690 * x92 + 0.125 * x709 + 0.125 * x710)
result[6, 4, 4] = 0.125 * x278 * (x10 * x672 * x90 - x671 * x711 - x671 * x712)
result[6, 4, 5] = x708 * (-x127 * x688 - x127 * x689 + x666 * x690)
result[6, 4, 6] = x714 * (0.25 * x213 - 0.25 * x38 * x631 + x698)
result[6, 4, 7] = x716 * (-x125 * x634 - x631 * x706 + x656 * x92)
result[6, 4, 8] = x716 * (-x271 * x717 + x625 * x666 - x717 * x90)
result[6, 4, 9] = -x713 * x79 * (0.5 * x242 - 0.5 * x48 * x666 + x718)
result[6, 5, 0] = x596 * (-x143 * x720 + x143 * x721 - x677 * x720)
result[6, 5, 1] = x39 * x642 * (2.0 * x12 * x234 - x12 * x719 - x573 * x719)
result[6, 5, 2] = x635 * (-x12 * x722 - x573 * x722 + x686 * x724)
result[6, 5, 3] = x652 * (x10 * x589 * x725 - x103 * x690 * x719 - x415 * x659 * x719)
result[6, 5, 4] = x662 * (-x180 * x688 - x180 * x689 + x690 * x724)
result[6, 5, 5] = x626 * (-x183 * x688 - x183 * x689 + x690 * x726)
result[6, 5, 6] = x618 * (x103 * x725 - x103 * x727 - x602 * x727)
result[6, 5, 7] = x715 * (-x103 * x728 - x589 * x728 + x659 * x724)
result[6, 5, 8] = x38 * x700 * x729
result[6, 5, 9] = -x697 * x734
result[6, 6, 0] = x741 * (-0.25 * x736 - 0.25 * x738 + 0.5 * x739)
result[6, 6, 1] = x596 * (-x18 * x746 + x199 * x747 - x742 * x745)
result[6, 6, 2] = -x655 * (0.25 * x737 * x742 + x748 - 0.5 * x749)
result[6, 6, 3] = -x329 * x750
result[6, 6, 4] = x751 * (
-0.125 * x1 * x743 + 0.25 * x146 * x79 + 0.125 * x197 - 0.25 * x683 * x79
)
result[6, 6, 5] = x752 * (x196 * x651 - x615 * x737 - x693)
result[6, 6, 6] = -x584 * x754
result[6, 6, 7] = -x310 * x750
result[6, 6, 8] = x596 * (x199 * x620 - x600 * x745 - x600 * x746)
result[6, 6, 9] = x654 * (x196 * x621 - x620 * x737 - x702)
result[6, 7, 0] = -x758 * (x748 + 0.25 * x755 - 0.5 * x756)
result[6, 7, 1] = x660 * (x146 * x747 - x18 * x760 - x683 * x759)
result[6, 7, 2] = x652 * (-x671 * x749 - x671 * x756 + x672 * x678 * x742)
result[6, 7, 3] = -x699 * x762
result[6, 7, 4] = x764 * (x146 * x656 - x146 * x706 - x683 * x706)
result[6, 7, 5] = x763 * (-x127 * x679 - x127 * x680 + x666 * x681)
result[6, 7, 6] = -x696 * x765
result[6, 7, 7] = x626 * (x150 * x656 - x150 * x706 - x687 * x706)
result[6, 7, 8] = x635 * (-x146 * x663 - x663 * x683 + x666 * x760)
result[6, 7, 9] = x596 * (-x138 * x679 - x138 * x680 + x676 * x681)
result[6, 8, 0] = x752 * (x18 * x725 - x18 * x727 - x727 * x735)
result[6, 8, 1] = x652 * (-x18 * x625 * x719 - x271 * x727 * x742 + x725 * x742 * x90)
result[6, 8, 2] = x707 * (-x18 * x728 + x724 * x747 - x728 * x742)
result[6, 8, 3] = x206 * x642 * (x105 * x234 - x631 * x719 - x719 * x92)
result[6, 8, 4] = x764 * (-x271 * x728 + x625 * x724 - x728 * x90)
result[6, 8, 5] = x729 * x761 * x79
result[6, 8, 6] = x596 * (-x106 * x720 + x106 * x721 - x646 * x720)
result[6, 8, 7] = x635 * (-x631 * x722 + x634 * x724 - x722 * x92)
result[6, 8, 8] = x626 * (-x271 * x766 + x625 * x726 - x766 * x90)
result[6, 8, 9] = -x734 * x767
result[6, 9, 0] = x757 * (x18 * x769 - x721 * x735 - x768)
result[6, 9, 1] = x670 * (-x721 * x742 + x742 * x769 - x768)
result[6, 9, 2] = x596 * (-x18 * x770 - x237 * x759 + x747 * x772)
result[6, 9, 3] = x758 * (-x234 * x659 + x589 * x769 - x773)
result[6, 9, 4] = (
x329
* x38
* x597
* (0.25 * x1 * x771 - 0.5 * x115 * x180 + 0.5 * x115 * x724 - 0.25 * x235)
)
result[6, 9, 5] = -x329 * x774
result[6, 9, 6] = x669 * (x103 * x769 - x602 * x721 - x773)
result[6, 9, 7] = x596 * (-x103 * x770 - x589 * x770 + x659 * x772)
result[6, 9, 8] = -x250 * x774
result[6, 9, 9] = (
0.004166666666666667
* x249
* (
x1
* (
6.0 * x115 * x666
+ 2.0 * x136
+ 4.0 * x243
+ x391 * x775
+ 8.0 * x392
+ 8.0 * x393
+ 8.0 * x394
+ x666 * x775
+ 5.0 * x675
)
+ 2.0 * x115 * (x26 * x732 + x730)
- x244
)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x468
result[7, 0, 3] = 0
result[7, 0, 4] = x38 * x433 * x472
result[7, 0, 5] = x435 * x466 * x470
result[7, 0, 6] = 0
result[7, 0, 7] = x436 * x776
result[7, 0, 8] = x478
result[7, 0, 9] = x348 * x436 * x474
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x485 * x79
result[7, 1, 3] = 0
result[7, 1, 4] = x446 * x778
result[7, 1, 5] = x445 * x509
result[7, 1, 6] = 0
result[7, 1, 7] = x378 * x504
result[7, 1, 8] = x494 * x779
result[7, 1, 9] = x555
result[7, 2, 0] = x482
result[7, 2, 1] = x38 * x485
result[7, 2, 2] = x483 * x550
result[7, 2, 3] = x487 * x52
result[7, 2, 4] = x122 * x459 * x487
result[7, 2, 5] = x360 * x487
result[7, 2, 6] = x544 * x72
result[7, 2, 7] = x52 * x552 * x7
result[7, 2, 8] = x360 * x561
result[7, 2, 9] = x369 * x470 * x489
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x452 * x780
result[7, 3, 3] = 0
result[7, 3, 4] = x153 * x781
result[7, 3, 5] = x141 * x491 * x512
result[7, 3, 6] = 0
result[7, 3, 7] = x782
result[7, 3, 8] = x48 * x783
result[7, 3, 9] = x348 * x784
result[7, 4, 0] = x450 * x785
result[7, 4, 1] = x452 * x786
result[7, 4, 2] = x374 * x452 * x558
result[7, 4, 3] = x169 * x781
result[7, 4, 4] = x122 * x519 * x777
result[7, 4, 5] = x360 * x374 * x518
result[7, 4, 6] = x106 * x543
result[7, 4, 7] = x169 * x551
result[7, 4, 8] = x360 * x786
result[7, 4, 9] = x369 * x785
result[7, 5, 0] = x450 * x566
result[7, 5, 1] = x452 * x497
result[7, 5, 2] = x452 * x560
result[7, 5, 3] = x496 * x512 * x52
result[7, 5, 4] = x38 * x511 * x560
result[7, 5, 5] = x385 * x518
result[7, 5, 6] = x542 * x72
result[7, 5, 7] = x52 * x560
result[7, 5, 8] = x38 * x562
result[7, 5, 9] = x567
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = x191 * x4 * x507
result[7, 6, 3] = 0
result[7, 6, 4] = x199 * x543
result[7, 6, 5] = x191 * x515
result[7, 6, 6] = 0
result[7, 6, 7] = 0
result[7, 6, 8] = 0
result[7, 6, 9] = 0
result[7, 7, 0] = x461 * x784
result[7, 7, 1] = x4 * x783
result[7, 7, 2] = x141 * x4 * x552
result[7, 7, 3] = x782
result[7, 7, 4] = x153 * x551
result[7, 7, 5] = x360 * x780
result[7, 7, 6] = 0
result[7, 7, 7] = 0
result[7, 7, 8] = 0
result[7, 7, 9] = 0
result[7, 8, 0] = x537
result[7, 8, 1] = x541 * x779
result[7, 8, 2] = x381 * x564
result[7, 8, 3] = x559 * x92
result[7, 8, 4] = x381 * x786
result[7, 8, 5] = x385 * x540
result[7, 8, 6] = 0
result[7, 8, 7] = 0
result[7, 8, 8] = 0
result[7, 8, 9] = 0
result[7, 9, 0] = x405 * x461 * x474
result[7, 9, 1] = x568
result[7, 9, 2] = x409 * x470 * x532
result[7, 9, 3] = x405 * x776
result[7, 9, 4] = x38 * x569
result[7, 9, 5] = x570
result[7, 9, 6] = 0
result[7, 9, 7] = 0
result[7, 9, 8] = 0
result[7, 9, 9] = 0
result[8, 0, 0] = x583 * x787
result[8, 0, 1] = -x250 * x790
result[8, 0, 2] = -x310 * x790
result[8, 0, 3] = x596 * (x592 * x792 - x60 * x791)
result[8, 0, 4] = x599 * x793
result[8, 0, 5] = x793 * x794
result[8, 0, 6] = x382 * x795 * (-x603 + x605)
result[8, 0, 7] = x298 * x42 * x795 * (-x606 + x610)
result[8, 0, 8] = x797 * x798
result[8, 0, 9] = x799 * x801
result[8, 1, 0] = -x767 * x802
result[8, 1, 1] = 0.2165063509461096 * x626 * (-x21 * x271 + x579 * x90)
result[8, 1, 2] = x292 * x805
result[8, 1, 3] = x806 * (-x632 + x633)
result[8, 1, 4] = x809 * (x636 - x637)
result[8, 1, 5] = -x80 * x811 * x812
result[8, 1, 6] = x596 * (x106 * x813 - 0.2165063509461096 * x646 * x647)
result[8, 1, 7] = -x639 * (0.2165063509461096 * x631 * x647 - x813 * x92)
result[8, 1, 8] = x816 * (x57 * x814 - x647 * x815)
result[8, 1, 9] = x817 * x818
result[8, 2, 0] = -x765 * x802
result[8, 2, 1] = x449 * x805
result[8, 2, 2] = x804 * x819
result[8, 2, 3] = x660 * (-x59 * x791 + x591 * x792)
result[8, 2, 4] = -x125 * x811 * x820 * x95
result[8, 2, 5] = x810 * x821
result[8, 2, 6] = x117 * x53 * x822 * (x606 - x667)
result[8, 2, 7] = x824 * (x612 - x668)
result[8, 2, 8] = x132 * x520
result[8, 2, 9] = x826
result[8, 3, 0] = x596 * (-x143 * x827 + x677 * x828)
result[8, 3, 1] = x806 * (-x684 + x685)
result[8, 3, 2] = x639 * (-x12 * x827 + x573 * x828)
result[8, 3, 3] = 0.2165063509461096 * x626 * (-x10 * x687 + x150 * x415)
result[8, 3, 4] = x809 * (-x691 + x692)
result[8, 3, 5] = x816 * (-x196 * x829 + x678 * x830)
result[8, 3, 6] = -x697 * x832
result[8, 3, 7] = -x701 * x834
result[8, 3, 8] = -x162 * x812 * x835
result[8, 3, 9] = -x801 * x818
result[8, 4, 0] = x703 * x836
result[8, 4, 1] = x837 * (-x12 * x271 + x704)
result[8, 4, 2] = -x80 * x839 * x840
result[8, 4, 3] = x837 * (-x709 + x710)
result[8, 4, 4] = 0.05412658773652741 * x823 * (-x711 + x712)
result[8, 4, 5] = x374 * x521
result[8, 4, 6] = -x714 * x841
result[8, 4, 7] = -x162 * x840 * x842
result[8, 4, 8] = -x505 * x520 * x95
result[8, 4, 9] = 0
result[8, 5, 0] = x836 * x843
result[8, 5, 1] = -x719 * x820 * x839
result[8, 5, 2] = x838 * x844
result[8, 5, 3] = x845 * (-x103 * x829 + x589 * x830)
result[8, 5, 4] = x38 * x846
result[8, 5, 5] = x847
result[8, 5, 6] = -x798 * x848
result[8, 5, 7] = -x526 * x7
result[8, 5, 8] = 0
result[8, 5, 9] = 0
result[8, 6, 0] = x375 * x849 * (x736 - x738)
result[8, 6, 1] = x596 * (x199 * x850 - 0.2165063509461096 * x742 * x744)
result[8, 6, 2] = x653 * x822 * (-x737 * x742 + x739)
result[8, 6, 3] = -x329 * x851
result[8, 6, 4] = -x751 * x852
result[8, 6, 5] = -x797 * x853
result[8, 6, 6] = -x754 * x787
result[8, 6, 7] = -x310 * x851
result[8, 6, 8] = -x794 * x852
result[8, 6, 9] = -x799 * x817
result[8, 7, 0] = x314 * x42 * x849 * (-x739 + x755)
result[8, 7, 1] = x660 * (x146 * x850 - 0.2165063509461096 * x683 * x742)
result[8, 7, 2] = x824 * (-x749 + x756)
result[8, 7, 3] = -x762 * x834
result[8, 7, 4] = -x206 * x835 * x840
result[8, 7, 5] = -x4 * x521
result[8, 7, 6] = -x765 * x832
result[8, 7, 7] = -x819 * x834
result[8, 7, 8] = -x821 * x835
result[8, 7, 9] = -x826
result[8, 8, 0] = x848 * x853
result[8, 8, 1] = x845 * (x18 * x814 - x742 * x815)
result[8, 8, 2] = x226 * x520
result[8, 8, 3] = -x206 * x719 * x807 * x842
result[8, 8, 4] = -x4 * x846
result[8, 8, 5] = 0
result[8, 8, 6] = -x841 * x843
result[8, 8, 7] = -x842 * x844
result[8, 8, 8] = -x847
result[8, 8, 9] = 0
result[8, 9, 0] = x4 * x855
result[8, 9, 1] = x38 * x856
result[8, 9, 2] = x857
result[8, 9, 3] = -x4 * x856
result[8, 9, 4] = 0
result[8, 9, 5] = 0
result[8, 9, 6] = -x38 * x855
result[8, 9, 7] = -x857
result[8, 9, 8] = 0
result[8, 9, 9] = 0
return result
[docs]
def multipole3d_sph_34(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (fg) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 10, 15), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - A[0]
x5 = -x3 - B[0]
x6 = ax * bx * x2
x7 = numpy.exp(-x6 * (A[0] - B[0]) ** 2)
x8 = 1.772453850905516
x9 = numpy.sqrt(x2)
x10 = x8 * x9
x11 = x10 * x7
x12 = x11 * x4
x13 = x12 * x5
x14 = 2.0 * x13
x15 = x11 * x5**2
x16 = x1 * x11
x17 = 3.0 * x16
x18 = x15 + x17
x19 = x1 * (x14 + x18)
x20 = x11 * x5
x21 = x1 * (x12 + x20)
x22 = x13 + x16
x23 = x22 * x5
x24 = x21 + x23
x25 = x24 * x4
x26 = x19 + x25
x27 = x26 * x4
x28 = x26 * x5
x29 = x22 * x4
x30 = 2.0 * x1 * (2.0 * x21 + x23 + x29)
x31 = x24 * x5
x32 = x1 * (5.0 * x19 + 3.0 * x25 + 2.0 * x31)
x33 = x28 + x30
x34 = x32 + x33 * x4
x35 = 3.0 * x1 * (x27 + x28 + 2.0 * x30) + x34 * x5
x36 = numpy.exp(-x6 * (A[2] - B[2]) ** 2)
x37 = numpy.exp(-x6 * (A[1] - B[1]) ** 2)
x38 = 3.141592653589793 * x2 * x37
x39 = x36 * x38
x40 = 2.645751311064591
x41 = da * db
x42 = 0.009523809523809525 * x41
x43 = x40 * x42
x44 = x39 * x43
x45 = -x2 * (ax * A[1] + bx * B[1])
x46 = -x45 - B[1]
x47 = 0.06666666666666667 * x41
x48 = x46 * x47
x49 = x34 * x39
x50 = -x2 * (ax * A[2] + bx * B[2])
x51 = -x50 - B[2]
x52 = x47 * x51
x53 = x27 + x30
x54 = x10 * x36
x55 = x53 * x54
x56 = x10 * x37
x57 = x46**2 * x56
x58 = x1 * x56
x59 = x57 + x58
x60 = 3.872983346207417
x61 = x41 * x60
x62 = 0.02222222222222222 * x61
x63 = x59 * x62
x64 = x51 * x53
x65 = 2.23606797749979
x66 = x41 * x65
x67 = 0.06666666666666667 * x66
x68 = x39 * x67
x69 = x46 * x68
x70 = x51**2 * x54
x71 = x1 * x54
x72 = x70 + x71
x73 = x62 * x72
x74 = x46 * x59
x75 = x46 * x58
x76 = 2.0 * x75
x77 = x74 + x76
x78 = x4**2
x79 = x11 * x78
x80 = x17 + x79
x81 = x21 + x29
x82 = x1 * (x14 + x80) + x4 * x81
x83 = x47 * x54
x84 = x51 * x54
x85 = x82 * x84
x86 = x59 * x67
x87 = x46 * x56
x88 = x67 * x72
x89 = x51 * x72
x90 = x51 * x71
x91 = 2.0 * x90
x92 = x89 + x91
x93 = x47 * x92
x94 = x56 * x82
x95 = x16 + x79
x96 = x1 * x12
x97 = 2.0 * x96
x98 = x4 * x95 + x97
x99 = 3.0 * x58
x100 = x1 * (3.0 * x57 + x99) + x46 * x77
x101 = x43 * x54
x102 = x77 * x98
x103 = x47 * x84
x104 = x59 * x98
x105 = x87 * x98
x106 = 3.0 * x71
x107 = x1 * (x106 + 3.0 * x70) + x51 * x92
x108 = x107 * x98
x109 = x43 * x56
x110 = -x45 - A[1]
x111 = 5.916079783099616
x112 = x111 * x42
x113 = x110 * x112
x114 = x32 + x33 * x5
x115 = x114 * x39
x116 = x110 * x56
x117 = x116 * x46
x118 = x117 + x58
x119 = x54 * x67
x120 = x110 * x51
x121 = x120 * x68
x122 = x1 * (x116 + x87)
x123 = x118 * x46
x124 = x122 + x123
x125 = 1.732050807568877
x126 = x125 * x41
x127 = 0.1111111111111111 * x126
x128 = x127 * x54
x129 = x118 * x26
x130 = 0.3333333333333333 * x41
x131 = x130 * x84
x132 = x127 * x72
x133 = 2.0 * x117
x134 = x57 + x99
x135 = x1 * (x133 + x134)
x136 = x124 * x46
x137 = x135 + x136
x138 = x124 * x81
x139 = x118 * x81
x140 = x130 * x72
x141 = x116 * x81
x142 = x67 * x92
x143 = x1 * (3.0 * x122 + 3.0 * x123 + x77) + x137 * x46
x144 = x143 * x54
x145 = x112 * x95
x146 = x67 * x95
x147 = x137 * x84
x148 = x124 * x95
x149 = x118 * x92
x150 = x107 * x116
x151 = -x50 - A[2]
x152 = x112 * x151
x153 = x33 * x56
x154 = x151 * x54
x155 = x154 * x51
x156 = x155 + x71
x157 = x156 * x67
x158 = x127 * x59
x159 = x154 * x26
x160 = x130 * x156
x161 = x26 * x87
x162 = x1 * (x154 + x84)
x163 = x156 * x51
x164 = x162 + x163
x165 = x127 * x164
x166 = x26 * x56
x167 = x77 * x81
x168 = x154 * x67
x169 = x59 * x81
x170 = x81 * x87
x171 = x130 * x164
x172 = 2.0 * x155
x173 = x106 + x70
x174 = x1 * (x172 + x173)
x175 = x164 * x51
x176 = x174 + x175
x177 = x176 * x81
x178 = x56 * x67
x179 = x100 * x154
x180 = x156 * x77
x181 = x164 * x95
x182 = x176 * x87
x183 = x1 * (3.0 * x162 + 3.0 * x163 + x92) + x176 * x51
x184 = x183 * x56
x185 = x110**2
x186 = x185 * x56
x187 = x186 + x58
x188 = x15 + x16
x189 = x188 * x5
x190 = x1 * x20
x191 = 2.0 * x190
x192 = x189 + x191
x193 = x19 + x31
x194 = x1 * (x192 + 3.0 * x21 + 3.0 * x23) + x193 * x5
x195 = x112 * x54
x196 = x110 * x118
x197 = x122 + x196
x198 = x187 * x67
x199 = x193 * x198
x200 = x110 * x124
x201 = x135 + x200
x202 = x197 * x24
x203 = x187 * x24
x204 = 2.0 * x1 * (2.0 * x122 + x123 + x196)
x205 = x201 * x46
x206 = x204 + x205
x207 = x22 * x67
x208 = x207 * x54
x209 = x131 * x22
x210 = x197 * x22
x211 = x187 * x207
x212 = x112 * x4
x213 = x1 * (5.0 * x135 + 2.0 * x136 + 3.0 * x200)
x214 = x206 * x46 + x213
x215 = 3.141592653589793 * x2 * x7
x216 = x215 * x36
x217 = x214 * x216
x218 = x206 * x51
x219 = x216 * x4
x220 = x219 * x67
x221 = x12 * x197
x222 = x112 * x187
x223 = x12 * x222
x224 = x110 * x39
x225 = x194 * x224
x226 = 10.2469507659596
x227 = x226 * x42
x228 = x151 * x227
x229 = x118 * x193
x230 = 0.06666666666666667 * x61
x231 = x154 * x230
x232 = x116 * x193
x233 = x156 * x230
x234 = x124 * x24
x235 = x130 * x154
x236 = x118 * x24
x237 = 0.3333333333333333 * x126
x238 = x156 * x237
x239 = x116 * x24
x240 = x22 * x231
x241 = x22 * x238
x242 = x22 * x237
x243 = x164 * x242
x244 = x176 * x230
x245 = x22 * x244
x246 = x219 * x227
x247 = x12 * x137
x248 = x12 * x124
x249 = x12 * x244
x250 = x110 * x183
x251 = x38 * x7
x252 = x251 * x4
x253 = x227 * x252
x254 = x151**2
x255 = x254 * x54
x256 = x255 + x71
x257 = x112 * x256
x258 = x256 * x67
x259 = x151 * x156
x260 = x162 + x259
x261 = x178 * x193
x262 = x24 * x59
x263 = x127 * x256
x264 = x24 * x87
x265 = x130 * x260
x266 = x151 * x164
x267 = x174 + x266
x268 = x24 * x267
x269 = x127 * x56
x270 = x207 * x256
x271 = x22 * x260
x272 = x130 * x59
x273 = x130 * x267
x274 = x22 * x273
x275 = 2.0 * x1 * (2.0 * x162 + x163 + x259)
x276 = x267 * x51
x277 = x275 + x276
x278 = x207 * x56
x279 = x260 * x67
x280 = x12 * x279
x281 = x12 * x267
x282 = x277 * x46
x283 = x252 * x67
x284 = x1 * (5.0 * x174 + 2.0 * x175 + 3.0 * x266)
x285 = x277 * x51 + x284
x286 = x251 * x285
x287 = x110 * x58
x288 = 2.0 * x287
x289 = x110 * x187 + x288
x290 = x1 * (3.0 * x15 + x17) + x192 * x5
x291 = x186 + x99
x292 = x1 * (x133 + x291) + x110 * x197
x293 = x103 * x192
x294 = x110 * x201
x295 = x204 + x294
x296 = x295 * x54
x297 = x188 * x62
x298 = x292 * x84
x299 = x188 * x67
x300 = x188 * x289
x301 = x47 * x5
x302 = x110 * x206 + x213
x303 = x216 * x302
x304 = x295 * x51
x305 = x5 * x67
x306 = x216 * x305
x307 = x20 * x289
x308 = 3.0 * x1 * (2.0 * x204 + x205 + x294) + x302 * x46
x309 = x216 * x43
x310 = x11 * x93
x311 = x11 * x43
x312 = x107 * x311
x313 = x112 * x187 * x290
x314 = x168 * x192
x315 = x187 * x192 * x67
x316 = x154 * x201
x317 = x127 * x188
x318 = x160 * x188
x319 = x187 * x188
x320 = x151 * x306
x321 = x20 * x201
x322 = x197 * x20
x323 = x198 * x20
x324 = x11 * x206
x325 = x11 * x165
x326 = x11 * x67
x327 = x176 * x326
x328 = x183 * x187
x329 = x11 * x112
x330 = x118 * x192
x331 = x116 * x192
x332 = x124 * x188
x333 = x118 * x260
x334 = x130 * x188
x335 = x116 * x267
x336 = x124 * x20
x337 = x20 * x273
x338 = x110 * x277
x339 = x251 * x305
x340 = x260 * x326
x341 = x124 * x267
x342 = x11 * x127
x343 = x118 * x277
x344 = x151 * x71
x345 = 2.0 * x344
x346 = x151 * x256 + x345
x347 = x290 * x346
x348 = x346 * x47
x349 = x192 * x348
x350 = x106 + x255
x351 = x1 * (x172 + x350) + x151 * x260
x352 = x192 * x351
x353 = x47 * x56
x354 = x188 * x346
x355 = x351 * x87
x356 = x151 * x267
x357 = x275 + x356
x358 = x357 * x56
x359 = x20 * x348
x360 = x20 * x351
x361 = x357 * x46
x362 = x151 * x277 + x284
x363 = x251 * x362
x364 = x100 * x346
x365 = x351 * x77
x366 = x11 * x47
x367 = x11 * x357
x368 = 3.0 * x1 * (2.0 * x275 + x276 + x356) + x362 * x51
x369 = x251 * x43
x370 = x1 * x34
x371 = x370 * x39 * x47
x372 = 0.04444444444444445 * x61
x373 = x1 * x53
x374 = x39 * x46
x375 = x1 * x64
x376 = x1 * x134
x377 = x1 * x57
x378 = x376 + 2.0 * x377
x379 = x1 * x374
x380 = 0.1333333333333333 * x66
x381 = x380 * x51
x382 = x379 * x381 * x82
x383 = x58 * x82
x384 = x1 * (x74 + 8.0 * x75) + x378 * x46
x385 = x378 * x98
x386 = x75 * x98
x387 = x372 * x72
x388 = x58 * x98
x389 = x1 * x114
x390 = x112 * x389 * x39
x391 = x287 + x75
x392 = x1 * x33
x393 = x392 * x51
x394 = x1 * (x117 + x99)
x395 = x391 * x46
x396 = x394 + x395
x397 = x26 * x391
x398 = x26 * x58
x399 = x1 * (x124 + x288 + 4.0 * x75)
x400 = x396 * x46
x401 = x399 + x400
x402 = x396 * x81
x403 = x391 * x81
x404 = x58 * x92
x405 = 3.0 * x394
x406 = x1 * (x137 + x378 + 3.0 * x395 + x405) + x401 * x46
x407 = x396 * x95
x408 = x391 * x92
x409 = x151 * x392
x410 = 0.2222222222222222 * x126
x411 = x26 * x410
x412 = x1 * x151
x413 = x374 * x412
x414 = x378 * x81
x415 = x75 * x81
x416 = 0.6666666666666666 * x41
x417 = x156 * x416
x418 = x171 * x58
x419 = x156 * x378
x420 = x410 * x75
x421 = x176 * x58
x422 = x1 * x225
x423 = x111 * x41
x424 = 0.01904761904761905 * x423
x425 = x110 * x391
x426 = x394 + x425
x427 = x1 * x39
x428 = x120 * x427
x429 = x193 * x380
x430 = x110 * x396
x431 = x399 + x430
x432 = x24 * x426
x433 = x24 * x287
x434 = x410 * x72
x435 = 2.0 * x425
x436 = 4.0 * x394
x437 = 2.0 * x395 + x436
x438 = x1 * (x201 + x435 + x437)
x439 = x431 * x46
x440 = x438 + x439
x441 = x22 * x426
x442 = x22 * x380
x443 = 2.0 * x400
x444 = x1 * (x206 + 5.0 * x399 + 3.0 * x430 + x443)
x445 = x216 * (x440 * x46 + x444)
x446 = x440 * x51
x447 = x12 * x426
x448 = x252 * x424
x449 = x1 * x107 * x110 * x448
x450 = x194 * x412
x451 = x39 * x450
x452 = x193 * x391
x453 = x193 * x58
x454 = x24 * x396
x455 = x24 * x391
x456 = x219 * x406
x457 = x12 * x401
x458 = x12 * x396
x459 = x1 * x183
x460 = x24 * x256
x461 = x24 * x58
x462 = x1 * x252
x463 = x46 * x462
x464 = x267 * x410
x465 = x1 * x277
x466 = x185 * x58
x467 = x1 * x291 + 2.0 * x466
x468 = x1 * (x197 + 4.0 * x287 + x76) + x110 * x426
x469 = x110 * x431
x470 = x438 + x469
x471 = x188 * x467
x472 = x110 * x440
x473 = x444 + x472
x474 = x216 * x473
x475 = x470 * x51
x476 = x20 * x467
x477 = x224 * x290 * x412 * x424
x478 = x192 * x287
x479 = x188 * x287
x480 = x164 * x410
x481 = x20 * x431
x482 = x20 * x426
x483 = x1 * x251
x484 = x483 * x5
x485 = x380 * x484
x486 = x11 * x440
x487 = x250 * x483
x488 = x192 * x391
x489 = x192 * x58
x490 = x188 * x396
x491 = x260 * x391
x492 = x267 * x58
x493 = x20 * x396
x494 = x1 * x112 * x286
x495 = x351 * x46 * x485
x496 = x372 * x483
x497 = x1 * x363 * x47
x498 = x67 * x71
x499 = x1 * x173
x500 = x1 * x70
x501 = x499 + 2.0 * x500
x502 = x47 * x501
x503 = x47 * x71
x504 = x372 * x90
x505 = x1 * (x89 + 8.0 * x90) + x501 * x51
x506 = x130 * x71
x507 = x416 * x90
x508 = x501 * x67
x509 = x137 * x71
x510 = x410 * x90
x511 = x118 * x501
x512 = x344 + x90
x513 = x512 * x67
x514 = x130 * x512
x515 = x106 + x155
x516 = x1 * x515
x517 = x51 * x512
x518 = x516 + x517
x519 = x127 * x518
x520 = x130 * x518
x521 = x1 * (x164 + x345 + 4.0 * x90)
x522 = x51 * x518
x523 = x521 + x522
x524 = x512 * x77
x525 = x518 * x95
x526 = 3.0 * x516
x527 = x1 * (x176 + x501 + 3.0 * x517 + x526) + x51 * x523
x528 = x1 * x206
x529 = x201 * x410
x530 = x1 * x219
x531 = x51 * x530
x532 = x230 * x512
x533 = x22 * x230
x534 = x124 * x512
x535 = x118 * x518
x536 = x116 * x523
x537 = x1 * x143
x538 = x12 * x523
x539 = x110 * x527
x540 = x151 * x512
x541 = x516 + x540
x542 = x344 * x410
x543 = x130 * x541
x544 = x151 * x518
x545 = x521 + x544
x546 = x22 * x541
x547 = x130 * x545
x548 = 2.0 * x540
x549 = 4.0 * x516
x550 = 2.0 * x517 + x549
x551 = x1 * (x267 + x548 + x550)
x552 = x51 * x545
x553 = x551 + x552
x554 = x219 * x424
x555 = x100 * x412 * x554
x556 = x541 * x67
x557 = x46 * x553
x558 = 2.0 * x522
x559 = x1 * (x277 + 5.0 * x521 + 3.0 * x544 + x558)
x560 = x251 * (x51 * x553 + x559)
x561 = x1 * x295
x562 = x1 * x216
x563 = x5 * x562
x564 = x292 * x381 * x563
x565 = x1 * x216 * x302 * x47
x566 = x1 * x304
x567 = x216 * x372
x568 = x201 * x71
x569 = x197 * x512
x570 = x1 * x112 * x214 * x216
x571 = x118 * x541
x572 = x216 * x412
x573 = x5 * x572
x574 = x110 * x553
x575 = x143 * x216 * x412
x576 = x254 * x71
x577 = x1 * x350 + 2.0 * x576
x578 = x47 * x577
x579 = x1 * (x260 + 4.0 * x344 + x91) + x151 * x541
x580 = x188 * x577
x581 = x151 * x545
x582 = x551 + x581
x583 = x46 * x582
x584 = x151 * x553
x585 = x559 + x584
x586 = x251 * x585
x587 = x1 * (4.0 * x190 + x24 + x97)
x588 = x13 + x17
x589 = x1 * x588
x590 = x190 + x96
x591 = x5 * x590
x592 = x589 + x591
x593 = x4 * x592
x594 = x587 + x593
x595 = x4 * x594
x596 = x5 * x594
x597 = x4 * x590
x598 = 2.0 * x597
x599 = 4.0 * x589
x600 = 2.0 * x591 + x599
x601 = x1 * (x26 + x598 + x600)
x602 = x5 * x592
x603 = 2.0 * x602
x604 = x1 * (x33 + 5.0 * x587 + 3.0 * x593 + x603)
x605 = x596 + x601
x606 = x4 * x605
x607 = x604 + x606
x608 = x39 * x607
x609 = x595 + x601
x610 = x51 * x609
x611 = x589 + x597
x612 = x1 * (x191 + x81 + 4.0 * x96) + x4 * x611
x613 = x56 * x612
x614 = x16 * x78
x615 = x1 * x80 + 2.0 * x614
x616 = x615 * x77
x617 = x59 * x615
x618 = x615 * x87
x619 = x39 * (x5 * x605 + x604)
x620 = x118 * x594
x621 = x124 * x611
x622 = x118 * x611
x623 = x116 * x611
x624 = x124 * x96
x625 = x380 * x96
x626 = x56 * x605
x627 = x594 * x87
x628 = x56 * x594
x629 = x611 * x77
x630 = x59 * x611
x631 = x611 * x87
x632 = x164 * x59
x633 = 3.0 * x589
x634 = x1 * x18
x635 = x1 * x15
x636 = x634 + 2.0 * x635
x637 = x587 + x602
x638 = x1 * (x193 + 3.0 * x591 + x633 + x636) + x5 * x637
x639 = x197 * x592
x640 = x187 * x592
x641 = x197 * x590
x642 = x590 * x92
x643 = x216 * x67
x644 = x16 * x201
x645 = x16 * x197
x646 = x224 * x638
x647 = x118 * x637
x648 = x116 * x637
x649 = x124 * x592
x650 = x118 * x592
x651 = x116 * x592
x652 = x164 * x590
x653 = x137 * x16
x654 = x124 * x16
x655 = x118 * x16
x656 = x256 * x592
x657 = x592 * x87
x658 = x590 * x77
x659 = x260 * x590
x660 = x16 * x77
x661 = x483 * x67
x662 = x1 * (x189 + 8.0 * x190) + x5 * x636
x663 = x190 * x289
x664 = x16 * x292
x665 = x16 * x289
x666 = x197 * x636
x667 = x156 * x636
x668 = x190 * x197
x669 = x187 * x190
x670 = x16 * x176
x671 = x118 * x636
x672 = x116 * x636
x673 = x124 * x190
x674 = x110 * x484
x675 = x346 * x59
x676 = 0.1154700538379251 * x41
x677 = x1 * x676
x678 = x608 * x677
x679 = 0.0769800358919501 * x61
x680 = x379 * x609
x681 = 0.1154700538379251 * x66
x682 = x39 * x681
x683 = x1 * x682
x684 = x54 * x676
x685 = 0.2309401076758503 * x66
x686 = x51 * x685
x687 = x379 * x612 * x686
x688 = x58 * x72
x689 = x612 * x681
x690 = 0.01649572197684645 * x41
x691 = x40 * x690
x692 = x54 * x691
x693 = x615 * x676
x694 = x679 * x72
x695 = x111 * x690
x696 = x1 * x695
x697 = x619 * x696
x698 = x54 * x681
x699 = 0.1924500897298752 * x126
x700 = x54 * x699
x701 = 0.5773502691896257 * x41
x702 = x701 * x84
x703 = x594 * x699
x704 = x701 * x72
x705 = x611 * x681
x706 = 0.0329914439536929 * x423
x707 = x1 * x456
x708 = x401 * x685
x709 = 0.3849001794597505 * x126
x710 = x709 * x72
x711 = x685 * x96
x712 = x0 ** (-2.0)
x713 = x251 * x712
x714 = x4 * x713
x715 = x107 * x706
x716 = x594 * x709
x717 = x58 * x701
x718 = 1.154700538379251 * x41
x719 = x718 * x75
x720 = x164 * x717
x721 = x412 * x706
x722 = x219 * x384 * x721
x723 = 0.7698003589195009 * x126
x724 = x164 * x723
x725 = x176 * x685
x726 = x1 * x706
x727 = x637 * x685
x728 = x590 * x701
x729 = x287 * x685
x730 = x445 * x696
x731 = x562 * x681
x732 = x16 * x72
x733 = x431 * x699
x734 = x426 * x681
x735 = x110 * x713
x736 = x226 * x690
x737 = x412 * x736
x738 = x39 * x638
x739 = 0.1154700538379251 * x61
x740 = x637 * x739
x741 = x396 * x701
x742 = 0.5773502691896257 * x126
x743 = x156 * x742
x744 = x590 * x739
x745 = x391 * x742
x746 = x216 * x406
x747 = x16 * x401
x748 = x16 * x164
x749 = x391 * x739
x750 = x256 * x681
x751 = x709 * x75
x752 = x256 * x695
x753 = x16 * x260
x754 = x378 * x681
x755 = x46 * x713
x756 = x267 * x709
x757 = x681 * x713
x758 = x277 * x757
x759 = x636 * x676
x760 = x470 * x5
x761 = x562 * x679
x762 = x468 * x563 * x686
x763 = x474 * x677
x764 = x468 * x681
x765 = x16 * x676
x766 = x224 * x662 * x721
x767 = x431 * x709
x768 = x190 * x718
x769 = x440 * x681
x770 = x16 * x701
x771 = x58 * x681
x772 = x5 * x713
x773 = 0.1539600717839002 * x61
x774 = x5 * x773
x775 = x351 * x685
x776 = x39 * x712
x777 = x681 * x776
x778 = x46 * x776
x779 = x685 * x82
x780 = x51 * x776
x781 = x676 * x71
x782 = x501 * x676
x783 = x33 * x777
x784 = x701 * x71
x785 = x26 * x709
x786 = x718 * x90
x787 = x681 * x95
x788 = x401 * x71
x789 = x709 * x90
x790 = x695 * x95
x791 = x512 * x701
x792 = x681 * x71
x793 = x523 * x58
x794 = x110 * x776
x795 = x193 * x685
x796 = x24 * x723
x797 = x501 * x681
x798 = x252 * x726
x799 = x110 * x505 * x798
x800 = x71 * x739
x801 = x512 * x739
x802 = x512 * x742
x803 = x518 * x701
x804 = x22 * x739
x805 = x151 * x776
x806 = x541 * x701
x807 = x344 * x685
x808 = x545 * x709
x809 = x553 * x681
x810 = x188 * x71
x811 = x679 * x90
x812 = x11 * x676
x813 = x11 * x691
x814 = x290 * x706
x815 = x188 * x701
x816 = x518 * x709
x817 = x523 * x685
x818 = x512 * x681
x819 = x11 * x699
x820 = x11 * x681
x821 = x483 * x539
x822 = x541 * x681
x823 = x344 * x709
x824 = x545 * x699
x825 = x545 * x701
x826 = x560 * x696
x827 = x577 * x676
x828 = x46 * x484 * x579 * x685
x829 = x484 * x582
x830 = x483 * x583
x831 = x586 * x677
x832 = 0.5 * x36
x833 = 3.0 * x712
x834 = x11 * x833
x835 = x635 + x834
x836 = x1 * (x600 + x835)
x837 = 3.0 * x1 * (x190 + x96)
x838 = x5 * x589
x839 = x837 + x838
x840 = x4 * x839
x841 = x836 + x840
x842 = x4 * x841
x843 = x5 * x841
x844 = 2.0 * x587
x845 = x4 * x589
x846 = x1 * (2.0 * x593 + 4.0 * x837 + 2.0 * x838 + x844 + 2.0 * x845)
x847 = x5 * x839
x848 = x1 * (2.0 * x596 + 2.0 * x601 + 5.0 * x836 + 3.0 * x840 + 2.0 * x847)
x849 = x843 + x846
x850 = x4 * x849 + x848
x851 = x38 * (
x1 * (2.0 * x604 + 2.0 * x606 + 3.0 * x842 + 3.0 * x843 + 6.0 * x846) + x5 * x850
)
x852 = 0.009523809523809524 * x41
x853 = x40 * x852
x854 = x38 * x832
x855 = x850 * x854
x856 = 0.06666666666666667 * x41
x857 = x56 * x833
x858 = x377 + x857
x859 = 0.5 * x858
x860 = 0.5 * x54
x861 = x842 + x846
x862 = 0.02222222222222222 * x61
x863 = x46 * x854
x864 = x51 * x861
x865 = x65 * x856
x866 = 0.5 * x72
x867 = x56 * x861
x868 = x54 * x833
x869 = x500 + x868
x870 = x53 * x58
x871 = 6.0 * x712
x872 = x46 * x858 + x87 * x871
x873 = x82 * x872
x874 = x614 + x834
x875 = x837 + x845
x876 = x1 * (x598 + x599 + x874) + x4 * x875
x877 = 0.5 * x84
x878 = x87 * x876
x879 = x75 * x82
x880 = 0.5 * x92
x881 = x56 * x876
x882 = x51 * x869 + x84 * x871
x883 = x12 * x871 + x4 * x874
x884 = 9.0 * x712
x885 = x1 * (2.0 * x376 + 7.0 * x377 + x56 * x884) + x46 * x872
x886 = x885 * x98
x887 = x872 * x98
x888 = x858 * x98
x889 = x87 * x883
x890 = 0.5 * x56
x891 = x107 * x883
x892 = x1 * (2.0 * x499 + 7.0 * x500 + x54 * x884) + x51 * x882
x893 = 0.5 * x58
x894 = x5 * x849 + x848
x895 = x854 * x894
x896 = x111 * x852
x897 = x118 * x849
x898 = x33 * x394
x899 = x110 * x849
x900 = x1 * x99 * (x110 + x46)
x901 = x394 * x46
x902 = x900 + x901
x903 = x26 * x902
x904 = 0.1111111111111111 * x126
x905 = x118 * x841
x906 = x26 * x394
x907 = 0.3333333333333333 * x41
x908 = x116 * x841
x909 = x26 * x287
x910 = x1 * (x437 + x858)
x911 = x46 * x902
x912 = x910 + x911
x913 = x81 * x912
x914 = x81 * x902
x915 = x118 * x875
x916 = x394 * x81
x917 = x116 * x875
x918 = x287 * x81
x919 = 0.5 * x874
x920 = 2.0 * x399
x921 = x1 * (x405 * x46 + x443 + x872 + 3.0 * x900 + x920) + x46 * x912
x922 = x921 * x95
x923 = x912 * x95
x924 = x124 * x874
x925 = x902 * x95
x926 = x394 * x95
x927 = 0.5 * x107
x928 = x287 * x95
x929 = x151 * x849
x930 = 0.5 * x156
x931 = x56 * x849
x932 = x33 * x58
x933 = 0.5 * x154
x934 = x841 * x87
x935 = x26 * x75
x936 = 0.5 * x164
x937 = x56 * x841
x938 = x1 * x106 * (x151 + x51)
x939 = x51 * x516
x940 = x938 + x939
x941 = x81 * x872
x942 = x81 * x858
x943 = x87 * x875
x944 = x176 * x875
x945 = x1 * (x550 + x869)
x946 = x51 * x940
x947 = x945 + x946
x948 = x885 * x95
x949 = x872 * x95
x950 = 0.5 * x176
x951 = x75 * x95
x952 = 2.0 * x521
x953 = x1 * (x51 * x526 + x558 + x882 + 3.0 * x938 + x952) + x51 * x947
x954 = x183 * x95
x955 = x466 + x857
x956 = x194 * x955
x957 = x20 * x871 + x5 * x835
x958 = x836 + x847
x959 = x1 * (x5 * x633 + x603 + 3.0 * x837 + x844 + x957) + x5 * x958
x960 = x197 * x958
x961 = x110 * x394
x962 = x900 + x961
x963 = x193 * x962
x964 = x193 * x955
x965 = x110 * x902
x966 = x910 + x965
x967 = x24 * x966
x968 = x201 * x839
x969 = x24 * x962
x970 = x197 * x839
x971 = x24 * x955
x972 = 0.5 * x22
x973 = x1 * (2.0 * x430 + 4.0 * x900 + 2.0 * x901 + x920 + 2.0 * x961)
x974 = x46 * x966
x975 = x973 + x974
x976 = x54 * x975
x977 = x84 * x966
x978 = x22 * x962
x979 = x92 * x955
x980 = x1 * (2.0 * x438 + 2.0 * x439 + 5.0 * x910 + 2.0 * x911 + 3.0 * x965)
x981 = x46 * x975 + x980
x982 = x215 * x832
x983 = x981 * x982
x984 = x4 * x982
x985 = x51 * x975
x986 = x12 * x966
x987 = x12 * x962
x988 = x12 * x955
x989 = x151 * x959
x990 = x226 * x852
x991 = x118 * x958
x992 = x193 * x394
x993 = x60 * x856
x994 = x116 * x958
x995 = x193 * x287
x996 = x24 * x902
x997 = x118 * x839
x998 = x24 * x394
x999 = x125 * x907
x1000 = x116 * x839
x1001 = x154 * x912
x1002 = x22 * x902
x1003 = x164 * x394
x1004 = x176 * x287
x1005 = x151 * x921
x1006 = x12 * x912
x1007 = x12 * x902
x1008 = x118 * x96
x1009 = x12 * x394
x1010 = 1.0 * x251
x1011 = x1010 * x4
x1012 = x1 * x1010
x1013 = x1012 * x4
x1014 = 0.5 * x256
x1015 = x56 * x959
x1016 = x576 + x868
x1017 = x194 * x58
x1018 = x87 * x958
x1019 = x193 * x75
x1020 = 0.5 * x260
x1021 = x56 * x958
x1022 = x151 * x516
x1023 = x1022 + x938
x1024 = x839 * x87
x1025 = x24 * x75
x1026 = x267 * x839
x1027 = x151 * x940
x1028 = x1027 + x945
x1029 = x256 * x872
x1030 = x267 * x75
x1031 = 0.5 * x267
x1032 = x1 * (2.0 * x1022 + 2.0 * x544 + 4.0 * x938 + 2.0 * x939 + x952)
x1033 = x1028 * x51
x1034 = x1032 + x1033
x1035 = x277 * x58
x1036 = x12 * x885
x1037 = x12 * x872
x1038 = x59 * x96
x1039 = x1 * (3.0 * x1027 + 2.0 * x551 + 2.0 * x552 + 5.0 * x945 + 2.0 * x946)
x1040 = x1010 * (x1034 * x51 + x1039)
x1041 = x1012 * x285
x1042 = x110 * x955 + x116 * x871
x1043 = x1042 * x290
x1044 = x1 * (x11 * x884 + 2.0 * x634 + 7.0 * x635) + x5 * x957
x1045 = x1044 * x289
x1046 = x292 * x957
x1047 = x1 * (x435 + x436 + x955) + x110 * x962
x1048 = x1047 * x192
x1049 = x289 * x957
x1050 = x1042 * x192
x1051 = 0.5 * x835
x1052 = x110 * x966
x1053 = x1052 + x973
x1054 = x1053 * x188
x1055 = x1047 * x188
x1056 = x289 * x835
x1057 = x1042 * x188
x1058 = x110 * x975 + x980
x1059 = x1058 * x982
x1060 = x5 * x982
x1061 = x1053 * x51
x1062 = x1047 * x20
x1063 = x1042 * x20
x1064 = x215 * (
x1 * (3.0 * x1052 + 2.0 * x444 + 2.0 * x472 + 6.0 * x973 + 3.0 * x974)
+ x1058 * x46
)
x1065 = x1053 * x11
x1066 = x1047 * x11
x1067 = 0.5 * x11
x1068 = x1042 * x107
x1069 = x290 * x955
x1070 = x197 * x957
x1071 = x192 * x962
x1072 = x192 * x955
x1073 = x188 * x966
x1074 = x197 * x835
x1075 = x188 * x962
x1076 = x187 * x835
x1077 = x188 * x955
x1078 = x151 * x975
x1079 = x20 * x966
x1080 = x20 * x962
x1081 = x20 * x955
x1082 = x11 * x975
x1083 = x11 * x966
x1084 = x176 * x962
x1085 = x183 * x955
x1086 = 0.5 * x16
x1087 = x1044 * x116
x1088 = x287 * x290
x1089 = x118 * x957
x1090 = x192 * x394
x1091 = x116 * x957
x1092 = x124 * x835
x1093 = x188 * x902
x1094 = x188 * x394
x1095 = x20 * x912
x1096 = x20 * x902
x1097 = x118 * x190
x1098 = x20 * x394
x1099 = x1010 * x5
x1100 = x1012 * x5
x1101 = x11 * x921
x1102 = x11 * x912
x1103 = x267 * x902
x1104 = x277 * x394
x1105 = x1044 * x346
x1106 = x1016 * x151 + x154 * x871
x1107 = 0.5 * x346
x1108 = x87 * x957
x1109 = x192 * x75
x1110 = x351 * x957
x1111 = x1 * (x1016 + x548 + x549) + x1023 * x151
x1112 = 0.5 * x351
x1113 = x188 * x75
x1114 = x1028 * x151
x1115 = x1032 + x1114
x1116 = x188 * x357
x1117 = x20 * x872
x1118 = x190 * x59
x1119 = x1034 * x151 + x1039
x1120 = x1010 * x1119
x1121 = x1012 * x362
x1122 = x346 * x885
x1123 = x351 * x872
x1124 = x59 * x71
x1125 = x56 * x691
x1126 = x605 * x681
x1127 = x216 * x712
x1128 = x1127 * x4
x1129 = x137 * x685
x1130 = x124 * x723
x1131 = x56 * x681
x1132 = x100 * x706
x1133 = x187 * x681
x1134 = x1127 * x681
x1135 = x1134 * x206
x1136 = x1127 * x51
x1137 = x201 * x709
x1138 = x187 * x695
x1139 = x590 * x742
x1140 = x1127 * x151
x1141 = x16 * x59
x1142 = x483 * x681
x1143 = x292 * x685
x1144 = x1127 * x5
x1145 = 0.8660254037844386 * x36
x1146 = x1145 * x38
x1147 = x1146 * x850
x1148 = x1146 * x370
x1149 = 0.8660254037844386 * x858
x1150 = x1146 * x46
x1151 = 0.8660254037844386 * x72
x1152 = 0.8660254037844386 * x54
x1153 = 0.8660254037844386 * x92
x1154 = 0.8660254037844386 * x84
x1155 = 0.8660254037844386 * x56
x1156 = 0.8660254037844386 * x58
x1157 = x1146 * x894
x1158 = x110 * x1146
x1159 = 0.8660254037844386 * x874
x1160 = 0.8660254037844386 * x107
x1161 = 0.8660254037844386 * x156
x1162 = 0.8660254037844386 * x164
x1163 = 0.8660254037844386 * x154
x1164 = 0.8660254037844386 * x176
x1165 = 0.8660254037844386 * x22
x1166 = x1145 * x215
x1167 = x1166 * x981
x1168 = x1166 * x4
x1169 = 0.8660254037844386 * x256
x1170 = 0.8660254037844386 * x260
x1171 = 0.8660254037844386 * x835
x1172 = x1058 * x1166
x1173 = x1166 * x5
x1174 = 0.8660254037844386 * x11
x1175 = 0.8660254037844386 * x267
x1176 = 0.8660254037844386 * x346
# 1350 item(s)
result[0, 0, 0] = x35 * x44
result[0, 0, 1] = x48 * x49
result[0, 0, 2] = x49 * x52
result[0, 0, 3] = x55 * x63
result[0, 0, 4] = x64 * x69
result[0, 0, 5] = x53 * x56 * x73
result[0, 0, 6] = x77 * x82 * x83
result[0, 0, 7] = x85 * x86
result[0, 0, 8] = x82 * x87 * x88
result[0, 0, 9] = x93 * x94
result[0, 0, 10] = x100 * x101 * x98
result[0, 0, 11] = x102 * x103
result[0, 0, 12] = x104 * x73
result[0, 0, 13] = x105 * x93
result[0, 0, 14] = x108 * x109
result[0, 1, 0] = x113 * x115
result[0, 1, 1] = x118 * x119 * x33
result[0, 1, 2] = x121 * x33
result[0, 1, 3] = x124 * x128 * x26
result[0, 1, 4] = x129 * x131
result[0, 1, 5] = x116 * x132 * x26
result[0, 1, 6] = x119 * x137 * x81
result[0, 1, 7] = x131 * x138
result[0, 1, 8] = x139 * x140
result[0, 1, 9] = x141 * x142
result[0, 1, 10] = x144 * x145
result[0, 1, 11] = x146 * x147
result[0, 1, 12] = x132 * x148
result[0, 1, 13] = x146 * x149
result[0, 1, 14] = x145 * x150
result[0, 2, 0] = x115 * x152
result[0, 2, 1] = x151 * x33 * x69
result[0, 2, 2] = x153 * x157
result[0, 2, 3] = x158 * x159
result[0, 2, 4] = x160 * x161
result[0, 2, 5] = x165 * x166
result[0, 2, 6] = x167 * x168
result[0, 2, 7] = x160 * x169
result[0, 2, 8] = x170 * x171
result[0, 2, 9] = x177 * x178
result[0, 2, 10] = x145 * x179
result[0, 2, 11] = x146 * x180
result[0, 2, 12] = x158 * x181
result[0, 2, 13] = x146 * x182
result[0, 2, 14] = x145 * x184
result[0, 3, 0] = x187 * x194 * x195
result[0, 3, 1] = x119 * x193 * x197
result[0, 3, 2] = x199 * x84
result[0, 3, 3] = x128 * x201 * x24
result[0, 3, 4] = x131 * x202
result[0, 3, 5] = x132 * x203
result[0, 3, 6] = x206 * x208
result[0, 3, 7] = x201 * x209
result[0, 3, 8] = x140 * x210
result[0, 3, 9] = x211 * x92
result[0, 3, 10] = x212 * x217
result[0, 3, 11] = x218 * x220
result[0, 3, 12] = x12 * x132 * x201
result[0, 3, 13] = x142 * x221
result[0, 3, 14] = x107 * x223
