1 /* This is a 5-point algorithm contributed to OpenCV by the author, Bo Li.
2 It implements the 5-point algorithm solver from Nister's paper:
3 Nister, An efficient solution to the five-point relative pose problem, PAMI, 2004.
6 /* Copyright (c) 2013, Bo Li (prclibo@gmail.com), ETH Zurich
9 Redistribution and use in source and binary forms, with or without
10 modification, are permitted provided that the following conditions are met:
11 * Redistributions of source code must retain the above copyright
12 notice, this list of conditions and the following disclaimer.
13 * Redistributions in binary form must reproduce the above copyright
14 notice, this list of conditions and the following disclaimer in the
15 documentation and/or other materials provided with the distribution.
16 * Neither the name of the copyright holder nor the
17 names of its contributors may be used to endorse or promote products
18 derived from this software without specific prior written permission.
20 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
21 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
22 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
23 DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE FOR ANY
24 DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
25 (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
26 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
27 ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
28 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
29 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
32 #include "precomp.hpp"
37 class EMEstimatorCallback CV_FINAL : public PointSetRegistrator::Callback
40 int runKernel( InputArray _m1, InputArray _m2, OutputArray _model ) const CV_OVERRIDE
42 Mat q1 = _m1.getMat(), q2 = _m2.getMat();
43 Mat Q1 = q1.reshape(1, (int)q1.total());
44 Mat Q2 = q2.reshape(1, (int)q2.total());
48 Q.col(0) = Q1.col(0).mul( Q2.col(0) );
49 Q.col(1) = Q1.col(1).mul( Q2.col(0) );
50 Q.col(2) = Q2.col(0) * 1.0;
51 Q.col(3) = Q1.col(0).mul( Q2.col(1) );
52 Q.col(4) = Q1.col(1).mul( Q2.col(1) );
53 Q.col(5) = Q2.col(1) * 1.0;
54 Q.col(6) = Q1.col(0) * 1.0;
55 Q.col(7) = Q1.col(1) * 1.0;
59 SVD::compute(Q, W, U, Vt, SVD::MODIFY_A | SVD::FULL_UV);
61 Mat EE = Mat(Vt.t()).colRange(5, 9) * 1.0;
62 Mat A(10, 20, CV_64F);
64 getCoeffMat(EE.ptr<double>(), A.ptr<double>());
67 A = A.colRange(0, 10).inv() * A.colRange(10, 20);
70 Mat B(3, 13, CV_64F, b);
71 for (int i = 0; i < 3; i++)
73 Mat arow1 = A.row(i * 2 + 4) * 1.0;
74 Mat arow2 = A.row(i * 2 + 5) * 1.0;
75 Mat row1(1, 13, CV_64F, Scalar(0.0));
76 Mat row2(1, 13, CV_64F, Scalar(0.0));
78 row1.colRange(1, 4) = arow1.colRange(0, 3) * 1.0;
79 row1.colRange(5, 8) = arow1.colRange(3, 6) * 1.0;
80 row1.colRange(9, 13) = arow1.colRange(6, 10) * 1.0;
82 row2.colRange(0, 3) = arow2.colRange(0, 3) * 1.0;
83 row2.colRange(4, 7) = arow2.colRange(3, 6) * 1.0;
84 row2.colRange(8, 12) = arow2.colRange(6, 10) * 1.0;
86 B.row(i) = row1 - row2;
90 Mat coeffs(1, 11, CV_64F, c);
91 c[10] = (b[0]*b[17]*b[34]+b[26]*b[4]*b[21]-b[26]*b[17]*b[8]-b[13]*b[4]*b[34]-b[0]*b[21]*b[30]+b[13]*b[30]*b[8]);
92 c[9] = (b[26]*b[4]*b[22]+b[14]*b[30]*b[8]+b[13]*b[31]*b[8]+b[1]*b[17]*b[34]-b[13]*b[5]*b[34]+b[26]*b[5]*b[21]-b[0]*b[21]*b[31]-b[26]*b[17]*b[9]-b[1]*b[21]*b[30]+b[27]*b[4]*b[21]+b[0]*b[17]*b[35]-b[0]*b[22]*b[30]+b[13]*b[30]*b[9]+b[0]*b[18]*b[34]-b[27]*b[17]*b[8]-b[14]*b[4]*b[34]-b[13]*b[4]*b[35]-b[26]*b[18]*b[8]);
93 c[8] = (b[14]*b[30]*b[9]+b[14]*b[31]*b[8]+b[13]*b[31]*b[9]-b[13]*b[4]*b[36]-b[13]*b[5]*b[35]+b[15]*b[30]*b[8]-b[13]*b[6]*b[34]+b[13]*b[30]*b[10]+b[13]*b[32]*b[8]-b[14]*b[4]*b[35]-b[14]*b[5]*b[34]+b[26]*b[4]*b[23]+b[26]*b[5]*b[22]+b[26]*b[6]*b[21]-b[26]*b[17]*b[10]-b[15]*b[4]*b[34]-b[26]*b[18]*b[9]-b[26]*b[19]*b[8]+b[27]*b[4]*b[22]+b[27]*b[5]*b[21]-b[27]*b[17]*b[9]-b[27]*b[18]*b[8]-b[1]*b[21]*b[31]-b[0]*b[23]*b[30]-b[0]*b[21]*b[32]+b[28]*b[4]*b[21]-b[28]*b[17]*b[8]+b[2]*b[17]*b[34]+b[0]*b[18]*b[35]-b[0]*b[22]*b[31]+b[0]*b[17]*b[36]+b[0]*b[19]*b[34]-b[1]*b[22]*b[30]+b[1]*b[18]*b[34]+b[1]*b[17]*b[35]-b[2]*b[21]*b[30]);
94 c[7] = (b[14]*b[30]*b[10]+b[14]*b[32]*b[8]-b[3]*b[21]*b[30]+b[3]*b[17]*b[34]+b[13]*b[32]*b[9]+b[13]*b[33]*b[8]-b[13]*b[4]*b[37]-b[13]*b[5]*b[36]+b[15]*b[30]*b[9]+b[15]*b[31]*b[8]-b[16]*b[4]*b[34]-b[13]*b[6]*b[35]-b[13]*b[7]*b[34]+b[13]*b[30]*b[11]+b[13]*b[31]*b[10]+b[14]*b[31]*b[9]-b[14]*b[4]*b[36]-b[14]*b[5]*b[35]-b[14]*b[6]*b[34]+b[16]*b[30]*b[8]-b[26]*b[20]*b[8]+b[26]*b[4]*b[24]+b[26]*b[5]*b[23]+b[26]*b[6]*b[22]+b[26]*b[7]*b[21]-b[26]*b[17]*b[11]-b[15]*b[4]*b[35]-b[15]*b[5]*b[34]-b[26]*b[18]*b[10]-b[26]*b[19]*b[9]+b[27]*b[4]*b[23]+b[27]*b[5]*b[22]+b[27]*b[6]*b[21]-b[27]*b[17]*b[10]-b[27]*b[18]*b[9]-b[27]*b[19]*b[8]+b[0]*b[17]*b[37]-b[0]*b[23]*b[31]-b[0]*b[24]*b[30]-b[0]*b[21]*b[33]-b[29]*b[17]*b[8]+b[28]*b[4]*b[22]+b[28]*b[5]*b[21]-b[28]*b[17]*b[9]-b[28]*b[18]*b[8]+b[29]*b[4]*b[21]+b[1]*b[19]*b[34]-b[2]*b[21]*b[31]+b[0]*b[20]*b[34]+b[0]*b[19]*b[35]+b[0]*b[18]*b[36]-b[0]*b[22]*b[32]-b[1]*b[23]*b[30]-b[1]*b[21]*b[32]+b[1]*b[18]*b[35]-b[1]*b[22]*b[31]-b[2]*b[22]*b[30]+b[2]*b[17]*b[35]+b[1]*b[17]*b[36]+b[2]*b[18]*b[34]);
95 c[6] = (-b[14]*b[6]*b[35]-b[14]*b[7]*b[34]-b[3]*b[22]*b[30]-b[3]*b[21]*b[31]+b[3]*b[17]*b[35]+b[3]*b[18]*b[34]+b[13]*b[32]*b[10]+b[13]*b[33]*b[9]-b[13]*b[4]*b[38]-b[13]*b[5]*b[37]-b[15]*b[6]*b[34]+b[15]*b[30]*b[10]+b[15]*b[32]*b[8]-b[16]*b[4]*b[35]-b[13]*b[6]*b[36]-b[13]*b[7]*b[35]+b[13]*b[31]*b[11]+b[13]*b[30]*b[12]+b[14]*b[32]*b[9]+b[14]*b[33]*b[8]-b[14]*b[4]*b[37]-b[14]*b[5]*b[36]+b[16]*b[30]*b[9]+b[16]*b[31]*b[8]-b[26]*b[20]*b[9]+b[26]*b[4]*b[25]+b[26]*b[5]*b[24]+b[26]*b[6]*b[23]+b[26]*b[7]*b[22]-b[26]*b[17]*b[12]+b[14]*b[30]*b[11]+b[14]*b[31]*b[10]+b[15]*b[31]*b[9]-b[15]*b[4]*b[36]-b[15]*b[5]*b[35]-b[26]*b[18]*b[11]-b[26]*b[19]*b[10]-b[27]*b[20]*b[8]+b[27]*b[4]*b[24]+b[27]*b[5]*b[23]+b[27]*b[6]*b[22]+b[27]*b[7]*b[21]-b[27]*b[17]*b[11]-b[27]*b[18]*b[10]-b[27]*b[19]*b[9]-b[16]*b[5]*b[34]-b[29]*b[17]*b[9]-b[29]*b[18]*b[8]+b[28]*b[4]*b[23]+b[28]*b[5]*b[22]+b[28]*b[6]*b[21]-b[28]*b[17]*b[10]-b[28]*b[18]*b[9]-b[28]*b[19]*b[8]+b[29]*b[4]*b[22]+b[29]*b[5]*b[21]-b[2]*b[23]*b[30]+b[2]*b[18]*b[35]-b[1]*b[22]*b[32]-b[2]*b[21]*b[32]+b[2]*b[19]*b[34]+b[0]*b[19]*b[36]-b[0]*b[22]*b[33]+b[0]*b[20]*b[35]-b[0]*b[23]*b[32]-b[0]*b[25]*b[30]+b[0]*b[17]*b[38]+b[0]*b[18]*b[37]-b[0]*b[24]*b[31]+b[1]*b[17]*b[37]-b[1]*b[23]*b[31]-b[1]*b[24]*b[30]-b[1]*b[21]*b[33]+b[1]*b[20]*b[34]+b[1]*b[19]*b[35]+b[1]*b[18]*b[36]+b[2]*b[17]*b[36]-b[2]*b[22]*b[31]);
96 c[5] = (-b[14]*b[6]*b[36]-b[14]*b[7]*b[35]+b[14]*b[31]*b[11]-b[3]*b[23]*b[30]-b[3]*b[21]*b[32]+b[3]*b[18]*b[35]-b[3]*b[22]*b[31]+b[3]*b[17]*b[36]+b[3]*b[19]*b[34]+b[13]*b[32]*b[11]+b[13]*b[33]*b[10]-b[13]*b[5]*b[38]-b[15]*b[6]*b[35]-b[15]*b[7]*b[34]+b[15]*b[30]*b[11]+b[15]*b[31]*b[10]+b[16]*b[31]*b[9]-b[13]*b[6]*b[37]-b[13]*b[7]*b[36]+b[13]*b[31]*b[12]+b[14]*b[32]*b[10]+b[14]*b[33]*b[9]-b[14]*b[4]*b[38]-b[14]*b[5]*b[37]-b[16]*b[6]*b[34]+b[16]*b[30]*b[10]+b[16]*b[32]*b[8]-b[26]*b[20]*b[10]+b[26]*b[5]*b[25]+b[26]*b[6]*b[24]+b[26]*b[7]*b[23]+b[14]*b[30]*b[12]+b[15]*b[32]*b[9]+b[15]*b[33]*b[8]-b[15]*b[4]*b[37]-b[15]*b[5]*b[36]+b[29]*b[5]*b[22]+b[29]*b[6]*b[21]-b[26]*b[18]*b[12]-b[26]*b[19]*b[11]-b[27]*b[20]*b[9]+b[27]*b[4]*b[25]+b[27]*b[5]*b[24]+b[27]*b[6]*b[23]+b[27]*b[7]*b[22]-b[27]*b[17]*b[12]-b[27]*b[18]*b[11]-b[27]*b[19]*b[10]-b[28]*b[20]*b[8]-b[16]*b[4]*b[36]-b[16]*b[5]*b[35]-b[29]*b[17]*b[10]-b[29]*b[18]*b[9]-b[29]*b[19]*b[8]+b[28]*b[4]*b[24]+b[28]*b[5]*b[23]+b[28]*b[6]*b[22]+b[28]*b[7]*b[21]-b[28]*b[17]*b[11]-b[28]*b[18]*b[10]-b[28]*b[19]*b[9]+b[29]*b[4]*b[23]-b[2]*b[22]*b[32]-b[2]*b[21]*b[33]-b[1]*b[24]*b[31]+b[0]*b[18]*b[38]-b[0]*b[24]*b[32]+b[0]*b[19]*b[37]+b[0]*b[20]*b[36]-b[0]*b[25]*b[31]-b[0]*b[23]*b[33]+b[1]*b[19]*b[36]-b[1]*b[22]*b[33]+b[1]*b[20]*b[35]+b[2]*b[19]*b[35]-b[2]*b[24]*b[30]-b[2]*b[23]*b[31]+b[2]*b[20]*b[34]+b[2]*b[17]*b[37]-b[1]*b[25]*b[30]+b[1]*b[18]*b[37]+b[1]*b[17]*b[38]-b[1]*b[23]*b[32]+b[2]*b[18]*b[36]);
97 c[4] = (-b[14]*b[6]*b[37]-b[14]*b[7]*b[36]+b[14]*b[31]*b[12]+b[3]*b[17]*b[37]-b[3]*b[23]*b[31]-b[3]*b[24]*b[30]-b[3]*b[21]*b[33]+b[3]*b[20]*b[34]+b[3]*b[19]*b[35]+b[3]*b[18]*b[36]-b[3]*b[22]*b[32]+b[13]*b[32]*b[12]+b[13]*b[33]*b[11]-b[15]*b[6]*b[36]-b[15]*b[7]*b[35]+b[15]*b[31]*b[11]+b[15]*b[30]*b[12]+b[16]*b[32]*b[9]+b[16]*b[33]*b[8]-b[13]*b[6]*b[38]-b[13]*b[7]*b[37]+b[14]*b[32]*b[11]+b[14]*b[33]*b[10]-b[14]*b[5]*b[38]-b[16]*b[6]*b[35]-b[16]*b[7]*b[34]+b[16]*b[30]*b[11]+b[16]*b[31]*b[10]-b[26]*b[19]*b[12]-b[26]*b[20]*b[11]+b[26]*b[6]*b[25]+b[26]*b[7]*b[24]+b[15]*b[32]*b[10]+b[15]*b[33]*b[9]-b[15]*b[4]*b[38]-b[15]*b[5]*b[37]+b[29]*b[5]*b[23]+b[29]*b[6]*b[22]+b[29]*b[7]*b[21]-b[27]*b[20]*b[10]+b[27]*b[5]*b[25]+b[27]*b[6]*b[24]+b[27]*b[7]*b[23]-b[27]*b[18]*b[12]-b[27]*b[19]*b[11]-b[28]*b[20]*b[9]-b[16]*b[4]*b[37]-b[16]*b[5]*b[36]+b[0]*b[19]*b[38]-b[0]*b[24]*b[33]+b[0]*b[20]*b[37]-b[29]*b[17]*b[11]-b[29]*b[18]*b[10]-b[29]*b[19]*b[9]+b[28]*b[4]*b[25]+b[28]*b[5]*b[24]+b[28]*b[6]*b[23]+b[28]*b[7]*b[22]-b[28]*b[17]*b[12]-b[28]*b[18]*b[11]-b[28]*b[19]*b[10]-b[29]*b[20]*b[8]+b[29]*b[4]*b[24]+b[2]*b[18]*b[37]-b[0]*b[25]*b[32]+b[1]*b[18]*b[38]-b[1]*b[24]*b[32]+b[1]*b[19]*b[37]+b[1]*b[20]*b[36]-b[1]*b[25]*b[31]+b[2]*b[17]*b[38]+b[2]*b[19]*b[36]-b[2]*b[24]*b[31]-b[2]*b[22]*b[33]-b[2]*b[23]*b[32]+b[2]*b[20]*b[35]-b[1]*b[23]*b[33]-b[2]*b[25]*b[30]);
98 c[3] = (-b[14]*b[6]*b[38]-b[14]*b[7]*b[37]+b[3]*b[19]*b[36]-b[3]*b[22]*b[33]+b[3]*b[20]*b[35]-b[3]*b[23]*b[32]-b[3]*b[25]*b[30]+b[3]*b[17]*b[38]+b[3]*b[18]*b[37]-b[3]*b[24]*b[31]-b[15]*b[6]*b[37]-b[15]*b[7]*b[36]+b[15]*b[31]*b[12]+b[16]*b[32]*b[10]+b[16]*b[33]*b[9]+b[13]*b[33]*b[12]-b[13]*b[7]*b[38]+b[14]*b[32]*b[12]+b[14]*b[33]*b[11]-b[16]*b[6]*b[36]-b[16]*b[7]*b[35]+b[16]*b[31]*b[11]+b[16]*b[30]*b[12]+b[15]*b[32]*b[11]+b[15]*b[33]*b[10]-b[15]*b[5]*b[38]+b[29]*b[5]*b[24]+b[29]*b[6]*b[23]-b[26]*b[20]*b[12]+b[26]*b[7]*b[25]-b[27]*b[19]*b[12]-b[27]*b[20]*b[11]+b[27]*b[6]*b[25]+b[27]*b[7]*b[24]-b[28]*b[20]*b[10]-b[16]*b[4]*b[38]-b[16]*b[5]*b[37]+b[29]*b[7]*b[22]-b[29]*b[17]*b[12]-b[29]*b[18]*b[11]-b[29]*b[19]*b[10]+b[28]*b[5]*b[25]+b[28]*b[6]*b[24]+b[28]*b[7]*b[23]-b[28]*b[18]*b[12]-b[28]*b[19]*b[11]-b[29]*b[20]*b[9]+b[29]*b[4]*b[25]-b[2]*b[24]*b[32]+b[0]*b[20]*b[38]-b[0]*b[25]*b[33]+b[1]*b[19]*b[38]-b[1]*b[24]*b[33]+b[1]*b[20]*b[37]-b[2]*b[25]*b[31]+b[2]*b[20]*b[36]-b[1]*b[25]*b[32]+b[2]*b[19]*b[37]+b[2]*b[18]*b[38]-b[2]*b[23]*b[33]);
99 c[2] = (b[3]*b[18]*b[38]-b[3]*b[24]*b[32]+b[3]*b[19]*b[37]+b[3]*b[20]*b[36]-b[3]*b[25]*b[31]-b[3]*b[23]*b[33]-b[15]*b[6]*b[38]-b[15]*b[7]*b[37]+b[16]*b[32]*b[11]+b[16]*b[33]*b[10]-b[16]*b[5]*b[38]-b[16]*b[6]*b[37]-b[16]*b[7]*b[36]+b[16]*b[31]*b[12]+b[14]*b[33]*b[12]-b[14]*b[7]*b[38]+b[15]*b[32]*b[12]+b[15]*b[33]*b[11]+b[29]*b[5]*b[25]+b[29]*b[6]*b[24]-b[27]*b[20]*b[12]+b[27]*b[7]*b[25]-b[28]*b[19]*b[12]-b[28]*b[20]*b[11]+b[29]*b[7]*b[23]-b[29]*b[18]*b[12]-b[29]*b[19]*b[11]+b[28]*b[6]*b[25]+b[28]*b[7]*b[24]-b[29]*b[20]*b[10]+b[2]*b[19]*b[38]-b[1]*b[25]*b[33]+b[2]*b[20]*b[37]-b[2]*b[24]*b[33]-b[2]*b[25]*b[32]+b[1]*b[20]*b[38]);
100 c[1] = (b[29]*b[7]*b[24]-b[29]*b[20]*b[11]+b[2]*b[20]*b[38]-b[2]*b[25]*b[33]-b[28]*b[20]*b[12]+b[28]*b[7]*b[25]-b[29]*b[19]*b[12]-b[3]*b[24]*b[33]+b[15]*b[33]*b[12]+b[3]*b[19]*b[38]-b[16]*b[6]*b[38]+b[3]*b[20]*b[37]+b[16]*b[32]*b[12]+b[29]*b[6]*b[25]-b[16]*b[7]*b[37]-b[3]*b[25]*b[32]-b[15]*b[7]*b[38]+b[16]*b[33]*b[11]);
101 c[0] = -b[29]*b[20]*b[12]+b[29]*b[7]*b[25]+b[16]*b[33]*b[12]-b[16]*b[7]*b[38]+b[3]*b[20]*b[38]-b[3]*b[25]*b[33];
103 std::vector<Complex<double> > roots;
104 solvePoly(coeffs, roots);
106 std::vector<double> xs, ys, zs;
109 Mat ematrix(10*3, 3, CV_64F);
110 double* e = ematrix.ptr<double>();
111 for (size_t i = 0; i < roots.size(); i++)
113 if (fabs(roots[i].im) > 1e-10) continue;
114 double z1 = roots[i].re;
120 for (int j = 0; j < 3; j++)
122 const double * br = b + j * 13;
123 bz[j][0] = br[0] * z3 + br[1] * z2 + br[2] * z1 + br[3];
124 bz[j][1] = br[4] * z3 + br[5] * z2 + br[6] * z1 + br[7];
125 bz[j][2] = br[8] * z4 + br[9] * z3 + br[10] * z2 + br[11] * z1 + br[12];
128 Mat Bz(3, 3, CV_64F, bz);
130 SVD::solveZ(Bz, xy1);
132 if (fabs(xy1.at<double>(2)) < 1e-10) continue;
133 xs.push_back(xy1.at<double>(0) / xy1.at<double>(2));
134 ys.push_back(xy1.at<double>(1) / xy1.at<double>(2));
137 cv::Mat Evec = EE.col(0) * xs.back() + EE.col(1) * ys.back() + EE.col(2) * zs.back() + EE.col(3);
140 memcpy(e + count * 9, Evec.ptr(), 9 * sizeof(double));
144 ematrix.rowRange(0, count*3).copyTo(_model);
149 void getCoeffMat(double *e, double *A) const
151 double ep2[36], ep3[36];
152 for (int i = 0; i < 36; i++)
154 ep2[i] = e[i] * e[i];
155 ep3[i] = ep2[i] * e[i];
158 A[0]=e[33]*e[28]*e[32]-e[33]*e[31]*e[29]+e[30]*e[34]*e[29]-e[30]*e[28]*e[35]-e[27]*e[32]*e[34]+e[27]*e[31]*e[35];
159 A[146]=.5000000000*e[6]*ep2[8]-.5000000000*e[6]*ep2[5]+.5000000000*ep3[6]+.5000000000*e[6]*ep2[7]-.5000000000*e[6]*ep2[4]+e[0]*e[2]*e[8]+e[3]*e[4]*e[7]+e[3]*e[5]*e[8]+e[0]*e[1]*e[7]-.5000000000*e[6]*ep2[1]-.5000000000*e[6]*ep2[2]+.5000000000*ep2[0]*e[6]+.5000000000*ep2[3]*e[6];
160 A[1]=e[30]*e[34]*e[2]+e[33]*e[1]*e[32]-e[3]*e[28]*e[35]+e[0]*e[31]*e[35]+e[3]*e[34]*e[29]-e[30]*e[1]*e[35]+e[27]*e[31]*e[8]-e[27]*e[32]*e[7]-e[30]*e[28]*e[8]-e[33]*e[31]*e[2]-e[0]*e[32]*e[34]+e[6]*e[28]*e[32]-e[33]*e[4]*e[29]+e[33]*e[28]*e[5]+e[30]*e[7]*e[29]+e[27]*e[4]*e[35]-e[27]*e[5]*e[34]-e[6]*e[31]*e[29];
161 A[147]=e[9]*e[27]*e[15]+e[9]*e[29]*e[17]+e[9]*e[11]*e[35]+e[9]*e[28]*e[16]+e[9]*e[10]*e[34]+e[27]*e[11]*e[17]+e[27]*e[10]*e[16]+e[12]*e[30]*e[15]+e[12]*e[32]*e[17]+e[12]*e[14]*e[35]+e[12]*e[31]*e[16]+e[12]*e[13]*e[34]+e[30]*e[14]*e[17]+e[30]*e[13]*e[16]+e[15]*e[35]*e[17]+e[15]*e[34]*e[16]-1.*e[15]*e[28]*e[10]-1.*e[15]*e[31]*e[13]-1.*e[15]*e[32]*e[14]-1.*e[15]*e[29]*e[11]+.5000000000*ep2[9]*e[33]+.5000000000*e[33]*ep2[16]-.5000000000*e[33]*ep2[11]+.5000000000*e[33]*ep2[12]+1.500000000*e[33]*ep2[15]+.5000000000*e[33]*ep2[17]-.5000000000*e[33]*ep2[10]-.5000000000*e[33]*ep2[14]-.5000000000*e[33]*ep2[13];
162 A[2]=-e[33]*e[22]*e[29]-e[33]*e[31]*e[20]-e[27]*e[32]*e[25]+e[27]*e[22]*e[35]-e[27]*e[23]*e[34]+e[27]*e[31]*e[26]+e[33]*e[28]*e[23]-e[21]*e[28]*e[35]+e[30]*e[25]*e[29]+e[24]*e[28]*e[32]-e[24]*e[31]*e[29]+e[18]*e[31]*e[35]-e[30]*e[28]*e[26]-e[30]*e[19]*e[35]+e[21]*e[34]*e[29]+e[33]*e[19]*e[32]-e[18]*e[32]*e[34]+e[30]*e[34]*e[20];
163 A[144]=e[18]*e[2]*e[17]+e[3]*e[21]*e[15]+e[3]*e[12]*e[24]+e[3]*e[23]*e[17]+e[3]*e[14]*e[26]+e[3]*e[22]*e[16]+e[3]*e[13]*e[25]+3.*e[6]*e[24]*e[15]+e[6]*e[26]*e[17]+e[6]*e[25]*e[16]+e[0]*e[20]*e[17]+e[0]*e[11]*e[26]+e[0]*e[19]*e[16]+e[0]*e[10]*e[25]+e[15]*e[26]*e[8]-1.*e[15]*e[20]*e[2]-1.*e[15]*e[19]*e[1]-1.*e[15]*e[22]*e[4]+e[15]*e[25]*e[7]-1.*e[15]*e[23]*e[5]+e[12]*e[21]*e[6]+e[12]*e[22]*e[7]+e[12]*e[4]*e[25]+e[12]*e[23]*e[8]+e[12]*e[5]*e[26]-1.*e[24]*e[11]*e[2]-1.*e[24]*e[10]*e[1]-1.*e[24]*e[13]*e[4]+e[24]*e[16]*e[7]-1.*e[24]*e[14]*e[5]+e[24]*e[17]*e[8]+e[21]*e[13]*e[7]+e[21]*e[4]*e[16]+e[21]*e[14]*e[8]+e[21]*e[5]*e[17]-1.*e[6]*e[23]*e[14]-1.*e[6]*e[20]*e[11]-1.*e[6]*e[19]*e[10]-1.*e[6]*e[22]*e[13]+e[9]*e[18]*e[6]+e[9]*e[0]*e[24]+e[9]*e[19]*e[7]+e[9]*e[1]*e[25]+e[9]*e[20]*e[8]+e[9]*e[2]*e[26]+e[18]*e[0]*e[15]+e[18]*e[10]*e[7]+e[18]*e[1]*e[16]+e[18]*e[11]*e[8];
164 A[3]=e[33]*e[10]*e[32]+e[33]*e[28]*e[14]-e[33]*e[13]*e[29]-e[33]*e[31]*e[11]+e[9]*e[31]*e[35]-e[9]*e[32]*e[34]+e[27]*e[13]*e[35]-e[27]*e[32]*e[16]+e[27]*e[31]*e[17]-e[27]*e[14]*e[34]+e[12]*e[34]*e[29]-e[12]*e[28]*e[35]+e[30]*e[34]*e[11]+e[30]*e[16]*e[29]-e[30]*e[10]*e[35]-e[30]*e[28]*e[17]+e[15]*e[28]*e[32]-e[15]*e[31]*e[29];
165 A[145]=e[0]*e[27]*e[6]+e[0]*e[28]*e[7]+e[0]*e[1]*e[34]+e[0]*e[29]*e[8]+e[0]*e[2]*e[35]+e[6]*e[34]*e[7]-1.*e[6]*e[32]*e[5]+e[6]*e[30]*e[3]+e[6]*e[35]*e[8]-1.*e[6]*e[29]*e[2]-1.*e[6]*e[28]*e[1]-1.*e[6]*e[31]*e[4]+e[27]*e[1]*e[7]+e[27]*e[2]*e[8]+e[3]*e[31]*e[7]+e[3]*e[4]*e[34]+e[3]*e[32]*e[8]+e[3]*e[5]*e[35]+e[30]*e[4]*e[7]+e[30]*e[5]*e[8]+.5000000000*ep2[0]*e[33]+1.500000000*e[33]*ep2[6]-.5000000000*e[33]*ep2[4]-.5000000000*e[33]*ep2[5]-.5000000000*e[33]*ep2[1]+.5000000000*e[33]*ep2[7]+.5000000000*e[33]*ep2[3]-.5000000000*e[33]*ep2[2]+.5000000000*e[33]*ep2[8];
166 A[4]=-e[0]*e[23]*e[16]+e[9]*e[4]*e[26]+e[9]*e[22]*e[8]-e[9]*e[5]*e[25]-e[9]*e[23]*e[7]+e[18]*e[4]*e[17]+e[18]*e[13]*e[8]-e[18]*e[5]*e[16]-e[18]*e[14]*e[7]+e[3]*e[16]*e[20]+e[3]*e[25]*e[11]-e[3]*e[10]*e[26]-e[3]*e[19]*e[17]+e[12]*e[7]*e[20]+e[12]*e[25]*e[2]-e[12]*e[1]*e[26]-e[12]*e[19]*e[8]+e[21]*e[7]*e[11]+e[21]*e[16]*e[2]-e[21]*e[1]*e[17]-e[21]*e[10]*e[8]+e[6]*e[10]*e[23]+e[6]*e[19]*e[14]-e[6]*e[13]*e[20]-e[6]*e[22]*e[11]+e[15]*e[1]*e[23]+e[15]*e[19]*e[5]-e[15]*e[4]*e[20]-e[15]*e[22]*e[2]+e[24]*e[1]*e[14]+e[24]*e[10]*e[5]-e[24]*e[4]*e[11]-e[24]*e[13]*e[2]+e[0]*e[13]*e[26]+e[0]*e[22]*e[17]-e[0]*e[14]*e[25];