result[0, 4, 0] = x225 * x228
result[0, 4, 1] = x229 * x231
result[0, 4, 2] = x232 * x233
result[0, 4, 3] = x234 * x235
result[0, 4, 4] = x236 * x238
result[0, 4, 5] = x171 * x239
result[0, 4, 6] = x137 * x240
result[0, 4, 7] = x124 * x241
result[0, 4, 8] = x118 * x243
result[0, 4, 9] = x116 * x245
result[0, 4, 10] = x143 * x151 * x246
result[0, 4, 11] = x233 * x247
result[0, 4, 12] = x171 * x248
result[0, 4, 13] = x118 * x249
result[0, 4, 14] = x250 * x253
result[0, 5, 0] = x194 * x257 * x56
result[0, 5, 1] = x193 * x258 * x87
result[0, 5, 2] = x260 * x261
result[0, 5, 3] = x262 * x263
result[0, 5, 4] = x264 * x265
result[0, 5, 5] = x268 * x269
result[0, 5, 6] = x270 * x77
result[0, 5, 7] = x271 * x272
result[0, 5, 8] = x274 * x87
result[0, 5, 9] = x277 * x278
result[0, 5, 10] = x100 * x12 * x257
result[0, 5, 11] = x280 * x77
result[0, 5, 12] = x158 * x281
result[0, 5, 13] = x282 * x283
result[0, 5, 14] = x212 * x286
result[0, 6, 0] = x101 * x289 * x290
result[0, 6, 1] = x192 * x292 * x83
result[0, 6, 2] = x289 * x293
result[0, 6, 3] = x296 * x297
result[0, 6, 4] = x298 * x299
result[0, 6, 5] = x300 * x73
result[0, 6, 6] = x301 * x303
result[0, 6, 7] = x304 * x306
result[0, 6, 8] = x20 * x292 * x88
result[0, 6, 9] = x307 * x93
result[0, 6, 10] = x308 * x309
result[0, 6, 11] = x303 * x52
result[0, 6, 12] = x11 * x295 * x73
result[0, 6, 13] = x292 * x310
result[0, 6, 14] = x289 * x312
result[0, 7, 0] = x154 * x313
result[0, 7, 1] = x197 * x314
result[0, 7, 2] = x156 * x315
result[0, 7, 3] = x316 * x317
result[0, 7, 4] = x197 * x318
result[0, 7, 5] = x165 * x319
result[0, 7, 6] = x206 * x320
result[0, 7, 7] = x160 * x321
result[0, 7, 8] = x171 * x322
result[0, 7, 9] = x176 * x323
result[0, 7, 10] = x152 * x217
result[0, 7, 11] = x157 * x324
result[0, 7, 12] = x201 * x325
result[0, 7, 13] = x197 * x327
result[0, 7, 14] = x328 * x329
result[0, 8, 0] = x116 * x257 * x290
result[0, 8, 1] = x258 * x330
result[0, 8, 2] = x279 * x331
result[0, 8, 3] = x263 * x332
result[0, 8, 4] = x333 * x334
result[0, 8, 5] = x317 * x335
result[0, 8, 6] = x137 * x20 * x258
result[0, 8, 7] = x265 * x336
result[0, 8, 8] = x118 * x337
result[0, 8, 9] = x338 * x339
result[0, 8, 10] = x11 * x143 * x257
result[0, 8, 11] = x137 * x340
result[0, 8, 12] = x341 * x342
result[0, 8, 13] = x326 * x343
result[0, 8, 14] = x113 * x286
result[0, 9, 0] = x109 * x347
result[0, 9, 1] = x349 * x87
result[0, 9, 2] = x352 * x353
result[0, 9, 3] = x354 * x63
result[0, 9, 4] = x299 * x355
result[0, 9, 5] = x297 * x358
result[0, 9, 6] = x359 * x77
result[0, 9, 7] = x360 * x86
result[0, 9, 8] = x339 * x361
result[0, 9, 9] = x301 * x363
result[0, 9, 10] = x311 * x364
result[0, 9, 11] = x365 * x366
result[0, 9, 12] = x367 * x63
result[0, 9, 13] = x363 * x48
result[0, 9, 14] = x368 * x369
result[1, 0, 0] = 0
result[1, 0, 1] = x371
result[1, 0, 2] = 0
result[1, 0, 3] = x372 * x373 * x374
result[1, 0, 4] = x375 * x68
result[1, 0, 5] = 0
result[1, 0, 6] = x378 * x82 * x83
result[1, 0, 7] = x382
result[1, 0, 8] = x383 * x88
result[1, 0, 9] = 0
result[1, 0, 10] = x101 * x384 * x98
result[1, 0, 11] = x103 * x385
result[1, 0, 12] = x386 * x387
result[1, 0, 13] = x388 * x93
result[1, 0, 14] = 0
result[1, 1, 0] = x390
result[1, 1, 1] = x119 * x33 * x391
result[1, 1, 2] = x393 * x68
result[1, 1, 3] = x128 * x26 * x396
result[1, 1, 4] = x131 * x397
result[1, 1, 5] = x132 * x398
result[1, 1, 6] = x119 * x401 * x81
result[1, 1, 7] = x131 * x402
result[1, 1, 8] = x140 * x403
result[1, 1, 9] = x404 * x67 * x81
result[1, 1, 10] = x145 * x406 * x54
result[1, 1, 11] = x146 * x401 * x84
result[1, 1, 12] = x132 * x407
result[1, 1, 13] = x146 * x408
result[1, 1, 14] = x107 * x145 * x58
result[1, 2, 0] = 0
result[1, 2, 1] = x409 * x68
result[1, 2, 2] = 0
result[1, 2, 3] = x411 * x413
result[1, 2, 4] = x160 * x398
result[1, 2, 5] = 0
result[1, 2, 6] = x168 * x414
result[1, 2, 7] = x415 * x417
result[1, 2, 8] = x418 * x81
result[1, 2, 9] = 0
result[1, 2, 10] = x145 * x154 * x384
result[1, 2, 11] = x146 * x419
result[1, 2, 12] = x181 * x420
result[1, 2, 13] = x146 * x421
result[1, 2, 14] = 0
result[1, 3, 0] = x422 * x424
result[1, 3, 1] = x119 * x193 * x426
result[1, 3, 2] = x428 * x429
result[1, 3, 3] = x128 * x24 * x431
result[1, 3, 4] = x131 * x432
result[1, 3, 5] = x433 * x434
result[1, 3, 6] = x208 * x440
result[1, 3, 7] = x209 * x431
result[1, 3, 8] = x140 * x441
result[1, 3, 9] = x287 * x442 * x92
result[1, 3, 10] = x212 * x445
result[1, 3, 11] = x220 * x446
result[1, 3, 12] = x12 * x132 * x431
result[1, 3, 13] = x142 * x447
result[1, 3, 14] = x449
result[1, 4, 0] = x227 * x451
result[1, 4, 1] = x231 * x452
result[1, 4, 2] = x233 * x453
result[1, 4, 3] = x235 * x454
result[1, 4, 4] = x238 * x455
result[1, 4, 5] = x24 * x418
result[1, 4, 6] = x240 * x401
result[1, 4, 7] = x241 * x396
result[1, 4, 8] = x243 * x391
result[1, 4, 9] = x245 * x58
result[1, 4, 10] = x228 * x456
result[1, 4, 11] = x233 * x457
result[1, 4, 12] = x171 * x458
result[1, 4, 13] = x249 * x391
result[1, 4, 14] = x253 * x459
result[1, 5, 0] = 0
result[1, 5, 1] = x258 * x453
result[1, 5, 2] = 0
result[1, 5, 3] = x420 * x460
result[1, 5, 4] = x265 * x461
result[1, 5, 5] = 0
result[1, 5, 6] = x270 * x378
result[1, 5, 7] = x271 * x416 * x75
result[1, 5, 8] = x274 * x58
result[1, 5, 9] = 0
result[1, 5, 10] = x12 * x257 * x384
result[1, 5, 11] = x280 * x378
result[1, 5, 12] = x463 * x464
result[1, 5, 13] = x283 * x465
result[1, 5, 14] = 0
result[1, 6, 0] = x101 * x290 * x467
result[1, 6, 1] = x192 * x468 * x83
result[1, 6, 2] = x293 * x467
result[1, 6, 3] = x297 * x470 * x54
result[1, 6, 4] = x299 * x468 * x84
result[1, 6, 5] = x471 * x73
result[1, 6, 6] = x301 * x474
result[1, 6, 7] = x306 * x475
result[1, 6, 8] = x20 * x468 * x88
result[1, 6, 9] = x476 * x93
result[1, 6, 10] = x309 * (
x1 * (x302 + 6.0 * x438 + 3.0 * x439 + 3.0 * x469) + x46 * x473
)
result[1, 6, 11] = x474 * x52
result[1, 6, 12] = x11 * x470 * x73
result[1, 6, 13] = x310 * x468
result[1, 6, 14] = x312 * x467
result[1, 7, 0] = x477
result[1, 7, 1] = x314 * x426
result[1, 7, 2] = x156 * x380 * x478
result[1, 7, 3] = x154 * x317 * x431
result[1, 7, 4] = x318 * x426
result[1, 7, 5] = x479 * x480
result[1, 7, 6] = x320 * x440
result[1, 7, 7] = x160 * x481
result[1, 7, 8] = x171 * x482
result[1, 7, 9] = x110 * x176 * x485
result[1, 7, 10] = x152 * x445
result[1, 7, 11] = x157 * x486
result[1, 7, 12] = x325 * x431
result[1, 7, 13] = x327 * x426
result[1, 7, 14] = x424 * x487
result[1, 8, 0] = x257 * x290 * x58
result[1, 8, 1] = x258 * x488
result[1, 8, 2] = x279 * x489
result[1, 8, 3] = x263 * x490
result[1, 8, 4] = x334 * x491
result[1, 8, 5] = x317 * x492
result[1, 8, 6] = x20 * x258 * x401
result[1, 8, 7] = x265 * x493
result[1, 8, 8] = x337 * x391
result[1, 8, 9] = x339 * x465
result[1, 8, 10] = x11 * x257 * x406
result[1, 8, 11] = x340 * x401
result[1, 8, 12] = x267 * x342 * x396
result[1, 8, 13] = x277 * x326 * x391
result[1, 8, 14] = x494
result[1, 9, 0] = 0
result[1, 9, 1] = x349 * x58
result[1, 9, 2] = 0
result[1, 9, 3] = x354 * x372 * x75
result[1, 9, 4] = x299 * x351 * x58
result[1, 9, 5] = 0
result[1, 9, 6] = x359 * x378
result[1, 9, 7] = x495
result[1, 9, 8] = x1 * x339 * x357
result[1, 9, 9] = 0
result[1, 9, 10] = x311 * x346 * x384
result[1, 9, 11] = x351 * x366 * x378
result[1, 9, 12] = x361 * x496
result[1, 9, 13] = x497
result[1, 9, 14] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x371
result[2, 0, 3] = 0
result[2, 0, 4] = x373 * x69
result[2, 0, 5] = x372 * x375 * x39
result[2, 0, 6] = 0
result[2, 0, 7] = x498 * x59 * x82
result[2, 0, 8] = x382
result[2, 0, 9] = x502 * x94
result[2, 0, 10] = 0
result[2, 0, 11] = x102 * x503
result[2, 0, 12] = x104 * x504
result[2, 0, 13] = x105 * x502
result[2, 0, 14] = x109 * x505 * x98
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x110 * x392 * x68
result[2, 1, 3] = 0
result[2, 1, 4] = x129 * x506
result[2, 1, 5] = x411 * x428
result[2, 1, 6] = 0
result[2, 1, 7] = x138 * x506
result[2, 1, 8] = x139 * x507
result[2, 1, 9] = x141 * x508
result[2, 1, 10] = 0
result[2, 1, 11] = x146 * x509
result[2, 1, 12] = x148 * x510
result[2, 1, 13] = x146 * x511
result[2, 1, 14] = x116 * x145 * x505
result[2, 2, 0] = x390
result[2, 2, 1] = x392 * x69
result[2, 2, 2] = x153 * x513
result[2, 2, 3] = x158 * x26 * x71
result[2, 2, 4] = x161 * x514
result[2, 2, 5] = x166 * x519
result[2, 2, 6] = x167 * x498
result[2, 2, 7] = x169 * x514
result[2, 2, 8] = x170 * x520
result[2, 2, 9] = x178 * x523 * x81
result[2, 2, 10] = x100 * x145 * x71
result[2, 2, 11] = x146 * x524
result[2, 2, 12] = x158 * x525
result[2, 2, 13] = x146 * x523 * x87
result[2, 2, 14] = x145 * x527 * x56
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x199 * x71
result[2, 3, 3] = 0
result[2, 3, 4] = x202 * x506
result[2, 3, 5] = x203 * x510
result[2, 3, 6] = 0
result[2, 3, 7] = x201 * x22 * x506
result[2, 3, 8] = x210 * x507
result[2, 3, 9] = x211 * x501
result[2, 3, 10] = 0
result[2, 3, 11] = x220 * x528
result[2, 3, 12] = x529 * x531
result[2, 3, 13] = x221 * x508
result[2, 3, 14] = x223 * x505
result[2, 4, 0] = x227 * x422
result[2, 4, 1] = x229 * x230 * x71
result[2, 4, 2] = x232 * x532
result[2, 4, 3] = x234 * x506
result[2, 4, 4] = x236 * x237 * x512
result[2, 4, 5] = x239 * x520
result[2, 4, 6] = x509 * x533
result[2, 4, 7] = x242 * x534
result[2, 4, 8] = x242 * x535
result[2, 4, 9] = x533 * x536
result[2, 4, 10] = x246 * x537
result[2, 4, 11] = x247 * x532
result[2, 4, 12] = x248 * x520
result[2, 4, 13] = x118 * x230 * x538
result[2, 4, 14] = x253 * x539
result[2, 5, 0] = x424 * x451
result[2, 5, 1] = x413 * x429
result[2, 5, 2] = x261 * x541
result[2, 5, 3] = x262 * x542
result[2, 5, 4] = x264 * x543
result[2, 5, 5] = x24 * x269 * x545
result[2, 5, 6] = x344 * x442 * x77
result[2, 5, 7] = x272 * x546
result[2, 5, 8] = x22 * x547 * x87
result[2, 5, 9] = x278 * x553
result[2, 5, 10] = x555
result[2, 5, 11] = x12 * x556 * x77
result[2, 5, 12] = x12 * x158 * x545
result[2, 5, 13] = x283 * x557
result[2, 5, 14] = x212 * x560
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = x192 * x289 * x503
result[2, 6, 3] = 0
result[2, 6, 4] = x292 * x299 * x71
result[2, 6, 5] = x300 * x504
result[2, 6, 6] = 0
result[2, 6, 7] = x306 * x561
result[2, 6, 8] = x564
result[2, 6, 9] = x307 * x502
result[2, 6, 10] = 0
result[2, 6, 11] = x565
result[2, 6, 12] = x566 * x567
result[2, 6, 13] = x292 * x366 * x501
result[2, 6, 14] = x289 * x311 * x505
result[2, 7, 0] = x313 * x71
result[2, 7, 1] = x192 * x197 * x498
result[2, 7, 2] = x315 * x512
result[2, 7, 3] = x317 * x568
result[2, 7, 4] = x334 * x569
result[2, 7, 5] = x319 * x519
result[2, 7, 6] = x306 * x528
result[2, 7, 7] = x321 * x514
result[2, 7, 8] = x322 * x520
result[2, 7, 9] = x323 * x523
result[2, 7, 10] = x570
result[2, 7, 11] = x324 * x513
result[2, 7, 12] = x11 * x201 * x519
result[2, 7, 13] = x197 * x326 * x523
result[2, 7, 14] = x187 * x329 * x527
result[2, 8, 0] = x477
result[2, 8, 1] = x330 * x344 * x380
result[2, 8, 2] = x331 * x556
result[2, 8, 3] = x332 * x542
result[2, 8, 4] = x334 * x571
result[2, 8, 5] = x116 * x317 * x545
result[2, 8, 6] = x137 * x380 * x573
result[2, 8, 7] = x336 * x543
result[2, 8, 8] = x118 * x20 * x547
result[2, 8, 9] = x339 * x574
result[2, 8, 10] = x424 * x575
result[2, 8, 11] = x137 * x326 * x541
result[2, 8, 12] = x124 * x342 * x545
result[2, 8, 13] = x118 * x326 * x553
result[2, 8, 14] = x113 * x560
result[2, 9, 0] = x109 * x290 * x577
result[2, 9, 1] = x192 * x578 * x87
result[2, 9, 2] = x192 * x353 * x579
result[2, 9, 3] = x580 * x63
result[2, 9, 4] = x299 * x579 * x87
result[2, 9, 5] = x297 * x56 * x582
result[2, 9, 6] = x20 * x578 * x77
result[2, 9, 7] = x20 * x579 * x86
result[2, 9, 8] = x339 * x583
result[2, 9, 9] = x301 * x586
result[2, 9, 10] = x100 * x311 * x577
result[2, 9, 11] = x366 * x579 * x77
result[2, 9, 12] = x11 * x582 * x63
result[2, 9, 13] = x48 * x586
result[2, 9, 14] = x369 * (
x1 * (x362 + 6.0 * x551 + 3.0 * x552 + 3.0 * x581) + x51 * x585
)
result[3, 0, 0] = x44 * (
x1 * (x34 + 3.0 * x595 + 3.0 * x596 + 6.0 * x601) + x5 * x607
)
result[3, 0, 1] = x48 * x608
result[3, 0, 2] = x52 * x608
result[3, 0, 3] = x54 * x609 * x63
result[3, 0, 4] = x610 * x69
result[3, 0, 5] = x56 * x609 * x73
result[3, 0, 6] = x612 * x77 * x83
result[3, 0, 7] = x612 * x84 * x86
result[3, 0, 8] = x612 * x87 * x88
result[3, 0, 9] = x613 * x93
result[3, 0, 10] = x100 * x101 * x615
result[3, 0, 11] = x103 * x616
result[3, 0, 12] = x617 * x73
result[3, 0, 13] = x618 * x93
result[3, 0, 14] = x107 * x109 * x615
result[3, 1, 0] = x113 * x619
result[3, 1, 1] = x118 * x119 * x605
result[3, 1, 2] = x121 * x605
result[3, 1, 3] = x124 * x128 * x594
result[3, 1, 4] = x131 * x620
result[3, 1, 5] = x116 * x132 * x594
result[3, 1, 6] = x119 * x137 * x611
result[3, 1, 7] = x131 * x621
result[3, 1, 8] = x140 * x622
result[3, 1, 9] = x142 * x623
result[3, 1, 10] = x537 * x554
result[3, 1, 11] = x137 * x381 * x530
result[3, 1, 12] = x434 * x624
result[3, 1, 13] = x149 * x625
result[3, 1, 14] = x449
result[3, 2, 0] = x152 * x619
result[3, 2, 1] = x151 * x605 * x69
result[3, 2, 2] = x157 * x626
result[3, 2, 3] = x154 * x158 * x594
result[3, 2, 4] = x160 * x627
result[3, 2, 5] = x165 * x628
result[3, 2, 6] = x168 * x629
result[3, 2, 7] = x160 * x630
result[3, 2, 8] = x171 * x631
result[3, 2, 9] = x176 * x178 * x611
result[3, 2, 10] = x555
result[3, 2, 11] = x180 * x625
result[3, 2, 12] = x410 * x632 * x96
result[3, 2, 13] = x176 * x380 * x463
result[3, 2, 14] = x448 * x459
result[3, 3, 0] = x187 * x195 * x638
result[3, 3, 1] = x119 * x197 * x637
result[3, 3, 2] = x198 * x637 * x84
result[3, 3, 3] = x128 * x201 * x592
result[3, 3, 4] = x131 * x639
result[3, 3, 5] = x132 * x640
result[3, 3, 6] = x119 * x206 * x590
result[3, 3, 7] = x131 * x201 * x590
result[3, 3, 8] = x140 * x641
result[3, 3, 9] = x198 * x642
result[3, 3, 10] = x570
result[3, 3, 11] = x1 * x218 * x643
result[3, 3, 12] = x132 * x644
result[3, 3, 13] = x142 * x645
result[3, 3, 14] = x107 * x16 * x222
result[3, 4, 0] = x228 * x646
result[3, 4, 1] = x231 * x647
result[3, 4, 2] = x233 * x648
result[3, 4, 3] = x235 * x649
result[3, 4, 4] = x238 * x650
result[3, 4, 5] = x171 * x651
result[3, 4, 6] = x137 * x231 * x590
result[3, 4, 7] = x124 * x238 * x590
result[3, 4, 8] = x118 * x237 * x652
result[3, 4, 9] = x116 * x244 * x590
result[3, 4, 10] = x227 * x575
result[3, 4, 11] = x233 * x653
result[3, 4, 12] = x171 * x654
result[3, 4, 13] = x244 * x655
result[3, 4, 14] = x227 * x487
result[3, 5, 0] = x257 * x56 * x638
result[3, 5, 1] = x258 * x637 * x87
result[3, 5, 2] = x178 * x260 * x637
result[3, 5, 3] = x158 * x656
result[3, 5, 4] = x265 * x657
result[3, 5, 5] = x267 * x269 * x592
result[3, 5, 6] = x258 * x658
result[3, 5, 7] = x272 * x659
result[3, 5, 8] = x273 * x590 * x87
result[3, 5, 9] = x178 * x277 * x590
result[3, 5, 10] = x100 * x16 * x257
result[3, 5, 11] = x279 * x660
result[3, 5, 12] = x158 * x16 * x267
result[3, 5, 13] = x282 * x661
result[3, 5, 14] = x494
result[3, 6, 0] = x101 * x289 * x662
result[3, 6, 1] = x292 * x636 * x83
result[3, 6, 2] = x103 * x289 * x636
result[3, 6, 3] = x5 * x561 * x567
result[3, 6, 4] = x564
result[3, 6, 5] = x387 * x663
result[3, 6, 6] = x565
result[3, 6, 7] = x566 * x643
result[3, 6, 8] = x664 * x88
result[3, 6, 9] = x665 * x93
result[3, 6, 10] = 0
result[3, 6, 11] = 0
result[3, 6, 12] = 0
result[3, 6, 13] = 0
result[3, 6, 14] = 0
result[3, 7, 0] = x154 * x222 * x662
result[3, 7, 1] = x168 * x666
result[3, 7, 2] = x198 * x667
result[3, 7, 3] = x529 * x573
result[3, 7, 4] = x417 * x668
result[3, 7, 5] = x480 * x669
result[3, 7, 6] = x206 * x412 * x643
result[3, 7, 7] = x160 * x644
result[3, 7, 8] = x171 * x645
result[3, 7, 9] = x198 * x670
result[3, 7, 10] = 0
result[3, 7, 11] = 0
result[3, 7, 12] = 0
result[3, 7, 13] = 0
result[3, 7, 14] = 0
result[3, 8, 0] = x116 * x257 * x662
result[3, 8, 1] = x258 * x671
result[3, 8, 2] = x279 * x672
result[3, 8, 3] = x256 * x410 * x673
result[3, 8, 4] = x190 * x333 * x416
result[3, 8, 5] = x464 * x674
result[3, 8, 6] = x258 * x653
result[3, 8, 7] = x265 * x654
result[3, 8, 8] = x273 * x655
result[3, 8, 9] = x338 * x661
result[3, 8, 10] = 0
result[3, 8, 11] = 0
result[3, 8, 12] = 0
result[3, 8, 13] = 0
result[3, 8, 14] = 0
result[3, 9, 0] = x109 * x346 * x662
result[3, 9, 1] = x348 * x636 * x87
result[3, 9, 2] = x351 * x353 * x636
result[3, 9, 3] = x190 * x372 * x675
result[3, 9, 4] = x495
result[3, 9, 5] = x357 * x496 * x5
result[3, 9, 6] = x348 * x660
result[3, 9, 7] = x16 * x351 * x86
result[3, 9, 8] = x361 * x661
result[3, 9, 9] = x497
result[3, 9, 10] = 0
result[3, 9, 11] = 0
result[3, 9, 12] = 0
result[3, 9, 13] = 0
result[3, 9, 14] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x678
result[4, 0, 2] = 0
result[4, 0, 3] = x679 * x680
result[4, 0, 4] = x610 * x683
result[4, 0, 5] = 0
result[4, 0, 6] = x378 * x612 * x684
result[4, 0, 7] = x687
result[4, 0, 8] = x688 * x689
result[4, 0, 9] = 0
result[4, 0, 10] = x384 * x615 * x692
result[4, 0, 11] = x378 * x693 * x84
result[4, 0, 12] = x615 * x694 * x75
result[4, 0, 13] = x404 * x693
result[4, 0, 14] = 0
result[4, 1, 0] = x697
result[4, 1, 1] = x391 * x605 * x698
result[4, 1, 2] = x51 * x605 * x683
result[4, 1, 3] = x396 * x594 * x700
result[4, 1, 4] = x391 * x594 * x702
result[4, 1, 5] = x688 * x703
result[4, 1, 6] = x401 * x611 * x698
result[4, 1, 7] = x396 * x611 * x702
result[4, 1, 8] = x391 * x611 * x704
result[4, 1, 9] = x404 * x705
result[4, 1, 10] = x706 * x707
result[4, 1, 11] = x531 * x708
result[4, 1, 12] = x396 * x710 * x96
result[4, 1, 13] = x408 * x711
result[4, 1, 14] = x714 * x715
result[4, 2, 0] = 0
result[4, 2, 1] = x412 * x605 * x682
result[4, 2, 2] = 0
result[4, 2, 3] = x413 * x716
result[4, 2, 4] = x156 * x594 * x717
result[4, 2, 5] = 0
result[4, 2, 6] = x154 * x378 * x705
result[4, 2, 7] = x156 * x611 * x719
result[4, 2, 8] = x611 * x720
result[4, 2, 9] = 0
result[4, 2, 10] = x722
result[4, 2, 11] = x419 * x711
result[4, 2, 12] = x46 * x714 * x724
result[4, 2, 13] = x714 * x725
result[4, 2, 14] = 0
result[4, 3, 0] = x646 * x726
result[4, 3, 1] = x426 * x637 * x698
result[4, 3, 2] = x428 * x727
result[4, 3, 3] = x431 * x592 * x700
result[4, 3, 4] = x426 * x592 * x702
result[4, 3, 5] = x287 * x592 * x710
result[4, 3, 6] = x440 * x590 * x698
result[4, 3, 7] = x431 * x728 * x84
result[4, 3, 8] = x426 * x590 * x704
result[4, 3, 9] = x642 * x729
result[4, 3, 10] = x730
result[4, 3, 11] = x446 * x731
result[4, 3, 12] = x732 * x733
result[4, 3, 13] = x16 * x734 * x92
result[4, 3, 14] = x715 * x735
result[4, 4, 0] = x737 * x738
result[4, 4, 1] = x154 * x391 * x740
result[4, 4, 2] = x156 * x58 * x740
result[4, 4, 3] = x154 * x592 * x741
result[4, 4, 4] = x391 * x592 * x743
result[4, 4, 5] = x592 * x720
result[4, 4, 6] = x154 * x401 * x744
result[4, 4, 7] = x396 * x590 * x743
result[4, 4, 8] = x652 * x745
result[4, 4, 9] = x421 * x744
result[4, 4, 10] = x737 * x746
result[4, 4, 11] = x156 * x739 * x747
result[4, 4, 12] = x741 * x748
result[4, 4, 13] = x670 * x749
result[4, 4, 14] = x183 * x713 * x736
result[4, 5, 0] = 0
result[4, 5, 1] = x58 * x637 * x750
result[4, 5, 2] = 0
result[4, 5, 3] = x656 * x751
result[4, 5, 4] = x260 * x592 * x717
result[4, 5, 5] = 0
result[4, 5, 6] = x378 * x590 * x750
result[4, 5, 7] = x659 * x719
result[4, 5, 8] = x492 * x728
result[4, 5, 9] = 0
result[4, 5, 10] = x16 * x384 * x752
result[4, 5, 11] = x753 * x754
result[4, 5, 12] = x755 * x756
result[4, 5, 13] = x758
result[4, 5, 14] = 0
result[4, 6, 0] = x467 * x662 * x692
result[4, 6, 1] = x468 * x636 * x684
result[4, 6, 2] = x467 * x759 * x84
result[4, 6, 3] = x760 * x761
result[4, 6, 4] = x762
result[4, 6, 5] = x190 * x467 * x694
result[4, 6, 6] = x763
result[4, 6, 7] = x475 * x731
result[4, 6, 8] = x732 * x764
result[4, 6, 9] = x467 * x765 * x92
result[4, 6, 10] = 0
result[4, 6, 11] = 0
result[4, 6, 12] = 0
result[4, 6, 13] = 0
result[4, 6, 14] = 0
result[4, 7, 0] = x766
result[4, 7, 1] = x154 * x636 * x734
result[4, 7, 2] = x667 * x729
result[4, 7, 3] = x573 * x767
result[4, 7, 4] = x156 * x426 * x768
result[4, 7, 5] = x5 * x724 * x735
result[4, 7, 6] = x572 * x769
result[4, 7, 7] = x156 * x431 * x770
result[4, 7, 8] = x426 * x701 * x748
result[4, 7, 9] = x725 * x735
result[4, 7, 10] = 0
result[4, 7, 11] = 0
result[4, 7, 12] = 0
result[4, 7, 13] = 0
result[4, 7, 14] = 0
result[4, 8, 0] = x58 * x662 * x752
result[4, 8, 1] = x391 * x636 * x750
result[4, 8, 2] = x260 * x636 * x771
result[4, 8, 3] = x190 * x256 * x396 * x709
result[4, 8, 4] = x491 * x768
result[4, 8, 5] = x756 * x772
result[4, 8, 6] = x747 * x750
result[4, 8, 7] = x741 * x753
result[4, 8, 8] = x267 * x391 * x770
result[4, 8, 9] = x758
result[4, 8, 10] = 0
result[4, 8, 11] = 0
result[4, 8, 12] = 0
result[4, 8, 13] = 0
result[4, 8, 14] = 0
result[4, 9, 0] = 0
result[4, 9, 1] = x346 * x58 * x759
result[4, 9, 2] = 0
result[4, 9, 3] = x346 * x755 * x774
result[4, 9, 4] = x772 * x775
result[4, 9, 5] = 0
result[4, 9, 6] = x346 * x378 * x765
result[4, 9, 7] = x755 * x775
result[4, 9, 8] = x357 * x757
result[4, 9, 9] = 0
result[4, 9, 10] = 0
result[4, 9, 11] = 0
result[4, 9, 12] = 0
result[4, 9, 13] = 0
result[4, 9, 14] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x53 * x777
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x778 * x779
result[5, 0, 8] = x779 * x780
result[5, 0, 9] = 0
result[5, 0, 10] = 0
result[5, 0, 11] = x385 * x781
result[5, 0, 12] = x51 * x773 * x778 * x98
result[5, 0, 13] = x388 * x782
result[5, 0, 14] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x783
result[5, 1, 3] = 0
result[5, 1, 4] = x397 * x784
result[5, 1, 5] = x780 * x785
result[5, 1, 6] = 0
result[5, 1, 7] = x402 * x784
result[5, 1, 8] = x403 * x786
result[5, 1, 9] = x501 * x771 * x81
result[5, 1, 10] = 0
result[5, 1, 11] = x787 * x788
result[5, 1, 12] = x407 * x789
result[5, 1, 13] = x391 * x501 * x787
result[5, 1, 14] = x505 * x58 * x790
result[5, 2, 0] = 0
result[5, 2, 1] = x783
result[5, 2, 2] = 0
result[5, 2, 3] = x778 * x785
result[5, 2, 4] = x398 * x791
result[5, 2, 5] = 0
result[5, 2, 6] = x414 * x792
result[5, 2, 7] = x415 * x512 * x718
result[5, 2, 8] = x518 * x717 * x81
result[5, 2, 9] = 0
result[5, 2, 10] = x384 * x71 * x790
result[5, 2, 11] = x378 * x512 * x787
result[5, 2, 12] = x525 * x751
result[5, 2, 13] = x787 * x793
result[5, 2, 14] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x794 * x795
result[5, 3, 3] = 0
result[5, 3, 4] = x432 * x784
result[5, 3, 5] = x120 * x776 * x796
result[5, 3, 6] = 0
result[5, 3, 7] = x22 * x431 * x784
result[5, 3, 8] = x441 * x786
result[5, 3, 9] = x22 * x501 * x729
result[5, 3, 10] = 0
result[5, 3, 11] = x530 * x769
result[5, 3, 12] = x531 * x767
result[5, 3, 13] = x447 * x797
result[5, 3, 14] = x799
result[5, 4, 0] = x194 * x736 * x776
result[5, 4, 1] = x452 * x800
result[5, 4, 2] = x453 * x801
result[5, 4, 3] = x454 * x784
result[5, 4, 4] = x455 * x802
result[5, 4, 5] = x461 * x803
result[5, 4, 6] = x788 * x804
result[5, 4, 7] = x22 * x396 * x802
result[5, 4, 8] = x22 * x518 * x745
result[5, 4, 9] = x793 * x804
result[5, 4, 10] = x707 * x736
result[5, 4, 11] = x457 * x801
result[5, 4, 12] = x458 * x803
result[5, 4, 13] = x538 * x749
result[5, 4, 14] = x462 * x527 * x736
result[5, 5, 0] = 0
result[5, 5, 1] = x795 * x805
result[5, 5, 2] = 0
result[5, 5, 3] = x151 * x778 * x796
result[5, 5, 4] = x461 * x806
result[5, 5, 5] = 0
result[5, 5, 6] = x22 * x378 * x807
result[5, 5, 7] = x546 * x719
result[5, 5, 8] = x22 * x545 * x717
result[5, 5, 9] = 0
result[5, 5, 10] = x722
result[5, 5, 11] = x12 * x541 * x754
result[5, 5, 12] = x463 * x808
result[5, 5, 13] = x462 * x809
result[5, 5, 14] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = x192 * x467 * x781
result[5, 6, 3] = 0
result[5, 6, 4] = x764 * x810
result[5, 6, 5] = x471 * x811
result[5, 6, 6] = 0
result[5, 6, 7] = x731 * x760
result[5, 6, 8] = x762
result[5, 6, 9] = x476 * x782
result[5, 6, 10] = 0
result[5, 6, 11] = x763
result[5, 6, 12] = x475 * x761
result[5, 6, 13] = x468 * x501 * x812
result[5, 6, 14] = x467 * x505 * x813
result[5, 7, 0] = x794 * x814
result[5, 7, 1] = x192 * x71 * x734
result[5, 7, 2] = x478 * x512 * x685
result[5, 7, 3] = x733 * x810
result[5, 7, 4] = x426 * x512 * x815
result[5, 7, 5] = x479 * x816
result[5, 7, 6] = x440 * x5 * x731
result[5, 7, 7] = x481 * x791
result[5, 7, 8] = x482 * x803
result[5, 7, 9] = x674 * x817
result[5, 7, 10] = x730
result[5, 7, 11] = x486 * x818
result[5, 7, 12] = x431 * x518 * x819
result[5, 7, 13] = x426 * x523 * x820
result[5, 7, 14] = x706 * x821
result[5, 8, 0] = x805 * x814
result[5, 8, 1] = x488 * x807
result[5, 8, 2] = x489 * x822
result[5, 8, 3] = x490 * x823
result[5, 8, 4] = x391 * x541 * x815
result[5, 8, 5] = x188 * x58 * x824
result[5, 8, 6] = x573 * x708
result[5, 8, 7] = x493 * x806
result[5, 8, 8] = x20 * x391 * x825
result[5, 8, 9] = x484 * x809
result[5, 8, 10] = x721 * x746
result[5, 8, 11] = x401 * x541 * x820
result[5, 8, 12] = x396 * x545 * x819
result[5, 8, 13] = x391 * x553 * x820
result[5, 8, 14] = x826
result[5, 9, 0] = 0
result[5, 9, 1] = x489 * x827
result[5, 9, 2] = 0
result[5, 9, 3] = x580 * x679 * x75
result[5, 9, 4] = x188 * x579 * x771
result[5, 9, 5] = 0
result[5, 9, 6] = x20 * x378 * x827
result[5, 9, 7] = x828
result[5, 9, 8] = x681 * x829
result[5, 9, 9] = 0
result[5, 9, 10] = x384 * x577 * x813
result[5, 9, 11] = x378 * x579 * x812
result[5, 9, 12] = x679 * x830
result[5, 9, 13] = x831
result[5, 9, 14] = 0
result[6, 0, 0] = x853 * (1.570796326794897 * x1 * x2 * x35 * x36 * x37 - x832 * x851)
result[6, 0, 1] = x46 * x856 * (1.570796326794897 * x1 * x2 * x34 * x36 * x37 - x855)
result[6, 0, 2] = x51 * x856 * (1.570796326794897 * x1 * x2 * x34 * x36 * x37 - x855)
result[6, 0, 3] = (
1.0 * x862 * (x1 * x36 * x53 * x59 * x8 * x9 - x55 * x859 - x59 * x860 * x861)
)
result[6, 0, 4] = x865 * (
1.570796326794897 * x1 * x2 * x36 * x37 * x46 * x51 * x53 - x863 * x864
)
result[6, 0, 5] = (
1.0 * x862 * (x37 * x53 * x8 * x869 * x9 - x866 * x867 - x866 * x870)
)
result[6, 0, 6] = (
1.0 * x856 * (x1 * x36 * x77 * x8 * x82 * x9 - x77 * x860 * x876 - x860 * x873)
)
result[6, 0, 7] = (
1.0
* x865
* (x1 * x36 * x51 * x59 * x8 * x82 * x9 - x59 * x876 * x877 - x85 * x859)
)
result[6, 0, 8] = (
1.0 * x865 * (x37 * x46 * x8 * x82 * x869 * x9 - x866 * x878 - x866 * x879)
)
result[6, 0, 9] = (
1.0 * x856 * (x37 * x8 * x82 * x882 * x9 - x383 * x880 - x880 * x881)
)
result[6, 0, 10] = (
1.0 * x853 * (x1 * x100 * x36 * x8 * x9 * x98 - x100 * x860 * x883 - x860 * x886)
)
result[6, 0, 11] = (
1.0
* x856
* (x1 * x36 * x51 * x77 * x8 * x9 * x98 - x77 * x877 * x883 - x877 * x887)
)
result[6, 0, 12] = 1.0 * x862 * (-x59 * x866 * x883 + x59 * x869 * x98 - x866 * x888)
result[6, 0, 13] = (
1.0 * x856 * (x37 * x46 * x8 * x882 * x9 * x98 - x386 * x880 - x880 * x889)
)
result[6, 0, 14] = (
1.0 * x853 * (-x108 * x893 + x37 * x8 * x892 * x9 * x98 - x890 * x891)
)
result[6, 1, 0] = (
x110 * x896 * (1.570796326794897 * x1 * x114 * x2 * x36 * x37 - x895)
)
result[6, 1, 1] = (
1.0 * x865 * (x1 * x118 * x33 * x36 * x8 * x9 - x860 * x897 - x860 * x898)
)
result[6, 1, 2] = (
x51 * x865 * (1.570796326794897 * x1 * x110 * x2 * x33 * x36 * x37 - x854 * x899)
)
result[6, 1, 3] = (
1.0 * x904 * (x1 * x124 * x26 * x36 * x8 * x9 - x124 * x841 * x860 - x860 * x903)
)
result[6, 1, 4] = (
1.0 * x907 * (x1 * x118 * x26 * x36 * x51 * x8 * x9 - x877 * x905 - x877 * x906)
)
result[6, 1, 5] = (
1.0 * x904 * (x110 * x26 * x37 * x8 * x869 * x9 - x866 * x908 - x866 * x909)
)
result[6, 1, 6] = (
1.0 * x865 * (x1 * x137 * x36 * x8 * x81 * x9 - x137 * x860 * x875 - x860 * x913)
)
result[6, 1, 7] = (
1.0
* x907
* (x1 * x124 * x36 * x51 * x8 * x81 * x9 - x124 * x875 * x877 - x877 * x914)
)
result[6, 1, 8] = 1.0 * x907 * (x118 * x81 * x869 - x866 * x915 - x866 * x916)
result[6, 1, 9] = (
1.0 * x865 * (x110 * x37 * x8 * x81 * x882 * x9 - x880 * x917 - x880 * x918)
)
result[6, 1, 10] = (
1.0 * x896 * (x1 * x143 * x36 * x8 * x9 * x95 - x144 * x919 - x860 * x922)
)
result[6, 1, 11] = (
1.0 * x865 * (x1 * x137 * x36 * x51 * x8 * x9 * x95 - x147 * x919 - x877 * x923)
)
result[6, 1, 12] = 1.0 * x904 * (x124 * x869 * x95 - x866 * x924 - x866 * x925)
result[6, 1, 13] = 1.0 * x865 * (x118 * x882 * x95 - x149 * x919 - x880 * x926)
result[6, 1, 14] = (
1.0 * x896 * (x110 * x37 * x8 * x892 * x9 * x95 - x150 * x919 - x927 * x928)
)
result[6, 2, 0] = (
x151 * x896 * (1.570796326794897 * x1 * x114 * x2 * x36 * x37 - x895)
)
result[6, 2, 1] = x865 * (
1.570796326794897 * x1 * x151 * x2 * x33 * x36 * x37 * x46 - x863 * x929
)
result[6, 2, 2] = (
1.0 * x865 * (x1 * x33 * x37 * x515 * x8 * x9 - x930 * x931 - x930 * x932)
)
result[6, 2, 3] = (
1.0
* x904
* (x1 * x151 * x26 * x36 * x59 * x8 * x9 - x159 * x859 - x59 * x841 * x933)
)
result[6, 2, 4] = (
1.0 * x907 * (x1 * x26 * x37 * x46 * x515 * x8 * x9 - x930 * x934 - x930 * x935)
)
result[6, 2, 5] = (
1.0 * x904 * (x26 * x37 * x8 * x9 * x940 - x398 * x936 - x936 * x937)
)
result[6, 2, 6] = (
1.0
* x865
* (x1 * x151 * x36 * x77 * x8 * x81 * x9 - x77 * x875 * x933 - x933 * x941)
)
result[6, 2, 7] = (
1.0 * x907 * (x1 * x515 * x59 * x81 - x59 * x875 * x930 - x930 * x942)
)
result[6, 2, 8] = (
1.0 * x907 * (x37 * x46 * x8 * x81 * x9 * x940 - x415 * x936 - x936 * x943)
)
result[6, 2, 9] = (
1.0 * x865 * (-x177 * x893 + x37 * x8 * x81 * x9 * x947 - x890 * x944)
)
result[6, 2, 10] = (
1.0 * x896 * (x1 * x100 * x151 * x36 * x8 * x9 * x95 - x179 * x919 - x933 * x948)
)
result[6, 2, 11] = 1.0 * x865 * (x1 * x515 * x77 * x95 - x180 * x919 - x930 * x949)
result[6, 2, 12] = 1.0 * x904 * (-x181 * x859 + x59 * x940 * x95 - x632 * x919)
result[6, 2, 13] = (
1.0 * x865 * (-x182 * x919 + x37 * x46 * x8 * x9 * x947 * x95 - x950 * x951)
)
result[6, 2, 14] = (
1.0 * x896 * (-x184 * x919 + x37 * x8 * x9 * x95 * x953 - x893 * x954)
)
result[6, 3, 0] = (
1.0 * x896 * (x1 * x187 * x194 * x36 * x8 * x9 - x187 * x860 * x959 - x860 * x956)
)
result[6, 3, 1] = (
1.0 * x865 * (x1 * x193 * x197 * x36 * x8 * x9 - x860 * x960 - x860 * x963)
)
result[6, 3, 2] = (
1.0
* x865
* (x1 * x187 * x193 * x36 * x51 * x8 * x9 - x187 * x877 * x958 - x877 * x964)
)
result[6, 3, 3] = (
1.0 * x904 * (x1 * x201 * x24 * x36 * x8 * x9 - x860 * x967 - x860 * x968)
)
result[6, 3, 4] = (
1.0 * x907 * (x1 * x197 * x24 * x36 * x51 * x8 * x9 - x877 * x969 - x877 * x970)
)
result[6, 3, 5] = 1.0 * x904 * (x187 * x24 * x869 - x187 * x839 * x866 - x866 * x971)
result[6, 3, 6] = (
1.0 * x865 * (x1 * x206 * x22 * x36 * x8 * x9 - x206 * x589 * x860 - x972 * x976)
)
result[6, 3, 7] = (
1.0
* x907
* (x1 * x201 * x22 * x36 * x51 * x8 * x9 - x201 * x589 * x877 - x972 * x977)
)
result[6, 3, 8] = 1.0 * x907 * (x197 * x22 * x869 - x197 * x589 * x866 - x866 * x978)
result[6, 3, 9] = 1.0 * x865 * (x187 * x22 * x882 - x187 * x589 * x880 - x972 * x979)
result[6, 3, 10] = x4 * x896 * (1.570796326794897 * x1 * x2 * x214 * x36 * x7 - x983)
result[6, 3, 11] = x865 * (
1.570796326794897 * x1 * x2 * x206 * x36 * x4 * x51 * x7 - x984 * x985
)
result[6, 3, 12] = (
1.0 * x904 * (x201 * x4 * x7 * x8 * x869 * x9 - x201 * x866 * x96 - x866 * x986)
)
result[6, 3, 13] = (
1.0 * x865 * (x197 * x4 * x7 * x8 * x882 * x9 - x197 * x880 * x96 - x880 * x987)
)
result[6, 3, 14] = (
1.0 * x896 * (x187 * x4 * x7 * x8 * x892 * x9 - x187 * x927 * x96 - x927 * x988)
)
result[6, 4, 0] = (
x110
* x990
* (1.570796326794897 * x1 * x151 * x194 * x2 * x36 * x37 - x854 * x989)
)
result[6, 4, 1] = (
1.0 * x993 * (x1 * x118 * x151 * x193 * x36 * x8 * x9 - x933 * x991 - x933 * x992)
)
result[6, 4, 2] = (
1.0 * x993 * (x1 * x110 * x193 * x37 * x515 * x8 * x9 - x930 * x994 - x930 * x995)
)
result[6, 4, 3] = (
1.0
* x907
* (x1 * x124 * x151 * x24 * x36 * x8 * x9 - x124 * x839 * x933 - x933 * x996)
)
result[6, 4, 4] = 1.0 * x999 * (x1 * x118 * x24 * x515 - x930 * x997 - x930 * x998)
result[6, 4, 5] = (
1.0 * x907 * (-x1000 * x936 + x110 * x24 * x37 * x8 * x9 * x940 - x433 * x936)
)
result[6, 4, 6] = (
1.0
* x993
* (x1 * x137 * x151 * x22 * x36 * x8 * x9 - x1001 * x972 - x137 * x589 * x933)
)
result[6, 4, 7] = (
1.0 * x999 * (x1 * x124 * x22 * x515 - x1002 * x930 - x124 * x589 * x930)
)
result[6, 4, 8] = (
1.0 * x999 * (-x1003 * x972 + x118 * x22 * x940 - x118 * x589 * x936)
)
result[6, 4, 9] = (
1.0
* x993
* (-x1004 * x972 + x110 * x22 * x37 * x8 * x9 * x947 - x116 * x589 * x950)
)
result[6, 4, 10] = x990 * (
1.570796326794897 * x1 * x143 * x151 * x2 * x36 * x4 * x7 - x1005 * x984
)
result[6, 4, 11] = (
1.0
* x993
* (x1 * x137 * x4 * x515 * x7 * x8 * x9 - x1006 * x930 - x137 * x930 * x96)
)
result[6, 4, 12] = (
1.0 * x907 * (-x1007 * x936 + x124 * x4 * x7 * x8 * x9 * x940 - x624 * x936)
)
result[6, 4, 13] = (
1.0 * x993 * (-x1008 * x950 - x1009 * x950 + x118 * x4 * x7 * x8 * x9 * x947)
)
result[6, 4, 14] = x990 * (x1011 * x110 * x953 - x1013 * x250)
result[6, 5, 0] = (
1.0 * x896 * (-x1014 * x1015 - x1014 * x1017 + x1016 * x194 * x37 * x8 * x9)
)
result[6, 5, 1] = (
1.0 * x865 * (-x1014 * x1018 - x1014 * x1019 + x1016 * x193 * x37 * x46 * x8 * x9)
)
result[6, 5, 2] = (
1.0 * x865 * (-x1020 * x1021 - x1020 * x453 + x1023 * x193 * x37 * x8 * x9)
)
result[6, 5, 3] = 1.0 * x904 * (-x1014 * x59 * x839 + x1016 * x24 * x59 - x460 * x859)
result[6, 5, 4] = (
1.0 * x907 * (-x1020 * x1024 - x1020 * x1025 + x1023 * x24 * x37 * x46 * x8 * x9)
)
result[6, 5, 5] = (
1.0 * x904 * (-x1026 * x890 + x1028 * x24 * x37 * x8 * x9 - x268 * x893)
)
result[6, 5, 6] = (
1.0 * x865 * (-x1014 * x589 * x77 + x1016 * x22 * x77 - x1029 * x972)
)
result[6, 5, 7] = 1.0 * x907 * (-x1020 * x589 * x59 + x1023 * x22 * x59 - x271 * x859)
result[6, 5, 8] = (
1.0
* x907
* (x1028 * x22 * x37 * x46 * x8 * x9 - x1030 * x972 - x1031 * x589 * x87)
)
result[6, 5, 9] = (
1.0 * x865 * (x1034 * x22 * x37 * x8 * x9 - x1035 * x972 - x277 * x589 * x890)
)
result[6, 5, 10] = (
1.0
* x896
* (-x100 * x1014 * x96 + x100 * x1016 * x4 * x7 * x8 * x9 - x1014 * x1036)
)
result[6, 5, 11] = (
1.0
* x865
* (-x1020 * x1037 - x1020 * x77 * x96 + x1023 * x4 * x7 * x77 * x8 * x9)
)
result[6, 5, 12] = (
1.0 * x904 * (x1028 * x4 * x59 * x7 * x8 * x9 - x1031 * x1038 - x281 * x859)
)
result[6, 5, 13] = x865 * (x1011 * x1034 * x46 - x1013 * x282)
result[6, 5, 14] = x4 * x896 * (x1040 - x1041)
result[6, 6, 0] = (
1.0 * x853 * (x1 * x289 * x290 * x36 * x8 * x9 - x1043 * x860 - x1045 * x860)
)
result[6, 6, 1] = (
1.0 * x856 * (x1 * x192 * x292 * x36 * x8 * x9 - x1046 * x860 - x1048 * x860)
)
result[6, 6, 2] = (
1.0
* x856
* (x1 * x192 * x289 * x36 * x51 * x8 * x9 - x1049 * x877 - x1050 * x877)
)
result[6, 6, 3] = (
1.0 * x862 * (x1 * x188 * x295 * x36 * x8 * x9 - x1051 * x296 - x1054 * x860)
)
result[6, 6, 4] = (
1.0
* x865
* (x1 * x188 * x292 * x36 * x51 * x8 * x9 - x1051 * x298 - x1055 * x877)
)
result[6, 6, 5] = 1.0 * x862 * (-x1056 * x866 - x1057 * x866 + x188 * x289 * x869)
result[6, 6, 6] = x5 * x856 * (1.570796326794897 * x1 * x2 * x302 * x36 * x7 - x1059)
result[6, 6, 7] = x865 * (
1.570796326794897 * x1 * x2 * x295 * x36 * x5 * x51 * x7 - x1060 * x1061
)
result[6, 6, 8] = (
1.0
* x865
* (-x1062 * x866 - x190 * x292 * x866 + x292 * x5 * x7 * x8 * x869 * x9)
)
result[6, 6, 9] = (
1.0 * x856 * (-x1063 * x880 + x289 * x5 * x7 * x8 * x882 * x9 - x663 * x880)
)
result[6, 6, 10] = x853 * (
1.570796326794897 * x1 * x2 * x308 * x36 * x7 - x1064 * x832
)
result[6, 6, 11] = (
x51 * x856 * (1.570796326794897 * x1 * x2 * x302 * x36 * x7 - x1059)
)
result[6, 6, 12] = (
1.0 * x862 * (-x1065 * x866 - x16 * x295 * x866 + x295 * x7 * x8 * x869 * x9)
)
result[6, 6, 13] = (
1.0 * x856 * (-x1066 * x880 + x292 * x7 * x8 * x882 * x9 - x664 * x880)
)
result[6, 6, 14] = (
1.0 * x853 * (-x1067 * x1068 + x289 * x7 * x8 * x892 * x9 - x665 * x927)
)
result[6, 7, 0] = (
1.0
* x896
* (x1 * x151 * x187 * x290 * x36 * x8 * x9 - x1044 * x187 * x933 - x1069 * x933)
)
result[6, 7, 1] = (
1.0
* x865
* (x1 * x151 * x192 * x197 * x36 * x8 * x9 - x1070 * x933 - x1071 * x933)
)
result[6, 7, 2] = (
1.0 * x865 * (x1 * x187 * x192 * x515 - x1072 * x930 - x187 * x930 * x957)
)
result[6, 7, 3] = (
1.0
* x904
* (x1 * x151 * x188 * x201 * x36 * x8 * x9 - x1051 * x316 - x1073 * x933)
)
result[6, 7, 4] = 1.0 * x907 * (x1 * x188 * x197 * x515 - x1074 * x930 - x1075 * x930)
result[6, 7, 5] = 1.0 * x904 * (-x1076 * x936 - x1077 * x936 + x187 * x188 * x940)
result[6, 7, 6] = x865 * (
1.570796326794897 * x1 * x151 * x2 * x206 * x36 * x5 * x7 - x1060 * x1078
)
result[6, 7, 7] = (
1.0
* x907
* (x1 * x201 * x5 * x515 * x7 * x8 * x9 - x1079 * x930 - x190 * x201 * x930)
)
result[6, 7, 8] = (
1.0 * x907 * (-x1080 * x936 + x197 * x5 * x7 * x8 * x9 * x940 - x668 * x936)
)
result[6, 7, 9] = (
1.0 * x865 * (-x1081 * x950 + x187 * x5 * x7 * x8 * x9 * x947 - x669 * x950)
)
result[6, 7, 10] = (
x151 * x896 * (1.570796326794897 * x1 * x2 * x214 * x36 * x7 - x983)
)
result[6, 7, 11] = (
1.0 * x865 * (x1 * x206 * x515 * x7 * x8 * x9 - x1082 * x930 - x16 * x206 * x930)
)
result[6, 7, 12] = (
1.0 * x904 * (-x1083 * x936 + x201 * x7 * x8 * x9 * x940 - x644 * x936)
)
result[6, 7, 13] = (
1.0 * x865 * (-x1067 * x1084 + x197 * x7 * x8 * x9 * x947 - x645 * x950)
)
result[6, 7, 14] = (
1.0 * x896 * (-x1067 * x1085 - x1086 * x328 + x187 * x7 * x8 * x9 * x953)
)