167 A[150]=e[18]*e[19]*e[25]+.5000000000*ep3[24]-.5000000000*e[24]*ep2[23]+e[18]*e[20]*e[26]+e[21]*e[22]*e[25]+e[21]*e[23]*e[26]-.5000000000*e[24]*ep2[19]+.5000000000*ep2[21]*e[24]+.5000000000*e[24]*ep2[26]-.5000000000*e[24]*ep2[20]+.5000000000*ep2[18]*e[24]-.5000000000*e[24]*ep2[22]+.5000000000*e[24]*ep2[25];
168 A[5]=-e[3]*e[1]*e[35]-e[0]*e[32]*e[7]+e[27]*e[4]*e[8]+e[33]*e[1]*e[5]-e[33]*e[4]*e[2]+e[0]*e[4]*e[35]+e[3]*e[34]*e[2]-e[30]*e[1]*e[8]+e[30]*e[7]*e[2]-e[6]*e[4]*e[29]+e[3]*e[7]*e[29]+e[6]*e[1]*e[32]-e[0]*e[5]*e[34]-e[3]*e[28]*e[8]+e[0]*e[31]*e[8]+e[6]*e[28]*e[5]-e[6]*e[31]*e[2]-e[27]*e[5]*e[7];
169 A[151]=e[33]*e[16]*e[7]-1.*e[33]*e[14]*e[5]+e[33]*e[17]*e[8]+e[30]*e[13]*e[7]+e[30]*e[4]*e[16]+e[30]*e[14]*e[8]+e[30]*e[5]*e[17]+e[6]*e[27]*e[9]-1.*e[6]*e[28]*e[10]-1.*e[6]*e[31]*e[13]-1.*e[6]*e[32]*e[14]-1.*e[6]*e[29]*e[11]+e[9]*e[28]*e[7]+e[9]*e[1]*e[34]+e[9]*e[29]*e[8]+e[9]*e[2]*e[35]+e[27]*e[10]*e[7]+e[27]*e[1]*e[16]+e[27]*e[11]*e[8]+e[27]*e[2]*e[17]+e[3]*e[30]*e[15]+e[3]*e[12]*e[33]+e[3]*e[32]*e[17]+e[3]*e[14]*e[35]+e[3]*e[31]*e[16]+e[3]*e[13]*e[34]+3.*e[6]*e[33]*e[15]+e[6]*e[35]*e[17]+e[6]*e[34]*e[16]+e[0]*e[27]*e[15]+e[0]*e[9]*e[33]+e[0]*e[29]*e[17]+e[0]*e[11]*e[35]+e[0]*e[28]*e[16]+e[0]*e[10]*e[34]+e[15]*e[34]*e[7]-1.*e[15]*e[32]*e[5]+e[15]*e[35]*e[8]-1.*e[15]*e[29]*e[2]-1.*e[15]*e[28]*e[1]-1.*e[15]*e[31]*e[4]+e[12]*e[30]*e[6]+e[12]*e[31]*e[7]+e[12]*e[4]*e[34]+e[12]*e[32]*e[8]+e[12]*e[5]*e[35]-1.*e[33]*e[11]*e[2]-1.*e[33]*e[10]*e[1]-1.*e[33]*e[13]*e[4];
170 A[6]=e[6]*e[1]*e[5]-e[6]*e[4]*e[2]+e[3]*e[7]*e[2]+e[0]*e[4]*e[8]-e[0]*e[5]*e[7]-e[3]*e[1]*e[8];
171 A[148]=.5000000000*ep3[15]+e[9]*e[10]*e[16]-.5000000000*e[15]*ep2[11]+e[9]*e[11]*e[17]+.5000000000*ep2[12]*e[15]+.5000000000*e[15]*ep2[16]+.5000000000*e[15]*ep2[17]-.5000000000*e[15]*ep2[13]+.5000000000*ep2[9]*e[15]+e[12]*e[14]*e[17]-.5000000000*e[15]*ep2[10]-.5000000000*e[15]*ep2[14]+e[12]*e[13]*e[16];
172 A[7]=e[15]*e[28]*e[14]-e[15]*e[13]*e[29]-e[15]*e[31]*e[11]+e[33]*e[10]*e[14]-e[33]*e[13]*e[11]+e[9]*e[13]*e[35]-e[9]*e[32]*e[16]+e[9]*e[31]*e[17]-e[9]*e[14]*e[34]+e[27]*e[13]*e[17]-e[27]*e[14]*e[16]+e[12]*e[34]*e[11]+e[12]*e[16]*e[29]-e[12]*e[10]*e[35]-e[12]*e[28]*e[17]+e[30]*e[16]*e[11]-e[30]*e[10]*e[17]+e[15]*e[10]*e[32];
173 A[149]=e[18]*e[27]*e[24]+e[18]*e[28]*e[25]+e[18]*e[19]*e[34]+e[18]*e[29]*e[26]+e[18]*e[20]*e[35]+e[27]*e[19]*e[25]+e[27]*e[20]*e[26]+e[21]*e[30]*e[24]+e[21]*e[31]*e[25]+e[21]*e[22]*e[34]+e[21]*e[32]*e[26]+e[21]*e[23]*e[35]+e[30]*e[22]*e[25]+e[30]*e[23]*e[26]+e[24]*e[34]*e[25]+e[24]*e[35]*e[26]-1.*e[24]*e[29]*e[20]-1.*e[24]*e[31]*e[22]-1.*e[24]*e[32]*e[23]-1.*e[24]*e[28]*e[19]+1.500000000*e[33]*ep2[24]+.5000000000*e[33]*ep2[25]+.5000000000*e[33]*ep2[26]-.5000000000*e[33]*ep2[23]-.5000000000*e[33]*ep2[19]-.5000000000*e[33]*ep2[20]-.5000000000*e[33]*ep2[22]+.5000000000*ep2[18]*e[33]+.5000000000*ep2[21]*e[33];
174 A[9]=e[21]*e[25]*e[29]-e[27]*e[23]*e[25]+e[24]*e[19]*e[32]-e[21]*e[28]*e[26]-e[21]*e[19]*e[35]+e[18]*e[31]*e[26]-e[30]*e[19]*e[26]-e[24]*e[31]*e[20]+e[24]*e[28]*e[23]+e[27]*e[22]*e[26]+e[30]*e[25]*e[20]-e[33]*e[22]*e[20]+e[33]*e[19]*e[23]+e[21]*e[34]*e[20]-e[18]*e[23]*e[34]-e[24]*e[22]*e[29]-e[18]*e[32]*e[25]+e[18]*e[22]*e[35];
175 A[155]=e[12]*e[14]*e[8]+e[12]*e[5]*e[17]+e[15]*e[16]*e[7]+e[15]*e[17]*e[8]+e[0]*e[11]*e[17]+e[0]*e[9]*e[15]+e[0]*e[10]*e[16]+e[3]*e[14]*e[17]+e[3]*e[13]*e[16]+e[9]*e[10]*e[7]+e[9]*e[1]*e[16]+e[9]*e[11]*e[8]+e[9]*e[2]*e[17]-1.*e[15]*e[11]*e[2]-1.*e[15]*e[10]*e[1]-1.*e[15]*e[13]*e[4]-1.*e[15]*e[14]*e[5]+e[12]*e[3]*e[15]+e[12]*e[13]*e[7]+e[12]*e[4]*e[16]+.5000000000*ep2[12]*e[6]+1.500000000*ep2[15]*e[6]+.5000000000*e[6]*ep2[17]+.5000000000*e[6]*ep2[16]+.5000000000*e[6]*ep2[9]-.5000000000*e[6]*ep2[11]-.5000000000*e[6]*ep2[10]-.5000000000*e[6]*ep2[14]-.5000000000*e[6]*ep2[13];
176 A[8]=-e[9]*e[14]*e[16]-e[12]*e[10]*e[17]+e[9]*e[13]*e[17]-e[15]*e[13]*e[11]+e[15]*e[10]*e[14]+e[12]*e[16]*e[11];
177 A[154]=e[21]*e[14]*e[17]+e[21]*e[13]*e[16]+e[15]*e[26]*e[17]+e[15]*e[25]*e[16]-1.*e[15]*e[23]*e[14]-1.*e[15]*e[20]*e[11]-1.*e[15]*e[19]*e[10]-1.*e[15]*e[22]*e[13]+e[9]*e[20]*e[17]+e[9]*e[11]*e[26]+e[9]*e[19]*e[16]+e[9]*e[10]*e[25]+.5000000000*ep2[12]*e[24]+1.500000000*e[24]*ep2[15]+.5000000000*e[24]*ep2[17]+.5000000000*e[24]*ep2[16]+.5000000000*ep2[9]*e[24]-.5000000000*e[24]*ep2[11]-.5000000000*e[24]*ep2[10]-.5000000000*e[24]*ep2[14]-.5000000000*e[24]*ep2[13]+e[18]*e[11]*e[17]+e[18]*e[9]*e[15]+e[18]*e[10]*e[16]+e[12]*e[21]*e[15]+e[12]*e[23]*e[17]+e[12]*e[14]*e[26]+e[12]*e[22]*e[16]+e[12]*e[13]*e[25];
178 A[11]=-e[9]*e[5]*e[34]+e[9]*e[31]*e[8]-e[9]*e[32]*e[7]+e[27]*e[4]*e[17]+e[27]*e[13]*e[8]-e[27]*e[5]*e[16]-e[27]*e[14]*e[7]+e[0]*e[13]*e[35]-e[0]*e[32]*e[16]+e[0]*e[31]*e[17]-e[0]*e[14]*e[34]+e[9]*e[4]*e[35]+e[6]*e[10]*e[32]+e[6]*e[28]*e[14]-e[6]*e[13]*e[29]-e[6]*e[31]*e[11]+e[15]*e[1]*e[32]+e[3]*e[34]*e[11]+e[3]*e[16]*e[29]-e[3]*e[10]*e[35]-e[3]*e[28]*e[17]-e[12]*e[1]*e[35]+e[12]*e[7]*e[29]+e[12]*e[34]*e[2]-e[12]*e[28]*e[8]+e[15]*e[28]*e[5]-e[15]*e[4]*e[29]-e[15]*e[31]*e[2]+e[33]*e[1]*e[14]+e[33]*e[10]*e[5]-e[33]*e[4]*e[11]-e[33]*e[13]*e[2]+e[30]*e[7]*e[11]+e[30]*e[16]*e[2]-e[30]*e[1]*e[17]-e[30]*e[10]*e[8];
179 A[153]=e[21]*e[31]*e[7]+e[21]*e[4]*e[34]+e[21]*e[32]*e[8]+e[21]*e[5]*e[35]+e[30]*e[22]*e[7]+e[30]*e[4]*e[25]+e[30]*e[23]*e[8]+e[30]*e[5]*e[26]+3.*e[24]*e[33]*e[6]+e[24]*e[34]*e[7]+e[24]*e[35]*e[8]+e[33]*e[25]*e[7]+e[33]*e[26]*e[8]+e[0]*e[27]*e[24]+e[0]*e[18]*e[33]+e[0]*e[28]*e[25]+e[0]*e[19]*e[34]+e[0]*e[29]*e[26]+e[0]*e[20]*e[35]+e[18]*e[27]*e[6]+e[18]*e[28]*e[7]+e[18]*e[1]*e[34]+e[18]*e[29]*e[8]+e[18]*e[2]*e[35]+e[27]*e[19]*e[7]+e[27]*e[1]*e[25]+e[27]*e[20]*e[8]+e[27]*e[2]*e[26]+e[3]*e[30]*e[24]+e[3]*e[21]*e[33]+e[3]*e[31]*e[25]+e[3]*e[22]*e[34]+e[3]*e[32]*e[26]+e[3]*e[23]*e[35]+e[6]*e[30]*e[21]-1.*e[6]*e[29]*e[20]+e[6]*e[35]*e[26]-1.*e[6]*e[31]*e[22]-1.*e[6]*e[32]*e[23]-1.*e[6]*e[28]*e[19]+e[6]*e[34]*e[25]-1.*e[24]*e[32]*e[5]-1.*e[24]*e[29]*e[2]-1.*e[24]*e[28]*e[1]-1.*e[24]*e[31]*e[4]-1.*e[33]*e[20]*e[2]-1.*e[33]*e[19]*e[1]-1.*e[33]*e[22]*e[4]-1.*e[33]*e[23]*e[5];
180 A[10]=e[21]*e[25]*e[20]-e[21]*e[19]*e[26]+e[18]*e[22]*e[26]-e[18]*e[23]*e[25]-e[24]*e[22]*e[20]+e[24]*e[19]*e[23];
181 A[152]=e[3]*e[4]*e[25]+e[3]*e[23]*e[8]+e[3]*e[5]*e[26]+e[21]*e[4]*e[7]+e[21]*e[5]*e[8]+e[6]*e[25]*e[7]+e[6]*e[26]*e[8]+e[0]*e[19]*e[7]+e[0]*e[1]*e[25]+e[0]*e[20]*e[8]+e[0]*e[2]*e[26]-1.*e[6]*e[20]*e[2]-1.*e[6]*e[19]*e[1]-1.*e[6]*e[22]*e[4]-1.*e[6]*e[23]*e[5]+e[18]*e[1]*e[7]+e[18]*e[0]*e[6]+e[18]*e[2]*e[8]+e[3]*e[21]*e[6]+e[3]*e[22]*e[7]-.5000000000*e[24]*ep2[4]+.5000000000*e[24]*ep2[0]+1.500000000*e[24]*ep2[6]-.5000000000*e[24]*ep2[5]-.5000000000*e[24]*ep2[1]+.5000000000*e[24]*ep2[7]+.5000000000*e[24]*ep2[3]-.5000000000*e[24]*ep2[2]+.5000000000*e[24]*ep2[8];
182 A[13]=e[6]*e[28]*e[23]-e[6]*e[22]*e[29]-e[6]*e[31]*e[20]-e[3]*e[19]*e[35]+e[3]*e[34]*e[20]+e[3]*e[25]*e[29]-e[21]*e[1]*e[35]+e[21]*e[7]*e[29]+e[21]*e[34]*e[2]+e[24]*e[1]*e[32]+e[24]*e[28]*e[5]-e[24]*e[4]*e[29]-e[24]*e[31]*e[2]+e[33]*e[1]*e[23]+e[33]*e[19]*e[5]-e[33]*e[4]*e[20]-e[33]*e[22]*e[2]-e[21]*e[28]*e[8]+e[30]*e[7]*e[20]+e[30]*e[25]*e[2]-e[30]*e[1]*e[26]+e[18]*e[4]*e[35]-e[18]*e[5]*e[34]+e[18]*e[31]*e[8]-e[18]*e[32]*e[7]+e[27]*e[4]*e[26]+e[27]*e[22]*e[8]-e[27]*e[5]*e[25]-e[27]*e[23]*e[7]-e[3]*e[28]*e[26]-e[0]*e[32]*e[25]+e[0]*e[22]*e[35]-e[0]*e[23]*e[34]+e[0]*e[31]*e[26]-e[30]*e[19]*e[8]+e[6]*e[19]*e[32];
183 A[159]=.5000000000*ep2[18]*e[6]+.5000000000*ep2[21]*e[6]+1.500000000*ep2[24]*e[6]+.5000000000*e[6]*ep2[26]-.5000000000*e[6]*ep2[23]-.5000000000*e[6]*ep2[19]-.5000000000*e[6]*ep2[20]-.5000000000*e[6]*ep2[22]+.5000000000*e[6]*ep2[25]+e[21]*e[3]*e[24]+e[18]*e[20]*e[8]+e[21]*e[4]*e[25]+e[18]*e[19]*e[7]+e[18]*e[1]*e[25]+e[21]*e[22]*e[7]+e[21]*e[23]*e[8]+e[18]*e[0]*e[24]+e[18]*e[2]*e[26]+e[21]*e[5]*e[26]+e[24]*e[26]*e[8]-1.*e[24]*e[20]*e[2]-1.*e[24]*e[19]*e[1]-1.*e[24]*e[22]*e[4]+e[24]*e[25]*e[7]-1.*e[24]*e[23]*e[5]+e[0]*e[19]*e[25]+e[0]*e[20]*e[26]+e[3]*e[22]*e[25]+e[3]*e[23]*e[26];
184 A[12]=e[18]*e[4]*e[8]+e[3]*e[7]*e[20]+e[3]*e[25]*e[2]-e[3]*e[1]*e[26]-e[18]*e[5]*e[7]+e[6]*e[1]*e[23]+e[6]*e[19]*e[5]-e[6]*e[4]*e[20]-e[6]*e[22]*e[2]+e[21]*e[7]*e[2]-e[21]*e[1]*e[8]+e[24]*e[1]*e[5]-e[24]*e[4]*e[2]-e[3]*e[19]*e[8]+e[0]*e[4]*e[26]+e[0]*e[22]*e[8]-e[0]*e[5]*e[25]-e[0]*e[23]*e[7];
185 A[158]=e[9]*e[1]*e[7]+e[9]*e[0]*e[6]+e[9]*e[2]*e[8]+e[3]*e[12]*e[6]+e[3]*e[13]*e[7]+e[3]*e[4]*e[16]+e[3]*e[14]*e[8]+e[3]*e[5]*e[17]+e[12]*e[4]*e[7]+e[12]*e[5]*e[8]+e[6]*e[16]*e[7]+e[6]*e[17]*e[8]-1.*e[6]*e[11]*e[2]-1.*e[6]*e[10]*e[1]-1.*e[6]*e[13]*e[4]-1.*e[6]*e[14]*e[5]+e[0]*e[10]*e[7]+e[0]*e[1]*e[16]+e[0]*e[11]*e[8]+e[0]*e[2]*e[17]+.5000000000*ep2[3]*e[15]+1.500000000*e[15]*ep2[6]+.5000000000*e[15]*ep2[7]+.5000000000*e[15]*ep2[8]+.5000000000*ep2[0]*e[15]-.5000000000*e[15]*ep2[4]-.5000000000*e[15]*ep2[5]-.5000000000*e[15]*ep2[1]-.5000000000*e[15]*ep2[2];
186 A[15]=-e[15]*e[13]*e[2]-e[6]*e[13]*e[11]-e[15]*e[4]*e[11]+e[12]*e[16]*e[2]-e[3]*e[10]*e[17]+e[3]*e[16]*e[11]+e[0]*e[13]*e[17]-e[0]*e[14]*e[16]+e[15]*e[1]*e[14]-e[12]*e[10]*e[8]+e[9]*e[4]*e[17]+e[9]*e[13]*e[8]-e[9]*e[5]*e[16]-e[9]*e[14]*e[7]+e[15]*e[10]*e[5]+e[12]*e[7]*e[11]+e[6]*e[10]*e[14]-e[12]*e[1]*e[17];
187 A[157]=e[12]*e[30]*e[24]+e[12]*e[21]*e[33]+e[12]*e[31]*e[25]+e[12]*e[22]*e[34]+e[12]*e[32]*e[26]+e[12]*e[23]*e[35]+e[9]*e[27]*e[24]+e[9]*e[18]*e[33]+e[9]*e[28]*e[25]+e[9]*e[19]*e[34]+e[9]*e[29]*e[26]+e[9]*e[20]*e[35]+e[21]*e[30]*e[15]+e[21]*e[32]*e[17]+e[21]*e[14]*e[35]+e[21]*e[31]*e[16]+e[21]*e[13]*e[34]+e[30]*e[23]*e[17]+e[30]*e[14]*e[26]+e[30]*e[22]*e[16]+e[30]*e[13]*e[25]+e[15]*e[27]*e[18]+3.*e[15]*e[33]*e[24]-1.*e[15]*e[29]*e[20]+e[15]*e[35]*e[26]-1.*e[15]*e[31]*e[22]-1.*e[15]*e[32]*e[23]-1.*e[15]*e[28]*e[19]+e[15]*e[34]*e[25]+e[18]*e[29]*e[17]+e[18]*e[11]*e[35]+e[18]*e[28]*e[16]+e[18]*e[10]*e[34]+e[27]*e[20]*e[17]+e[27]*e[11]*e[26]+e[27]*e[19]*e[16]+e[27]*e[10]*e[25]-1.*e[24]*e[28]*e[10]-1.*e[24]*e[31]*e[13]-1.*e[24]*e[32]*e[14]+e[24]*e[34]*e[16]+e[24]*e[35]*e[17]-1.*e[24]*e[29]*e[11]-1.*e[33]*e[23]*e[14]+e[33]*e[25]*e[16]+e[33]*e[26]*e[17]-1.*e[33]*e[20]*e[11]-1.*e[33]*e[19]*e[10]-1.*e[33]*e[22]*e[13];
188 A[14]=e[18]*e[13]*e[17]+e[9]*e[13]*e[26]+e[9]*e[22]*e[17]-e[9]*e[14]*e[25]-e[18]*e[14]*e[16]-e[15]*e[13]*e[20]-e[15]*e[22]*e[11]+e[12]*e[16]*e[20]+e[12]*e[25]*e[11]-e[12]*e[10]*e[26]-e[12]*e[19]*e[17]+e[21]*e[16]*e[11]-e[21]*e[10]*e[17]-e[9]*e[23]*e[16]+e[24]*e[10]*e[14]-e[24]*e[13]*e[11]+e[15]*e[10]*e[23]+e[15]*e[19]*e[14];
189 A[156]=e[21]*e[12]*e[24]+e[21]*e[23]*e[17]+e[21]*e[14]*e[26]+e[21]*e[22]*e[16]+e[21]*e[13]*e[25]+e[24]*e[26]*e[17]+e[24]*e[25]*e[16]+e[9]*e[19]*e[25]+e[9]*e[18]*e[24]+e[9]*e[20]*e[26]+e[12]*e[22]*e[25]+e[12]*e[23]*e[26]+e[18]*e[20]*e[17]+e[18]*e[11]*e[26]+e[18]*e[19]*e[16]+e[18]*e[10]*e[25]-1.*e[24]*e[23]*e[14]-1.*e[24]*e[20]*e[11]-1.*e[24]*e[19]*e[10]-1.*e[24]*e[22]*e[13]+.5000000000*ep2[21]*e[15]+1.500000000*ep2[24]*e[15]+.5000000000*e[15]*ep2[25]+.5000000000*e[15]*ep2[26]+.5000000000*e[15]*ep2[18]-.5000000000*e[15]*ep2[23]-.5000000000*e[15]*ep2[19]-.5000000000*e[15]*ep2[20]-.5000000000*e[15]*ep2[22];
190 A[18]=e[6]*e[1]*e[14]+e[15]*e[1]*e[5]-e[0]*e[5]*e[16]-e[0]*e[14]*e[7]+e[0]*e[13]*e[8]-e[15]*e[4]*e[2]+e[12]*e[7]*e[2]+e[6]*e[10]*e[5]+e[3]*e[7]*e[11]-e[6]*e[4]*e[11]+e[3]*e[16]*e[2]-e[6]*e[13]*e[2]-e[3]*e[1]*e[17]-e[9]*e[5]*e[7]-e[3]*e[10]*e[8]-e[12]*e[1]*e[8]+e[0]*e[4]*e[17]+e[9]*e[4]*e[8];
191 A[128]=-.5000000000*e[14]*ep2[16]-.5000000000*e[14]*ep2[10]-.5000000000*e[14]*ep2[9]+e[11]*e[9]*e[12]+.5000000000*ep3[14]+e[17]*e[13]*e[16]+.5000000000*e[14]*ep2[12]+e[11]*e[10]*e[13]-.5000000000*e[14]*ep2[15]+.5000000000*e[14]*ep2[17]+e[17]*e[12]*e[15]+.5000000000*ep2[11]*e[14]+.5000000000*e[14]*ep2[13];
192 A[19]=-e[21]*e[19]*e[8]+e[18]*e[4]*e[26]-e[18]*e[5]*e[25]-e[18]*e[23]*e[7]+e[21]*e[25]*e[2]-e[21]*e[1]*e[26]+e[6]*e[19]*e[23]+e[18]*e[22]*e[8]-e[0]*e[23]*e[25]-e[6]*e[22]*e[20]+e[24]*e[1]*e[23]+e[24]*e[19]*e[5]-e[24]*e[4]*e[20]-e[24]*e[22]*e[2]+e[3]*e[25]*e[20]-e[3]*e[19]*e[26]+e[0]*e[22]*e[26]+e[21]*e[7]*e[20];
193 A[129]=.5000000000*ep2[20]*e[32]+1.500000000*e[32]*ep2[23]+.5000000000*e[32]*ep2[22]+.5000000000*e[32]*ep2[21]+.5000000000*e[32]*ep2[26]-.5000000000*e[32]*ep2[18]-.5000000000*e[32]*ep2[19]-.5000000000*e[32]*ep2[24]-.5000000000*e[32]*ep2[25]+e[20]*e[27]*e[21]+e[20]*e[18]*e[30]+e[20]*e[28]*e[22]+e[20]*e[19]*e[31]+e[20]*e[29]*e[23]+e[29]*e[19]*e[22]+e[29]*e[18]*e[21]+e[23]*e[30]*e[21]+e[23]*e[31]*e[22]+e[26]*e[30]*e[24]+e[26]*e[21]*e[33]+e[26]*e[31]*e[25]+e[26]*e[22]*e[34]+e[26]*e[23]*e[35]+e[35]*e[22]*e[25]+e[35]*e[21]*e[24]-1.*e[23]*e[27]*e[18]-1.*e[23]*e[33]*e[24]-1.*e[23]*e[28]*e[19]-1.*e[23]*e[34]*e[25];
194 A[16]=-e[9]*e[23]*e[25]-e[21]*e[10]*e[26]-e[21]*e[19]*e[17]-e[18]*e[23]*e[16]+e[18]*e[13]*e[26]+e[12]*e[25]*e[20]-e[12]*e[19]*e[26]-e[15]*e[22]*e[20]+e[21]*e[16]*e[20]+e[21]*e[25]*e[11]+e[24]*e[10]*e[23]+e[24]*e[19]*e[14]-e[24]*e[13]*e[20]-e[24]*e[22]*e[11]+e[18]*e[22]*e[17]-e[18]*e[14]*e[25]+e[9]*e[22]*e[26]+e[15]*e[19]*e[23];
195 A[130]=.5000000000*e[23]*ep2[21]+e[20]*e[19]*e[22]+e[20]*e[18]*e[21]+.5000000000*ep3[23]+e[26]*e[22]*e[25]+.5000000000*e[23]*ep2[26]-.5000000000*e[23]*ep2[18]+.5000000000*e[23]*ep2[22]-.5000000000*e[23]*ep2[19]+e[26]*e[21]*e[24]+.5000000000*ep2[20]*e[23]-.5000000000*e[23]*ep2[24]-.5000000000*e[23]*ep2[25];
196 A[17]=e[18]*e[13]*e[35]-e[18]*e[32]*e[16]+e[18]*e[31]*e[17]-e[18]*e[14]*e[34]+e[27]*e[13]*e[26]+e[27]*e[22]*e[17]-e[27]*e[14]*e[25]-e[27]*e[23]*e[16]-e[9]*e[32]*e[25]+e[9]*e[22]*e[35]-e[9]*e[23]*e[34]+e[9]*e[31]*e[26]+e[15]*e[19]*e[32]+e[15]*e[28]*e[23]-e[15]*e[22]*e[29]-e[15]*e[31]*e[20]+e[24]*e[10]*e[32]+e[24]*e[28]*e[14]-e[24]*e[13]*e[29]-e[24]*e[31]*e[11]+e[33]*e[10]*e[23]+e[33]*e[19]*e[14]-e[33]*e[13]*e[20]-e[33]*e[22]*e[11]+e[21]*e[16]*e[29]-e[21]*e[10]*e[35]-e[21]*e[28]*e[17]+e[30]*e[16]*e[20]+e[30]*e[25]*e[11]-e[30]*e[10]*e[26]-e[30]*e[19]*e[17]-e[12]*e[28]*e[26]-e[12]*e[19]*e[35]+e[12]*e[34]*e[20]+e[12]*e[25]*e[29]+e[21]*e[34]*e[11];
197 A[131]=-1.*e[32]*e[10]*e[1]+e[32]*e[13]*e[4]-1.*e[32]*e[16]*e[7]-1.*e[32]*e[15]*e[6]-1.*e[32]*e[9]*e[0]+e[32]*e[12]*e[3]+e[17]*e[30]*e[6]+e[17]*e[3]*e[33]+e[17]*e[31]*e[7]+e[17]*e[4]*e[34]+e[17]*e[5]*e[35]-1.*e[5]*e[27]*e[9]-1.*e[5]*e[28]*e[10]-1.*e[5]*e[33]*e[15]-1.*e[5]*e[34]*e[16]+e[5]*e[29]*e[11]+e[35]*e[12]*e[6]+e[35]*e[3]*e[15]+e[35]*e[13]*e[7]+e[35]*e[4]*e[16]+e[11]*e[27]*e[3]+e[11]*e[0]*e[30]+e[11]*e[28]*e[4]+e[11]*e[1]*e[31]+e[29]*e[9]*e[3]+e[29]*e[0]*e[12]+e[29]*e[10]*e[4]+e[29]*e[1]*e[13]+e[5]*e[30]*e[12]+3.*e[5]*e[32]*e[14]+e[5]*e[31]*e[13]+e[8]*e[30]*e[15]+e[8]*e[12]*e[33]+e[8]*e[32]*e[17]+e[8]*e[14]*e[35]+e[8]*e[31]*e[16]+e[8]*e[13]*e[34]+e[2]*e[27]*e[12]+e[2]*e[9]*e[30]+e[2]*e[29]*e[14]+e[2]*e[11]*e[32]+e[2]*e[28]*e[13]+e[2]*e[10]*e[31]-1.*e[14]*e[27]*e[0]-1.*e[14]*e[34]*e[7]-1.*e[14]*e[33]*e[6]+e[14]*e[30]*e[3]-1.*e[14]*e[28]*e[1]+e[14]*e[31]*e[4];
198 A[22]=.5000000000*e[18]*ep2[29]+.5000000000*e[18]*ep2[28]+.5000000000*e[18]*ep2[30]+.5000000000*e[18]*ep2[33]-.5000000000*e[18]*ep2[32]-.5000000000*e[18]*ep2[31]-.5000000000*e[18]*ep2[34]-.5000000000*e[18]*ep2[35]+1.500000000*e[18]*ep2[27]+e[27]*e[28]*e[19]+e[27]*e[29]*e[20]+e[21]*e[27]*e[30]+e[21]*e[29]*e[32]+e[21]*e[28]*e[31]+e[30]*e[28]*e[22]+e[30]*e[19]*e[31]+e[30]*e[29]*e[23]+e[30]*e[20]*e[32]+e[24]*e[27]*e[33]+e[24]*e[29]*e[35]+e[24]*e[28]*e[34]+e[33]*e[28]*e[25]+e[33]*e[19]*e[34]+e[33]*e[29]*e[26]+e[33]*e[20]*e[35]-1.*e[27]*e[35]*e[26]-1.*e[27]*e[31]*e[22]-1.*e[27]*e[32]*e[23]-1.*e[27]*e[34]*e[25];
199 A[132]=e[20]*e[1]*e[4]+e[20]*e[0]*e[3]+e[20]*e[2]*e[5]+e[5]*e[21]*e[3]+e[5]*e[22]*e[4]+e[8]*e[21]*e[6]+e[8]*e[3]*e[24]+e[8]*e[22]*e[7]+e[8]*e[4]*e[25]+e[8]*e[5]*e[26]+e[26]*e[4]*e[7]+e[26]*e[3]*e[6]+e[2]*e[18]*e[3]+e[2]*e[0]*e[21]+e[2]*e[19]*e[4]+e[2]*e[1]*e[22]-1.*e[5]*e[19]*e[1]-1.*e[5]*e[18]*e[0]-1.*e[5]*e[25]*e[7]-1.*e[5]*e[24]*e[6]+.5000000000*e[23]*ep2[4]-.5000000000*e[23]*ep2[0]-.5000000000*e[23]*ep2[6]+1.500000000*e[23]*ep2[5]-.5000000000*e[23]*ep2[1]-.5000000000*e[23]*ep2[7]+.5000000000*e[23]*ep2[3]+.5000000000*e[23]*ep2[2]+.5000000000*e[23]*ep2[8];
200 A[23]=1.500000000*e[9]*ep2[27]+.5000000000*e[9]*ep2[29]+.5000000000*e[9]*ep2[28]-.5000000000*e[9]*ep2[32]-.5000000000*e[9]*ep2[31]+.5000000000*e[9]*ep2[33]+.5000000000*e[9]*ep2[30]-.5000000000*e[9]*ep2[34]-.5000000000*e[9]*ep2[35]+e[33]*e[27]*e[15]+e[33]*e[29]*e[17]+e[33]*e[11]*e[35]+e[33]*e[28]*e[16]+e[33]*e[10]*e[34]+e[27]*e[29]*e[11]+e[27]*e[28]*e[10]+e[27]*e[30]*e[12]-1.*e[27]*e[31]*e[13]-1.*e[27]*e[32]*e[14]-1.*e[27]*e[34]*e[16]-1.*e[27]*e[35]*e[17]+e[30]*e[29]*e[14]+e[30]*e[11]*e[32]+e[30]*e[28]*e[13]+e[30]*e[10]*e[31]+e[12]*e[29]*e[32]+e[12]*e[28]*e[31]+e[15]*e[29]*e[35]+e[15]*e[28]*e[34];
201 A[133]=-1.*e[32]*e[24]*e[6]+e[8]*e[30]*e[24]+e[8]*e[21]*e[33]+e[8]*e[31]*e[25]+e[8]*e[22]*e[34]+e[26]*e[30]*e[6]+e[26]*e[3]*e[33]+e[26]*e[31]*e[7]+e[26]*e[4]*e[34]+e[26]*e[32]*e[8]+e[26]*e[5]*e[35]+e[35]*e[21]*e[6]+e[35]*e[3]*e[24]+e[35]*e[22]*e[7]+e[35]*e[4]*e[25]+e[35]*e[23]*e[8]+e[2]*e[27]*e[21]+e[2]*e[18]*e[30]+e[2]*e[28]*e[22]+e[2]*e[19]*e[31]+e[2]*e[29]*e[23]+e[2]*e[20]*e[32]+e[20]*e[27]*e[3]+e[20]*e[0]*e[30]+e[20]*e[28]*e[4]+e[20]*e[1]*e[31]+e[20]*e[29]*e[5]+e[29]*e[18]*e[3]+e[29]*e[0]*e[21]+e[29]*e[19]*e[4]+e[29]*e[1]*e[22]+e[5]*e[30]*e[21]+e[5]*e[31]*e[22]+3.*e[5]*e[32]*e[23]-1.*e[5]*e[27]*e[18]-1.*e[5]*e[33]*e[24]-1.*e[5]*e[28]*e[19]-1.*e[5]*e[34]*e[25]-1.*e[23]*e[27]*e[0]-1.*e[23]*e[34]*e[7]-1.*e[23]*e[33]*e[6]+e[23]*e[30]*e[3]-1.*e[23]*e[28]*e[1]+e[23]*e[31]*e[4]+e[32]*e[21]*e[3]-1.*e[32]*e[19]*e[1]+e[32]*e[22]*e[4]-1.*e[32]*e[18]*e[0]-1.*e[32]*e[25]*e[7];
202 A[20]=.5000000000*e[27]*ep2[33]-.5000000000*e[27]*ep2[32]-.5000000000*e[27]*ep2[31]-.5000000000*e[27]*ep2[34]-.5000000000*e[27]*ep2[35]+e[33]*e[29]*e[35]+.5000000000*e[27]*ep2[29]+e[30]*e[29]*e[32]+e[30]*e[28]*e[31]+e[33]*e[28]*e[34]+.5000000000*e[27]*ep2[28]+.5000000000*e[27]*ep2[30]+.5000000000*ep3[27];
203 A[134]=e[14]*e[21]*e[12]+e[14]*e[22]*e[13]+e[17]*e[21]*e[15]+e[17]*e[12]*e[24]+e[17]*e[14]*e[26]+e[17]*e[22]*e[16]+e[17]*e[13]*e[25]+e[26]*e[12]*e[15]+e[26]*e[13]*e[16]-1.*e[14]*e[24]*e[15]-1.*e[14]*e[25]*e[16]-1.*e[14]*e[18]*e[9]-1.*e[14]*e[19]*e[10]+e[11]*e[18]*e[12]+e[11]*e[9]*e[21]+e[11]*e[19]*e[13]+e[11]*e[10]*e[22]+e[20]*e[11]*e[14]+e[20]*e[9]*e[12]+e[20]*e[10]*e[13]+1.500000000*e[23]*ep2[14]+.5000000000*e[23]*ep2[12]+.5000000000*e[23]*ep2[13]+.5000000000*e[23]*ep2[17]+.5000000000*ep2[11]*e[23]-.5000000000*e[23]*ep2[16]-.5000000000*e[23]*ep2[9]-.5000000000*e[23]*ep2[15]-.5000000000*e[23]*ep2[10];
204 A[21]=1.500000000*e[0]*ep2[27]+.5000000000*e[0]*ep2[29]+.5000000000*e[0]*ep2[28]+.5000000000*e[0]*ep2[30]-.5000000000*e[0]*ep2[32]-.5000000000*e[0]*ep2[31]+.5000000000*e[0]*ep2[33]-.5000000000*e[0]*ep2[34]-.5000000000*e[0]*ep2[35]-1.*e[27]*e[31]*e[4]+e[3]*e[27]*e[30]+e[3]*e[29]*e[32]+e[3]*e[28]*e[31]+e[30]*e[28]*e[4]+e[30]*e[1]*e[31]+e[30]*e[29]*e[5]+e[30]*e[2]*e[32]+e[6]*e[27]*e[33]+e[6]*e[29]*e[35]+e[6]*e[28]*e[34]+e[27]*e[28]*e[1]+e[27]*e[29]*e[2]+e[33]*e[28]*e[7]+e[33]*e[1]*e[34]+e[33]*e[29]*e[8]+e[33]*e[2]*e[35]-1.*e[27]*e[34]*e[7]-1.*e[27]*e[32]*e[5]-1.*e[27]*e[35]*e[8];
205 A[135]=e[14]*e[12]*e[3]+e[14]*e[13]*e[4]+e[17]*e[12]*e[6]+e[17]*e[3]*e[15]+e[17]*e[13]*e[7]+e[17]*e[4]*e[16]+e[17]*e[14]*e[8]+e[8]*e[12]*e[15]+e[8]*e[13]*e[16]+e[2]*e[11]*e[14]+e[2]*e[9]*e[12]+e[2]*e[10]*e[13]+e[11]*e[9]*e[3]+e[11]*e[0]*e[12]+e[11]*e[10]*e[4]+e[11]*e[1]*e[13]-1.*e[14]*e[10]*e[1]-1.*e[14]*e[16]*e[7]-1.*e[14]*e[15]*e[6]-1.*e[14]*e[9]*e[0]-.5000000000*e[5]*ep2[16]-.5000000000*e[5]*ep2[9]+.5000000000*e[5]*ep2[11]+.5000000000*e[5]*ep2[12]-.5000000000*e[5]*ep2[15]-.5000000000*e[5]*ep2[10]+.5000000000*e[5]*ep2[13]+1.500000000*ep2[14]*e[5]+.5000000000*e[5]*ep2[17];
206 A[27]=1.500000000*e[27]*ep2[9]-.5000000000*e[27]*ep2[16]+.5000000000*e[27]*ep2[11]+.5000000000*e[27]*ep2[12]+.5000000000*e[27]*ep2[15]-.5000000000*e[27]*ep2[17]+.5000000000*e[27]*ep2[10]-.5000000000*e[27]*ep2[14]-.5000000000*e[27]*ep2[13]+e[12]*e[10]*e[31]+e[30]*e[11]*e[14]+e[30]*e[10]*e[13]+e[15]*e[9]*e[33]+e[15]*e[29]*e[17]+e[15]*e[11]*e[35]+e[15]*e[28]*e[16]+e[15]*e[10]*e[34]+e[33]*e[11]*e[17]+e[33]*e[10]*e[16]-1.*e[9]*e[31]*e[13]-1.*e[9]*e[32]*e[14]-1.*e[9]*e[34]*e[16]-1.*e[9]*e[35]*e[17]+e[9]*e[29]*e[11]+e[9]*e[28]*e[10]+e[12]*e[9]*e[30]+e[12]*e[29]*e[14]+e[12]*e[11]*e[32]+e[12]*e[28]*e[13];
207 A[137]=e[29]*e[18]*e[12]+e[29]*e[9]*e[21]+e[29]*e[19]*e[13]+e[29]*e[10]*e[22]+e[17]*e[30]*e[24]+e[17]*e[21]*e[33]+e[17]*e[31]*e[25]+e[17]*e[22]*e[34]+e[17]*e[32]*e[26]+e[17]*e[23]*e[35]-1.*e[23]*e[27]*e[9]-1.*e[23]*e[28]*e[10]-1.*e[23]*e[33]*e[15]-1.*e[23]*e[34]*e[16]-1.*e[32]*e[24]*e[15]-1.*e[32]*e[25]*e[16]-1.*e[32]*e[18]*e[9]-1.*e[32]*e[19]*e[10]+e[26]*e[30]*e[15]+e[26]*e[12]*e[33]+e[26]*e[31]*e[16]+e[26]*e[13]*e[34]+e[35]*e[21]*e[15]+e[35]*e[12]*e[24]+e[35]*e[22]*e[16]+e[35]*e[13]*e[25]+e[14]*e[30]*e[21]+e[14]*e[31]*e[22]+3.*e[14]*e[32]*e[23]+e[11]*e[27]*e[21]+e[11]*e[18]*e[30]+e[11]*e[28]*e[22]+e[11]*e[19]*e[31]+e[11]*e[29]*e[23]+e[11]*e[20]*e[32]+e[23]*e[30]*e[12]+e[23]*e[31]*e[13]+e[32]*e[21]*e[12]+e[32]*e[22]*e[13]-1.*e[14]*e[27]*e[18]-1.*e[14]*e[33]*e[24]+e[14]*e[29]*e[20]+e[14]*e[35]*e[26]-1.*e[14]*e[28]*e[19]-1.*e[14]*e[34]*e[25]+e[20]*e[27]*e[12]+e[20]*e[9]*e[30]+e[20]*e[28]*e[13]+e[20]*e[10]*e[31];
208 A[26]=.5000000000*e[0]*ep2[1]+.5000000000*e[0]*ep2[2]+e[6]*e[2]*e[8]+e[6]*e[1]*e[7]+.5000000000*e[0]*ep2[3]+e[3]*e[1]*e[4]+.5000000000*e[0]*ep2[6]+e[3]*e[2]*e[5]-.5000000000*e[0]*ep2[5]-.5000000000*e[0]*ep2[8]+.5000000000*ep3[0]-.5000000000*e[0]*ep2[7]-.5000000000*e[0]*ep2[4];
209 A[136]=1.500000000*ep2[23]*e[14]+.5000000000*e[14]*ep2[26]-.5000000000*e[14]*ep2[18]-.5000000000*e[14]*ep2[19]+.5000000000*e[14]*ep2[20]+.5000000000*e[14]*ep2[22]-.5000000000*e[14]*ep2[24]+.5000000000*e[14]*ep2[21]-.5000000000*e[14]*ep2[25]+e[23]*e[21]*e[12]+e[23]*e[22]*e[13]+e[26]*e[21]*e[15]+e[26]*e[12]*e[24]+e[26]*e[23]*e[17]+e[26]*e[22]*e[16]+e[26]*e[13]*e[25]+e[17]*e[22]*e[25]+e[17]*e[21]*e[24]+e[11]*e[19]*e[22]+e[11]*e[18]*e[21]+e[11]*e[20]*e[23]+e[20]*e[18]*e[12]+e[20]*e[9]*e[21]+e[20]*e[19]*e[13]+e[20]*e[10]*e[22]-1.*e[23]*e[24]*e[15]-1.*e[23]*e[25]*e[16]-1.*e[23]*e[18]*e[9]-1.*e[23]*e[19]*e[10];
210 A[25]=1.500000000*e[27]*ep2[0]-.5000000000*e[27]*ep2[4]+.5000000000*e[27]*ep2[6]-.5000000000*e[27]*ep2[5]+.5000000000*e[27]*ep2[1]-.5000000000*e[27]*ep2[7]+.5000000000*e[27]*ep2[3]+.5000000000*e[27]*ep2[2]-.5000000000*e[27]*ep2[8]+e[0]*e[33]*e[6]+e[0]*e[30]*e[3]-1.*e[0]*e[35]*e[8]-1.*e[0]*e[31]*e[4]+e[3]*e[28]*e[4]+e[3]*e[1]*e[31]+e[3]*e[29]*e[5]+e[3]*e[2]*e[32]+e[30]*e[1]*e[4]+e[30]*e[2]*e[5]+e[6]*e[28]*e[7]+e[6]*e[1]*e[34]+e[6]*e[29]*e[8]+e[6]*e[2]*e[35]+e[33]*e[1]*e[7]+e[33]*e[2]*e[8]+e[0]*e[28]*e[1]+e[0]*e[29]*e[2]-1.*e[0]*e[34]*e[7]-1.*e[0]*e[32]*e[5];
211 A[139]=e[8]*e[22]*e[25]+e[8]*e[21]*e[24]+e[20]*e[18]*e[3]+e[20]*e[0]*e[21]+e[20]*e[19]*e[4]+e[20]*e[1]*e[22]+e[20]*e[2]*e[23]+e[23]*e[21]*e[3]+e[23]*e[22]*e[4]+e[23]*e[26]*e[8]-1.*e[23]*e[19]*e[1]-1.*e[23]*e[18]*e[0]-1.*e[23]*e[25]*e[7]-1.*e[23]*e[24]*e[6]+e[2]*e[19]*e[22]+e[2]*e[18]*e[21]+e[26]*e[21]*e[6]+e[26]*e[3]*e[24]+e[26]*e[22]*e[7]+e[26]*e[4]*e[25]+.5000000000*ep2[20]*e[5]+1.500000000*ep2[23]*e[5]+.5000000000*e[5]*ep2[22]+.5000000000*e[5]*ep2[21]+.5000000000*e[5]*ep2[26]-.5000000000*e[5]*ep2[18]-.5000000000*e[5]*ep2[19]-.5000000000*e[5]*ep2[24]-.5000000000*e[5]*ep2[25];
212 A[24]=e[24]*e[11]*e[8]+e[24]*e[2]*e[17]+3.*e[9]*e[18]*e[0]+e[9]*e[19]*e[1]+e[9]*e[20]*e[2]+e[18]*e[10]*e[1]+e[18]*e[11]*e[2]+e[3]*e[18]*e[12]+e[3]*e[9]*e[21]+e[3]*e[20]*e[14]+e[3]*e[11]*e[23]+e[3]*e[19]*e[13]+e[3]*e[10]*e[22]+e[6]*e[18]*e[15]+e[6]*e[9]*e[24]+e[6]*e[20]*e[17]+e[6]*e[11]*e[26]+e[6]*e[19]*e[16]+e[6]*e[10]*e[25]+e[0]*e[20]*e[11]+e[0]*e[19]*e[10]-1.*e[9]*e[26]*e[8]-1.*e[9]*e[22]*e[4]-1.*e[9]*e[25]*e[7]-1.*e[9]*e[23]*e[5]+e[12]*e[0]*e[21]+e[12]*e[19]*e[4]+e[12]*e[1]*e[22]+e[12]*e[20]*e[5]+e[12]*e[2]*e[23]-1.*e[18]*e[13]*e[4]-1.*e[18]*e[16]*e[7]-1.*e[18]*e[14]*e[5]-1.*e[18]*e[17]*e[8]+e[21]*e[10]*e[4]+e[21]*e[1]*e[13]+e[21]*e[11]*e[5]+e[21]*e[2]*e[14]+e[15]*e[0]*e[24]+e[15]*e[19]*e[7]+e[15]*e[1]*e[25]+e[15]*e[20]*e[8]+e[15]*e[2]*e[26]-1.*e[0]*e[23]*e[14]-1.*e[0]*e[25]*e[16]-1.*e[0]*e[26]*e[17]-1.*e[0]*e[22]*e[13]+e[24]*e[10]*e[7]+e[24]*e[1]*e[16];
213 A[138]=e[11]*e[1]*e[4]+e[11]*e[0]*e[3]+e[11]*e[2]*e[5]+e[5]*e[12]*e[3]+e[5]*e[13]*e[4]+e[8]*e[12]*e[6]+e[8]*e[3]*e[15]+e[8]*e[13]*e[7]+e[8]*e[4]*e[16]+e[8]*e[5]*e[17]+e[17]*e[4]*e[7]+e[17]*e[3]*e[6]-1.*e[5]*e[10]*e[1]-1.*e[5]*e[16]*e[7]-1.*e[5]*e[15]*e[6]-1.*e[5]*e[9]*e[0]+e[2]*e[9]*e[3]+e[2]*e[0]*e[12]+e[2]*e[10]*e[4]+e[2]*e[1]*e[13]+.5000000000*ep2[2]*e[14]-.5000000000*e[14]*ep2[0]-.5000000000*e[14]*ep2[6]-.5000000000*e[14]*ep2[1]-.5000000000*e[14]*ep2[7]+1.500000000*e[14]*ep2[5]+.5000000000*e[14]*ep2[4]+.5000000000*e[14]*ep2[3]+.5000000000*e[14]*ep2[8];
214 A[31]=e[3]*e[27]*e[12]+e[3]*e[9]*e[30]+e[3]*e[29]*e[14]+e[3]*e[11]*e[32]+e[3]*e[28]*e[13]+e[3]*e[10]*e[31]+e[6]*e[27]*e[15]+e[6]*e[9]*e[33]+e[6]*e[29]*e[17]+e[6]*e[11]*e[35]+e[6]*e[28]*e[16]+e[6]*e[10]*e[34]+3.*e[0]*e[27]*e[9]+e[0]*e[29]*e[11]+e[0]*e[28]*e[10]-1.*e[9]*e[34]*e[7]-1.*e[9]*e[32]*e[5]-1.*e[9]*e[35]*e[8]+e[9]*e[29]*e[2]+e[9]*e[28]*e[1]-1.*e[9]*e[31]*e[4]+e[12]*e[0]*e[30]+e[12]*e[28]*e[4]+e[12]*e[1]*e[31]+e[12]*e[29]*e[5]+e[12]*e[2]*e[32]+e[27]*e[11]*e[2]+e[27]*e[10]*e[1]-1.*e[27]*e[13]*e[4]-1.*e[27]*e[16]*e[7]-1.*e[27]*e[14]*e[5]-1.*e[27]*e[17]*e[8]+e[30]*e[10]*e[4]+e[30]*e[1]*e[13]+e[30]*e[11]*e[5]+e[30]*e[2]*e[14]+e[15]*e[0]*e[33]+e[15]*e[28]*e[7]+e[15]*e[1]*e[34]+e[15]*e[29]*e[8]+e[15]*e[2]*e[35]-1.*e[0]*e[31]*e[13]-1.*e[0]*e[32]*e[14]-1.*e[0]*e[34]*e[16]-1.*e[0]*e[35]*e[17]+e[33]*e[10]*e[7]+e[33]*e[1]*e[16]+e[33]*e[11]*e[8]+e[33]*e[2]*e[17];
215 A[141]=.5000000000*ep2[30]*e[6]+.5000000000*e[6]*ep2[27]-.5000000000*e[6]*ep2[32]-.5000000000*e[6]*ep2[28]-.5000000000*e[6]*ep2[29]-.5000000000*e[6]*ep2[31]+1.500000000*e[6]*ep2[33]+.5000000000*e[6]*ep2[34]+.5000000000*e[6]*ep2[35]+e[0]*e[27]*e[33]+e[0]*e[29]*e[35]+e[0]*e[28]*e[34]+e[3]*e[30]*e[33]+e[3]*e[32]*e[35]+e[3]*e[31]*e[34]+e[30]*e[31]*e[7]+e[30]*e[4]*e[34]+e[30]*e[32]*e[8]+e[30]*e[5]*e[35]+e[27]*e[28]*e[7]+e[27]*e[1]*e[34]+e[27]*e[29]*e[8]+e[27]*e[2]*e[35]+e[33]*e[34]*e[7]+e[33]*e[35]*e[8]-1.*e[33]*e[32]*e[5]-1.*e[33]*e[29]*e[2]-1.*e[33]*e[28]*e[1]-1.*e[33]*e[31]*e[4];
216 A[30]=e[24]*e[20]*e[26]+e[21]*e[19]*e[22]-.5000000000*e[18]*ep2[22]-.5000000000*e[18]*ep2[25]+.5000000000*ep3[18]+.5000000000*e[18]*ep2[21]+e[21]*e[20]*e[23]+.5000000000*e[18]*ep2[20]+.5000000000*e[18]*ep2[19]+.5000000000*e[18]*ep2[24]+e[24]*e[19]*e[25]-.5000000000*e[18]*ep2[23]-.5000000000*e[18]*ep2[26];
217 A[140]=.5000000000*e[33]*ep2[35]+.5000000000*ep3[33]+.5000000000*ep2[27]*e[33]+.5000000000*ep2[30]*e[33]-.5000000000*e[33]*ep2[29]+.5000000000*e[33]*ep2[34]-.5000000000*e[33]*ep2[32]-.5000000000*e[33]*ep2[28]+e[30]*e[32]*e[35]-.5000000000*e[33]*ep2[31]+e[27]*e[29]*e[35]+e[27]*e[28]*e[34]+e[30]*e[31]*e[34];
218 A[29]=1.500000000*e[27]*ep2[18]+.5000000000*e[27]*ep2[19]+.5000000000*e[27]*ep2[20]+.5000000000*e[27]*ep2[21]+.5000000000*e[27]*ep2[24]-.5000000000*e[27]*ep2[26]-.5000000000*e[27]*ep2[23]-.5000000000*e[27]*ep2[22]-.5000000000*e[27]*ep2[25]+e[33]*e[20]*e[26]-1.*e[18]*e[35]*e[26]-1.*e[18]*e[31]*e[22]-1.*e[18]*e[32]*e[23]-1.*e[18]*e[34]*e[25]+e[18]*e[28]*e[19]+e[18]*e[29]*e[20]+e[21]*e[18]*e[30]+e[21]*e[28]*e[22]+e[21]*e[19]*e[31]+e[21]*e[29]*e[23]+e[21]*e[20]*e[32]+e[30]*e[19]*e[22]+e[30]*e[20]*e[23]+e[24]*e[18]*e[33]+e[24]*e[28]*e[25]+e[24]*e[19]*e[34]+e[24]*e[29]*e[26]+e[24]*e[20]*e[35]+e[33]*e[19]*e[25];
219 A[143]=e[9]*e[27]*e[33]+e[9]*e[29]*e[35]+e[9]*e[28]*e[34]+e[33]*e[35]*e[17]+e[33]*e[34]*e[16]+e[27]*e[29]*e[17]+e[27]*e[11]*e[35]+e[27]*e[28]*e[16]+e[27]*e[10]*e[34]+e[33]*e[30]*e[12]-1.*e[33]*e[28]*e[10]-1.*e[33]*e[31]*e[13]-1.*e[33]*e[32]*e[14]-1.*e[33]*e[29]*e[11]+e[30]*e[32]*e[17]+e[30]*e[14]*e[35]+e[30]*e[31]*e[16]+e[30]*e[13]*e[34]+e[12]*e[32]*e[35]+e[12]*e[31]*e[34]+.5000000000*e[15]*ep2[27]-.5000000000*e[15]*ep2[32]-.5000000000*e[15]*ep2[28]-.5000000000*e[15]*ep2[29]-.5000000000*e[15]*ep2[31]+1.500000000*e[15]*ep2[33]+.5000000000*e[15]*ep2[30]+.5000000000*e[15]*ep2[34]+.5000000000*e[15]*ep2[35];
220 A[28]=.5000000000*e[9]*ep2[12]-.5000000000*e[9]*ep2[16]+.5000000000*e[9]*ep2[10]-.5000000000*e[9]*ep2[17]-.5000000000*e[9]*ep2[13]+e[15]*e[10]*e[16]+e[12]*e[11]*e[14]+.5000000000*e[9]*ep2[11]+.5000000000*e[9]*ep2[15]-.5000000000*e[9]*ep2[14]+e[15]*e[11]*e[17]+.5000000000*ep3[9]+e[12]*e[10]*e[13];
221 A[142]=e[18]*e[27]*e[33]+e[18]*e[29]*e[35]+e[18]*e[28]*e[34]+e[27]*e[28]*e[25]+e[27]*e[19]*e[34]+e[27]*e[29]*e[26]+e[27]*e[20]*e[35]+e[21]*e[30]*e[33]+e[21]*e[32]*e[35]+e[21]*e[31]*e[34]+e[30]*e[31]*e[25]+e[30]*e[22]*e[34]+e[30]*e[32]*e[26]+e[30]*e[23]*e[35]+e[33]*e[34]*e[25]+e[33]*e[35]*e[26]-1.*e[33]*e[29]*e[20]-1.*e[33]*e[31]*e[22]-1.*e[33]*e[32]*e[23]-1.*e[33]*e[28]*e[19]+.5000000000*ep2[27]*e[24]+.5000000000*ep2[30]*e[24]+1.500000000*e[24]*ep2[33]+.5000000000*e[24]*ep2[35]+.5000000000*e[24]*ep2[34]-.5000000000*e[24]*ep2[32]-.5000000000*e[24]*ep2[28]-.5000000000*e[24]*ep2[29]-.5000000000*e[24]*ep2[31];
222 A[36]=.5000000000*e[9]*ep2[21]+.5000000000*e[9]*ep2[24]+.5000000000*e[9]*ep2[19]+1.500000000*e[9]*ep2[18]+.5000000000*e[9]*ep2[20]-.5000000000*e[9]*ep2[26]-.5000000000*e[9]*ep2[23]-.5000000000*e[9]*ep2[22]-.5000000000*e[9]*ep2[25]+e[21]*e[18]*e[12]+e[21]*e[20]*e[14]+e[21]*e[11]*e[23]+e[21]*e[19]*e[13]+e[21]*e[10]*e[22]+e[24]*e[18]*e[15]+e[24]*e[20]*e[17]+e[24]*e[11]*e[26]+e[24]*e[19]*e[16]+e[24]*e[10]*e[25]+e[15]*e[19]*e[25]+e[15]*e[20]*e[26]+e[12]*e[19]*e[22]+e[12]*e[20]*e[23]+e[18]*e[20]*e[11]+e[18]*e[19]*e[10]-1.*e[18]*e[23]*e[14]-1.*e[18]*e[25]*e[16]-1.*e[18]*e[26]*e[17]-1.*e[18]*e[22]*e[13];
223 A[182]=.5000000000*ep2[29]*e[26]+.5000000000*ep2[32]*e[26]+.5000000000*e[26]*ep2[33]+1.500000000*e[26]*ep2[35]+.5000000000*e[26]*ep2[34]-.5000000000*e[26]*ep2[27]-.5000000000*e[26]*ep2[28]-.5000000000*e[26]*ep2[31]-.5000000000*e[26]*ep2[30]+e[20]*e[27]*e[33]+e[20]*e[29]*e[35]+e[20]*e[28]*e[34]+e[29]*e[27]*e[24]+e[29]*e[18]*e[33]+e[29]*e[28]*e[25]+e[29]*e[19]*e[34]+e[23]*e[30]*e[33]+e[23]*e[32]*e[35]+e[23]*e[31]*e[34]+e[32]*e[30]*e[24]+e[32]*e[21]*e[33]+e[32]*e[31]*e[25]+e[32]*e[22]*e[34]+e[35]*e[33]*e[24]+e[35]*e[34]*e[25]-1.*e[35]*e[27]*e[18]-1.*e[35]*e[30]*e[21]-1.*e[35]*e[31]*e[22]-1.*e[35]*e[28]*e[19];
224 A[37]=e[12]*e[19]*e[31]+e[12]*e[29]*e[23]+e[12]*e[20]*e[32]+3.*e[9]*e[27]*e[18]+e[9]*e[28]*e[19]+e[9]*e[29]*e[20]+e[21]*e[9]*e[30]+e[21]*e[29]*e[14]+e[21]*e[11]*e[32]+e[21]*e[28]*e[13]+e[21]*e[10]*e[31]+e[30]*e[20]*e[14]+e[30]*e[11]*e[23]+e[30]*e[19]*e[13]+e[30]*e[10]*e[22]+e[9]*e[33]*e[24]-1.*e[9]*e[35]*e[26]-1.*e[9]*e[31]*e[22]-1.*e[9]*e[32]*e[23]-1.*e[9]*e[34]*e[25]+e[18]*e[29]*e[11]+e[18]*e[28]*e[10]+e[27]*e[20]*e[11]+e[27]*e[19]*e[10]+e[15]*e[27]*e[24]+e[15]*e[18]*e[33]+e[15]*e[28]*e[25]+e[15]*e[19]*e[34]+e[15]*e[29]*e[26]+e[15]*e[20]*e[35]-1.*e[18]*e[31]*e[13]-1.*e[18]*e[32]*e[14]-1.*e[18]*e[34]*e[16]-1.*e[18]*e[35]*e[17]-1.*e[27]*e[23]*e[14]-1.*e[27]*e[25]*e[16]-1.*e[27]*e[26]*e[17]-1.*e[27]*e[22]*e[13]+e[24]*e[29]*e[17]+e[24]*e[11]*e[35]+e[24]*e[28]*e[16]+e[24]*e[10]*e[34]+e[33]*e[20]*e[17]+e[33]*e[11]*e[26]+e[33]*e[19]*e[16]+e[33]*e[10]*e[25]+e[12]*e[27]*e[21]+e[12]*e[18]*e[30]+e[12]*e[28]*e[22];
225 A[183]=-.5000000000*e[17]*ep2[27]+.5000000000*e[17]*ep2[32]-.5000000000*e[17]*ep2[28]+.5000000000*e[17]*ep2[29]-.5000000000*e[17]*ep2[31]+.5000000000*e[17]*ep2[33]-.5000000000*e[17]*ep2[30]+.5000000000*e[17]*ep2[34]+1.500000000*e[17]*ep2[35]+e[32]*e[30]*e[15]+e[32]*e[12]*e[33]+e[32]*e[31]*e[16]+e[32]*e[13]*e[34]+e[14]*e[30]*e[33]+e[14]*e[31]*e[34]+e[11]*e[27]*e[33]+e[11]*e[29]*e[35]+e[11]*e[28]*e[34]+e[35]*e[33]*e[15]+e[35]*e[34]*e[16]+e[29]*e[27]*e[15]+e[29]*e[9]*e[33]+e[29]*e[28]*e[16]+e[29]*e[10]*e[34]-1.*e[35]*e[27]*e[9]-1.*e[35]*e[30]*e[12]-1.*e[35]*e[28]*e[10]-1.*e[35]*e[31]*e[13]+e[35]*e[32]*e[14];
226 A[38]=.5000000000*e[9]*ep2[1]+1.500000000*e[9]*ep2[0]+.5000000000*e[9]*ep2[2]+.5000000000*e[9]*ep2[3]+.5000000000*e[9]*ep2[6]-.5000000000*e[9]*ep2[4]-.5000000000*e[9]*ep2[5]-.5000000000*e[9]*ep2[7]-.5000000000*e[9]*ep2[8]+e[6]*e[0]*e[15]+e[6]*e[10]*e[7]+e[6]*e[1]*e[16]+e[6]*e[11]*e[8]+e[6]*e[2]*e[17]+e[15]*e[1]*e[7]+e[15]*e[2]*e[8]+e[0]*e[11]*e[2]+e[0]*e[10]*e[1]-1.*e[0]*e[13]*e[4]-1.*e[0]*e[16]*e[7]-1.*e[0]*e[14]*e[5]-1.*e[0]*e[17]*e[8]+e[3]*e[0]*e[12]+e[3]*e[10]*e[4]+e[3]*e[1]*e[13]+e[3]*e[11]*e[5]+e[3]*e[2]*e[14]+e[12]*e[1]*e[4]+e[12]*e[2]*e[5];
227 A[180]=.5000000000*e[35]*ep2[33]+.5000000000*e[35]*ep2[34]-.5000000000*e[35]*ep2[27]-.5000000000*e[35]*ep2[28]-.5000000000*e[35]*ep2[31]-.5000000000*e[35]*ep2[30]+e[32]*e[31]*e[34]+.5000000000*ep2[29]*e[35]+.5000000000*ep2[32]*e[35]+e[29]*e[28]*e[34]+e[32]*e[30]*e[33]+.5000000000*ep3[35]+e[29]*e[27]*e[33];