result[6, 8, 0] = (
1.0
* x896
* (-x1014 * x1087 - x1014 * x1088 + x1016 * x110 * x290 * x37 * x8 * x9)
)
result[6, 8, 1] = 1.0 * x865 * (-x1014 * x1089 - x1014 * x1090 + x1016 * x118 * x192)
result[6, 8, 2] = (
1.0 * x865 * (-x1020 * x1091 - x1020 * x478 + x1023 * x110 * x192 * x37 * x8 * x9)
)
result[6, 8, 3] = 1.0 * x904 * (-x1014 * x1092 - x1014 * x1093 + x1016 * x124 * x188)
result[6, 8, 4] = 1.0 * x907 * (-x1020 * x1094 + x1023 * x118 * x188 - x1051 * x333)
result[6, 8, 5] = (
1.0 * x904 * (x1028 * x110 * x188 * x37 * x8 * x9 - x1031 * x479 - x1051 * x335)
)
result[6, 8, 6] = (
1.0
* x865
* (-x1014 * x1095 - x1014 * x137 * x190 + x1016 * x137 * x5 * x7 * x8 * x9)
)
result[6, 8, 7] = (
1.0 * x907 * (-x1020 * x1096 - x1020 * x673 + x1023 * x124 * x5 * x7 * x8 * x9)
)
result[6, 8, 8] = (
1.0 * x907 * (x1028 * x118 * x5 * x7 * x8 * x9 - x1031 * x1097 - x1031 * x1098)
)
result[6, 8, 9] = x865 * (x1034 * x1099 * x110 - x1100 * x338)
result[6, 8, 10] = (
1.0 * x896 * (-x1014 * x1101 - x1014 * x143 * x16 + x1016 * x143 * x7 * x8 * x9)
)
result[6, 8, 11] = (
1.0 * x865 * (-x1020 * x1102 - x1020 * x653 + x1023 * x137 * x7 * x8 * x9)
)
result[6, 8, 12] = (
1.0 * x904 * (x1028 * x124 * x7 * x8 * x9 - x1067 * x1103 - x1086 * x341)
)
result[6, 8, 13] = (
1.0 * x865 * (x1034 * x118 * x7 * x8 * x9 - x1067 * x1104 - x1086 * x343)
)
result[6, 8, 14] = x110 * x896 * (x1040 - x1041)
result[6, 9, 0] = (
1.0 * x853 * (-x1105 * x890 + x1106 * x290 * x37 * x8 * x9 - x347 * x893)
)
result[6, 9, 1] = (
1.0 * x856 * (x1106 * x192 * x37 * x46 * x8 * x9 - x1107 * x1108 - x1107 * x1109)
)
result[6, 9, 2] = (
1.0 * x856 * (-x1110 * x890 + x1111 * x192 * x37 * x8 * x9 - x352 * x893)
)
result[6, 9, 3] = 1.0 * x862 * (-x1051 * x675 + x1106 * x188 * x59 - x354 * x859)
result[6, 9, 4] = (
1.0 * x865 * (-x1051 * x355 + x1111 * x188 * x37 * x46 * x8 * x9 - x1112 * x1113)
)
result[6, 9, 5] = (
1.0 * x862 * (-x1051 * x358 + x1115 * x188 * x37 * x8 * x9 - x1116 * x893)
)
result[6, 9, 6] = (
1.0
* x856
* (x1106 * x5 * x7 * x77 * x8 * x9 - x1107 * x1117 - x1107 * x190 * x77)
)
result[6, 9, 7] = (
1.0 * x865 * (x1111 * x5 * x59 * x7 * x8 * x9 - x1112 * x1118 - x360 * x859)
)
result[6, 9, 8] = x865 * (x1099 * x1115 * x46 - x1100 * x361)
result[6, 9, 9] = x5 * x856 * (x1120 - x1121)
result[6, 9, 10] = (
1.0 * x853 * (x100 * x1106 * x7 * x8 * x9 - x1067 * x1122 - x1086 * x364)
)
result[6, 9, 11] = (
1.0 * x856 * (-x1067 * x1123 - x1086 * x365 + x1111 * x7 * x77 * x8 * x9)
)
result[6, 9, 12] = (
1.0 * x862 * (-x1086 * x357 * x59 + x1115 * x59 * x7 * x8 * x9 - x367 * x859)
)
result[6, 9, 13] = x46 * x856 * (x1120 - x1121)
result[6, 9, 14] = x853 * (
x1010
* (
x1 * (6.0 * x1032 + 3.0 * x1033 + 3.0 * x1114 + 2.0 * x559 + 2.0 * x584)
+ x1119 * x51
)
- x1012 * x368
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x678
result[7, 0, 3] = 0
result[7, 0, 4] = x680 * x681
result[7, 0, 5] = x427 * x610 * x679
result[7, 0, 6] = 0
result[7, 0, 7] = x1124 * x689
result[7, 0, 8] = x687
result[7, 0, 9] = x613 * x782
result[7, 0, 10] = 0
result[7, 0, 11] = x616 * x781
result[7, 0, 12] = x617 * x811
result[7, 0, 13] = x618 * x782
result[7, 0, 14] = x1125 * x505 * x615
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x1 * x1126 * x224
result[7, 1, 3] = 0
result[7, 1, 4] = x620 * x784
result[7, 1, 5] = x428 * x716
result[7, 1, 6] = 0
result[7, 1, 7] = x621 * x784
result[7, 1, 8] = x622 * x786
result[7, 1, 9] = x623 * x797
result[7, 1, 10] = 0
result[7, 1, 11] = x1128 * x1129
result[7, 1, 12] = x1128 * x1130 * x51
result[7, 1, 13] = x511 * x711
result[7, 1, 14] = x799
result[7, 2, 0] = x697
result[7, 2, 1] = x1126 * x379
result[7, 2, 2] = x626 * x818
result[7, 2, 3] = x1124 * x703
result[7, 2, 4] = x627 * x791
result[7, 2, 5] = x518 * x628 * x699
result[7, 2, 6] = x629 * x792
result[7, 2, 7] = x630 * x791
result[7, 2, 8] = x631 * x803
result[7, 2, 9] = x1131 * x523 * x611
result[7, 2, 10] = x1128 * x1132
result[7, 2, 11] = x524 * x711
result[7, 2, 12] = x1038 * x816
result[7, 2, 13] = x463 * x817
result[7, 2, 14] = x527 * x798
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x1133 * x637 * x71
result[7, 3, 3] = 0
result[7, 3, 4] = x639 * x784
result[7, 3, 5] = x640 * x789
result[7, 3, 6] = 0
result[7, 3, 7] = x568 * x728
result[7, 3, 8] = x641 * x786
result[7, 3, 9] = x1133 * x501 * x590
result[7, 3, 10] = 0
result[7, 3, 11] = x1135
result[7, 3, 12] = x1136 * x1137
result[7, 3, 13] = x645 * x797
result[7, 3, 14] = x1138 * x16 * x505
result[7, 4, 0] = x1 * x646 * x736
result[7, 4, 1] = x647 * x800
result[7, 4, 2] = x648 * x801
result[7, 4, 3] = x649 * x784
result[7, 4, 4] = x650 * x802
result[7, 4, 5] = x651 * x803
result[7, 4, 6] = x509 * x744
result[7, 4, 7] = x1139 * x534
result[7, 4, 8] = x1139 * x535
result[7, 4, 9] = x536 * x744
result[7, 4, 10] = x1127 * x143 * x736
result[7, 4, 11] = x653 * x801
result[7, 4, 12] = x654 * x803
result[7, 4, 13] = x523 * x655 * x739
result[7, 4, 14] = x736 * x821
result[7, 5, 0] = x721 * x738
result[7, 5, 1] = x413 * x727
result[7, 5, 2] = x1131 * x541 * x637
result[7, 5, 3] = x59 * x592 * x823
result[7, 5, 4] = x657 * x806
result[7, 5, 5] = x56 * x592 * x824
result[7, 5, 6] = x658 * x807
result[7, 5, 7] = x541 * x59 * x728
result[7, 5, 8] = x545 * x728 * x87
result[7, 5, 9] = x1131 * x553 * x590
result[7, 5, 10] = x1132 * x1140
result[7, 5, 11] = x660 * x822
result[7, 5, 12] = x1141 * x824
result[7, 5, 13] = x1142 * x557
result[7, 5, 14] = x826
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = x289 * x71 * x759
result[7, 6, 3] = 0
result[7, 6, 4] = x1143 * x1144
result[7, 6, 5] = x1136 * x289 * x774
result[7, 6, 6] = 0
result[7, 6, 7] = x1134 * x295
result[7, 6, 8] = x1136 * x1143
result[7, 6, 9] = x665 * x782
result[7, 6, 10] = 0
result[7, 6, 11] = 0
result[7, 6, 12] = 0
result[7, 6, 13] = 0
result[7, 6, 14] = 0
result[7, 7, 0] = x1138 * x662 * x71
result[7, 7, 1] = x666 * x792
result[7, 7, 2] = x1133 * x512 * x636
result[7, 7, 3] = x1137 * x1144
result[7, 7, 4] = x569 * x768
result[7, 7, 5] = x669 * x816
result[7, 7, 6] = x1135
result[7, 7, 7] = x644 * x791
result[7, 7, 8] = x645 * x803
result[7, 7, 9] = x1133 * x16 * x523
result[7, 7, 10] = 0
result[7, 7, 11] = 0
result[7, 7, 12] = 0
result[7, 7, 13] = 0
result[7, 7, 14] = 0
result[7, 8, 0] = x766
result[7, 8, 1] = x671 * x807
result[7, 8, 2] = x672 * x822
result[7, 8, 3] = x1130 * x1140 * x5
result[7, 8, 4] = x571 * x768
result[7, 8, 5] = x674 * x808
result[7, 8, 6] = x1129 * x1140
result[7, 8, 7] = x654 * x806
result[7, 8, 8] = x655 * x825
result[7, 8, 9] = x1142 * x574
result[7, 8, 10] = 0
result[7, 8, 11] = 0
result[7, 8, 12] = 0
result[7, 8, 13] = 0
result[7, 8, 14] = 0
result[7, 9, 0] = x1125 * x577 * x662
result[7, 9, 1] = x577 * x759 * x87
result[7, 9, 2] = x56 * x579 * x759
result[7, 9, 3] = x1118 * x577 * x679
result[7, 9, 4] = x828
result[7, 9, 5] = x679 * x829
result[7, 9, 6] = x660 * x827
result[7, 9, 7] = x1141 * x579 * x681
result[7, 9, 8] = x681 * x830
result[7, 9, 9] = x831
result[7, 9, 10] = 0
result[7, 9, 11] = 0
result[7, 9, 12] = 0
result[7, 9, 13] = 0
result[7, 9, 14] = 0
result[8, 0, 0] = x853 * (-x1 * x1146 * x35 + x1145 * x851)
result[8, 0, 1] = x46 * x856 * (x1147 - x1148)
result[8, 0, 2] = x51 * x856 * (x1147 - x1148)
result[8, 0, 3] = -x862 * (
x1149 * x55 - 0.8660254037844386 * x36 * x59 * x8 * x861 * x9
)
result[8, 0, 4] = x1150 * x865 * (-x375 + x864)
result[8, 0, 5] = x1151 * x862 * (x867 - x870)
result[8, 0, 6] = -x856 * (
x1152 * x873 - 0.8660254037844386 * x36 * x77 * x8 * x876 * x9
)
result[8, 0, 7] = -x865 * (
x1149 * x85 - 0.8660254037844386 * x36 * x51 * x59 * x8 * x876 * x9
)
result[8, 0, 8] = x1151 * x865 * (x878 - x879)
result[8, 0, 9] = x1153 * x856 * (-x383 + x881)
result[8, 0, 10] = x853 * (
0.8660254037844386 * x100 * x36 * x8 * x883 * x9 - x1152 * x886
)
result[8, 0, 11] = -x856 * (
x1154 * x887 - 0.8660254037844386 * x36 * x51 * x77 * x8 * x883 * x9
)
result[8, 0, 12] = -x862 * (x1151 * x888 - 0.8660254037844386 * x59 * x72 * x883)
result[8, 0, 13] = x1153 * x856 * (-x386 + x889)
result[8, 0, 14] = x853 * (-x108 * x1156 + x1155 * x891)
result[8, 1, 0] = x896 * (x110 * x1157 - x1158 * x389)
result[8, 1, 1] = x1152 * x865 * (x897 - x898)
result[8, 1, 2] = x865 * (x1146 * x51 * x899 - x1158 * x393)
result[8, 1, 3] = -x904 * (
x1152 * x903 - 0.8660254037844386 * x124 * x36 * x8 * x841 * x9
)
result[8, 1, 4] = x1154 * x907 * (x905 - x906)
result[8, 1, 5] = x1151 * x904 * (x908 - x909)
result[8, 1, 6] = -x865 * (
x1152 * x913 - 0.8660254037844386 * x137 * x36 * x8 * x875 * x9
)
result[8, 1, 7] = -x907 * (
x1154 * x914 - 0.8660254037844386 * x124 * x36 * x51 * x8 * x875 * x9
)
result[8, 1, 8] = x1151 * x907 * (x915 - x916)
result[8, 1, 9] = x1153 * x865 * (x917 - x918)
result[8, 1, 10] = x896 * (-x1152 * x922 + x1159 * x144)
result[8, 1, 11] = x865 * (-x1154 * x923 + x1159 * x147)
result[8, 1, 12] = x1151 * x904 * (x924 - x925)
result[8, 1, 13] = x865 * (-x1153 * x926 + x1159 * x149)
result[8, 1, 14] = x896 * (x1159 * x150 - x1160 * x928)
result[8, 2, 0] = x151 * x896 * (-x1146 * x389 + x1157)
result[8, 2, 1] = x1150 * x865 * (-x409 + x929)
result[8, 2, 2] = x1161 * x865 * (x931 - x932)
result[8, 2, 3] = -x904 * (
x1149 * x159 - 0.8660254037844386 * x151 * x36 * x59 * x8 * x841 * x9
)
result[8, 2, 4] = x1161 * x907 * (x934 - x935)
result[8, 2, 5] = x1162 * x904 * (-x398 + x937)
result[8, 2, 6] = -x865 * (
x1163 * x941 - 0.8660254037844386 * x151 * x36 * x77 * x8 * x875 * x9
)
result[8, 2, 7] = -x907 * (x1161 * x942 - 0.8660254037844386 * x156 * x59 * x875)
result[8, 2, 8] = x1162 * x907 * (-x415 + x943)
result[8, 2, 9] = x865 * (x1155 * x944 - x1156 * x177)
result[8, 2, 10] = x896 * (x1159 * x179 - x1163 * x948)
result[8, 2, 11] = x865 * (x1159 * x180 - x1161 * x949)
result[8, 2, 12] = -x904 * (x1149 * x181 - 0.8660254037844386 * x164 * x59 * x874)
result[8, 2, 13] = x865 * (x1159 * x182 - x1164 * x951)
result[8, 2, 14] = x896 * (-x1156 * x954 + x1159 * x184)
result[8, 3, 0] = -x896 * (
x1152 * x956 - 0.8660254037844386 * x187 * x36 * x8 * x9 * x959
)
result[8, 3, 1] = x1152 * x865 * (x960 - x963)
result[8, 3, 2] = -x865 * (
x1154 * x964 - 0.8660254037844386 * x187 * x36 * x51 * x8 * x9 * x958
)
result[8, 3, 3] = x1152 * x904 * (-x967 + x968)
result[8, 3, 4] = x1154 * x907 * (-x969 + x970)
result[8, 3, 5] = -x904 * (x1151 * x971 - 0.8660254037844386 * x187 * x72 * x839)
result[8, 3, 6] = x865 * (
0.8660254037844386 * x1 * x206 * x36 * x588 * x8 * x9 - x1165 * x976
)
result[8, 3, 7] = x907 * (
0.8660254037844386 * x1 * x201 * x36 * x51 * x588 * x8 * x9 - x1165 * x977
)
result[8, 3, 8] = x907 * (0.8660254037844386 * x1 * x197 * x588 * x72 - x1151 * x978)
result[8, 3, 9] = x865 * (0.8660254037844386 * x1 * x187 * x588 * x92 - x1165 * x979)
result[8, 3, 10] = x4 * x896 * (2.720699046351327 * x1 * x2 * x214 * x36 * x7 - x1167)
result[8, 3, 11] = x865 * (
2.720699046351327 * x1 * x2 * x206 * x36 * x4 * x51 * x7 - x1168 * x985
)
result[8, 3, 12] = x904 * (
0.8660254037844386 * x1 * x201 * x4 * x7 * x72 * x8 * x9 - x1151 * x986
)
result[8, 3, 13] = x865 * (
0.8660254037844386 * x1 * x197 * x4 * x7 * x8 * x9 * x92 - x1153 * x987
)
result[8, 3, 14] = x896 * (
0.8660254037844386 * x1 * x107 * x187 * x4 * x7 * x8 * x9 - x1160 * x988
)
result[8, 4, 0] = x1158 * x990 * (-x450 + x989)
result[8, 4, 1] = x1163 * x993 * (x991 - x992)
result[8, 4, 2] = x1161 * x993 * (x994 - x995)
result[8, 4, 3] = -x907 * (
x1163 * x996 - 0.8660254037844386 * x124 * x151 * x36 * x8 * x839 * x9
)
result[8, 4, 4] = x1161 * x999 * (x997 - x998)
result[8, 4, 5] = x1162 * x907 * (x1000 - x433)
result[8, 4, 6] = x993 * (
0.8660254037844386 * x1 * x137 * x151 * x36 * x588 * x8 * x9 - x1001 * x1165
)
result[8, 4, 7] = x999 * (
0.8660254037844386 * x1 * x124 * x156 * x588 - x1002 * x1161
)
result[8, 4, 8] = x999 * (
0.8660254037844386 * x1 * x118 * x164 * x588 - x1003 * x1165
)
result[8, 4, 9] = x993 * (
0.8660254037844386 * x1 * x110 * x176 * x37 * x588 * x8 * x9 - x1004 * x1165
)
result[8, 4, 10] = x990 * (
2.720699046351327 * x1 * x143 * x151 * x2 * x36 * x4 * x7 - x1005 * x1168
)
result[8, 4, 11] = x993 * (
0.8660254037844386 * x1 * x137 * x156 * x4 * x7 * x8 * x9 - x1006 * x1161
)
result[8, 4, 12] = x907 * (
0.8660254037844386 * x1 * x124 * x164 * x4 * x7 * x8 * x9 - x1007 * x1162
)
result[8, 4, 13] = x1164 * x993 * (x1008 - x1009)
result[8, 4, 14] = 0
result[8, 5, 0] = x1169 * x896 * (x1015 - x1017)
result[8, 5, 1] = x1169 * x865 * (x1018 - x1019)
result[8, 5, 2] = x1170 * x865 * (x1021 - x453)
result[8, 5, 3] = -x904 * (x1149 * x460 - 0.8660254037844386 * x256 * x59 * x839)
result[8, 5, 4] = x1170 * x907 * (x1024 - x1025)
result[8, 5, 5] = x904 * (x1026 * x1155 - x1156 * x268)
result[8, 5, 6] = x865 * (0.8660254037844386 * x1 * x256 * x588 * x77 - x1029 * x1165)
result[8, 5, 7] = x907 * (0.8660254037844386 * x1 * x260 * x588 * x59 - x1149 * x271)
result[8, 5, 8] = x907 * (
0.8660254037844386 * x1 * x267 * x37 * x46 * x588 * x8 * x9 - x1030 * x1165
)
result[8, 5, 9] = x865 * (
0.8660254037844386 * x1 * x277 * x37 * x588 * x8 * x9 - x1035 * x1165
)
result[8, 5, 10] = x896 * (
0.8660254037844386 * x1 * x100 * x256 * x4 * x7 * x8 * x9 - x1036 * x1169
)
result[8, 5, 11] = x865 * (
0.8660254037844386 * x1 * x260 * x4 * x7 * x77 * x8 * x9 - x1037 * x1170
)
result[8, 5, 12] = x904 * (
0.8660254037844386 * x1 * x267 * x4 * x59 * x7 * x8 * x9 - x1149 * x281
)
result[8, 5, 13] = 0
result[8, 5, 14] = 0
result[8, 6, 0] = x1152 * x853 * (-x1043 + x1045)
result[8, 6, 1] = x1152 * x856 * (x1046 - x1048)
result[8, 6, 2] = x1154 * x856 * (x1049 - x1050)
result[8, 6, 3] = x862 * (-x1054 * x1152 + x1171 * x296)
result[8, 6, 4] = x865 * (-x1055 * x1154 + x1171 * x298)
result[8, 6, 5] = x1151 * x862 * (x1056 - x1057)
result[8, 6, 6] = x5 * x856 * (2.720699046351327 * x1 * x2 * x302 * x36 * x7 - x1172)
result[8, 6, 7] = x865 * (
2.720699046351327 * x1 * x2 * x295 * x36 * x5 * x51 * x7 - x1061 * x1173
)
result[8, 6, 8] = x865 * (
0.8660254037844386 * x1 * x292 * x5 * x7 * x72 * x8 * x9 - x1062 * x1151
)
result[8, 6, 9] = x856 * (
0.8660254037844386 * x1 * x289 * x5 * x7 * x8 * x9 * x92 - x1063 * x1153
)
result[8, 6, 10] = x853 * (
2.720699046351327 * x1 * x2 * x308 * x36 * x7 - x1064 * x1145
)
result[8, 6, 11] = (
x51 * x856 * (2.720699046351327 * x1 * x2 * x302 * x36 * x7 - x1172)
)
result[8, 6, 12] = x862 * (
0.8660254037844386 * x1 * x295 * x7 * x72 * x8 * x9 - x1065 * x1151
)
result[8, 6, 13] = x856 * (
0.8660254037844386 * x1 * x292 * x7 * x8 * x9 * x92 - x1066 * x1153
)
result[8, 6, 14] = x853 * (
0.8660254037844386 * x1 * x107 * x289 * x7 * x8 * x9 - x1068 * x1174
)
result[8, 7, 0] = x896 * (
0.8660254037844386 * x1044 * x151 * x187 * x36 * x8 * x9 - x1069 * x1163
)
result[8, 7, 1] = x1163 * x865 * (x1070 - x1071)
result[8, 7, 2] = -x865 * (x1072 * x1161 - 0.8660254037844386 * x156 * x187 * x957)
result[8, 7, 3] = x904 * (-x1073 * x1163 + x1171 * x316)
result[8, 7, 4] = x1161 * x907 * (x1074 - x1075)
result[8, 7, 5] = x1162 * x904 * (x1076 - x1077)
result[8, 7, 6] = x865 * (
2.720699046351327 * x1 * x151 * x2 * x206 * x36 * x5 * x7 - x1078 * x1173
)
result[8, 7, 7] = x907 * (
0.8660254037844386 * x1 * x156 * x201 * x5 * x7 * x8 * x9 - x1079 * x1161
)
result[8, 7, 8] = x907 * (
0.8660254037844386 * x1 * x164 * x197 * x5 * x7 * x8 * x9 - x1080 * x1162
)
result[8, 7, 9] = x865 * (
0.8660254037844386 * x1 * x176 * x187 * x5 * x7 * x8 * x9 - x1081 * x1164
)
result[8, 7, 10] = (
x151 * x896 * (2.720699046351327 * x1 * x2 * x214 * x36 * x7 - x1167)
)
result[8, 7, 11] = x865 * (
0.8660254037844386 * x1 * x156 * x206 * x7 * x8 * x9 - x1082 * x1161
)
result[8, 7, 12] = x904 * (
0.8660254037844386 * x1 * x164 * x201 * x7 * x8 * x9 - x1083 * x1162
)
result[8, 7, 13] = x865 * (
0.8660254037844386 * x1 * x176 * x197 * x7 * x8 * x9 - x1084 * x1174
)
result[8, 7, 14] = x896 * (
0.8660254037844386 * x1 * x183 * x187 * x7 * x8 * x9 - x1085 * x1174
)
result[8, 8, 0] = x1169 * x896 * (x1087 - x1088)
result[8, 8, 1] = x1169 * x865 * (x1089 - x1090)
result[8, 8, 2] = x1170 * x865 * (x1091 - x478)
result[8, 8, 3] = x1169 * x904 * (x1092 - x1093)
result[8, 8, 4] = x907 * (-x1094 * x1170 + x1171 * x333)
result[8, 8, 5] = x904 * (x1171 * x335 - x1175 * x479)
result[8, 8, 6] = x865 * (
0.8660254037844386 * x1 * x137 * x256 * x5 * x7 * x8 * x9 - x1095 * x1169
)
result[8, 8, 7] = x907 * (
0.8660254037844386 * x1 * x124 * x260 * x5 * x7 * x8 * x9 - x1096 * x1170
)
result[8, 8, 8] = x1175 * x907 * (x1097 - x1098)
result[8, 8, 9] = 0
result[8, 8, 10] = x896 * (
0.8660254037844386 * x1 * x143 * x256 * x7 * x8 * x9 - x1101 * x1169
)
result[8, 8, 11] = x865 * (
0.8660254037844386 * x1 * x137 * x260 * x7 * x8 * x9 - x1102 * x1170
)
result[8, 8, 12] = x904 * (
0.8660254037844386 * x1 * x124 * x267 * x7 * x8 * x9 - x1103 * x1174
)
result[8, 8, 13] = -x865 * (x1104 * x1174 - 0.8660254037844386 * x16 * x343)
result[8, 8, 14] = 0
result[8, 9, 0] = x853 * (x1105 * x1155 - x1156 * x347)
result[8, 9, 1] = x1176 * x856 * (x1108 - x1109)
result[8, 9, 2] = x856 * (x1110 * x1155 - x1156 * x352)
result[8, 9, 3] = -x862 * (x1149 * x354 - 0.8660254037844386 * x346 * x59 * x835)
result[8, 9, 4] = -x865 * (0.8660254037844386 * x1113 * x351 - x1171 * x355)
result[8, 9, 5] = x862 * (-x1116 * x1156 + x1171 * x358)
result[8, 9, 6] = x856 * (
0.8660254037844386 * x1 * x346 * x5 * x7 * x77 * x8 * x9 - x1117 * x1176
)
result[8, 9, 7] = x865 * (
0.8660254037844386 * x1 * x351 * x5 * x59 * x7 * x8 * x9 - x1149 * x360
)
result[8, 9, 8] = 0
result[8, 9, 9] = 0
result[8, 9, 10] = x853 * (
0.8660254037844386 * x1 * x100 * x346 * x7 * x8 * x9 - x1122 * x1174
)
result[8, 9, 11] = x856 * (
0.8660254037844386 * x1 * x351 * x7 * x77 * x8 * x9 - x1123 * x1174
)
result[8, 9, 12] = x862 * (
0.8660254037844386 * x1 * x357 * x59 * x7 * x8 * x9 - x1149 * x367
)
result[8, 9, 13] = 0
result[8, 9, 14] = 0
return result
[docs]
def multipole3d_sph_40(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (gs) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 15, 1), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = x2 * (ax * A[0] + bx * B[0]) - A[0]
x4 = ax * bx * x2
x5 = numpy.exp(-x4 * (A[0] - B[0]) ** 2)
x6 = 1.772453850905516
x7 = numpy.sqrt(x2)
x8 = x6 * x7
x9 = x5 * x8
x10 = x3**2 * x9
x11 = x1 * x9
x12 = 3.0 * x11
x13 = x10 + x11
x14 = x13 * x3
x15 = x11 * x3
x16 = x14 + 2.0 * x15
x17 = x1 * (3.0 * x10 + x12) + x16 * x3
x18 = da * db
x19 = 10.2469507659596 * x18
x20 = 0.009523809523809525 * x19
x21 = numpy.exp(-x4 * (A[2] - B[2]) ** 2)
x22 = numpy.exp(-x4 * (A[1] - B[1]) ** 2)
x23 = 3.141592653589793 * x2 * x22
x24 = x21 * x23
x25 = x20 * x24
x26 = x2 * (ax * A[1] + bx * B[1]) - A[1]
x27 = x24 * x26
x28 = 3.872983346207417 * x18
x29 = 0.06666666666666667 * x28
x30 = x16 * x29
x31 = x2 * (ax * A[2] + bx * B[2]) - A[2]
x32 = x24 * x31
x33 = x21 * x8
x34 = x22 * x8
x35 = x26**2 * x34
x36 = x1 * x34
x37 = x35 + x36
x38 = 0.3333333333333333 * x18
x39 = x13 * x27
x40 = 1.732050807568877
x41 = x38 * x40
x42 = x31 * x41
x43 = x31**2 * x33
x44 = x1 * x33
x45 = x43 + x44
x46 = x38 * x45
x47 = x29 * x3
x48 = x26 * x37
x49 = x26 * x36
x50 = x48 + 2.0 * x49
x51 = x2 * x5
x52 = 3.141592653589793 * x51
x53 = x21 * x52
x54 = x50 * x53
x55 = x37 * x53
x56 = x3 * x55
x57 = x23 * x5
x58 = x26 * x3
x59 = x57 * x58
x60 = x40 * x46
x61 = x31 * x45
x62 = x31 * x44
x63 = x61 + 2.0 * x62
x64 = x57 * x63
x65 = 3.0 * x36
x66 = x1 * (3.0 * x35 + x65) + x26 * x50
x67 = x20 * x53
x68 = x29 * x31
x69 = x29 * x64
x70 = 3.0 * x44
x71 = x1 * (3.0 * x43 + x70) + x31 * x63
x72 = x20 * x57
x73 = x1 * x16
x74 = x24 * x29 * x73
x75 = 0.6666666666666666 * x18
x76 = x1 * x75
x77 = x1 * x31
x78 = x13 * x77
x79 = x24 * x78
x80 = x1 * (x35 + x65)
x81 = x1 * x35
x82 = x80 + 2.0 * x81
x83 = x53 * x82
x84 = 5.568327996831708 * x21 * x22 * x51 * x7
x85 = x58 * x84
x86 = x40 * x75 * x77 * x85
x87 = x3 * x57
x88 = x1 * x60
x89 = x26 * x57
x90 = x45 * x76
x91 = x1 * x69
x92 = x1 * x41
x93 = x1 * (x43 + x70)
x94 = x1 * x43
x95 = x93 + 2.0 * x94
x96 = x57 * x95
x97 = x1 * x29 * x50 * x53
x98 = x37 * x53 * x77
x99 = x1 * (x10 + x12)
x100 = x1 * x10
x101 = 2.0 * x100 + x99
x102 = x101 * x29
x103 = 0.1154700538379251 * x1 * x28
x104 = x101 * x103 * x24
x105 = x0 ** (-2.0)
x106 = x105 * x18
x107 = 2.309401076758503 * x106
x108 = x31 * x84
x109 = x106 * x40
x110 = 1.154700538379251 * x109
x111 = x108 * x110
x112 = x111 * x3
x113 = x103 * x83
x114 = x111 * x26
x115 = 0.5773502691896257 * x109
x116 = x110 * x85
x117 = x107 * x108
x118 = x103 * x96
x119 = 0.5 * x21
x120 = x105 * x9
x121 = x100 + 3.0 * x120
x122 = x3 * (6.0 * x120 + x121)
x123 = x23 * (x1 * (7.0 * x100 + 9.0 * x120 + 2.0 * x99) + x122 * x3)
x124 = 0.009523809523809524 * x19
x125 = x119 * x23
x126 = x122 * x125
x127 = 0.06666666666666667 * x28
x128 = 0.5 * x33
x129 = 3.0 * x105
x130 = x129 * x34 + x81
x131 = x13 * x130
x132 = 0.3333333333333333 * x18
x133 = x121 * x31
x134 = x132 * x40
x135 = 0.5 * x45
x136 = x121 * x34
x137 = x129 * x33 + x94
x138 = x13 * x36
x139 = 6.0 * x105
x140 = x26 * (x130 + x139 * x34)
x141 = x119 * x52
x142 = x140 * x141
x143 = x130 * x31
x144 = 1.0 * x57
x145 = x1 * x144
x146 = x31 * (x137 + x139 * x33)
x147 = x144 * x146
x148 = x145 * x63
x149 = 9.0 * x105
x150 = x52 * (x1 * (x149 * x34 + 2.0 * x80 + 7.0 * x81) + x140 * x26)
x151 = x130 * x9
x152 = 0.8660254037844386 * x21
x153 = x152 * x23
x154 = x122 * x153
x155 = x153 * x26
x156 = 0.8660254037844386 * x45
x157 = x152 * x52
x158 = x140 * x157
# 135 item(s)
result[0, 0, 0] = x17 * x25
result[0, 1, 0] = x27 * x30
result[0, 2, 0] = x30 * x32
result[0, 3, 0] = x13 * x33 * x37 * x38
result[0, 4, 0] = x39 * x42
result[0, 5, 0] = x13 * x34 * x46
result[0, 6, 0] = x47 * x54
result[0, 7, 0] = x42 * x56
result[0, 8, 0] = x59 * x60
result[0, 9, 0] = x47 * x64
result[0, 10, 0] = x66 * x67
result[0, 11, 0] = x54 * x68
result[0, 12, 0] = x37 * x46 * x9
result[0, 13, 0] = x26 * x69
result[0, 14, 0] = x71 * x72
result[1, 0, 0] = 0
result[1, 1, 0] = x74
result[1, 2, 0] = 0
result[1, 3, 0] = x39 * x76
result[1, 4, 0] = x41 * x79
result[1, 5, 0] = 0
result[1, 6, 0] = x47 * x83
result[1, 7, 0] = x86
result[1, 8, 0] = x87 * x88
result[1, 9, 0] = 0
result[1, 10, 0] = x67 * (x1 * (x48 + 8.0 * x49) + x26 * x82)
result[1, 11, 0] = x68 * x83
result[1, 12, 0] = x89 * x90
result[1, 13, 0] = x91
result[1, 14, 0] = 0
result[2, 0, 0] = 0
result[2, 1, 0] = 0
result[2, 2, 0] = x74
result[2, 3, 0] = 0
result[2, 4, 0] = x39 * x92
result[2, 5, 0] = x75 * x79
result[2, 6, 0] = 0
result[2, 7, 0] = x56 * x92
result[2, 8, 0] = x86
result[2, 9, 0] = x47 * x96
result[2, 10, 0] = 0
result[2, 11, 0] = x97
result[2, 12, 0] = x75 * x98
result[2, 13, 0] = x29 * x89 * x95
result[2, 14, 0] = x72 * (x1 * (x61 + 8.0 * x62) + x31 * x95)
result[3, 0, 0] = x25 * (x1 * (x14 + 8.0 * x15) + x101 * x3)
result[3, 1, 0] = x102 * x27
result[3, 2, 0] = x102 * x32
result[3, 3, 0] = x56 * x76
result[3, 4, 0] = x86
result[3, 5, 0] = x87 * x90
result[3, 6, 0] = x97
result[3, 7, 0] = x41 * x98
result[3, 8, 0] = x88 * x89
result[3, 9, 0] = x91
result[3, 10, 0] = 0
result[3, 11, 0] = 0
result[3, 12, 0] = 0
result[3, 13, 0] = 0
result[3, 14, 0] = 0
result[4, 0, 0] = 0
result[4, 1, 0] = x104
result[4, 2, 0] = 0
result[4, 3, 0] = x107 * x85
result[4, 4, 0] = x112
result[4, 5, 0] = 0
result[4, 6, 0] = x113
result[4, 7, 0] = x114
result[4, 8, 0] = x115 * x45 * x57
result[4, 9, 0] = 0
result[4, 10, 0] = 0
result[4, 11, 0] = 0
result[4, 12, 0] = 0
result[4, 13, 0] = 0
result[4, 14, 0] = 0
result[5, 0, 0] = 0
result[5, 1, 0] = 0
result[5, 2, 0] = 0
result[5, 3, 0] = 0
result[5, 4, 0] = x115 * x13 * x24
result[5, 5, 0] = 0
result[5, 6, 0] = 0
result[5, 7, 0] = x116
result[5, 8, 0] = x112
result[5, 9, 0] = 0
result[5, 10, 0] = 0
result[5, 11, 0] = x113
result[5, 12, 0] = x117 * x26
result[5, 13, 0] = x118
result[5, 14, 0] = 0
result[6, 0, 0] = x124 * (1.570796326794897 * x1 * x17 * x2 * x21 * x22 - x119 * x123)
result[6, 1, 0] = x127 * x26 * (1.570796326794897 * x1 * x16 * x2 * x21 * x22 - x126)
result[6, 2, 0] = x127 * x31 * (1.570796326794897 * x1 * x16 * x2 * x21 * x22 - x126)
result[6, 3, 0] = (
1.0 * x132 * (x1 * x13 * x21 * x37 * x6 * x7 - x121 * x128 * x37 - x128 * x131)
)
result[6, 4, 0] = (
x134 * x26 * (1.570796326794897 * x1 * x13 * x2 * x21 * x22 * x31 - x125 * x133)
)
result[6, 5, 0] = (
1.0 * x132 * (x13 * x137 * x22 * x6 * x7 - x135 * x136 - x135 * x138)
)
result[6, 6, 0] = x127 * x3 * (1.570796326794897 * x1 * x2 * x21 * x5 * x50 - x142)
result[6, 7, 0] = (
x134 * x3 * (1.570796326794897 * x1 * x2 * x21 * x31 * x37 * x5 - x141 * x143)
)
result[6, 8, 0] = x134 * (1.0 * x137 * x59 - x145 * x45 * x58)
result[6, 9, 0] = x127 * x3 * (x147 - x148)
result[6, 10, 0] = x124 * (1.570796326794897 * x1 * x2 * x21 * x5 * x66 - x119 * x150)
result[6, 11, 0] = x127 * x31 * (1.570796326794897 * x1 * x2 * x21 * x5 * x50 - x142)
result[6, 12, 0] = (
1.0 * x132 * (-x11 * x135 * x37 - x135 * x151 + x137 * x37 * x5 * x6 * x7)
)
result[6, 13, 0] = x127 * x26 * (x147 - x148)
result[6, 14, 0] = x124 * (
x144 * (x1 * (x149 * x33 + 2.0 * x93 + 7.0 * x94) + x146 * x31) - x145 * x71
)
result[7, 0, 0] = 0
result[7, 1, 0] = 0
result[7, 2, 0] = x104
result[7, 3, 0] = 0
result[7, 4, 0] = x116
result[7, 5, 0] = x117 * x3
result[7, 6, 0] = 0
result[7, 7, 0] = x115 * x55
result[7, 8, 0] = x114
result[7, 9, 0] = x118
result[7, 10, 0] = 0
result[7, 11, 0] = 0
result[7, 12, 0] = 0
result[7, 13, 0] = 0
result[7, 14, 0] = 0
result[8, 0, 0] = x124 * (-x1 * x153 * x17 + x123 * x152)
result[8, 1, 0] = x127 * (x154 * x26 - x155 * x73)
result[8, 2, 0] = x127 * x31 * (-x153 * x73 + x154)
result[8, 3, 0] = (
0.8660254037844386 * x132 * (x121 * x21 * x37 * x6 * x7 - x131 * x33)
)
result[8, 4, 0] = x134 * x155 * (x133 - x78)
result[8, 5, 0] = x132 * x156 * (x136 - x138)
result[8, 6, 0] = x127 * x3 * (2.720699046351327 * x1 * x2 * x21 * x5 * x50 - x158)
result[8, 7, 0] = (
x134 * x3 * (2.720699046351327 * x1 * x2 * x21 * x31 * x37 * x5 - x143 * x157)
)
result[8, 8, 0] = 0
result[8, 9, 0] = 0
result[8, 10, 0] = x124 * (2.720699046351327 * x1 * x2 * x21 * x5 * x66 - x150 * x152)
result[8, 11, 0] = x127 * x31 * (2.720699046351327 * x1 * x2 * x21 * x5 * x50 - x158)
result[8, 12, 0] = x132 * (
0.8660254037844386 * x1 * x37 * x45 * x5 * x6 * x7 - x151 * x156
)
result[8, 13, 0] = 0
result[8, 14, 0] = 0
return result
[docs]
def multipole3d_sph_41(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (gp) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 15, 3), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - A[0]
x5 = ax * bx * x2
x6 = numpy.exp(-x5 * (A[0] - B[0]) ** 2)
x7 = 1.772453850905516
x8 = numpy.sqrt(x2)
x9 = x7 * x8
x10 = x6 * x9
x11 = x10 * x4
x12 = -x3 - B[0]
x13 = x10 * x12
x14 = x1 * (x11 + x13)
x15 = x1 * x10
x16 = x11 * x12
x17 = x15 + x16
x18 = x17 * x4
x19 = x10 * x4**2
x20 = x15 + x19
x21 = x20 * x4
x22 = x15 * x4
x23 = x21 + 2.0 * x22
x24 = 3.0 * x15
x25 = x19 + x24
x26 = x14 + x18
x27 = x1 * (2.0 * x16 + x25) + x26 * x4
x28 = x1 * (3.0 * x14 + 3.0 * x18 + x23) + x27 * x4
x29 = da * db
x30 = 10.2469507659596 * x29
x31 = 0.009523809523809525 * x30
x32 = numpy.exp(-x5 * (A[2] - B[2]) ** 2)
x33 = numpy.exp(-x5 * (A[1] - B[1]) ** 2)
x34 = 3.141592653589793 * x2 * x33
x35 = x32 * x34
x36 = x31 * x35
x37 = -x2 * (ax * A[1] + bx * B[1])
x38 = -x37 - B[1]
x39 = x1 * (3.0 * x19 + x24) + x23 * x4
x40 = x38 * x39
x41 = -x2 * (ax * A[2] + bx * B[2])
x42 = -x41 - B[2]
x43 = x39 * x42
x44 = -x37 - A[1]
x45 = 3.872983346207417 * x29
x46 = 0.06666666666666667 * x45
x47 = x44 * x46
x48 = x27 * x35
x49 = x1 * x9
x50 = x33 * x49
x51 = x33 * x9
x52 = x44 * x51
x53 = x38 * x52
x54 = x50 + x53
x55 = x32 * x9
x56 = x54 * x55
x57 = x23 * x46
x58 = x42 * x44
x59 = x35 * x57
x60 = -x41 - A[2]
x61 = x46 * x60
x62 = x38 * x60
x63 = x32 * x49
x64 = x55 * x60
x65 = x42 * x64
x66 = x63 + x65
x67 = x51 * x66
x68 = x44**2
x69 = x51 * x68
x70 = x50 + x69
x71 = 0.3333333333333333 * x29
x72 = x55 * x71
x73 = x38 * x51
x74 = x1 * (x52 + x73)
x75 = x44 * x54
x76 = x74 + x75
x77 = x42 * x55
x78 = x20 * x71
x79 = x70 * x78
x80 = x44 * x60
x81 = x26 * x80
x82 = 1.732050807568877
x83 = x71 * x82
x84 = x35 * x83
x85 = x54 * x64
x86 = x78 * x82
x87 = x52 * x86
x88 = x60**2
x89 = x55 * x88
x90 = x63 + x89
x91 = x26 * x90
x92 = x51 * x71
x93 = x71 * x90
x94 = x1 * (x64 + x77)
x95 = x60 * x66
x96 = x94 + x95
x97 = x20 * x96
x98 = x44 * x70
x99 = x44 * x50
x100 = x98 + 2.0 * x99
x101 = x46 * x55
x102 = x4 * x46
x103 = 3.0 * x50
x104 = x103 + x69
x105 = x1 * (x104 + 2.0 * x53) + x44 * x76
x106 = x2 * x6
x107 = 3.141592653589793 * x106
x108 = x107 * x32
x109 = x105 * x108
x110 = x100 * x42
x111 = x102 * x108
x112 = x17 * x64
x113 = x70 * x83
x114 = x108 * x4
x115 = x60 * x76
x116 = x115 * x83
x117 = x11 * x113
x118 = x82 * x93
x119 = x34 * x6
x120 = x44 * x96
x121 = x119 * x120
x122 = x121 * x83
x123 = x60 * x90
x124 = x60 * x63
x125 = x123 + 2.0 * x124
x126 = x125 * x17
x127 = x46 * x51
x128 = x125 * x38
x129 = x102 * x119
x130 = 3.0 * x63
x131 = x130 + x89
x132 = x1 * (x131 + 2.0 * x65) + x60 * x96
x133 = x119 * x132
x134 = x1 * (x103 + 3.0 * x69) + x100 * x44
x135 = x108 * x31
x136 = x134 * x135
x137 = x1 * (x100 + 3.0 * x74 + 3.0 * x75) + x105 * x44
x138 = x100 * x108
x139 = x12 * x61
x140 = x10 * x46
x141 = x140 * x66
x142 = x76 * x90
x143 = x10 * x71
x144 = x70 * x96
x145 = x12 * x44
x146 = x125 * x145
x147 = x119 * x46
x148 = x125 * x54
x149 = x1 * (x130 + 3.0 * x89) + x125 * x60
x150 = x119 * x31
x151 = x149 * x150
x152 = x1 * (x125 + 3.0 * x94 + 3.0 * x95) + x132 * x60
x153 = x1 * x36 * x39
x154 = x1 * x46
x155 = x154 * x48
x156 = x38 * x50
x157 = x156 + x99
x158 = x157 * x55
x159 = x1 * x35
x160 = x159 * x57
x161 = x1 * x60
x162 = 0.6666666666666666 * x26
x163 = x29 * x44
x164 = x159 * x163
x165 = x1 * (x103 + x53)
x166 = x157 * x44
x167 = x165 + x166
x168 = x159 * x29
x169 = 0.6666666666666666 * x168
x170 = x169 * x20
x171 = x50 * x78
x172 = x66 * x82
x173 = x1 * x104
x174 = x50 * x68
x175 = x173 + 2.0 * x174
x176 = x1 * (2.0 * x156 + x76 + 4.0 * x99)
x177 = x167 * x44
x178 = x176 + x177
x179 = x108 * x178
x180 = x17 * x82
x181 = x169 * x180 * x80
x182 = x114 * x167
x183 = x119 * x4
x184 = x1 * x183
x185 = 0.6666666666666666 * x163 * x172 * x184
x186 = x183 * x96
x187 = x1 * x83
x188 = x1 * x119
x189 = x125 * x188
x190 = x1 * (x98 + 8.0 * x99) + x175 * x44
x191 = x135 * x190
x192 = 3.0 * x165
x193 = x1 * x29
x194 = 0.6666666666666666 * x193
x195 = x119 * x90
x196 = x12 * x154
x197 = x133 * x154
x198 = x1 * x151
x199 = x42 * x63
x200 = x124 + x199
x201 = x200 * x51
x202 = x44 * x83
x203 = x29 * x35
x204 = x161 * x203
x205 = x130 + x65
x206 = x1 * x205
x207 = x200 * x60
x208 = x206 + x207
x209 = x4 * x76
x210 = x54 * x82
x211 = x114 * x29
x212 = x161 * x211
x213 = 0.6666666666666666 * x210 * x212
x214 = x183 * x208
x215 = x1 * x131
x216 = x63 * x88
x217 = x215 + 2.0 * x216
x218 = x1 * (4.0 * x124 + 2.0 * x199 + x96)
x219 = x208 * x60
x220 = x218 + x219
x221 = x119 * x220
x222 = x1 * x134 * x135
x223 = x108 * x46
x224 = x1 * x105 * x223
x225 = x108 * x29
x226 = x161 * x225
x227 = x108 * x194
x228 = x1 * (x123 + 8.0 * x124) + x217 * x60
x229 = x150 * x228
x230 = 3.0 * x206
x231 = x16 + x24
x232 = x1 * x231
x233 = 3.0 * x232
x234 = x12 * x15
x235 = x22 + x234
x236 = x235 * x4
x237 = x1 * x25
x238 = x1 * x19
x239 = x237 + 2.0 * x238
x240 = x1 * (4.0 * x22 + 2.0 * x234 + x26)
x241 = x232 + x236
x242 = x241 * x4
x243 = x240 + x242
x244 = x1 * (x21 + 8.0 * x22) + x239 * x4
x245 = x244 * x36
x246 = x243 * x35
x247 = x239 * x46
x248 = x247 * x35
x249 = x64 * x70
x250 = x235 * x83
x251 = x1 * x108
x252 = x15 * x70
x253 = x52 * x90
x254 = 0.01649572197684645 * x30
x255 = x159 * x244 * x254
x256 = 0.1154700538379251 * x45
x257 = x159 * x243 * x256
x258 = x239 * x256
x259 = x159 * x258
x260 = 1.154700538379251 * x241
x261 = 1.154700538379251 * x193
x262 = x0 ** (-2.0)
x263 = 12.85950267162766 * x106 * x262 * x29 * x32 * x33 * x8
x264 = x263 * x4
x265 = 0.5773502691896257 * x82
x266 = x241 * x265
x267 = 1.154700538379251 * x82
x268 = x157 * x212 * x267
x269 = 1.154700538379251 * x262
x270 = x183 * x269
x271 = x29 * x90
x272 = x175 * x256
x273 = x1 * x256
x274 = x179 * x273
x275 = x251 * x272
x276 = x168 * x235 * x267 * x80
x277 = x265 * x29
x278 = x108 * x277
x279 = x163 * x269
x280 = x265 * x271
x281 = x119 * x262
x282 = x125 * x256 * x281
x283 = x1 * x254
x284 = x108 * x190 * x283
x285 = x256 * x262
x286 = x23 * x285 * x35
x287 = x279 * x35
x288 = x20 * x277
x289 = x269 * x60
x290 = x203 * x289
x291 = x193 * x265
x292 = 1.154700538379251 * x163
x293 = x184 * x200 * x292 * x82
x294 = x217 * x256
x295 = x188 * x208
x296 = x188 * x294
x297 = x221 * x273
x298 = x119 * x228 * x283
x299 = 0.5 * x32
x300 = x1 * x24 * (x12 + x4)
x301 = x10 * x262
x302 = x238 + 3.0 * x301
x303 = 6.0 * x262
x304 = x11 * x303 + x302 * x4
x305 = x232 * x4 + x300
x306 = x1 * (4.0 * x232 + 2.0 * x236 + x302) + x305 * x4
x307 = x34 * (
x1 * (x233 * x4 + 2.0 * x240 + 2.0 * x242 + 3.0 * x300 + x304) + x306 * x4
)
x308 = 0.009523809523809524 * x30
x309 = x1 * (2.0 * x237 + 7.0 * x238 + 9.0 * x301) + x304 * x4
x310 = x299 * x34
x311 = x309 * x310
x312 = x306 * x310
x313 = 0.06666666666666667 * x45
x314 = 0.5 * x304
x315 = 0.5 * x55
x316 = x165 * x23
x317 = x304 * x310
x318 = 0.5 * x66
x319 = x23 * x50
x320 = 3.0 * x262
x321 = x174 + x320 * x51
x322 = x26 * x321
x323 = 0.3333333333333333 * x29
x324 = x302 * x76
x325 = x1 * x103 * (x38 + x44)
x326 = x165 * x44 + x325
x327 = x20 * x326
x328 = 0.5 * x77
x329 = x20 * x321
x330 = x305 * x80
x331 = x323 * x82
x332 = 0.5 * x302
x333 = 0.5 * x20
x334 = x165 * x64
x335 = x302 * x52
x336 = x20 * x99
x337 = 0.5 * x51
x338 = x305 * x90
x339 = x216 + x320 * x55
x340 = 0.5 * x50
x341 = x73 * x90
x342 = x156 * x90
x343 = x302 * x96
x344 = x1 * x130 * (x42 + x60)
x345 = x206 * x60 + x344
x346 = x303 * x52 + x321 * x44
x347 = x17 * x346
x348 = x1 * (4.0 * x165 + 2.0 * x166 + x321) + x326 * x44
x349 = x107 * x299
x350 = x348 * x349
x351 = x349 * x4
x352 = x346 * x42
x353 = 0.5 * x321
x354 = 0.5 * x232
x355 = x326 * x60
x356 = x11 * x321
x357 = 0.5 * x90
x358 = x17 * x99
x359 = x22 * x54
x360 = x11 * x165
x361 = 1.0 * x119
x362 = x361 * x4
x363 = x1 * x361
x364 = x363 * x4
x365 = x303 * x64 + x339 * x60
x366 = x1 * (4.0 * x206 + 2.0 * x207 + x339) + x345 * x60
x367 = x361 * x366
x368 = x132 * x363
x369 = 9.0 * x262
x370 = x1 * (2.0 * x173 + 7.0 * x174 + x369 * x51) + x346 * x44
x371 = x349 * x370
x372 = x107 * (
x1 * (2.0 * x176 + 2.0 * x177 + x192 * x44 + 3.0 * x325 + x346) + x348 * x44
)
x373 = x346 * x60
x374 = 0.5 * x10
x375 = x346 * x66
x376 = x13 * x90
x377 = x326 * x90
x378 = 0.5 * x15
x379 = x321 * x96
x380 = x125 * x165
x381 = x361 * (x1 * (2.0 * x215 + 7.0 * x216 + x369 * x55) + x365 * x60)
x382 = x149 * x363
x383 = x211 * x269
x384 = x138 * x285
x385 = x225 * x289
x386 = 0.8660254037844386 * x32
x387 = x34 * x386
x388 = x309 * x387
x389 = x1 * x387
x390 = x306 * x387
x391 = x27 * x389
x392 = 0.8660254037844386 * x304
x393 = 0.8660254037844386 * x55
x394 = x304 * x387
x395 = x23 * x389
x396 = 0.8660254037844386 * x66
x397 = 0.8660254037844386 * x302
x398 = 0.8660254037844386 * x20
x399 = 0.8660254037844386 * x51
x400 = 0.8660254037844386 * x50
x401 = x107 * x386
x402 = x348 * x401
x403 = x4 * x401
x404 = 0.8660254037844386 * x321
x405 = 0.8660254037844386 * x90
x406 = x370 * x401
x407 = 0.8660254037844386 * x10
# 405 item(s)
result[0, 0, 0] = x28 * x36
result[0, 0, 1] = x36 * x40
result[0, 0, 2] = x36 * x43
result[0, 1, 0] = x47 * x48
result[0, 1, 1] = x56 * x57
result[0, 1, 2] = x58 * x59
result[0, 2, 0] = x48 * x61
result[0, 2, 1] = x59 * x62
result[0, 2, 2] = x57 * x67
result[0, 3, 0] = x26 * x70 * x72
result[0, 3, 1] = x20 * x72 * x76
result[0, 3, 2] = x77 * x79
result[0, 4, 0] = x81 * x84
result[0, 4, 1] = x85 * x86
result[0, 4, 2] = x66 * x87
result[0, 5, 0] = x91 * x92
result[0, 5, 1] = x20 * x73 * x93
result[0, 5, 2] = x92 * x97
result[0, 6, 0] = x100 * x101 * x17
result[0, 6, 1] = x102 * x109
result[0, 6, 2] = x110 * x111
result[0, 7, 0] = x112 * x113
result[0, 7, 1] = x114 * x116
result[0, 7, 2] = x117 * x66
result[0, 8, 0] = x118 * x17 * x52
result[0, 8, 1] = x11 * x118 * x54
result[0, 8, 2] = x122 * x4
result[0, 9, 0] = x126 * x127
result[0, 9, 1] = x128 * x129
result[0, 9, 2] = x102 * x133
result[0, 10, 0] = x12 * x136
result[0, 10, 1] = x135 * x137
result[0, 10, 2] = x136 * x42
result[0, 11, 0] = x138 * x139
result[0, 11, 1] = x109 * x61
result[0, 11, 2] = x100 * x141
result[0, 12, 0] = x13 * x70 * x93
result[0, 12, 1] = x142 * x143
result[0, 12, 2] = x143 * x144
result[0, 13, 0] = x146 * x147
result[0, 13, 1] = x140 * x148
result[0, 13, 2] = x133 * x47
result[0, 14, 0] = x12 * x151
result[0, 14, 1] = x151 * x38
result[0, 14, 2] = x150 * x152
result[1, 0, 0] = 0
result[1, 0, 1] = x153
result[1, 0, 2] = 0
result[1, 1, 0] = x155
result[1, 1, 1] = x158 * x57
result[1, 1, 2] = x160 * x42
result[1, 2, 0] = 0
result[1, 2, 1] = x161 * x59
result[1, 2, 2] = 0
result[1, 3, 0] = x162 * x164
result[1, 3, 1] = x167 * x20 * x72
result[1, 3, 2] = x170 * x58
result[1, 4, 0] = x161 * x26 * x84
result[1, 4, 1] = x157 * x64 * x86