228 A[39]=.5000000000*e[0]*ep2[19]+.5000000000*e[0]*ep2[20]+.5000000000*e[0]*ep2[24]-.5000000000*e[0]*ep2[26]-.5000000000*e[0]*ep2[23]-.5000000000*e[0]*ep2[22]-.5000000000*e[0]*ep2[25]+1.500000000*ep2[18]*e[0]+.5000000000*e[0]*ep2[21]+e[18]*e[19]*e[1]+e[18]*e[20]*e[2]+e[21]*e[18]*e[3]+e[21]*e[19]*e[4]+e[21]*e[1]*e[22]+e[21]*e[20]*e[5]+e[21]*e[2]*e[23]-1.*e[18]*e[26]*e[8]-1.*e[18]*e[22]*e[4]-1.*e[18]*e[25]*e[7]-1.*e[18]*e[23]*e[5]+e[18]*e[24]*e[6]+e[3]*e[19]*e[22]+e[3]*e[20]*e[23]+e[24]*e[19]*e[7]+e[24]*e[1]*e[25]+e[24]*e[20]*e[8]+e[24]*e[2]*e[26]+e[6]*e[19]*e[25]+e[6]*e[20]*e[26];
229 A[181]=.5000000000*ep2[32]*e[8]-.5000000000*e[8]*ep2[27]-.5000000000*e[8]*ep2[28]+.5000000000*e[8]*ep2[29]-.5000000000*e[8]*ep2[31]+.5000000000*e[8]*ep2[33]-.5000000000*e[8]*ep2[30]+.5000000000*e[8]*ep2[34]+1.500000000*e[8]*ep2[35]+e[2]*e[27]*e[33]+e[2]*e[29]*e[35]+e[2]*e[28]*e[34]+e[5]*e[30]*e[33]+e[5]*e[32]*e[35]+e[5]*e[31]*e[34]+e[32]*e[30]*e[6]+e[32]*e[3]*e[33]+e[32]*e[31]*e[7]+e[32]*e[4]*e[34]+e[29]*e[27]*e[6]+e[29]*e[0]*e[33]+e[29]*e[28]*e[7]+e[29]*e[1]*e[34]+e[35]*e[33]*e[6]+e[35]*e[34]*e[7]-1.*e[35]*e[27]*e[0]-1.*e[35]*e[30]*e[3]-1.*e[35]*e[28]*e[1]-1.*e[35]*e[31]*e[4];
230 A[32]=-.5000000000*e[18]*ep2[4]+1.500000000*e[18]*ep2[0]+.5000000000*e[18]*ep2[6]-.5000000000*e[18]*ep2[5]+.5000000000*e[18]*ep2[1]-.5000000000*e[18]*ep2[7]+.5000000000*e[18]*ep2[3]+.5000000000*e[18]*ep2[2]-.5000000000*e[18]*ep2[8]+e[3]*e[0]*e[21]+e[3]*e[19]*e[4]+e[3]*e[1]*e[22]+e[3]*e[20]*e[5]+e[3]*e[2]*e[23]+e[21]*e[1]*e[4]+e[21]*e[2]*e[5]+e[6]*e[0]*e[24]+e[6]*e[19]*e[7]+e[6]*e[1]*e[25]+e[6]*e[20]*e[8]+e[6]*e[2]*e[26]+e[24]*e[1]*e[7]+e[24]*e[2]*e[8]+e[0]*e[19]*e[1]+e[0]*e[20]*e[2]-1.*e[0]*e[26]*e[8]-1.*e[0]*e[22]*e[4]-1.*e[0]*e[25]*e[7]-1.*e[0]*e[23]*e[5];
231 A[178]=e[10]*e[1]*e[7]+e[10]*e[0]*e[6]+e[10]*e[2]*e[8]+e[4]*e[12]*e[6]+e[4]*e[3]*e[15]+e[4]*e[13]*e[7]+e[4]*e[14]*e[8]+e[4]*e[5]*e[17]+e[13]*e[3]*e[6]+e[13]*e[5]*e[8]+e[7]*e[15]*e[6]+e[7]*e[17]*e[8]-1.*e[7]*e[11]*e[2]-1.*e[7]*e[9]*e[0]-1.*e[7]*e[14]*e[5]-1.*e[7]*e[12]*e[3]+e[1]*e[9]*e[6]+e[1]*e[0]*e[15]+e[1]*e[11]*e[8]+e[1]*e[2]*e[17]+1.500000000*e[16]*ep2[7]+.5000000000*e[16]*ep2[6]+.5000000000*e[16]*ep2[8]+.5000000000*ep2[1]*e[16]-.5000000000*e[16]*ep2[0]-.5000000000*e[16]*ep2[5]-.5000000000*e[16]*ep2[3]-.5000000000*e[16]*ep2[2]+.5000000000*ep2[4]*e[16];
232 A[33]=e[0]*e[30]*e[21]-1.*e[0]*e[35]*e[26]-1.*e[0]*e[31]*e[22]-1.*e[0]*e[32]*e[23]-1.*e[0]*e[34]*e[25]-1.*e[18]*e[34]*e[7]-1.*e[18]*e[32]*e[5]-1.*e[18]*e[35]*e[8]-1.*e[18]*e[31]*e[4]-1.*e[27]*e[26]*e[8]-1.*e[27]*e[22]*e[4]-1.*e[27]*e[25]*e[7]-1.*e[27]*e[23]*e[5]+e[6]*e[28]*e[25]+e[6]*e[19]*e[34]+e[6]*e[29]*e[26]+e[6]*e[20]*e[35]+e[21]*e[28]*e[4]+e[21]*e[1]*e[31]+e[21]*e[29]*e[5]+e[21]*e[2]*e[32]+e[30]*e[19]*e[4]+e[30]*e[1]*e[22]+e[30]*e[20]*e[5]+e[30]*e[2]*e[23]+e[24]*e[27]*e[6]+e[24]*e[0]*e[33]+e[24]*e[28]*e[7]+e[24]*e[1]*e[34]+e[24]*e[29]*e[8]+e[24]*e[2]*e[35]+e[33]*e[18]*e[6]+e[33]*e[19]*e[7]+e[33]*e[1]*e[25]+e[33]*e[20]*e[8]+e[33]*e[2]*e[26]+3.*e[0]*e[27]*e[18]+e[0]*e[28]*e[19]+e[0]*e[29]*e[20]+e[18]*e[28]*e[1]+e[18]*e[29]*e[2]+e[27]*e[19]*e[1]+e[27]*e[20]*e[2]+e[3]*e[27]*e[21]+e[3]*e[18]*e[30]+e[3]*e[28]*e[22]+e[3]*e[19]*e[31]+e[3]*e[29]*e[23]+e[3]*e[20]*e[32];
233 A[179]=e[19]*e[18]*e[6]+e[19]*e[0]*e[24]+e[19]*e[1]*e[25]+e[19]*e[20]*e[8]+e[19]*e[2]*e[26]+e[22]*e[21]*e[6]+e[22]*e[3]*e[24]+e[22]*e[4]*e[25]+e[22]*e[23]*e[8]+e[22]*e[5]*e[26]-1.*e[25]*e[21]*e[3]+e[25]*e[26]*e[8]-1.*e[25]*e[20]*e[2]-1.*e[25]*e[18]*e[0]-1.*e[25]*e[23]*e[5]+e[25]*e[24]*e[6]+e[1]*e[18]*e[24]+e[1]*e[20]*e[26]+e[4]*e[21]*e[24]+e[4]*e[23]*e[26]+.5000000000*ep2[19]*e[7]+.5000000000*ep2[22]*e[7]+1.500000000*ep2[25]*e[7]+.5000000000*e[7]*ep2[26]-.5000000000*e[7]*ep2[18]-.5000000000*e[7]*ep2[23]-.5000000000*e[7]*ep2[20]+.5000000000*e[7]*ep2[24]-.5000000000*e[7]*ep2[21];
234 A[34]=.5000000000*e[18]*ep2[11]+1.500000000*e[18]*ep2[9]+.5000000000*e[18]*ep2[10]+.5000000000*e[18]*ep2[12]+.5000000000*e[18]*ep2[15]-.5000000000*e[18]*ep2[16]-.5000000000*e[18]*ep2[17]-.5000000000*e[18]*ep2[14]-.5000000000*e[18]*ep2[13]+e[12]*e[9]*e[21]+e[12]*e[20]*e[14]+e[12]*e[11]*e[23]+e[12]*e[19]*e[13]+e[12]*e[10]*e[22]+e[21]*e[11]*e[14]+e[21]*e[10]*e[13]+e[15]*e[9]*e[24]+e[15]*e[20]*e[17]+e[15]*e[11]*e[26]+e[15]*e[19]*e[16]+e[15]*e[10]*e[25]+e[24]*e[11]*e[17]+e[24]*e[10]*e[16]-1.*e[9]*e[23]*e[14]-1.*e[9]*e[25]*e[16]-1.*e[9]*e[26]*e[17]+e[9]*e[20]*e[11]+e[9]*e[19]*e[10]-1.*e[9]*e[22]*e[13];
235 A[176]=e[13]*e[21]*e[24]+e[13]*e[23]*e[26]+e[19]*e[18]*e[15]+e[19]*e[9]*e[24]+e[19]*e[20]*e[17]+e[19]*e[11]*e[26]-1.*e[25]*e[23]*e[14]-1.*e[25]*e[20]*e[11]-1.*e[25]*e[18]*e[9]-1.*e[25]*e[21]*e[12]+e[22]*e[21]*e[15]+e[22]*e[12]*e[24]+e[22]*e[23]*e[17]+e[22]*e[14]*e[26]+e[22]*e[13]*e[25]+e[25]*e[24]*e[15]+e[25]*e[26]*e[17]+e[10]*e[19]*e[25]+e[10]*e[18]*e[24]+e[10]*e[20]*e[26]-.5000000000*e[16]*ep2[18]-.5000000000*e[16]*ep2[23]+.5000000000*e[16]*ep2[19]-.5000000000*e[16]*ep2[20]-.5000000000*e[16]*ep2[21]+.5000000000*ep2[22]*e[16]+1.500000000*ep2[25]*e[16]+.5000000000*e[16]*ep2[24]+.5000000000*e[16]*ep2[26];
236 A[35]=.5000000000*e[0]*ep2[12]+.5000000000*e[0]*ep2[15]+.5000000000*e[0]*ep2[11]+1.500000000*e[0]*ep2[9]+.5000000000*e[0]*ep2[10]-.5000000000*e[0]*ep2[16]-.5000000000*e[0]*ep2[17]-.5000000000*e[0]*ep2[14]-.5000000000*e[0]*ep2[13]+e[12]*e[9]*e[3]+e[12]*e[10]*e[4]+e[12]*e[1]*e[13]+e[12]*e[11]*e[5]+e[12]*e[2]*e[14]+e[15]*e[9]*e[6]+e[15]*e[10]*e[7]+e[15]*e[1]*e[16]+e[15]*e[11]*e[8]+e[15]*e[2]*e[17]+e[6]*e[11]*e[17]+e[6]*e[10]*e[16]+e[3]*e[11]*e[14]+e[3]*e[10]*e[13]+e[9]*e[10]*e[1]+e[9]*e[11]*e[2]-1.*e[9]*e[13]*e[4]-1.*e[9]*e[16]*e[7]-1.*e[9]*e[14]*e[5]-1.*e[9]*e[17]*e[8];
237 A[177]=e[19]*e[11]*e[35]+e[28]*e[18]*e[15]+e[28]*e[9]*e[24]+e[28]*e[20]*e[17]+e[28]*e[11]*e[26]-1.*e[25]*e[27]*e[9]-1.*e[25]*e[30]*e[12]-1.*e[25]*e[32]*e[14]+e[25]*e[33]*e[15]+e[25]*e[35]*e[17]-1.*e[25]*e[29]*e[11]-1.*e[34]*e[23]*e[14]+e[34]*e[24]*e[15]+e[34]*e[26]*e[17]-1.*e[34]*e[20]*e[11]-1.*e[34]*e[18]*e[9]-1.*e[34]*e[21]*e[12]+e[13]*e[30]*e[24]+e[13]*e[21]*e[33]+e[13]*e[31]*e[25]+e[13]*e[22]*e[34]+e[13]*e[32]*e[26]+e[13]*e[23]*e[35]+e[10]*e[27]*e[24]+e[10]*e[18]*e[33]+e[10]*e[28]*e[25]+e[10]*e[19]*e[34]+e[10]*e[29]*e[26]+e[10]*e[20]*e[35]+e[22]*e[30]*e[15]+e[22]*e[12]*e[33]+e[22]*e[32]*e[17]+e[22]*e[14]*e[35]+e[22]*e[31]*e[16]+e[31]*e[21]*e[15]+e[31]*e[12]*e[24]+e[31]*e[23]*e[17]+e[31]*e[14]*e[26]-1.*e[16]*e[27]*e[18]+e[16]*e[33]*e[24]-1.*e[16]*e[30]*e[21]-1.*e[16]*e[29]*e[20]+e[16]*e[35]*e[26]-1.*e[16]*e[32]*e[23]+e[16]*e[28]*e[19]+3.*e[16]*e[34]*e[25]+e[19]*e[27]*e[15]+e[19]*e[9]*e[33]+e[19]*e[29]*e[17];
238 A[45]=e[4]*e[27]*e[3]+e[4]*e[0]*e[30]+e[4]*e[29]*e[5]+e[4]*e[2]*e[32]+e[31]*e[0]*e[3]+e[31]*e[2]*e[5]+e[7]*e[27]*e[6]+e[7]*e[0]*e[33]+e[7]*e[29]*e[8]+e[7]*e[2]*e[35]+e[34]*e[0]*e[6]+e[34]*e[2]*e[8]+e[1]*e[27]*e[0]+e[1]*e[29]*e[2]+e[1]*e[34]*e[7]-1.*e[1]*e[32]*e[5]-1.*e[1]*e[33]*e[6]-1.*e[1]*e[30]*e[3]-1.*e[1]*e[35]*e[8]+e[1]*e[31]*e[4]+1.500000000*e[28]*ep2[1]+.5000000000*e[28]*ep2[4]+.5000000000*e[28]*ep2[0]-.5000000000*e[28]*ep2[6]-.5000000000*e[28]*ep2[5]+.5000000000*e[28]*ep2[7]-.5000000000*e[28]*ep2[3]+.5000000000*e[28]*ep2[2]-.5000000000*e[28]*ep2[8];
239 A[191]=-1.*e[35]*e[10]*e[1]-1.*e[35]*e[13]*e[4]+e[35]*e[16]*e[7]+e[35]*e[15]*e[6]-1.*e[35]*e[9]*e[0]-1.*e[35]*e[12]*e[3]+e[32]*e[12]*e[6]+e[32]*e[3]*e[15]+e[32]*e[13]*e[7]+e[32]*e[4]*e[16]-1.*e[8]*e[27]*e[9]-1.*e[8]*e[30]*e[12]-1.*e[8]*e[28]*e[10]-1.*e[8]*e[31]*e[13]+e[8]*e[29]*e[11]+e[11]*e[27]*e[6]+e[11]*e[0]*e[33]+e[11]*e[28]*e[7]+e[11]*e[1]*e[34]+e[29]*e[9]*e[6]+e[29]*e[0]*e[15]+e[29]*e[10]*e[7]+e[29]*e[1]*e[16]+e[5]*e[30]*e[15]+e[5]*e[12]*e[33]+e[5]*e[32]*e[17]+e[5]*e[14]*e[35]+e[5]*e[31]*e[16]+e[5]*e[13]*e[34]+e[8]*e[33]*e[15]+3.*e[8]*e[35]*e[17]+e[8]*e[34]*e[16]+e[2]*e[27]*e[15]+e[2]*e[9]*e[33]+e[2]*e[29]*e[17]+e[2]*e[11]*e[35]+e[2]*e[28]*e[16]+e[2]*e[10]*e[34]-1.*e[17]*e[27]*e[0]+e[17]*e[34]*e[7]+e[17]*e[33]*e[6]-1.*e[17]*e[30]*e[3]-1.*e[17]*e[28]*e[1]-1.*e[17]*e[31]*e[4]+e[14]*e[30]*e[6]+e[14]*e[3]*e[33]+e[14]*e[31]*e[7]+e[14]*e[4]*e[34]+e[14]*e[32]*e[8];
240 A[44]=e[19]*e[11]*e[2]+e[4]*e[18]*e[12]+e[4]*e[9]*e[21]+e[4]*e[20]*e[14]+e[4]*e[11]*e[23]+e[4]*e[19]*e[13]+e[4]*e[10]*e[22]+e[7]*e[18]*e[15]+e[7]*e[9]*e[24]+e[7]*e[20]*e[17]+e[7]*e[11]*e[26]+e[7]*e[19]*e[16]+e[7]*e[10]*e[25]+e[1]*e[18]*e[9]+e[1]*e[20]*e[11]-1.*e[10]*e[21]*e[3]-1.*e[10]*e[26]*e[8]-1.*e[10]*e[23]*e[5]-1.*e[10]*e[24]*e[6]+e[13]*e[18]*e[3]+e[13]*e[0]*e[21]+e[13]*e[1]*e[22]+e[13]*e[20]*e[5]+e[13]*e[2]*e[23]-1.*e[19]*e[15]*e[6]-1.*e[19]*e[14]*e[5]-1.*e[19]*e[12]*e[3]-1.*e[19]*e[17]*e[8]+e[22]*e[9]*e[3]+e[22]*e[0]*e[12]+e[22]*e[11]*e[5]+e[22]*e[2]*e[14]+e[16]*e[18]*e[6]+e[16]*e[0]*e[24]+e[16]*e[1]*e[25]+e[16]*e[20]*e[8]+e[16]*e[2]*e[26]-1.*e[1]*e[23]*e[14]-1.*e[1]*e[24]*e[15]-1.*e[1]*e[26]*e[17]-1.*e[1]*e[21]*e[12]+e[25]*e[9]*e[6]+e[25]*e[0]*e[15]+e[25]*e[11]*e[8]+e[25]*e[2]*e[17]+e[10]*e[18]*e[0]+3.*e[10]*e[19]*e[1]+e[10]*e[20]*e[2]+e[19]*e[9]*e[0];
241 A[190]=.5000000000*ep2[23]*e[26]+.5000000000*e[26]*ep2[25]+.5000000000*ep2[20]*e[26]-.5000000000*e[26]*ep2[18]+.5000000000*ep3[26]+.5000000000*e[26]*ep2[24]+e[20]*e[19]*e[25]-.5000000000*e[26]*ep2[19]-.5000000000*e[26]*ep2[21]+e[20]*e[18]*e[24]-.5000000000*e[26]*ep2[22]+e[23]*e[21]*e[24]+e[23]*e[22]*e[25];
242 A[47]=e[16]*e[9]*e[33]+e[16]*e[29]*e[17]+e[16]*e[11]*e[35]+e[16]*e[10]*e[34]+e[34]*e[11]*e[17]+e[34]*e[9]*e[15]-1.*e[10]*e[30]*e[12]-1.*e[10]*e[32]*e[14]-1.*e[10]*e[33]*e[15]-1.*e[10]*e[35]*e[17]+e[10]*e[27]*e[9]+e[10]*e[29]*e[11]+e[13]*e[27]*e[12]+e[13]*e[9]*e[30]+e[13]*e[29]*e[14]+e[13]*e[11]*e[32]+e[13]*e[10]*e[31]+e[31]*e[11]*e[14]+e[31]*e[9]*e[12]+e[16]*e[27]*e[15]+1.500000000*e[28]*ep2[10]+.5000000000*e[28]*ep2[16]+.5000000000*e[28]*ep2[9]+.5000000000*e[28]*ep2[11]-.5000000000*e[28]*ep2[12]-.5000000000*e[28]*ep2[15]-.5000000000*e[28]*ep2[17]-.5000000000*e[28]*ep2[14]+.5000000000*e[28]*ep2[13];
243 A[189]=.5000000000*ep2[20]*e[35]+.5000000000*ep2[23]*e[35]+1.500000000*e[35]*ep2[26]+.5000000000*e[35]*ep2[25]+.5000000000*e[35]*ep2[24]-.5000000000*e[35]*ep2[18]-.5000000000*e[35]*ep2[19]-.5000000000*e[35]*ep2[22]-.5000000000*e[35]*ep2[21]+e[20]*e[27]*e[24]+e[20]*e[18]*e[33]+e[20]*e[28]*e[25]+e[20]*e[19]*e[34]+e[20]*e[29]*e[26]+e[29]*e[19]*e[25]+e[29]*e[18]*e[24]+e[23]*e[30]*e[24]+e[23]*e[21]*e[33]+e[23]*e[31]*e[25]+e[23]*e[22]*e[34]+e[23]*e[32]*e[26]+e[32]*e[22]*e[25]+e[32]*e[21]*e[24]+e[26]*e[33]*e[24]+e[26]*e[34]*e[25]-1.*e[26]*e[27]*e[18]-1.*e[26]*e[30]*e[21]-1.*e[26]*e[31]*e[22]-1.*e[26]*e[28]*e[19];
244 A[46]=e[4]*e[2]*e[5]+.5000000000*e[1]*ep2[0]-.5000000000*e[1]*ep2[6]+e[7]*e[0]*e[6]+.5000000000*e[1]*ep2[7]+.5000000000*e[1]*ep2[4]-.5000000000*e[1]*ep2[8]+.5000000000*e[1]*ep2[2]-.5000000000*e[1]*ep2[3]+.5000000000*ep3[1]+e[7]*e[2]*e[8]-.5000000000*e[1]*ep2[5]+e[4]*e[0]*e[3];
245 A[188]=-.5000000000*e[17]*ep2[13]-.5000000000*e[17]*ep2[9]+.5000000000*e[17]*ep2[16]+.5000000000*e[17]*ep2[15]+.5000000000*ep3[17]-.5000000000*e[17]*ep2[10]+e[14]*e[13]*e[16]+e[14]*e[12]*e[15]+.5000000000*ep2[14]*e[17]+e[11]*e[10]*e[16]-.5000000000*e[17]*ep2[12]+.5000000000*ep2[11]*e[17]+e[11]*e[9]*e[15];
246 A[41]=e[4]*e[27]*e[30]+e[4]*e[29]*e[32]+e[4]*e[28]*e[31]+e[31]*e[27]*e[3]+e[31]*e[0]*e[30]+e[31]*e[29]*e[5]+e[31]*e[2]*e[32]+e[7]*e[27]*e[33]+e[7]*e[29]*e[35]+e[7]*e[28]*e[34]+e[28]*e[27]*e[0]+e[28]*e[29]*e[2]+e[34]*e[27]*e[6]+e[34]*e[0]*e[33]+e[34]*e[29]*e[8]+e[34]*e[2]*e[35]-1.*e[28]*e[32]*e[5]-1.*e[28]*e[33]*e[6]-1.*e[28]*e[30]*e[3]-1.*e[28]*e[35]*e[8]+.5000000000*e[1]*ep2[27]+.5000000000*e[1]*ep2[29]+1.500000000*e[1]*ep2[28]+.5000000000*e[1]*ep2[31]-.5000000000*e[1]*ep2[32]-.5000000000*e[1]*ep2[33]-.5000000000*e[1]*ep2[30]+.5000000000*e[1]*ep2[34]-.5000000000*e[1]*ep2[35];
247 A[187]=.5000000000*ep2[11]*e[35]+.5000000000*e[35]*ep2[16]-.5000000000*e[35]*ep2[9]-.5000000000*e[35]*ep2[12]+.5000000000*e[35]*ep2[15]+1.500000000*e[35]*ep2[17]-.5000000000*e[35]*ep2[10]+.5000000000*e[35]*ep2[14]-.5000000000*e[35]*ep2[13]+e[11]*e[27]*e[15]+e[11]*e[9]*e[33]+e[11]*e[29]*e[17]+e[11]*e[28]*e[16]+e[11]*e[10]*e[34]+e[29]*e[9]*e[15]+e[29]*e[10]*e[16]+e[14]*e[30]*e[15]+e[14]*e[12]*e[33]+e[14]*e[32]*e[17]+e[14]*e[31]*e[16]+e[14]*e[13]*e[34]+e[32]*e[12]*e[15]+e[32]*e[13]*e[16]+e[17]*e[33]*e[15]+e[17]*e[34]*e[16]-1.*e[17]*e[27]*e[9]-1.*e[17]*e[30]*e[12]-1.*e[17]*e[28]*e[10]-1.*e[17]*e[31]*e[13];
248 A[40]=e[34]*e[27]*e[33]+e[34]*e[29]*e[35]-.5000000000*e[28]*ep2[30]-.5000000000*e[28]*ep2[35]+.5000000000*ep3[28]+.5000000000*e[28]*ep2[27]+.5000000000*e[28]*ep2[29]+e[31]*e[27]*e[30]+e[31]*e[29]*e[32]-.5000000000*e[28]*ep2[32]-.5000000000*e[28]*ep2[33]+.5000000000*e[28]*ep2[31]+.5000000000*e[28]*ep2[34];
249 A[186]=.5000000000*ep2[5]*e[8]+e[2]*e[0]*e[6]+.5000000000*ep2[2]*e[8]+.5000000000*ep3[8]-.5000000000*e[8]*ep2[0]+e[5]*e[4]*e[7]+e[5]*e[3]*e[6]+.5000000000*e[8]*ep2[7]+e[2]*e[1]*e[7]-.5000000000*e[8]*ep2[1]-.5000000000*e[8]*ep2[4]-.5000000000*e[8]*ep2[3]+.5000000000*e[8]*ep2[6];
250 A[43]=e[28]*e[27]*e[9]+e[28]*e[29]*e[11]-1.*e[28]*e[30]*e[12]+e[28]*e[31]*e[13]-1.*e[28]*e[32]*e[14]-1.*e[28]*e[33]*e[15]-1.*e[28]*e[35]*e[17]+e[31]*e[27]*e[12]+e[31]*e[9]*e[30]+e[31]*e[29]*e[14]+e[31]*e[11]*e[32]+e[13]*e[27]*e[30]+e[13]*e[29]*e[32]+e[16]*e[27]*e[33]+e[16]*e[29]*e[35]+e[34]*e[27]*e[15]+e[34]*e[9]*e[33]+e[34]*e[29]*e[17]+e[34]*e[11]*e[35]+e[34]*e[28]*e[16]+.5000000000*e[10]*ep2[27]+.5000000000*e[10]*ep2[29]+1.500000000*e[10]*ep2[28]-.5000000000*e[10]*ep2[32]+.5000000000*e[10]*ep2[31]-.5000000000*e[10]*ep2[33]-.5000000000*e[10]*ep2[30]+.5000000000*e[10]*ep2[34]-.5000000000*e[10]*ep2[35];
251 A[185]=-.5000000000*e[35]*ep2[1]+.5000000000*e[35]*ep2[7]-.5000000000*e[35]*ep2[3]+.5000000000*ep2[2]*e[35]+1.500000000*e[35]*ep2[8]-.5000000000*e[35]*ep2[4]-.5000000000*e[35]*ep2[0]+.5000000000*e[35]*ep2[6]+.5000000000*e[35]*ep2[5]+e[2]*e[27]*e[6]+e[2]*e[0]*e[33]+e[2]*e[28]*e[7]+e[2]*e[1]*e[34]+e[2]*e[29]*e[8]-1.*e[8]*e[27]*e[0]+e[8]*e[34]*e[7]+e[8]*e[32]*e[5]+e[8]*e[33]*e[6]-1.*e[8]*e[30]*e[3]-1.*e[8]*e[28]*e[1]-1.*e[8]*e[31]*e[4]+e[29]*e[1]*e[7]+e[29]*e[0]*e[6]+e[5]*e[30]*e[6]+e[5]*e[3]*e[33]+e[5]*e[31]*e[7]+e[5]*e[4]*e[34]+e[32]*e[4]*e[7]+e[32]*e[3]*e[6];
252 A[42]=e[28]*e[27]*e[18]+e[28]*e[29]*e[20]+e[22]*e[27]*e[30]+e[22]*e[29]*e[32]+e[22]*e[28]*e[31]+e[31]*e[27]*e[21]+e[31]*e[18]*e[30]+e[31]*e[29]*e[23]+e[31]*e[20]*e[32]+e[25]*e[27]*e[33]+e[25]*e[29]*e[35]+e[25]*e[28]*e[34]+e[34]*e[27]*e[24]+e[34]*e[18]*e[33]+e[34]*e[29]*e[26]+e[34]*e[20]*e[35]-1.*e[28]*e[33]*e[24]-1.*e[28]*e[30]*e[21]-1.*e[28]*e[35]*e[26]-1.*e[28]*e[32]*e[23]-.5000000000*e[19]*ep2[33]-.5000000000*e[19]*ep2[30]-.5000000000*e[19]*ep2[35]+.5000000000*e[19]*ep2[27]+.5000000000*e[19]*ep2[29]+1.500000000*e[19]*ep2[28]+.5000000000*e[19]*ep2[31]+.5000000000*e[19]*ep2[34]-.5000000000*e[19]*ep2[32];
253 A[184]=e[23]*e[3]*e[15]-1.*e[17]*e[19]*e[1]-1.*e[17]*e[22]*e[4]-1.*e[17]*e[18]*e[0]+e[17]*e[25]*e[7]+e[17]*e[24]*e[6]+e[14]*e[21]*e[6]+e[14]*e[3]*e[24]+e[14]*e[22]*e[7]+e[14]*e[4]*e[25]+e[14]*e[23]*e[8]-1.*e[26]*e[10]*e[1]-1.*e[26]*e[13]*e[4]+e[26]*e[16]*e[7]+e[26]*e[15]*e[6]-1.*e[26]*e[9]*e[0]-1.*e[26]*e[12]*e[3]+e[23]*e[12]*e[6]+e[11]*e[18]*e[6]+e[11]*e[0]*e[24]+e[11]*e[19]*e[7]+e[11]*e[1]*e[25]+e[11]*e[20]*e[8]+e[11]*e[2]*e[26]+e[20]*e[9]*e[6]+e[20]*e[0]*e[15]+e[20]*e[10]*e[7]+e[20]*e[1]*e[16]+e[20]*e[2]*e[17]+e[5]*e[21]*e[15]+e[5]*e[12]*e[24]+e[5]*e[23]*e[17]+e[5]*e[14]*e[26]+e[5]*e[22]*e[16]+e[5]*e[13]*e[25]+e[8]*e[24]*e[15]+3.*e[8]*e[26]*e[17]+e[8]*e[25]*e[16]+e[2]*e[18]*e[15]+e[2]*e[9]*e[24]+e[2]*e[19]*e[16]+e[2]*e[10]*e[25]-1.*e[17]*e[21]*e[3]+e[23]*e[4]*e[16]+e[23]*e[13]*e[7]-1.*e[8]*e[18]*e[9]-1.*e[8]*e[21]*e[12]-1.*e[8]*e[19]*e[10]-1.*e[8]*e[22]*e[13];
254 A[54]=e[13]*e[18]*e[12]+e[13]*e[9]*e[21]+e[13]*e[20]*e[14]+e[13]*e[11]*e[23]+e[13]*e[10]*e[22]+e[22]*e[11]*e[14]+e[22]*e[9]*e[12]+e[16]*e[18]*e[15]+e[16]*e[9]*e[24]+e[16]*e[20]*e[17]+e[16]*e[11]*e[26]+e[16]*e[10]*e[25]+e[25]*e[11]*e[17]+e[25]*e[9]*e[15]-1.*e[10]*e[23]*e[14]-1.*e[10]*e[24]*e[15]-1.*e[10]*e[26]*e[17]+e[10]*e[20]*e[11]+e[10]*e[18]*e[9]-1.*e[10]*e[21]*e[12]+.5000000000*e[19]*ep2[11]+.5000000000*e[19]*ep2[9]+1.500000000*e[19]*ep2[10]+.5000000000*e[19]*ep2[13]+.5000000000*e[19]*ep2[16]-.5000000000*e[19]*ep2[12]-.5000000000*e[19]*ep2[15]-.5000000000*e[19]*ep2[17]-.5000000000*e[19]*ep2[14];
255 A[164]=e[10]*e[18]*e[6]+e[10]*e[0]*e[24]+e[10]*e[19]*e[7]+e[10]*e[1]*e[25]+e[10]*e[20]*e[8]+e[10]*e[2]*e[26]+e[19]*e[9]*e[6]+e[19]*e[0]*e[15]+e[19]*e[1]*e[16]+e[19]*e[11]*e[8]+e[19]*e[2]*e[17]+e[4]*e[21]*e[15]+e[4]*e[12]*e[24]+e[4]*e[23]*e[17]+e[4]*e[14]*e[26]+e[4]*e[22]*e[16]+e[4]*e[13]*e[25]+e[7]*e[24]*e[15]+e[7]*e[26]*e[17]+3.*e[7]*e[25]*e[16]+e[1]*e[18]*e[15]+e[1]*e[9]*e[24]+e[1]*e[20]*e[17]+e[1]*e[11]*e[26]-1.*e[16]*e[21]*e[3]+e[16]*e[26]*e[8]-1.*e[16]*e[20]*e[2]-1.*e[16]*e[18]*e[0]-1.*e[16]*e[23]*e[5]+e[16]*e[24]*e[6]+e[13]*e[21]*e[6]+e[13]*e[3]*e[24]+e[13]*e[22]*e[7]+e[13]*e[23]*e[8]+e[13]*e[5]*e[26]-1.*e[25]*e[11]*e[2]+e[25]*e[15]*e[6]-1.*e[25]*e[9]*e[0]-1.*e[25]*e[14]*e[5]-1.*e[25]*e[12]*e[3]+e[25]*e[17]*e[8]+e[22]*e[12]*e[6]+e[22]*e[3]*e[15]+e[22]*e[14]*e[8]+e[22]*e[5]*e[17]-1.*e[7]*e[23]*e[14]-1.*e[7]*e[20]*e[11]-1.*e[7]*e[18]*e[9]-1.*e[7]*e[21]*e[12];
256 A[55]=e[13]*e[9]*e[3]+e[13]*e[0]*e[12]+e[13]*e[10]*e[4]+e[13]*e[11]*e[5]+e[13]*e[2]*e[14]+e[16]*e[9]*e[6]+e[16]*e[0]*e[15]+e[16]*e[10]*e[7]+e[16]*e[11]*e[8]+e[16]*e[2]*e[17]+e[7]*e[11]*e[17]+e[7]*e[9]*e[15]+e[4]*e[11]*e[14]+e[4]*e[9]*e[12]+e[10]*e[9]*e[0]+e[10]*e[11]*e[2]-1.*e[10]*e[15]*e[6]-1.*e[10]*e[14]*e[5]-1.*e[10]*e[12]*e[3]-1.*e[10]*e[17]*e[8]+.5000000000*e[1]*ep2[11]+.5000000000*e[1]*ep2[9]+1.500000000*e[1]*ep2[10]-.5000000000*e[1]*ep2[12]-.5000000000*e[1]*ep2[15]-.5000000000*e[1]*ep2[17]-.5000000000*e[1]*ep2[14]+.5000000000*e[1]*ep2[13]+.5000000000*e[1]*ep2[16];
257 A[165]=e[1]*e[27]*e[6]+e[1]*e[0]*e[33]+e[1]*e[28]*e[7]+e[1]*e[29]*e[8]+e[1]*e[2]*e[35]-1.*e[7]*e[27]*e[0]-1.*e[7]*e[32]*e[5]+e[7]*e[33]*e[6]-1.*e[7]*e[30]*e[3]+e[7]*e[35]*e[8]-1.*e[7]*e[29]*e[2]+e[7]*e[31]*e[4]+e[28]*e[0]*e[6]+e[28]*e[2]*e[8]+e[4]*e[30]*e[6]+e[4]*e[3]*e[33]+e[4]*e[32]*e[8]+e[4]*e[5]*e[35]+e[31]*e[3]*e[6]+e[31]*e[5]*e[8]+.5000000000*ep2[1]*e[34]+1.500000000*e[34]*ep2[7]+.5000000000*e[34]*ep2[4]-.5000000000*e[34]*ep2[0]+.5000000000*e[34]*ep2[6]-.5000000000*e[34]*ep2[5]-.5000000000*e[34]*ep2[3]-.5000000000*e[34]*ep2[2]+.5000000000*e[34]*ep2[8];
258 A[52]=e[4]*e[18]*e[3]+e[4]*e[0]*e[21]+e[4]*e[1]*e[22]+e[4]*e[20]*e[5]+e[4]*e[2]*e[23]+e[22]*e[0]*e[3]+e[22]*e[2]*e[5]+e[7]*e[18]*e[6]+e[7]*e[0]*e[24]+e[7]*e[1]*e[25]+e[7]*e[20]*e[8]+e[7]*e[2]*e[26]+e[25]*e[0]*e[6]+e[25]*e[2]*e[8]+e[1]*e[18]*e[0]+e[1]*e[20]*e[2]-1.*e[1]*e[21]*e[3]-1.*e[1]*e[26]*e[8]-1.*e[1]*e[23]*e[5]-1.*e[1]*e[24]*e[6]+.5000000000*e[19]*ep2[4]+.5000000000*e[19]*ep2[0]-.5000000000*e[19]*ep2[6]-.5000000000*e[19]*ep2[5]+1.500000000*e[19]*ep2[1]+.5000000000*e[19]*ep2[7]-.5000000000*e[19]*ep2[3]+.5000000000*e[19]*ep2[2]-.5000000000*e[19]*ep2[8];
259 A[166]=-.5000000000*e[7]*ep2[0]+e[4]*e[5]*e[8]+.5000000000*ep2[4]*e[7]-.5000000000*e[7]*ep2[2]+.5000000000*e[7]*ep2[8]-.5000000000*e[7]*ep2[5]+.5000000000*e[7]*ep2[6]+e[1]*e[0]*e[6]+.5000000000*ep3[7]+e[4]*e[3]*e[6]+e[1]*e[2]*e[8]-.5000000000*e[7]*ep2[3]+.5000000000*ep2[1]*e[7];
260 A[53]=-1.*e[1]*e[32]*e[23]-1.*e[19]*e[32]*e[5]-1.*e[19]*e[33]*e[6]-1.*e[19]*e[30]*e[3]-1.*e[19]*e[35]*e[8]-1.*e[28]*e[21]*e[3]-1.*e[28]*e[26]*e[8]-1.*e[28]*e[23]*e[5]-1.*e[28]*e[24]*e[6]+e[7]*e[27]*e[24]+e[7]*e[18]*e[33]+e[7]*e[29]*e[26]+e[7]*e[20]*e[35]+e[22]*e[27]*e[3]+e[22]*e[0]*e[30]+e[22]*e[29]*e[5]+e[22]*e[2]*e[32]+e[31]*e[18]*e[3]+e[31]*e[0]*e[21]+e[31]*e[20]*e[5]+e[31]*e[2]*e[23]+e[25]*e[27]*e[6]+e[25]*e[0]*e[33]+e[25]*e[28]*e[7]+e[25]*e[1]*e[34]+e[25]*e[29]*e[8]+e[25]*e[2]*e[35]+e[34]*e[18]*e[6]+e[34]*e[0]*e[24]+e[34]*e[19]*e[7]+e[34]*e[20]*e[8]+e[34]*e[2]*e[26]+e[1]*e[27]*e[18]+3.*e[1]*e[28]*e[19]+e[1]*e[29]*e[20]+e[19]*e[27]*e[0]+e[19]*e[29]*e[2]+e[28]*e[18]*e[0]+e[28]*e[20]*e[2]+e[4]*e[27]*e[21]+e[4]*e[18]*e[30]+e[4]*e[28]*e[22]+e[4]*e[19]*e[31]+e[4]*e[29]*e[23]+e[4]*e[20]*e[32]-1.*e[1]*e[33]*e[24]-1.*e[1]*e[30]*e[21]-1.*e[1]*e[35]*e[26]+e[1]*e[31]*e[22];
261 A[167]=e[10]*e[27]*e[15]+e[10]*e[9]*e[33]+e[10]*e[29]*e[17]+e[10]*e[11]*e[35]+e[10]*e[28]*e[16]+e[28]*e[11]*e[17]+e[28]*e[9]*e[15]+e[13]*e[30]*e[15]+e[13]*e[12]*e[33]+e[13]*e[32]*e[17]+e[13]*e[14]*e[35]+e[13]*e[31]*e[16]+e[31]*e[14]*e[17]+e[31]*e[12]*e[15]+e[16]*e[33]*e[15]+e[16]*e[35]*e[17]-1.*e[16]*e[27]*e[9]-1.*e[16]*e[30]*e[12]-1.*e[16]*e[32]*e[14]-1.*e[16]*e[29]*e[11]+.5000000000*ep2[10]*e[34]+1.500000000*e[34]*ep2[16]-.5000000000*e[34]*ep2[9]-.5000000000*e[34]*ep2[11]-.5000000000*e[34]*ep2[12]+.5000000000*e[34]*ep2[15]+.5000000000*e[34]*ep2[17]-.5000000000*e[34]*ep2[14]+.5000000000*e[34]*ep2[13];
262 A[50]=.5000000000*e[19]*ep2[18]+.5000000000*e[19]*ep2[25]+.5000000000*e[19]*ep2[22]+e[25]*e[20]*e[26]-.5000000000*e[19]*ep2[21]+.5000000000*e[19]*ep2[20]-.5000000000*e[19]*ep2[26]-.5000000000*e[19]*ep2[23]-.5000000000*e[19]*ep2[24]+.5000000000*ep3[19]+e[22]*e[20]*e[23]+e[25]*e[18]*e[24]+e[22]*e[18]*e[21];
263 A[160]=.5000000000*e[34]*ep2[33]+.5000000000*e[34]*ep2[35]-.5000000000*e[34]*ep2[27]-.5000000000*e[34]*ep2[32]-.5000000000*e[34]*ep2[29]-.5000000000*e[34]*ep2[30]+.5000000000*ep2[28]*e[34]+e[31]*e[30]*e[33]+e[31]*e[32]*e[35]+e[28]*e[27]*e[33]+.5000000000*ep3[34]+e[28]*e[29]*e[35]+.5000000000*ep2[31]*e[34];
264 A[51]=e[4]*e[28]*e[13]+e[4]*e[10]*e[31]+e[7]*e[27]*e[15]+e[7]*e[9]*e[33]+e[7]*e[29]*e[17]+e[7]*e[11]*e[35]+e[7]*e[28]*e[16]+e[7]*e[10]*e[34]+e[1]*e[27]*e[9]+e[1]*e[29]*e[11]+3.*e[1]*e[28]*e[10]+e[10]*e[27]*e[0]-1.*e[10]*e[32]*e[5]-1.*e[10]*e[33]*e[6]-1.*e[10]*e[30]*e[3]-1.*e[10]*e[35]*e[8]+e[10]*e[29]*e[2]+e[13]*e[27]*e[3]+e[13]*e[0]*e[30]+e[13]*e[1]*e[31]+e[13]*e[29]*e[5]+e[13]*e[2]*e[32]+e[28]*e[11]*e[2]-1.*e[28]*e[15]*e[6]+e[28]*e[9]*e[0]-1.*e[28]*e[14]*e[5]-1.*e[28]*e[12]*e[3]-1.*e[28]*e[17]*e[8]+e[31]*e[9]*e[3]+e[31]*e[0]*e[12]+e[31]*e[11]*e[5]+e[31]*e[2]*e[14]+e[16]*e[27]*e[6]+e[16]*e[0]*e[33]+e[16]*e[1]*e[34]+e[16]*e[29]*e[8]+e[16]*e[2]*e[35]-1.*e[1]*e[30]*e[12]-1.*e[1]*e[32]*e[14]-1.*e[1]*e[33]*e[15]-1.*e[1]*e[35]*e[17]+e[34]*e[9]*e[6]+e[34]*e[0]*e[15]+e[34]*e[11]*e[8]+e[34]*e[2]*e[17]+e[4]*e[27]*e[12]+e[4]*e[9]*e[30]+e[4]*e[29]*e[14]+e[4]*e[11]*e[32];
265 A[161]=e[4]*e[30]*e[33]+e[4]*e[32]*e[35]+e[4]*e[31]*e[34]+e[31]*e[30]*e[6]+e[31]*e[3]*e[33]+e[31]*e[32]*e[8]+e[31]*e[5]*e[35]+e[28]*e[27]*e[6]+e[28]*e[0]*e[33]+e[28]*e[29]*e[8]+e[28]*e[2]*e[35]+e[34]*e[33]*e[6]+e[34]*e[35]*e[8]-1.*e[34]*e[27]*e[0]-1.*e[34]*e[32]*e[5]-1.*e[34]*e[30]*e[3]-1.*e[34]*e[29]*e[2]+e[1]*e[27]*e[33]+e[1]*e[29]*e[35]+e[1]*e[28]*e[34]+.5000000000*ep2[31]*e[7]-.5000000000*e[7]*ep2[27]-.5000000000*e[7]*ep2[32]+.5000000000*e[7]*ep2[28]-.5000000000*e[7]*ep2[29]+.5000000000*e[7]*ep2[33]-.5000000000*e[7]*ep2[30]+1.500000000*e[7]*ep2[34]+.5000000000*e[7]*ep2[35];
266 A[48]=-.5000000000*e[10]*ep2[14]-.5000000000*e[10]*ep2[17]-.5000000000*e[10]*ep2[15]+e[13]*e[11]*e[14]+e[16]*e[11]*e[17]+.5000000000*e[10]*ep2[13]+e[13]*e[9]*e[12]-.5000000000*e[10]*ep2[12]+.5000000000*ep3[10]+e[16]*e[9]*e[15]+.5000000000*e[10]*ep2[16]+.5000000000*e[10]*ep2[11]+.5000000000*e[10]*ep2[9];
267 A[162]=e[22]*e[32]*e[35]+e[22]*e[31]*e[34]+e[31]*e[30]*e[24]+e[31]*e[21]*e[33]+e[31]*e[32]*e[26]+e[31]*e[23]*e[35]+e[34]*e[33]*e[24]+e[34]*e[35]*e[26]-1.*e[34]*e[27]*e[18]-1.*e[34]*e[30]*e[21]-1.*e[34]*e[29]*e[20]-1.*e[34]*e[32]*e[23]+e[19]*e[27]*e[33]+e[19]*e[29]*e[35]+e[19]*e[28]*e[34]+e[28]*e[27]*e[24]+e[28]*e[18]*e[33]+e[28]*e[29]*e[26]+e[28]*e[20]*e[35]+e[22]*e[30]*e[33]+.5000000000*ep2[28]*e[25]+.5000000000*ep2[31]*e[25]+.5000000000*e[25]*ep2[33]+.5000000000*e[25]*ep2[35]+1.500000000*e[25]*ep2[34]-.5000000000*e[25]*ep2[27]-.5000000000*e[25]*ep2[32]-.5000000000*e[25]*ep2[29]-.5000000000*e[25]*ep2[30];
268 A[49]=-1.*e[19]*e[35]*e[26]-1.*e[19]*e[32]*e[23]+e[19]*e[27]*e[18]+e[19]*e[29]*e[20]+e[22]*e[27]*e[21]+e[22]*e[18]*e[30]+e[22]*e[19]*e[31]+e[22]*e[29]*e[23]+e[22]*e[20]*e[32]+e[31]*e[18]*e[21]+e[31]*e[20]*e[23]+e[25]*e[27]*e[24]+e[25]*e[18]*e[33]+e[25]*e[19]*e[34]+e[25]*e[29]*e[26]+e[25]*e[20]*e[35]+e[34]*e[18]*e[24]+e[34]*e[20]*e[26]-1.*e[19]*e[33]*e[24]-1.*e[19]*e[30]*e[21]+1.500000000*e[28]*ep2[19]+.5000000000*e[28]*ep2[18]+.5000000000*e[28]*ep2[20]+.5000000000*e[28]*ep2[22]+.5000000000*e[28]*ep2[25]-.5000000000*e[28]*ep2[26]-.5000000000*e[28]*ep2[23]-.5000000000*e[28]*ep2[24]-.5000000000*e[28]*ep2[21];
269 A[163]=e[10]*e[27]*e[33]+e[10]*e[29]*e[35]+e[10]*e[28]*e[34]+e[34]*e[33]*e[15]+e[34]*e[35]*e[17]+e[28]*e[27]*e[15]+e[28]*e[9]*e[33]+e[28]*e[29]*e[17]+e[28]*e[11]*e[35]-1.*e[34]*e[27]*e[9]-1.*e[34]*e[30]*e[12]+e[34]*e[31]*e[13]-1.*e[34]*e[32]*e[14]-1.*e[34]*e[29]*e[11]+e[31]*e[30]*e[15]+e[31]*e[12]*e[33]+e[31]*e[32]*e[17]+e[31]*e[14]*e[35]+e[13]*e[30]*e[33]+e[13]*e[32]*e[35]-.5000000000*e[16]*ep2[27]-.5000000000*e[16]*ep2[32]+.5000000000*e[16]*ep2[28]-.5000000000*e[16]*ep2[29]+.5000000000*e[16]*ep2[31]+.5000000000*e[16]*ep2[33]-.5000000000*e[16]*ep2[30]+1.500000000*e[16]*ep2[34]+.5000000000*e[16]*ep2[35];
270 A[63]=e[29]*e[32]*e[14]-1.*e[29]*e[33]*e[15]-1.*e[29]*e[34]*e[16]+e[32]*e[27]*e[12]+e[32]*e[9]*e[30]+e[32]*e[28]*e[13]+e[32]*e[10]*e[31]+e[14]*e[27]*e[30]+e[14]*e[28]*e[31]+e[17]*e[27]*e[33]+e[17]*e[28]*e[34]+e[35]*e[27]*e[15]+e[35]*e[9]*e[33]+e[35]*e[29]*e[17]+e[35]*e[28]*e[16]+e[35]*e[10]*e[34]+e[29]*e[27]*e[9]+e[29]*e[28]*e[10]-1.*e[29]*e[30]*e[12]-1.*e[29]*e[31]*e[13]+.5000000000*e[11]*ep2[27]+1.500000000*e[11]*ep2[29]+.5000000000*e[11]*ep2[28]+.5000000000*e[11]*ep2[32]-.5000000000*e[11]*ep2[31]-.5000000000*e[11]*ep2[33]-.5000000000*e[11]*ep2[30]-.5000000000*e[11]*ep2[34]+.5000000000*e[11]*ep2[35];
271 A[173]=e[1]*e[20]*e[35]+e[19]*e[27]*e[6]+e[19]*e[0]*e[33]+e[19]*e[28]*e[7]+e[19]*e[29]*e[8]+e[19]*e[2]*e[35]+e[28]*e[18]*e[6]+e[28]*e[0]*e[24]+e[28]*e[20]*e[8]+e[28]*e[2]*e[26]+e[4]*e[30]*e[24]+e[4]*e[21]*e[33]+e[4]*e[31]*e[25]+e[4]*e[22]*e[34]+e[4]*e[32]*e[26]+e[4]*e[23]*e[35]-1.*e[7]*e[27]*e[18]+e[7]*e[33]*e[24]-1.*e[7]*e[30]*e[21]-1.*e[7]*e[29]*e[20]+e[7]*e[35]*e[26]+e[7]*e[31]*e[22]-1.*e[7]*e[32]*e[23]-1.*e[25]*e[27]*e[0]-1.*e[25]*e[32]*e[5]-1.*e[25]*e[30]*e[3]-1.*e[25]*e[29]*e[2]-1.*e[34]*e[21]*e[3]-1.*e[34]*e[20]*e[2]-1.*e[34]*e[18]*e[0]-1.*e[34]*e[23]*e[5]+e[22]*e[30]*e[6]+e[22]*e[3]*e[33]+e[22]*e[32]*e[8]+e[22]*e[5]*e[35]+e[31]*e[21]*e[6]+e[31]*e[3]*e[24]+e[31]*e[23]*e[8]+e[31]*e[5]*e[26]+e[34]*e[26]*e[8]+e[1]*e[27]*e[24]+e[1]*e[18]*e[33]+e[1]*e[28]*e[25]+e[1]*e[19]*e[34]+e[1]*e[29]*e[26]+e[34]*e[24]*e[6]+e[25]*e[33]*e[6]+3.*e[25]*e[34]*e[7]+e[25]*e[35]*e[8];
272 A[62]=.5000000000*e[20]*ep2[27]+1.500000000*e[20]*ep2[29]+.5000000000*e[20]*ep2[28]+.5000000000*e[20]*ep2[32]+.5000000000*e[20]*ep2[35]-.5000000000*e[20]*ep2[31]-.5000000000*e[20]*ep2[33]-.5000000000*e[20]*ep2[30]-.5000000000*e[20]*ep2[34]+e[29]*e[27]*e[18]+e[29]*e[28]*e[19]+e[23]*e[27]*e[30]+e[23]*e[29]*e[32]+e[23]*e[28]*e[31]+e[32]*e[27]*e[21]+e[32]*e[18]*e[30]+e[32]*e[28]*e[22]+e[32]*e[19]*e[31]+e[26]*e[27]*e[33]+e[26]*e[29]*e[35]+e[26]*e[28]*e[34]+e[35]*e[27]*e[24]+e[35]*e[18]*e[33]+e[35]*e[28]*e[25]+e[35]*e[19]*e[34]-1.*e[29]*e[33]*e[24]-1.*e[29]*e[30]*e[21]-1.*e[29]*e[31]*e[22]-1.*e[29]*e[34]*e[25];
273 A[172]=e[19]*e[1]*e[7]+e[19]*e[0]*e[6]+e[19]*e[2]*e[8]+e[4]*e[21]*e[6]+e[4]*e[3]*e[24]+e[4]*e[22]*e[7]+e[4]*e[23]*e[8]+e[4]*e[5]*e[26]+e[22]*e[3]*e[6]+e[22]*e[5]*e[8]+e[7]*e[24]*e[6]+e[7]*e[26]*e[8]+e[1]*e[18]*e[6]+e[1]*e[0]*e[24]+e[1]*e[20]*e[8]+e[1]*e[2]*e[26]-1.*e[7]*e[21]*e[3]-1.*e[7]*e[20]*e[2]-1.*e[7]*e[18]*e[0]-1.*e[7]*e[23]*e[5]+.5000000000*e[25]*ep2[4]-.5000000000*e[25]*ep2[0]+.5000000000*e[25]*ep2[6]-.5000000000*e[25]*ep2[5]+.5000000000*e[25]*ep2[1]+1.500000000*e[25]*ep2[7]-.5000000000*e[25]*ep2[3]-.5000000000*e[25]*ep2[2]+.5000000000*e[25]*ep2[8];
274 A[61]=e[5]*e[27]*e[30]+e[5]*e[29]*e[32]+e[5]*e[28]*e[31]+e[32]*e[27]*e[3]+e[32]*e[0]*e[30]+e[32]*e[28]*e[4]+e[32]*e[1]*e[31]+e[8]*e[27]*e[33]+e[8]*e[29]*e[35]+e[8]*e[28]*e[34]+e[29]*e[27]*e[0]+e[29]*e[28]*e[1]+e[35]*e[27]*e[6]+e[35]*e[0]*e[33]+e[35]*e[28]*e[7]+e[35]*e[1]*e[34]-1.*e[29]*e[34]*e[7]-1.*e[29]*e[33]*e[6]-1.*e[29]*e[30]*e[3]-1.*e[29]*e[31]*e[4]+.5000000000*e[2]*ep2[27]+1.500000000*e[2]*ep2[29]+.5000000000*e[2]*ep2[28]+.5000000000*e[2]*ep2[32]-.5000000000*e[2]*ep2[31]-.5000000000*e[2]*ep2[33]-.5000000000*e[2]*ep2[30]-.5000000000*e[2]*ep2[34]+.5000000000*e[2]*ep2[35];
275 A[175]=e[13]*e[12]*e[6]+e[13]*e[3]*e[15]+e[13]*e[4]*e[16]+e[13]*e[14]*e[8]+e[13]*e[5]*e[17]+e[16]*e[15]*e[6]+e[16]*e[17]*e[8]+e[1]*e[11]*e[17]+e[1]*e[9]*e[15]+e[1]*e[10]*e[16]+e[4]*e[14]*e[17]+e[4]*e[12]*e[15]+e[10]*e[9]*e[6]+e[10]*e[0]*e[15]+e[10]*e[11]*e[8]+e[10]*e[2]*e[17]-1.*e[16]*e[11]*e[2]-1.*e[16]*e[9]*e[0]-1.*e[16]*e[14]*e[5]-1.*e[16]*e[12]*e[3]+.5000000000*ep2[13]*e[7]+1.500000000*ep2[16]*e[7]+.5000000000*e[7]*ep2[17]+.5000000000*e[7]*ep2[15]-.5000000000*e[7]*ep2[9]-.5000000000*e[7]*ep2[11]-.5000000000*e[7]*ep2[12]+.5000000000*e[7]*ep2[10]-.5000000000*e[7]*ep2[14];
276 A[60]=.5000000000*e[29]*ep2[32]+.5000000000*e[29]*ep2[35]-.5000000000*e[29]*ep2[31]-.5000000000*e[29]*ep2[33]-.5000000000*e[29]*ep2[30]-.5000000000*e[29]*ep2[34]+e[32]*e[27]*e[30]+.5000000000*ep3[29]+.5000000000*e[29]*ep2[28]+e[35]*e[28]*e[34]+.5000000000*e[29]*ep2[27]+e[35]*e[27]*e[33]+e[32]*e[28]*e[31];
277 A[174]=-1.*e[16]*e[21]*e[12]+e[10]*e[18]*e[15]+e[10]*e[9]*e[24]+e[10]*e[20]*e[17]+e[10]*e[11]*e[26]+e[19]*e[11]*e[17]+e[19]*e[9]*e[15]+e[19]*e[10]*e[16]+e[13]*e[21]*e[15]+e[13]*e[12]*e[24]+e[13]*e[23]*e[17]+e[13]*e[14]*e[26]+e[13]*e[22]*e[16]+e[22]*e[14]*e[17]+e[22]*e[12]*e[15]+e[16]*e[24]*e[15]+e[16]*e[26]*e[17]-1.*e[16]*e[23]*e[14]-1.*e[16]*e[20]*e[11]-1.*e[16]*e[18]*e[9]+.5000000000*ep2[13]*e[25]+1.500000000*e[25]*ep2[16]+.5000000000*e[25]*ep2[17]+.5000000000*e[25]*ep2[15]+.5000000000*ep2[10]*e[25]-.5000000000*e[25]*ep2[9]-.5000000000*e[25]*ep2[11]-.5000000000*e[25]*ep2[12]-.5000000000*e[25]*ep2[14];
278 A[59]=e[19]*e[20]*e[2]+e[22]*e[18]*e[3]+e[22]*e[0]*e[21]+e[22]*e[19]*e[4]+e[22]*e[20]*e[5]+e[22]*e[2]*e[23]-1.*e[19]*e[21]*e[3]-1.*e[19]*e[26]*e[8]+e[19]*e[25]*e[7]-1.*e[19]*e[23]*e[5]-1.*e[19]*e[24]*e[6]+e[4]*e[18]*e[21]+e[4]*e[20]*e[23]+e[25]*e[18]*e[6]+e[25]*e[0]*e[24]+e[25]*e[20]*e[8]+e[25]*e[2]*e[26]+e[7]*e[18]*e[24]+e[7]*e[20]*e[26]+e[19]*e[18]*e[0]+1.500000000*ep2[19]*e[1]+.5000000000*e[1]*ep2[22]+.5000000000*e[1]*ep2[18]+.5000000000*e[1]*ep2[20]+.5000000000*e[1]*ep2[25]-.5000000000*e[1]*ep2[26]-.5000000000*e[1]*ep2[23]-.5000000000*e[1]*ep2[24]-.5000000000*e[1]*ep2[21];
279 A[169]=e[19]*e[27]*e[24]+e[19]*e[18]*e[33]+e[19]*e[28]*e[25]+e[19]*e[29]*e[26]+e[19]*e[20]*e[35]+e[28]*e[18]*e[24]+e[28]*e[20]*e[26]+e[22]*e[30]*e[24]+e[22]*e[21]*e[33]+e[22]*e[31]*e[25]+e[22]*e[32]*e[26]+e[22]*e[23]*e[35]+e[31]*e[21]*e[24]+e[31]*e[23]*e[26]+e[25]*e[33]*e[24]+e[25]*e[35]*e[26]-1.*e[25]*e[27]*e[18]-1.*e[25]*e[30]*e[21]-1.*e[25]*e[29]*e[20]-1.*e[25]*e[32]*e[23]-.5000000000*e[34]*ep2[18]-.5000000000*e[34]*ep2[23]-.5000000000*e[34]*ep2[20]-.5000000000*e[34]*ep2[21]+.5000000000*ep2[19]*e[34]+.5000000000*ep2[22]*e[34]+1.500000000*e[34]*ep2[25]+.5000000000*e[34]*ep2[24]+.5000000000*e[34]*ep2[26];
280 A[58]=e[16]*e[0]*e[6]+e[16]*e[2]*e[8]+e[1]*e[11]*e[2]-1.*e[1]*e[15]*e[6]+e[1]*e[9]*e[0]-1.*e[1]*e[14]*e[5]-1.*e[1]*e[12]*e[3]-1.*e[1]*e[17]*e[8]+e[4]*e[9]*e[3]+e[4]*e[0]*e[12]+e[4]*e[1]*e[13]+e[4]*e[11]*e[5]+e[4]*e[2]*e[14]+e[13]*e[0]*e[3]+e[13]*e[2]*e[5]+e[7]*e[9]*e[6]+e[7]*e[0]*e[15]+e[7]*e[1]*e[16]+e[7]*e[11]*e[8]+e[7]*e[2]*e[17]-.5000000000*e[10]*ep2[6]-.5000000000*e[10]*ep2[5]-.5000000000*e[10]*ep2[3]-.5000000000*e[10]*ep2[8]+1.500000000*e[10]*ep2[1]+.5000000000*e[10]*ep2[0]+.5000000000*e[10]*ep2[2]+.5000000000*e[10]*ep2[4]+.5000000000*e[10]*ep2[7];
281 A[168]=e[13]*e[14]*e[17]+e[13]*e[12]*e[15]+e[10]*e[9]*e[15]+.5000000000*e[16]*ep2[15]-.5000000000*e[16]*ep2[11]-.5000000000*e[16]*ep2[12]-.5000000000*e[16]*ep2[14]+e[10]*e[11]*e[17]+.5000000000*ep2[10]*e[16]+.5000000000*ep3[16]-.5000000000*e[16]*ep2[9]+.5000000000*e[16]*ep2[17]+.5000000000*ep2[13]*e[16];
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285 A[170]=e[19]*e[20]*e[26]-.5000000000*e[25]*ep2[20]+e[22]*e[21]*e[24]+e[19]*e[18]*e[24]+.5000000000*ep2[22]*e[25]-.5000000000*e[25]*ep2[21]-.5000000000*e[25]*ep2[23]+.5000000000*ep2[19]*e[25]-.5000000000*e[25]*ep2[18]+.5000000000*e[25]*ep2[24]+.5000000000*e[25]*ep2[26]+.5000000000*ep3[25]+e[22]*e[23]*e[26];
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287 A[72]=e[5]*e[18]*e[3]+e[5]*e[0]*e[21]+e[5]*e[19]*e[4]+e[5]*e[1]*e[22]+e[5]*e[2]*e[23]+e[23]*e[1]*e[4]+e[23]*e[0]*e[3]+e[8]*e[18]*e[6]+e[8]*e[0]*e[24]+e[8]*e[19]*e[7]+e[8]*e[1]*e[25]+e[8]*e[2]*e[26]+e[26]*e[1]*e[7]+e[26]*e[0]*e[6]+e[2]*e[18]*e[0]+e[2]*e[19]*e[1]-1.*e[2]*e[21]*e[3]-1.*e[2]*e[22]*e[4]-1.*e[2]*e[25]*e[7]-1.*e[2]*e[24]*e[6]-.5000000000*e[20]*ep2[4]+.5000000000*e[20]*ep2[0]-.5000000000*e[20]*ep2[6]+.5000000000*e[20]*ep2[5]+.5000000000*e[20]*ep2[1]-.5000000000*e[20]*ep2[7]-.5000000000*e[20]*ep2[3]+1.500000000*e[20]*ep2[2]+.5000000000*e[20]*ep2[8];
288 A[75]=e[14]*e[9]*e[3]+e[14]*e[0]*e[12]+e[14]*e[10]*e[4]+e[14]*e[1]*e[13]+e[14]*e[11]*e[5]+e[17]*e[9]*e[6]+e[17]*e[0]*e[15]+e[17]*e[10]*e[7]+e[17]*e[1]*e[16]+e[17]*e[11]*e[8]+e[8]*e[9]*e[15]+e[8]*e[10]*e[16]+e[5]*e[9]*e[12]+e[5]*e[10]*e[13]+e[11]*e[9]*e[0]+e[11]*e[10]*e[1]-1.*e[11]*e[13]*e[4]-1.*e[11]*e[16]*e[7]-1.*e[11]*e[15]*e[6]-1.*e[11]*e[12]*e[3]+.5000000000*e[2]*ep2[14]+.5000000000*e[2]*ep2[17]+1.500000000*e[2]*ep2[11]+.5000000000*e[2]*ep2[9]+.5000000000*e[2]*ep2[10]-.5000000000*e[2]*ep2[16]-.5000000000*e[2]*ep2[12]-.5000000000*e[2]*ep2[15]-.5000000000*e[2]*ep2[13];