result[1, 4, 2] = x171 * x172
result[1, 5, 0] = 0
result[1, 5, 1] = x171 * x90
result[1, 5, 2] = 0
result[1, 6, 0] = x101 * x17 * x175
result[1, 6, 1] = x102 * x179
result[1, 6, 2] = x111 * x175 * x42
result[1, 7, 0] = x181
result[1, 7, 1] = x182 * x60 * x83
result[1, 7, 2] = x185
result[1, 8, 0] = x118 * x17 * x50
result[1, 8, 1] = x11 * x118 * x157
result[1, 8, 2] = x186 * x187
result[1, 9, 0] = 0
result[1, 9, 1] = x102 * x189
result[1, 9, 2] = 0
result[1, 10, 0] = x12 * x191
result[1, 10, 1] = x135 * (x1 * (x105 + 3.0 * x166 + x175 + x192) + x178 * x44)
result[1, 10, 2] = x191 * x42
result[1, 11, 0] = x108 * x139 * x175
result[1, 11, 1] = x179 * x61
result[1, 11, 2] = x141 * x175
result[1, 12, 0] = x145 * x194 * x195
result[1, 12, 1] = x143 * x167 * x90
result[1, 12, 2] = x121 * x194
result[1, 13, 0] = x119 * x125 * x196
result[1, 13, 1] = x125 * x140 * x157
result[1, 13, 2] = x197
result[1, 14, 0] = 0
result[1, 14, 1] = x198
result[1, 14, 2] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x153
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x160 * x44
result[2, 2, 0] = x155
result[2, 2, 1] = x160 * x38
result[2, 2, 2] = x201 * x57
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x63 * x79
result[2, 4, 0] = x159 * x202 * x26
result[2, 4, 1] = x54 * x63 * x86
result[2, 4, 2] = x200 * x87
result[2, 5, 0] = x162 * x204
result[2, 5, 1] = x170 * x62
result[2, 5, 2] = x20 * x208 * x92
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = x1 * x102 * x138
result[2, 7, 0] = x113 * x17 * x63
result[2, 7, 1] = x108 * x187 * x209
result[2, 7, 2] = x117 * x200
result[2, 8, 0] = x181
result[2, 8, 1] = x213
result[2, 8, 2] = x202 * x214
result[2, 9, 0] = x127 * x17 * x217
result[2, 9, 1] = x129 * x217 * x38
result[2, 9, 2] = x102 * x221
result[2, 10, 0] = 0
result[2, 10, 1] = 0
result[2, 10, 2] = x222
result[2, 11, 0] = x138 * x196
result[2, 11, 1] = x224
result[2, 11, 2] = x100 * x140 * x200
result[2, 12, 0] = 0.6666666666666666 * x12 * x226 * x70
result[2, 12, 1] = x115 * x227
result[2, 12, 2] = x143 * x208 * x70
result[2, 13, 0] = x145 * x147 * x217
result[2, 13, 1] = x140 * x217 * x54
result[2, 13, 2] = x221 * x47
result[2, 14, 0] = x12 * x229
result[2, 14, 1] = x229 * x38
result[2, 14, 2] = x150 * (x1 * (x132 + 3.0 * x207 + x217 + x230) + x220 * x60)
result[3, 0, 0] = x36 * (x1 * (x233 + 3.0 * x236 + x239 + x27) + x243 * x4)
result[3, 0, 1] = x245 * x38
result[3, 0, 2] = x245 * x42
result[3, 1, 0] = x246 * x47
result[3, 1, 1] = x247 * x56
result[3, 1, 2] = x248 * x58
result[3, 2, 0] = x246 * x61
result[3, 2, 1] = x248 * x62
result[3, 2, 2] = x247 * x67
result[3, 3, 0] = x241 * x70 * x72
result[3, 3, 1] = x209 * x227
result[3, 3, 2] = x227 * x4 * x42 * x70
result[3, 4, 0] = x241 * x80 * x84
result[3, 4, 1] = x213
result[3, 4, 2] = x185
result[3, 5, 0] = x241 * x90 * x92
result[3, 5, 1] = x183 * x194 * x38 * x90
result[3, 5, 2] = x186 * x194
result[3, 6, 0] = x100 * x101 * x235
result[3, 6, 1] = x224
result[3, 6, 2] = x108 * x110 * x154
result[3, 7, 0] = x249 * x250
result[3, 7, 1] = x116 * x251
result[3, 7, 2] = x252 * x66 * x83
result[3, 8, 0] = x250 * x253
result[3, 8, 1] = x118 * x15 * x54
result[3, 8, 2] = x1 * x122
result[3, 9, 0] = x125 * x127 * x235
result[3, 9, 1] = x119 * x128 * x154
result[3, 9, 2] = x197
result[3, 10, 0] = x222
result[3, 10, 1] = 0
result[3, 10, 2] = 0
result[3, 11, 0] = x100 * x161 * x223
result[3, 11, 1] = 0
result[3, 11, 2] = 0
result[3, 12, 0] = x252 * x93
result[3, 12, 1] = 0
result[3, 12, 2] = 0
result[3, 13, 0] = x189 * x47
result[3, 13, 1] = 0
result[3, 13, 2] = 0
result[3, 14, 0] = x198
result[3, 14, 1] = 0
result[3, 14, 2] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x255
result[4, 0, 2] = 0
result[4, 1, 0] = x257
result[4, 1, 1] = x158 * x258
result[4, 1, 2] = x259 * x42
result[4, 2, 0] = 0
result[4, 2, 1] = x161 * x258 * x35
result[4, 2, 2] = 0
result[4, 3, 0] = x164 * x260
result[4, 3, 1] = x182 * x261
result[4, 3, 2] = x264 * x58
result[4, 4, 0] = x204 * x266
result[4, 4, 1] = x268
result[4, 4, 2] = x172 * x270 * x29
result[4, 5, 0] = 0
result[4, 5, 1] = x270 * x271
result[4, 5, 2] = 0
result[4, 6, 0] = x235 * x272 * x55
result[4, 6, 1] = x274
result[4, 6, 2] = x275 * x42
result[4, 7, 0] = x276
result[4, 7, 1] = x161 * x167 * x278
result[4, 7, 2] = x119 * x172 * x279
result[4, 8, 0] = x235 * x280 * x50
result[4, 8, 1] = x15 * x157 * x280
result[4, 8, 2] = x277 * x281 * x96
result[4, 9, 0] = 0
result[4, 9, 1] = x282
result[4, 9, 2] = 0
result[4, 10, 0] = x284
result[4, 10, 1] = 0
result[4, 10, 2] = 0
result[4, 11, 0] = x108 * x161 * x272
result[4, 11, 1] = 0
result[4, 11, 2] = 0
result[4, 12, 0] = x195 * x279
result[4, 12, 1] = 0
result[4, 12, 2] = 0
result[4, 13, 0] = x282
result[4, 13, 1] = 0
result[4, 13, 2] = 0
result[4, 14, 0] = 0
result[4, 14, 1] = 0
result[4, 14, 2] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x286
result[5, 2, 0] = 0
result[5, 2, 1] = x286
result[5, 2, 2] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x20 * x287
result[5, 4, 0] = x203 * x26 * x262 * x265
result[5, 4, 1] = x157 * x288 * x63
result[5, 4, 2] = x200 * x288 * x50
result[5, 5, 0] = 0
result[5, 5, 1] = x20 * x290
result[5, 5, 2] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = x1 * x114 * x272
result[5, 7, 0] = x180 * x287
result[5, 7, 1] = x182 * x291
result[5, 7, 2] = x293
result[5, 8, 0] = x180 * x290
result[5, 8, 1] = x268
result[5, 8, 2] = x214 * x291
result[5, 9, 0] = 0
result[5, 9, 1] = x184 * x294
result[5, 9, 2] = 0
result[5, 10, 0] = 0
result[5, 10, 1] = 0
result[5, 10, 2] = x284
result[5, 11, 0] = x12 * x275
result[5, 11, 1] = x274
result[5, 11, 2] = x10 * x200 * x272
result[5, 12, 0] = x12 * x263 * x80
result[5, 12, 1] = 1.154700538379251 * x167 * x226
result[5, 12, 2] = x292 * x295
result[5, 13, 0] = x12 * x296
result[5, 13, 1] = x10 * x157 * x294
result[5, 13, 2] = x297
result[5, 14, 0] = 0
result[5, 14, 1] = x298
result[5, 14, 2] = 0
result[6, 0, 0] = x308 * (1.570796326794897 * x1 * x2 * x28 * x32 * x33 - x299 * x307)
result[6, 0, 1] = x308 * x38 * (1.570796326794897 * x1 * x2 * x32 * x33 * x39 - x311)
result[6, 0, 2] = x308 * x42 * (1.570796326794897 * x1 * x2 * x32 * x33 * x39 - x311)
result[6, 1, 0] = x313 * x44 * (1.570796326794897 * x1 * x2 * x27 * x32 * x33 - x312)
result[6, 1, 1] = (
1.0 * x313 * (x1 * x23 * x32 * x54 * x7 * x8 - x314 * x56 - x315 * x316)
)
result[6, 1, 2] = x313 * (
1.570796326794897 * x1 * x2 * x23 * x32 * x33 * x42 * x44 - x317 * x58
)
result[6, 2, 0] = x313 * x60 * (1.570796326794897 * x1 * x2 * x27 * x32 * x33 - x312)
result[6, 2, 1] = x313 * (
1.570796326794897 * x1 * x2 * x23 * x32 * x33 * x38 * x60 - x317 * x62
)
result[6, 2, 2] = (
1.0 * x313 * (x1 * x205 * x23 * x33 * x7 * x8 - x314 * x67 - x318 * x319)
)
result[6, 3, 0] = (
1.0 * x323 * (x1 * x26 * x32 * x7 * x70 * x8 - x305 * x315 * x70 - x315 * x322)
)
result[6, 3, 1] = (
1.0 * x323 * (x1 * x20 * x32 * x7 * x76 * x8 - x315 * x324 - x315 * x327)
)
result[6, 3, 2] = (
1.0
* x323
* (x1 * x20 * x32 * x42 * x7 * x70 * x8 - x302 * x328 * x70 - x328 * x329)
)
result[6, 4, 0] = x331 * (
1.570796326794897 * x1 * x2 * x26 * x32 * x33 * x44 * x60 - x310 * x330
)
result[6, 4, 1] = (
1.0 * x331 * (x1 * x20 * x32 * x54 * x60 * x7 * x8 - x332 * x85 - x333 * x334)
)
result[6, 4, 2] = (
1.0 * x331 * (x1 * x20 * x205 * x33 * x44 * x7 * x8 - x318 * x335 - x318 * x336)
)
result[6, 5, 0] = 1.0 * x323 * (x26 * x33 * x339 * x7 * x8 - x337 * x338 - x340 * x91)
result[6, 5, 1] = (
1.0 * x323 * (x20 * x33 * x339 * x38 * x7 * x8 - x332 * x341 - x333 * x342)
)
result[6, 5, 2] = 1.0 * x323 * (x20 * x33 * x345 * x7 * x8 - x337 * x343 - x340 * x97)
result[6, 6, 0] = (
1.0 * x313 * (x1 * x100 * x17 * x32 * x7 * x8 - x100 * x232 * x315 - x315 * x347)
)
result[6, 6, 1] = x313 * x4 * (1.570796326794897 * x1 * x105 * x2 * x32 * x6 - x350)
result[6, 6, 2] = x313 * (
1.570796326794897 * x1 * x100 * x2 * x32 * x4 * x42 * x6 - x351 * x352
)
result[6, 7, 0] = (
1.0 * x331 * (x1 * x17 * x32 * x60 * x7 * x70 * x8 - x112 * x353 - x249 * x354)
)
result[6, 7, 1] = x331 * (
1.570796326794897 * x1 * x2 * x32 * x4 * x6 * x60 * x76 - x351 * x355
)
result[6, 7, 2] = (
1.0
* x331
* (x1 * x205 * x4 * x6 * x7 * x70 * x8 - x22 * x318 * x70 - x318 * x356)
)
result[6, 8, 0] = (
1.0 * x331 * (x17 * x33 * x339 * x44 * x7 * x8 - x253 * x354 - x357 * x358)
)
result[6, 8, 1] = (
1.0 * x331 * (x339 * x4 * x54 * x6 * x7 * x8 - x357 * x359 - x357 * x360)
)
result[6, 8, 2] = x331 * (-x120 * x364 + x345 * x362 * x44)
result[6, 9, 0] = (
1.0 * x313 * (-x125 * x232 * x337 - x126 * x340 + x17 * x33 * x365 * x7 * x8)
)
result[6, 9, 1] = x313 * (-x128 * x364 + x362 * x365 * x38)
result[6, 9, 2] = x313 * x4 * (x367 - x368)
result[6, 10, 0] = x12 * x308 * (1.570796326794897 * x1 * x134 * x2 * x32 * x6 - x371)
result[6, 10, 1] = x308 * (
1.570796326794897 * x1 * x137 * x2 * x32 * x6 - x299 * x372
)
result[6, 10, 2] = x308 * x42 * (1.570796326794897 * x1 * x134 * x2 * x32 * x6 - x371)
result[6, 11, 0] = (
x12 * x313 * (1.570796326794897 * x1 * x100 * x2 * x32 * x6 * x60 - x349 * x373)
)
result[6, 11, 1] = x313 * x60 * (1.570796326794897 * x1 * x105 * x2 * x32 * x6 - x350)
result[6, 11, 2] = (
1.0 * x313 * (x1 * x100 * x205 * x6 * x7 * x8 - x100 * x15 * x318 - x374 * x375)
)
result[6, 12, 0] = (
1.0 * x323 * (x12 * x339 * x6 * x7 * x70 * x8 - x234 * x357 * x70 - x353 * x376)
)
result[6, 12, 1] = (
1.0 * x323 * (-x142 * x378 + x339 * x6 * x7 * x76 * x8 - x374 * x377)
)
result[6, 12, 2] = (
1.0 * x323 * (-x144 * x378 + x345 * x6 * x7 * x70 * x8 - x374 * x379)
)
result[6, 13, 0] = x313 * (x145 * x361 * x365 - x146 * x363)
result[6, 13, 1] = (
1.0 * x313 * (-x148 * x378 + x365 * x54 * x6 * x7 * x8 - x374 * x380)
)
result[6, 13, 2] = x313 * x44 * (x367 - x368)
result[6, 14, 0] = x12 * x308 * (x381 - x382)
result[6, 14, 1] = x308 * x38 * (x381 - x382)
result[6, 14, 2] = -x308 * (
x152 * x363
- x361
* (x1 * (2.0 * x218 + 2.0 * x219 + x230 * x60 + 3.0 * x344 + x365) + x366 * x60)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x255
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x259 * x44
result[7, 2, 0] = x257
result[7, 2, 1] = x259 * x38
result[7, 2, 2] = x201 * x258
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x383 * x70
result[7, 4, 0] = x164 * x266
result[7, 4, 1] = x210 * x383
result[7, 4, 2] = x293
result[7, 5, 0] = x204 * x260
result[7, 5, 1] = x264 * x62
result[7, 5, 2] = x214 * x261
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = x384
result[7, 7, 0] = x235 * x277 * x63 * x70
result[7, 7, 1] = x262 * x278 * x76
result[7, 7, 2] = x200 * x252 * x277
result[7, 8, 0] = x276
result[7, 8, 1] = x210 * x385
result[7, 8, 2] = x163 * x265 * x295
result[7, 9, 0] = x235 * x294 * x51
result[7, 9, 1] = x296 * x38
result[7, 9, 2] = x297
result[7, 10, 0] = 0
result[7, 10, 1] = 0
result[7, 10, 2] = 0
result[7, 11, 0] = x384
result[7, 11, 1] = 0
result[7, 11, 2] = 0
result[7, 12, 0] = x385 * x70
result[7, 12, 1] = 0
result[7, 12, 2] = 0
result[7, 13, 0] = x296 * x44
result[7, 13, 1] = 0
result[7, 13, 2] = 0
result[7, 14, 0] = x298
result[7, 14, 1] = 0
result[7, 14, 2] = 0
result[8, 0, 0] = x308 * (-x1 * x28 * x387 + x307 * x386)
result[8, 0, 1] = x308 * (x38 * x388 - x389 * x40)
result[8, 0, 2] = x308 * (x388 * x42 - x389 * x43)
result[8, 1, 0] = x313 * x44 * (x390 - x391)
result[8, 1, 1] = x313 * (-x316 * x393 + x392 * x56)
result[8, 1, 2] = x313 * x58 * (x394 - x395)
result[8, 2, 0] = x313 * x60 * (x390 - x391)
result[8, 2, 1] = x313 * x62 * (x394 - x395)
result[8, 2, 2] = x313 * (-x319 * x396 + x392 * x67)
result[8, 3, 0] = x323 * (
0.8660254037844386 * x305 * x32 * x7 * x70 * x8 - x322 * x393
)
result[8, 3, 1] = x323 * x393 * (x324 - x327)
result[8, 3, 2] = (
0.8660254037844386 * x323 * (x302 * x32 * x42 * x7 * x70 * x8 - x329 * x77)
)
result[8, 4, 0] = x331 * (x330 * x387 - x389 * x81)
result[8, 4, 1] = x331 * (-x334 * x398 + x397 * x85)
result[8, 4, 2] = x331 * x396 * (x335 - x336)
result[8, 5, 0] = x323 * (x338 * x399 - x400 * x91)
result[8, 5, 1] = x323 * (x341 * x397 - x342 * x398)
result[8, 5, 2] = x323 * (x343 * x399 - x400 * x97)
result[8, 6, 0] = x313 * (
0.8660254037844386 * x1 * x100 * x231 * x32 * x7 * x8 - x347 * x393
)
result[8, 6, 1] = x313 * x4 * (2.720699046351327 * x1 * x105 * x2 * x32 * x6 - x402)
result[8, 6, 2] = x313 * (
2.720699046351327 * x1 * x100 * x2 * x32 * x4 * x42 * x6 - x352 * x403
)
result[8, 7, 0] = x331 * (
0.8660254037844386 * x1 * x231 * x32 * x60 * x7 * x70 * x8 - x112 * x404
)
result[8, 7, 1] = x331 * (
2.720699046351327 * x1 * x2 * x32 * x4 * x6 * x60 * x76 - x355 * x403
)
result[8, 7, 2] = x331 * (
0.8660254037844386 * x1 * x4 * x6 * x66 * x7 * x70 * x8 - x356 * x396
)
result[8, 8, 0] = x331 * (
0.8660254037844386 * x1 * x231 * x33 * x44 * x7 * x8 * x90 - x358 * x405
)
result[8, 8, 1] = x331 * x405 * (x359 - x360)
result[8, 8, 2] = 0
result[8, 9, 0] = x313 * (
0.8660254037844386 * x1 * x125 * x231 * x33 * x7 * x8 - x126 * x400
)
result[8, 9, 1] = 0
result[8, 9, 2] = 0
result[8, 10, 0] = x12 * x308 * (2.720699046351327 * x1 * x134 * x2 * x32 * x6 - x406)
result[8, 10, 1] = x308 * (
2.720699046351327 * x1 * x137 * x2 * x32 * x6 - x372 * x386
)
result[8, 10, 2] = x308 * x42 * (2.720699046351327 * x1 * x134 * x2 * x32 * x6 - x406)
result[8, 11, 0] = (
x12 * x313 * (2.720699046351327 * x1 * x100 * x2 * x32 * x6 * x60 - x373 * x401)
)
result[8, 11, 1] = x313 * x60 * (2.720699046351327 * x1 * x105 * x2 * x32 * x6 - x402)
result[8, 11, 2] = x313 * (
0.8660254037844386 * x1 * x100 * x6 * x66 * x7 * x8 - x375 * x407
)
result[8, 12, 0] = x323 * (
0.8660254037844386 * x1 * x12 * x6 * x7 * x70 * x8 * x90 - x376 * x404
)
result[8, 12, 1] = x323 * (
0.8660254037844386 * x1 * x6 * x7 * x76 * x8 * x90 - x377 * x407
)
result[8, 12, 2] = x323 * (
0.8660254037844386 * x1 * x6 * x7 * x70 * x8 * x96 - x379 * x407
)
result[8, 13, 0] = 0
result[8, 13, 1] = x313 * (0.8660254037844386 * x148 * x15 - x380 * x407)
result[8, 13, 2] = 0
result[8, 14, 0] = 0
result[8, 14, 1] = 0
result[8, 14, 2] = 0
return result
[docs]
def multipole3d_sph_42(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (gd) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 15, 6), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - B[0]
x5 = -x3 - A[0]
x6 = ax * bx * x2
x7 = numpy.exp(-x6 * (A[0] - B[0]) ** 2)
x8 = 1.772453850905516
x9 = numpy.sqrt(x2)
x10 = x8 * x9
x11 = x10 * x7
x12 = x11 * x5
x13 = x12 * x4
x14 = 2.0 * x13
x15 = x11 * x5**2
x16 = x1 * x11
x17 = 3.0 * x16
x18 = x15 + x17
x19 = x1 * (x14 + x18)
x20 = x11 * x4
x21 = x1 * (x12 + x20)
x22 = x13 + x16
x23 = x22 * x5
x24 = x21 + x23
x25 = x24 * x5
x26 = x4**2
x27 = x11 * x26
x28 = x1 * (x14 + x17 + x27)
x29 = x22 * x4
x30 = x21 + x29
x31 = x30 * x5
x32 = x28 + x31
x33 = 2.0 * x1 * (2.0 * x21 + x23 + x29) + x32 * x5
x34 = x1 * (2.0 * x19 + 2.0 * x25 + 3.0 * x28 + 3.0 * x31) + x33 * x5
x35 = 5.916079783099616
x36 = 0.009523809523809525 * x35
x37 = numpy.exp(-x6 * (A[1] - B[1]) ** 2)
x38 = 3.141592653589793 * x2 * x37
x39 = numpy.exp(-x6 * (A[2] - B[2]) ** 2)
x40 = da * db
x41 = x39 * x40
x42 = x38 * x41
x43 = x36 * x42
x44 = -x2 * (ax * A[1] + bx * B[1])
x45 = -x44 - B[1]
x46 = x42 * x45
x47 = x15 + x16
x48 = x47 * x5
x49 = x1 * x12
x50 = 2.0 * x49
x51 = x48 + x50
x52 = x19 + x25
x53 = x1 * (3.0 * x21 + 3.0 * x23 + x51) + x5 * x52
x54 = 10.2469507659596
x55 = 0.009523809523809525 * x54
x56 = x53 * x55
x57 = -x2 * (ax * A[2] + bx * B[2])
x58 = -x57 - B[2]
x59 = x42 * x58
x60 = x10 * x37
x61 = x45**2 * x60
x62 = x1 * x60
x63 = x61 + x62
x64 = x1 * (3.0 * x15 + x17) + x5 * x51
x65 = x10 * x39
x66 = x40 * x65
x67 = x36 * x66
x68 = x58 * x64
x69 = x46 * x55
x70 = x40 * x60
x71 = x58**2 * x65
x72 = x1 * x65
x73 = x71 + x72
x74 = x36 * x73
x75 = x70 * x74
x76 = -x44 - A[1]
x77 = x42 * x76
x78 = 2.23606797749979
x79 = 0.06666666666666667 * x78
x80 = x33 * x79
x81 = x60 * x76
x82 = x45 * x81
x83 = x62 + x82
x84 = 3.872983346207417
x85 = 0.06666666666666667 * x66
x86 = x84 * x85
x87 = 0.06666666666666667 * x84
x88 = x76 * x87
x89 = x59 * x88
x90 = x45 * x60
x91 = x1 * (x81 + x90)
x92 = x45 * x83
x93 = x91 + x92
x94 = x78 * x85
x95 = x58 * x65
x96 = x83 * x95
x97 = x40 * x51
x98 = x87 * x97
x99 = x40 * x79
x100 = x73 * x99
x101 = -x57 - A[2]
x102 = x101 * x42
x103 = x46 * x87
x104 = x101 * x65
x105 = x104 * x58
x106 = x105 + x72
x107 = x106 * x84
x108 = 0.06666666666666667 * x70
x109 = x108 * x52
x110 = x104 * x63
x111 = x79 * x97
x112 = 0.06666666666666667 * x107
x113 = x112 * x97
x114 = x1 * (x104 + x95)
x115 = x106 * x58
x116 = x114 + x115
x117 = x108 * x78
x118 = x117 * x51
x119 = x76**2
x120 = x119 * x60
x121 = x120 + x62
x122 = 1.732050807568877
x123 = x122 * x40
x124 = 0.1111111111111111 * x123
x125 = x124 * x65
x126 = x76 * x83
x127 = x126 + x91
x128 = 0.3333333333333333 * x40
x129 = x128 * x65
x130 = x121 * x128
x131 = x130 * x24
x132 = 3.0 * x62
x133 = 2.0 * x82
x134 = x1 * (x132 + x133 + x61)
x135 = x76 * x93
x136 = x134 + x135
x137 = x136 * x65
x138 = x123 * x47
x139 = 0.1111111111111111 * x138
x140 = x127 * x95
x141 = x128 * x47
x142 = x121 * x73
x143 = x128 * x39
x144 = x101 * x143
x145 = x38 * x76
x146 = x145 * x32
x147 = 0.3333333333333333 * x123
x148 = x147 * x83
x149 = x104 * x24
x150 = x106 * x147
x151 = x150 * x24
x152 = x104 * x93
x153 = x106 * x83
x154 = 0.3333333333333333 * x138
x155 = x116 * x81
x156 = x101**2
x157 = x156 * x65
x158 = x157 + x72
x159 = x123 * x158
x160 = 0.1111111111111111 * x159
x161 = x128 * x158
x162 = x101 * x106
x163 = x114 + x162
x164 = x163 * x24
x165 = x128 * x60
x166 = x158 * x63
x167 = x163 * x90
x168 = 3.0 * x72
x169 = 2.0 * x105
x170 = x1 * (x168 + x169 + x71)
x171 = x101 * x116
x172 = x170 + x171
x173 = x172 * x60
x174 = x121 * x76
x175 = x62 * x76
x176 = 2.0 * x175
x177 = x174 + x176
x178 = x120 + x132
x179 = x1 * (x133 + x178)
x180 = x127 * x76
x181 = x179 + x180
x182 = x22 * x86
x183 = x22 * x87
x184 = x177 * x40
x185 = x184 * x95
x186 = x5 * x79
x187 = 2.0 * x1 * (x126 + 2.0 * x91 + x92) + x136 * x76
x188 = 3.141592653589793 * x2 * x7
x189 = x188 * x41
x190 = x187 * x189
x191 = x5 * x87
x192 = x189 * x58
x193 = x191 * x192
x194 = x121 * x128 * x30
x195 = x147 * x22
x196 = x104 * x195
x197 = x121 * x195
x198 = x188 * x5
x199 = x144 * x198
x200 = x12 * x150
x201 = x12 * x130
x202 = x22 * x83
x203 = x147 * x158
x204 = x195 * x81
x205 = x12 * x163
x206 = x38 * x7
x207 = x172 * x76
x208 = x206 * x207
x209 = x128 * x5
x210 = x101 * x158
x211 = x101 * x72
x212 = 2.0 * x211
x213 = x210 + x212
x214 = x213 * x30
x215 = x213 * x40
x216 = x183 * x215
x217 = x157 + x168
x218 = x1 * (x169 + x217)
x219 = x101 * x163
x220 = x218 + x219
x221 = x22 * x220
x222 = x108 * x84
x223 = x213 * x99
x224 = x12 * x63
x225 = x220 * x45
x226 = x206 * x40
x227 = x191 * x226
x228 = 2.0 * x1 * (2.0 * x114 + x115 + x162) + x101 * x172
x229 = x226 * x228
x230 = x16 + x27
x231 = x1 * (3.0 * x120 + x132) + x177 * x76
x232 = x4 * x55
x233 = x1 * (3.0 * x126 + x177 + 3.0 * x91) + x181 * x76
x234 = x189 * x233
x235 = x192 * x232
x236 = x1 * (3.0 * x134 + 3.0 * x135 + 2.0 * x179 + 2.0 * x180) + x187 * x76
x237 = x189 * x36
x238 = x55 * x58
x239 = x11 * x40
x240 = x239 * x74
x241 = x177 * x230
x242 = x104 * x99
x243 = x101 * x189
x244 = x4 * x87
x245 = x243 * x244
x246 = x112 * x20
x247 = x101 * x79
x248 = 0.06666666666666667 * x239
x249 = x107 * x248
x250 = x116 * x177
x251 = x248 * x78
x252 = x121 * x230
x253 = x130 * x20
x254 = x127 * x163
x255 = x11 * x128
x256 = x121 * x172
x257 = x11 * x124
x258 = x223 * x230
x259 = x20 * x215
x260 = x83 * x87
x261 = x220 * x76
x262 = x226 * x244
x263 = x213 * x93
x264 = x220 * x83
x265 = x248 * x84
x266 = x229 * x79
x267 = x1 * (3.0 * x157 + x168) + x101 * x213
x268 = x230 * x267
x269 = x36 * x70
x270 = x267 * x45
x271 = x226 * x232
x272 = x1 * (3.0 * x114 + 3.0 * x162 + x213) + x101 * x220
x273 = x226 * x272
x274 = x267 * x63
x275 = x239 * x36
x276 = x273 * x55
x277 = x1 * (3.0 * x170 + 3.0 * x171 + 2.0 * x218 + 2.0 * x219) + x101 * x228
x278 = x226 * x36
x279 = x1 * x53
x280 = x42 * x55
x281 = x279 * x280
x282 = x1 * x64
x283 = 0.01904761904761905 * x35
x284 = x1 * x68
x285 = x1 * x33
x286 = x285 * x42 * x79
x287 = x45 * x62
x288 = x175 + x287
x289 = x1 * x52
x290 = x289 * x58
x291 = x42 * x87
x292 = x1 * (x132 + x82)
x293 = x288 * x45
x294 = x292 + x293
x295 = x288 * x84
x296 = 0.06666666666666667 * x295
x297 = x62 * x73
x298 = x101 * x289
x299 = x1 * x101
x300 = x299 * x46
x301 = 0.1333333333333333 * x78
x302 = x301 * x51
x303 = 0.2222222222222222 * x123
x304 = x303 * x39
x305 = x1 * x304
x306 = x288 * x76
x307 = x292 + x306
x308 = x24 * x77
x309 = x1 * x58
x310 = 0.6666666666666666 * x309
x311 = x1 * (x176 + 4.0 * x287 + x93)
x312 = x294 * x76
x313 = x311 + x312
x314 = 0.2222222222222222 * x138
x315 = x299 * x32
x316 = x315 * x38
x317 = x147 * x288
x318 = x106 * x288
x319 = x116 * x62
x320 = x161 * x62
x321 = x163 * x62
x322 = x1 * x178
x323 = x119 * x62
x324 = x322 + 2.0 * x323
x325 = x1 * (x127 + 4.0 * x175 + 2.0 * x287)
x326 = x307 * x76
x327 = x325 + x326
x328 = x324 * x40
x329 = x328 * x95
x330 = 2.0 * x306
x331 = 4.0 * x292
x332 = 2.0 * x293 + x331
x333 = x1 * (x136 + x330 + x332)
x334 = x313 * x76
x335 = x333 + x334
x336 = x189 * x335
x337 = x30 * x77
x338 = 0.6666666666666666 * x299
x339 = x337 * x338
x340 = x175 * x22
x341 = 0.6666666666666666 * x123
x342 = x116 * x76
x343 = x1 * x226
x344 = 0.6666666666666666 * x343
x345 = x344 * x5
x346 = x342 * x345
x347 = x206 * x209
x348 = x1 * x172
x349 = x213 * x45
x350 = x343 * x5
x351 = x1 * x220
x352 = x1 * (x174 + 8.0 * x175) + x324 * x76
x353 = 3.0 * x292
x354 = x189 * (x1 * (x181 + 3.0 * x306 + x324 + x353) + x327 * x76)
x355 = 2.0 * x325 + 2.0 * x326
x356 = x175 * x230
x357 = 0.2222222222222222 * x159
x358 = x163 * x76
x359 = x1 * x208
x360 = x1 * x266
x361 = x283 * x343
x362 = x1 * x276
x363 = x72 * x83
x364 = x309 * x77
x365 = x58 * x72
x366 = x211 + x365
x367 = x366 * x84
x368 = x63 * x72
x369 = 0.06666666666666667 * x367
x370 = x105 + x168
x371 = x1 * x370
x372 = x366 * x58
x373 = x371 + x372
x374 = x141 * x72
x375 = x1 * x143
x376 = x24 * x72
x377 = x147 * x366
x378 = x366 * x83
x379 = x101 * x366
x380 = x371 + x379
x381 = x1 * (x116 + x212 + 4.0 * x365)
x382 = x101 * x373
x383 = x381 + x382
x384 = x184 * x72
x385 = x1 * x189
x386 = x181 * x385
x387 = x177 * x301
x388 = x189 * x5
x389 = x309 * x388
x390 = x127 * x72
x391 = x136 * x198
x392 = x189 * x338
x393 = x392 * x5 * x93
x394 = x12 * x380
x395 = x383 * x76
x396 = x1 * x217
x397 = x156 * x72
x398 = x396 + 2.0 * x397
x399 = x398 * x40
x400 = x399 * x90
x401 = x1 * (x163 + 4.0 * x211 + 2.0 * x365)
x402 = x101 * x380
x403 = x401 + x402
x404 = x398 * x99
x405 = x403 * x45
x406 = 2.0 * x379
x407 = 4.0 * x371
x408 = 2.0 * x372 + x407
x409 = x1 * (x172 + x406 + x408)
x410 = x101 * x383
x411 = x409 + x410
x412 = x226 * x411
x413 = x231 * x385
x414 = x189 * x55
x415 = x1 * x233 * x414
x416 = x231 * x309
x417 = x1 * x187 * x189 * x79
x418 = x136 * x188 * x299
x419 = x20 * x399
x420 = x4 * x403
x421 = x1 * (x210 + 8.0 * x211) + x101 * x398
x422 = x421 * x45
x423 = 3.0 * x371
x424 = x226 * (x1 * (x220 + 3.0 * x379 + x398 + x423) + x101 * x403)
x425 = 2.0 * x401 + 2.0 * x402
x426 = x1 * x20
x427 = x1 * (x30 + 4.0 * x426 + x50)
x428 = x13 + x17
x429 = x1 * x428
x430 = x426 + x49
x431 = x4 * x430
x432 = x429 + x431
x433 = x432 * x5
x434 = x1 * (x24 + 2.0 * x426 + 4.0 * x49)
x435 = x430 * x5
x436 = x429 + x435
x437 = x436 * x5
x438 = 2.0 * x434 + 2.0 * x437
x439 = 2.0 * x431
x440 = 4.0 * x429
x441 = 2.0 * x435 + x440
x442 = x1 * (x32 + x439 + x441)
x443 = x427 + x433
x444 = x443 * x5
x445 = x442 + x444
x446 = 3.0 * x429
x447 = x1 * x18
x448 = x1 * x15
x449 = x447 + 2.0 * x448
x450 = x434 + x437
x451 = x1 * (3.0 * x435 + x446 + x449 + x52) + x450 * x5
x452 = x451 * x55
x453 = x1 * (x48 + 8.0 * x49) + x449 * x5
x454 = x453 * x46
x455 = x445 * x79
x456 = x40 * x449
x457 = x456 * x90
x458 = x303 * x49
x459 = x145 * x443
x460 = x104 * x436
x461 = x436 * x81
x462 = x206 * x5
x463 = x430 * x84
x464 = 0.06666666666666667 * x463
x465 = x189 * x87
x466 = x147 * x430
x467 = x121 * x430
x468 = x127 * x16
x469 = x130 * x16
x470 = x430 * x83
x471 = x16 * x161
x472 = x16 * x163
x473 = x16 * x63
x474 = x343 * x87
x475 = x189 * x299
x476 = x4 * x475
x477 = x16 * x184
x478 = x121 * x426
x479 = x213 * x4
x480 = x343 * x76
x481 = x16 * x215
x482 = x1 * x42
x483 = 0.01649572197684645 * x54
x484 = x451 * x482 * x483
x485 = 0.0329914439536929 * x35
x486 = x309 * x42
x487 = x453 * x486
x488 = 0.1154700538379251 * x78
x489 = x445 * x482 * x488
x490 = 0.1154700538379251 * x66
x491 = 0.1154700538379251 * x84
x492 = x450 * x491
x493 = x490 * x78
x494 = 0.1154700538379251 * x456
x495 = x456 * x488
x496 = 0.2309401076758503 * x78
x497 = x449 * x496
x498 = x123 * x39
x499 = 0.3849001794597505 * x498
x500 = x1 * x499
x501 = 0.5773502691896257 * x307
x502 = 1.154700538379251 * x77
x503 = 1.154700538379251 * x5
x504 = x189 * x503
x505 = x0 ** (-2.0)
x506 = 0.7698003589195009 * x505
x507 = x462 * x506
x508 = 0.5773502691896257 * x299
x509 = 0.5773502691896257 * x288
x510 = x123 * x509
x511 = 0.5773502691896257 * x123
x512 = x106 * x511
x513 = x294 * x299 * x504
x514 = 1.154700538379251 * x123
x515 = x49 * x514
x516 = x226 * x505
x517 = x503 * x516
x518 = 0.5773502691896257 * x436
x519 = x158 * x40
x520 = x519 * x62
x521 = 0.1154700538379251 * x463
x522 = x1 * x488
x523 = x336 * x522
x524 = x189 * x309
x525 = x327 * x491
x526 = x16 * x328
x527 = x299 * x432 * x502
x528 = x430 * x511
x529 = x189 * x313
x530 = 1.154700538379251 * x516
x531 = 0.5773502691896257 * x432
x532 = x16 * x519
x533 = 0.5773502691896257 * x294
x534 = 0.5773502691896257 * x505
x535 = x496 * x516
x536 = x220 * x491 * x516
x537 = x352 * x4
x538 = x1 * x483
x539 = x354 * x538
x540 = x352 * x524
x541 = x324 * x496
x542 = x4 * x506
x543 = 0.1154700538379251 * x295
x544 = x42 * x505
x545 = x491 * x52 * x544
x546 = x496 * x505 * x51
x547 = 0.1154700538379251 * x367
x548 = 1.154700538379251 * x505
x549 = x40 * x47
x550 = x549 * x72
x551 = x145 * x506
x552 = x138 * x39
x553 = x366 * x511
x554 = 0.5773502691896257 * x62
x555 = x102 * x548
x556 = x101 * x506
x557 = x380 * x40
x558 = x22 * x72
x559 = x385 * x525
x560 = 0.5773502691896257 * x1
x561 = x5 * x560
x562 = x373 * x480 * x503
x563 = x211 * x514
x564 = x22 * x62
x565 = x380 * x511
x566 = x399 * x491
x567 = x398 * x496
x568 = x343 * x491
x569 = x230 * x488
x570 = 0.1154700538379251 * x239
x571 = x570 * x78
x572 = x101 * x498
x573 = 1.154700538379251 * x4
x574 = x1 * x206
x575 = x557 * x574
x576 = x299 * x499
x577 = 0.3849001794597505 * x123
x578 = x412 * x522
x579 = x4 * x421
x580 = x226 * x538
x581 = x343 * x485
x582 = x424 * x538
x583 = 0.5 * x39
x584 = 3.0 * x505
x585 = x11 * x584
x586 = x448 + x585
x587 = x1 * (x441 + x586)
x588 = 3.0 * x1 * (x426 + x49)
x589 = x429 * x5
x590 = x588 + x589
x591 = x5 * x590
x592 = x16 * x26 + x585
x593 = x1 * (x439 + x440 + x592)
x594 = x4 * x429
x595 = x588 + x594
x596 = x5 * x595
x597 = x593 + x596
x598 = 2.0 * x1 * (x427 + x433 + 2.0 * x588 + x589 + x594) + x5 * x597
x599 = x38 * (
x1 * (2.0 * x442 + 2.0 * x444 + 2.0 * x587 + 2.0 * x591 + 3.0 * x593 + 3.0 * x596)
+ x5 * x598
)
x600 = 0.009523809523809524 * x40
x601 = x35 * x600
x602 = 6.0 * x505
x603 = x12 * x602 + x5 * x586
x604 = x587 + x591
x605 = x1 * (x438 + x446 * x5 + 3.0 * x588 + x603) + x5 * x604
x606 = x38 * x583
x607 = x605 * x606
x608 = x54 * x600
x609 = 0.5 * x65
x610 = x584 * x60
x611 = x1 * x61 + x610
x612 = x611 * x64
x613 = 9.0 * x505
x614 = x1 * (x11 * x613 + 2.0 * x447 + 7.0 * x448) + x5 * x603
x615 = x45 * x606
x616 = x58 * x614
x617 = 0.5 * x73
x618 = x60 * x614
x619 = x584 * x65
x620 = x1 * x71 + x619
x621 = x62 * x64
x622 = x598 * x606
x623 = 0.06666666666666667 * x40
x624 = x623 * x78
x625 = x604 * x83
x626 = x292 * x52
x627 = x623 * x84
x628 = x604 * x76
x629 = x1 * x132 * (x45 + x76)
x630 = x292 * x45
x631 = x629 + x630
x632 = x51 * x631
x633 = 0.5 * x603
x634 = 0.5 * x51
x635 = x292 * x95
x636 = x603 * x81
x637 = x175 * x51
x638 = x101 * x604
x639 = 0.5 * x106
x640 = x60 * x604
x641 = x52 * x62
x642 = x104 * x611
x643 = x603 * x90
x644 = x287 * x51
x645 = 0.5 * x60
x646 = x116 * x603
x647 = x1 * x168 * (x101 + x58)
x648 = x371 * x58
x649 = x647 + x648
x650 = x323 + x610
x651 = x32 * x650
x652 = 0.1111111111111111 * x123
x653 = x292 * x76
x654 = x629 + x653
x655 = x24 * x654
x656 = 0.3333333333333333 * x40
x657 = 0.5 * x95
x658 = x24 * x650
x659 = 0.5 * x586
x660 = x1 * (x332 + x611)
x661 = x631 * x76
x662 = x660 + x661
x663 = x47 * x662
x664 = x47 * x654
x665 = x47 * x650
x666 = x101 * x597
x667 = 0.5 * x104
x668 = x590 * x83
x669 = x24 * x292
x670 = x122 * x656
x671 = x590 * x81
x672 = x175 * x24
x673 = x47 * x631
x674 = x292 * x47
x675 = 0.5 * x116
x676 = x175 * x47
x677 = 0.5 * x158
x678 = x597 * x60
x679 = x397 + x619
x680 = x32 * x62
x681 = x590 * x90
x682 = x24 * x287
x683 = x163 * x590
x684 = x101 * x371
x685 = x647 + x684
x686 = 0.5 * x62
x687 = x47 * x611
x688 = 0.5 * x163
x689 = x287 * x47
x690 = x1 * (x408 + x620)
x691 = x101 * x649
x692 = x690 + x691
x693 = x172 * x47
x694 = x602 * x81 + x650 * x76
x695 = x30 * x694
x696 = x177 * x595
x697 = x1 * (x330 + x331 + x650)
x698 = x654 * x76
x699 = x697 + x698
x700 = x22 * x699
x701 = x22 * x694
x702 = 2.0 * x1 * (x311 + x312 + 2.0 * x629 + x630 + x653) + x662 * x76
x703 = x188 * x583
x704 = x702 * x703
x705 = x5 * x703
x706 = x58 * x699
x707 = x12 * x694
x708 = x30 * x650
x709 = x22 * x654
x710 = x22 * x650
x711 = x101 * x662
x712 = x12 * x654
x713 = 0.5 * x12
x714 = x116 * x650
x715 = x595 * x81
x716 = x175 * x30
x717 = x22 * x292
x718 = x12 * x631
x719 = x49 * x83
x720 = x163 * x292
x721 = 1.0 * x206
x722 = x5 * x721
x723 = x1 * x721
x724 = x5 * x723
x725 = x213 * x595
x726 = x101 * x679 + x104 * x602
x727 = 0.5 * x213
x728 = x22 * x287
x729 = x1 * (x406 + x407 + x679)
x730 = x101 * x685
x731 = x729 + x730
x732 = x213 * x611
x733 = 2.0 * x1 * (x381 + x382 + 2.0 * x647 + x648 + x684) + x101 * x692
x734 = x721 * x733
x735 = x228 * x723
x736 = x231 * x592
x737 = x1 * (2.0 * x322 + 7.0 * x323 + x60 * x613) + x694 * x76
x738 = x230 * x737
x739 = x1 * (x353 * x76 + x355 + 3.0 * x629 + x694) + x699 * x76
x740 = x703 * x739
x741 = x4 * x703
x742 = x58 * x737
x743 = x188 * (
x1 * (2.0 * x333 + 2.0 * x334 + 3.0 * x660 + 3.0 * x661 + 2.0 * x697 + 2.0 * x698)
+ x702 * x76
)
x744 = x11 * x737
x745 = x177 * x592
x746 = x230 * x694
x747 = x101 * x699
x748 = x20 * x694
x749 = x11 * x699
x750 = 0.5 * x11
x751 = x116 * x694
x752 = 0.5 * x16
x753 = x121 * x592
x754 = x230 * x650
x755 = x20 * x654
x756 = x20 * x650
x757 = x11 * x662
x758 = x163 * x654
x759 = x172 * x650
x760 = x592 * x81
x761 = x426 * x83
x762 = x20 * x292
x763 = x4 * x721
x764 = x4 * x723
x765 = x213 * x631
x766 = x220 * x292
x767 = x267 * x592
x768 = x1 * (2.0 * x396 + 7.0 * x397 + x613 * x65) + x101 * x726
x769 = x721 * (x1 * (x101 * x423 + x425 + 3.0 * x647 + x726) + x101 * x731)
x770 = x272 * x723
x771 = x267 * x611
x772 = x1 * x492
x773 = 0.1154700538379251 * x70
x774 = x773 * x78
x775 = x121 * x40
x776 = x72 * x775
x777 = x189 * x505
x778 = x503 * x777
x779 = x198 * x498
x780 = x181 * x491 * x777
x781 = x177 * x496 * x777
x782 = 0.5773502691896257 * x16
x783 = x243 * x548
x784 = x16 * x83
x785 = 0.8660254037844386 * x39
x786 = x38 * x785
x787 = x605 * x786
x788 = x279 * x786
x789 = 0.8660254037844386 * x65
x790 = x45 * x786
x791 = 0.8660254037844386 * x73
x792 = x598 * x786
x793 = x76 * x786
x794 = 0.8660254037844386 * x51
x795 = 0.8660254037844386 * x106
x796 = 0.8660254037844386 * x60
x797 = 0.8660254037844386 * x95
x798 = 0.8660254037844386 * x586
x799 = 0.8660254037844386 * x104
x800 = 0.8660254037844386 * x158
x801 = 0.8660254037844386 * x62
x802 = 0.8660254037844386 * x163
x803 = x188 * x785
x804 = x702 * x803
x805 = x5 * x803
x806 = 0.8660254037844386 * x12
x807 = 0.8660254037844386 * x213
x808 = x739 * x803
x809 = x4 * x803
x810 = 0.8660254037844386 * x11
# 810 item(s)
result[0, 0, 0] = x34 * x43
result[0, 0, 1] = x46 * x56
result[0, 0, 2] = x56 * x59
result[0, 0, 3] = x63 * x64 * x67
result[0, 0, 4] = x68 * x69
result[0, 0, 5] = x64 * x75
result[0, 1, 0] = x77 * x80
result[0, 1, 1] = x52 * x83 * x86
result[0, 1, 2] = x52 * x89
result[0, 1, 3] = x51 * x93 * x94
result[0, 1, 4] = x96 * x98
result[0, 1, 5] = x100 * x51 * x81
result[0, 2, 0] = x102 * x80
result[0, 2, 1] = x101 * x103 * x52
result[0, 2, 2] = x107 * x109
result[0, 2, 3] = x110 * x111
result[0, 2, 4] = x113 * x90
result[0, 2, 5] = x116 * x118
result[0, 3, 0] = x121 * x125 * x32
result[0, 3, 1] = x127 * x129 * x24
result[0, 3, 2] = x131 * x95
result[0, 3, 3] = x137 * x139
result[0, 3, 4] = x140 * x141
result[0, 3, 5] = x139 * x142
result[0, 4, 0] = x144 * x146
result[0, 4, 1] = x148 * x149
result[0, 4, 2] = x151 * x81
result[0, 4, 3] = x141 * x152
result[0, 4, 4] = x153 * x154
result[0, 4, 5] = x141 * x155
result[0, 5, 0] = x160 * x32 * x60
result[0, 5, 1] = x161 * x24 * x90
result[0, 5, 2] = x164 * x165
result[0, 5, 3] = x139 * x166
result[0, 5, 4] = x141 * x167
result[0, 5, 5] = x139 * x173
result[0, 6, 0] = x177 * x30 * x94
result[0, 6, 1] = x181 * x182
result[0, 6, 2] = x183 * x185
result[0, 6, 3] = x186 * x190
result[0, 6, 4] = x181 * x193
result[0, 6, 5] = x100 * x12 * x177
result[0, 7, 0] = x104 * x194
result[0, 7, 1] = x127 * x196
result[0, 7, 2] = x106 * x197
result[0, 7, 3] = x136 * x199
result[0, 7, 4] = x127 * x200
result[0, 7, 5] = x116 * x201
result[0, 8, 0] = x161 * x30 * x81
result[0, 8, 1] = x202 * x203
result[0, 8, 2] = x163 * x204
result[0, 8, 3] = x12 * x161 * x93
result[0, 8, 4] = x148 * x205
result[0, 8, 5] = x208 * x209
result[0, 9, 0] = x117 * x214
result[0, 9, 1] = x216 * x90
result[0, 9, 2] = x221 * x222
result[0, 9, 3] = x223 * x224
result[0, 9, 4] = x225 * x227
result[0, 9, 5] = x186 * x229
result[0, 10, 0] = x230 * x231 * x67
result[0, 10, 1] = x232 * x234
result[0, 10, 2] = x231 * x235
result[0, 10, 3] = x236 * x237
result[0, 10, 4] = x234 * x238
result[0, 10, 5] = x231 * x240
result[0, 11, 0] = x241 * x242
result[0, 11, 1] = x181 * x245
result[0, 11, 2] = x184 * x246
result[0, 11, 3] = x190 * x247
result[0, 11, 4] = x181 * x249
result[0, 11, 5] = x250 * x251
result[0, 12, 0] = x160 * x252
result[0, 12, 1] = x127 * x161 * x20
result[0, 12, 2] = x163 * x253
result[0, 12, 3] = x11 * x136 * x160
result[0, 12, 4] = x254 * x255
result[0, 12, 5] = x256 * x257
result[0, 13, 0] = x258 * x81
result[0, 13, 1] = x259 * x260
result[0, 13, 2] = x261 * x262
result[0, 13, 3] = x251 * x263
result[0, 13, 4] = x264 * x265
result[0, 13, 5] = x266 * x76
result[0, 14, 0] = x268 * x269
result[0, 14, 1] = x270 * x271
result[0, 14, 2] = x232 * x273
result[0, 14, 3] = x274 * x275
result[0, 14, 4] = x276 * x45
result[0, 14, 5] = x277 * x278
result[1, 0, 0] = 0
result[1, 0, 1] = x281
result[1, 0, 2] = 0
result[1, 0, 3] = x282 * x283 * x46
result[1, 0, 4] = x280 * x284
result[1, 0, 5] = 0
result[1, 1, 0] = x286
result[1, 1, 1] = x288 * x52 * x86
result[1, 1, 2] = x290 * x291
result[1, 1, 3] = x294 * x51 * x94
result[1, 1, 4] = x296 * x95 * x97
result[1, 1, 5] = x111 * x297
result[1, 2, 0] = 0
result[1, 2, 1] = x291 * x298
result[1, 2, 2] = 0
result[1, 2, 3] = x300 * x302
result[1, 2, 4] = x113 * x62
result[1, 2, 5] = 0
result[1, 3, 0] = x146 * x305
result[1, 3, 1] = x129 * x24 * x307
result[1, 3, 2] = x308 * x310
result[1, 3, 3] = x139 * x313 * x65
result[1, 3, 4] = x141 * x307 * x95
result[1, 3, 5] = x175 * x314 * x73
result[1, 4, 0] = x143 * x316
result[1, 4, 1] = x149 * x317
result[1, 4, 2] = x151 * x62
result[1, 4, 3] = x104 * x141 * x294
result[1, 4, 4] = x154 * x318
result[1, 4, 5] = x141 * x319
result[1, 5, 0] = 0
result[1, 5, 1] = x24 * x320
result[1, 5, 2] = 0
result[1, 5, 3] = x158 * x287 * x314
result[1, 5, 4] = x141 * x321
result[1, 5, 5] = 0
result[1, 6, 0] = x30 * x324 * x94
result[1, 6, 1] = x182 * x327
result[1, 6, 2] = x183 * x329
result[1, 6, 3] = x186 * x336
result[1, 6, 4] = x193 * x327
result[1, 6, 5] = x100 * x12 * x324
result[1, 7, 0] = x339
result[1, 7, 1] = x196 * x307
result[1, 7, 2] = x106 * x340 * x341
result[1, 7, 3] = x199 * x313
result[1, 7, 4] = x200 * x307
result[1, 7, 5] = x346
result[1, 8, 0] = x30 * x320
result[1, 8, 1] = x158 * x195 * x288
result[1, 8, 2] = x195 * x321
result[1, 8, 3] = x12 * x161 * x294
result[1, 8, 4] = x205 * x317
result[1, 8, 5] = x347 * x348
result[1, 9, 0] = 0
result[1, 9, 1] = x216 * x62
result[1, 9, 2] = 0
result[1, 9, 3] = x301 * x349 * x350
result[1, 9, 4] = x227 * x351
result[1, 9, 5] = 0
result[1, 10, 0] = x230 * x352 * x67
result[1, 10, 1] = x232 * x354
result[1, 10, 2] = x235 * x352
result[1, 10, 3] = x237 * (x1 * (x187 + 3.0 * x311 + 3.0 * x312 + x355) + x335 * x76)
result[1, 10, 4] = x238 * x354
result[1, 10, 5] = x240 * x352
result[1, 11, 0] = x230 * x242 * x324
result[1, 11, 1] = x245 * x327
result[1, 11, 2] = x246 * x328
result[1, 11, 3] = x247 * x336
result[1, 11, 4] = x249 * x327
result[1, 11, 5] = x116 * x251 * x324
result[1, 12, 0] = x356 * x357
result[1, 12, 1] = x161 * x20 * x307
result[1, 12, 2] = x344 * x358 * x4
result[1, 12, 3] = x11 * x160 * x313
result[1, 12, 4] = x163 * x255 * x307