289 A[74]=e[14]*e[18]*e[12]+e[14]*e[9]*e[21]+e[14]*e[11]*e[23]+e[14]*e[19]*e[13]+e[14]*e[10]*e[22]+e[23]*e[9]*e[12]+e[23]*e[10]*e[13]+e[17]*e[18]*e[15]+e[17]*e[9]*e[24]+e[17]*e[11]*e[26]+e[17]*e[19]*e[16]+e[17]*e[10]*e[25]+e[26]*e[9]*e[15]+e[26]*e[10]*e[16]-1.*e[11]*e[24]*e[15]-1.*e[11]*e[25]*e[16]+e[11]*e[18]*e[9]-1.*e[11]*e[21]*e[12]+e[11]*e[19]*e[10]-1.*e[11]*e[22]*e[13]+1.500000000*e[20]*ep2[11]+.5000000000*e[20]*ep2[9]+.5000000000*e[20]*ep2[10]+.5000000000*e[20]*ep2[14]+.5000000000*e[20]*ep2[17]-.5000000000*e[20]*ep2[16]-.5000000000*e[20]*ep2[12]-.5000000000*e[20]*ep2[15]-.5000000000*e[20]*ep2[13];
290 A[77]=e[23]*e[10]*e[31]+e[32]*e[18]*e[12]+e[32]*e[9]*e[21]+e[32]*e[19]*e[13]+e[32]*e[10]*e[22]-1.*e[11]*e[33]*e[24]-1.*e[11]*e[30]*e[21]+e[11]*e[35]*e[26]-1.*e[11]*e[31]*e[22]-1.*e[11]*e[34]*e[25]+e[20]*e[27]*e[9]+e[20]*e[28]*e[10]+e[29]*e[18]*e[9]+e[29]*e[19]*e[10]+e[17]*e[27]*e[24]+e[17]*e[18]*e[33]+e[17]*e[28]*e[25]+e[17]*e[19]*e[34]+e[17]*e[29]*e[26]+e[17]*e[20]*e[35]-1.*e[20]*e[30]*e[12]-1.*e[20]*e[31]*e[13]-1.*e[20]*e[33]*e[15]-1.*e[20]*e[34]*e[16]-1.*e[29]*e[24]*e[15]-1.*e[29]*e[25]*e[16]-1.*e[29]*e[21]*e[12]-1.*e[29]*e[22]*e[13]+e[26]*e[27]*e[15]+e[26]*e[9]*e[33]+e[26]*e[28]*e[16]+e[26]*e[10]*e[34]+e[35]*e[18]*e[15]+e[35]*e[9]*e[24]+e[35]*e[19]*e[16]+e[35]*e[10]*e[25]+e[14]*e[27]*e[21]+e[14]*e[18]*e[30]+e[14]*e[28]*e[22]+e[14]*e[19]*e[31]+e[14]*e[29]*e[23]+e[14]*e[20]*e[32]+e[11]*e[27]*e[18]+e[11]*e[28]*e[19]+3.*e[11]*e[29]*e[20]+e[23]*e[27]*e[12]+e[23]*e[9]*e[30]+e[23]*e[11]*e[32]+e[23]*e[28]*e[13];
291 A[76]=e[23]*e[18]*e[12]+e[23]*e[9]*e[21]+e[23]*e[20]*e[14]+e[23]*e[19]*e[13]+e[23]*e[10]*e[22]+e[26]*e[18]*e[15]+e[26]*e[9]*e[24]+e[26]*e[20]*e[17]+e[26]*e[19]*e[16]+e[26]*e[10]*e[25]+e[17]*e[19]*e[25]+e[17]*e[18]*e[24]+e[14]*e[19]*e[22]+e[14]*e[18]*e[21]+e[20]*e[18]*e[9]+e[20]*e[19]*e[10]-1.*e[20]*e[24]*e[15]-1.*e[20]*e[25]*e[16]-1.*e[20]*e[21]*e[12]-1.*e[20]*e[22]*e[13]+.5000000000*e[11]*ep2[23]+.5000000000*e[11]*ep2[26]+.5000000000*e[11]*ep2[19]+.5000000000*e[11]*ep2[18]+1.500000000*e[11]*ep2[20]-.5000000000*e[11]*ep2[22]-.5000000000*e[11]*ep2[24]-.5000000000*e[11]*ep2[21]-.5000000000*e[11]*ep2[25];
292 A[79]=-1.*e[20]*e[21]*e[3]+e[20]*e[26]*e[8]-1.*e[20]*e[22]*e[4]-1.*e[20]*e[25]*e[7]-1.*e[20]*e[24]*e[6]+e[5]*e[19]*e[22]+e[5]*e[18]*e[21]+e[26]*e[18]*e[6]+e[26]*e[0]*e[24]+e[26]*e[19]*e[7]+e[26]*e[1]*e[25]+e[8]*e[19]*e[25]+e[8]*e[18]*e[24]+e[20]*e[18]*e[0]+e[20]*e[19]*e[1]+e[23]*e[18]*e[3]+e[23]*e[0]*e[21]+e[23]*e[19]*e[4]+e[23]*e[1]*e[22]+e[23]*e[20]*e[5]+1.500000000*ep2[20]*e[2]+.5000000000*e[2]*ep2[23]+.5000000000*e[2]*ep2[19]+.5000000000*e[2]*ep2[18]+.5000000000*e[2]*ep2[26]-.5000000000*e[2]*ep2[22]-.5000000000*e[2]*ep2[24]-.5000000000*e[2]*ep2[21]-.5000000000*e[2]*ep2[25];
293 A[78]=-1.*e[2]*e[15]*e[6]+e[2]*e[9]*e[0]-1.*e[2]*e[12]*e[3]+e[5]*e[9]*e[3]+e[5]*e[0]*e[12]+e[5]*e[10]*e[4]+e[5]*e[1]*e[13]+e[5]*e[2]*e[14]+e[14]*e[1]*e[4]+e[14]*e[0]*e[3]+e[8]*e[9]*e[6]+e[8]*e[0]*e[15]+e[8]*e[10]*e[7]+e[8]*e[1]*e[16]+e[8]*e[2]*e[17]+e[17]*e[1]*e[7]+e[17]*e[0]*e[6]+e[2]*e[10]*e[1]-1.*e[2]*e[13]*e[4]-1.*e[2]*e[16]*e[7]+.5000000000*e[11]*ep2[1]+.5000000000*e[11]*ep2[0]+1.500000000*e[11]*ep2[2]+.5000000000*e[11]*ep2[5]+.5000000000*e[11]*ep2[8]-.5000000000*e[11]*ep2[4]-.5000000000*e[11]*ep2[6]-.5000000000*e[11]*ep2[7]-.5000000000*e[11]*ep2[3];
294 A[64]=e[5]*e[19]*e[13]+e[5]*e[10]*e[22]+e[8]*e[18]*e[15]+e[8]*e[9]*e[24]+e[8]*e[20]*e[17]+e[8]*e[11]*e[26]+e[8]*e[19]*e[16]+e[8]*e[10]*e[25]+e[2]*e[18]*e[9]+e[2]*e[19]*e[10]-1.*e[11]*e[21]*e[3]-1.*e[11]*e[22]*e[4]-1.*e[11]*e[25]*e[7]-1.*e[11]*e[24]*e[6]+e[14]*e[18]*e[3]+e[14]*e[0]*e[21]+e[14]*e[19]*e[4]+e[14]*e[1]*e[22]+e[14]*e[2]*e[23]-1.*e[20]*e[13]*e[4]-1.*e[20]*e[16]*e[7]-1.*e[20]*e[15]*e[6]-1.*e[20]*e[12]*e[3]+e[23]*e[9]*e[3]+e[23]*e[0]*e[12]+e[23]*e[10]*e[4]+e[23]*e[1]*e[13]+e[17]*e[18]*e[6]+e[17]*e[0]*e[24]+e[17]*e[19]*e[7]+e[17]*e[1]*e[25]+e[17]*e[2]*e[26]-1.*e[2]*e[24]*e[15]-1.*e[2]*e[25]*e[16]-1.*e[2]*e[21]*e[12]-1.*e[2]*e[22]*e[13]+e[26]*e[9]*e[6]+e[26]*e[0]*e[15]+e[26]*e[10]*e[7]+e[26]*e[1]*e[16]+e[11]*e[18]*e[0]+e[11]*e[19]*e[1]+3.*e[11]*e[20]*e[2]+e[20]*e[9]*e[0]+e[20]*e[10]*e[1]+e[5]*e[18]*e[12]+e[5]*e[9]*e[21]+e[5]*e[20]*e[14]+e[5]*e[11]*e[23];
295 A[65]=e[32]*e[1]*e[4]+e[32]*e[0]*e[3]+e[8]*e[27]*e[6]+e[8]*e[0]*e[33]+e[8]*e[28]*e[7]+e[8]*e[1]*e[34]+e[35]*e[1]*e[7]+e[35]*e[0]*e[6]+e[2]*e[27]*e[0]+e[2]*e[28]*e[1]-1.*e[2]*e[34]*e[7]+e[2]*e[32]*e[5]-1.*e[2]*e[33]*e[6]-1.*e[2]*e[30]*e[3]+e[2]*e[35]*e[8]-1.*e[2]*e[31]*e[4]+e[5]*e[27]*e[3]+e[5]*e[0]*e[30]+e[5]*e[28]*e[4]+e[5]*e[1]*e[31]+1.500000000*e[29]*ep2[2]-.5000000000*e[29]*ep2[4]+.5000000000*e[29]*ep2[0]-.5000000000*e[29]*ep2[6]+.5000000000*e[29]*ep2[5]+.5000000000*e[29]*ep2[1]-.5000000000*e[29]*ep2[7]-.5000000000*e[29]*ep2[3]+.5000000000*e[29]*ep2[8];
296 A[66]=e[5]*e[0]*e[3]+e[8]*e[1]*e[7]+e[8]*e[0]*e[6]+e[5]*e[1]*e[4]-.5000000000*e[2]*ep2[4]+.5000000000*ep3[2]+.5000000000*e[2]*ep2[1]-.5000000000*e[2]*ep2[3]+.5000000000*e[2]*ep2[0]+.5000000000*e[2]*ep2[8]+.5000000000*e[2]*ep2[5]-.5000000000*e[2]*ep2[6]-.5000000000*e[2]*ep2[7];
297 A[67]=e[35]*e[9]*e[15]+e[35]*e[10]*e[16]-1.*e[11]*e[30]*e[12]-1.*e[11]*e[31]*e[13]-1.*e[11]*e[33]*e[15]-1.*e[11]*e[34]*e[16]+e[11]*e[27]*e[9]+e[11]*e[28]*e[10]+e[14]*e[27]*e[12]+e[14]*e[9]*e[30]+e[14]*e[11]*e[32]+e[14]*e[28]*e[13]+e[14]*e[10]*e[31]+e[32]*e[9]*e[12]+e[32]*e[10]*e[13]+e[17]*e[27]*e[15]+e[17]*e[9]*e[33]+e[17]*e[11]*e[35]+e[17]*e[28]*e[16]+e[17]*e[10]*e[34]+1.500000000*e[29]*ep2[11]-.5000000000*e[29]*ep2[16]+.5000000000*e[29]*ep2[9]-.5000000000*e[29]*ep2[12]-.5000000000*e[29]*ep2[15]+.5000000000*e[29]*ep2[17]+.5000000000*e[29]*ep2[10]+.5000000000*e[29]*ep2[14]-.5000000000*e[29]*ep2[13];
298 A[68]=e[14]*e[9]*e[12]+e[17]*e[10]*e[16]+e[17]*e[9]*e[15]+.5000000000*ep3[11]+e[14]*e[10]*e[13]+.5000000000*e[11]*ep2[10]-.5000000000*e[11]*ep2[15]+.5000000000*e[11]*ep2[14]-.5000000000*e[11]*ep2[13]-.5000000000*e[11]*ep2[12]+.5000000000*e[11]*ep2[9]-.5000000000*e[11]*ep2[16]+.5000000000*e[11]*ep2[17];
299 A[69]=e[20]*e[27]*e[18]+e[20]*e[28]*e[19]+e[23]*e[27]*e[21]+e[23]*e[18]*e[30]+e[23]*e[28]*e[22]+e[23]*e[19]*e[31]+e[23]*e[20]*e[32]+e[32]*e[19]*e[22]+e[32]*e[18]*e[21]+e[26]*e[27]*e[24]+e[26]*e[18]*e[33]+e[26]*e[28]*e[25]+e[26]*e[19]*e[34]+e[26]*e[20]*e[35]+e[35]*e[19]*e[25]+e[35]*e[18]*e[24]-1.*e[20]*e[33]*e[24]-1.*e[20]*e[30]*e[21]-1.*e[20]*e[31]*e[22]-1.*e[20]*e[34]*e[25]+.5000000000*e[29]*ep2[23]+.5000000000*e[29]*ep2[26]-.5000000000*e[29]*ep2[22]-.5000000000*e[29]*ep2[24]-.5000000000*e[29]*ep2[21]-.5000000000*e[29]*ep2[25]+1.500000000*e[29]*ep2[20]+.5000000000*e[29]*ep2[19]+.5000000000*e[29]*ep2[18];
300 A[70]=.5000000000*e[20]*ep2[26]+.5000000000*e[20]*ep2[18]+.5000000000*ep3[20]+.5000000000*e[20]*ep2[19]+e[26]*e[18]*e[24]+.5000000000*e[20]*ep2[23]-.5000000000*e[20]*ep2[25]+e[23]*e[19]*e[22]-.5000000000*e[20]*ep2[24]-.5000000000*e[20]*ep2[21]-.5000000000*e[20]*ep2[22]+e[23]*e[18]*e[21]+e[26]*e[19]*e[25];
301 A[71]=e[8]*e[28]*e[16]+e[8]*e[10]*e[34]+e[2]*e[27]*e[9]+3.*e[2]*e[29]*e[11]+e[2]*e[28]*e[10]+e[11]*e[27]*e[0]-1.*e[11]*e[34]*e[7]-1.*e[11]*e[33]*e[6]-1.*e[11]*e[30]*e[3]+e[11]*e[28]*e[1]-1.*e[11]*e[31]*e[4]+e[14]*e[27]*e[3]+e[14]*e[0]*e[30]+e[14]*e[28]*e[4]+e[14]*e[1]*e[31]+e[14]*e[2]*e[32]+e[29]*e[10]*e[1]-1.*e[29]*e[13]*e[4]-1.*e[29]*e[16]*e[7]-1.*e[29]*e[15]*e[6]+e[29]*e[9]*e[0]-1.*e[29]*e[12]*e[3]+e[32]*e[9]*e[3]+e[32]*e[0]*e[12]+e[32]*e[10]*e[4]+e[32]*e[1]*e[13]+e[17]*e[27]*e[6]+e[17]*e[0]*e[33]+e[17]*e[28]*e[7]+e[17]*e[1]*e[34]+e[17]*e[2]*e[35]-1.*e[2]*e[30]*e[12]-1.*e[2]*e[31]*e[13]-1.*e[2]*e[33]*e[15]-1.*e[2]*e[34]*e[16]+e[35]*e[9]*e[6]+e[35]*e[0]*e[15]+e[35]*e[10]*e[7]+e[35]*e[1]*e[16]+e[5]*e[27]*e[12]+e[5]*e[9]*e[30]+e[5]*e[29]*e[14]+e[5]*e[11]*e[32]+e[5]*e[28]*e[13]+e[5]*e[10]*e[31]+e[8]*e[27]*e[15]+e[8]*e[9]*e[33]+e[8]*e[29]*e[17]+e[8]*e[11]*e[35];
302 A[91]=-1.*e[12]*e[34]*e[7]+e[12]*e[32]*e[5]-1.*e[12]*e[35]*e[8]-1.*e[12]*e[29]*e[2]-1.*e[12]*e[28]*e[1]+e[12]*e[31]*e[4]-1.*e[30]*e[11]*e[2]-1.*e[30]*e[10]*e[1]+e[30]*e[13]*e[4]-1.*e[30]*e[16]*e[7]+e[30]*e[14]*e[5]-1.*e[30]*e[17]*e[8]+e[15]*e[3]*e[33]+e[15]*e[31]*e[7]+e[15]*e[4]*e[34]+e[15]*e[32]*e[8]+e[15]*e[5]*e[35]+e[3]*e[27]*e[9]-1.*e[3]*e[28]*e[10]-1.*e[3]*e[34]*e[16]-1.*e[3]*e[35]*e[17]-1.*e[3]*e[29]*e[11]+e[33]*e[13]*e[7]+e[33]*e[4]*e[16]+e[33]*e[14]*e[8]+e[33]*e[5]*e[17]+e[9]*e[28]*e[4]+e[9]*e[1]*e[31]+e[9]*e[29]*e[5]+e[9]*e[2]*e[32]+e[27]*e[10]*e[4]+e[27]*e[1]*e[13]+e[27]*e[11]*e[5]+e[27]*e[2]*e[14]+3.*e[3]*e[30]*e[12]+e[3]*e[32]*e[14]+e[3]*e[31]*e[13]+e[6]*e[30]*e[15]+e[6]*e[12]*e[33]+e[6]*e[32]*e[17]+e[6]*e[14]*e[35]+e[6]*e[31]*e[16]+e[6]*e[13]*e[34]+e[0]*e[27]*e[12]+e[0]*e[9]*e[30]+e[0]*e[29]*e[14]+e[0]*e[11]*e[32]+e[0]*e[28]*e[13]+e[0]*e[10]*e[31];
303 A[90]=.5000000000*e[21]*ep2[24]-.5000000000*e[21]*ep2[25]+.5000000000*e[21]*ep2[23]-.5000000000*e[21]*ep2[26]+.5000000000*ep2[18]*e[21]+.5000000000*e[21]*ep2[22]-.5000000000*e[21]*ep2[20]+e[24]*e[22]*e[25]+e[24]*e[23]*e[26]-.5000000000*e[21]*ep2[19]+e[18]*e[19]*e[22]+e[18]*e[20]*e[23]+.5000000000*ep3[21];
304 A[89]=-.5000000000*e[30]*ep2[26]-.5000000000*e[30]*ep2[19]-.5000000000*e[30]*ep2[20]-.5000000000*e[30]*ep2[25]+.5000000000*ep2[18]*e[30]+1.500000000*e[30]*ep2[21]+.5000000000*e[30]*ep2[22]+.5000000000*e[30]*ep2[23]+.5000000000*e[30]*ep2[24]+e[18]*e[27]*e[21]+e[18]*e[28]*e[22]+e[18]*e[19]*e[31]+e[18]*e[29]*e[23]+e[18]*e[20]*e[32]+e[27]*e[19]*e[22]+e[27]*e[20]*e[23]+e[21]*e[31]*e[22]+e[21]*e[32]*e[23]+e[24]*e[21]*e[33]+e[24]*e[31]*e[25]+e[24]*e[22]*e[34]+e[24]*e[32]*e[26]+e[24]*e[23]*e[35]+e[33]*e[22]*e[25]+e[33]*e[23]*e[26]-1.*e[21]*e[29]*e[20]-1.*e[21]*e[35]*e[26]-1.*e[21]*e[28]*e[19]-1.*e[21]*e[34]*e[25];
305 A[88]=.5000000000*e[12]*ep2[15]-.5000000000*e[12]*ep2[17]+e[15]*e[13]*e[16]-.5000000000*e[12]*ep2[10]+e[15]*e[14]*e[17]-.5000000000*e[12]*ep2[16]-.5000000000*e[12]*ep2[11]+e[9]*e[10]*e[13]+.5000000000*e[12]*ep2[13]+.5000000000*ep2[9]*e[12]+.5000000000*ep3[12]+e[9]*e[11]*e[14]+.5000000000*e[12]*ep2[14];
306 A[95]=e[12]*e[13]*e[4]+e[12]*e[14]*e[5]+e[15]*e[12]*e[6]+e[15]*e[13]*e[7]+e[15]*e[4]*e[16]+e[15]*e[14]*e[8]+e[15]*e[5]*e[17]+e[6]*e[14]*e[17]+e[6]*e[13]*e[16]+e[0]*e[11]*e[14]+e[0]*e[9]*e[12]+e[0]*e[10]*e[13]+e[9]*e[10]*e[4]+e[9]*e[1]*e[13]+e[9]*e[11]*e[5]+e[9]*e[2]*e[14]-1.*e[12]*e[11]*e[2]-1.*e[12]*e[10]*e[1]-1.*e[12]*e[16]*e[7]-1.*e[12]*e[17]*e[8]+1.500000000*ep2[12]*e[3]+.5000000000*e[3]*ep2[15]-.5000000000*e[3]*ep2[16]+.5000000000*e[3]*ep2[9]-.5000000000*e[3]*ep2[11]-.5000000000*e[3]*ep2[17]-.5000000000*e[3]*ep2[10]+.5000000000*e[3]*ep2[14]+.5000000000*e[3]*ep2[13];
307 A[94]=e[18]*e[11]*e[14]+e[18]*e[9]*e[12]+e[18]*e[10]*e[13]+e[12]*e[23]*e[14]+e[12]*e[22]*e[13]+e[15]*e[12]*e[24]+e[15]*e[23]*e[17]+e[15]*e[14]*e[26]+e[15]*e[22]*e[16]+e[15]*e[13]*e[25]+e[24]*e[14]*e[17]+e[24]*e[13]*e[16]-1.*e[12]*e[25]*e[16]-1.*e[12]*e[26]*e[17]-1.*e[12]*e[20]*e[11]-1.*e[12]*e[19]*e[10]+e[9]*e[20]*e[14]+e[9]*e[11]*e[23]+e[9]*e[19]*e[13]+e[9]*e[10]*e[22]+.5000000000*ep2[9]*e[21]-.5000000000*e[21]*ep2[16]-.5000000000*e[21]*ep2[11]-.5000000000*e[21]*ep2[17]-.5000000000*e[21]*ep2[10]+1.500000000*e[21]*ep2[12]+.5000000000*e[21]*ep2[14]+.5000000000*e[21]*ep2[13]+.5000000000*e[21]*ep2[15];
308 A[93]=-1.*e[21]*e[35]*e[8]-1.*e[21]*e[29]*e[2]-1.*e[21]*e[28]*e[1]+e[21]*e[31]*e[4]-1.*e[30]*e[26]*e[8]-1.*e[30]*e[20]*e[2]-1.*e[30]*e[19]*e[1]+e[30]*e[22]*e[4]-1.*e[30]*e[25]*e[7]+e[30]*e[23]*e[5]+e[6]*e[31]*e[25]+e[6]*e[22]*e[34]+e[6]*e[32]*e[26]+e[6]*e[23]*e[35]+e[24]*e[30]*e[6]+e[24]*e[3]*e[33]+e[24]*e[31]*e[7]+e[24]*e[4]*e[34]+e[24]*e[32]*e[8]+e[24]*e[5]*e[35]+e[33]*e[21]*e[6]+e[33]*e[22]*e[7]+e[33]*e[4]*e[25]+e[33]*e[23]*e[8]+e[33]*e[5]*e[26]+e[0]*e[27]*e[21]+e[0]*e[18]*e[30]+e[0]*e[28]*e[22]+e[0]*e[19]*e[31]+e[0]*e[29]*e[23]+e[0]*e[20]*e[32]+e[18]*e[27]*e[3]+e[18]*e[28]*e[4]+e[18]*e[1]*e[31]+e[18]*e[29]*e[5]+e[18]*e[2]*e[32]+e[27]*e[19]*e[4]+e[27]*e[1]*e[22]+e[27]*e[20]*e[5]+e[27]*e[2]*e[23]+3.*e[3]*e[30]*e[21]+e[3]*e[31]*e[22]+e[3]*e[32]*e[23]-1.*e[3]*e[29]*e[20]-1.*e[3]*e[35]*e[26]-1.*e[3]*e[28]*e[19]-1.*e[3]*e[34]*e[25]-1.*e[21]*e[34]*e[7]+e[21]*e[32]*e[5];
309 A[92]=e[18]*e[1]*e[4]+e[18]*e[0]*e[3]+e[18]*e[2]*e[5]+e[3]*e[22]*e[4]+e[3]*e[23]*e[5]+e[6]*e[3]*e[24]+e[6]*e[22]*e[7]+e[6]*e[4]*e[25]+e[6]*e[23]*e[8]+e[6]*e[5]*e[26]+e[24]*e[4]*e[7]+e[24]*e[5]*e[8]+e[0]*e[19]*e[4]+e[0]*e[1]*e[22]+e[0]*e[20]*e[5]+e[0]*e[2]*e[23]-1.*e[3]*e[26]*e[8]-1.*e[3]*e[20]*e[2]-1.*e[3]*e[19]*e[1]-1.*e[3]*e[25]*e[7]+.5000000000*e[21]*ep2[4]+.5000000000*e[21]*ep2[0]+.5000000000*e[21]*ep2[6]+.5000000000*e[21]*ep2[5]-.5000000000*e[21]*ep2[1]-.5000000000*e[21]*ep2[7]+1.500000000*e[21]*ep2[3]-.5000000000*e[21]*ep2[2]-.5000000000*e[21]*ep2[8];
310 A[82]=.5000000000*ep2[27]*e[21]+1.500000000*e[21]*ep2[30]+.5000000000*e[21]*ep2[32]+.5000000000*e[21]*ep2[31]+.5000000000*e[21]*ep2[33]-.5000000000*e[21]*ep2[28]-.5000000000*e[21]*ep2[29]-.5000000000*e[21]*ep2[34]-.5000000000*e[21]*ep2[35]+e[18]*e[27]*e[30]+e[18]*e[29]*e[32]+e[18]*e[28]*e[31]+e[27]*e[28]*e[22]+e[27]*e[19]*e[31]+e[27]*e[29]*e[23]+e[27]*e[20]*e[32]+e[30]*e[31]*e[22]+e[30]*e[32]*e[23]+e[24]*e[30]*e[33]+e[24]*e[32]*e[35]+e[24]*e[31]*e[34]+e[33]*e[31]*e[25]+e[33]*e[22]*e[34]+e[33]*e[32]*e[26]+e[33]*e[23]*e[35]-1.*e[30]*e[29]*e[20]-1.*e[30]*e[35]*e[26]-1.*e[30]*e[28]*e[19]-1.*e[30]*e[34]*e[25];
311 A[192]=-.5000000000*e[26]*ep2[4]-.5000000000*e[26]*ep2[0]+.5000000000*e[26]*ep2[6]+.5000000000*e[26]*ep2[5]-.5000000000*e[26]*ep2[1]+.5000000000*e[26]*ep2[7]-.5000000000*e[26]*ep2[3]+.5000000000*e[26]*ep2[2]+1.500000000*e[26]*ep2[8]+e[20]*e[0]*e[6]+e[20]*e[2]*e[8]+e[5]*e[21]*e[6]+e[5]*e[3]*e[24]+e[5]*e[22]*e[7]+e[5]*e[4]*e[25]+e[5]*e[23]*e[8]+e[23]*e[4]*e[7]+e[23]*e[3]*e[6]+e[8]*e[24]*e[6]+e[8]*e[25]*e[7]+e[2]*e[18]*e[6]+e[2]*e[0]*e[24]+e[2]*e[19]*e[7]+e[2]*e[1]*e[25]-1.*e[8]*e[21]*e[3]-1.*e[8]*e[19]*e[1]-1.*e[8]*e[22]*e[4]-1.*e[8]*e[18]*e[0]+e[20]*e[1]*e[7];
312 A[83]=e[9]*e[27]*e[30]+e[9]*e[29]*e[32]+e[9]*e[28]*e[31]+e[33]*e[30]*e[15]+e[33]*e[32]*e[17]+e[33]*e[14]*e[35]+e[33]*e[31]*e[16]+e[33]*e[13]*e[34]+e[27]*e[29]*e[14]+e[27]*e[11]*e[32]+e[27]*e[28]*e[13]+e[27]*e[10]*e[31]-1.*e[30]*e[28]*e[10]+e[30]*e[31]*e[13]+e[30]*e[32]*e[14]-1.*e[30]*e[34]*e[16]-1.*e[30]*e[35]*e[17]-1.*e[30]*e[29]*e[11]+e[15]*e[32]*e[35]+e[15]*e[31]*e[34]-.5000000000*e[12]*ep2[34]-.5000000000*e[12]*ep2[35]+.5000000000*e[12]*ep2[27]+.5000000000*e[12]*ep2[32]-.5000000000*e[12]*ep2[28]-.5000000000*e[12]*ep2[29]+.5000000000*e[12]*ep2[31]+.5000000000*e[12]*ep2[33]+1.500000000*e[12]*ep2[30];
313 A[193]=e[23]*e[30]*e[6]+e[23]*e[3]*e[33]+e[23]*e[31]*e[7]+e[23]*e[4]*e[34]+e[32]*e[21]*e[6]+e[32]*e[3]*e[24]+e[32]*e[22]*e[7]+e[32]*e[4]*e[25]+e[26]*e[33]*e[6]+e[26]*e[34]*e[7]+3.*e[26]*e[35]*e[8]+e[35]*e[24]*e[6]+e[35]*e[25]*e[7]+e[2]*e[27]*e[24]+e[2]*e[18]*e[33]+e[2]*e[28]*e[25]+e[2]*e[19]*e[34]+e[2]*e[29]*e[26]+e[2]*e[20]*e[35]+e[20]*e[27]*e[6]+e[20]*e[0]*e[33]+e[20]*e[28]*e[7]+e[20]*e[1]*e[34]+e[20]*e[29]*e[8]+e[29]*e[18]*e[6]+e[29]*e[0]*e[24]+e[29]*e[19]*e[7]+e[29]*e[1]*e[25]+e[5]*e[30]*e[24]+e[5]*e[21]*e[33]+e[5]*e[31]*e[25]+e[5]*e[22]*e[34]+e[5]*e[32]*e[26]+e[5]*e[23]*e[35]-1.*e[8]*e[27]*e[18]+e[8]*e[33]*e[24]-1.*e[8]*e[30]*e[21]-1.*e[8]*e[31]*e[22]+e[8]*e[32]*e[23]-1.*e[8]*e[28]*e[19]+e[8]*e[34]*e[25]-1.*e[26]*e[27]*e[0]-1.*e[26]*e[30]*e[3]-1.*e[26]*e[28]*e[1]-1.*e[26]*e[31]*e[4]-1.*e[35]*e[21]*e[3]-1.*e[35]*e[19]*e[1]-1.*e[35]*e[22]*e[4]-1.*e[35]*e[18]*e[0];
314 A[80]=e[27]*e[29]*e[32]+e[27]*e[28]*e[31]+e[33]*e[32]*e[35]+e[33]*e[31]*e[34]+.5000000000*ep3[30]-.5000000000*e[30]*ep2[28]-.5000000000*e[30]*ep2[29]-.5000000000*e[30]*ep2[34]+.5000000000*e[30]*ep2[33]+.5000000000*ep2[27]*e[30]+.5000000000*e[30]*ep2[32]+.5000000000*e[30]*ep2[31]-.5000000000*e[30]*ep2[35];
315 A[194]=.5000000000*ep2[14]*e[26]+1.500000000*e[26]*ep2[17]+.5000000000*e[26]*ep2[15]+.5000000000*e[26]*ep2[16]+.5000000000*ep2[11]*e[26]-.5000000000*e[26]*ep2[9]-.5000000000*e[26]*ep2[12]-.5000000000*e[26]*ep2[10]-.5000000000*e[26]*ep2[13]+e[20]*e[11]*e[17]+e[20]*e[9]*e[15]+e[20]*e[10]*e[16]+e[14]*e[21]*e[15]+e[14]*e[12]*e[24]+e[14]*e[23]*e[17]+e[14]*e[22]*e[16]+e[14]*e[13]*e[25]+e[23]*e[12]*e[15]+e[23]*e[13]*e[16]+e[17]*e[24]*e[15]+e[17]*e[25]*e[16]-1.*e[17]*e[18]*e[9]-1.*e[17]*e[21]*e[12]-1.*e[17]*e[19]*e[10]-1.*e[17]*e[22]*e[13]+e[11]*e[18]*e[15]+e[11]*e[9]*e[24]+e[11]*e[19]*e[16]+e[11]*e[10]*e[25];