result[1, 12, 5] = x303 * x359
result[1, 13, 0] = x258 * x62
result[1, 13, 1] = x259 * x296
result[1, 13, 2] = x262 * x351
result[1, 13, 3] = x213 * x251 * x294
result[1, 13, 4] = x220 * x265 * x288
result[1, 13, 5] = x360
result[1, 14, 0] = 0
result[1, 14, 1] = x1 * x267 * x271
result[1, 14, 2] = 0
result[1, 14, 3] = x270 * x361
result[1, 14, 4] = x362
result[1, 14, 5] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x281
result[2, 0, 3] = 0
result[2, 0, 4] = x282 * x69
result[2, 0, 5] = x283 * x284 * x42
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x289 * x291 * x76
result[2, 1, 3] = 0
result[2, 1, 4] = x363 * x98
result[2, 1, 5] = x302 * x364
result[2, 2, 0] = x286
result[2, 2, 1] = x103 * x289
result[2, 2, 2] = x109 * x367
result[2, 2, 3] = x111 * x368
result[2, 2, 4] = x369 * x90 * x97
result[2, 2, 5] = x118 * x373
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x131 * x72
result[2, 3, 3] = 0
result[2, 3, 4] = x127 * x374
result[2, 3, 5] = x121 * x314 * x365
result[2, 4, 0] = x146 * x375
result[2, 4, 1] = x148 * x376
result[2, 4, 2] = x24 * x377 * x81
result[2, 4, 3] = x374 * x93
result[2, 4, 4] = x154 * x378
result[2, 4, 5] = x141 * x373 * x81
result[2, 5, 0] = x304 * x316
result[2, 5, 1] = x24 * x338 * x46
result[2, 5, 2] = x165 * x24 * x380
result[2, 5, 3] = x211 * x314 * x63
result[2, 5, 4] = x141 * x380 * x90
result[2, 5, 5] = x139 * x383 * x60
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = x183 * x384
result[2, 6, 3] = 0
result[2, 6, 4] = x191 * x386
result[2, 6, 5] = x387 * x389
result[2, 7, 0] = x194 * x72
result[2, 7, 1] = x195 * x390
result[2, 7, 2] = x197 * x366
result[2, 7, 3] = x375 * x391
result[2, 7, 4] = x12 * x127 * x377
result[2, 7, 5] = x201 * x373
result[2, 8, 0] = x339
result[2, 8, 1] = x202 * x211 * x341
result[2, 8, 2] = x204 * x380
result[2, 8, 3] = x393
result[2, 8, 4] = x148 * x394
result[2, 8, 5] = x347 * x395
result[2, 9, 0] = x117 * x30 * x398
result[2, 9, 1] = x183 * x400
result[2, 9, 2] = x22 * x222 * x403
result[2, 9, 3] = x224 * x404
result[2, 9, 4] = x227 * x405
result[2, 9, 5] = x186 * x412
result[2, 10, 0] = 0
result[2, 10, 1] = 0
result[2, 10, 2] = x232 * x413
result[2, 10, 3] = 0
result[2, 10, 4] = x415
result[2, 10, 5] = x189 * x283 * x416
result[2, 11, 0] = x241 * x72 * x99
result[2, 11, 1] = x244 * x386
result[2, 11, 2] = x184 * x20 * x369
result[2, 11, 3] = x417
result[2, 11, 4] = x181 * x265 * x366
result[2, 11, 5] = x177 * x251 * x373
result[2, 12, 0] = x211 * x252 * x303
result[2, 12, 1] = x127 * x392 * x4
result[2, 12, 2] = x253 * x380
result[2, 12, 3] = x304 * x418
result[2, 12, 4] = x127 * x255 * x380
result[2, 12, 5] = x121 * x257 * x383
result[2, 13, 0] = x230 * x404 * x81
result[2, 13, 1] = x260 * x419
result[2, 13, 2] = x226 * x420 * x88
result[2, 13, 3] = x251 * x398 * x93
result[2, 13, 4] = x265 * x403 * x83
result[2, 13, 5] = x412 * x76 * x79
result[2, 14, 0] = x230 * x269 * x421
result[2, 14, 1] = x271 * x422
result[2, 14, 2] = x232 * x424
result[2, 14, 3] = x275 * x421 * x63
result[2, 14, 4] = x424 * x45 * x55
result[2, 14, 5] = x278 * (x1 * (x228 + 3.0 * x381 + 3.0 * x382 + x425) + x101 * x411)
result[3, 0, 0] = x43 * (x1 * (x33 + 3.0 * x427 + 3.0 * x433 + x438) + x445 * x5)
result[3, 0, 1] = x452 * x46
result[3, 0, 2] = x452 * x59
result[3, 0, 3] = x453 * x63 * x67
result[3, 0, 4] = x238 * x454
result[3, 0, 5] = x453 * x75
result[3, 1, 0] = x455 * x77
result[3, 1, 1] = x450 * x83 * x86
result[3, 1, 2] = x450 * x89
result[3, 1, 3] = x449 * x93 * x94
result[3, 1, 4] = x456 * x87 * x96
result[3, 1, 5] = x100 * x449 * x81
result[3, 2, 0] = x102 * x455
result[3, 2, 1] = x101 * x103 * x450
result[3, 2, 2] = x107 * x108 * x450
result[3, 2, 3] = x110 * x449 * x99
result[3, 2, 4] = x112 * x457
result[3, 2, 5] = x116 * x117 * x449
result[3, 3, 0] = x121 * x125 * x443
result[3, 3, 1] = x127 * x129 * x436
result[3, 3, 2] = x130 * x436 * x95
result[3, 3, 3] = x305 * x391
result[3, 3, 4] = x127 * x310 * x388
result[3, 3, 5] = x142 * x458
result[3, 4, 0] = x144 * x459
result[3, 4, 1] = x148 * x460
result[3, 4, 2] = x150 * x461
result[3, 4, 3] = x393
result[3, 4, 4] = x153 * x341 * x49
result[3, 4, 5] = x346
result[3, 5, 0] = x160 * x443 * x60
result[3, 5, 1] = x161 * x436 * x90
result[3, 5, 2] = x163 * x165 * x436
result[3, 5, 3] = x166 * x458
result[3, 5, 4] = x163 * x345 * x45
result[3, 5, 5] = x303 * x348 * x462
result[3, 6, 0] = x177 * x432 * x94
result[3, 6, 1] = x181 * x430 * x86
result[3, 6, 2] = x185 * x464
result[3, 6, 3] = x417
result[3, 6, 4] = x181 * x309 * x465
result[3, 6, 5] = x100 * x16 * x177
result[3, 7, 0] = x104 * x130 * x432
result[3, 7, 1] = x104 * x127 * x466
result[3, 7, 2] = x150 * x467
result[3, 7, 3] = x143 * x418
result[3, 7, 4] = x150 * x468
result[3, 7, 5] = x116 * x469
result[3, 8, 0] = x161 * x432 * x81
result[3, 8, 1] = x203 * x470
result[3, 8, 2] = x163 * x466 * x81
result[3, 8, 3] = x471 * x93
result[3, 8, 4] = x148 * x472
result[3, 8, 5] = x128 * x359
result[3, 9, 0] = x117 * x213 * x432
result[3, 9, 1] = x215 * x464 * x90
result[3, 9, 2] = x220 * x222 * x430
result[3, 9, 3] = x223 * x473
result[3, 9, 4] = x225 * x474
result[3, 9, 5] = x360
result[3, 10, 0] = x283 * x4 * x413
result[3, 10, 1] = x415
result[3, 10, 2] = x414 * x416
result[3, 10, 3] = 0
result[3, 10, 4] = 0
result[3, 10, 5] = 0
result[3, 11, 0] = x387 * x476
result[3, 11, 1] = x181 * x299 * x465
result[3, 11, 2] = x112 * x477
result[3, 11, 3] = 0
result[3, 11, 4] = 0
result[3, 11, 5] = 0
result[3, 12, 0] = x357 * x478
result[3, 12, 1] = x127 * x471
result[3, 12, 2] = x163 * x469
result[3, 12, 3] = 0
result[3, 12, 4] = 0
result[3, 12, 5] = 0
result[3, 13, 0] = x301 * x479 * x480
result[3, 13, 1] = x260 * x481
result[3, 13, 2] = x261 * x474
result[3, 13, 3] = 0
result[3, 13, 4] = 0
result[3, 13, 5] = 0
result[3, 14, 0] = x267 * x361 * x4
result[3, 14, 1] = x270 * x343 * x55
result[3, 14, 2] = x362
result[3, 14, 3] = 0
result[3, 14, 4] = 0
result[3, 14, 5] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x484
result[4, 0, 2] = 0
result[4, 0, 3] = x1 * x454 * x485
result[4, 0, 4] = x483 * x487
result[4, 0, 5] = 0
result[4, 1, 0] = x489
result[4, 1, 1] = x295 * x450 * x490
result[4, 1, 2] = x486 * x492
result[4, 1, 3] = x294 * x449 * x493
result[4, 1, 4] = x295 * x494 * x95
result[4, 1, 5] = x297 * x495
result[4, 2, 0] = 0
result[4, 2, 1] = x299 * x42 * x492
result[4, 2, 2] = 0
result[4, 2, 3] = x300 * x497
result[4, 2, 4] = x107 * x494 * x62
result[4, 2, 5] = 0
result[4, 3, 0] = x459 * x500
result[4, 3, 1] = x436 * x501 * x66
result[4, 3, 2] = x309 * x436 * x502
result[4, 3, 3] = x198 * x313 * x500
result[4, 3, 4] = x307 * x309 * x504
result[4, 3, 5] = x123 * x507 * x73 * x76
result[4, 4, 0] = x42 * x443 * x508
result[4, 4, 1] = x460 * x510
result[4, 4, 2] = x436 * x512 * x62
result[4, 4, 3] = x513
result[4, 4, 4] = x318 * x515
result[4, 4, 5] = x116 * x517
result[4, 5, 0] = 0
result[4, 5, 1] = x518 * x520
result[4, 5, 2] = 0
result[4, 5, 3] = x159 * x45 * x507
result[4, 5, 4] = x163 * x517
result[4, 5, 5] = 0
result[4, 6, 0] = x324 * x432 * x493
result[4, 6, 1] = x327 * x463 * x490
result[4, 6, 2] = x329 * x521
result[4, 6, 3] = x523
result[4, 6, 4] = x524 * x525
result[4, 6, 5] = x488 * x526 * x73
result[4, 7, 0] = x527
result[4, 7, 1] = x104 * x307 * x528
result[4, 7, 2] = x106 * x175 * x430 * x514
result[4, 7, 3] = x508 * x529
result[4, 7, 4] = x16 * x307 * x512
result[4, 7, 5] = x342 * x530
result[4, 8, 0] = x520 * x531
result[4, 8, 1] = x159 * x430 * x509
result[4, 8, 2] = x321 * x528
result[4, 8, 3] = x532 * x533
result[4, 8, 4] = x472 * x510
result[4, 8, 5] = x172 * x226 * x534
result[4, 9, 0] = 0
result[4, 9, 1] = x215 * x521 * x62
result[4, 9, 2] = 0
result[4, 9, 3] = x349 * x535
result[4, 9, 4] = x536
result[4, 9, 5] = 0
result[4, 10, 0] = x385 * x485 * x537
result[4, 10, 1] = x539
result[4, 10, 2] = x483 * x540
result[4, 10, 3] = 0
result[4, 10, 4] = 0
result[4, 10, 5] = 0
result[4, 11, 0] = x476 * x541
result[4, 11, 1] = x475 * x525
result[4, 11, 2] = 0.1154700538379251 * x107 * x526
result[4, 11, 3] = 0
result[4, 11, 4] = 0
result[4, 11, 5] = 0
result[4, 12, 0] = x159 * x206 * x542 * x76
result[4, 12, 1] = x501 * x532
result[4, 12, 2] = x358 * x530
result[4, 12, 3] = 0
result[4, 12, 4] = 0
result[4, 12, 5] = 0
result[4, 13, 0] = x479 * x535
result[4, 13, 1] = x481 * x543
result[4, 13, 2] = x536
result[4, 13, 3] = 0
result[4, 13, 4] = 0
result[4, 13, 5] = 0
result[4, 14, 0] = 0
result[4, 14, 1] = x267 * x483 * x516
result[4, 14, 2] = 0
result[4, 14, 3] = 0
result[4, 14, 4] = 0
result[4, 14, 5] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x483 * x544 * x64
result[5, 0, 5] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x545
result[5, 1, 3] = 0
result[5, 1, 4] = x543 * x72 * x97
result[5, 1, 5] = x546 * x59
result[5, 2, 0] = 0
result[5, 2, 1] = x545
result[5, 2, 2] = 0
result[5, 2, 3] = x46 * x546
result[5, 2, 4] = x547 * x62 * x97
result[5, 2, 5] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x308 * x548
result[5, 3, 3] = 0
result[5, 3, 4] = x501 * x550
result[5, 3, 5] = x551 * x552 * x58
result[5, 4, 0] = x32 * x42 * x534
result[5, 4, 1] = x376 * x510
result[5, 4, 2] = x24 * x553 * x62
result[5, 4, 3] = x533 * x550
result[5, 4, 4] = x138 * x366 * x509
result[5, 4, 5] = x373 * x549 * x554
result[5, 5, 0] = 0
result[5, 5, 1] = x24 * x555
result[5, 5, 2] = 0
result[5, 5, 3] = x38 * x45 * x552 * x556
result[5, 5, 4] = x47 * x554 * x557
result[5, 5, 5] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = x328 * x491 * x558
result[5, 6, 3] = 0
result[5, 6, 4] = x5 * x559
result[5, 6, 5] = x389 * x541
result[5, 7, 0] = x337 * x548
result[5, 7, 1] = x307 * x511 * x558
result[5, 7, 2] = x340 * x366 * x514
result[5, 7, 3] = x529 * x561
result[5, 7, 4] = x12 * x307 * x553
result[5, 7, 5] = x562
result[5, 8, 0] = x30 * x555
result[5, 8, 1] = x22 * x288 * x563
result[5, 8, 2] = x564 * x565
result[5, 8, 3] = x513
result[5, 8, 4] = x394 * x510
result[5, 8, 5] = x226 * x383 * x561
result[5, 9, 0] = 0
result[5, 9, 1] = x564 * x566
result[5, 9, 2] = 0
result[5, 9, 3] = x350 * x45 * x567
result[5, 9, 4] = x403 * x5 * x568
result[5, 9, 5] = 0
result[5, 10, 0] = 0
result[5, 10, 1] = 0
result[5, 10, 2] = x189 * x537 * x538
result[5, 10, 3] = 0
result[5, 10, 4] = x539
result[5, 10, 5] = x485 * x540
result[5, 11, 0] = x328 * x569 * x72
result[5, 11, 1] = x4 * x559
result[5, 11, 2] = x20 * x328 * x547
result[5, 11, 3] = x523
result[5, 11, 4] = x327 * x367 * x570
result[5, 11, 5] = x324 * x373 * x571
result[5, 12, 0] = x230 * x551 * x572
result[5, 12, 1] = x307 * x475 * x573
result[5, 12, 2] = x573 * x575 * x76
result[5, 12, 3] = x188 * x313 * x576
result[5, 12, 4] = x11 * x501 * x557
result[5, 12, 5] = x395 * x574 * x577
result[5, 13, 0] = x399 * x569 * x62
result[5, 13, 1] = x419 * x543
result[5, 13, 2] = x420 * x568
result[5, 13, 3] = x294 * x398 * x571
result[5, 13, 4] = x295 * x403 * x570
result[5, 13, 5] = x578
result[5, 14, 0] = 0
result[5, 14, 1] = x579 * x580
result[5, 14, 2] = 0
result[5, 14, 3] = x422 * x581
result[5, 14, 4] = x582
result[5, 14, 5] = 0
result[6, 0, 0] = x601 * (1.570796326794897 * x1 * x2 * x34 * x37 * x39 - x583 * x599)
result[6, 0, 1] = x45 * x608 * (1.570796326794897 * x1 * x2 * x37 * x39 * x53 - x607)
result[6, 0, 2] = x58 * x608 * (1.570796326794897 * x1 * x2 * x37 * x39 * x53 - x607)
result[6, 0, 3] = (
1.0 * x601 * (x1 * x39 * x63 * x64 * x8 * x9 - x609 * x612 - x609 * x614 * x63)
)
result[6, 0, 4] = x608 * (
1.570796326794897 * x1 * x2 * x37 * x39 * x45 * x58 * x64 - x615 * x616
)
result[6, 0, 5] = (
1.0 * x601 * (x37 * x620 * x64 * x8 * x9 - x617 * x618 - x617 * x621)
)
result[6, 1, 0] = x624 * x76 * (1.570796326794897 * x1 * x2 * x33 * x37 * x39 - x622)
result[6, 1, 1] = (
1.0 * x627 * (x1 * x39 * x52 * x8 * x83 * x9 - x609 * x625 - x609 * x626)
)
result[6, 1, 2] = (
x58 * x627 * (1.570796326794897 * x1 * x2 * x37 * x39 * x52 * x76 - x606 * x628)
)
result[6, 1, 3] = (
1.0 * x624 * (x1 * x39 * x51 * x8 * x9 * x93 - x603 * x609 * x93 - x609 * x632)
)
result[6, 1, 4] = (
1.0 * x627 * (x1 * x39 * x51 * x58 * x8 * x83 * x9 - x633 * x96 - x634 * x635)
)
result[6, 1, 5] = (
1.0 * x624 * (x37 * x51 * x620 * x76 * x8 * x9 - x617 * x636 - x617 * x637)
)
result[6, 2, 0] = x101 * x624 * (1.570796326794897 * x1 * x2 * x33 * x37 * x39 - x622)
result[6, 2, 1] = x627 * (
1.570796326794897 * x1 * x101 * x2 * x37 * x39 * x45 * x52 - x615 * x638
)
result[6, 2, 2] = (
1.0 * x627 * (x1 * x37 * x370 * x52 * x8 * x9 - x639 * x640 - x639 * x641)
)
result[6, 2, 3] = (
1.0 * x624 * (x1 * x101 * x39 * x51 * x63 * x8 * x9 - x110 * x633 - x634 * x642)
)
result[6, 2, 4] = (
1.0 * x627 * (x1 * x37 * x370 * x45 * x51 * x8 * x9 - x639 * x643 - x639 * x644)
)
result[6, 2, 5] = (
1.0 * x624 * (-x319 * x634 + x37 * x51 * x649 * x8 * x9 - x645 * x646)
)
result[6, 3, 0] = (
1.0 * x652 * (x1 * x121 * x32 * x39 * x8 * x9 - x121 * x597 * x609 - x609 * x651)
)
result[6, 3, 1] = (
1.0 * x656 * (x1 * x127 * x24 * x39 * x8 * x9 - x127 * x590 * x609 - x609 * x655)
)
result[6, 3, 2] = (
1.0
* x656
* (x1 * x121 * x24 * x39 * x58 * x8 * x9 - x121 * x590 * x657 - x657 * x658)
)
result[6, 3, 3] = (
1.0 * x652 * (x1 * x136 * x39 * x47 * x8 * x9 - x137 * x659 - x609 * x663)
)
result[6, 3, 4] = (
1.0 * x656 * (x1 * x127 * x39 * x47 * x58 * x8 * x9 - x140 * x659 - x657 * x664)
)
result[6, 3, 5] = 1.0 * x652 * (x121 * x47 * x620 - x121 * x586 * x617 - x617 * x665)
result[6, 4, 0] = (
x656 * x76 * (1.570796326794897 * x1 * x101 * x2 * x32 * x37 * x39 - x606 * x666)
)
result[6, 4, 1] = (
1.0 * x670 * (x1 * x101 * x24 * x39 * x8 * x83 * x9 - x667 * x668 - x667 * x669)
)
result[6, 4, 2] = (
1.0 * x670 * (x1 * x24 * x37 * x370 * x76 * x8 * x9 - x639 * x671 - x639 * x672)
)
result[6, 4, 3] = (
1.0 * x656 * (x1 * x101 * x39 * x47 * x8 * x9 * x93 - x152 * x659 - x667 * x673)
)
result[6, 4, 4] = 1.0 * x670 * (x1 * x370 * x47 * x83 - x153 * x659 - x639 * x674)
result[6, 4, 5] = (
1.0 * x656 * (-x155 * x659 + x37 * x47 * x649 * x76 * x8 * x9 - x675 * x676)
)
result[6, 5, 0] = (
1.0 * x652 * (x32 * x37 * x679 * x8 * x9 - x677 * x678 - x677 * x680)
)
result[6, 5, 1] = (
1.0 * x656 * (x24 * x37 * x45 * x679 * x8 * x9 - x677 * x681 - x677 * x682)
)
result[6, 5, 2] = (
1.0 * x656 * (-x164 * x686 + x24 * x37 * x685 * x8 * x9 - x645 * x683)
)
result[6, 5, 3] = 1.0 * x652 * (-x166 * x659 + x47 * x63 * x679 - x677 * x687)
result[6, 5, 4] = (
1.0 * x656 * (-x167 * x659 + x37 * x45 * x47 * x685 * x8 * x9 - x688 * x689)
)
result[6, 5, 5] = (
1.0 * x652 * (-x173 * x659 + x37 * x47 * x692 * x8 * x9 - x686 * x693)
)
result[6, 6, 0] = (
1.0 * x624 * (x1 * x177 * x30 * x39 * x8 * x9 - x609 * x695 - x609 * x696)
)
result[6, 6, 1] = (
1.0 * x627 * (x1 * x181 * x22 * x39 * x8 * x9 - x181 * x429 * x609 - x609 * x700)
)
result[6, 6, 2] = (
1.0
* x627
* (x1 * x177 * x22 * x39 * x58 * x8 * x9 - x177 * x429 * x657 - x657 * x701)
)
result[6, 6, 3] = x5 * x624 * (1.570796326794897 * x1 * x187 * x2 * x39 * x7 - x704)
result[6, 6, 4] = x627 * (
1.570796326794897 * x1 * x181 * x2 * x39 * x5 * x58 * x7 - x705 * x706
)
result[6, 6, 5] = (
1.0 * x624 * (-x177 * x49 * x617 + x177 * x5 * x620 * x7 * x8 * x9 - x617 * x707)
)
result[6, 7, 0] = (
1.0
* x656
* (x1 * x101 * x121 * x30 * x39 * x8 * x9 - x121 * x595 * x667 - x667 * x708)
)
result[6, 7, 1] = (
1.0
* x670
* (x1 * x101 * x127 * x22 * x39 * x8 * x9 - x127 * x429 * x667 - x667 * x709)
)
result[6, 7, 2] = (
1.0 * x670 * (x1 * x121 * x22 * x370 - x121 * x429 * x639 - x639 * x710)
)
result[6, 7, 3] = x656 * (
1.570796326794897 * x1 * x101 * x136 * x2 * x39 * x5 * x7 - x705 * x711
)
result[6, 7, 4] = (
1.0
* x670
* (x1 * x127 * x370 * x5 * x7 * x8 * x9 - x127 * x49 * x639 - x639 * x712)
)
result[6, 7, 5] = (
1.0 * x656 * (-x121 * x49 * x675 + x121 * x5 * x649 * x7 * x8 * x9 - x713 * x714)
)
result[6, 8, 0] = (
1.0 * x656 * (x30 * x37 * x679 * x76 * x8 * x9 - x677 * x715 - x677 * x716)
)
result[6, 8, 1] = 1.0 * x670 * (x22 * x679 * x83 - x429 * x677 * x83 - x677 * x717)
result[6, 8, 2] = (
1.0 * x670 * (x22 * x37 * x685 * x76 * x8 * x9 - x340 * x688 - x429 * x688 * x81)
)
result[6, 8, 3] = (
1.0 * x656 * (-x49 * x677 * x93 + x5 * x679 * x7 * x8 * x9 * x93 - x677 * x718)
)
result[6, 8, 4] = (
1.0 * x670 * (x5 * x685 * x7 * x8 * x83 * x9 - x688 * x719 - x713 * x720)
)
result[6, 8, 5] = x656 * (-x207 * x724 + x692 * x722 * x76)
result[6, 9, 0] = (
1.0 * x624 * (-x214 * x686 + x30 * x37 * x726 * x8 * x9 - x645 * x725)
)
result[6, 9, 1] = (
1.0 * x627 * (x22 * x37 * x45 * x726 * x8 * x9 - x429 * x727 * x90 - x727 * x728)
)
result[6, 9, 2] = (
1.0 * x627 * (x22 * x37 * x731 * x8 * x9 - x220 * x429 * x645 - x221 * x686)
)
result[6, 9, 3] = (
1.0 * x624 * (-x49 * x63 * x727 + x5 * x63 * x7 * x726 * x8 * x9 - x713 * x732)
)
result[6, 9, 4] = x627 * (-x225 * x724 + x45 * x722 * x731)
result[6, 9, 5] = x5 * x624 * (x734 - x735)
result[6, 10, 0] = (
1.0 * x601 * (x1 * x230 * x231 * x39 * x8 * x9 - x609 * x736 - x609 * x738)
)
result[6, 10, 1] = x4 * x608 * (1.570796326794897 * x1 * x2 * x233 * x39 * x7 - x740)
result[6, 10, 2] = x608 * (
1.570796326794897 * x1 * x2 * x231 * x39 * x4 * x58 * x7 - x741 * x742
)
result[6, 10, 3] = x601 * (
1.570796326794897 * x1 * x2 * x236 * x39 * x7 - x583 * x743
)
result[6, 10, 4] = x58 * x608 * (1.570796326794897 * x1 * x2 * x233 * x39 * x7 - x740)
result[6, 10, 5] = (
1.0 * x601 * (-x16 * x231 * x617 + x231 * x620 * x7 * x8 * x9 - x617 * x744)
)
result[6, 11, 0] = (
1.0 * x624 * (x1 * x101 * x177 * x230 * x39 * x8 * x9 - x667 * x745 - x667 * x746)
)
result[6, 11, 1] = x627 * (
1.570796326794897 * x1 * x101 * x181 * x2 * x39 * x4 * x7 - x741 * x747
)
result[6, 11, 2] = (
1.0
* x627
* (x1 * x177 * x370 * x4 * x7 * x8 * x9 - x177 * x426 * x639 - x639 * x748)
)
result[6, 11, 3] = (
x101 * x624 * (1.570796326794897 * x1 * x187 * x2 * x39 * x7 - x704)
)
result[6, 11, 4] = (
1.0 * x627 * (x1 * x181 * x370 * x7 * x8 * x9 - x16 * x181 * x639 - x639 * x749)
)
result[6, 11, 5] = (
1.0 * x624 * (x177 * x649 * x7 * x8 * x9 - x250 * x752 - x750 * x751)
)
result[6, 12, 0] = 1.0 * x652 * (x121 * x230 * x679 - x677 * x753 - x677 * x754)
result[6, 12, 1] = (
1.0 * x656 * (x127 * x4 * x679 * x7 * x8 * x9 - x127 * x426 * x677 - x677 * x755)
)
result[6, 12, 2] = (
1.0 * x656 * (x121 * x4 * x685 * x7 * x8 * x9 - x478 * x688 - x688 * x756)
)
result[6, 12, 3] = (
1.0 * x652 * (-x136 * x16 * x677 + x136 * x679 * x7 * x8 * x9 - x677 * x757)
)
result[6, 12, 4] = (
1.0 * x656 * (x127 * x685 * x7 * x8 * x9 - x254 * x752 - x750 * x758)
)
result[6, 12, 5] = (
1.0 * x652 * (x121 * x692 * x7 * x8 * x9 - x256 * x752 - x750 * x759)
)
result[6, 13, 0] = (
1.0 * x624 * (x230 * x37 * x726 * x76 * x8 * x9 - x356 * x727 - x727 * x760)
)
result[6, 13, 1] = (
1.0 * x627 * (x4 * x7 * x726 * x8 * x83 * x9 - x727 * x761 - x727 * x762)
)
result[6, 13, 2] = x627 * (-x261 * x764 + x731 * x76 * x763)
result[6, 13, 3] = (
1.0 * x624 * (-x263 * x752 + x7 * x726 * x8 * x9 * x93 - x750 * x765)
)
result[6, 13, 4] = (
1.0 * x627 * (-x264 * x752 + x7 * x731 * x8 * x83 * x9 - x750 * x766)
)
result[6, 13, 5] = x624 * x76 * (x734 - x735)
result[6, 14, 0] = (
1.0 * x601 * (x230 * x37 * x768 * x8 * x9 - x268 * x686 - x645 * x767)
)
result[6, 14, 1] = x608 * (-x270 * x764 + x45 * x763 * x768)
result[6, 14, 2] = x4 * x608 * (x769 - x770)
result[6, 14, 3] = (
1.0 * x601 * (-x274 * x752 + x63 * x7 * x768 * x8 * x9 - x750 * x771)
)
result[6, 14, 4] = x45 * x608 * (x769 - x770)
result[6, 14, 5] = -x601 * (
x277 * x723
- x721
* (
x1
* (
2.0 * x409
+ 2.0 * x410
+ 3.0 * x690
+ 3.0 * x691
+ 2.0 * x729
+ 2.0 * x730
)
+ x101 * x733
)
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x484
result[7, 0, 3] = 0
result[7, 0, 4] = x454 * x538
result[7, 0, 5] = x485 * x487
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x77 * x772
result[7, 1, 3] = 0
result[7, 1, 4] = x363 * x494 * x84
result[7, 1, 5] = x364 * x497
result[7, 2, 0] = x489
result[7, 2, 1] = x46 * x772
result[7, 2, 2] = x367 * x450 * x773
result[7, 2, 3] = x368 * x495
result[7, 2, 4] = x457 * x547
result[7, 2, 5] = x373 * x449 * x774
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x518 * x776
result[7, 3, 3] = 0
result[7, 3, 4] = x127 * x778
result[7, 3, 5] = x121 * x506 * x58 * x779
result[7, 4, 0] = x443 * x560 * x77
result[7, 4, 1] = x363 * x436 * x511
result[7, 4, 2] = x461 * x553
result[7, 4, 3] = x778 * x93
result[7, 4, 4] = x378 * x515
result[7, 4, 5] = x562
result[7, 5, 0] = x38 * x443 * x576
result[7, 5, 1] = 1.154700538379251 * x300 * x436
result[7, 5, 2] = x518 * x557 * x60
result[7, 5, 3] = x556 * x63 * x779
result[7, 5, 4] = x45 * x503 * x575
result[7, 5, 5] = x1 * x383 * x462 * x577
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = x384 * x521
result[7, 6, 3] = 0
result[7, 6, 4] = x780
result[7, 6, 5] = x58 * x781
result[7, 7, 0] = x531 * x776
result[7, 7, 1] = x390 * x528
result[7, 7, 2] = x467 * x553
result[7, 7, 3] = x136 * x189 * x534
result[7, 7, 4] = x468 * x553
result[7, 7, 5] = x373 * x775 * x782
result[7, 8, 0] = x527
result[7, 8, 1] = x470 * x563
result[7, 8, 2] = x380 * x528 * x81
result[7, 8, 3] = x783 * x93
result[7, 8, 4] = x565 * x784
result[7, 8, 5] = x226 * x395 * x560
result[7, 9, 0] = x398 * x432 * x774
result[7, 9, 1] = x400 * x521
result[7, 9, 2] = x403 * x463 * x773
result[7, 9, 3] = x399 * x473 * x488
result[7, 9, 4] = x405 * x568
result[7, 9, 5] = x578
result[7, 10, 0] = 0
result[7, 10, 1] = 0
result[7, 10, 2] = x231 * x483 * x777
result[7, 10, 3] = 0
result[7, 10, 4] = 0
result[7, 10, 5] = 0
result[7, 11, 0] = x4 * x781
result[7, 11, 1] = x780
result[7, 11, 2] = x477 * x547
result[7, 11, 3] = 0
result[7, 11, 4] = 0
result[7, 11, 5] = 0
result[7, 12, 0] = x121 * x188 * x542 * x572
result[7, 12, 1] = x127 * x783
result[7, 12, 2] = x121 * x557 * x782
result[7, 12, 3] = 0
result[7, 12, 4] = 0
result[7, 12, 5] = 0
result[7, 13, 0] = x4 * x480 * x567
result[7, 13, 1] = x566 * x784
result[7, 13, 2] = x403 * x480 * x491
result[7, 13, 3] = 0
result[7, 13, 4] = 0
result[7, 13, 5] = 0
result[7, 14, 0] = x579 * x581
result[7, 14, 1] = x422 * x580
result[7, 14, 2] = x582
result[7, 14, 3] = 0
result[7, 14, 4] = 0
result[7, 14, 5] = 0
result[8, 0, 0] = x601 * (-x1 * x34 * x786 + x599 * x785)
result[8, 0, 1] = x45 * x608 * (x787 - x788)
result[8, 0, 2] = x58 * x608 * (x787 - x788)
result[8, 0, 3] = x601 * (
0.8660254037844386 * x39 * x614 * x63 * x8 * x9 - x612 * x789
)
result[8, 0, 4] = x608 * x790 * (-x284 + x616)
result[8, 0, 5] = x601 * x791 * (x618 - x621)
result[8, 1, 0] = x624 * (-x285 * x793 + x76 * x792)
result[8, 1, 1] = x627 * x789 * (x625 - x626)
result[8, 1, 2] = x627 * (-x290 * x793 + x58 * x628 * x786)
result[8, 1, 3] = x624 * (
0.8660254037844386 * x39 * x603 * x8 * x9 * x93 - x632 * x789
)
result[8, 1, 4] = x627 * (0.8660254037844386 * x603 * x96 - x635 * x794)
result[8, 1, 5] = x624 * x791 * (x636 - x637)
result[8, 2, 0] = x101 * x624 * (-x285 * x786 + x792)
result[8, 2, 1] = x627 * x790 * (-x298 + x638)
result[8, 2, 2] = x627 * x795 * (x640 - x641)
result[8, 2, 3] = x624 * (
0.8660254037844386 * x101 * x39 * x603 * x63 * x8 * x9 - x642 * x794
)
result[8, 2, 4] = x627 * x795 * (x643 - x644)
result[8, 2, 5] = x624 * (-x319 * x794 + x646 * x796)
result[8, 3, 0] = x652 * (
0.8660254037844386 * x121 * x39 * x597 * x8 * x9 - x651 * x789
)
result[8, 3, 1] = x656 * (
0.8660254037844386 * x127 * x39 * x590 * x8 * x9 - x655 * x789
)
result[8, 3, 2] = x656 * (
0.8660254037844386 * x121 * x39 * x58 * x590 * x8 * x9 - x658 * x797
)
result[8, 3, 3] = x652 * (x137 * x798 - x663 * x789)
result[8, 3, 4] = x656 * (x140 * x798 - x664 * x797)
result[8, 3, 5] = x652 * (0.8660254037844386 * x121 * x586 * x73 - x665 * x791)
result[8, 4, 0] = x656 * x793 * (-x315 + x666)
result[8, 4, 1] = x670 * x799 * (x668 - x669)
result[8, 4, 2] = x670 * x795 * (x671 - x672)
result[8, 4, 3] = x656 * (x152 * x798 - x673 * x799)
result[8, 4, 4] = x670 * (x153 * x798 - x674 * x795)
result[8, 4, 5] = -x656 * (0.8660254037844386 * x116 * x676 - x155 * x798)
result[8, 5, 0] = x652 * x800 * (x678 - x680)
result[8, 5, 1] = x656 * x800 * (x681 - x682)
result[8, 5, 2] = x656 * (-x164 * x801 + x683 * x796)
result[8, 5, 3] = x652 * (0.8660254037844386 * x158 * x586 * x63 - x687 * x800)
result[8, 5, 4] = x656 * (x167 * x798 - x689 * x802)
result[8, 5, 5] = x652 * (x173 * x798 - x693 * x801)
result[8, 6, 0] = x624 * x789 * (-x695 + x696)
result[8, 6, 1] = x627 * (
0.8660254037844386 * x1 * x181 * x39 * x428 * x8 * x9 - x700 * x789
)
result[8, 6, 2] = x627 * (
0.8660254037844386 * x1 * x177 * x39 * x428 * x58 * x8 * x9 - x701 * x797
)
result[8, 6, 3] = x5 * x624 * (2.720699046351327 * x1 * x187 * x2 * x39 * x7 - x804)
result[8, 6, 4] = x627 * (
2.720699046351327 * x1 * x181 * x2 * x39 * x5 * x58 * x7 - x706 * x805
)
result[8, 6, 5] = x624 * (
0.8660254037844386 * x1 * x177 * x5 * x7 * x73 * x8 * x9 - x707 * x791
)
result[8, 7, 0] = x656 * (
0.8660254037844386 * x101 * x121 * x39 * x595 * x8 * x9 - x708 * x799
)
result[8, 7, 1] = x670 * (
0.8660254037844386 * x1 * x101 * x127 * x39 * x428 * x8 * x9 - x709 * x799
)
result[8, 7, 2] = x670 * (0.8660254037844386 * x1 * x106 * x121 * x428 - x710 * x795)
result[8, 7, 3] = x656 * (
2.720699046351327 * x1 * x101 * x136 * x2 * x39 * x5 * x7 - x711 * x805
)
result[8, 7, 4] = x670 * (
0.8660254037844386 * x1 * x106 * x127 * x5 * x7 * x8 * x9 - x712 * x795
)
result[8, 7, 5] = x656 * (
0.8660254037844386 * x1 * x116 * x121 * x5 * x7 * x8 * x9 - x714 * x806
)
result[8, 8, 0] = x656 * x800 * (x715 - x716)
result[8, 8, 1] = x670 * (0.8660254037844386 * x1 * x158 * x428 * x83 - x717 * x800)
result[8, 8, 2] = x670 * (
0.8660254037844386 * x1 * x163 * x37 * x428 * x76 * x8 * x9 - x340 * x802
)
result[8, 8, 3] = x656 * (
0.8660254037844386 * x1 * x158 * x5 * x7 * x8 * x9 * x93 - x718 * x800
)
result[8, 8, 4] = x670 * (x719 * x802 - x720 * x806)
result[8, 8, 5] = 0
result[8, 9, 0] = x624 * (-x214 * x801 + x725 * x796)
result[8, 9, 1] = x627 * (
0.8660254037844386 * x1 * x213 * x37 * x428 * x45 * x8 * x9 - x728 * x807
)
result[8, 9, 2] = x627 * (
0.8660254037844386 * x1 * x220 * x37 * x428 * x8 * x9 - x221 * x801
)
result[8, 9, 3] = x624 * (
0.8660254037844386 * x1 * x213 * x5 * x63 * x7 * x8 * x9 - x732 * x806
)
result[8, 9, 4] = 0
result[8, 9, 5] = 0
result[8, 10, 0] = x601 * x789 * (x736 - x738)
result[8, 10, 1] = x4 * x608 * (2.720699046351327 * x1 * x2 * x233 * x39 * x7 - x808)
result[8, 10, 2] = x608 * (
2.720699046351327 * x1 * x2 * x231 * x39 * x4 * x58 * x7 - x742 * x809
)
result[8, 10, 3] = x601 * (
2.720699046351327 * x1 * x2 * x236 * x39 * x7 - x743 * x785
)
result[8, 10, 4] = x58 * x608 * (2.720699046351327 * x1 * x2 * x233 * x39 * x7 - x808)
result[8, 10, 5] = x601 * (
0.8660254037844386 * x1 * x231 * x7 * x73 * x8 * x9 - x744 * x791
)
result[8, 11, 0] = x624 * x799 * (x745 - x746)
result[8, 11, 1] = x627 * (
2.720699046351327 * x1 * x101 * x181 * x2 * x39 * x4 * x7 - x747 * x809
)
result[8, 11, 2] = x627 * (
0.8660254037844386 * x1 * x106 * x177 * x4 * x7 * x8 * x9 - x748 * x795
)
result[8, 11, 3] = (
x101 * x624 * (2.720699046351327 * x1 * x187 * x2 * x39 * x7 - x804)
)
result[8, 11, 4] = x627 * (
0.8660254037844386 * x1 * x106 * x181 * x7 * x8 * x9 - x749 * x795
)
result[8, 11, 5] = x624 * (
0.8660254037844386 * x1 * x116 * x177 * x7 * x8 * x9 - x751 * x810
)
result[8, 12, 0] = x652 * x800 * (x753 - x754)
result[8, 12, 1] = x656 * (
0.8660254037844386 * x1 * x127 * x158 * x4 * x7 * x8 * x9 - x755 * x800
)
result[8, 12, 2] = x656 * (
0.8660254037844386 * x1 * x121 * x163 * x4 * x7 * x8 * x9 - x756 * x802
)
result[8, 12, 3] = x652 * (
0.8660254037844386 * x1 * x136 * x158 * x7 * x8 * x9 - x757 * x800
)
result[8, 12, 4] = x656 * (
0.8660254037844386 * x1 * x127 * x163 * x7 * x8 * x9 - x758 * x810
)
result[8, 12, 5] = x652 * (
0.8660254037844386 * x1 * x121 * x172 * x7 * x8 * x9 - x759 * x810
)
result[8, 13, 0] = x624 * x807 * (-x356 + x760)
result[8, 13, 1] = x627 * x807 * (x761 - x762)
result[8, 13, 2] = 0
result[8, 13, 3] = x624 * (
0.8660254037844386 * x1 * x213 * x7 * x8 * x9 * x93 - x765 * x810
)
result[8, 13, 4] = x627 * (0.8660254037844386 * x16 * x264 - x766 * x810)
result[8, 13, 5] = 0
result[8, 14, 0] = x601 * (-x268 * x801 + x767 * x796)
result[8, 14, 1] = 0
result[8, 14, 2] = 0
result[8, 14, 3] = x601 * (
0.8660254037844386 * x1 * x267 * x63 * x7 * x8 * x9 - x771 * x810
)
result[8, 14, 4] = 0
result[8, 14, 5] = 0
return result
[docs]
def multipole3d_sph_43(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (gf) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 15, 10), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - A[0]
x5 = -x3 - B[0]
x6 = ax * bx * x2
x7 = numpy.exp(-x6 * (A[0] - B[0]) ** 2)
x8 = 1.772453850905516
x9 = numpy.sqrt(x2)
x10 = x8 * x9
x11 = x10 * x7
x12 = x11 * x4
x13 = x12 * x5
x14 = 2.0 * x13
x15 = x11 * x5**2
x16 = x1 * x11
x17 = 3.0 * x16
x18 = x15 + x17
x19 = x1 * (x14 + x18)
x20 = x11 * x5
x21 = x1 * (x12 + x20)
x22 = x13 + x16
x23 = x22 * x5
x24 = x21 + x23
x25 = x24 * x4
x26 = x19 + x25
x27 = x26 * x4
x28 = x26 * x5
x29 = x22 * x4
x30 = 2.0 * x1 * (2.0 * x21 + x23 + x29)
x31 = x24 * x5
x32 = 3.0 * x25
x33 = x28 + x30
x34 = x1 * (5.0 * x19 + 2.0 * x31 + x32) + x33 * x4
x35 = 3.0 * x1 * (x27 + x28 + 2.0 * x30) + x34 * x4
x36 = numpy.exp(-x6 * (A[2] - B[2]) ** 2)
x37 = numpy.exp(-x6 * (A[1] - B[1]) ** 2)
x38 = 3.141592653589793 * x2 * x37
x39 = x36 * x38
x40 = 2.645751311064591
x41 = da * db
x42 = 0.009523809523809525 * x41
x43 = x40 * x42
x44 = x39 * x43
x45 = -x2 * (ax * A[1] + bx * B[1])
x46 = -x45 - B[1]
x47 = 5.916079783099616
x48 = x42 * x47
x49 = x46 * x48
x50 = x4**2
x51 = x11 * x50
x52 = x17 + x51
x53 = x1 * (x14 + x52)
x54 = x21 + x29
x55 = x4 * x54
x56 = x27 + x30
x57 = x1 * (3.0 * x19 + x32 + 2.0 * x53 + 2.0 * x55) + x4 * x56
x58 = x39 * x57
x59 = -x2 * (ax * A[2] + bx * B[2])
x60 = -x59 - B[2]
x61 = x48 * x60
x62 = x16 + x51
x63 = x4 * x62
x64 = x1 * x12
x65 = 2.0 * x64
x66 = x63 + x65
x67 = x53 + x55
x68 = x1 * (3.0 * x21 + 3.0 * x29 + x66) + x4 * x67
x69 = x10 * x36
x70 = x68 * x69
x71 = x10 * x37
x72 = x46**2 * x71
x73 = x1 * x71
x74 = x72 + x73
x75 = x48 * x74
x76 = x60 * x68
x77 = x39 * x46
x78 = 10.2469507659596
x79 = x42 * x78
x80 = x77 * x79
x81 = x60**2 * x69
x82 = x1 * x69
x83 = x81 + x82
x84 = x48 * x83
x85 = x46 * x73
x86 = 2.0 * x85
x87 = x46 * x74 + x86
x88 = x1 * (x17 + 3.0 * x51) + x4 * x66
x89 = x43 * x69
x90 = x60 * x69
x91 = x88 * x90
x92 = x46 * x71
x93 = x60 * x82
x94 = 2.0 * x93
x95 = x60 * x83 + x94
x96 = x43 * x95
x97 = x71 * x88
x98 = -x45 - A[1]
x99 = 0.06666666666666667 * x41
x100 = x98 * x99
x101 = x34 * x39
x102 = x71 * x98
x103 = x102 * x46
x104 = x103 + x73
x105 = 2.23606797749979
x106 = x105 * x41
x107 = 0.06666666666666667 * x106
x108 = x107 * x69
x109 = x107 * x60
x110 = x39 * x98
x111 = x109 * x110
x112 = x1 * (x102 + x92)
x113 = x104 * x46
x114 = x112 + x113
x115 = x104 * x67
x116 = 3.872983346207417
x117 = x116 * x41
x118 = 0.06666666666666667 * x117
x119 = x118 * x90
x120 = x107 * x83
x121 = 2.0 * x103
x122 = 3.0 * x73
x123 = x122 + x72
x124 = x1 * (x121 + x123)
x125 = x114 * x46
x126 = x124 + x125
x127 = x126 * x69
x128 = x66 * x99
x129 = x114 * x90
x130 = x107 * x66
x131 = x104 * x66
x132 = x102 * x95
x133 = -x59 - A[2]
x134 = x133 * x99
x135 = x107 * x77
x136 = x56 * x71
x137 = x133 * x69
x138 = x137 * x60
x139 = x138 + x82
x140 = x107 * x139
x141 = x107 * x74
x142 = x137 * x67
x143 = x67 * x92
x144 = x118 * x139
x145 = x1 * (x137 + x90)
x146 = x139 * x60
x147 = x145 + x146
x148 = x107 * x71
x149 = x148 * x67
x150 = x137 * x87
x151 = x139 * x74
x152 = x107 * x151
x153 = x147 * x92
x154 = 2.0 * x138
x155 = 3.0 * x82
x156 = x155 + x81
x157 = x1 * (x154 + x156)
x158 = x147 * x60
x159 = x157 + x158
x160 = x159 * x71
x161 = x33 * x69
x162 = x98**2
x163 = x162 * x71
x164 = x163 + x73
x165 = 0.02222222222222222 * x117
x166 = x164 * x165
x167 = x104 * x98
x168 = x112 + x167
x169 = 1.732050807568877
x170 = x169 * x41
x171 = 0.1111111111111111 * x170
x172 = x171 * x69
x173 = x26 * x90
x174 = x164 * x171
x175 = x114 * x98
x176 = x124 + x175
x177 = 0.3333333333333333 * x41
x178 = x177 * x54
x179 = x178 * x90
x180 = x164 * x54
x181 = x171 * x83
x182 = 2.0 * x1 * (2.0 * x112 + x113 + x167)
x183 = x176 * x46
x184 = x182 + x183
x185 = x184 * x69
x186 = x165 * x62
x187 = x176 * x90
x188 = x171 * x62
x189 = x168 * x62
x190 = x164 * x95
x191 = x107 * x133
x192 = x110 * x33
x193 = x104 * x26
x194 = x137 * x177
x195 = x102 * x26
x196 = x139 * x177
x197 = x137 * x178
x198 = x104 * x54
x199 = 0.3333333333333333 * x170
x200 = x139 * x199
x201 = x147 * x178
x202 = x126 * x137
x203 = x107 * x62
x204 = x177 * x62
x205 = x114 * x139
x206 = x104 * x147
x207 = x102 * x159
x208 = x133**2
x209 = x208 * x69
x210 = x209 + x82
x211 = x165 * x210
x212 = x171 * x210
x213 = x133 * x139
x214 = x145 + x213
x215 = x171 * x71
x216 = x215 * x26
x217 = x54 * x74
x218 = x178 * x214
x219 = x133 * x147
x220 = x157 + x219
x221 = x220 * x54
x222 = x210 * x87
x223 = x214 * x62
x224 = x171 * x74
x225 = x220 * x92
x226 = 2.0 * x1 * (2.0 * x145 + x146 + x213)
x227 = x220 * x60
x228 = x226 + x227
x229 = x228 * x71
x230 = x164 * x98
x231 = x73 * x98
x232 = 2.0 * x231
x233 = x230 + x232
x234 = x19 + x31
x235 = x69 * x99
x236 = x122 + x163
x237 = x1 * (x121 + x236)
x238 = x168 * x98
x239 = x237 + x238
x240 = x107 * x24
x241 = x240 * x90
x242 = x176 * x98
x243 = x182 + x242
x244 = x108 * x22
x245 = x119 * x22
x246 = x22 * x233
x247 = x4 * x99
x248 = 3.0 * x175
x249 = x1 * (5.0 * x124 + 2.0 * x125 + x248) + x184 * x98
x250 = 3.141592653589793 * x2 * x7
x251 = x250 * x36
x252 = x249 * x251
x253 = x251 * x4
x254 = x109 * x253
x255 = x233 * x99
x256 = x12 * x95
x257 = x137 * x234
x258 = x107 * x164
x259 = x194 * x24
x260 = x164 * x177 * x24
x261 = x194 * x22
x262 = x200 * x22
x263 = x147 * x22
x264 = x164 * x177
x265 = x191 * x253
x266 = x12 * x176
x267 = x12 * x177
x268 = x147 * x267
x269 = x12 * x159
x270 = x107 * x210
x271 = x104 * x24
x272 = x177 * x210
x273 = x102 * x177
x274 = x214 * x24
x275 = x114 * x22
x276 = x199 * x22
x277 = x214 * x276
x278 = x22 * x220
x279 = x214 * x267
x280 = x104 * x220
x281 = x228 * x98
x282 = x38 * x7
x283 = x107 * x282
x284 = x283 * x4
x285 = x133 * x210
x286 = x133 * x82
x287 = 2.0 * x286
x288 = x285 + x287
x289 = x288 * x99
x290 = x234 * x71
x291 = x240 * x288
x292 = x155 + x209
x293 = x1 * (x154 + x292)
x294 = x133 * x214
x295 = x293 + x294
x296 = x24 * x295
x297 = x22 * x288
x298 = x118 * x295
x299 = x22 * x298
x300 = x133 * x220
x301 = x226 + x300
x302 = x22 * x301
x303 = x12 * x289
x304 = x12 * x295
x305 = x301 * x46
x306 = 3.0 * x219
x307 = x1 * (5.0 * x157 + 2.0 * x158 + x306) + x133 * x228
x308 = x282 * x307
x309 = x15 + x16
x310 = x1 * x20
x311 = 2.0 * x310
x312 = x309 * x5 + x311
x313 = x1 * (x122 + 3.0 * x163) + x233 * x98
x314 = x1 * (3.0 * x112 + 3.0 * x167 + x233) + x239 * x98
x315 = x314 * x69
x316 = x309 * x48
x317 = x313 * x90
x318 = x1 * (3.0 * x124 + 2.0 * x237 + 2.0 * x238 + x248) + x243 * x98
x319 = x251 * x318
x320 = x48 * x5
x321 = x251 * x5
x322 = x314 * x321
x323 = x60 * x79
x324 = 3.0 * x1 * (2.0 * x182 + x183 + x242) + x249 * x98
x325 = x251 * x43
x326 = x11 * x96
x327 = x137 * x312
x328 = x107 * x309
x329 = x137 * x239
x330 = x139 * x233
x331 = x191 * x321
x332 = x20 * x239
x333 = x107 * x20
x334 = x147 * x333
x335 = x11 * x243
x336 = x107 * x11
x337 = x147 * x336
x338 = x159 * x233
x339 = x11 * x99
x340 = x164 * x312
x341 = x168 * x309
x342 = x164 * x214
x343 = x171 * x309
x344 = x168 * x177
x345 = x20 * x214
x346 = x20 * x220
x347 = x11 * x171
x348 = x214 * x347
x349 = x168 * x220
x350 = x11 * x228
x351 = x289 * x312
x352 = x104 * x288
x353 = x102 * x295
x354 = x288 * x333
x355 = x20 * x298
x356 = x301 * x98
x357 = x283 * x5
x358 = x11 * x289
x359 = x114 * x295
x360 = x104 * x301
x361 = x1 * (x155 + 3.0 * x209) + x133 * x288
x362 = x312 * x361
x363 = x43 * x71
x364 = x361 * x92
x365 = x1 * (3.0 * x145 + 3.0 * x213 + x288) + x133 * x295
x366 = x365 * x71
x367 = x20 * x361
x368 = x365 * x46
x369 = x282 * x368
x370 = x5 * x79
x371 = x1 * (3.0 * x157 + 2.0 * x293 + 2.0 * x294 + x306) + x133 * x301
x372 = x282 * x371
x373 = x361 * x87
x374 = x11 * x43
x375 = x11 * x365
x376 = 3.0 * x1 * (2.0 * x226 + x227 + x300) + x133 * x307
x377 = x282 * x43
x378 = x1 * x57
x379 = x378 * x39 * x48
x380 = x1 * x68
x381 = x41 * x47
x382 = 0.01904761904761905 * x381
x383 = x382 * x77
x384 = x1 * x76
x385 = x384 * x39
x386 = x1 * x72
x387 = x1 * x123 + 2.0 * x386
x388 = x1 * x60
x389 = x383 * x388 * x88
x390 = x73 * x88
x391 = x1 * x34
x392 = x39 * x391 * x99
x393 = x231 + x85
x394 = x1 * x56
x395 = x394 * x60
x396 = x107 * x39
x397 = x1 * (x103 + x122)
x398 = x393 * x46
x399 = x397 + x398
x400 = x393 * x67
x401 = x67 * x73
x402 = x1 * (x114 + x232 + 4.0 * x85)
x403 = x399 * x46
x404 = x402 + x403
x405 = x404 * x69
x406 = x399 * x90
x407 = x393 * x66
x408 = x73 * x95
x409 = x133 * x394
x410 = x1 * x133
x411 = 0.1333333333333333 * x106
x412 = x410 * x411
x413 = x137 * x387
x414 = x66 * x85
x415 = x147 * x73
x416 = 0.04444444444444445 * x117
x417 = x1 * x192
x418 = x393 * x98
x419 = x397 + x418
x420 = x110 * x388
x421 = 0.2222222222222222 * x170
x422 = x26 * x421