316 A[81]=e[0]*e[27]*e[30]+e[0]*e[29]*e[32]+e[0]*e[28]*e[31]+e[30]*e[31]*e[4]+e[30]*e[32]*e[5]+e[6]*e[30]*e[33]+e[6]*e[32]*e[35]+e[6]*e[31]*e[34]+e[27]*e[28]*e[4]+e[27]*e[1]*e[31]+e[27]*e[29]*e[5]+e[27]*e[2]*e[32]+e[33]*e[31]*e[7]+e[33]*e[4]*e[34]+e[33]*e[32]*e[8]+e[33]*e[5]*e[35]-1.*e[30]*e[34]*e[7]-1.*e[30]*e[35]*e[8]-1.*e[30]*e[29]*e[2]-1.*e[30]*e[28]*e[1]+1.500000000*e[3]*ep2[30]+.5000000000*e[3]*ep2[32]+.5000000000*e[3]*ep2[31]+.5000000000*e[3]*ep2[27]-.5000000000*e[3]*ep2[28]-.5000000000*e[3]*ep2[29]+.5000000000*e[3]*ep2[33]-.5000000000*e[3]*ep2[34]-.5000000000*e[3]*ep2[35];
317 A[195]=.5000000000*ep2[14]*e[8]+1.500000000*ep2[17]*e[8]+.5000000000*e[8]*ep2[15]+.5000000000*e[8]*ep2[16]-.5000000000*e[8]*ep2[9]+.5000000000*e[8]*ep2[11]-.5000000000*e[8]*ep2[12]-.5000000000*e[8]*ep2[10]-.5000000000*e[8]*ep2[13]+e[14]*e[12]*e[6]+e[14]*e[3]*e[15]+e[14]*e[13]*e[7]+e[14]*e[4]*e[16]+e[14]*e[5]*e[17]+e[17]*e[15]*e[6]+e[17]*e[16]*e[7]+e[2]*e[11]*e[17]+e[2]*e[9]*e[15]+e[2]*e[10]*e[16]+e[5]*e[12]*e[15]+e[5]*e[13]*e[16]+e[11]*e[9]*e[6]+e[11]*e[0]*e[15]+e[11]*e[10]*e[7]+e[11]*e[1]*e[16]-1.*e[17]*e[10]*e[1]-1.*e[17]*e[13]*e[4]-1.*e[17]*e[9]*e[0]-1.*e[17]*e[12]*e[3];
318 A[86]=-.5000000000*e[3]*ep2[1]-.5000000000*e[3]*ep2[7]+.5000000000*ep3[3]-.5000000000*e[3]*ep2[8]+e[0]*e[2]*e[5]+.5000000000*e[3]*ep2[6]+.5000000000*e[3]*ep2[4]-.5000000000*e[3]*ep2[2]+e[0]*e[1]*e[4]+e[6]*e[4]*e[7]+.5000000000*ep2[0]*e[3]+.5000000000*e[3]*ep2[5]+e[6]*e[5]*e[8];
319 A[196]=.5000000000*ep2[23]*e[17]+1.500000000*ep2[26]*e[17]+.5000000000*e[17]*ep2[25]+.5000000000*e[17]*ep2[24]-.5000000000*e[17]*ep2[18]-.5000000000*e[17]*ep2[19]+.5000000000*e[17]*ep2[20]-.5000000000*e[17]*ep2[22]-.5000000000*e[17]*ep2[21]+e[23]*e[21]*e[15]+e[23]*e[12]*e[24]+e[23]*e[14]*e[26]+e[23]*e[22]*e[16]+e[23]*e[13]*e[25]+e[26]*e[24]*e[15]+e[26]*e[25]*e[16]+e[11]*e[19]*e[25]+e[11]*e[18]*e[24]+e[11]*e[20]*e[26]+e[14]*e[22]*e[25]+e[14]*e[21]*e[24]+e[20]*e[18]*e[15]+e[20]*e[9]*e[24]+e[20]*e[19]*e[16]+e[20]*e[10]*e[25]-1.*e[26]*e[18]*e[9]-1.*e[26]*e[21]*e[12]-1.*e[26]*e[19]*e[10]-1.*e[26]*e[22]*e[13];
320 A[87]=-1.*e[12]*e[34]*e[16]-1.*e[12]*e[35]*e[17]-1.*e[12]*e[29]*e[11]+e[9]*e[27]*e[12]+e[9]*e[29]*e[14]+e[9]*e[11]*e[32]+e[9]*e[28]*e[13]+e[9]*e[10]*e[31]+e[27]*e[11]*e[14]+e[27]*e[10]*e[13]+e[12]*e[32]*e[14]+e[12]*e[31]*e[13]+e[15]*e[12]*e[33]+e[15]*e[32]*e[17]+e[15]*e[14]*e[35]+e[15]*e[31]*e[16]+e[15]*e[13]*e[34]+e[33]*e[14]*e[17]+e[33]*e[13]*e[16]-1.*e[12]*e[28]*e[10]+.5000000000*ep2[9]*e[30]-.5000000000*e[30]*ep2[16]-.5000000000*e[30]*ep2[11]+1.500000000*e[30]*ep2[12]+.5000000000*e[30]*ep2[15]-.5000000000*e[30]*ep2[17]-.5000000000*e[30]*ep2[10]+.5000000000*e[30]*ep2[14]+.5000000000*e[30]*ep2[13];
321 A[197]=e[32]*e[22]*e[16]+e[32]*e[13]*e[25]-1.*e[17]*e[27]*e[18]+e[17]*e[33]*e[24]-1.*e[17]*e[30]*e[21]+e[17]*e[29]*e[20]+3.*e[17]*e[35]*e[26]-1.*e[17]*e[31]*e[22]-1.*e[17]*e[28]*e[19]+e[17]*e[34]*e[25]+e[20]*e[27]*e[15]+e[20]*e[9]*e[33]+e[20]*e[28]*e[16]+e[20]*e[10]*e[34]+e[29]*e[18]*e[15]+e[29]*e[9]*e[24]+e[29]*e[19]*e[16]+e[29]*e[10]*e[25]-1.*e[26]*e[27]*e[9]-1.*e[26]*e[30]*e[12]-1.*e[26]*e[28]*e[10]-1.*e[26]*e[31]*e[13]+e[26]*e[33]*e[15]+e[26]*e[34]*e[16]+e[35]*e[24]*e[15]+e[35]*e[25]*e[16]-1.*e[35]*e[18]*e[9]-1.*e[35]*e[21]*e[12]-1.*e[35]*e[19]*e[10]-1.*e[35]*e[22]*e[13]+e[14]*e[30]*e[24]+e[14]*e[21]*e[33]+e[14]*e[31]*e[25]+e[14]*e[22]*e[34]+e[14]*e[32]*e[26]+e[14]*e[23]*e[35]+e[11]*e[27]*e[24]+e[11]*e[18]*e[33]+e[11]*e[28]*e[25]+e[11]*e[19]*e[34]+e[11]*e[29]*e[26]+e[11]*e[20]*e[35]+e[23]*e[30]*e[15]+e[23]*e[12]*e[33]+e[23]*e[32]*e[17]+e[23]*e[31]*e[16]+e[23]*e[13]*e[34]+e[32]*e[21]*e[15]+e[32]*e[12]*e[24];
322 A[84]=e[6]*e[23]*e[17]+e[6]*e[14]*e[26]+e[6]*e[22]*e[16]+e[6]*e[13]*e[25]+e[0]*e[20]*e[14]+e[0]*e[11]*e[23]+e[0]*e[19]*e[13]+e[0]*e[10]*e[22]-1.*e[12]*e[26]*e[8]-1.*e[12]*e[20]*e[2]-1.*e[12]*e[19]*e[1]+e[12]*e[22]*e[4]-1.*e[12]*e[25]*e[7]+e[12]*e[23]*e[5]-1.*e[21]*e[11]*e[2]-1.*e[21]*e[10]*e[1]+e[21]*e[13]*e[4]-1.*e[21]*e[16]*e[7]+e[21]*e[14]*e[5]-1.*e[21]*e[17]*e[8]+e[15]*e[3]*e[24]+e[15]*e[22]*e[7]+e[15]*e[4]*e[25]+e[15]*e[23]*e[8]+e[15]*e[5]*e[26]-1.*e[3]*e[25]*e[16]-1.*e[3]*e[26]*e[17]-1.*e[3]*e[20]*e[11]-1.*e[3]*e[19]*e[10]+e[24]*e[13]*e[7]+e[24]*e[4]*e[16]+e[24]*e[14]*e[8]+e[24]*e[5]*e[17]+e[9]*e[18]*e[3]+e[9]*e[0]*e[21]+e[9]*e[19]*e[4]+e[9]*e[1]*e[22]+e[9]*e[20]*e[5]+e[9]*e[2]*e[23]+e[18]*e[0]*e[12]+e[18]*e[10]*e[4]+e[18]*e[1]*e[13]+e[18]*e[11]*e[5]+e[18]*e[2]*e[14]+3.*e[3]*e[21]*e[12]+e[3]*e[23]*e[14]+e[3]*e[22]*e[13]+e[6]*e[21]*e[15]+e[6]*e[12]*e[24];
323 A[198]=.5000000000*ep2[5]*e[17]+1.500000000*e[17]*ep2[8]+.5000000000*e[17]*ep2[7]+.5000000000*e[17]*ep2[6]+.5000000000*ep2[2]*e[17]-.5000000000*e[17]*ep2[4]-.5000000000*e[17]*ep2[0]-.5000000000*e[17]*ep2[1]-.5000000000*e[17]*ep2[3]+e[11]*e[1]*e[7]+e[11]*e[0]*e[6]+e[11]*e[2]*e[8]+e[5]*e[12]*e[6]+e[5]*e[3]*e[15]+e[5]*e[13]*e[7]+e[5]*e[4]*e[16]+e[5]*e[14]*e[8]+e[14]*e[4]*e[7]+e[14]*e[3]*e[6]+e[8]*e[15]*e[6]+e[8]*e[16]*e[7]-1.*e[8]*e[10]*e[1]-1.*e[8]*e[13]*e[4]-1.*e[8]*e[9]*e[0]-1.*e[8]*e[12]*e[3]+e[2]*e[9]*e[6]+e[2]*e[0]*e[15]+e[2]*e[10]*e[7]+e[2]*e[1]*e[16];
324 A[85]=e[6]*e[4]*e[34]+e[6]*e[32]*e[8]+e[6]*e[5]*e[35]+e[33]*e[4]*e[7]+e[33]*e[5]*e[8]+e[0]*e[27]*e[3]+e[0]*e[28]*e[4]+e[0]*e[1]*e[31]+e[0]*e[29]*e[5]+e[0]*e[2]*e[32]-1.*e[3]*e[34]*e[7]+e[3]*e[32]*e[5]+e[3]*e[33]*e[6]-1.*e[3]*e[35]*e[8]-1.*e[3]*e[29]*e[2]-1.*e[3]*e[28]*e[1]+e[3]*e[31]*e[4]+e[27]*e[1]*e[4]+e[27]*e[2]*e[5]+e[6]*e[31]*e[7]+.5000000000*e[30]*ep2[4]+.5000000000*e[30]*ep2[6]+.5000000000*e[30]*ep2[5]-.5000000000*e[30]*ep2[1]-.5000000000*e[30]*ep2[7]-.5000000000*e[30]*ep2[2]-.5000000000*e[30]*ep2[8]+.5000000000*ep2[0]*e[30]+1.500000000*e[30]*ep2[3];
325 A[199]=.5000000000*ep2[23]*e[8]+1.500000000*ep2[26]*e[8]-.5000000000*e[8]*ep2[18]-.5000000000*e[8]*ep2[19]-.5000000000*e[8]*ep2[22]+.5000000000*e[8]*ep2[24]-.5000000000*e[8]*ep2[21]+.5000000000*e[8]*ep2[25]+.5000000000*ep2[20]*e[8]+e[20]*e[18]*e[6]+e[20]*e[0]*e[24]+e[20]*e[19]*e[7]+e[20]*e[1]*e[25]+e[20]*e[2]*e[26]+e[23]*e[21]*e[6]+e[23]*e[3]*e[24]+e[23]*e[22]*e[7]+e[23]*e[4]*e[25]+e[23]*e[5]*e[26]-1.*e[26]*e[21]*e[3]-1.*e[26]*e[19]*e[1]-1.*e[26]*e[22]*e[4]-1.*e[26]*e[18]*e[0]+e[26]*e[25]*e[7]+e[26]*e[24]*e[6]+e[2]*e[19]*e[25]+e[2]*e[18]*e[24]+e[5]*e[22]*e[25]+e[5]*e[21]*e[24];
326 A[109]=e[19]*e[27]*e[21]+e[19]*e[18]*e[30]+e[19]*e[28]*e[22]+e[19]*e[29]*e[23]+e[19]*e[20]*e[32]+e[28]*e[18]*e[21]+e[28]*e[20]*e[23]+e[22]*e[30]*e[21]+e[22]*e[32]*e[23]+e[25]*e[30]*e[24]+e[25]*e[21]*e[33]+e[25]*e[22]*e[34]+e[25]*e[32]*e[26]+e[25]*e[23]*e[35]+e[34]*e[21]*e[24]+e[34]*e[23]*e[26]-1.*e[22]*e[27]*e[18]-1.*e[22]*e[33]*e[24]-1.*e[22]*e[29]*e[20]-1.*e[22]*e[35]*e[26]+.5000000000*ep2[19]*e[31]+1.500000000*e[31]*ep2[22]+.5000000000*e[31]*ep2[21]+.5000000000*e[31]*ep2[23]+.5000000000*e[31]*ep2[25]-.5000000000*e[31]*ep2[26]-.5000000000*e[31]*ep2[18]-.5000000000*e[31]*ep2[20]-.5000000000*e[31]*ep2[24];
327 A[108]=-.5000000000*e[13]*ep2[15]+.5000000000*e[13]*ep2[16]+.5000000000*e[13]*ep2[12]+e[16]*e[12]*e[15]+.5000000000*ep3[13]+e[10]*e[11]*e[14]+.5000000000*e[13]*ep2[14]-.5000000000*e[13]*ep2[17]-.5000000000*e[13]*ep2[11]-.5000000000*e[13]*ep2[9]+.5000000000*ep2[10]*e[13]+e[10]*e[9]*e[12]+e[16]*e[14]*e[17];
328 A[111]=-1.*e[13]*e[29]*e[2]-1.*e[31]*e[11]*e[2]-1.*e[31]*e[15]*e[6]-1.*e[31]*e[9]*e[0]+e[31]*e[14]*e[5]+e[31]*e[12]*e[3]-1.*e[31]*e[17]*e[8]+e[16]*e[30]*e[6]+e[16]*e[3]*e[33]+e[16]*e[4]*e[34]+e[16]*e[32]*e[8]+e[16]*e[5]*e[35]-1.*e[4]*e[27]*e[9]+e[4]*e[28]*e[10]-1.*e[4]*e[33]*e[15]-1.*e[4]*e[35]*e[17]-1.*e[4]*e[29]*e[11]+e[34]*e[12]*e[6]+e[34]*e[3]*e[15]+e[34]*e[14]*e[8]+e[34]*e[5]*e[17]+e[10]*e[27]*e[3]+e[10]*e[0]*e[30]+e[10]*e[29]*e[5]+e[10]*e[2]*e[32]+e[28]*e[9]*e[3]+e[28]*e[0]*e[12]+e[28]*e[11]*e[5]+e[28]*e[2]*e[14]+e[4]*e[30]*e[12]+e[4]*e[32]*e[14]+3.*e[4]*e[31]*e[13]+e[7]*e[30]*e[15]+e[7]*e[12]*e[33]+e[7]*e[32]*e[17]+e[7]*e[14]*e[35]+e[7]*e[31]*e[16]+e[7]*e[13]*e[34]+e[1]*e[27]*e[12]+e[1]*e[9]*e[30]+e[1]*e[29]*e[14]+e[1]*e[11]*e[32]+e[1]*e[28]*e[13]+e[1]*e[10]*e[31]-1.*e[13]*e[27]*e[0]+e[13]*e[32]*e[5]-1.*e[13]*e[33]*e[6]+e[13]*e[30]*e[3]-1.*e[13]*e[35]*e[8];
329 A[110]=e[25]*e[23]*e[26]+e[19]*e[20]*e[23]+e[19]*e[18]*e[21]+e[25]*e[21]*e[24]+.5000000000*ep3[22]+.5000000000*e[22]*ep2[23]+.5000000000*ep2[19]*e[22]-.5000000000*e[22]*ep2[18]-.5000000000*e[22]*ep2[24]+.5000000000*e[22]*ep2[21]+.5000000000*e[22]*ep2[25]-.5000000000*e[22]*ep2[20]-.5000000000*e[22]*ep2[26];
330 A[105]=e[34]*e[5]*e[8]+e[1]*e[27]*e[3]+e[1]*e[0]*e[30]+e[1]*e[28]*e[4]+e[1]*e[29]*e[5]+e[1]*e[2]*e[32]-1.*e[4]*e[27]*e[0]+e[4]*e[34]*e[7]+e[4]*e[32]*e[5]-1.*e[4]*e[33]*e[6]+e[4]*e[30]*e[3]-1.*e[4]*e[35]*e[8]-1.*e[4]*e[29]*e[2]+e[28]*e[0]*e[3]+e[28]*e[2]*e[5]+e[7]*e[30]*e[6]+e[7]*e[3]*e[33]+e[7]*e[32]*e[8]+e[7]*e[5]*e[35]+e[34]*e[3]*e[6]+.5000000000*ep2[1]*e[31]+1.500000000*e[31]*ep2[4]-.5000000000*e[31]*ep2[0]-.5000000000*e[31]*ep2[6]+.5000000000*e[31]*ep2[5]+.5000000000*e[31]*ep2[7]+.5000000000*e[31]*ep2[3]-.5000000000*e[31]*ep2[2]-.5000000000*e[31]*ep2[8];
331 A[104]=e[1]*e[20]*e[14]+e[1]*e[11]*e[23]+e[13]*e[21]*e[3]-1.*e[13]*e[26]*e[8]-1.*e[13]*e[20]*e[2]-1.*e[13]*e[18]*e[0]+e[13]*e[23]*e[5]-1.*e[13]*e[24]*e[6]-1.*e[22]*e[11]*e[2]-1.*e[22]*e[15]*e[6]-1.*e[22]*e[9]*e[0]+e[22]*e[14]*e[5]+e[22]*e[12]*e[3]-1.*e[22]*e[17]*e[8]+e[16]*e[21]*e[6]+e[16]*e[3]*e[24]+e[16]*e[4]*e[25]+e[16]*e[23]*e[8]+e[16]*e[5]*e[26]-1.*e[4]*e[24]*e[15]-1.*e[4]*e[26]*e[17]-1.*e[4]*e[20]*e[11]-1.*e[4]*e[18]*e[9]+e[25]*e[12]*e[6]+e[25]*e[3]*e[15]+e[25]*e[14]*e[8]+e[25]*e[5]*e[17]+e[10]*e[18]*e[3]+e[10]*e[0]*e[21]+e[10]*e[19]*e[4]+e[10]*e[1]*e[22]+e[10]*e[20]*e[5]+e[10]*e[2]*e[23]+e[19]*e[9]*e[3]+e[19]*e[0]*e[12]+e[19]*e[1]*e[13]+e[19]*e[11]*e[5]+e[19]*e[2]*e[14]+e[4]*e[21]*e[12]+e[4]*e[23]*e[14]+3.*e[4]*e[22]*e[13]+e[7]*e[21]*e[15]+e[7]*e[12]*e[24]+e[7]*e[23]*e[17]+e[7]*e[14]*e[26]+e[7]*e[22]*e[16]+e[7]*e[13]*e[25]+e[1]*e[18]*e[12]+e[1]*e[9]*e[21];
332 A[107]=e[10]*e[27]*e[12]+e[10]*e[9]*e[30]+e[10]*e[29]*e[14]+e[10]*e[11]*e[32]+e[10]*e[28]*e[13]+e[28]*e[11]*e[14]+e[28]*e[9]*e[12]+e[13]*e[30]*e[12]+e[13]*e[32]*e[14]+e[16]*e[30]*e[15]+e[16]*e[12]*e[33]+e[16]*e[32]*e[17]+e[16]*e[14]*e[35]+e[16]*e[13]*e[34]+e[34]*e[14]*e[17]+e[34]*e[12]*e[15]-1.*e[13]*e[27]*e[9]-1.*e[13]*e[33]*e[15]-1.*e[13]*e[35]*e[17]-1.*e[13]*e[29]*e[11]+.5000000000*ep2[10]*e[31]+.5000000000*e[31]*ep2[16]-.5000000000*e[31]*ep2[9]-.5000000000*e[31]*ep2[11]+.5000000000*e[31]*ep2[12]-.5000000000*e[31]*ep2[15]-.5000000000*e[31]*ep2[17]+.5000000000*e[31]*ep2[14]+1.500000000*e[31]*ep2[13];
333 A[106]=-.5000000000*e[4]*ep2[6]-.5000000000*e[4]*ep2[0]+e[1]*e[2]*e[5]+.5000000000*e[4]*ep2[7]+e[1]*e[0]*e[3]+e[7]*e[5]*e[8]-.5000000000*e[4]*ep2[8]+.5000000000*e[4]*ep2[3]+.5000000000*e[4]*ep2[5]+e[7]*e[3]*e[6]-.5000000000*e[4]*ep2[2]+.5000000000*ep3[4]+.5000000000*ep2[1]*e[4];
334 A[100]=e[34]*e[32]*e[35]-.5000000000*e[31]*ep2[35]+.5000000000*e[31]*ep2[34]+.5000000000*ep2[28]*e[31]+.5000000000*ep3[31]+.5000000000*e[31]*ep2[32]+e[34]*e[30]*e[33]-.5000000000*e[31]*ep2[27]+.5000000000*e[31]*ep2[30]-.5000000000*e[31]*ep2[33]-.5000000000*e[31]*ep2[29]+e[28]*e[29]*e[32]+e[28]*e[27]*e[30];
335 A[101]=e[1]*e[27]*e[30]+e[1]*e[29]*e[32]+e[1]*e[28]*e[31]+e[31]*e[30]*e[3]+e[31]*e[32]*e[5]+e[7]*e[30]*e[33]+e[7]*e[32]*e[35]+e[7]*e[31]*e[34]+e[28]*e[27]*e[3]+e[28]*e[0]*e[30]+e[28]*e[29]*e[5]+e[28]*e[2]*e[32]+e[34]*e[30]*e[6]+e[34]*e[3]*e[33]+e[34]*e[32]*e[8]+e[34]*e[5]*e[35]-1.*e[31]*e[27]*e[0]-1.*e[31]*e[33]*e[6]-1.*e[31]*e[35]*e[8]-1.*e[31]*e[29]*e[2]+.5000000000*e[4]*ep2[30]+.5000000000*e[4]*ep2[32]+1.500000000*e[4]*ep2[31]-.5000000000*e[4]*ep2[27]+.5000000000*e[4]*ep2[28]-.5000000000*e[4]*ep2[29]-.5000000000*e[4]*ep2[33]+.5000000000*e[4]*ep2[34]-.5000000000*e[4]*ep2[35];
336 A[102]=.5000000000*e[22]*ep2[30]+.5000000000*e[22]*ep2[32]+1.500000000*e[22]*ep2[31]+.5000000000*e[22]*ep2[34]-.5000000000*e[22]*ep2[27]-.5000000000*e[22]*ep2[29]-.5000000000*e[22]*ep2[33]-.5000000000*e[22]*ep2[35]+e[28]*e[18]*e[30]+e[28]*e[29]*e[23]+e[28]*e[20]*e[32]+e[31]*e[30]*e[21]+e[31]*e[32]*e[23]+e[25]*e[30]*e[33]+e[25]*e[32]*e[35]+e[25]*e[31]*e[34]+e[34]*e[30]*e[24]+e[34]*e[21]*e[33]+e[34]*e[32]*e[26]+e[34]*e[23]*e[35]-1.*e[31]*e[27]*e[18]-1.*e[31]*e[33]*e[24]-1.*e[31]*e[29]*e[20]-1.*e[31]*e[35]*e[26]+e[19]*e[27]*e[30]+e[19]*e[29]*e[32]+e[19]*e[28]*e[31]+e[28]*e[27]*e[21]+.5000000000*ep2[28]*e[22];
337 A[103]=e[16]*e[30]*e[33]+e[16]*e[32]*e[35]+e[10]*e[27]*e[30]+e[10]*e[29]*e[32]+e[10]*e[28]*e[31]+e[34]*e[30]*e[15]+e[34]*e[12]*e[33]+e[34]*e[32]*e[17]+e[34]*e[14]*e[35]+e[34]*e[31]*e[16]+e[28]*e[27]*e[12]+e[28]*e[9]*e[30]+e[28]*e[29]*e[14]+e[28]*e[11]*e[32]-1.*e[31]*e[27]*e[9]+e[31]*e[30]*e[12]+e[31]*e[32]*e[14]-1.*e[31]*e[33]*e[15]-1.*e[31]*e[35]*e[17]-1.*e[31]*e[29]*e[11]-.5000000000*e[13]*ep2[27]+.5000000000*e[13]*ep2[32]+.5000000000*e[13]*ep2[28]-.5000000000*e[13]*ep2[29]+1.500000000*e[13]*ep2[31]-.5000000000*e[13]*ep2[33]+.5000000000*e[13]*ep2[30]+.5000000000*e[13]*ep2[34]-.5000000000*e[13]*ep2[35];
338 A[96]=e[21]*e[23]*e[14]+e[21]*e[22]*e[13]+e[24]*e[21]*e[15]+e[24]*e[23]*e[17]+e[24]*e[14]*e[26]+e[24]*e[22]*e[16]+e[24]*e[13]*e[25]+e[15]*e[22]*e[25]+e[15]*e[23]*e[26]+e[9]*e[19]*e[22]+e[9]*e[18]*e[21]+e[9]*e[20]*e[23]+e[18]*e[20]*e[14]+e[18]*e[11]*e[23]+e[18]*e[19]*e[13]+e[18]*e[10]*e[22]-1.*e[21]*e[25]*e[16]-1.*e[21]*e[26]*e[17]-1.*e[21]*e[20]*e[11]-1.*e[21]*e[19]*e[10]+1.500000000*ep2[21]*e[12]+.5000000000*e[12]*ep2[24]-.5000000000*e[12]*ep2[26]+.5000000000*e[12]*ep2[18]+.5000000000*e[12]*ep2[23]-.5000000000*e[12]*ep2[19]-.5000000000*e[12]*ep2[20]+.5000000000*e[12]*ep2[22]-.5000000000*e[12]*ep2[25];
339 A[97]=-1.*e[12]*e[29]*e[20]-1.*e[12]*e[35]*e[26]-1.*e[12]*e[28]*e[19]-1.*e[12]*e[34]*e[25]+e[18]*e[29]*e[14]+e[18]*e[11]*e[32]+e[18]*e[28]*e[13]+e[18]*e[10]*e[31]+e[27]*e[20]*e[14]+e[27]*e[11]*e[23]+e[27]*e[19]*e[13]+e[27]*e[10]*e[22]+e[15]*e[30]*e[24]+e[15]*e[21]*e[33]+e[15]*e[31]*e[25]+e[15]*e[22]*e[34]+e[15]*e[32]*e[26]+e[15]*e[23]*e[35]-1.*e[21]*e[28]*e[10]-1.*e[21]*e[34]*e[16]-1.*e[21]*e[35]*e[17]-1.*e[21]*e[29]*e[11]-1.*e[30]*e[25]*e[16]-1.*e[30]*e[26]*e[17]-1.*e[30]*e[20]*e[11]-1.*e[30]*e[19]*e[10]+e[24]*e[32]*e[17]+e[24]*e[14]*e[35]+e[24]*e[31]*e[16]+e[24]*e[13]*e[34]+e[33]*e[23]*e[17]+e[33]*e[14]*e[26]+e[33]*e[22]*e[16]+e[33]*e[13]*e[25]+3.*e[12]*e[30]*e[21]+e[12]*e[31]*e[22]+e[12]*e[32]*e[23]+e[9]*e[27]*e[21]+e[9]*e[18]*e[30]+e[9]*e[28]*e[22]+e[9]*e[19]*e[31]+e[9]*e[29]*e[23]+e[9]*e[20]*e[32]+e[21]*e[32]*e[14]+e[21]*e[31]*e[13]+e[30]*e[23]*e[14]+e[30]*e[22]*e[13]+e[12]*e[27]*e[18]+e[12]*e[33]*e[24];
340 A[98]=e[0]*e[11]*e[5]+e[0]*e[2]*e[14]+e[9]*e[1]*e[4]+e[9]*e[0]*e[3]+e[9]*e[2]*e[5]+e[3]*e[13]*e[4]+e[3]*e[14]*e[5]+e[6]*e[3]*e[15]+e[6]*e[13]*e[7]+e[6]*e[4]*e[16]+e[6]*e[14]*e[8]+e[6]*e[5]*e[17]+e[15]*e[4]*e[7]+e[15]*e[5]*e[8]-1.*e[3]*e[11]*e[2]-1.*e[3]*e[10]*e[1]-1.*e[3]*e[16]*e[7]-1.*e[3]*e[17]*e[8]+e[0]*e[10]*e[4]+e[0]*e[1]*e[13]+1.500000000*e[12]*ep2[3]+.5000000000*e[12]*ep2[4]+.5000000000*e[12]*ep2[5]+.5000000000*e[12]*ep2[6]+.5000000000*ep2[0]*e[12]-.5000000000*e[12]*ep2[1]-.5000000000*e[12]*ep2[7]-.5000000000*e[12]*ep2[2]-.5000000000*e[12]*ep2[8];
341 A[99]=e[21]*e[24]*e[6]+e[0]*e[19]*e[22]+e[0]*e[20]*e[23]+e[24]*e[22]*e[7]+e[24]*e[4]*e[25]+e[24]*e[23]*e[8]+e[24]*e[5]*e[26]+e[6]*e[22]*e[25]+e[6]*e[23]*e[26]+e[18]*e[0]*e[21]+e[18]*e[19]*e[4]+e[18]*e[1]*e[22]+e[18]*e[20]*e[5]+e[18]*e[2]*e[23]+e[21]*e[22]*e[4]+e[21]*e[23]*e[5]-1.*e[21]*e[26]*e[8]-1.*e[21]*e[20]*e[2]-1.*e[21]*e[19]*e[1]-1.*e[21]*e[25]*e[7]+1.500000000*ep2[21]*e[3]+.5000000000*e[3]*ep2[22]+.5000000000*e[3]*ep2[23]+.5000000000*e[3]*ep2[24]-.5000000000*e[3]*ep2[26]-.5000000000*e[3]*ep2[19]-.5000000000*e[3]*ep2[20]-.5000000000*e[3]*ep2[25]+.5000000000*ep2[18]*e[3];
342 A[127]=e[11]*e[27]*e[12]+e[11]*e[9]*e[30]+e[11]*e[29]*e[14]+e[11]*e[28]*e[13]+e[11]*e[10]*e[31]+e[29]*e[9]*e[12]+e[29]*e[10]*e[13]+e[14]*e[30]*e[12]+e[14]*e[31]*e[13]+e[17]*e[30]*e[15]+e[17]*e[12]*e[33]+e[17]*e[14]*e[35]+e[17]*e[31]*e[16]+e[17]*e[13]*e[34]+e[35]*e[12]*e[15]+e[35]*e[13]*e[16]-1.*e[14]*e[27]*e[9]-1.*e[14]*e[28]*e[10]-1.*e[14]*e[33]*e[15]-1.*e[14]*e[34]*e[16]+.5000000000*ep2[11]*e[32]-.5000000000*e[32]*ep2[16]-.5000000000*e[32]*ep2[9]+.5000000000*e[32]*ep2[12]-.5000000000*e[32]*ep2[15]+.5000000000*e[32]*ep2[17]-.5000000000*e[32]*ep2[10]+1.500000000*e[32]*ep2[14]+.5000000000*e[32]*ep2[13];
343 A[126]=e[8]*e[3]*e[6]+.5000000000*ep2[2]*e[5]-.5000000000*e[5]*ep2[0]+.5000000000*e[5]*ep2[4]-.5000000000*e[5]*ep2[6]+.5000000000*e[5]*ep2[8]+e[8]*e[4]*e[7]+.5000000000*ep3[5]+e[2]*e[0]*e[3]+.5000000000*e[5]*ep2[3]-.5000000000*e[5]*ep2[7]+e[2]*e[1]*e[4]-.5000000000*e[5]*ep2[1];