x423 = x399 * x98
x424 = x402 + x423
x425 = x231 * x54
x426 = x421 * x83
x427 = 2.0 * x418
x428 = 4.0 * x397
x429 = 2.0 * x398 + x428
x430 = x1 * (x176 + x427 + x429)
x431 = x424 * x46
x432 = x430 + x431
x433 = x419 * x62
x434 = x416 * x62
x435 = x33 * x410
x436 = x26 * x393
x437 = x26 * x73
x438 = x393 * x54
x439 = x139 * x399
x440 = x147 * x393
x441 = x54 * x85
x442 = x210 * x421
x443 = x210 * x387
x444 = x1 * x236
x445 = x162 * x73
x446 = x444 + 2.0 * x445
x447 = x1 * (x168 + 4.0 * x231 + x86)
x448 = x419 * x98
x449 = x447 + x448
x450 = x424 * x98
x451 = x430 + x450
x452 = x22 * x446
x453 = 3.0 * x423
x454 = x1 * (x184 + 5.0 * x402 + 2.0 * x403 + x453)
x455 = x432 * x98
x456 = x454 + x455
x457 = x251 * x456
x458 = x446 * x99
x459 = x110 * x234 * x412
x460 = x231 * x24
x461 = 0.6666666666666666 * x41
x462 = x12 * x424
x463 = x1 * x282
x464 = x463 * x98
x465 = x4 * x411
x466 = x159 * x464 * x465
x467 = x234 * x73
x468 = x24 * x393
x469 = x177 * x73
x470 = x22 * x399
x471 = x220 * x393
x472 = x1 * x284
x473 = x46 * x463
x474 = x1 * (x230 + 8.0 * x231) + x446 * x98
x475 = 3.0 * x397
x476 = x1 * (x239 + 3.0 * x418 + x446 + x475) + x449 * x98
x477 = 2.0 * x447 + 2.0 * x448
x478 = x251 * (x1 * (x243 + 3.0 * x402 + x453 + x477) + x451 * x98)
x479 = x321 * x476
x480 = x139 * x446
x481 = x20 * x449
x482 = x11 * x451
x483 = x231 * x312
x484 = x309 * x419
x485 = x214 * x309
x486 = x220 * x421
x487 = x464 * x5
x488 = x416 * x463
x489 = x288 * x393
x490 = x295 * x73
x491 = x1 * x308 * x99
x492 = x382 * x5
x493 = x361 * x473 * x492
x494 = x365 * x463
x495 = x1 * x382
x496 = x1 * x372 * x48
x497 = x1 * x81
x498 = x1 * x156 + 2.0 * x497
x499 = x114 * x82
x500 = x411 * x93
x501 = x102 * x498
x502 = x286 + x93
x503 = x107 * x502
x504 = x118 * x502
x505 = x138 + x155
x506 = x1 * x505
x507 = x502 * x60
x508 = x506 + x507
x509 = x82 * x87
x510 = x508 * x92
x511 = x1 * (x147 + x287 + 4.0 * x93)
x512 = x508 * x60
x513 = x511 + x512
x514 = x513 * x71
x515 = x178 * x82
x516 = x421 * x93
x517 = x164 * x498
x518 = x177 * x82
x519 = x177 * x502
x520 = x102 * x508
x521 = x114 * x502
x522 = x104 * x508
x523 = x410 * x77
x524 = x133 * x502
x525 = x506 + x524
x526 = x286 * x421
x527 = x525 * x92
x528 = x133 * x508
x529 = x511 + x528
x530 = x525 * x62
x531 = 2.0 * x524
x532 = 4.0 * x506
x533 = 2.0 * x507 + x532
x534 = x1 * (x220 + x531 + x533)
x535 = x529 * x60
x536 = x534 + x535
x537 = x24 * x82
x538 = x107 * x233
x539 = x22 * x82
x540 = x1 * x253
x541 = x107 * x540
x542 = x253 * x388
x543 = x12 * x498
x544 = x168 * x502
x545 = x22 * x508
x546 = x168 * x508
x547 = x286 * x461
x548 = x24 * x525
x549 = x104 * x525
x550 = x22 * x529
x551 = x126 * x253 * x412
x552 = x114 * x525
x553 = x104 * x529
x554 = x536 * x98
x555 = x1 * x292
x556 = x208 * x82
x557 = x555 + 2.0 * x556
x558 = x557 * x99
x559 = x557 * x92
x560 = x1 * (x214 + 4.0 * x286 + x94)
x561 = x133 * x525
x562 = x560 + x561
x563 = x22 * x557
x564 = x118 * x562
x565 = x133 * x529
x566 = x534 + x565
x567 = x46 * x566
x568 = 3.0 * x528
x569 = x1 * (x228 + 5.0 * x511 + 2.0 * x512 + x568)
x570 = x133 * x536
x571 = x569 + x570
x572 = x282 * x571
x573 = x1 * x79
x574 = x321 * x388
x575 = x313 * x382 * x574
x576 = x1 * x251 * x318 * x48
x577 = x251 * x314 * x388
x578 = x312 * x82
x579 = x239 * x82
x580 = x233 * x502
x581 = x1 * x321
x582 = x233 * x508
x583 = x1 * x249 * x251 * x99
x584 = x164 * x525
x585 = x176 * x421
x586 = x321 * x410
x587 = x20 * x525
x588 = x184 * x251 * x410
x589 = x104 * x557
x590 = x566 * x98
x591 = x1 * (x285 + 8.0 * x286) + x133 * x557
x592 = 3.0 * x506
x593 = x1 * (x295 + 3.0 * x524 + x557 + x592) + x133 * x562
x594 = x46 * x593
x595 = 2.0 * x560 + 2.0 * x561
x596 = x282 * (x1 * (x301 + 3.0 * x511 + x568 + x595) + x133 * x566)
x597 = x1 * (x24 + 4.0 * x310 + x65)
x598 = x13 + x17
x599 = x1 * x598
x600 = x310 + x64
x601 = x5 * x600
x602 = x599 + x601
x603 = x4 * x602
x604 = x597 + x603
x605 = x4 * x604
x606 = x5 * x604
x607 = x4 * x600
x608 = 2.0 * x607
x609 = 4.0 * x599
x610 = 2.0 * x601 + x609
x611 = x1 * (x26 + x608 + x610)
x612 = x5 * x602
x613 = 3.0 * x603
x614 = x1 * (x33 + 5.0 * x597 + 2.0 * x612 + x613)
x615 = x606 + x611
x616 = x4 * x615
x617 = x614 + x616
x618 = x1 * (x311 + x54 + 4.0 * x64)
x619 = x599 + x607
x620 = x4 * x619
x621 = 2.0 * x618 + 2.0 * x620
x622 = x605 + x611
x623 = x39 * (x1 * (x56 + 3.0 * x597 + x613 + x621) + x4 * x622)
x624 = 3.0 * x599
x625 = x1 * x52
x626 = x16 * x50
x627 = x625 + 2.0 * x626
x628 = x618 + x620
x629 = x1 * (3.0 * x607 + x624 + x627 + x67) + x4 * x628
x630 = x1 * (x63 + 8.0 * x64) + x4 * x627
x631 = x630 * x71
x632 = x39 * x617
x633 = x104 * x628
x634 = x627 * x99
x635 = x107 * x627
x636 = x104 * x83
x637 = x622 * x71
x638 = x628 * x92
x639 = x619 * x90
x640 = x164 * x619
x641 = x168 * x64
x642 = x416 * x64
x643 = x110 * x615
x644 = x104 * x604
x645 = x102 * x604
x646 = x114 * x619
x647 = x104 * x619
x648 = x147 * x619
x649 = x461 * x64
x650 = x619 * x74
x651 = x177 * x214
x652 = x214 * x74
x653 = x4 * x473
x654 = x597 + x612
x655 = x602 * x90
x656 = x233 * x600
x657 = x107 * x251
x658 = x16 * x239
x659 = x16 * x95
x660 = x168 * x602
x661 = x139 * x602
x662 = x176 * x600
x663 = x147 * x600
x664 = x16 * x176
x665 = x16 * x344
x666 = x159 * x164
x667 = x104 * x602
x668 = x214 * x602
x669 = x114 * x600
x670 = x214 * x600
x671 = x220 * x600
x672 = x126 * x16
x673 = x114 * x16
x674 = x1 * x283
x675 = x654 * x71
x676 = x107 * x288
x677 = x288 * x600
x678 = x600 * x92
x679 = x16 * x87
x680 = x16 * x295
x681 = x1 * x15
x682 = x1 * x18 + 2.0 * x681
x683 = x16 * x313
x684 = x137 * x682
x685 = x310 * x411
x686 = x147 * x16
x687 = x164 * x682
x688 = x168 * x310
x689 = x102 * x682
x690 = x104 * x16
x691 = 0.01649572197684645 * x41
x692 = x47 * x691
x693 = x1 * x692
x694 = x623 * x693
x695 = 0.0329914439536929 * x381
x696 = x1 * x77
x697 = x629 * x696
x698 = x691 * x78
x699 = x388 * x39
x700 = x629 * x699
x701 = x40 * x691
x702 = x69 * x701
x703 = x388 * x630 * x695 * x77
x704 = x692 * x83
x705 = 0.1154700538379251 * x41
x706 = x1 * x705
x707 = x632 * x706
x708 = 0.1154700538379251 * x106
x709 = x69 * x708
x710 = x622 * x708
x711 = 0.1154700538379251 * x117
x712 = x628 * x711
x713 = x708 * x83
x714 = x627 * x705
x715 = x627 * x708
x716 = x39 * x410
x717 = 0.2309401076758503 * x106
x718 = x628 * x717
x719 = x139 * x73
x720 = x717 * x85
x721 = 0.0769800358919501 * x117
x722 = x1 * x643
x723 = 0.1924500897298752 * x170
x724 = x69 * x723
x725 = 0.3849001794597505 * x170
x726 = x604 * x725
x727 = 0.5773502691896257 * x41
x728 = x419 * x727
x729 = x725 * x83
x730 = x432 * x540
x731 = x424 * x725
x732 = x0 ** (-2.0)
x733 = x282 * x732
x734 = x4 * x733
x735 = 0.1539600717839002 * x117
x736 = x615 * x716
x737 = x604 * x727
x738 = x619 * x727
x739 = 0.5773502691896257 * x170
x740 = x139 * x739
x741 = x727 * x73
x742 = x410 * x717
x743 = x253 * x404 * x742
x744 = 1.154700538379251 * x41
x745 = x64 * x744
x746 = x159 * x717
x747 = x210 * x73
x748 = x604 * x723
x749 = x210 * x725
x750 = x64 * x721
x751 = 0.7698003589195009 * x170
x752 = x214 * x751
x753 = x220 * x725
x754 = x446 * x705
x755 = x446 * x708
x756 = x600 * x711
x757 = x457 * x706
x758 = x251 * x708
x759 = x451 * x758
x760 = x110 * x654 * x742
x761 = x231 * x744
x762 = x424 * x727
x763 = x410 * x432
x764 = x139 * x16
x765 = x16 * x728
x766 = x733 * x98
x767 = x654 * x708
x768 = x210 * x727
x769 = x393 * x739
x770 = x16 * x210
x771 = x404 * x708
x772 = x16 * x727
x773 = x708 * x733
x774 = x288 * x708
x775 = x288 * x705
x776 = x46 * x733
x777 = x295 * x717
x778 = x301 * x773
x779 = x1 * x479
x780 = x474 * x574 * x695
x781 = x478 * x693
x782 = x251 * x388 * x476
x783 = x449 * x717
x784 = x310 * x717
x785 = x449 * x711
x786 = x231 * x721
x787 = x424 * x723
x788 = x5 * x733
x789 = x393 * x711
x790 = x361 * x695
x791 = x39 * x732
x792 = x46 * x791
x793 = x695 * x88
x794 = x60 * x791
x795 = x708 * x791
x796 = x56 * x795
x797 = x711 * x82
x798 = x67 * x717
x799 = x66 * x708
x800 = x717 * x93
x801 = x66 * x705
x802 = x502 * x711
x803 = x791 * x98
x804 = x26 * x725
x805 = x54 * x82
x806 = x54 * x751
x807 = x62 * x82
x808 = x725 * x93
x809 = x727 * x82
x810 = x502 * x727
x811 = x399 * x727
x812 = x502 * x739
x813 = x54 * x741
x814 = x62 * x727
x815 = x62 * x73
x816 = x513 * x708
x817 = x133 * x791
x818 = x286 * x721
x819 = x529 * x723
x820 = x451 * x708
x821 = x234 * x717
x822 = x4 * x464 * x513 * x717
x823 = x286 * x744
x824 = x529 * x727
x825 = x463 * x708
x826 = x4 * x825
x827 = x557 * x708
x828 = x562 * x73
x829 = x557 * x705
x830 = x562 * x717
x831 = x309 * x692
x832 = x11 * x701
x833 = x309 * x708
x834 = x502 * x708
x835 = x11 * x708
x836 = x133 * x735
x837 = x286 * x725
x838 = x231 * x309
x839 = x525 * x725
x840 = x529 * x725
x841 = x11 * x723
x842 = x463 * x721
x843 = x572 * x706
x844 = x463 * x695
x845 = x46 * x5 * x591 * x844
x846 = x463 * x698
x847 = x5 * x593
x848 = x596 * x693
x849 = 0.5 * x36
x850 = 3.0 * x732
x851 = x11 * x850
x852 = x681 + x851
x853 = x1 * (x610 + x852)
x854 = 3.0 * x1 * (x310 + x64)
x855 = x5 * x599
x856 = x854 + x855
x857 = x4 * x856
x858 = x853 + x857
x859 = x4 * x858
x860 = x5 * x858
x861 = x4 * x599
x862 = 2.0 * x1 * (x597 + x603 + 2.0 * x854 + x855 + x861)
x863 = x5 * x856
x864 = 2.0 * x611 + 3.0 * x857
x865 = x860 + x862
x866 = x1 * (2.0 * x606 + 5.0 * x853 + 2.0 * x863 + x864) + x4 * x865
x867 = x38 * (
x1 * (2.0 * x614 + 2.0 * x616 + 3.0 * x859 + 3.0 * x860 + 6.0 * x862) + x4 * x866
)
x868 = 0.009523809523809524 * x41
x869 = x40 * x868
x870 = x626 + x851
x871 = x1 * (x608 + x609 + x870)
x872 = x854 + x861
x873 = x4 * x872
x874 = x859 + x862
x875 = x1 * (2.0 * x605 + 3.0 * x853 + x864 + 2.0 * x871 + 2.0 * x873) + x4 * x874
x876 = x38 * x849
x877 = x875 * x876
x878 = x47 * x868
x879 = x71 * x850
x880 = x386 + x879
x881 = 0.5 * x880
x882 = 0.5 * x69
x883 = 6.0 * x732
x884 = x12 * x883 + x4 * x870
x885 = x871 + x873
x886 = x1 * (x4 * x624 + x621 + 3.0 * x854 + x884) + x4 * x885
x887 = x46 * x876
x888 = x60 * x886
x889 = x78 * x868
x890 = 0.5 * x83
x891 = x71 * x886
x892 = x69 * x850
x893 = x497 + x892
x894 = x68 * x73
x895 = x46 * x880 + x883 * x92
x896 = x88 * x895
x897 = 9.0 * x732
x898 = x1 * (x11 * x897 + 2.0 * x625 + 7.0 * x626) + x4 * x884
x899 = 0.5 * x90
x900 = x898 * x92
x901 = x85 * x88
x902 = 0.5 * x95
x903 = x71 * x898
x904 = x60 * x893 + x883 * x90
x905 = x866 * x876
x906 = 0.06666666666666667 * x41
x907 = x104 * x874
x908 = x397 * x56
x909 = x105 * x906
x910 = x874 * x98
x911 = x1 * x122 * (x46 + x98)
x912 = x397 * x46
x913 = x911 + x912
x914 = x67 * x913
x915 = x104 * x885
x916 = x397 * x67
x917 = x116 * x906
x918 = x102 * x885
x919 = x231 * x67
x920 = 0.5 * x884
x921 = x1 * (x429 + x880)
x922 = x46 * x913
x923 = x921 + x922
x924 = x66 * x923
x925 = x66 * x913
x926 = x397 * x66
x927 = x231 * x66
x928 = x133 * x874
x929 = 0.5 * x139
x930 = x71 * x874
x931 = x56 * x73
x932 = 0.5 * x137
x933 = x885 * x92
x934 = x67 * x85
x935 = 0.5 * x147
x936 = x71 * x885
x937 = x1 * x155 * (x133 + x60)
x938 = x506 * x60
x939 = x937 + x938
x940 = x66 * x895
x941 = x66 * x880
x942 = x1 * (x533 + x893)
x943 = x60 * x939
x944 = x942 + x943
x945 = 0.5 * x73
x946 = x159 * x66
x947 = x445 + x879
x948 = 0.5 * x947
x949 = 0.02222222222222222 * x117
x950 = x397 * x98
x951 = x911 + x950
x952 = x26 * x951
x953 = 0.1111111111111111 * x170
x954 = x913 * x98
x955 = x921 + x954
x956 = x54 * x955
x957 = x54 * x951
x958 = 0.3333333333333333 * x41
x959 = x54 * x947
x960 = 0.5 * x870
x961 = 2.0 * x1 * (x402 + x423 + 2.0 * x911 + x912 + x950)
x962 = x46 * x955
x963 = x961 + x962
x964 = x62 * x963
x965 = x62 * x955
x966 = x168 * x870
x967 = x62 * x951
x968 = x62 * x947
x969 = x133 * x865
x970 = x104 * x858
x971 = x26 * x397
x972 = x102 * x858
x973 = x231 * x26
x974 = x54 * x913
x975 = x104 * x872
x976 = x397 * x54
x977 = x169 * x958
x978 = x102 * x872
x979 = x62 * x923
x980 = x114 * x870
x981 = x62 * x913
x982 = x397 * x62
x983 = 0.5 * x62
x984 = x159 * x231
x985 = 0.5 * x210
x986 = x71 * x865
x987 = x556 + x892
x988 = x33 * x73
x989 = x858 * x92
x990 = x26 * x85
x991 = 0.5 * x214
x992 = x71 * x858
x993 = x133 * x506
x994 = x937 + x993
x995 = x54 * x880
x996 = x872 * x92
x997 = 0.5 * x71
x998 = x220 * x872
x999 = x133 * x939
x1000 = x942 + x999
x1001 = x62 * x895
x1002 = x220 * x85
x1003 = 2.0 * x1 * (x511 + x528 + 2.0 * x937 + x938 + x993)
x1004 = x1000 * x60
x1005 = x1003 + x1004
x1006 = x228 * x62
x1007 = x102 * x883 + x947 * x98
x1008 = x1007 * x234
x1009 = x853 + x863
x1010 = x1009 * x233
x1011 = x1 * (x427 + x428 + x947)
x1012 = x951 * x98
x1013 = x1011 + x1012
x1014 = x1013 * x24
x1015 = x239 * x856
x1016 = x1007 * x24
x1017 = x233 * x856
x1018 = x955 * x98
x1019 = x1018 + x961
x1020 = x1019 * x22
x1021 = x1013 * x22
x1022 = x1007 * x22
x1023 = 2.0 * x430 + 3.0 * x954
x1024 = x1 * (x1023 + 2.0 * x431 + 5.0 * x921 + 2.0 * x922) + x963 * x98
x1025 = x250 * x849
x1026 = x1024 * x1025
x1027 = x1025 * x4
x1028 = x1019 * x60
x1029 = x1013 * x12
x1030 = x1007 * x12
x1031 = x24 * x951
x1032 = x168 * x856
x1033 = x24 * x947
x1034 = x22 * x955
x1035 = x22 * x951
x1036 = x133 * x963
x1037 = x12 * x955
x1038 = x12 * x951
x1039 = 0.5 * x64
x1040 = x1009 * x102
x1041 = x231 * x234
x1042 = x104 * x856
x1043 = x24 * x397
x1044 = x102 * x856
x1045 = x22 * x913
x1046 = x22 * x397
x1047 = 0.5 * x220
x1048 = x22 * x231
x1049 = x12 * x923
x1050 = x12 * x913
x1051 = x12 * x397
x1052 = 1.0 * x282
x1053 = x1052 * x4
x1054 = x1 * x1052
x1055 = x1054 * x4
x1056 = 0.5 * x288
x1057 = x1009 * x71
x1058 = x133 * x987 + x137 * x883
x1059 = x856 * x92
x1060 = x24 * x85
x1061 = x295 * x856
x1062 = x1 * (x531 + x532 + x987)
x1063 = x133 * x994
x1064 = x1062 + x1063
x1065 = 0.5 * x295
x1066 = x22 * x85
x1067 = x1000 * x133
x1068 = x1003 + x1067
x1069 = x12 * x895
x1070 = 2.0 * x534 + 3.0 * x999
x1071 = x1 * (x1070 + 2.0 * x535 + 5.0 * x942 + 2.0 * x943) + x1005 * x133
x1072 = x1052 * x1071
x1073 = x1054 * x307
x1074 = x20 * x883 + x5 * x852
x1075 = x1074 * x313
x1076 = x1 * (2.0 * x444 + 7.0 * x445 + x71 * x897) + x1007 * x98
x1077 = x1076 * x312
x1078 = 0.5 * x852
x1079 = x1 * (x1007 + x475 * x98 + x477 + 3.0 * x911) + x1013 * x98
x1080 = x1079 * x309
x1081 = x1076 * x309
x1082 = (
x1 * (2.0 * x1011 + 2.0 * x1012 + x1023 + 2.0 * x450 + 3.0 * x921) + x1019 * x98
)
x1083 = x1025 * x1082
x1084 = x1025 * x5
x1085 = x1079 * x60
x1086 = x1076 * x20
x1087 = x250 * (
x1 * (3.0 * x1018 + 2.0 * x454 + 2.0 * x455 + 6.0 * x961 + 3.0 * x962)
+ x1024 * x98
)
x1088 = x1079 * x11
x1089 = x1076 * x11
x1090 = x1074 * x233
x1091 = x1007 * x312
x1092 = x1013 * x309
x1093 = x233 * x852
x1094 = x1007 * x309
x1095 = x1019 * x133
x1096 = x1013 * x20
x1097 = x1007 * x20
x1098 = x1019 * x11
x1099 = x1013 * x11
x1100 = 0.5 * x11
x1101 = x1007 * x159
x1102 = 0.5 * x16
x1103 = x312 * x947
x1104 = x168 * x852
x1105 = x309 * x951
x1106 = x20 * x955
x1107 = x20 * x951
x1108 = x11 * x963
x1109 = x11 * x955
x1110 = x220 * x951
x1111 = x102 * x1074
x1112 = x309 * x397
x1113 = x20 * x913
x1114 = x104 * x310
x1115 = x20 * x397
x1116 = x1052 * x5
x1117 = x1054 * x5
x1118 = x11 * x923
x1119 = x295 * x913
x1120 = x301 * x397
x1121 = x1074 * x361
x1122 = x1 * (2.0 * x555 + 7.0 * x556 + x69 * x897) + x1058 * x133
x1123 = 0.5 * x361
x1124 = x309 * x85
x1125 = x1 * (x1058 + x133 * x592 + x595 + 3.0 * x937) + x1064 * x133
x1126 = x309 * x365
x1127 = x1052 * (
x1 * (2.0 * x1062 + 2.0 * x1063 + x1070 + 2.0 * x565 + 3.0 * x942) + x1068 * x133
)
x1128 = x1054 * x371
x1129 = x361 * x895
x1130 = x692 * x74
x1131 = x708 * x74
x1132 = x708 * x71
x1133 = x164 * x82
x1134 = x251 * x732
x1135 = x1134 * x4
x1136 = x176 * x725
x1137 = x168 * x751
x1138 = x126 * x717
x1139 = x71 * x723
x1140 = x602 * x708
x1141 = x1134 * x708
x1142 = x1141 * x243
x1143 = x1134 * x60
x1144 = x239 * x717
x1145 = x233 * x705
x1146 = x164 * x727
x1147 = x600 * x739
x1148 = x16 * x164
x1149 = x1134 * x133
x1150 = x562 * x711
x1151 = x313 * x695
x1152 = x1134 * x5
x1153 = 0.8660254037844386 * x36
x1154 = x1153 * x38
x1155 = x1154 * x875
x1156 = x1154 * x378
x1157 = 0.8660254037844386 * x880
x1158 = x1154 * x46
x1159 = 0.8660254037844386 * x83
x1160 = 0.8660254037844386 * x69
x1161 = 0.8660254037844386 * x95
x1162 = x1154 * x866
x1163 = x1154 * x98
x1164 = 0.8660254037844386 * x90
x1165 = 0.8660254037844386 * x884
x1166 = 0.8660254037844386 * x139
x1167 = 0.8660254037844386 * x147
x1168 = 0.8660254037844386 * x137
x1169 = 0.8660254037844386 * x73
x1170 = 0.8660254037844386 * x947
x1171 = 0.8660254037844386 * x870
x1172 = 0.8660254037844386 * x62
x1173 = 0.8660254037844386 * x210
x1174 = 0.8660254037844386 * x214
x1175 = 0.8660254037844386 * x71
x1176 = x1153 * x250
x1177 = x1024 * x1176
x1178 = x1176 * x4
x1179 = 0.8660254037844386 * x220
x1180 = 0.8660254037844386 * x288
x1181 = 0.8660254037844386 * x295
x1182 = 0.8660254037844386 * x852
x1183 = x1082 * x1176
x1184 = x1176 * x5
x1185 = 0.8660254037844386 * x11
# 1350 item(s)
result[0, 0, 0] = x35 * x44
result[0, 0, 1] = x49 * x58
result[0, 0, 2] = x58 * x61
result[0, 0, 3] = x70 * x75
result[0, 0, 4] = x76 * x80
result[0, 0, 5] = x68 * x71 * x84
result[0, 0, 6] = x87 * x88 * x89
result[0, 0, 7] = x75 * x91
result[0, 0, 8] = x84 * x88 * x92
result[0, 0, 9] = x96 * x97
result[0, 1, 0] = x100 * x101
result[0, 1, 1] = x104 * x108 * x56
result[0, 1, 2] = x111 * x56
result[0, 1, 3] = x108 * x114 * x67
result[0, 1, 4] = x115 * x119
result[0, 1, 5] = x102 * x120 * x67
result[0, 1, 6] = x127 * x128
result[0, 1, 7] = x129 * x130
result[0, 1, 8] = x120 * x131
result[0, 1, 9] = x128 * x132
result[0, 2, 0] = x101 * x134
result[0, 2, 1] = x133 * x135 * x56
result[0, 2, 2] = x136 * x140
result[0, 2, 3] = x141 * x142
result[0, 2, 4] = x143 * x144
result[0, 2, 5] = x147 * x149
result[0, 2, 6] = x128 * x150
result[0, 2, 7] = x152 * x66
result[0, 2, 8] = x130 * x153
result[0, 2, 9] = x128 * x160
result[0, 3, 0] = x161 * x166
result[0, 3, 1] = x168 * x172 * x26
result[0, 3, 2] = x173 * x174
result[0, 3, 3] = x172 * x176 * x54
result[0, 3, 4] = x168 * x179
result[0, 3, 5] = x180 * x181
result[0, 3, 6] = x185 * x186
result[0, 3, 7] = x187 * x188
result[0, 3, 8] = x181 * x189
result[0, 3, 9] = x186 * x190
result[0, 4, 0] = x191 * x192
result[0, 4, 1] = x193 * x194
result[0, 4, 2] = x195 * x196
result[0, 4, 3] = x114 * x197
result[0, 4, 4] = x198 * x200
result[0, 4, 5] = x102 * x201
result[0, 4, 6] = x202 * x203
result[0, 4, 7] = x204 * x205
result[0, 4, 8] = x204 * x206
result[0, 4, 9] = x203 * x207
result[0, 5, 0] = x211 * x33 * x71
result[0, 5, 1] = x212 * x26 * x92
result[0, 5, 2] = x214 * x216
result[0, 5, 3] = x212 * x217
result[0, 5, 4] = x218 * x92
result[0, 5, 5] = x215 * x221
result[0, 5, 6] = x186 * x222
result[0, 5, 7] = x223 * x224
result[0, 5, 8] = x188 * x225
result[0, 5, 9] = x186 * x229
result[0, 6, 0] = x233 * x234 * x235
result[0, 6, 1] = x108 * x239 * x24
result[0, 6, 2] = x233 * x241
result[0, 6, 3] = x243 * x244
result[0, 6, 4] = x239 * x245
result[0, 6, 5] = x120 * x246
result[0, 6, 6] = x247 * x252
result[0, 6, 7] = x243 * x254
result[0, 6, 8] = x12 * x120 * x239
result[0, 6, 9] = x255 * x256
result[0, 7, 0] = x257 * x258
result[0, 7, 1] = x168 * x259
result[0, 7, 2] = x139 * x260
result[0, 7, 3] = x176 * x261
result[0, 7, 4] = x168 * x262
result[0, 7, 5] = x263 * x264
result[0, 7, 6] = x184 * x265
result[0, 7, 7] = x196 * x266
result[0, 7, 8] = x168 * x268
result[0, 7, 9] = x258 * x269
result[0, 8, 0] = x102 * x234 * x270
result[0, 8, 1] = x271 * x272
result[0, 8, 2] = x273 * x274
result[0, 8, 3] = x272 * x275
result[0, 8, 4] = x104 * x277
result[0, 8, 5] = x273 * x278
result[0, 8, 6] = x12 * x126 * x270
result[0, 8, 7] = x114 * x279
result[0, 8, 8] = x267 * x280
result[0, 8, 9] = x281 * x284
result[0, 9, 0] = x289 * x290
result[0, 9, 1] = x291 * x92
result[0, 9, 2] = x148 * x296
result[0, 9, 3] = x141 * x297
result[0, 9, 4] = x299 * x92
result[0, 9, 5] = x148 * x302
result[0, 9, 6] = x303 * x87
result[0, 9, 7] = x141 * x304
result[0, 9, 8] = x284 * x305
result[0, 9, 9] = x247 * x308
result[0, 10, 0] = x312 * x313 * x89
result[0, 10, 1] = x315 * x316
result[0, 10, 2] = x316 * x317
result[0, 10, 3] = x319 * x320
result[0, 10, 4] = x322 * x323
result[0, 10, 5] = x20 * x313 * x84
result[0, 10, 6] = x324 * x325
result[0, 10, 7] = x319 * x61
result[0, 10, 8] = x11 * x314 * x84
result[0, 10, 9] = x313 * x326
result[0, 11, 0] = x255 * x327
result[0, 11, 1] = x328 * x329
result[0, 11, 2] = x328 * x330
result[0, 11, 3] = x243 * x331
result[0, 11, 4] = x144 * x332
result[0, 11, 5] = x233 * x334
result[0, 11, 6] = x134 * x252
result[0, 11, 7] = x140 * x335
result[0, 11, 8] = x239 * x337
result[0, 11, 9] = x338 * x339
result[0, 12, 0] = x211 * x340
result[0, 12, 1] = x212 * x341
result[0, 12, 2] = x342 * x343
result[0, 12, 3] = x176 * x20 * x212
result[0, 12, 4] = x344 * x345
result[0, 12, 5] = x174 * x346
result[0, 12, 6] = x11 * x184 * x211
result[0, 12, 7] = x176 * x348
result[0, 12, 8] = x347 * x349
result[0, 12, 9] = x166 * x350
result[0, 13, 0] = x102 * x351
result[0, 13, 1] = x328 * x352
result[0, 13, 2] = x328 * x353
result[0, 13, 3] = x114 * x354
result[0, 13, 4] = x104 * x355
result[0, 13, 5] = x356 * x357
result[0, 13, 6] = x126 * x358
result[0, 13, 7] = x336 * x359
result[0, 13, 8] = x336 * x360
result[0, 13, 9] = x100 * x308
result[0, 14, 0] = x362 * x363
result[0, 14, 1] = x316 * x364
result[0, 14, 2] = x316 * x366
result[0, 14, 3] = x367 * x75
result[0, 14, 4] = x369 * x370
result[0, 14, 5] = x320 * x372
result[0, 14, 6] = x373 * x374
result[0, 14, 7] = x375 * x75
result[0, 14, 8] = x372 * x49
result[0, 14, 9] = x376 * x377
result[1, 0, 0] = 0
result[1, 0, 1] = x379
result[1, 0, 2] = 0
result[1, 0, 3] = x380 * x383
result[1, 0, 4] = x385 * x79
result[1, 0, 5] = 0
result[1, 0, 6] = x387 * x88 * x89
result[1, 0, 7] = x389
result[1, 0, 8] = x390 * x84
result[1, 0, 9] = 0
result[1, 1, 0] = x392
result[1, 1, 1] = x108 * x393 * x56
result[1, 1, 2] = x395 * x396
result[1, 1, 3] = x108 * x399 * x67
result[1, 1, 4] = x119 * x400
result[1, 1, 5] = x120 * x401
result[1, 1, 6] = x128 * x405
result[1, 1, 7] = x130 * x406
result[1, 1, 8] = x120 * x407
result[1, 1, 9] = x128 * x408
result[1, 2, 0] = 0
result[1, 2, 1] = x396 * x409
result[1, 2, 2] = 0
result[1, 2, 3] = x412 * x67 * x77
result[1, 2, 4] = x144 * x401
result[1, 2, 5] = 0
result[1, 2, 6] = x128 * x413
result[1, 2, 7] = x139 * x411 * x414
result[1, 2, 8] = x130 * x415
result[1, 2, 9] = 0
result[1, 3, 0] = x416 * x417
result[1, 3, 1] = x172 * x26 * x419
result[1, 3, 2] = x420 * x422
result[1, 3, 3] = x172 * x424 * x54
result[1, 3, 4] = x179 * x419
result[1, 3, 5] = x425 * x426
result[1, 3, 6] = x186 * x432 * x69
result[1, 3, 7] = x188 * x424 * x90
result[1, 3, 8] = x181 * x433
result[1, 3, 9] = x231 * x434 * x95
result[1, 4, 0] = x396 * x435
result[1, 4, 1] = x194 * x436
result[1, 4, 2] = x196 * x437
result[1, 4, 3] = x197 * x399
result[1, 4, 4] = x200 * x438
result[1, 4, 5] = x201 * x73
result[1, 4, 6] = x137 * x203 * x404
result[1, 4, 7] = x204 * x439
result[1, 4, 8] = x204 * x440
result[1, 4, 9] = x159 * x203 * x73
result[1, 5, 0] = 0
result[1, 5, 1] = x212 * x437
result[1, 5, 2] = 0
result[1, 5, 3] = x441 * x442
result[1, 5, 4] = x218 * x73
result[1, 5, 5] = 0
result[1, 5, 6] = x186 * x443
result[1, 5, 7] = x223 * x421 * x85
result[1, 5, 8] = x188 * x220 * x73
result[1, 5, 9] = 0
result[1, 6, 0] = x234 * x235 * x446
result[1, 6, 1] = x108 * x24 * x449
result[1, 6, 2] = x241 * x446
result[1, 6, 3] = x244 * x451
result[1, 6, 4] = x245 * x449
result[1, 6, 5] = x120 * x452
result[1, 6, 6] = x247 * x457
result[1, 6, 7] = x254 * x451
result[1, 6, 8] = x12 * x120 * x449
result[1, 6, 9] = x256 * x458
result[1, 7, 0] = x459
result[1, 7, 1] = x259 * x419
result[1, 7, 2] = x139 * x460 * x461
result[1, 7, 3] = x261 * x424
result[1, 7, 4] = x262 * x419
result[1, 7, 5] = x231 * x263 * x461
result[1, 7, 6] = x265 * x432
result[1, 7, 7] = x196 * x462
result[1, 7, 8] = x268 * x419
result[1, 7, 9] = x466
result[1, 8, 0] = x270 * x467
result[1, 8, 1] = x272 * x468
result[1, 8, 2] = x274 * x469
result[1, 8, 3] = x272 * x470
result[1, 8, 4] = x277 * x393
result[1, 8, 5] = x278 * x469
result[1, 8, 6] = x12 * x270 * x404
result[1, 8, 7] = x279 * x399
result[1, 8, 8] = x267 * x471
result[1, 8, 9] = x228 * x472
result[1, 9, 0] = 0
result[1, 9, 1] = x291 * x73
result[1, 9, 2] = 0
result[1, 9, 3] = x297 * x411 * x85
result[1, 9, 4] = x299 * x73
result[1, 9, 5] = 0
result[1, 9, 6] = x303 * x387
result[1, 9, 7] = x295 * x465 * x473
result[1, 9, 8] = x301 * x472
result[1, 9, 9] = 0
result[1, 10, 0] = x312 * x474 * x89
result[1, 10, 1] = x316 * x476 * x69
result[1, 10, 2] = x316 * x474 * x90
result[1, 10, 3] = x320 * x478
result[1, 10, 4] = x323 * x479
result[1, 10, 5] = x20 * x474 * x84
result[1, 10, 6] = x325 * (
x1 * (x249 + 6.0 * x430 + 3.0 * x431 + 3.0 * x450) + x456 * x98
)
result[1, 10, 7] = x478 * x61
result[1, 10, 8] = x11 * x476 * x84
result[1, 10, 9] = x326 * x474
result[1, 11, 0] = x327 * x458
result[1, 11, 1] = x137 * x328 * x449
result[1, 11, 2] = x328 * x480
result[1, 11, 3] = x331 * x451
result[1, 11, 4] = x144 * x481
result[1, 11, 5] = x334 * x446
result[1, 11, 6] = x134 * x457
result[1, 11, 7] = x140 * x482
result[1, 11, 8] = x337 * x449
result[1, 11, 9] = x159 * x339 * x446
result[1, 12, 0] = x210 * x416 * x483
result[1, 12, 1] = x212 * x484
result[1, 12, 2] = x231 * x421 * x485
result[1, 12, 3] = x20 * x212 * x424
result[1, 12, 4] = x177 * x345 * x419
result[1, 12, 5] = x486 * x487
result[1, 12, 6] = x11 * x211 * x432
result[1, 12, 7] = x348 * x424
result[1, 12, 8] = x220 * x347 * x419
result[1, 12, 9] = x281 * x488
result[1, 13, 0] = x351 * x73
result[1, 13, 1] = x328 * x489
result[1, 13, 2] = x328 * x490
result[1, 13, 3] = x354 * x399
result[1, 13, 4] = x355 * x393
result[1, 13, 5] = x1 * x301 * x357
result[1, 13, 6] = x358 * x404
result[1, 13, 7] = x295 * x336 * x399
result[1, 13, 8] = x301 * x336 * x393
result[1, 13, 9] = x491
result[1, 14, 0] = 0
result[1, 14, 1] = x316 * x361 * x73
result[1, 14, 2] = 0
result[1, 14, 3] = x493
result[1, 14, 4] = x370 * x494
result[1, 14, 5] = 0
result[1, 14, 6] = x361 * x374 * x387
result[1, 14, 7] = x369 * x495
result[1, 14, 8] = x496
result[1, 14, 9] = 0
result[2, 0, 0] = 0
result[2, 0, 1] = 0
result[2, 0, 2] = x379
result[2, 0, 3] = 0
result[2, 0, 4] = x380 * x80
result[2, 0, 5] = x382 * x385
result[2, 0, 6] = 0
result[2, 0, 7] = x48 * x74 * x82 * x88
result[2, 0, 8] = x389
result[2, 0, 9] = x43 * x498 * x97
result[2, 1, 0] = 0
result[2, 1, 1] = 0
result[2, 1, 2] = x394 * x396 * x98
result[2, 1, 3] = 0
result[2, 1, 4] = x115 * x118 * x82
result[2, 1, 5] = x411 * x420 * x67
result[2, 1, 6] = 0
result[2, 1, 7] = x130 * x499
result[2, 1, 8] = x131 * x500
result[2, 1, 9] = x128 * x501
result[2, 2, 0] = x392
result[2, 2, 1] = x135 * x394
result[2, 2, 2] = x136 * x503
result[2, 2, 3] = x141 * x67 * x82
result[2, 2, 4] = x143 * x504
result[2, 2, 5] = x149 * x508
result[2, 2, 6] = x128 * x509
result[2, 2, 7] = x503 * x66 * x74
result[2, 2, 8] = x130 * x510
result[2, 2, 9] = x128 * x514
result[2, 3, 0] = 0
result[2, 3, 1] = 0
result[2, 3, 2] = x164 * x171 * x26 * x82
result[2, 3, 3] = 0
result[2, 3, 4] = x168 * x515
result[2, 3, 5] = x180 * x516
result[2, 3, 6] = 0
result[2, 3, 7] = x176 * x188 * x82
result[2, 3, 8] = x189 * x516
result[2, 3, 9] = x186 * x517
result[2, 4, 0] = x107 * x417
result[2, 4, 1] = x193 * x518
result[2, 4, 2] = x195 * x519
result[2, 4, 3] = x114 * x515
result[2, 4, 4] = x198 * x199 * x502
result[2, 4, 5] = x178 * x520
result[2, 4, 6] = x126 * x203 * x82
result[2, 4, 7] = x204 * x521
result[2, 4, 8] = x204 * x522
result[2, 4, 9] = x102 * x203 * x513
result[2, 5, 0] = x39 * x416 * x435
result[2, 5, 1] = x422 * x523
result[2, 5, 2] = x216 * x525
result[2, 5, 3] = x217 * x526
result[2, 5, 4] = x178 * x527
result[2, 5, 5] = x215 * x529 * x54
result[2, 5, 6] = x286 * x434 * x87
result[2, 5, 7] = x224 * x530
result[2, 5, 8] = x188 * x529 * x92
result[2, 5, 9] = x186 * x536 * x71
result[2, 6, 0] = 0
result[2, 6, 1] = 0
result[2, 6, 2] = x537 * x538
result[2, 6, 3] = 0
result[2, 6, 4] = x118 * x239 * x539
result[2, 6, 5] = x246 * x500
result[2, 6, 6] = 0
result[2, 6, 7] = x243 * x541
result[2, 6, 8] = x239 * x411 * x542
result[2, 6, 9] = x255 * x543
result[2, 7, 0] = x107 * x164 * x234 * x82
result[2, 7, 1] = x344 * x537
result[2, 7, 2] = x260 * x502
result[2, 7, 3] = x176 * x22 * x518
result[2, 7, 4] = x276 * x544
result[2, 7, 5] = x264 * x545
result[2, 7, 6] = x184 * x541
result[2, 7, 7] = x266 * x519
result[2, 7, 8] = x267 * x546
result[2, 7, 9] = x12 * x258 * x513
result[2, 8, 0] = x459
result[2, 8, 1] = x271 * x547
result[2, 8, 2] = x273 * x548
result[2, 8, 3] = x275 * x547
result[2, 8, 4] = x276 * x549
result[2, 8, 5] = x273 * x550
result[2, 8, 6] = x551
result[2, 8, 7] = x267 * x552
result[2, 8, 8] = x267 * x553
result[2, 8, 9] = x284 * x554
result[2, 9, 0] = x290 * x558
result[2, 9, 1] = x240 * x559
result[2, 9, 2] = x148 * x24 * x562
result[2, 9, 3] = x141 * x563
result[2, 9, 4] = x22 * x564 * x92
result[2, 9, 5] = x148 * x22 * x566
result[2, 9, 6] = x12 * x558 * x87
result[2, 9, 7] = x12 * x141 * x562
result[2, 9, 8] = x284 * x567
result[2, 9, 9] = x247 * x572
result[2, 10, 0] = 0
result[2, 10, 1] = 0
result[2, 10, 2] = x313 * x316 * x82
result[2, 10, 3] = 0
result[2, 10, 4] = x322 * x573
result[2, 10, 5] = x575
result[2, 10, 6] = 0
result[2, 10, 7] = x576
result[2, 10, 8] = x382 * x577
result[2, 10, 9] = x313 * x374 * x498
result[2, 11, 0] = x255 * x578
result[2, 11, 1] = x328 * x579
result[2, 11, 2] = x328 * x580
result[2, 11, 3] = x107 * x243 * x581
result[2, 11, 4] = x332 * x504
result[2, 11, 5] = x333 * x582
result[2, 11, 6] = x583
result[2, 11, 7] = x335 * x503
result[2, 11, 8] = x239 * x336 * x508
result[2, 11, 9] = x233 * x339 * x513
result[2, 12, 0] = x286 * x340 * x416
result[2, 12, 1] = x341 * x526
result[2, 12, 2] = x343 * x584
result[2, 12, 3] = x585 * x586
result[2, 12, 4] = x344 * x587
result[2, 12, 5] = x174 * x20 * x529
result[2, 12, 6] = x416 * x588
result[2, 12, 7] = x176 * x347 * x525
result[2, 12, 8] = x168 * x347 * x529
result[2, 12, 9] = x11 * x166 * x536
result[2, 13, 0] = x102 * x312 * x558
result[2, 13, 1] = x328 * x589
result[2, 13, 2] = x102 * x328 * x562
result[2, 13, 3] = x114 * x333 * x557
result[2, 13, 4] = x104 * x20 * x564
result[2, 13, 5] = x357 * x590
result[2, 13, 6] = x126 * x339 * x557
result[2, 13, 7] = x114 * x336 * x562
result[2, 13, 8] = x104 * x336 * x566
result[2, 13, 9] = x100 * x572
result[2, 14, 0] = x312 * x363 * x591
result[2, 14, 1] = x316 * x591 * x92
result[2, 14, 2] = x316 * x593 * x71
result[2, 14, 3] = x20 * x591 * x75
result[2, 14, 4] = x282 * x370 * x594
result[2, 14, 5] = x320 * x596
result[2, 14, 6] = x374 * x591 * x87
result[2, 14, 7] = x11 * x593 * x75
result[2, 14, 8] = x49 * x596
result[2, 14, 9] = x377 * (
x1 * (x307 + 6.0 * x534 + 3.0 * x535 + 3.0 * x565) + x133 * x571
)
result[3, 0, 0] = x44 * (
x1 * (x34 + 3.0 * x605 + 3.0 * x606 + 6.0 * x611) + x4 * x617
)
result[3, 0, 1] = x49 * x623
result[3, 0, 2] = x61 * x623
result[3, 0, 3] = x629 * x69 * x75
result[3, 0, 4] = x60 * x629 * x80
result[3, 0, 5] = x629 * x71 * x84
result[3, 0, 6] = x630 * x87 * x89
result[3, 0, 7] = x630 * x75 * x90
result[3, 0, 8] = x630 * x84 * x92
result[3, 0, 9] = x631 * x96
result[3, 1, 0] = x100 * x632
result[3, 1, 1] = x104 * x108 * x622
result[3, 1, 2] = x111 * x622
result[3, 1, 3] = x108 * x114 * x628
result[3, 1, 4] = x119 * x633
result[3, 1, 5] = x102 * x120 * x628
result[3, 1, 6] = x127 * x634
result[3, 1, 7] = x129 * x635
result[3, 1, 8] = x635 * x636
result[3, 1, 9] = x132 * x634
result[3, 2, 0] = x134 * x632
result[3, 2, 1] = x133 * x135 * x622
result[3, 2, 2] = x140 * x637
result[3, 2, 3] = x137 * x141 * x628
result[3, 2, 4] = x144 * x638
result[3, 2, 5] = x147 * x148 * x628
result[3, 2, 6] = x150 * x634
result[3, 2, 7] = x152 * x627
result[3, 2, 8] = x153 * x635
result[3, 2, 9] = x160 * x634
result[3, 3, 0] = x166 * x615 * x69
result[3, 3, 1] = x168 * x172 * x604
result[3, 3, 2] = x174 * x604 * x90
result[3, 3, 3] = x172 * x176 * x619
result[3, 3, 4] = x344 * x639
result[3, 3, 5] = x181 * x640
result[3, 3, 6] = x184 * x416 * x540
result[3, 3, 7] = x542 * x585
result[3, 3, 8] = x426 * x641
result[3, 3, 9] = x190 * x642
result[3, 4, 0] = x191 * x643
result[3, 4, 1] = x194 * x644
result[3, 4, 2] = x196 * x645
result[3, 4, 3] = x194 * x646
result[3, 4, 4] = x200 * x647
result[3, 4, 5] = x273 * x648
result[3, 4, 6] = x551
result[3, 4, 7] = x205 * x649
result[3, 4, 8] = x206 * x649
result[3, 4, 9] = x466
result[3, 5, 0] = x211 * x615 * x71
result[3, 5, 1] = x212 * x604 * x92
result[3, 5, 2] = x214 * x215 * x604
result[3, 5, 3] = x212 * x650
result[3, 5, 4] = x619 * x651 * x92
result[3, 5, 5] = x215 * x220 * x619
result[3, 5, 6] = x222 * x642
result[3, 5, 7] = x421 * x64 * x652
result[3, 5, 8] = x486 * x653
result[3, 5, 9] = x228 * x4 * x488
result[3, 6, 0] = x233 * x235 * x654
result[3, 6, 1] = x108 * x239 * x602
result[3, 6, 2] = x538 * x655
result[3, 6, 3] = x108 * x243 * x600
result[3, 6, 4] = x119 * x239 * x600
result[3, 6, 5] = x120 * x656
result[3, 6, 6] = x583
result[3, 6, 7] = x243 * x388 * x657
result[3, 6, 8] = x120 * x658
result[3, 6, 9] = x255 * x659
result[3, 7, 0] = x137 * x258 * x654
result[3, 7, 1] = x194 * x660
result[3, 7, 2] = x264 * x661
result[3, 7, 3] = x194 * x662
result[3, 7, 4] = x168 * x200 * x600
result[3, 7, 5] = x264 * x663
result[3, 7, 6] = x107 * x588
result[3, 7, 7] = x196 * x664
result[3, 7, 8] = x147 * x665
result[3, 7, 9] = x107 * x16 * x666
result[3, 8, 0] = x102 * x270 * x654
result[3, 8, 1] = x272 * x667
result[3, 8, 2] = x273 * x668
result[3, 8, 3] = x272 * x669
result[3, 8, 4] = x104 * x199 * x670
result[3, 8, 5] = x273 * x671
result[3, 8, 6] = x270 * x672
result[3, 8, 7] = x651 * x673
result[3, 8, 8] = x16 * x177 * x280
result[3, 8, 9] = x281 * x674
result[3, 9, 0] = x289 * x675
result[3, 9, 1] = x602 * x676 * x92
result[3, 9, 2] = x148 * x295 * x602
result[3, 9, 3] = x141 * x677
result[3, 9, 4] = x298 * x678
result[3, 9, 5] = x148 * x301 * x600
result[3, 9, 6] = x289 * x679
result[3, 9, 7] = x141 * x680
result[3, 9, 8] = x305 * x674
result[3, 9, 9] = x491
result[3, 10, 0] = x313 * x682 * x89
result[3, 10, 1] = x322 * x495
result[3, 10, 2] = x575
result[3, 10, 3] = x576
result[3, 10, 4] = x577 * x79
result[3, 10, 5] = x683 * x84
result[3, 10, 6] = 0
result[3, 10, 7] = 0
result[3, 10, 8] = 0
result[3, 10, 9] = 0
result[3, 11, 0] = x255 * x684
result[3, 11, 1] = x239 * x321 * x412
result[3, 11, 2] = x330 * x685
result[3, 11, 3] = x243 * x410 * x657
result[3, 11, 4] = x144 * x658
result[3, 11, 5] = x538 * x686
result[3, 11, 6] = 0
result[3, 11, 7] = 0
result[3, 11, 8] = 0
result[3, 11, 9] = 0
result[3, 12, 0] = x211 * x687
result[3, 12, 1] = x442 * x688
result[3, 12, 2] = x310 * x342 * x421
result[3, 12, 3] = x212 * x664
result[3, 12, 4] = x214 * x665
result[3, 12, 5] = x16 * x174 * x220
result[3, 12, 6] = 0
result[3, 12, 7] = 0
result[3, 12, 8] = 0
result[3, 12, 9] = 0
result[3, 13, 0] = x289 * x689
result[3, 13, 1] = x352 * x685
result[3, 13, 2] = x295 * x411 * x487
result[3, 13, 3] = x673 * x676
result[3, 13, 4] = x298 * x690
result[3, 13, 5] = x356 * x674
result[3, 13, 6] = 0
result[3, 13, 7] = 0
result[3, 13, 8] = 0
result[3, 13, 9] = 0
result[3, 14, 0] = x361 * x363 * x682
result[3, 14, 1] = x493
result[3, 14, 2] = x492 * x494
result[3, 14, 3] = x16 * x361 * x75
result[3, 14, 4] = x369 * x573
result[3, 14, 5] = x496
result[3, 14, 6] = 0
result[3, 14, 7] = 0
result[3, 14, 8] = 0
result[3, 14, 9] = 0
result[4, 0, 0] = 0
result[4, 0, 1] = x694
result[4, 0, 2] = 0
result[4, 0, 3] = x695 * x697
result[4, 0, 4] = x698 * x700
result[4, 0, 5] = 0
result[4, 0, 6] = x387 * x630 * x702
result[4, 0, 7] = x703
result[4, 0, 8] = x630 * x704 * x73
result[4, 0, 9] = 0
result[4, 1, 0] = x707
result[4, 1, 1] = x393 * x622 * x709
result[4, 1, 2] = x699 * x710
result[4, 1, 3] = x399 * x628 * x709
result[4, 1, 4] = x393 * x712 * x90
result[4, 1, 5] = x628 * x713 * x73
result[4, 1, 6] = x405 * x714
result[4, 1, 7] = x406 * x715
result[4, 1, 8] = x393 * x627 * x713
result[4, 1, 9] = x408 * x714
result[4, 2, 0] = 0
result[4, 2, 1] = x710 * x716
result[4, 2, 2] = 0
result[4, 2, 3] = x523 * x718
result[4, 2, 4] = x712 * x719
result[4, 2, 5] = 0
result[4, 2, 6] = x413 * x714
result[4, 2, 7] = x139 * x627 * x720
result[4, 2, 8] = x415 * x715
result[4, 2, 9] = 0
result[4, 3, 0] = x721 * x722
result[4, 3, 1] = x419 * x604 * x724
result[4, 3, 2] = x420 * x726
result[4, 3, 3] = x424 * x619 * x724
result[4, 3, 4] = x639 * x728
result[4, 3, 5] = x231 * x619 * x729
result[4, 3, 6] = x721 * x730
result[4, 3, 7] = x542 * x731
result[4, 3, 8] = x419 * x64 * x729
result[4, 3, 9] = x734 * x735 * x95 * x98
result[4, 4, 0] = x708 * x736
result[4, 4, 1] = x137 * x393 * x737
result[4, 4, 2] = x719 * x737
result[4, 4, 3] = x137 * x399 * x738
result[4, 4, 4] = x393 * x619 * x740
result[4, 4, 5] = x648 * x741
result[4, 4, 6] = x743
result[4, 4, 7] = x439 * x745
result[4, 4, 8] = x440 * x745
result[4, 4, 9] = x734 * x746
result[4, 5, 0] = 0
result[4, 5, 1] = x747 * x748
result[4, 5, 2] = 0
result[4, 5, 3] = x619 * x749 * x85
result[4, 5, 4] = x214 * x73 * x738
result[4, 5, 5] = 0
result[4, 5, 6] = x443 * x750
result[4, 5, 7] = x46 * x734 * x752
result[4, 5, 8] = x734 * x753
result[4, 5, 9] = 0
result[4, 6, 0] = x654 * x69 * x754
result[4, 6, 1] = x449 * x602 * x709
result[4, 6, 2] = x655 * x755
result[4, 6, 3] = x451 * x600 * x709
result[4, 6, 4] = x449 * x756 * x90
result[4, 6, 5] = x446 * x600 * x713
result[4, 6, 6] = x757
result[4, 6, 7] = x388 * x759
result[4, 6, 8] = x16 * x449 * x713
result[4, 6, 9] = x659 * x754
result[4, 7, 0] = x760
result[4, 7, 1] = x137 * x602 * x728
result[4, 7, 2] = x661 * x761
result[4, 7, 3] = x137 * x600 * x762
result[4, 7, 4] = x419 * x600 * x740
result[4, 7, 5] = x663 * x761
result[4, 7, 6] = x758 * x763
result[4, 7, 7] = x762 * x764
result[4, 7, 8] = x147 * x765
result[4, 7, 9] = x746 * x766
result[4, 8, 0] = x747 * x767
result[4, 8, 1] = x393 * x602 * x768
result[4, 8, 2] = x668 * x741
result[4, 8, 3] = x399 * x600 * x768
result[4, 8, 4] = x670 * x769
result[4, 8, 5] = x671 * x741
result[4, 8, 6] = x770 * x771
result[4, 8, 7] = x214 * x399 * x772
result[4, 8, 8] = x471 * x772
result[4, 8, 9] = x228 * x773
result[4, 9, 0] = 0
result[4, 9, 1] = x602 * x73 * x774
result[4, 9, 2] = 0
result[4, 9, 3] = x677 * x720
result[4, 9, 4] = x490 * x756
result[4, 9, 5] = 0
result[4, 9, 6] = x16 * x387 * x775
result[4, 9, 7] = x776 * x777
result[4, 9, 8] = x778
result[4, 9, 9] = 0
result[4, 10, 0] = x474 * x682 * x702
result[4, 10, 1] = x695 * x779
result[4, 10, 2] = x780
result[4, 10, 3] = x781
result[4, 10, 4] = x698 * x782
result[4, 10, 5] = x16 * x474 * x704
result[4, 10, 6] = 0
result[4, 10, 7] = 0
result[4, 10, 8] = 0
result[4, 10, 9] = 0
result[4, 11, 0] = x684 * x754
result[4, 11, 1] = x586 * x783
result[4, 11, 2] = x480 * x784
result[4, 11, 3] = x410 * x759
result[4, 11, 4] = x764 * x785
result[4, 11, 5] = x686 * x755
result[4, 11, 6] = 0
result[4, 11, 7] = 0
result[4, 11, 8] = 0
result[4, 11, 9] = 0
result[4, 12, 0] = x210 * x682 * x786
result[4, 12, 1] = x310 * x419 * x749
result[4, 12, 2] = x5 * x752 * x766
result[4, 12, 3] = x770 * x787
result[4, 12, 4] = x214 * x765
result[4, 12, 5] = x753 * x766
result[4, 12, 6] = 0
result[4, 12, 7] = 0
result[4, 12, 8] = 0
result[4, 12, 9] = 0
result[4, 13, 0] = x682 * x73 * x775
result[4, 13, 1] = x489 * x784
result[4, 13, 2] = x777 * x788
result[4, 13, 3] = x16 * x399 * x774
result[4, 13, 4] = x680 * x789
result[4, 13, 5] = x778
result[4, 13, 6] = 0
result[4, 13, 7] = 0
result[4, 13, 8] = 0
result[4, 13, 9] = 0
result[4, 14, 0] = 0
result[4, 14, 1] = x788 * x790
result[4, 14, 2] = 0
result[4, 14, 3] = x776 * x790
result[4, 14, 4] = x365 * x698 * x733
result[4, 14, 5] = 0
result[4, 14, 6] = 0
result[4, 14, 7] = 0
result[4, 14, 8] = 0
result[4, 14, 9] = 0
result[5, 0, 0] = 0
result[5, 0, 1] = 0
result[5, 0, 2] = 0
result[5, 0, 3] = 0
result[5, 0, 4] = x68 * x698 * x791
result[5, 0, 5] = 0
result[5, 0, 6] = 0
result[5, 0, 7] = x792 * x793
result[5, 0, 8] = x793 * x794
result[5, 0, 9] = 0
result[5, 1, 0] = 0
result[5, 1, 1] = 0
result[5, 1, 2] = x796
result[5, 1, 3] = 0
result[5, 1, 4] = x400 * x797
result[5, 1, 5] = x794 * x798
result[5, 1, 6] = 0
result[5, 1, 7] = x399 * x799 * x82
result[5, 1, 8] = x407 * x800
result[5, 1, 9] = x498 * x73 * x801
result[5, 2, 0] = 0
result[5, 2, 1] = x796
result[5, 2, 2] = 0
result[5, 2, 3] = x792 * x798
result[5, 2, 4] = x401 * x802
result[5, 2, 5] = 0
result[5, 2, 6] = x387 * x801 * x82
result[5, 2, 7] = x414 * x502 * x717
result[5, 2, 8] = x508 * x73 * x799
result[5, 2, 9] = 0
result[5, 3, 0] = 0
result[5, 3, 1] = 0
result[5, 3, 2] = x803 * x804
result[5, 3, 3] = 0
result[5, 3, 4] = x728 * x805
result[5, 3, 5] = x794 * x806 * x98
result[5, 3, 6] = 0
result[5, 3, 7] = x787 * x807
result[5, 3, 8] = x433 * x808
result[5, 3, 9] = x498 * x62 * x786
result[5, 4, 0] = x33 * x795
result[5, 4, 1] = x436 * x809
result[5, 4, 2] = x437 * x810
result[5, 4, 3] = x805 * x811
result[5, 4, 4] = x438 * x812
result[5, 4, 5] = x508 * x813
result[5, 4, 6] = x771 * x807
result[5, 4, 7] = x399 * x502 * x814
result[5, 4, 8] = x393 * x508 * x814
result[5, 4, 9] = x815 * x816
result[5, 5, 0] = 0
result[5, 5, 1] = x804 * x817
result[5, 5, 2] = 0
result[5, 5, 3] = x133 * x792 * x806
result[5, 5, 4] = x525 * x813
result[5, 5, 5] = 0
result[5, 5, 6] = x387 * x62 * x818
result[5, 5, 7] = x530 * x725 * x85
result[5, 5, 8] = x815 * x819
result[5, 5, 9] = 0
result[5, 6, 0] = 0
result[5, 6, 1] = 0
result[5, 6, 2] = x537 * x755
result[5, 6, 3] = 0
result[5, 6, 4] = x539 * x785
result[5, 6, 5] = x452 * x800
result[5, 6, 6] = 0
result[5, 6, 7] = x540 * x820
result[5, 6, 8] = x542 * x783
result[5, 6, 9] = x543 * x754
result[5, 7, 0] = x803 * x821
result[5, 7, 1] = x537 * x728
result[5, 7, 2] = x460 * x502 * x744
result[5, 7, 3] = x539 * x762
result[5, 7, 4] = x22 * x419 * x812
result[5, 7, 5] = x545 * x761
result[5, 7, 6] = x708 * x730
result[5, 7, 7] = x462 * x810
result[5, 7, 8] = x12 * x508 * x728
result[5, 7, 9] = x822
result[5, 8, 0] = x817 * x821
result[5, 8, 1] = x468 * x823
result[5, 8, 2] = x548 * x741
result[5, 8, 3] = x470 * x823
result[5, 8, 4] = x22 * x525 * x769
result[5, 8, 5] = x550 * x741
result[5, 8, 6] = x743
result[5, 8, 7] = x12 * x525 * x811
result[5, 8, 8] = x12 * x393 * x824
result[5, 8, 9] = x536 * x826
result[5, 9, 0] = 0
result[5, 9, 1] = x24 * x73 * x827
result[5, 9, 2] = 0
result[5, 9, 3] = x563 * x720
result[5, 9, 4] = x22 * x711 * x828
result[5, 9, 5] = 0
result[5, 9, 6] = x12 * x387 * x829
result[5, 9, 7] = x653 * x830
result[5, 9, 8] = x566 * x826
result[5, 9, 9] = 0
result[5, 10, 0] = 0
result[5, 10, 1] = 0
result[5, 10, 2] = x474 * x82 * x831
result[5, 10, 3] = 0
result[5, 10, 4] = x698 * x779
result[5, 10, 5] = x780
result[5, 10, 6] = 0
result[5, 10, 7] = x781
result[5, 10, 8] = x695 * x782
result[5, 10, 9] = x474 * x498 * x832
result[5, 11, 0] = x578 * x754
result[5, 11, 1] = x449 * x82 * x833
result[5, 11, 2] = x446 * x502 * x833
result[5, 11, 3] = x581 * x820
result[5, 11, 4] = x481 * x802
result[5, 11, 5] = x20 * x508 * x755
result[5, 11, 6] = x757
result[5, 11, 7] = x482 * x834
result[5, 11, 8] = x449 * x508 * x835
result[5, 11, 9] = x11 * x513 * x754
result[5, 12, 0] = x312 * x803 * x836
result[5, 12, 1] = x484 * x837
result[5, 12, 2] = x838 * x839
result[5, 12, 3] = x586 * x731
result[5, 12, 4] = x587 * x728
result[5, 12, 5] = x487 * x840
result[5, 12, 6] = x251 * x721 * x763
result[5, 12, 7] = x424 * x525 * x841
result[5, 12, 8] = x419 * x529 * x841
result[5, 12, 9] = x554 * x842
result[5, 13, 0] = x312 * x73 * x829
result[5, 13, 1] = x393 * x557 * x833
result[5, 13, 2] = x828 * x833
result[5, 13, 3] = x20 * x399 * x827
result[5, 13, 4] = x20 * x562 * x789
result[5, 13, 5] = x5 * x566 * x825
result[5, 13, 6] = x11 * x404 * x829
result[5, 13, 7] = x399 * x562 * x835
result[5, 13, 8] = x393 * x566 * x835
result[5, 13, 9] = x843
result[5, 14, 0] = 0
result[5, 14, 1] = x591 * x73 * x831
result[5, 14, 2] = 0
result[5, 14, 3] = x845
result[5, 14, 4] = x846 * x847
result[5, 14, 5] = 0
result[5, 14, 6] = x387 * x591 * x832
result[5, 14, 7] = x594 * x844
result[5, 14, 8] = x848
result[5, 14, 9] = 0
result[6, 0, 0] = x869 * (1.570796326794897 * x1 * x2 * x35 * x36 * x37 - x849 * x867)
result[6, 0, 1] = x46 * x878 * (1.570796326794897 * x1 * x2 * x36 * x37 * x57 - x877)
result[6, 0, 2] = x60 * x878 * (1.570796326794897 * x1 * x2 * x36 * x37 * x57 - x877)
result[6, 0, 3] = (
1.0 * x878 * (x1 * x36 * x68 * x74 * x8 * x9 - x70 * x881 - x74 * x882 * x886)
)
result[6, 0, 4] = x889 * (
1.570796326794897 * x1 * x2 * x36 * x37 * x46 * x60 * x68 - x887 * x888
)
result[6, 0, 5] = (
1.0 * x878 * (x37 * x68 * x8 * x893 * x9 - x890 * x891 - x890 * x894)
)
result[6, 0, 6] = (
1.0 * x869 * (x1 * x36 * x8 * x87 * x88 * x9 - x87 * x882 * x898 - x882 * x896)
)
result[6, 0, 7] = (
1.0
* x878
* (x1 * x36 * x60 * x74 * x8 * x88 * x9 - x74 * x898 * x899 - x881 * x91)
)
result[6, 0, 8] = (
1.0 * x878 * (x37 * x46 * x8 * x88 * x893 * x9 - x890 * x900 - x890 * x901)
)
result[6, 0, 9] = (
1.0 * x869 * (x37 * x8 * x88 * x9 * x904 - x390 * x902 - x902 * x903)
)
result[6, 1, 0] = x906 * x98 * (1.570796326794897 * x1 * x2 * x34 * x36 * x37 - x905)
result[6, 1, 1] = (
1.0 * x909 * (x1 * x104 * x36 * x56 * x8 * x9 - x882 * x907 - x882 * x908)
)
result[6, 1, 2] = (
x60 * x909 * (1.570796326794897 * x1 * x2 * x36 * x37 * x56 * x98 - x876 * x910)
)
result[6, 1, 3] = (
1.0 * x909 * (x1 * x114 * x36 * x67 * x8 * x9 - x114 * x882 * x885 - x882 * x914)
)
result[6, 1, 4] = (
1.0 * x917 * (x1 * x104 * x36 * x60 * x67 * x8 * x9 - x899 * x915 - x899 * x916)
)
result[6, 1, 5] = (
1.0 * x909 * (x37 * x67 * x8 * x893 * x9 * x98 - x890 * x918 - x890 * x919)
)
result[6, 1, 6] = (
1.0 * x906 * (x1 * x126 * x36 * x66 * x8 * x9 - x127 * x920 - x882 * x924)
)
result[6, 1, 7] = (
1.0 * x909 * (x1 * x114 * x36 * x60 * x66 * x8 * x9 - x129 * x920 - x899 * x925)
)
result[6, 1, 8] = 1.0 * x909 * (x104 * x66 * x893 - x636 * x920 - x890 * x926)
result[6, 1, 9] = (
1.0 * x906 * (-x132 * x920 + x37 * x66 * x8 * x9 * x904 * x98 - x902 * x927)
)
result[6, 2, 0] = x133 * x906 * (1.570796326794897 * x1 * x2 * x34 * x36 * x37 - x905)
result[6, 2, 1] = x909 * (
1.570796326794897 * x1 * x133 * x2 * x36 * x37 * x46 * x56 - x887 * x928
)
result[6, 2, 2] = (
1.0 * x909 * (x1 * x37 * x505 * x56 * x8 * x9 - x929 * x930 - x929 * x931)
)
result[6, 2, 3] = (
1.0
* x909
* (x1 * x133 * x36 * x67 * x74 * x8 * x9 - x142 * x881 - x74 * x885 * x932)
)
result[6, 2, 4] = (
1.0 * x917 * (x1 * x37 * x46 * x505 * x67 * x8 * x9 - x929 * x933 - x929 * x934)
)
result[6, 2, 5] = (
1.0 * x909 * (x37 * x67 * x8 * x9 * x939 - x401 * x935 - x935 * x936)
)
result[6, 2, 6] = (
1.0 * x906 * (x1 * x133 * x36 * x66 * x8 * x87 * x9 - x150 * x920 - x932 * x940)
)
result[6, 2, 7] = 1.0 * x909 * (x1 * x505 * x66 * x74 - x151 * x920 - x929 * x941)
result[6, 2, 8] = (
1.0 * x909 * (-x153 * x920 + x37 * x46 * x66 * x8 * x9 * x939 - x414 * x935)
)
result[6, 2, 9] = (
1.0 * x906 * (-x160 * x920 + x37 * x66 * x8 * x9 * x944 - x945 * x946)
)
result[6, 3, 0] = (
1.0 * x949 * (x1 * x164 * x33 * x36 * x8 * x9 - x161 * x948 - x164 * x865 * x882)
)
result[6, 3, 1] = (
1.0 * x953 * (x1 * x168 * x26 * x36 * x8 * x9 - x168 * x858 * x882 - x882 * x952)
)
result[6, 3, 2] = (
1.0
* x953
* (x1 * x164 * x26 * x36 * x60 * x8 * x9 - x164 * x858 * x899 - x173 * x948)
)
result[6, 3, 3] = (
1.0 * x953 * (x1 * x176 * x36 * x54 * x8 * x9 - x176 * x872 * x882 - x882 * x956)
)
result[6, 3, 4] = (
1.0
* x958
* (x1 * x168 * x36 * x54 * x60 * x8 * x9 - x168 * x872 * x899 - x899 * x957)
)
result[6, 3, 5] = 1.0 * x953 * (x164 * x54 * x893 - x164 * x872 * x890 - x890 * x959)
result[6, 3, 6] = (
1.0 * x949 * (x1 * x184 * x36 * x62 * x8 * x9 - x185 * x960 - x882 * x964)
)
result[6, 3, 7] = (
1.0 * x953 * (x1 * x176 * x36 * x60 * x62 * x8 * x9 - x187 * x960 - x899 * x965)
)
result[6, 3, 8] = 1.0 * x953 * (x168 * x62 * x893 - x890 * x966 - x890 * x967)
result[6, 3, 9] = 1.0 * x949 * (x164 * x62 * x904 - x164 * x870 * x902 - x902 * x968)
result[6, 4, 0] = (
x909 * x98 * (1.570796326794897 * x1 * x133 * x2 * x33 * x36 * x37 - x876 * x969)
)
result[6, 4, 1] = (
1.0 * x958 * (x1 * x104 * x133 * x26 * x36 * x8 * x9 - x932 * x970 - x932 * x971)
)
result[6, 4, 2] = (
1.0 * x958 * (x1 * x26 * x37 * x505 * x8 * x9 * x98 - x929 * x972 - x929 * x973)
)
result[6, 4, 3] = (
1.0
* x958
* (x1 * x114 * x133 * x36 * x54 * x8 * x9 - x114 * x872 * x932 - x932 * x974)
)
result[6, 4, 4] = 1.0 * x977 * (x1 * x104 * x505 * x54 - x929 * x975 - x929 * x976)
result[6, 4, 5] = (
1.0 * x958 * (x37 * x54 * x8 * x9 * x939 * x98 - x425 * x935 - x935 * x978)
)
result[6, 4, 6] = (
1.0 * x909 * (x1 * x126 * x133 * x36 * x62 * x8 * x9 - x202 * x960 - x932 * x979)
)
result[6, 4, 7] = 1.0 * x958 * (x1 * x114 * x505 * x62 - x929 * x980 - x929 * x981)
result[6, 4, 8] = 1.0 * x958 * (x104 * x62 * x939 - x206 * x960 - x935 * x982)
result[6, 4, 9] = (
1.0 * x909 * (-x207 * x960 + x37 * x62 * x8 * x9 * x944 * x98 - x983 * x984)
)
result[6, 5, 0] = (
1.0 * x949 * (x33 * x37 * x8 * x9 * x987 - x985 * x986 - x985 * x988)
)
result[6, 5, 1] = (
1.0 * x953 * (x26 * x37 * x46 * x8 * x9 * x987 - x985 * x989 - x985 * x990)
)
result[6, 5, 2] = (
1.0 * x953 * (x26 * x37 * x8 * x9 * x994 - x437 * x991 - x991 * x992)
)
result[6, 5, 3] = 1.0 * x953 * (x54 * x74 * x987 - x74 * x872 * x985 - x985 * x995)
result[6, 5, 4] = (
1.0 * x958 * (x37 * x46 * x54 * x8 * x9 * x994 - x441 * x991 - x991 * x996)
)
result[6, 5, 5] = (
1.0 * x953 * (x1000 * x37 * x54 * x8 * x9 - x221 * x945 - x997 * x998)
)
result[6, 5, 6] = 1.0 * x949 * (-x1001 * x985 - x222 * x960 + x62 * x87 * x987)
result[6, 5, 7] = 1.0 * x953 * (-x223 * x881 + x62 * x74 * x994 - x652 * x960)
result[6, 5, 8] = (
1.0 * x953 * (x1000 * x37 * x46 * x62 * x8 * x9 - x1002 * x983 - x225 * x960)
)
result[6, 5, 9] = (
1.0 * x949 * (x1005 * x37 * x62 * x8 * x9 - x1006 * x945 - x229 * x960)
)
result[6, 6, 0] = (
1.0 * x906 * (x1 * x233 * x234 * x36 * x8 * x9 - x1008 * x882 - x1010 * x882)
)
result[6, 6, 1] = (
1.0 * x909 * (x1 * x239 * x24 * x36 * x8 * x9 - x1014 * x882 - x1015 * x882)
)
result[6, 6, 2] = (
1.0 * x909 * (x1 * x233 * x24 * x36 * x60 * x8 * x9 - x1016 * x899 - x1017 * x899)
)
result[6, 6, 3] = (
1.0 * x909 * (x1 * x22 * x243 * x36 * x8 * x9 - x1020 * x882 - x243 * x599 * x882)
)
result[6, 6, 4] = (
1.0
* x917
* (x1 * x22 * x239 * x36 * x60 * x8 * x9 - x1021 * x899 - x239 * x599 * x899)
)
result[6, 6, 5] = (
1.0 * x909 * (-x1022 * x890 + x22 * x233 * x893 - x233 * x599 * x890)
)
result[6, 6, 6] = x4 * x906 * (1.570796326794897 * x1 * x2 * x249 * x36 * x7 - x1026)
result[6, 6, 7] = x909 * (
1.570796326794897 * x1 * x2 * x243 * x36 * x4 * x60 * x7 - x1027 * x1028
)
result[6, 6, 8] = (
1.0 * x909 * (-x1029 * x890 + x239 * x4 * x7 * x8 * x893 * x9 - x239 * x64 * x890)
)
result[6, 6, 9] = (
1.0 * x906 * (-x1030 * x902 + x233 * x4 * x7 * x8 * x9 * x904 - x233 * x64 * x902)
)
result[6, 7, 0] = (
1.0
* x909
* (x1 * x133 * x164 * x234 * x36 * x8 * x9 - x1009 * x164 * x932 - x257 * x948)
)
result[6, 7, 1] = (
1.0
* x958
* (x1 * x133 * x168 * x24 * x36 * x8 * x9 - x1031 * x932 - x1032 * x932)
)
result[6, 7, 2] = (
1.0 * x958 * (x1 * x164 * x24 * x505 - x1033 * x929 - x164 * x856 * x929)
)
result[6, 7, 3] = (
1.0
* x958
* (x1 * x133 * x176 * x22 * x36 * x8 * x9 - x1034 * x932 - x176 * x599 * x932)
)
result[6, 7, 4] = (
1.0 * x977 * (x1 * x168 * x22 * x505 - x1035 * x929 - x168 * x599 * x929)
)
result[6, 7, 5] = 1.0 * x958 * (x164 * x22 * x939 - x164 * x599 * x935 - x263 * x948)
result[6, 7, 6] = x909 * (
1.570796326794897 * x1 * x133 * x184 * x2 * x36 * x4 * x7 - x1027 * x1036
)
result[6, 7, 7] = (
1.0
* x958
* (x1 * x176 * x4 * x505 * x7 * x8 * x9 - x1037 * x929 - x176 * x64 * x929)
)
result[6, 7, 8] = (
1.0 * x958 * (-x1038 * x935 + x168 * x4 * x7 * x8 * x9 * x939 - x641 * x935)
)
result[6, 7, 9] = (
1.0 * x909 * (-x1039 * x666 + x164 * x4 * x7 * x8 * x9 * x944 - x269 * x948)
)
result[6, 8, 0] = (
1.0 * x909 * (-x1040 * x985 - x1041 * x985 + x234 * x37 * x8 * x9 * x98 * x987)
)
result[6, 8, 1] = 1.0 * x958 * (x104 * x24 * x987 - x1042 * x985 - x1043 * x985)
result[6, 8, 2] = (
1.0 * x958 * (-x1044 * x991 + x24 * x37 * x8 * x9 * x98 * x994 - x460 * x991)
)
result[6, 8, 3] = (
1.0 * x958 * (-x1045 * x985 + x114 * x22 * x987 - x114 * x599 * x985)
)
result[6, 8, 4] = 1.0 * x977 * (x104 * x22 * x994 - x104 * x599 * x991 - x1046 * x991)
result[6, 8, 5] = (
1.0
* x958
* (x1000 * x22 * x37 * x8 * x9 * x98 - x102 * x1047 * x599 - x1047 * x1048)
)
result[6, 8, 6] = (
1.0 * x909 * (-x1049 * x985 + x126 * x4 * x7 * x8 * x9 * x987 - x126 * x64 * x985)
)
result[6, 8, 7] = (
1.0 * x958 * (-x1050 * x991 + x114 * x4 * x7 * x8 * x9 * x994 - x114 * x64 * x991)
)
result[6, 8, 8] = (
1.0 * x958 * (x1000 * x104 * x4 * x7 * x8 * x9 - x1039 * x280 - x1047 * x1051)
)
result[6, 8, 9] = x909 * (x1005 * x1053 * x98 - x1055 * x281)
result[6, 9, 0] = (
1.0 * x906 * (-x1056 * x1057 - x1056 * x467 + x1058 * x234 * x37 * x8 * x9)
)
result[6, 9, 1] = (
1.0 * x909 * (-x1056 * x1059 - x1056 * x1060 + x1058 * x24 * x37 * x46 * x8 * x9)
)
result[6, 9, 2] = (
1.0 * x909 * (-x1061 * x997 + x1064 * x24 * x37 * x8 * x9 - x296 * x945)
)
result[6, 9, 3] = 1.0 * x909 * (-x1056 * x599 * x74 + x1058 * x22 * x74 - x297 * x881)
result[6, 9, 4] = (
1.0
* x917
* (x1064 * x22 * x37 * x46 * x8 * x9 - x1065 * x1066 - x1065 * x599 * x92)
)
result[6, 9, 5] = (
1.0 * x909 * (x1068 * x22 * x37 * x8 * x9 - x301 * x599 * x997 - x302 * x945)
)
result[6, 9, 6] = (
1.0
* x906
* (-x1056 * x1069 - x1056 * x64 * x87 + x1058 * x4 * x7 * x8 * x87 * x9)
)
result[6, 9, 7] = (
1.0 * x909 * (-x1039 * x295 * x74 + x1064 * x4 * x7 * x74 * x8 * x9 - x304 * x881)
)
result[6, 9, 8] = x909 * (x1053 * x1068 * x46 - x1055 * x305)
result[6, 9, 9] = x4 * x906 * (x1072 - x1073)
result[6, 10, 0] = (
1.0 * x869 * (x1 * x312 * x313 * x36 * x8 * x9 - x1075 * x882 - x1077 * x882)
)
result[6, 10, 1] = (
1.0 * x878 * (x1 * x309 * x314 * x36 * x8 * x9 - x1078 * x315 - x1080 * x882)
)
result[6, 10, 2] = (
1.0
* x878
* (x1 * x309 * x313 * x36 * x60 * x8 * x9 - x1078 * x317 - x1081 * x899)
)
result[6, 10, 3] = x5 * x878 * (1.570796326794897 * x1 * x2 * x318 * x36 * x7 - x1083)
result[6, 10, 4] = x889 * (
1.570796326794897 * x1 * x2 * x314 * x36 * x5 * x60 * x7 - x1084 * x1085
)
result[6, 10, 5] = (
1.0
* x878
* (-x1086 * x890 - x310 * x313 * x890 + x313 * x5 * x7 * x8 * x893 * x9)
)
result[6, 10, 6] = x869 * (
1.570796326794897 * x1 * x2 * x324 * x36 * x7 - x1087 * x849
)
result[6, 10, 7] = (
x60 * x878 * (1.570796326794897 * x1 * x2 * x318 * x36 * x7 - x1083)
)
result[6, 10, 8] = (
1.0 * x878 * (-x1088 * x890 - x16 * x314 * x890 + x314 * x7 * x8 * x893 * x9)
)
result[6, 10, 9] = (
1.0 * x869 * (-x1089 * x902 + x313 * x7 * x8 * x9 * x904 - x683 * x902)
)
result[6, 11, 0] = (
1.0
* x906
* (x1 * x133 * x233 * x312 * x36 * x8 * x9 - x1090 * x932 - x1091 * x932)
)
result[6, 11, 1] = (
1.0
* x909
* (x1 * x133 * x239 * x309 * x36 * x8 * x9 - x1078 * x329 - x1092 * x932)
)
result[6, 11, 2] = (
1.0 * x909 * (x1 * x233 * x309 * x505 - x1093 * x929 - x1094 * x929)
)
result[6, 11, 3] = x909 * (
1.570796326794897 * x1 * x133 * x2 * x243 * x36 * x5 * x7 - x1084 * x1095
)
result[6, 11, 4] = (
1.0
* x917
* (x1 * x239 * x5 * x505 * x7 * x8 * x9 - x1096 * x929 - x239 * x310 * x929)
)
result[6, 11, 5] = (
1.0
* x909
* (-x1097 * x935 - x233 * x310 * x935 + x233 * x5 * x7 * x8 * x9 * x939)
)
result[6, 11, 6] = (
x133 * x906 * (1.570796326794897 * x1 * x2 * x249 * x36 * x7 - x1026)
)
result[6, 11, 7] = (
1.0 * x909 * (x1 * x243 * x505 * x7 * x8 * x9 - x1098 * x929 - x16 * x243 * x929)
)
result[6, 11, 8] = (
1.0 * x909 * (-x1099 * x935 + x239 * x7 * x8 * x9 * x939 - x658 * x935)
)
result[6, 11, 9] = (
1.0 * x906 * (-x1100 * x1101 - x1102 * x338 + x233 * x7 * x8 * x9 * x944)
)
result[6, 12, 0] = (
1.0 * x949 * (-x1074 * x164 * x985 - x1103 * x985 + x164 * x312 * x987)
)
result[6, 12, 1] = 1.0 * x953 * (-x1104 * x985 - x1105 * x985 + x168 * x309 * x987)
result[6, 12, 2] = 1.0 * x953 * (-x1078 * x342 + x164 * x309 * x994 - x485 * x948)
result[6, 12, 3] = (
1.0
* x953
* (-x1106 * x985 - x176 * x310 * x985 + x176 * x5 * x7 * x8 * x9 * x987)
)
result[6, 12, 4] = (
1.0 * x958 * (-x1107 * x991 + x168 * x5 * x7 * x8 * x9 * x994 - x688 * x991)
)
result[6, 12, 5] = (
1.0
* x953
* (x1000 * x164 * x5 * x7 * x8 * x9 - x1047 * x164 * x310 - x346 * x948)
)
result[6, 12, 6] = (
1.0 * x949 * (-x1108 * x985 - x16 * x184 * x985 + x184 * x7 * x8 * x9 * x987)
)
result[6, 12, 7] = (
1.0 * x953 * (-x1109 * x991 + x176 * x7 * x8 * x9 * x994 - x664 * x991)
)
result[6, 12, 8] = (
1.0 * x953 * (x1000 * x168 * x7 * x8 * x9 - x1100 * x1110 - x1102 * x349)
)
result[6, 12, 9] = (
1.0 * x949 * (x1005 * x164 * x7 * x8 * x9 - x1102 * x164 * x228 - x350 * x948)
)
result[6, 13, 0] = (
1.0 * x906 * (-x1056 * x1111 - x1056 * x483 + x1058 * x312 * x37 * x8 * x9 * x98)
)
result[6, 13, 1] = 1.0 * x909 * (x104 * x1058 * x309 - x1056 * x1112 - x1078 * x352)
result[6, 13, 2] = (
1.0 * x909 * (x1064 * x309 * x37 * x8 * x9 * x98 - x1065 * x838 - x1078 * x353)
)
result[6, 13, 3] = (
1.0
* x909
* (-x1056 * x1113 - x1056 * x114 * x310 + x1058 * x114 * x5 * x7 * x8 * x9)
)
result[6, 13, 4] = (
1.0 * x917 * (x104 * x1064 * x5 * x7 * x8 * x9 - x1065 * x1114 - x1065 * x1115)
)
result[6, 13, 5] = x909 * (x1068 * x1116 * x98 - x1117 * x356)
result[6, 13, 6] = (
1.0 * x906 * (-x1056 * x1118 - x1056 * x672 + x1058 * x126 * x7 * x8 * x9)
)
result[6, 13, 7] = (
1.0 * x909 * (x1064 * x114 * x7 * x8 * x9 - x1100 * x1119 - x1102 * x359)
)
result[6, 13, 8] = (
1.0 * x909 * (x104 * x1068 * x7 * x8 * x9 - x1100 * x1120 - x1102 * x360)
)
result[6, 13, 9] = x906 * x98 * (x1072 - x1073)
result[6, 14, 0] = (
1.0 * x869 * (-x1121 * x997 + x1122 * x312 * x37 * x8 * x9 - x362 * x945)
)
result[6, 14, 1] = (
1.0 * x878 * (-x1078 * x364 + x1122 * x309 * x37 * x46 * x8 * x9 - x1123 * x1124)
)
result[6, 14, 2] = (
1.0 * x878 * (-x1078 * x366 + x1125 * x309 * x37 * x8 * x9 - x1126 * x945)
)
result[6, 14, 3] = (
1.0 * x878 * (x1122 * x5 * x7 * x74 * x8 * x9 - x1123 * x310 * x74 - x367 * x881)
)
result[6, 14, 4] = x889 * (x1116 * x1125 * x46 - x1117 * x368)
result[6, 14, 5] = x5 * x878 * (x1127 - x1128)
result[6, 14, 6] = (
1.0 * x869 * (-x1100 * x1129 - x1102 * x373 + x1122 * x7 * x8 * x87 * x9)
)
result[6, 14, 7] = (
1.0 * x878 * (-x1102 * x365 * x74 + x1125 * x7 * x74 * x8 * x9 - x375 * x881)
)
result[6, 14, 8] = x46 * x878 * (x1127 - x1128)
result[6, 14, 9] = x869 * (
x1052
* (
x1 * (6.0 * x1003 + 3.0 * x1004 + 3.0 * x1067 + 2.0 * x569 + 2.0 * x570)
+ x1071 * x133
)
- x1054 * x376
)
result[7, 0, 0] = 0
result[7, 0, 1] = 0
result[7, 0, 2] = x694
result[7, 0, 3] = 0
result[7, 0, 4] = x697 * x698
result[7, 0, 5] = x695 * x700
result[7, 0, 6] = 0
result[7, 0, 7] = x1130 * x630 * x82
result[7, 0, 8] = x703
result[7, 0, 9] = x498 * x631 * x701
result[7, 1, 0] = 0
result[7, 1, 1] = 0
result[7, 1, 2] = x1 * x110 * x710
result[7, 1, 3] = 0
result[7, 1, 4] = x633 * x797
result[7, 1, 5] = x420 * x718
result[7, 1, 6] = 0
result[7, 1, 7] = x499 * x715
result[7, 1, 8] = x104 * x627 * x800
result[7, 1, 9] = x501 * x714
result[7, 2, 0] = x707
result[7, 2, 1] = x696 * x710
result[7, 2, 2] = x637 * x834
result[7, 2, 3] = x1131 * x628 * x82
result[7, 2, 4] = x638 * x802
result[7, 2, 5] = x1132 * x508 * x628
result[7, 2, 6] = x509 * x714
result[7, 2, 7] = x1131 * x502 * x627
result[7, 2, 8] = x510 * x715
result[7, 2, 9] = x514 * x714
result[7, 3, 0] = 0
result[7, 3, 1] = 0
result[7, 3, 2] = x1133 * x748
result[7, 3, 3] = 0
result[7, 3, 4] = x168 * x738 * x82
result[7, 3, 5] = x640 * x808
result[7, 3, 6] = 0
result[7, 3, 7] = x1135 * x1136
result[7, 3, 8] = x1135 * x1137 * x60
result[7, 3, 9] = x517 * x750
result[7, 4, 0] = x708 * x722
result[7, 4, 1] = x644 * x809
result[7, 4, 2] = x645 * x810
result[7, 4, 3] = x646 * x809
result[7, 4, 4] = x647 * x812
result[7, 4, 5] = x520 * x738
result[7, 4, 6] = x1135 * x1138
result[7, 4, 7] = x521 * x745
result[7, 4, 8] = x522 * x745
result[7, 4, 9] = x822
result[7, 5, 0] = x721 * x736
result[7, 5, 1] = x523 * x726
result[7, 5, 2] = x1139 * x525 * x604
result[7, 5, 3] = x650 * x837
result[7, 5, 4] = x527 * x738
result[7, 5, 5] = x1139 * x529 * x619
result[7, 5, 6] = x1135 * x836 * x87
result[7, 5, 7] = x64 * x74 * x839
result[7, 5, 8] = x653 * x840
result[7, 5, 9] = x4 * x536 * x842
result[7, 6, 0] = 0
result[7, 6, 1] = 0
result[7, 6, 2] = x1140 * x233 * x82
result[7, 6, 3] = 0
result[7, 6, 4] = x579 * x756
result[7, 6, 5] = x656 * x800
result[7, 6, 6] = 0
result[7, 6, 7] = x1142
result[7, 6, 8] = x1143 * x1144
result[7, 6, 9] = x1145 * x16 * x498
result[7, 7, 0] = x1133 * x767
result[7, 7, 1] = x660 * x809
result[7, 7, 2] = x1146 * x502 * x602
result[7, 7, 3] = x662 * x809
result[7, 7, 4] = x1147 * x544
result[7, 7, 5] = x1146 * x508 * x600
result[7, 7, 6] = x1141 * x184
result[7, 7, 7] = x664 * x810
result[7, 7, 8] = x546 * x772
result[7, 7, 9] = x1148 * x816
result[7, 8, 0] = x760
result[7, 8, 1] = x667 * x823
result[7, 8, 2] = x102 * x525 * x602 * x727
result[7, 8, 3] = x669 * x823
result[7, 8, 4] = x1147 * x549
result[7, 8, 5] = x102 * x600 * x824
result[7, 8, 6] = x1138 * x1149
result[7, 8, 7] = x552 * x772
result[7, 8, 8] = x553 * x772
result[7, 8, 9] = x554 * x825
result[7, 9, 0] = x675 * x829
result[7, 9, 1] = x1140 * x559
result[7, 9, 2] = x1132 * x562 * x602
result[7, 9, 3] = x1131 * x557 * x600
result[7, 9, 4] = x1150 * x678
result[7, 9, 5] = x1132 * x566 * x600
result[7, 9, 6] = x679 * x829
result[7, 9, 7] = x1131 * x16 * x562
result[7, 9, 8] = x567 * x825
result[7, 9, 9] = x843
result[7, 10, 0] = 0
result[7, 10, 1] = 0
result[7, 10, 2] = x1151 * x1152
result[7, 10, 3] = 0
result[7, 10, 4] = x1134 * x314 * x698
result[7, 10, 5] = x1143 * x1151
result[7, 10, 6] = 0
result[7, 10, 7] = 0
result[7, 10, 8] = 0
result[7, 10, 9] = 0
result[7, 11, 0] = x1145 * x682 * x82
result[7, 11, 1] = x1144 * x1152
result[7, 11, 2] = x580 * x784
result[7, 11, 3] = x1142
result[7, 11, 4] = x658 * x802
result[7, 11, 5] = x16 * x582 * x708
result[7, 11, 6] = 0
result[7, 11, 7] = 0
result[7, 11, 8] = 0
result[7, 11, 9] = 0
result[7, 12, 0] = x687 * x818
result[7, 12, 1] = x1137 * x1149 * x5
result[7, 12, 2] = x310 * x584 * x725
result[7, 12, 3] = x1136 * x1149
result[7, 12, 4] = x168 * x525 * x772
result[7, 12, 5] = x1148 * x819
result[7, 12, 6] = 0
result[7, 12, 7] = 0
result[7, 12, 8] = 0
result[7, 12, 9] = 0
result[7, 13, 0] = x689 * x829
result[7, 13, 1] = x589 * x784
result[7, 13, 2] = x487 * x830
result[7, 13, 3] = x673 * x827
result[7, 13, 4] = x1150 * x690
result[7, 13, 5] = x590 * x825
result[7, 13, 6] = 0
result[7, 13, 7] = 0
result[7, 13, 8] = 0
result[7, 13, 9] = 0
result[7, 14, 0] = x591 * x682 * x701 * x71
result[7, 14, 1] = x845
result[7, 14, 2] = x844 * x847
result[7, 14, 3] = x1130 * x16 * x591
result[7, 14, 4] = x594 * x846
result[7, 14, 5] = x848
result[7, 14, 6] = 0
result[7, 14, 7] = 0
result[7, 14, 8] = 0
result[7, 14, 9] = 0
result[8, 0, 0] = x869 * (-x1 * x1154 * x35 + x1153 * x867)
result[8, 0, 1] = x46 * x878 * (x1155 - x1156)
result[8, 0, 2] = x60 * x878 * (x1155 - x1156)
result[8, 0, 3] = -x878 * (
x1157 * x70 - 0.8660254037844386 * x36 * x74 * x8 * x886 * x9
)
result[8, 0, 4] = x1158 * x889 * (-x384 + x888)
result[8, 0, 5] = x1159 * x878 * (x891 - x894)
result[8, 0, 6] = -x869 * (
x1160 * x896 - 0.8660254037844386 * x36 * x8 * x87 * x898 * x9
)
result[8, 0, 7] = -x878 * (
x1157 * x91 - 0.8660254037844386 * x36 * x60 * x74 * x8 * x898 * x9
)
result[8, 0, 8] = x1159 * x878 * (x900 - x901)
result[8, 0, 9] = x1161 * x869 * (-x390 + x903)
result[8, 1, 0] = x906 * (x1162 * x98 - x1163 * x391)
result[8, 1, 1] = x1160 * x909 * (x907 - x908)
result[8, 1, 2] = x909 * (x1154 * x60 * x910 - x1163 * x395)
result[8, 1, 3] = x909 * (
0.8660254037844386 * x114 * x36 * x8 * x885 * x9 - x1160 * x914
)
result[8, 1, 4] = x1164 * x917 * (x915 - x916)
result[8, 1, 5] = x1159 * x909 * (x918 - x919)
result[8, 1, 6] = -x906 * (
x1160 * x924 - 0.8660254037844386 * x126 * x36 * x8 * x884 * x9
)
result[8, 1, 7] = x909 * (
0.8660254037844386 * x114 * x36 * x60 * x8 * x884 * x9 - x1164 * x925
)
result[8, 1, 8] = x909 * (-x1159 * x926 + x1165 * x636)
result[8, 1, 9] = x906 * (-x1161 * x927 + x1165 * x132)
result[8, 2, 0] = x133 * x906 * (-x1154 * x391 + x1162)
result[8, 2, 1] = x1158 * x909 * (-x409 + x928)
result[8, 2, 2] = x1166 * x909 * (x930 - x931)
result[8, 2, 3] = -x909 * (
x1157 * x142 - 0.8660254037844386 * x133 * x36 * x74 * x8 * x885 * x9
)
result[8, 2, 4] = x1166 * x917 * (x933 - x934)
result[8, 2, 5] = x1167 * x909 * (-x401 + x936)
result[8, 2, 6] = -x906 * (
x1168 * x940 - 0.8660254037844386 * x133 * x36 * x8 * x87 * x884 * x9
)
result[8, 2, 7] = -x909 * (x1166 * x941 - 0.8660254037844386 * x139 * x74 * x884)
result[8, 2, 8] = x909 * (x1165 * x153 - x1167 * x414)
result[8, 2, 9] = x906 * (x1165 * x160 - x1169 * x946)
result[8, 3, 0] = -x949 * (
x1170 * x161 - 0.8660254037844386 * x164 * x36 * x8 * x865 * x9
)
result[8, 3, 1] = -x953 * (
x1160 * x952 - 0.8660254037844386 * x168 * x36 * x8 * x858 * x9
)
result[8, 3, 2] = -x953 * (
x1170 * x173 - 0.8660254037844386 * x164 * x36 * x60 * x8 * x858 * x9
)
result[8, 3, 3] = -x953 * (
x1160 * x956 - 0.8660254037844386 * x176 * x36 * x8 * x872 * x9
)
result[8, 3, 4] = -x958 * (
x1164 * x957 - 0.8660254037844386 * x168 * x36 * x60 * x8 * x872 * x9
)
result[8, 3, 5] = -x953 * (x1159 * x959 - 0.8660254037844386 * x164 * x83 * x872)
result[8, 3, 6] = x949 * (-x1160 * x964 + x1171 * x185)
result[8, 3, 7] = x953 * (-x1164 * x965 + x1171 * x187)
result[8, 3, 8] = x1159 * x953 * (x966 - x967)
result[8, 3, 9] = -x949 * (x1161 * x968 - 0.8660254037844386 * x164 * x870 * x95)
result[8, 4, 0] = x1163 * x909 * (-x435 + x969)
result[8, 4, 1] = x1168 * x958 * (x970 - x971)
result[8, 4, 2] = x1166 * x958 * (x972 - x973)
result[8, 4, 3] = x958 * (
0.8660254037844386 * x114 * x133 * x36 * x8 * x872 * x9 - x1168 * x974
)
result[8, 4, 4] = x1166 * x977 * (x975 - x976)
result[8, 4, 5] = x1167 * x958 * (-x425 + x978)
result[8, 4, 6] = x909 * (-x1168 * x979 + x1171 * x202)
result[8, 4, 7] = x1166 * x958 * (x980 - x981)
result[8, 4, 8] = x958 * (-x1167 * x982 + x1171 * x206)
result[8, 4, 9] = x909 * (x1171 * x207 - x1172 * x984)
result[8, 5, 0] = x1173 * x949 * (x986 - x988)
result[8, 5, 1] = x1173 * x953 * (x989 - x990)
result[8, 5, 2] = x1174 * x953 * (-x437 + x992)
result[8, 5, 3] = -x953 * (x1173 * x995 - 0.8660254037844386 * x210 * x74 * x872)
result[8, 5, 4] = x1174 * x958 * (-x441 + x996)
result[8, 5, 5] = x953 * (-x1169 * x221 + x1175 * x998)
result[8, 5, 6] = x949 * (-x1001 * x1173 + x1171 * x222)
result[8, 5, 7] = -x953 * (x1157 * x223 - 0.8660254037844386 * x214 * x74 * x870)
result[8, 5, 8] = x953 * (-x1002 * x1172 + x1171 * x225)
result[8, 5, 9] = x949 * (-x1006 * x1169 + x1171 * x229)
result[8, 6, 0] = x1160 * x906 * (-x1008 + x1010)
result[8, 6, 1] = x1160 * x909 * (-x1014 + x1015)
result[8, 6, 2] = x1164 * x909 * (-x1016 + x1017)
result[8, 6, 3] = x909 * (
0.8660254037844386 * x1 * x243 * x36 * x598 * x8 * x9 - x1020 * x1160
)
result[8, 6, 4] = x917 * (
0.8660254037844386 * x1 * x239 * x36 * x598 * x60 * x8 * x9 - x1021 * x1164
)
result[8, 6, 5] = x909 * (0.8660254037844386 * x1 * x233 * x598 * x83 - x1022 * x1159)
result[8, 6, 6] = x4 * x906 * (2.720699046351327 * x1 * x2 * x249 * x36 * x7 - x1177)
result[8, 6, 7] = x909 * (
2.720699046351327 * x1 * x2 * x243 * x36 * x4 * x60 * x7 - x1028 * x1178
)
result[8, 6, 8] = x909 * (
0.8660254037844386 * x1 * x239 * x4 * x7 * x8 * x83 * x9 - x1029 * x1159
)
result[8, 6, 9] = x906 * (
0.8660254037844386 * x1 * x233 * x4 * x7 * x8 * x9 * x95 - x1030 * x1161
)
result[8, 7, 0] = x909 * (
0.8660254037844386 * x1009 * x133 * x164 * x36 * x8 * x9 - x1170 * x257
)
result[8, 7, 1] = x1168 * x958 * (-x1031 + x1032)
result[8, 7, 2] = -x958 * (x1033 * x1166 - 0.8660254037844386 * x139 * x164 * x856)
result[8, 7, 3] = x958 * (
0.8660254037844386 * x1 * x133 * x176 * x36 * x598 * x8 * x9 - x1034 * x1168
)
result[8, 7, 4] = x977 * (
0.8660254037844386 * x1 * x139 * x168 * x598 - x1035 * x1166
)
result[8, 7, 5] = x958 * (0.8660254037844386 * x1 * x147 * x164 * x598 - x1170 * x263)
result[8, 7, 6] = x909 * (
2.720699046351327 * x1 * x133 * x184 * x2 * x36 * x4 * x7 - x1036 * x1178
)
result[8, 7, 7] = x958 * (
0.8660254037844386 * x1 * x139 * x176 * x4 * x7 * x8 * x9 - x1037 * x1166
)
result[8, 7, 8] = x958 * (
0.8660254037844386 * x1 * x147 * x168 * x4 * x7 * x8 * x9 - x1038 * x1167
)
result[8, 7, 9] = x909 * (
0.8660254037844386 * x1 * x159 * x164 * x4 * x7 * x8 * x9 - x1170 * x269
)
result[8, 8, 0] = x1173 * x909 * (x1040 - x1041)
result[8, 8, 1] = x1173 * x958 * (x1042 - x1043)
result[8, 8, 2] = x1174 * x958 * (x1044 - x460)
result[8, 8, 3] = x958 * (
0.8660254037844386 * x1 * x114 * x210 * x598 - x1045 * x1173
)
result[8, 8, 4] = x977 * (
0.8660254037844386 * x1 * x104 * x214 * x598 - x1046 * x1174
)
result[8, 8, 5] = x958 * (
0.8660254037844386 * x1 * x220 * x37 * x598 * x8 * x9 * x98 - x1048 * x1179
)
result[8, 8, 6] = x909 * (
0.8660254037844386 * x1 * x126 * x210 * x4 * x7 * x8 * x9 - x1049 * x1173
)
result[8, 8, 7] = x958 * (
0.8660254037844386 * x1 * x114 * x214 * x4 * x7 * x8 * x9 - x1050 * x1174
)
result[8, 8, 8] = -x958 * (x1051 * x1179 - 0.8660254037844386 * x280 * x64)
result[8, 8, 9] = 0
result[8, 9, 0] = x1180 * x906 * (x1057 - x467)
result[8, 9, 1] = x1180 * x909 * (x1059 - x1060)
result[8, 9, 2] = x909 * (x1061 * x1175 - x1169 * x296)
result[8, 9, 3] = x909 * (0.8660254037844386 * x1 * x288 * x598 * x74 - x1157 * x297)
result[8, 9, 4] = x917 * (
0.8660254037844386 * x1 * x295 * x37 * x46 * x598 * x8 * x9 - x1066 * x1181
)
result[8, 9, 5] = x909 * (
0.8660254037844386 * x1 * x301 * x37 * x598 * x8 * x9 - x1169 * x302
)
result[8, 9, 6] = x906 * (
0.8660254037844386 * x1 * x288 * x4 * x7 * x8 * x87 * x9 - x1069 * x1180
)
result[8, 9, 7] = x909 * (
0.8660254037844386 * x1 * x295 * x4 * x7 * x74 * x8 * x9 - x1157 * x304
)
result[8, 9, 8] = 0
result[8, 9, 9] = 0
result[8, 10, 0] = x1160 * x869 * (x1075 - x1077)
result[8, 10, 1] = x878 * (-x1080 * x1160 + x1182 * x315)
result[8, 10, 2] = x878 * (-x1081 * x1164 + x1182 * x317)
result[8, 10, 3] = x5 * x878 * (2.720699046351327 * x1 * x2 * x318 * x36 * x7 - x1183)
result[8, 10, 4] = x889 * (
2.720699046351327 * x1 * x2 * x314 * x36 * x5 * x60 * x7 - x1085 * x1184
)
result[8, 10, 5] = x878 * (
0.8660254037844386 * x1 * x313 * x5 * x7 * x8 * x83 * x9 - x1086 * x1159
)
result[8, 10, 6] = x869 * (
2.720699046351327 * x1 * x2 * x324 * x36 * x7 - x1087 * x1153
)
result[8, 10, 7] = (
x60 * x878 * (2.720699046351327 * x1 * x2 * x318 * x36 * x7 - x1183)
)
result[8, 10, 8] = x878 * (
0.8660254037844386 * x1 * x314 * x7 * x8 * x83 * x9 - x1088 * x1159
)
result[8, 10, 9] = x869 * (
0.8660254037844386 * x1 * x313 * x7 * x8 * x9 * x95 - x1089 * x1161
)
result[8, 11, 0] = x1168 * x906 * (x1090 - x1091)
result[8, 11, 1] = x909 * (-x1092 * x1168 + x1182 * x329)
result[8, 11, 2] = x1166 * x909 * (x1093 - x1094)
result[8, 11, 3] = x909 * (
2.720699046351327 * x1 * x133 * x2 * x243 * x36 * x5 * x7 - x1095 * x1184
)
result[8, 11, 4] = x917 * (
0.8660254037844386 * x1 * x139 * x239 * x5 * x7 * x8 * x9 - x1096 * x1166
)
result[8, 11, 5] = x909 * (
0.8660254037844386 * x1 * x147 * x233 * x5 * x7 * x8 * x9 - x1097 * x1167
)
result[8, 11, 6] = (
x133 * x906 * (2.720699046351327 * x1 * x2 * x249 * x36 * x7 - x1177)
)
result[8, 11, 7] = x909 * (
0.8660254037844386 * x1 * x139 * x243 * x7 * x8 * x9 - x1098 * x1166
)
result[8, 11, 8] = x909 * (
0.8660254037844386 * x1 * x147 * x239 * x7 * x8 * x9 - x1099 * x1167
)
result[8, 11, 9] = x906 * (
0.8660254037844386 * x1 * x159 * x233 * x7 * x8 * x9 - x1101 * x1185
)
result[8, 12, 0] = x949 * (0.8660254037844386 * x1074 * x164 * x210 - x1103 * x1173)
result[8, 12, 1] = x1173 * x953 * (x1104 - x1105)
result[8, 12, 2] = x953 * (-x1170 * x485 + x1182 * x342)
result[8, 12, 3] = x953 * (
0.8660254037844386 * x1 * x176 * x210 * x5 * x7 * x8 * x9 - x1106 * x1173
)
result[8, 12, 4] = x958 * (
0.8660254037844386 * x1 * x168 * x214 * x5 * x7 * x8 * x9 - x1107 * x1174
)
result[8, 12, 5] = x953 * (
0.8660254037844386 * x1 * x164 * x220 * x5 * x7 * x8 * x9 - x1170 * x346
)
result[8, 12, 6] = x949 * (
0.8660254037844386 * x1 * x184 * x210 * x7 * x8 * x9 - x1108 * x1173
)
result[8, 12, 7] = x953 * (
0.8660254037844386 * x1 * x176 * x214 * x7 * x8 * x9 - x1109 * x1174
)
result[8, 12, 8] = x953 * (
0.8660254037844386 * x1 * x168 * x220 * x7 * x8 * x9 - x1110 * x1185
)
result[8, 12, 9] = x949 * (
0.8660254037844386 * x1 * x164 * x228 * x7 * x8 * x9 - x1170 * x350
)
result[8, 13, 0] = x1180 * x906 * (x1111 - x483)
result[8, 13, 1] = x909 * (-x1112 * x1180 + x1182 * x352)
result[8, 13, 2] = x909 * (-x1181 * x838 + x1182 * x353)
result[8, 13, 3] = x909 * (
0.8660254037844386 * x1 * x114 * x288 * x5 * x7 * x8 * x9 - x1113 * x1180
)
result[8, 13, 4] = x1181 * x917 * (x1114 - x1115)
result[8, 13, 5] = 0
result[8, 13, 6] = x906 * (
0.8660254037844386 * x1 * x126 * x288 * x7 * x8 * x9 - x1118 * x1180
)
result[8, 13, 7] = x909 * (
0.8660254037844386 * x1 * x114 * x295 * x7 * x8 * x9 - x1119 * x1185
)
result[8, 13, 8] = -x909 * (x1120 * x1185 - 0.8660254037844386 * x16 * x360)
result[8, 13, 9] = 0
result[8, 14, 0] = x869 * (x1121 * x1175 - x1169 * x362)
result[8, 14, 1] = -x878 * (0.8660254037844386 * x1124 * x361 - x1182 * x364)
result[8, 14, 2] = x878 * (-x1126 * x1169 + x1182 * x366)
result[8, 14, 3] = x878 * (
0.8660254037844386 * x1 * x361 * x5 * x7 * x74 * x8 * x9 - x1157 * x367
)
result[8, 14, 4] = 0
result[8, 14, 5] = 0
result[8, 14, 6] = x869 * (
0.8660254037844386 * x1 * x361 * x7 * x8 * x87 * x9 - x1129 * x1185
)
result[8, 14, 7] = x878 * (
0.8660254037844386 * x1 * x365 * x7 * x74 * x8 * x9 - x1157 * x375
)
result[8, 14, 8] = 0
result[8, 14, 9] = 0
return result
[docs]
def multipole3d_sph_44(ax, da, A, bx, db, B):
"""Primitive Cartesian 3D (gg) spherical multipole integrals.
In contrast to the other multipole integrals, the origin R is calculated
inside the function and is (possibly) unique for all primitive pairs.
Generated code; DO NOT modify by hand!"""
result = numpy.zeros((9, 15, 15), dtype=float)
x0 = 2.0 * ax + 2.0 * bx
x1 = x0 ** (-1.0)
x2 = (ax + bx) ** (-1.0)
x3 = -x2 * (ax * A[0] + bx * B[0])
x4 = -x3 - B[0]
x5 = -x3 - A[0]
x6 = 1.772453850905516
x7 = numpy.sqrt(x2)
x8 = x6 * x7
x9 = ax * bx * x2
x10 = numpy.exp(-x9 * (A[0] - B[0]) ** 2)
x11 = x1 * x10
x12 = x11 * x8
x13 = x10 * x8
x14 = x13 * x5
x15 = x14 * x4
x16 = x12 + x15
x17 = x16 * x5
x18 = x16 * x4
x19 = x13 * x4
x20 = x1 * (x14 + x19)
x21 = 2.0 * x1 * (x17 + x18 + 2.0 * x20)
x22 = 2.0 * x15
x23 = x4**2
x24 = x13 * x23
x25 = 3.0 * x12
x26 = x24 + x25
x27 = x1 * (x22 + x26)
x28 = x18 + x20
x29 = x28 * x5
x30 = x27 + x29
x31 = x30 * x4
x32 = x21 + x31
x33 = x32 * x4
x34 = x32 * x5
x35 = x28 * x4
x36 = 3.0 * x29
x37 = x1 * (5.0 * x27 + 2.0 * x35 + x36)
x38 = x30 * x5
x39 = 3.0 * x1 * (2.0 * x21 + x31 + x38)
x40 = x34 + x37
x41 = x39 + x4 * x40
x42 = x1 * (3.0 * x33 + 4.0 * x34 + 7.0 * x37) + x41 * x5
x43 = da * db
x44 = 0.009523809523809525 * x43
x45 = numpy.exp(-x9 * (A[2] - B[2]) ** 2)
x46 = numpy.exp(-x9 * (A[1] - B[1]) ** 2)
x47 = 3.141592653589793 * x2 * x46
x48 = x45 * x47
x49 = x44 * x48
x50 = -x2 * (ax * A[1] + bx * B[1])
x51 = -x50 - B[1]
x52 = x39 + x40 * x5
x53 = 2.645751311064591
x54 = x49 * x53
x55 = x52 * x54
x56 = -x2 * (ax * A[2] + bx * B[2])
x57 = -x56 - B[2]
x58 = x5**2
x59 = x13 * x58
x60 = x25 + x59
x61 = x1 * (x22 + x60)
x62 = x17 + x20
x63 = x5 * x62
x64 = x21 + x38
x65 = x1 * (3.0 * x27 + x36 + 2.0 * x61 + 2.0 * x63) + x5 * x64
x66 = x45 * x8
x67 = x65 * x66
x68 = x46 * x8
x69 = x51**2 * x68
x70 = x1 * x68
x71 = x69 + x70
x72 = 10.2469507659596 * x43
x73 = 0.003174603174603175 * x72
x74 = x71 * x73
x75 = x57 * x65
x76 = 5.916079783099616
x77 = x49 * x76
x78 = x51 * x77
x79 = x57**2 * x66
x80 = x1 * x66
x81 = x79 + x80
x82 = x73 * x81
x83 = x51 * x71
x84 = x51 * x70
x85 = 2.0 * x84
x86 = x83 + x85
x87 = 3.0 * x20
x88 = x12 + x59
x89 = x5 * x88
x90 = x12 * x5
x91 = 2.0 * x90
x92 = x89 + x91
x93 = x61 + x63
x94 = x1 * (3.0 * x17 + x87 + x92) + x5 * x93
x95 = x44 * x66
x96 = x53 * x95
x97 = x57 * x66
x98 = x94 * x97
x99 = x44 * x76
x100 = x71 * x99
x101 = x51 * x68
x102 = x81 * x99
x103 = x68 * x94
x104 = x57 * x81
x105 = x57 * x80
x106 = 2.0 * x105
x107 = x104 + x106
x108 = x44 * x53
x109 = x107 * x108
x110 = x1 * (x25 + 3.0 * x59) + x5 * x92
x111 = 3.0 * x70
x112 = x1 * (x111 + 3.0 * x69) + x51 * x86
x113 = x110 * x86
x114 = x108 * x97
x115 = x110 * x71
x116 = x101 * x110
x117 = 3.0 * x80
x118 = x1 * (x117 + 3.0 * x79) + x107 * x57
x119 = x118 * x44
x120 = x110 * x68
x121 = -x50 - A[1]
x122 = x41 * x54
x123 = x121 * x68
x124 = x123 * x51
x125 = x124 + x70
x126 = 0.06666666666666667 * x43
x127 = x126 * x66
x128 = x127 * x40
x129 = x40 * x48
x130 = x126 * x129
x131 = x121 * x57
x132 = x1 * (x101 + x123)
x133 = x125 * x51
x134 = x132 + x133
x135 = 3.872983346207417 * x43
x136 = 0.02222222222222222 * x135
x137 = x134 * x136
x138 = x64 * x66
x139 = 2.23606797749979
x140 = x126 * x139
x141 = x140 * x97
x142 = x141 * x64
x143 = x136 * x81
x144 = 2.0 * x124
x145 = x111 + x69
x146 = x1 * (x144 + x145)
x147 = x134 * x51
x148 = x146 + x147
x149 = x134 * x93
x150 = x125 * x93
x151 = x140 * x81
x152 = x107 * x126
x153 = x123 * x93
x154 = 3.0 * x132
x155 = x1 * (3.0 * x133 + x154 + x86) + x148 * x51
x156 = x155 * x66
x157 = x108 * x92
x158 = x126 * x92
x159 = x148 * x97
x160 = x134 * x92
x161 = x107 * x125
x162 = x118 * x123
x163 = -x56 - A[2]
x164 = x130 * x51
x165 = x163 * x66
x166 = x165 * x57
x167 = x166 + x80
x168 = x126 * x167
x169 = x40 * x68
x170 = x136 * x71
x171 = x165 * x64
x172 = x139 * x168
x173 = x101 * x64
x174 = x64 * x68
x175 = x1 * (x165 + x97)
x176 = x167 * x57
x177 = x175 + x176
x178 = x136 * x177
x179 = x86 * x93
x180 = x126 * x165
x181 = x71 * x93
x182 = x101 * x93
x183 = x140 * x177
x184 = 2.0 * x166
x185 = x117 + x79
x186 = x1 * (x184 + x185)
x187 = x177 * x57
x188 = x186 + x187
x189 = x126 * x68
x190 = x189 * x93
x191 = x112 * x165
x192 = x167 * x86
x193 = x177 * x71
x194 = x136 * x92
x195 = x101 * x188
x196 = 3.0 * x175
x197 = x1 * (x107 + 3.0 * x176 + x196) + x188 * x57
x198 = x197 * x68
x199 = x121**2
x200 = x199 * x68
x201 = x200 + x70
x202 = x33 + x37
x203 = x66 * x73
x204 = x121 * x125
x205 = x132 + x204
x206 = x136 * x66
x207 = x136 * x201 * x32
x208 = x121 * x134
x209 = x146 + x208
x210 = 0.1111111111111111 * x43
x211 = x210 * x66
x212 = x205 * x30
x213 = 1.732050807568877
x214 = x210 * x213
x215 = x214 * x97
x216 = x201 * x30
x217 = x210 * x81
x218 = 2.0 * x1 * (2.0 * x132 + x133 + x204)
x219 = x209 * x51
x220 = x218 + x219
x221 = x206 * x62
x222 = x215 * x62
x223 = x205 * x62
x224 = x213 * x217
x225 = x201 * x62
x226 = x107 * x136
x227 = 3.0 * x208
x228 = x1 * (5.0 * x146 + 2.0 * x147 + x227)
x229 = x220 * x51
x230 = x228 + x229
x231 = x230 * x66
x232 = x73 * x88
x233 = x136 * x88
x234 = x220 * x97
x235 = x209 * x88
x236 = x205 * x88
x237 = x118 * x201
x238 = x121 * x202
x239 = x238 * x77
x240 = x140 * x165
x241 = x240 * x32
x242 = x123 * x32
x243 = x134 * x30
x244 = x165 * x214
x245 = 0.3333333333333333 * x43
x246 = x167 * x245
x247 = x246 * x30
x248 = x177 * x214
x249 = x123 * x30
x250 = x240 * x62
x251 = x246 * x62
x252 = x177 * x245
x253 = x252 * x62
x254 = x140 * x188
x255 = x254 * x62
x256 = x155 * x165
x257 = x88 * x99
x258 = x172 * x88
x259 = x248 * x88
x260 = x125 * x188
x261 = x140 * x88
x262 = x123 * x197
x263 = x163**2
x264 = x263 * x66
x265 = x264 + x80
x266 = x265 * x73
x267 = x136 * x265
x268 = x32 * x68
x269 = x163 * x167
x270 = x175 + x269
x271 = x136 * x270
x272 = x30 * x71
x273 = x210 * x265
x274 = x101 * x30
x275 = x214 * x270
x276 = x163 * x177
x277 = x186 + x276
x278 = x210 * x277
x279 = x30 * x68
x280 = x62 * x86
x281 = x213 * x270
x282 = x210 * x71
x283 = x282 * x62
x284 = x214 * x277
x285 = x284 * x62
x286 = 2.0 * x1 * (2.0 * x175 + x176 + x269)
x287 = x277 * x57
x288 = x286 + x287
x289 = x288 * x62
x290 = x136 * x68
x291 = x112 * x265
x292 = x270 * x86
x293 = x277 * x88
x294 = x101 * x288
x295 = 3.0 * x276
x296 = x1 * (5.0 * x186 + 2.0 * x187 + x295)
x297 = x288 * x57
x298 = x296 + x297
x299 = x298 * x68
x300 = x121 * x201
x301 = x121 * x70
x302 = 2.0 * x301
x303 = x300 + x302
x304 = x12 + x24
x305 = x304 * x4
x306 = x12 * x4
x307 = 2.0 * x306
x308 = x305 + x307
x309 = x27 + x35
x310 = x1 * (3.0 * x18 + x308 + x87) + x309 * x4
x311 = x111 + x200
x312 = x1 * (x144 + x311)
x313 = x121 * x205
x314 = x312 + x313
x315 = x303 * x309
x316 = x126 * x97
x317 = x121 * x209
x318 = x218 + x317
x319 = x206 * x28
x320 = x141 * x28
x321 = x28 * x303
x322 = x121 * x220
x323 = x228 + x322
x324 = x127 * x16
x325 = x140 * x16
x326 = x325 * x97
x327 = x16 * x314
x328 = x16 * x303
x329 = 3.0 * x1 * (2.0 * x218 + x219 + x317)
x330 = x323 * x51 + x329
x331 = x10 * x44
x332 = 3.141592653589793 * x2
x333 = x332 * x45
x334 = x331 * x333
x335 = x334 * x53
x336 = x323 * x57
x337 = x10 * x126
x338 = x333 * x5
x339 = x337 * x338
x340 = x14 * x314
x341 = x119 * x53
x342 = x14 * x341
x343 = x201 * x310 * x99
x344 = x205 * x309
x345 = x201 * x309
x346 = x244 * x28
x347 = x246 * x28
x348 = x201 * x28
x349 = x165 * x325
x350 = x16 * x246
x351 = x16 * x205
x352 = x201 * x325
x353 = x163 * x230
x354 = x5 * x76
x355 = x334 * x354
x356 = x14 * x220
x357 = x14 * x209
x358 = x14 * x254
x359 = x14 * x99
x360 = x201 * x359
x361 = x265 * x99
x362 = x125 * x309
x363 = x140 * x265
x364 = x123 * x309
x365 = x140 * x270
x366 = x134 * x28
x367 = x213 * x273
x368 = x245 * x270
x369 = x28 * x368
x370 = x28 * x284
x371 = x148 * x16
x372 = x16 * x368
x373 = x125 * x245
x374 = x16 * x277
x375 = x288 * x325
x376 = x14 * x148
x377 = x14 * x284
x378 = x125 * x140
x379 = x14 * x288
x380 = x121 * x298
x381 = x331 * x47
x382 = x354 * x381
x383 = x163 * x265
x384 = x163 * x80
x385 = 2.0 * x384
x386 = x383 + x385
x387 = x386 * x53
x388 = x44 * x68
x389 = x310 * x388
x390 = x126 * x386
x391 = x101 * x309
x392 = x117 + x264
x393 = x1 * (x184 + x392)
x394 = x163 * x270
x395 = x393 + x394
x396 = x189 * x309
x397 = x28 * x386
x398 = x140 * x395
x399 = x101 * x28
x400 = x163 * x277
x401 = x286 + x400
x402 = x28 * x401
x403 = x16 * x390
x404 = x16 * x395
x405 = x140 * x71
x406 = x325 * x401
x407 = x163 * x288
x408 = x296 + x407
x409 = x16 * x189
x410 = x108 * x386
x411 = x14 * x410
x412 = x126 * x395
x413 = x14 * x412
x414 = x14 * x401
x415 = x408 * x47
x416 = x337 * x415
x417 = x5 * x51
x418 = 3.0 * x1 * (2.0 * x286 + x287 + x400)
x419 = x408 * x57 + x418
x420 = x381 * x53
x421 = x419 * x420
x422 = x1 * (x111 + 3.0 * x200) + x121 * x303
x423 = x1 * (3.0 * x24 + x25) + x308 * x4
x424 = x1 * (x154 + 3.0 * x204 + x303) + x121 * x314
x425 = x114 * x308
x426 = x1 * (3.0 * x146 + x227 + 2.0 * x312 + 2.0 * x313) + x121 * x318
x427 = x426 * x66
x428 = x304 * x73
x429 = x424 * x97
x430 = x304 * x99
x431 = x304 * x422
x432 = x121 * x323 + x329
x433 = x335 * x432
x434 = x426 * x57
x435 = x4 * x76
x436 = x334 * x435
x437 = x19 * x422
x438 = x1 * (7.0 * x228 + 3.0 * x229 + 4.0 * x322) + x121 * x330
x439 = x13 * x424
x440 = x119 * x13
x441 = x303 * x423
x442 = x108 * x165
x443 = x180 * x308
x444 = x303 * x308
x445 = x165 * x318
x446 = x136 * x304
x447 = x172 * x304
x448 = x303 * x304
x449 = x337 * x4
x450 = x163 * x323 * x333
x451 = x19 * x318
x452 = x19 * x314
x453 = x126 * x188
x454 = x19 * x453
x455 = x13 * x323
x456 = x13 * x318
x457 = x126 * x13
x458 = x188 * x457
x459 = x13 * x44
x460 = x459 * x53
x461 = x197 * x460
x462 = x201 * x423
x463 = x205 * x308
x464 = x136 * x201 * x308
x465 = x209 * x304
x466 = x205 * x214 * x304
x467 = x210 * x304
x468 = x201 * x277
x469 = x19 * x209
x470 = x19 * x284
x471 = x136 * x288
x472 = x19 * x201
x473 = x13 * x220
x474 = x13 * x278
x475 = x13 * x471
x476 = x201 * x298
x477 = x13 * x73
x478 = x123 * x423
x479 = x308 * x390
x480 = x308 * x412
x481 = x304 * x386
x482 = x125 * x395
x483 = x140 * x304
x484 = x123 * x401
x485 = x148 * x19
x486 = x19 * x398
x487 = x19 * x401
x488 = x121 * x4
x489 = x387 * x459
x490 = x395 * x457
x491 = x13 * x401
x492 = x125 * x408
x493 = x1 * (x117 + 3.0 * x264) + x163 * x386
x494 = x423 * x493
x495 = x108 * x493
x496 = x101 * x308
x497 = x1 * (x196 + 3.0 * x269 + x386) + x163 * x395
x498 = x308 * x497
x499 = x388 * x53
x500 = x304 * x493
x501 = x101 * x497
x502 = x1 * (3.0 * x186 + x295 + 2.0 * x393 + 2.0 * x394) + x163 * x401
x503 = x502 * x68
x504 = x19 * x495
x505 = x19 * x497
x506 = x502 * x51
x507 = x381 * x435
x508 = x163 * x408 + x418
x509 = x420 * x508
x510 = x112 * x493
x511 = x497 * x86
x512 = x13 * x502
x513 = x1 * (7.0 * x296 + 3.0 * x297 + 4.0 * x407) + x163 * x419
x514 = x1 * x52
x515 = x514 * x54
x516 = 0.006349206349206349 * x72
x517 = x1 * x48
x518 = x51 * x517
x519 = x1 * x75
x520 = x1 * x145
x521 = x1 * x69
x522 = x520 + 2.0 * x521
x523 = 0.01904761904761905 * x43
x524 = x523 * x76
x525 = x518 * x57
x526 = x524 * x525 * x94
x527 = x70 * x94
x528 = x1 * (x83 + 8.0 * x84) + x51 * x522
x529 = x110 * x522
x530 = x110 * x84
x531 = x516 * x81
x532 = x110 * x70
x533 = x1 * x41
x534 = x533 * x54
x535 = x301 + x84
x536 = x1 * x130
x537 = x1 * (x111 + x124)
x538 = x51 * x535
x539 = x537 + x538
x540 = x136 * x539
x541 = x64 * x70
x542 = x1 * (x134 + x302 + 4.0 * x84)
x543 = x51 * x539
x544 = x542 + x543
x545 = x539 * x93
x546 = x535 * x93
x547 = x70 * x93
x548 = 3.0 * x537
x549 = x1 * (x148 + x522 + 3.0 * x538 + x548) + x51 * x544
x550 = x544 * x97
x551 = x539 * x92
x552 = x107 * x535
x553 = x70 * x92
x554 = x1 * x163
x555 = 0.04444444444444445 * x135
x556 = x555 * x64
x557 = x48 * x554
x558 = x51 * x557
x559 = x522 * x93
x560 = x84 * x93
x561 = x139 * x43
x562 = 0.1333333333333333 * x561
x563 = x167 * x562
x564 = x165 * x528
x565 = x167 * x522
x566 = x84 * x92
x567 = x177 * x555
x568 = x188 * x70
x569 = x121 * x535
x570 = x537 + x569
x571 = x131 * x517
x572 = x32 * x555
x573 = x121 * x539
x574 = x542 + x573
x575 = x30 * x301
x576 = 0.2222222222222222 * x43
x577 = x576 * x81
x578 = 2.0 * x569
x579 = 4.0 * x537
x580 = 2.0 * x538 + x579
x581 = x1 * (x209 + x578 + x580)
x582 = x51 * x574
x583 = x581 + x582
x584 = x570 * x62
x585 = x301 * x62
x586 = x107 * x555
x587 = 2.0 * x543
x588 = 3.0 * x573
x589 = x1 * (x220 + 5.0 * x542 + x587 + x588)
x590 = x51 * x583
x591 = x589 + x590
x592 = x574 * x88
x593 = x570 * x88
x594 = x301 * x88
x595 = x202 * x554
x596 = x32 * x70
x597 = x30 * x70
x598 = x188 * x535
x599 = x30 * x84
x600 = x265 * x576
x601 = x522 * x62
x602 = x62 * x84
x603 = x281 * x576
x604 = x265 * x528
x605 = x270 * x522
x606 = x288 * x70
x607 = x1 * x311
x608 = x199 * x70
x609 = x607 + 2.0 * x608
x610 = x1 * (x205 + 4.0 * x301 + x85)
x611 = x121 * x570
x612 = x610 + x611
x613 = x309 * x609
x614 = x121 * x574
x615 = x581 + x614
x616 = x28 * x609
x617 = x121 * x583
x618 = x589 + x617
x619 = x16 * x612
x620 = x16 * x609
x621 = x1 * (x323 + 6.0 * x581 + 3.0 * x582 + 3.0 * x614)
x622 = x51 * x618
x623 = x621 + x622
x624 = x335 * x623
x625 = x57 * x618
x626 = x14 * x612
x627 = x121 * x557
x628 = x310 * x524 * x627
x629 = x309 * x570
x630 = x301 * x309
x631 = x28 * x301
x632 = x177 * x213
x633 = x576 * x632
x634 = x16 * x570
x635 = x188 * x301
x636 = x163 * x591
x637 = x14 * x583
x638 = x14 * x574
x639 = x197 * x354
x640 = x11 * x47
x641 = x523 * x640
x642 = x121 * x639 * x641
x643 = x310 * x70
x644 = x309 * x535
x645 = x309 * x70
x646 = x28 * x539
x647 = x265 * x544
x648 = x265 * x549
x649 = x14 * x544
x650 = x140 * x535
x651 = x11 * x99
x652 = x298 * x47
x653 = x5 * x652
x654 = x395 * x70
x655 = x140 * x28
x656 = x555 * x640
x657 = x417 * x656
x658 = x11 * x126
x659 = x415 * x658
x660 = x1 * (x300 + 8.0 * x301) + x121 * x609
x661 = x1 * (x314 + x548 + 3.0 * x569 + x609) + x121 * x612
x662 = 2.0 * x610 + 2.0 * x611
x663 = x1 * (x318 + 3.0 * x542 + x588 + x662) + x121 * x615
x664 = x304 * x660
x665 = x121 * x618 + x621
x666 = x335 * x665
x667 = x57 * x663
x668 = x19 * x660
x669 = x423 * x609
x670 = x308 * x609
x671 = x304 * x609
x672 = x333 * x618
x673 = x163 * x672
x674 = x19 * x615
x675 = x19 * x612
x676 = x13 * x618
x677 = x13 * x615
x678 = x301 * x423
x679 = x308 * x570
x680 = x301 * x308
x681 = x304 * x574
x682 = x281 * x570
x683 = x301 * x304
x684 = x19 * x574
x685 = x488 * x656
x686 = x13 * x583
x687 = x516 * x640
x688 = x386 * x70
x689 = x395 * x535
x690 = x401 * x70
x691 = x19 * x544
x692 = x108 * x11
x693 = x47 * x692
x694 = x419 * x693
x695 = x308 * x70
x696 = x435 * x497
x697 = x51 * x641 * x696
x698 = x47 * x502
x699 = x4 * x698
x700 = x508 * x693
x701 = x48 * x516
x702 = x1 * x185
x703 = x1 * x79
x704 = x702 + 2.0 * x703
x705 = x108 * x704
x706 = x108 * x80
x707 = x105 * x516
x708 = x1 * (x104 + 8.0 * x105) + x57 * x704
x709 = x44 * x708
x710 = x64 * x80
x711 = x140 * x80
x712 = x105 * x562
x713 = x126 * x704
x714 = x148 * x80
x715 = x105 * x555
x716 = x125 * x704
x717 = x53 * x709
x718 = x105 + x384
x719 = x126 * x718
x720 = x139 * x719
x721 = x117 + x166
x722 = x1 * x721
x723 = x57 * x718
x724 = x722 + x723
x725 = x136 * x724
x726 = x126 * x80
x727 = x140 * x724
x728 = x1 * (4.0 * x105 + x177 + x385)
x729 = x57 * x724
x730 = x728 + x729
x731 = x112 * x80
x732 = x718 * x86
x733 = x71 * x724
x734 = x101 * x730
x735 = 3.0 * x722
x736 = x1 * (x188 + x704 + 3.0 * x723 + x735) + x57 * x730
x737 = x214 * x80
x738 = x105 * x576
x739 = x209 * x737
x740 = x136 * x704
x741 = x220 * x80
x742 = x201 * x708
x743 = x32 * x80
x744 = x30 * x718
x745 = x214 * x724
x746 = x140 * x62
x747 = x245 * x718
x748 = x62 * x724
x749 = x125 * x730
x750 = x163 * x718
x751 = x722 + x750
x752 = x136 * x751
x753 = x384 * x576
x754 = x214 * x751
x755 = x163 * x724
x756 = x728 + x755
x757 = x210 * x756
x758 = x384 * x555
x759 = x213 * x751
x760 = x214 * x756
x761 = 2.0 * x750
x762 = 4.0 * x722
x763 = 2.0 * x723 + x762
x764 = x1 * (x277 + x761 + x763)
x765 = x57 * x756
x766 = x764 + x765
x767 = x751 * x86
x768 = x756 * x88
x769 = 2.0 * x729
x770 = 3.0 * x755
x771 = x1 * (x288 + 5.0 * x728 + x769 + x770)
x772 = x57 * x766
x773 = x771 + x772
x774 = x314 * x80
x775 = x318 * x80
x776 = x323 * x333
x777 = x658 * x776
x778 = x318 * x57
x779 = x11 * x338
x780 = x555 * x779
x781 = x230 * x338
x782 = x384 * x562
x783 = x140 * x751
x784 = x28 * x751
x785 = x16 * x751
x786 = x16 * x756
x787 = x123 * x766
x788 = x163 * x779
x789 = x155 * x524 * x788
x790 = x14 * x766
x791 = x121 * x773
x792 = x1 * x392
x793 = x263 * x80
x794 = x792 + 2.0 * x793
x795 = x53 * x794
x796 = x126 * x794
x797 = x1 * (x106 + x270 + 4.0 * x384)
x798 = x163 * x751
x799 = x797 + x798
x800 = x28 * x794
x801 = x140 * x799
x802 = x163 * x756
x803 = x764 + x802
x804 = x71 * x799
x805 = x101 * x803
x806 = x163 * x766
x807 = x771 + x806
x808 = x108 * x794
x809 = x126 * x799
x810 = x47 * x807
x811 = x1 * (x408 + 6.0 * x764 + 3.0 * x765 + 3.0 * x802)
x812 = x57 * x807
x813 = x811 + x812
x814 = x420 * x813
x815 = x11 * x333
x816 = x815 * x99
x817 = x4 * x426
x818 = x435 * x57 * x815
x819 = x424 * x523 * x818
x820 = x333 * x692
x821 = x432 * x820
x822 = x516 * x815
x823 = x19 * x730
x824 = x330 * x820
x825 = x201 * x756
x826 = x163 * x555 * x815
x827 = x13 * x766
x828 = x304 * x794
x829 = x125 * x799
x830 = x19 * x803
x831 = x121 * x810
x832 = x13 * x803
x833 = x1 * (x383 + 8.0 * x384) + x163 * x794
x834 = x108 * x833
x835 = x1 * (x395 + x735 + 3.0 * x750 + x794) + x163 * x799
x836 = x304 * x833
x837 = 2.0 * x797 + 2.0 * x798
x838 = x1 * (x401 + 3.0 * x728 + x770 + x837) + x163 * x803
x839 = x51 * x838
x840 = x163 * x807 + x811
x841 = x420 * x840
x842 = x306 + x90
x843 = x5 * x842
x844 = 2.0 * x843
x845 = x4 * x842
x846 = x15 + x25
x847 = x1 * x846
x848 = 4.0 * x847
x849 = 2.0 * x845 + x848
x850 = x1 * (x30 + x844 + x849)
x851 = x1 * (x28 + 4.0 * x306 + x91)
x852 = x845 + x847
x853 = x5 * x852
x854 = x851 + x853
x855 = x4 * x854
x856 = x850 + x855
x857 = x4 * x856
x858 = x5 * x856
x859 = x4 * x852
x860 = 2.0 * x859
x861 = 3.0 * x853
x862 = x1 * (x32 + 5.0 * x851 + x860 + x861)
x863 = x5 * x854
x864 = x1 * (x40 + 6.0 * x850 + 3.0 * x855 + 3.0 * x863)
x865 = x858 + x862
x866 = x4 * x865
x867 = x864 + x866
x868 = x5 * x865 + x864
x869 = x54 * x868
x870 = x1 * (x307 + x62 + 4.0 * x90)
x871 = x843 + x847
x872 = x5 * x871
x873 = 2.0 * x870 + 2.0 * x872
x874 = x850 + x863
x875 = x1 * (x64 + 3.0 * x851 + x861 + x873) + x5 * x874
x876 = x57 * x875
x877 = 3.0 * x847
x878 = x1 * x60
x879 = x12 * x58
x880 = x878 + 2.0 * x879
x881 = x870 + x872
x882 = x1 * (3.0 * x843 + x877 + x880 + x93) + x5 * x881
x883 = x1 * (x89 + 8.0 * x90) + x5 * x880
x884 = x86 * x883
x885 = x71 * x883
x886 = x101 * x883
x887 = x68 * x883
x888 = x54 * x867
x889 = x48 * x865
x890 = x126 * x889
x891 = x66 * x874
x892 = x125 * x874
x893 = x125 * x881
x894 = x123 * x881
x895 = x108 * x880
x896 = x126 * x880
x897 = x134 * x880
x898 = x163 * x51
x899 = x68 * x865
x900 = x101 * x874
x901 = x68 * x874
x902 = x86 * x881
x903 = x71 * x881
x904 = x857 + x862
x905 = x201 * x856
x906 = x205 * x854
x907 = x201 * x854
x908 = x209 * x871
x909 = x205 * x871
x910 = x201 * x871
x911 = x11 * x516
x912 = x209 * x90
x913 = x205 * x90
x914 = x516 * x90
x915 = x121 * x904
x916 = x125 * x856
x917 = x123 * x856
x918 = x134 * x854
x919 = x125 * x854
x920 = x123 * x854
x921 = x134 * x871
x922 = x125 * x871
x923 = x123 * x871
x924 = x148 * x90
x925 = x134 * x90
x926 = x68 * x856
x927 = x71 * x854
x928 = x101 * x854
x929 = x68 * x854
x930 = x86 * x871
x931 = x281 * x871
x932 = x101 * x871
x933 = x277 * x71
x934 = x1 * x26
x935 = x12 * x23
x936 = x934 + 2.0 * x935
x937 = x851 + x859
x938 = x1 * (x309 + 3.0 * x845 + x877 + x936) + x4 * x937
x939 = x303 * x937
x940 = x314 * x852
x941 = x303 * x852
x942 = x314 * x842
x943 = x303 * x842
x944 = x12 * x318
x945 = x12 * x314
x946 = x12 * x303
x947 = x201 * x99
x948 = x201 * x937
x949 = x209 * x852
x950 = x205 * x852
x951 = x201 * x852
x952 = x209 * x842
x953 = x205 * x842
x954 = x12 * x220
x955 = x12 * x209
x956 = x12 * x205
x957 = x125 * x937
x958 = x134 * x852
x959 = x125 * x852
x960 = x123 * x852
x961 = x148 * x842
x962 = x134 * x842
x963 = x277 * x842
x964 = x140 * x842
x965 = x12 * x155
x966 = x12 * x148
x967 = x12 * x134
x968 = x12 * x378
x969 = x640 * x99
x970 = x101 * x937
x971 = x386 * x852
x972 = x101 * x852
x973 = x842 * x86
x974 = x395 * x842
x975 = x112 * x12
x976 = x12 * x86
x977 = x12 * x401
x978 = x1 * (x305 + 8.0 * x306) + x4 * x936
x979 = x422 * x936
x980 = x306 * x422
x981 = x12 * x424
x982 = x12 * x422
x983 = x303 * x978
x984 = x303 * x936
x985 = x318 * x4
x986 = x306 * x314
x987 = x303 * x306
x988 = x201 * x978
x989 = x205 * x936
x990 = x201 * x936
x991 = x209 * x306
x992 = x205 * x306
x993 = x12 * x201
x994 = x123 * x978
x995 = x125 * x936
x996 = x134 * x306
x997 = x101 * x936
x998 = x493 * x71
x999 = 0.01649572197684645 * x43
x1000 = x53 * x999
x1001 = x1000 * x517
x1002 = x1001 * x868
x1003 = 0.0109971479845643 * x72
x1004 = x518 * x875
x1005 = x76 * x999
x1006 = x517 * x876
x1007 = x66 * x999
x1008 = x1007 * x53
x1009 = 0.0329914439536929 * x43
x1010 = x1009 * x76
x1011 = x1010 * x525 * x882
x1012 = x1005 * x70
x1013 = x1000 * x883
x1014 = x1003 * x81
x1015 = x107 * x70
x1016 = x1001 * x867
x1017 = 0.1154700538379251 * x43
x1018 = x1017 * x535
x1019 = x1017 * x889
x1020 = x1 * x1019
x1021 = 0.03849001794597505 * x135
x1022 = x1021 * x539
x1023 = x1018 * x139
x1024 = x1021 * x81
x1025 = x70 * x874
x1026 = x1017 * x66
x1027 = x1017 * x881
x1028 = x1027 * x139
x1029 = x139 * x81
x1030 = x1017 * x880
x1031 = x1000 * x880
x1032 = 0.0769800358919501 * x135
x1033 = x1032 * x874
x1034 = x1017 * x139
x1035 = x1034 * x167
x1036 = 0.2309401076758503 * x561
x1037 = x1036 * x167
x1038 = x177 * x70
x1039 = x1032 * x84
x1040 = x517 * x915
x1041 = x1021 * x66
x1042 = x1032 * x856
x1043 = 0.1924500897298752 * x43
x1044 = x1043 * x574
x1045 = x1043 * x213
x1046 = x1045 * x570
x1047 = 0.3849001794597505 * x43
x1048 = x1047 * x81
x1049 = x1045 * x871
x1050 = x1032 * x107
x1051 = x591 * x779
x1052 = x1032 * x583
x1053 = x57 * x779
x1054 = x10 * x47
x1055 = x0 ** (-2.0)
x1056 = 0.0219942959691286 * x1055 * x72
x1057 = x1054 * x1056
x1058 = x557 * x904
x1059 = x70 * x856
x1060 = x1045 * x539
x1061 = 0.5773502691896257 * x43
x1062 = x1061 * x167
x1063 = x1034 * x871
x1064 = x1061 * x177
x1065 = x1010 * x549 * x788
x1066 = x1047 * x632
x1067 = x1036 * x90
x1068 = x1055 * x43
x1069 = 0.0329914439536929 * x1068
x1070 = x1054 * x1069
x1071 = x1021 * x265
x1072 = x1047 * x265
x1073 = x1047 * x84
x1074 = x277 * x70
x1075 = x1003 * x90
x1076 = x1032 * x90
x1077 = 0.7698003589195009 * x1068
x1078 = x1054 * x1077 * x277
x1079 = x1032 * x1055
x1080 = x1054 * x1079
x1081 = x1080 * x288
x1082 = x1017 * x937
x1083 = x1021 * x852
x1084 = x1034 * x852
x1085 = x1017 * x842
x1086 = x1085 * x139
x1087 = x1000 * x815
x1088 = x1087 * x623
x1089 = x1017 * x12
x1090 = x1089 * x612
x1091 = x1000 * x12
x1092 = x1010 * x627 * x938
x1093 = x139 * x570
x1094 = x1045 * x574
x1095 = x1005 * x815
x1096 = x139 * x583
x1097 = x1089 * x167
x1098 = x1089 * x188
x1099 = x1070 * x76
x1100 = x139 * x270
x1101 = x1061 * x270
x1102 = x1061 * x535
x1103 = x1005 * x12
x1104 = x1089 * x544
x1105 = x12 * x277
x1106 = x1005 * x1055
x1107 = x10 * x1106
x1108 = x1036 * x84
x1109 = x387 * x999
x1110 = x1089 * x395
x1111 = x1080 * x401
x1112 = x1017 * x1055
x1113 = x10 * x1112
x1114 = x1113 * x415
x1115 = x1000 * x936
x1116 = x4 * x663
x1117 = x1003 * x815
x1118 = x1009 * x661 * x818
x1119 = x1087 * x665
x1120 = x1017 * x936
x1121 = x1032 * x615
x1122 = x163 * x4 * x815
x1123 = x1032 * x306
x1124 = x1017 * x11
x1125 = x139 * x615
x1126 = x1047 * x306
x1127 = x1036 * x306
x1128 = x139 * x539
x1129 = x1106 * x48
x1130 = x48 * x51
x1131 = x1069 * x76
x1132 = x1131 * x94
x1133 = x48 * x57
x1134 = x1000 * x80
x1135 = x1056 * x57
x1136 = x1000 * x704
x1137 = x1112 * x129
x1138 = x1079 * x64
x1139 = x1017 * x80
x1140 = x1139 * x139
x1141 = x1036 * x105
x1142 = x1017 * x704
x1143 = x1017 * x92
x1144 = x544 * x80
x1145 = x1032 * x105
x1146 = x708 * x999
x1147 = x1146 * x53
x1148 = x1017 * x718
x1149 = x1148 * x139
x1150 = x1036 * x718
x1151 = x1034 * x724
x1152 = x1032 * x724
x1153 = x70 * x730
x1154 = x121 * x48
x1155 = x1079 * x32
x1156 = x30 * x80
x1157 = x1077 * x30 * x48
x1158 = x1094 * x80
x1159 = x1047 * x105
x1160 = x1159 * x213
x1161 = x1032 * x704
x1162 = x80 * x88
x1163 = x1021 * x704
x1164 = x1045 * x724
x1165 = x1034 * x62
x1166 = x1061 * x718
x1167 = x163 * x48
x1168 = x1043 * x759
x1169 = x1032 * x384
x1170 = x1047 * x759
x1171 = x1045 * x756
x1172 = x1171 * x70
x1173 = x1003 * x384
x1174 = x1021 * x751
x1175 = x1021 * x766
x1176 = x1139 * x612
x1177 = x139 * x28
x1178 = x1139 * x16
x1179 = x1131 * x310
x1180 = x1047 * x213 * x724
x1181 = x1061 * x724
x1182 = x1036 * x16
x1183 = x1017 * x730
x1184 = x1009 * x640
x1185 = x1184 * x121 * x354 * x736
x1186 = x1036 * x384
x1187 = x1034 * x751
x1188 = x1047 * x384
x1189 = x1188 * x213
x1190 = x1034 * x16 * x70
x1191 = x1005 * x640
x1192 = x5 * x773
x1193 = x1017 * x794
x1194 = x1017 * x799
x1195 = x795 * x999
x1196 = x1032 * x640
x1197 = x1196 * x417
x1198 = x1124 * x810
x1199 = x304 * x80
x1200 = x1003 * x105
x1201 = x13 * x999
x1202 = x1201 * x53
x1203 = x1021 * x724
x1204 = x1017 * x13
x1205 = x1056 * x163
x1206 = x1047 * x756
x1207 = x1196 * x488
x1208 = x1003 * x640
x1209 = x1021 * x803
x1210 = x1000 * x640
x1211 = x1210 * x813
x1212 = x1000 * x833
x1213 = x1184 * x435 * x51 * x835
x1214 = x4 * x838
x1215 = x1210 * x840
x1216 = 0.5 * x45
x1217 = 2.0 * x851
x1218 = x1 * x25 * (x4 + x5)
x1219 = x5 * x847
x1220 = x4 * x847
x1221 = x1 * (x1217 + 4.0 * x1218 + 2.0 * x1219 + 2.0 * x1220 + 2.0 * x853)
x1222 = 3.0 * x1055
x1223 = x1222 * x13
x1224 = x1223 + x935
x1225 = x1 * (x1224 + x849)
x1226 = x1218 + x1220
x1227 = x1226 * x5
x1228 = x1225 + x1227
x1229 = x1228 * x4
x1230 = x1221 + x1229
x1231 = x1230 * x4
x1232 = x1230 * x5
x1233 = x1226 * x4
x1234 = 3.0 * x1227 + 2.0 * x850
x1235 = x1 * (5.0 * x1225 + 2.0 * x1233 + x1234 + 2.0 * x855)
x1236 = x1228 * x5
x1237 = x1 * (6.0 * x1221 + 3.0 * x1229 + 3.0 * x1236 + 2.0 * x858 + 2.0 * x862)
x1238 = x1232 + x1235
x1239 = x1237 + x1238 * x4
x1240 = x47 * (
x1 * (3.0 * x1231 + 4.0 * x1232 + 7.0 * x1235 + 2.0 * x864 + 2.0 * x866)
+ x1239 * x5
)
x1241 = 0.009523809523809524 * x43
x1242 = x1237 + x1238 * x5
x1243 = x1216 * x47
x1244 = x1242 * x1243
x1245 = x1241 * x53
x1246 = x1222 * x68
x1247 = x1246 + x521
x1248 = 0.5 * x1247
x1249 = 0.5 * x66
x1250 = x1223 + x879
x1251 = x1 * (x1250 + x844 + x848)
x1252 = x1218 + x1219
x1253 = x1252 * x5
x1254 = x1221 + x1236
x1255 = (
x1 * (3.0 * x1225 + x1234 + 2.0 * x1251 + 2.0 * x1253 + 2.0 * x863) + x1254 * x5
)
x1256 = 0.003174603174603175 * x72
x1257 = x1243 * x51
x1258 = x1255 * x57
x1259 = x1241 * x76
x1260 = 0.5 * x81
x1261 = x1255 * x68
x1262 = x1222 * x66
x1263 = x1262 + x703
x1264 = x65 * x70
x1265 = 6.0 * x1055
x1266 = x101 * x1265 + x1247 * x51
x1267 = x1266 * x94
x1268 = 3.0 * x1218
x1269 = x1250 * x5 + x1265 * x14
x1270 = x1251 + x1253
x1271 = x1 * (x1268 + x1269 + x5 * x877 + x873) + x1270 * x5
x1272 = 0.5 * x97
x1273 = x101 * x1271
x1274 = x84 * x94
x1275 = 0.5 * x107
x1276 = x1271 * x68
x1277 = x1263 * x57 + x1265 * x97
x1278 = 9.0 * x1055
x1279 = x1278 * x68
x1280 = x1 * (x1279 + 2.0 * x520 + 7.0 * x521) + x1266 * x51
x1281 = x110 * x1280
x1282 = x1278 * x13
x1283 = x1 * (x1282 + 2.0 * x878 + 7.0 * x879) + x1269 * x5
x1284 = x110 * x1266
x1285 = x110 * x1247
x1286 = x101 * x1283
x1287 = 0.5 * x118
x1288 = x1283 * x68
x1289 = x1278 * x66
x1290 = x1 * (x1289 + 2.0 * x702 + 7.0 * x703) + x1277 * x57
x1291 = x1239 * x1243
x1292 = x1238 * x125
x1293 = x40 * x537
x1294 = 0.06666666666666667 * x43
x1295 = x121 * x1238
x1296 = x1 * x111 * (x121 + x51)
x1297 = x51 * x537
x1298 = x1296 + x1297
x1299 = x1298 * x64
x1300 = 0.02222222222222222 * x135
x1301 = x125 * x1254
x1302 = x537 * x64
x1303 = x1294 * x139
x1304 = x123 * x1254
x1305 = x301 * x64
x1306 = x1 * (x1247 + x580)
x1307 = x1298 * x51
x1308 = x1306 + x1307
x1309 = x1308 * x93
x1310 = x1298 * x93
x1311 = x125 * x1270
x1312 = x537 * x93
x1313 = x123 * x1270
x1314 = x301 * x93
x1315 = 0.5 * x1269
x1316 = 2.0 * x542
x1317 = 3.0 * x1296
x1318 = x1 * (x1266 + x1316 + x1317 + x51 * x548 + x587) + x1308 * x51
x1319 = x1318 * x92
x1320 = x1308 * x92
x1321 = x1298 * x92
x1322 = x537 * x92
x1323 = x301 * x92
x1324 = x1238 * x163
x1325 = 0.5 * x167
x1326 = x1238 * x68
x1327 = x40 * x70
x1328 = 0.5 * x165
x1329 = x101 * x1254
x1330 = x64 * x84
x1331 = 0.5 * x177
x1332 = x1254 * x68
x1333 = x1 * x117 * (x163 + x57)
x1334 = x57 * x722
x1335 = x1333 + x1334
x1336 = x1266 * x93
x1337 = x1247 * x93
x1338 = x101 * x1270
x1339 = 0.5 * x188
x1340 = x1270 * x68
x1341 = x1 * (x1263 + x763)
x1342 = x1335 * x57
x1343 = x1341 + x1342
x1344 = x1280 * x92
x1345 = x1266 * x92
x1346 = x1247 * x92
x1347 = 2.0 * x728
x1348 = 3.0 * x1333
x1349 = x1 * (x1277 + x1347 + x1348 + x57 * x735 + x769) + x1343 * x57
x1350 = 0.5 * x70
x1351 = x197 * x92
x1352 = x1246 + x608
x1353 = x1352 * x202
x1354 = x1231 + x1235
x1355 = x1230 * x205
x1356 = x121 * x537
x1357 = x1296 + x1356
x1358 = x1357 * x32
x1359 = x1352 * x32
x1360 = x121 * x1298
x1361 = x1306 + x1360
x1362 = x1361 * x30
x1363 = 0.1111111111111111 * x43
x1364 = x1357 * x30
x1365 = x1363 * x213
x1366 = x1352 * x30
x1367 = x1 * (4.0 * x1296 + 2.0 * x1297 + x1316 + 2.0 * x1356 + 2.0 * x573)
x1368 = x1361 * x51
x1369 = x1367 + x1368
x1370 = x1369 * x62
x1371 = x1361 * x62
x1372 = x1357 * x62
x1373 = x1352 * x62
x1374 = 0.5 * x1250
x1375 = 3.0 * x1360 + 2.0 * x581
x1376 = x1 * (5.0 * x1306 + 2.0 * x1307 + x1375 + 2.0 * x582)
x1377 = x1369 * x51
x1378 = x1376 + x1377
x1379 = x1378 * x88
x1380 = x1369 * x88
x1381 = x1250 * x209
x1382 = x1361 * x88
x1383 = x1250 * x205
x1384 = x1357 * x88
x1385 = x1352 * x88
x1386 = x1354 * x163
x1387 = x1230 * x125
x1388 = x32 * x537
x1389 = x123 * x1230
x1390 = x301 * x32
x1391 = x1298 * x30
x1392 = x1228 * x125
x1393 = x30 * x537
x1394 = 0.3333333333333333 * x43
x1395 = x1228 * x123
x1396 = x1308 * x62
x1397 = x1298 * x62
x1398 = x125 * x1252
x1399 = x537 * x62
x1400 = x123 * x1252
x1401 = x1318 * x88
x1402 = x1250 * x148
x1403 = x1308 * x88
x1404 = x1250 * x134
x1405 = x1298 * x88
x1406 = x537 * x88
x1407 = 0.5 * x197
x1408 = 0.5 * x265
x1409 = x1354 * x68
x1410 = x1262 + x793
x1411 = x202 * x70
x1412 = x101 * x1230
x1413 = x32 * x84
x1414 = 0.5 * x270
x1415 = x1230 * x68
x1416 = x163 * x722
x1417 = x1333 + x1416
x1418 = x1247 * x30
x1419 = x101 * x1228
x1420 = 0.5 * x277
x1421 = x1228 * x68
x1422 = x1335 * x163
x1423 = x1341 + x1422
x1424 = x1266 * x62
x1425 = x1247 * x62
x1426 = x101 * x1252
x1427 = 0.5 * x68
x1428 = x1252 * x288
x1429 = x1 * (4.0 * x1333 + 2.0 * x1334 + x1347 + 2.0 * x1416 + 2.0 * x755)
x1430 = x1423 * x57
x1431 = x1429 + x1430
x1432 = x1280 * x88
x1433 = x1266 * x88
x1434 = 0.5 * x288
x1435 = x84 * x88
x1436 = 3.0 * x1422 + 2.0 * x764
x1437 = x1 * (5.0 * x1341 + 2.0 * x1342 + x1436 + 2.0 * x765)
x1438 = x1431 * x57
x1439 = x1437 + x1438
x1440 = x298 * x88
x1441 = x121 * x1352 + x123 * x1265
x1442 = x1441 * x310
x1443 = x1224 * x4 + x1265 * x19
x1444 = x1225 + x1233
x1445 = x1 * (x1217 + x1268 + x1443 + x4 * x877 + x860) + x1444 * x4
x1446 = x1445 * x303
x1447 = x1444 * x314
x1448 = x1 * (x1352 + x578 + x579)
x1449 = x121 * x1357
x1450 = x1448 + x1449
x1451 = x1450 * x309
x1452 = x1441 * x309
x1453 = x1444 * x303
x1454 = x121 * x1361
x1455 = x1367 + x1454
x1456 = x1455 * x28
x1457 = x1226 * x318
x1458 = x1450 * x28
x1459 = x1226 * x314
x1460 = x1441 * x28
x1461 = x1226 * x303
x1462 = 0.5 * x16
x1463 = x121 * x1369
x1464 = x1376 + x1463
x1465 = x1464 * x66
x1466 = x1455 * x97
x1467 = x1450 * x16
x1468 = x1441 * x16
x1469 = x1 * (6.0 * x1367 + 3.0 * x1368 + 3.0 * x1454 + 2.0 * x589 + 2.0 * x617)
x1470 = x1464 * x51 + x1469
x1471 = x1216 * x332
x1472 = x10 * x1471
x1473 = x1470 * x1472
x1474 = x1472 * x5
x1475 = x1464 * x57
x1476 = x14 * x1455
x1477 = x14 * x1450
x1478 = x14 * x1441
x1479 = x1352 * x310
x1480 = x1444 * x205
x1481 = x1357 * x309
x1482 = x1352 * x309
x1483 = x1361 * x28
x1484 = x1226 * x209
x1485 = x1357 * x28
x1486 = x1226 * x205
x1487 = x1352 * x28
x1488 = x1369 * x165
x1489 = x1361 * x16
x1490 = x1357 * x16
x1491 = x1352 * x188
x1492 = x1378 * x163
x1493 = x1369 * x14
x1494 = x1361 * x14
x1495 = x1357 * x14
x1496 = x1352 * x14
x1497 = x123 * x1445
x1498 = x301 * x310
x1499 = x125 * x1444
x1500 = x309 * x537
x1501 = x123 * x1444
x1502 = x1298 * x28
x1503 = x1226 * x125
x1504 = x28 * x537
x1505 = x1226 * x123
x1506 = x1308 * x16
x1507 = x1298 * x16
x1508 = x277 * x537
x1509 = x288 * x301
x1510 = x1318 * x14
x1511 = x1308 * x14
x1512 = x1298 * x14
x1513 = x125 * x90
x1514 = x14 * x537
x1515 = 1.0 * x47
x1516 = x10 * x1515
x1517 = x1516 * x5
x1518 = x11 * x1515
x1519 = x1518 * x5
x1520 = 0.5 * x386
x1521 = x1445 * x68
x1522 = x1265 * x165 + x1410 * x163
x1523 = x101 * x1444
x1524 = x309 * x84
x1525 = 0.5 * x395
x1526 = x1444 * x68
x1527 = x1 * (x1410 + x761 + x762)
x1528 = x1417 * x163
x1529 = x1527 + x1528
x1530 = x101 * x1226
x1531 = x28 * x84
x1532 = x1226 * x401
x1533 = x1423 * x163
x1534 = x1429 + x1533
x1535 = x1266 * x386
x1536 = x401 * x84
x1537 = 0.5 * x401
x1538 = x1431 * x163
x1539 = x1437 + x1538
x1540 = x408 * x70
x1541 = x1280 * x14
x1542 = x1266 * x14
x1543 = x71 * x90
x1544 = x1 * (6.0 * x1429 + 3.0 * x1430 + 3.0 * x1533 + 2.0 * x771 + 2.0 * x806)
x1545 = x1539 * x57 + x1544
x1546 = x1516 * x1545
x1547 = x1518 * x419
x1548 = x1 * (x1282 + 2.0 * x934 + 7.0 * x935) + x1443 * x4
x1549 = x1548 * x422
x1550 = x1 * (x1279 + 2.0 * x607 + 7.0 * x608) + x121 * x1441
x1551 = x1550 * x423
x1552 = x1443 * x424
x1553 = x1 * (x121 * x548 + x1317 + x1441 + x662) + x121 * x1450
x1554 = x1553 * x308
x1555 = x1443 * x422
x1556 = x1550 * x308
x1557 = 0.5 * x1224
x1558 = (
x1 * (3.0 * x1306 + x1375 + 2.0 * x1448 + 2.0 * x1449 + 2.0 * x614) + x121 * x1455
)
x1559 = x1558 * x304
x1560 = x1553 * x304
x1561 = x1224 * x422
x1562 = x1550 * x304
x1563 = x121 * x1464 + x1469
x1564 = x1472 * x1563
x1565 = x1472 * x4
x1566 = x1558 * x57
x1567 = x1553 * x19
x1568 = x1550 * x19
x1569 = x10 * (
x1 * (7.0 * x1376 + 3.0 * x1377 + 4.0 * x1463 + 2.0 * x621 + 2.0 * x622)
+ x121 * x1470
)
x1570 = x13 * x1558
x1571 = x13 * x1553
x1572 = x13 * x1550
x1573 = x1441 * x423
x1574 = x1548 * x303
x1575 = x1443 * x314
x1576 = x1450 * x308
x1577 = x1443 * x303
x1578 = x1441 * x308
x1579 = x1455 * x304
x1580 = x1224 * x314
x1581 = x1450 * x304
x1582 = x1224 * x303
x1583 = x1441 * x304
x1584 = x1464 * x163
x1585 = x1455 * x19
x1586 = x1450 * x19
x1587 = x1441 * x19
x1588 = x13 * x1464
x1589 = x13 * x1455
x1590 = x13 * x1450
x1591 = 0.5 * x13
x1592 = x1441 * x197
x1593 = x1352 * x423
x1594 = x1443 * x205
x1595 = x1357 * x308
x1596 = x1352 * x308
x1597 = x1224 * x209
x1598 = x1361 * x304
x1599 = x1224 * x205
x1600 = x1357 * x304
x1601 = x1224 * x201
x1602 = x1352 * x304
x1603 = x1369 * x19
x1604 = x1361 * x19
x1605 = x1357 * x19
x1606 = x1352 * x19
x1607 = x13 * x1378
x1608 = x13 * x1369
x1609 = x13 * x1361
x1610 = x1357 * x288
x1611 = x1352 * x298
x1612 = 0.5 * x12
x1613 = x123 * x1548
x1614 = x125 * x1443
x1615 = x308 * x537
x1616 = x123 * x1443
x1617 = x1224 * x134
x1618 = x1298 * x304
x1619 = x304 * x537
x1620 = x1308 * x19
x1621 = x1298 * x19
x1622 = x125 * x306
x1623 = x19 * x537
x1624 = x1516 * x4
x1625 = x1518 * x4
x1626 = x13 * x1318
x1627 = x13 * x1308
x1628 = x1298 * x401
x1629 = x408 * x537
x1630 = x1548 * x493
x1631 = x1 * (x1289 + 2.0 * x792 + 7.0 * x793) + x1522 * x163
x1632 = 0.5 * x493
x1633 = x101 * x1443
x1634 = x308 * x84
x1635 = x1443 * x497
x1636 = x1 * (x1348 + x1522 + x163 * x735 + x837) + x1529 * x163
x1637 = 0.5 * x497
x1638 = x304 * x84
x1639 = (
x1 * (3.0 * x1341 + x1436 + 2.0 * x1527 + 2.0 * x1528 + 2.0 * x802) + x1534 * x163
)
x1640 = x304 * x502
x1641 = x1266 * x19
x1642 = x306 * x71
x1643 = x1516 * (x1539 * x163 + x1544)
x1644 = x1518 * x508
x1645 = x1280 * x493
x1646 = x1266 * x497
x1647 = x71 * x80
x1648 = x68 * x999
x1649 = x1648 * x53
x1650 = x1017 * x68
x1651 = x1045 * x80
x1652 = x10 * x338
x1653 = x1079 * x220
x1654 = x1077 * x209
x1655 = x1183 * x139
x1656 = x1131 * x155
x1657 = x1113 * x776
x1658 = x10 * x333
x1659 = x1079 * x1658
x1660 = x1082 * x139
x1661 = x1107 * x333
x1662 = x1061 * x751
x1663 = x163 * x1658
x1664 = x1089 * x139
x1665 = x125 * x1664
x1666 = x1658 * x424
x1667 = 0.8660254037844386 * x45
x1668 = x1667 * x47
x1669 = x1242 * x1668
x1670 = x1668 * x514
x1671 = 0.8660254037844386 * x1247
x1672 = x1668 * x51
x1673 = 0.8660254037844386 * x81
x1674 = 0.8660254037844386 * x66
x1675 = 0.8660254037844386 * x107
x1676 = 0.8660254037844386 * x97
x1677 = 0.8660254037844386 * x118
x1678 = x1239 * x1668
x1679 = x121 * x1668
x1680 = x1 * x40
x1681 = 0.8660254037844386 * x1269
x1682 = 0.8660254037844386 * x167
x1683 = 0.8660254037844386 * x177
x1684 = 0.8660254037844386 * x165
x1685 = 0.8660254037844386 * x188
x1686 = 0.8660254037844386 * x70
x1687 = 0.8660254037844386 * x1250
x1688 = 0.8660254037844386 * x197
x1689 = 0.8660254037844386 * x265
x1690 = 0.8660254037844386 * x270
x1691 = 0.8660254037844386 * x277
x1692 = 0.8660254037844386 * x68
x1693 = 0.8660254037844386 * x288
x1694 = 0.8660254037844386 * x16
x1695 = x1667 * x332
x1696 = x10 * x1695
x1697 = x1470 * x1696
x1698 = x1696 * x5
x1699 = 0.8660254037844386 * x386
x1700 = 0.8660254037844386 * x395
x1701 = 0.8660254037844386 * x1224
x1702 = x1563 * x1696
x1703 = x1696 * x4
x1704 = 0.8660254037844386 * x13
x1705 = 0.8660254037844386 * x401
x1706 = 0.8660254037844386 * x493
# 2025 item(s)
result[0, 0, 0] = x42 * x49
result[0, 0, 1] = x51 * x55
result[0, 0, 2] = x55 * x57
result[0, 0, 3] = x67 * x74
result[0, 0, 4] = x75 * x78
result[0, 0, 5] = x65 * x68 * x82
result[0, 0, 6] = x86 * x94 * x96
result[0, 0, 7] = x100 * x98
result[0, 0, 8] = x101 * x102 * x94
result[0, 0, 9] = x103 * x109
result[0, 0, 10] = x110 * x112 * x95
result[0, 0, 11] = x113 * x114
result[0, 0, 12] = x115 * x82
result[0, 0, 13] = x109 * x116
result[0, 0, 14] = x119 * x120
result[0, 1, 0] = x121 * x122
result[0, 1, 1] = x125 * x128
result[0, 1, 2] = x130 * x131
result[0, 1, 3] = x137 * x138
result[0, 1, 4] = x125 * x142
result[0, 1, 5] = x123 * x143 * x64
result[0, 1, 6] = x127 * x148 * x93
result[0, 1, 7] = x141 * x149
result[0, 1, 8] = x150 * x151
result[0, 1, 9] = x152 * x153
result[0, 1, 10] = x156 * x157
result[0, 1, 11] = x158 * x159
result[0, 1, 12] = x143 * x160
result[0, 1, 13] = x158 * x161
result[0, 1, 14] = x157 * x162
result[0, 2, 0] = x122 * x163
result[0, 2, 1] = x163 * x164
result[0, 2, 2] = x168 * x169
result[0, 2, 3] = x170 * x171
result[0, 2, 4] = x172 * x173
result[0, 2, 5] = x174 * x178
result[0, 2, 6] = x179 * x180
result[0, 2, 7] = x172 * x181
result[0, 2, 8] = x182 * x183
result[0, 2, 9] = x188 * x190
result[0, 2, 10] = x157 * x191
result[0, 2, 11] = x158 * x192
result[0, 2, 12] = x193 * x194
result[0, 2, 13] = x158 * x195
result[0, 2, 14] = x157 * x198
result[0, 3, 0] = x201 * x202 * x203
result[0, 3, 1] = x205 * x206 * x32
result[0, 3, 2] = x207 * x97
result[0, 3, 3] = x209 * x211 * x30
result[0, 3, 4] = x212 * x215
result[0, 3, 5] = x216 * x217
result[0, 3, 6] = x220 * x221
result[0, 3, 7] = x209 * x222
result[0, 3, 8] = x223 * x224
result[0, 3, 9] = x225 * x226
result[0, 3, 10] = x231 * x232
result[0, 3, 11] = x233 * x234
result[0, 3, 12] = x217 * x235
result[0, 3, 13] = x226 * x236
result[0, 3, 14] = x232 * x237
result[0, 4, 0] = x163 * x239
result[0, 4, 1] = x125 * x241
result[0, 4, 2] = x172 * x242
result[0, 4, 3] = x243 * x244
result[0, 4, 4] = x125 * x247
result[0, 4, 5] = x248 * x249
result[0, 4, 6] = x148 * x250
result[0, 4, 7] = x134 * x251
result[0, 4, 8] = x125 * x253
result[0, 4, 9] = x123 * x255
result[0, 4, 10] = x256 * x257
result[0, 4, 11] = x148 * x258
result[0, 4, 12] = x134 * x259
result[0, 4, 13] = x260 * x261
result[0, 4, 14] = x257 * x262
result[0, 5, 0] = x202 * x266 * x68
result[0, 5, 1] = x101 * x267 * x32
result[0, 5, 2] = x268 * x271
result[0, 5, 3] = x272 * x273
result[0, 5, 4] = x274 * x275
result[0, 5, 5] = x278 * x279
result[0, 5, 6] = x267 * x280
result[0, 5, 7] = x281 * x283
result[0, 5, 8] = x101 * x285
result[0, 5, 9] = x289 * x290
result[0, 5, 10] = x232 * x291
result[0, 5, 11] = x233 * x292
result[0, 5, 12] = x282 * x293
result[0, 5, 13] = x233 * x294
result[0, 5, 14] = x232 * x299
result[0, 6, 0] = x303 * x310 * x96
result[0, 6, 1] = x127 * x309 * x314
result[0, 6, 2] = x315 * x316
result[0, 6, 3] = x318 * x319
result[0, 6, 4] = x314 * x320
result[0, 6, 5] = x143 * x321
result[0, 6, 6] = x323 * x324
result[0, 6, 7] = x318 * x326
result[0, 6, 8] = x151 * x327
result[0, 6, 9] = x152 * x328
result[0, 6, 10] = x330 * x335 * x5
result[0, 6, 11] = x336 * x339
result[0, 6, 12] = x14 * x143 * x318
result[0, 6, 13] = x152 * x340
result[0, 6, 14] = x303 * x342
result[0, 7, 0] = x165 * x343
result[0, 7, 1] = x240 * x344
result[0, 7, 2] = x172 * x345
result[0, 7, 3] = x209 * x346
result[0, 7, 4] = x205 * x347
result[0, 7, 5] = x248 * x348
result[0, 7, 6] = x220 * x349
result[0, 7, 7] = x209 * x350
result[0, 7, 8] = x252 * x351
result[0, 7, 9] = x188 * x352
result[0, 7, 10] = x353 * x355
result[0, 7, 11] = x172 * x356
result[0, 7, 12] = x248 * x357
result[0, 7, 13] = x205 * x358
result[0, 7, 14] = x197 * x360
result[0, 8, 0] = x123 * x310 * x361
result[0, 8, 1] = x362 * x363
result[0, 8, 2] = x364 * x365
result[0, 8, 3] = x366 * x367
result[0, 8, 4] = x125 * x369
result[0, 8, 5] = x123 * x370
result[0, 8, 6] = x363 * x371
result[0, 8, 7] = x134 * x372
result[0, 8, 8] = x373 * x374
result[0, 8, 9] = x123 * x375
result[0, 8, 10] = x14 * x155 * x361
result[0, 8, 11] = x365 * x376
result[0, 8, 12] = x134 * x377
result[0, 8, 13] = x378 * x379
result[0, 8, 14] = x380 * x382
result[0, 9, 0] = x387 * x389
result[0, 9, 1] = x390 * x391
result[0, 9, 2] = x395 * x396
result[0, 9, 3] = x170 * x397
result[0, 9, 4] = x398 * x399
result[0, 9, 5] = x290 * x402
result[0, 9, 6] = x403 * x86
result[0, 9, 7] = x404 * x405
result[0, 9, 8] = x101 * x406
result[0, 9, 9] = x408 * x409
result[0, 9, 10] = x112 * x411
result[0, 9, 11] = x413 * x86
result[0, 9, 12] = x170 * x414
result[0, 9, 13] = x416 * x417
result[0, 9, 14] = x421 * x5
result[0, 10, 0] = x422 * x423 * x95
result[0, 10, 1] = x308 * x424 * x96
result[0, 10, 2] = x422 * x425
result[0, 10, 3] = x427 * x428
result[0, 10, 4] = x429 * x430
result[0, 10, 5] = x431 * x82
result[0, 10, 6] = x4 * x433
result[0, 10, 7] = x434 * x436
result[0, 10, 8] = x102 * x19 * x424
result[0, 10, 9] = x109 * x437
result[0, 10, 10] = x334 * x438
result[0, 10, 11] = x433 * x57
result[0, 10, 12] = x13 * x426 * x82
result[0, 10, 13] = x109 * x439
result[0, 10, 14] = x422 * x440
result[0, 11, 0] = x441 * x442
result[0, 11, 1] = x314 * x443
result[0, 11, 2] = x168 * x444
result[0, 11, 3] = x445 * x446
result[0, 11, 4] = x314 * x447
result[0, 11, 5] = x178 * x448
result[0, 11, 6] = x449 * x450
result[0, 11, 7] = x172 * x451
result[0, 11, 8] = x183 * x452
result[0, 11, 9] = x303 * x454
result[0, 11, 10] = x163 * x330 * x335
result[0, 11, 11] = x168 * x455
result[0, 11, 12] = x178 * x456
result[0, 11, 13] = x314 * x458
result[0, 11, 14] = x303 * x461
result[0, 12, 0] = x266 * x462
result[0, 12, 1] = x267 * x463
result[0, 12, 2] = x270 * x464
result[0, 12, 3] = x273 * x465
result[0, 12, 4] = x270 * x466
result[0, 12, 5] = x467 * x468
result[0, 12, 6] = x19 * x220 * x267
result[0, 12, 7] = x275 * x469
result[0, 12, 8] = x205 * x470
result[0, 12, 9] = x471 * x472
result[0, 12, 10] = x13 * x230 * x266
result[0, 12, 11] = x271 * x473
result[0, 12, 12] = x209 * x474
result[0, 12, 13] = x205 * x475
result[0, 12, 14] = x476 * x477
result[0, 13, 0] = x410 * x478
result[0, 13, 1] = x125 * x479
result[0, 13, 2] = x123 * x480
result[0, 13, 3] = x137 * x481
result[0, 13, 4] = x482 * x483
result[0, 13, 5] = x446 * x484
result[0, 13, 6] = x390 * x485
result[0, 13, 7] = x134 * x486
result[0, 13, 8] = x378 * x487
result[0, 13, 9] = x416 * x488
result[0, 13, 10] = x155 * x489
result[0, 13, 11] = x148 * x490
result[0, 13, 12] = x137 * x491
result[0, 13, 13] = x457 * x492
result[0, 13, 14] = x121 * x421
result[0, 14, 0] = x388 * x494
result[0, 14, 1] = x495 * x496
result[0, 14, 2] = x498 * x499
result[0, 14, 3] = x500 * x74
result[0, 14, 4] = x430 * x501
result[0, 14, 5] = x428 * x503
result[0, 14, 6] = x504 * x86
result[0, 14, 7] = x100 * x505
result[0, 14, 8] = x506 * x507
result[0, 14, 9] = x4 * x509
result[0, 14, 10] = x459 * x510
result[0, 14, 11] = x460 * x511
result[0, 14, 12] = x512 * x74
result[0, 14, 13] = x509 * x51
result[0, 14, 14] = x381 * x513
result[1, 0, 0] = 0
result[1, 0, 1] = x515
result[1, 0, 2] = 0
result[1, 0, 3] = x516 * x518 * x65
result[1, 0, 4] = x519 * x77
result[1, 0, 5] = 0
result[1, 0, 6] = x522 * x94 * x96
result[1, 0, 7] = x526
result[1, 0, 8] = x102 * x527
result[1, 0, 9] = 0
result[1, 0, 10] = x110 * x528 * x95
result[1, 0, 11] = x114 * x529
result[1, 0, 12] = x530 * x531
result[1, 0, 13] = x109 * x532
result[1, 0, 14] = 0
result[1, 1, 0] = x534
result[1, 1, 1] = x128 * x535
result[1, 1, 2] = x536 * x57
result[1, 1, 3] = x138 * x540
result[1, 1, 4] = x142 * x535
result[1, 1, 5] = x143 * x541
result[1, 1, 6] = x127 * x544 * x93
result[1, 1, 7] = x141 * x545
result[1, 1, 8] = x151 * x546
result[1, 1, 9] = x152 * x547
result[1, 1, 10] = x549 * x92 * x96
result[1, 1, 11] = x158 * x550
result[1, 1, 12] = x143 * x551
result[1, 1, 13] = x158 * x552
result[1, 1, 14] = x341 * x553
result[1, 2, 0] = 0
result[1, 2, 1] = x130 * x554
result[1, 2, 2] = 0
result[1, 2, 3] = x556 * x558
result[1, 2, 4] = x172 * x541
result[1, 2, 5] = 0
result[1, 2, 6] = x180 * x559
result[1, 2, 7] = x560 * x563
result[1, 2, 8] = x183 * x547
result[1, 2, 9] = 0
result[1, 2, 10] = x157 * x564
result[1, 2, 11] = x158 * x565
result[1, 2, 12] = x566 * x567
result[1, 2, 13] = x158 * x568
result[1, 2, 14] = 0
result[1, 3, 0] = x238 * x516 * x517
result[1, 3, 1] = x206 * x32 * x570
result[1, 3, 2] = x571 * x572
result[1, 3, 3] = x211 * x30 * x574
result[1, 3, 4] = x215 * x30 * x570
result[1, 3, 5] = x575 * x577
result[1, 3, 6] = x221 * x583
result[1, 3, 7] = x222 * x574
result[1, 3, 8] = x224 * x584
result[1, 3, 9] = x585 * x586
result[1, 3, 10] = x232 * x591 * x66
result[1, 3, 11] = x233 * x583 * x97
result[1, 3, 12] = x217 * x592
result[1, 3, 13] = x226 * x593
result[1, 3, 14] = x118 * x516 * x594
result[1, 4, 0] = x595 * x77
result[1, 4, 1] = x241 * x535
result[1, 4, 2] = x172 * x596
result[1, 4, 3] = x244 * x30 * x539
result[1, 4, 4] = x247 * x535
result[1, 4, 5] = x248 * x597
result[1, 4, 6] = x250 * x544
result[1, 4, 7] = x251 * x539
result[1, 4, 8] = x253 * x535
result[1, 4, 9] = x255 * x70
result[1, 4, 10] = x165 * x257 * x549
result[1, 4, 11] = x258 * x544
result[1, 4, 12] = x259 * x539
result[1, 4, 13] = x261 * x598
result[1, 4, 14] = x197 * x257 * x70
result[1, 5, 0] = 0
result[1, 5, 1] = x267 * x596
result[1, 5, 2] = 0
result[1, 5, 3] = x599 * x600
result[1, 5, 4] = x275 * x597
result[1, 5, 5] = 0
result[1, 5, 6] = x267 * x601
result[1, 5, 7] = x602 * x603
result[1, 5, 8] = x285 * x70
result[1, 5, 9] = 0
result[1, 5, 10] = x232 * x604
result[1, 5, 11] = x233 * x605
result[1, 5, 12] = x293 * x576 * x84
result[1, 5, 13] = x233 * x606
result[1, 5, 14] = 0
result[1, 6, 0] = x310 * x609 * x96
result[1, 6, 1] = x127 * x309 * x612
result[1, 6, 2] = x316 * x613
result[1, 6, 3] = x319 * x615
result[1, 6, 4] = x320 * x612
result[1, 6, 5] = x143 * x616
result[1, 6, 6] = x324 * x618
result[1, 6, 7] = x326 * x615
result[1, 6, 8] = x151 * x619
result[1, 6, 9] = x152 * x620
result[1, 6, 10] = x5 * x624
result[1, 6, 11] = x339 * x625
result[1, 6, 12] = x14 * x143 * x615
result[1, 6, 13] = x152 * x626
result[1, 6, 14] = x342 * x609
result[1, 7, 0] = x628
result[1, 7, 1] = x240 * x629
result[1, 7, 2] = x563 * x630
result[1, 7, 3] = x346 * x574
result[1, 7, 4] = x347 * x570
result[1, 7, 5] = x631 * x633
result[1, 7, 6] = x349 * x583
result[1, 7, 7] = x350 * x574
result[1, 7, 8] = x252 * x634
result[1, 7, 9] = x16 * x562 * x635
result[1, 7, 10] = x355 * x636
result[1, 7, 11] = x172 * x637
result[1, 7, 12] = x248 * x638
result[1, 7, 13] = x358 * x570
result[1, 7, 14] = x642
result[1, 8, 0] = x361 * x643
result[1, 8, 1] = x363 * x644
result[1, 8, 2] = x365 * x645
result[1, 8, 3] = x367 * x646
result[1,