344 A[125]=e[2]*e[27]*e[3]+e[2]*e[0]*e[30]+e[2]*e[28]*e[4]+e[2]*e[1]*e[31]+e[2]*e[29]*e[5]-1.*e[5]*e[27]*e[0]-1.*e[5]*e[34]*e[7]-1.*e[5]*e[33]*e[6]+e[5]*e[30]*e[3]+e[5]*e[35]*e[8]-1.*e[5]*e[28]*e[1]+e[5]*e[31]*e[4]+e[29]*e[1]*e[4]+e[29]*e[0]*e[3]+e[8]*e[30]*e[6]+e[8]*e[3]*e[33]+e[8]*e[31]*e[7]+e[8]*e[4]*e[34]+e[35]*e[4]*e[7]+e[35]*e[3]*e[6]+.5000000000*ep2[2]*e[32]+1.500000000*e[32]*ep2[5]+.5000000000*e[32]*ep2[4]-.5000000000*e[32]*ep2[0]-.5000000000*e[32]*ep2[6]-.5000000000*e[32]*ep2[1]-.5000000000*e[32]*ep2[7]+.5000000000*e[32]*ep2[3]+.5000000000*e[32]*ep2[8];
345 A[124]=-1.*e[14]*e[19]*e[1]+e[14]*e[22]*e[4]-1.*e[14]*e[18]*e[0]-1.*e[14]*e[25]*e[7]-1.*e[14]*e[24]*e[6]-1.*e[23]*e[10]*e[1]+e[23]*e[13]*e[4]-1.*e[23]*e[16]*e[7]-1.*e[23]*e[15]*e[6]-1.*e[23]*e[9]*e[0]+e[23]*e[12]*e[3]+e[17]*e[21]*e[6]+e[17]*e[3]*e[24]+e[17]*e[22]*e[7]+e[17]*e[4]*e[25]+e[17]*e[5]*e[26]-1.*e[5]*e[24]*e[15]-1.*e[5]*e[25]*e[16]-1.*e[5]*e[18]*e[9]-1.*e[5]*e[19]*e[10]+e[26]*e[12]*e[6]+e[26]*e[3]*e[15]+e[26]*e[13]*e[7]+e[26]*e[4]*e[16]+e[11]*e[18]*e[3]+e[11]*e[0]*e[21]+e[11]*e[19]*e[4]+e[11]*e[1]*e[22]+e[11]*e[20]*e[5]+e[11]*e[2]*e[23]+e[20]*e[9]*e[3]+e[20]*e[0]*e[12]+e[20]*e[10]*e[4]+e[20]*e[1]*e[13]+e[20]*e[2]*e[14]+e[5]*e[21]*e[12]+3.*e[5]*e[23]*e[14]+e[5]*e[22]*e[13]+e[8]*e[21]*e[15]+e[8]*e[12]*e[24]+e[8]*e[23]*e[17]+e[8]*e[14]*e[26]+e[8]*e[22]*e[16]+e[8]*e[13]*e[25]+e[2]*e[18]*e[12]+e[2]*e[9]*e[21]+e[2]*e[19]*e[13]+e[2]*e[10]*e[22]+e[14]*e[21]*e[3];
346 A[123]=-.5000000000*e[14]*ep2[27]+1.500000000*e[14]*ep2[32]-.5000000000*e[14]*ep2[28]+.5000000000*e[14]*ep2[29]+.5000000000*e[14]*ep2[31]-.5000000000*e[14]*ep2[33]+.5000000000*e[14]*ep2[30]-.5000000000*e[14]*ep2[34]+.5000000000*e[14]*ep2[35]+e[11]*e[27]*e[30]+e[11]*e[29]*e[32]+e[11]*e[28]*e[31]+e[35]*e[30]*e[15]+e[35]*e[12]*e[33]+e[35]*e[32]*e[17]+e[35]*e[31]*e[16]+e[35]*e[13]*e[34]+e[29]*e[27]*e[12]+e[29]*e[9]*e[30]+e[29]*e[28]*e[13]+e[29]*e[10]*e[31]-1.*e[32]*e[27]*e[9]+e[32]*e[30]*e[12]-1.*e[32]*e[28]*e[10]+e[32]*e[31]*e[13]-1.*e[32]*e[33]*e[15]-1.*e[32]*e[34]*e[16]+e[17]*e[30]*e[33]+e[17]*e[31]*e[34];
347 A[122]=-.5000000000*e[23]*ep2[33]-.5000000000*e[23]*ep2[34]+.5000000000*ep2[29]*e[23]+.5000000000*e[23]*ep2[30]+1.500000000*e[23]*ep2[32]+.5000000000*e[23]*ep2[31]+.5000000000*e[23]*ep2[35]-.5000000000*e[23]*ep2[27]-.5000000000*e[23]*ep2[28]+e[32]*e[30]*e[21]+e[32]*e[31]*e[22]+e[26]*e[30]*e[33]+e[26]*e[32]*e[35]+e[26]*e[31]*e[34]+e[35]*e[30]*e[24]+e[35]*e[21]*e[33]+e[35]*e[31]*e[25]+e[35]*e[22]*e[34]-1.*e[32]*e[27]*e[18]-1.*e[32]*e[33]*e[24]-1.*e[32]*e[28]*e[19]-1.*e[32]*e[34]*e[25]+e[20]*e[27]*e[30]+e[20]*e[29]*e[32]+e[20]*e[28]*e[31]+e[29]*e[27]*e[21]+e[29]*e[18]*e[30]+e[29]*e[28]*e[22]+e[29]*e[19]*e[31];
348 A[121]=e[2]*e[27]*e[30]+e[2]*e[29]*e[32]+e[2]*e[28]*e[31]+e[32]*e[30]*e[3]+e[32]*e[31]*e[4]+e[8]*e[30]*e[33]+e[8]*e[32]*e[35]+e[8]*e[31]*e[34]+e[29]*e[27]*e[3]+e[29]*e[0]*e[30]+e[29]*e[28]*e[4]+e[29]*e[1]*e[31]+e[35]*e[30]*e[6]+e[35]*e[3]*e[33]+e[35]*e[31]*e[7]+e[35]*e[4]*e[34]-1.*e[32]*e[27]*e[0]-1.*e[32]*e[34]*e[7]-1.*e[32]*e[33]*e[6]-1.*e[32]*e[28]*e[1]+.5000000000*e[5]*ep2[30]+1.500000000*e[5]*ep2[32]+.5000000000*e[5]*ep2[31]-.5000000000*e[5]*ep2[27]-.5000000000*e[5]*ep2[28]+.5000000000*e[5]*ep2[29]-.5000000000*e[5]*ep2[33]-.5000000000*e[5]*ep2[34]+.5000000000*e[5]*ep2[35];
349 A[120]=.5000000000*e[32]*ep2[31]+.5000000000*e[32]*ep2[35]-.5000000000*e[32]*ep2[27]+e[29]*e[27]*e[30]+e[29]*e[28]*e[31]+e[35]*e[30]*e[33]+e[35]*e[31]*e[34]+.5000000000*ep2[29]*e[32]+.5000000000*ep3[32]-.5000000000*e[32]*ep2[33]-.5000000000*e[32]*ep2[34]+.5000000000*e[32]*ep2[30]-.5000000000*e[32]*ep2[28];
350 A[118]=e[10]*e[1]*e[4]+e[10]*e[0]*e[3]+e[10]*e[2]*e[5]+e[4]*e[12]*e[3]+e[4]*e[14]*e[5]+e[7]*e[12]*e[6]+e[7]*e[3]*e[15]+e[7]*e[4]*e[16]+e[7]*e[14]*e[8]+e[7]*e[5]*e[17]+e[16]*e[3]*e[6]+e[16]*e[5]*e[8]-1.*e[4]*e[11]*e[2]-1.*e[4]*e[15]*e[6]-1.*e[4]*e[9]*e[0]-1.*e[4]*e[17]*e[8]+e[1]*e[9]*e[3]+e[1]*e[0]*e[12]+e[1]*e[11]*e[5]+e[1]*e[2]*e[14]+1.500000000*e[13]*ep2[4]+.5000000000*e[13]*ep2[3]+.5000000000*e[13]*ep2[5]+.5000000000*e[13]*ep2[7]+.5000000000*ep2[1]*e[13]-.5000000000*e[13]*ep2[0]-.5000000000*e[13]*ep2[6]-.5000000000*e[13]*ep2[2]-.5000000000*e[13]*ep2[8];
351 A[119]=e[25]*e[21]*e[6]+e[25]*e[3]*e[24]+e[25]*e[23]*e[8]+e[25]*e[5]*e[26]+e[7]*e[21]*e[24]+e[7]*e[23]*e[26]+e[19]*e[18]*e[3]+e[19]*e[0]*e[21]+e[19]*e[1]*e[22]+e[19]*e[20]*e[5]+e[19]*e[2]*e[23]+e[22]*e[21]*e[3]+e[22]*e[23]*e[5]-1.*e[22]*e[26]*e[8]-1.*e[22]*e[20]*e[2]-1.*e[22]*e[18]*e[0]+e[22]*e[25]*e[7]-1.*e[22]*e[24]*e[6]+e[1]*e[18]*e[21]+e[1]*e[20]*e[23]+.5000000000*e[4]*ep2[25]-.5000000000*e[4]*ep2[26]-.5000000000*e[4]*ep2[18]-.5000000000*e[4]*ep2[20]-.5000000000*e[4]*ep2[24]+.5000000000*ep2[19]*e[4]+1.500000000*ep2[22]*e[4]+.5000000000*e[4]*ep2[21]+.5000000000*e[4]*ep2[23];
352 A[116]=e[22]*e[21]*e[12]+e[22]*e[23]*e[14]+e[25]*e[21]*e[15]+e[25]*e[12]*e[24]+e[25]*e[23]*e[17]+e[25]*e[14]*e[26]+e[25]*e[22]*e[16]+e[16]*e[21]*e[24]+e[16]*e[23]*e[26]+e[10]*e[19]*e[22]+e[10]*e[18]*e[21]+e[10]*e[20]*e[23]+e[19]*e[18]*e[12]+e[19]*e[9]*e[21]+e[19]*e[20]*e[14]+e[19]*e[11]*e[23]-1.*e[22]*e[24]*e[15]-1.*e[22]*e[26]*e[17]-1.*e[22]*e[20]*e[11]-1.*e[22]*e[18]*e[9]-.5000000000*e[13]*ep2[26]-.5000000000*e[13]*ep2[18]+.5000000000*e[13]*ep2[23]+.5000000000*e[13]*ep2[19]-.5000000000*e[13]*ep2[20]-.5000000000*e[13]*ep2[24]+.5000000000*e[13]*ep2[21]+1.500000000*ep2[22]*e[13]+.5000000000*e[13]*ep2[25];
353 A[117]=e[13]*e[30]*e[21]+3.*e[13]*e[31]*e[22]+e[13]*e[32]*e[23]+e[10]*e[27]*e[21]+e[10]*e[18]*e[30]+e[10]*e[28]*e[22]+e[10]*e[19]*e[31]+e[10]*e[29]*e[23]+e[10]*e[20]*e[32]+e[22]*e[30]*e[12]+e[22]*e[32]*e[14]+e[31]*e[21]*e[12]+e[31]*e[23]*e[14]-1.*e[13]*e[27]*e[18]-1.*e[13]*e[33]*e[24]-1.*e[13]*e[29]*e[20]-1.*e[13]*e[35]*e[26]+e[13]*e[28]*e[19]+e[13]*e[34]*e[25]+e[19]*e[27]*e[12]+e[19]*e[9]*e[30]+e[19]*e[29]*e[14]+e[19]*e[11]*e[32]+e[28]*e[18]*e[12]+e[28]*e[9]*e[21]+e[28]*e[20]*e[14]+e[28]*e[11]*e[23]+e[16]*e[30]*e[24]+e[16]*e[21]*e[33]+e[16]*e[31]*e[25]+e[16]*e[22]*e[34]+e[16]*e[32]*e[26]+e[16]*e[23]*e[35]-1.*e[22]*e[27]*e[9]-1.*e[22]*e[33]*e[15]-1.*e[22]*e[35]*e[17]-1.*e[22]*e[29]*e[11]-1.*e[31]*e[24]*e[15]-1.*e[31]*e[26]*e[17]-1.*e[31]*e[20]*e[11]-1.*e[31]*e[18]*e[9]+e[25]*e[30]*e[15]+e[25]*e[12]*e[33]+e[25]*e[32]*e[17]+e[25]*e[14]*e[35]+e[34]*e[21]*e[15]+e[34]*e[12]*e[24]+e[34]*e[23]*e[17]+e[34]*e[14]*e[26];
354 A[114]=e[19]*e[11]*e[14]+e[19]*e[9]*e[12]+e[19]*e[10]*e[13]+e[13]*e[21]*e[12]+e[13]*e[23]*e[14]+e[16]*e[21]*e[15]+e[16]*e[12]*e[24]+e[16]*e[23]*e[17]+e[16]*e[14]*e[26]+e[16]*e[13]*e[25]+e[25]*e[14]*e[17]+e[25]*e[12]*e[15]-1.*e[13]*e[24]*e[15]-1.*e[13]*e[26]*e[17]-1.*e[13]*e[20]*e[11]-1.*e[13]*e[18]*e[9]+e[10]*e[18]*e[12]+e[10]*e[9]*e[21]+e[10]*e[20]*e[14]+e[10]*e[11]*e[23]+1.500000000*e[22]*ep2[13]+.5000000000*e[22]*ep2[14]+.5000000000*e[22]*ep2[12]+.5000000000*e[22]*ep2[16]+.5000000000*ep2[10]*e[22]-.5000000000*e[22]*ep2[9]-.5000000000*e[22]*ep2[11]-.5000000000*e[22]*ep2[15]-.5000000000*e[22]*ep2[17];
355 A[115]=e[13]*e[12]*e[3]+e[13]*e[14]*e[5]+e[16]*e[12]*e[6]+e[16]*e[3]*e[15]+e[16]*e[13]*e[7]+e[16]*e[14]*e[8]+e[16]*e[5]*e[17]+e[7]*e[14]*e[17]+e[7]*e[12]*e[15]+e[1]*e[11]*e[14]+e[1]*e[9]*e[12]+e[1]*e[10]*e[13]+e[10]*e[9]*e[3]+e[10]*e[0]*e[12]+e[10]*e[11]*e[5]+e[10]*e[2]*e[14]-1.*e[13]*e[11]*e[2]-1.*e[13]*e[15]*e[6]-1.*e[13]*e[9]*e[0]-1.*e[13]*e[17]*e[8]+1.500000000*ep2[13]*e[4]+.5000000000*e[4]*ep2[16]-.5000000000*e[4]*ep2[9]-.5000000000*e[4]*ep2[11]+.5000000000*e[4]*ep2[12]-.5000000000*e[4]*ep2[15]-.5000000000*e[4]*ep2[17]+.5000000000*e[4]*ep2[10]+.5000000000*e[4]*ep2[14];
356 A[112]=e[19]*e[1]*e[4]+e[19]*e[0]*e[3]+e[19]*e[2]*e[5]+e[4]*e[21]*e[3]+e[4]*e[23]*e[5]+e[7]*e[21]*e[6]+e[7]*e[3]*e[24]+e[7]*e[4]*e[25]+e[7]*e[23]*e[8]+e[7]*e[5]*e[26]+e[25]*e[3]*e[6]+e[25]*e[5]*e[8]+e[1]*e[18]*e[3]+e[1]*e[0]*e[21]+e[1]*e[20]*e[5]+e[1]*e[2]*e[23]-1.*e[4]*e[26]*e[8]-1.*e[4]*e[20]*e[2]-1.*e[4]*e[18]*e[0]-1.*e[4]*e[24]*e[6]+1.500000000*e[22]*ep2[4]-.5000000000*e[22]*ep2[0]-.5000000000*e[22]*ep2[6]+.5000000000*e[22]*ep2[5]+.5000000000*e[22]*ep2[1]+.5000000000*e[22]*ep2[7]+.5000000000*e[22]*ep2[3]-.5000000000*e[22]*ep2[2]-.5000000000*e[22]*ep2[8];
357 A[113]=-1.*e[31]*e[20]*e[2]-1.*e[31]*e[18]*e[0]+e[31]*e[23]*e[5]-1.*e[31]*e[24]*e[6]+e[7]*e[30]*e[24]+e[7]*e[21]*e[33]+e[7]*e[32]*e[26]+e[7]*e[23]*e[35]+e[25]*e[30]*e[6]+e[25]*e[3]*e[33]+e[25]*e[31]*e[7]+e[25]*e[4]*e[34]+e[25]*e[32]*e[8]+e[25]*e[5]*e[35]+e[34]*e[21]*e[6]+e[34]*e[3]*e[24]+e[34]*e[22]*e[7]+e[34]*e[23]*e[8]+e[34]*e[5]*e[26]+e[1]*e[27]*e[21]+e[1]*e[18]*e[30]+e[1]*e[28]*e[22]+e[1]*e[19]*e[31]+e[1]*e[29]*e[23]+e[1]*e[20]*e[32]+e[19]*e[27]*e[3]+e[19]*e[0]*e[30]+e[19]*e[28]*e[4]+e[19]*e[29]*e[5]+e[19]*e[2]*e[32]+e[28]*e[18]*e[3]+e[28]*e[0]*e[21]+e[28]*e[20]*e[5]+e[28]*e[2]*e[23]+e[4]*e[30]*e[21]+3.*e[4]*e[31]*e[22]+e[4]*e[32]*e[23]-1.*e[4]*e[27]*e[18]-1.*e[4]*e[33]*e[24]-1.*e[4]*e[29]*e[20]-1.*e[4]*e[35]*e[26]-1.*e[22]*e[27]*e[0]+e[22]*e[32]*e[5]-1.*e[22]*e[33]*e[6]+e[22]*e[30]*e[3]-1.*e[22]*e[35]*e[8]-1.*e[22]*e[29]*e[2]+e[31]*e[21]*e[3]-1.*e[31]*e[26]*e[8];
359 int perm[20] = {6, 8, 18, 15, 12, 5, 14, 7, 4, 11, 19, 13, 1, 16, 17, 3, 10, 9, 2, 0};
361 for (int i = 0; i < 20; i++)
363 for (int j = 0; j < 10; j++) AA[i + j * 20] = A[perm[i] + j * 20];
366 for (int i = 0; i < 200; i++)
373 void computeError( InputArray _m1, InputArray _m2, InputArray _model, OutputArray _err ) const CV_OVERRIDE
375 Mat X1 = _m1.getMat(), X2 = _m2.getMat(), model = _model.getMat();
376 const Point2d* x1ptr = X1.ptr<Point2d>();
377 const Point2d* x2ptr = X2.ptr<Point2d>();
378 int n = X1.checkVector(2);
379 Matx33d E(model.ptr<double>());
381 _err.create(n, 1, CV_32F);
382 Mat err = _err.getMat();
384 for (int i = 0; i < n; i++)
386 Vec3d x1(x1ptr[i].x, x1ptr[i].y, 1.);
387 Vec3d x2(x2ptr[i].x, x2ptr[i].y, 1.);
389 Vec3d Etx2 = E.t() * x2;
390 double x2tEx1 = x2.dot(Ex1);
392 double a = Ex1[0] * Ex1[0];
393 double b = Ex1[1] * Ex1[1];
394 double c = Etx2[0] * Etx2[0];
395 double d = Etx2[1] * Etx2[1];
397 err.at<float>(i) = (float)(x2tEx1 * x2tEx1 / (a + b + c + d));
404 // Input should be a vector of n 2D points or a Nx2 matrix
405 cv::Mat cv::findEssentialMat( InputArray _points1, InputArray _points2, InputArray _cameraMatrix,
406 int method, double prob, double threshold, OutputArray _mask)
408 CV_INSTRUMENT_REGION();
410 Mat points1, points2, cameraMatrix;
411 _points1.getMat().convertTo(points1, CV_64F);
412 _points2.getMat().convertTo(points2, CV_64F);
413 _cameraMatrix.getMat().convertTo(cameraMatrix, CV_64F);
415 int npoints = points1.checkVector(2);
416 CV_Assert( npoints >= 0 && points2.checkVector(2) == npoints &&
417 points1.type() == points2.type());
419 CV_Assert(cameraMatrix.rows == 3 && cameraMatrix.cols == 3 && cameraMatrix.channels() == 1);
421 if (points1.channels() > 1)
423 points1 = points1.reshape(1, npoints);
424 points2 = points2.reshape(1, npoints);
427 double fx = cameraMatrix.at<double>(0,0);
428 double fy = cameraMatrix.at<double>(1,1);
429 double cx = cameraMatrix.at<double>(0,2);
430 double cy = cameraMatrix.at<double>(1,2);
432 points1.col(0) = (points1.col(0) - cx) / fx;
433 points2.col(0) = (points2.col(0) - cx) / fx;
434 points1.col(1) = (points1.col(1) - cy) / fy;
435 points2.col(1) = (points2.col(1) - cy) / fy;
437 // Reshape data to fit opencv ransac function
438 points1 = points1.reshape(2, npoints);
439 points2 = points2.reshape(2, npoints);
441 threshold /= (fx+fy)/2;
444 if( method == RANSAC )
445 createRANSACPointSetRegistrator(makePtr<EMEstimatorCallback>(), 5, threshold, prob)->run(points1, points2, E, _mask);
447 createLMeDSPointSetRegistrator(makePtr<EMEstimatorCallback>(), 5, prob)->run(points1, points2, E, _mask);
452 cv::Mat cv::findEssentialMat( InputArray _points1, InputArray _points2, double focal, Point2d pp,
453 int method, double prob, double threshold, OutputArray _mask)
455 CV_INSTRUMENT_REGION();
457 Mat cameraMatrix = (Mat_<double>(3,3) << focal, 0, pp.x, 0, focal, pp.y, 0, 0, 1);
458 return cv::findEssentialMat(_points1, _points2, cameraMatrix, method, prob, threshold, _mask);
461 int cv::recoverPose( InputArray E, InputArray _points1, InputArray _points2,
462 InputArray _cameraMatrix, OutputArray _R, OutputArray _t, double distanceThresh,
463 InputOutputArray _mask, OutputArray triangulatedPoints)
465 CV_INSTRUMENT_REGION();
467 Mat points1, points2, cameraMatrix;
468 _points1.getMat().convertTo(points1, CV_64F);
469 _points2.getMat().convertTo(points2, CV_64F);
470 _cameraMatrix.getMat().convertTo(cameraMatrix, CV_64F);
472 int npoints = points1.checkVector(2);
473 CV_Assert( npoints >= 0 && points2.checkVector(2) == npoints &&
474 points1.type() == points2.type());
476 CV_Assert(cameraMatrix.rows == 3 && cameraMatrix.cols == 3 && cameraMatrix.channels() == 1);
478 if (points1.channels() > 1)
480 points1 = points1.reshape(1, npoints);
481 points2 = points2.reshape(1, npoints);
484 double fx = cameraMatrix.at<double>(0,0);
485 double fy = cameraMatrix.at<double>(1,1);
486 double cx = cameraMatrix.at<double>(0,2);
487 double cy = cameraMatrix.at<double>(1,2);
489 points1.col(0) = (points1.col(0) - cx) / fx;
490 points2.col(0) = (points2.col(0) - cx) / fx;
491 points1.col(1) = (points1.col(1) - cy) / fy;
492 points2.col(1) = (points2.col(1) - cy) / fy;
494 points1 = points1.t();
495 points2 = points2.t();
498 decomposeEssentialMat(E, R1, R2, t);
499 Mat P0 = Mat::eye(3, 4, R1.type());
500 Mat P1(3, 4, R1.type()), P2(3, 4, R1.type()), P3(3, 4, R1.type()), P4(3, 4, R1.type());
501 P1(Range::all(), Range(0, 3)) = R1 * 1.0; P1.col(3) = t * 1.0;
502 P2(Range::all(), Range(0, 3)) = R2 * 1.0; P2.col(3) = t * 1.0;
503 P3(Range::all(), Range(0, 3)) = R1 * 1.0; P3.col(3) = -t * 1.0;
504 P4(Range::all(), Range(0, 3)) = R2 * 1.0; P4.col(3) = -t * 1.0;
506 // Do the cheirality check.
507 // Notice here a threshold dist is used to filter
508 // out far away points (i.e. infinite points) since
509 // their depth may vary between positive and negative.
510 std::vector<Mat> allTriangulations(4);
513 triangulatePoints(P0, P1, points1, points2, Q);
514 if(triangulatedPoints.needed())
515 Q.copyTo(allTriangulations[0]);
516 Mat mask1 = Q.row(2).mul(Q.row(3)) > 0;
517 Q.row(0) /= Q.row(3);
518 Q.row(1) /= Q.row(3);
519 Q.row(2) /= Q.row(3);
520 Q.row(3) /= Q.row(3);
521 mask1 = (Q.row(2) < distanceThresh) & mask1;
523 mask1 = (Q.row(2) > 0) & mask1;
524 mask1 = (Q.row(2) < distanceThresh) & mask1;
526 triangulatePoints(P0, P2, points1, points2, Q);
527 if(triangulatedPoints.needed())
528 Q.copyTo(allTriangulations[1]);
529 Mat mask2 = Q.row(2).mul(Q.row(3)) > 0;
530 Q.row(0) /= Q.row(3);
531 Q.row(1) /= Q.row(3);
532 Q.row(2) /= Q.row(3);
533 Q.row(3) /= Q.row(3);
534 mask2 = (Q.row(2) < distanceThresh) & mask2;
536 mask2 = (Q.row(2) > 0) & mask2;
537 mask2 = (Q.row(2) < distanceThresh) & mask2;
539 triangulatePoints(P0, P3, points1, points2, Q);
540 if(triangulatedPoints.needed())
541 Q.copyTo(allTriangulations[2]);
542 Mat mask3 = Q.row(2).mul(Q.row(3)) > 0;
543 Q.row(0) /= Q.row(3);
544 Q.row(1) /= Q.row(3);
545 Q.row(2) /= Q.row(3);
546 Q.row(3) /= Q.row(3);
547 mask3 = (Q.row(2) < distanceThresh) & mask3;
549 mask3 = (Q.row(2) > 0) & mask3;
550 mask3 = (Q.row(2) < distanceThresh) & mask3;
552 triangulatePoints(P0, P4, points1, points2, Q);
553 if(triangulatedPoints.needed())
554 Q.copyTo(allTriangulations[3]);
555 Mat mask4 = Q.row(2).mul(Q.row(3)) > 0;
556 Q.row(0) /= Q.row(3);
557 Q.row(1) /= Q.row(3);
558 Q.row(2) /= Q.row(3);
559 Q.row(3) /= Q.row(3);
560 mask4 = (Q.row(2) < distanceThresh) & mask4;
562 mask4 = (Q.row(2) > 0) & mask4;
563 mask4 = (Q.row(2) < distanceThresh) & mask4;
570 // If _mask is given, then use it to filter outliers.
573 Mat mask = _mask.getMat();
574 CV_Assert(npoints == mask.checkVector(1));
575 mask = mask.reshape(1, npoints);
576 bitwise_and(mask, mask1, mask1);
577 bitwise_and(mask, mask2, mask2);
578 bitwise_and(mask, mask3, mask3);
579 bitwise_and(mask, mask4, mask4);
581 if (_mask.empty() && _mask.needed())
583 _mask.create(mask1.size(), CV_8U);
586 CV_Assert(_R.needed() && _t.needed());
587 _R.create(3, 3, R1.type());
588 _t.create(3, 1, t.type());
590 int good1 = countNonZero(mask1);
591 int good2 = countNonZero(mask2);
592 int good3 = countNonZero(mask3);
593 int good4 = countNonZero(mask4);
595 if (good1 >= good2 && good1 >= good3 && good1 >= good4)
597 if(triangulatedPoints.needed()) allTriangulations[0].copyTo(triangulatedPoints);
600 if (_mask.needed()) mask1.copyTo(_mask);
603 else if (good2 >= good1 && good2 >= good3 && good2 >= good4)
605 if(triangulatedPoints.needed()) allTriangulations[1].copyTo(triangulatedPoints);
608 if (_mask.needed()) mask2.copyTo(_mask);
611 else if (good3 >= good1 && good3 >= good2 && good3 >= good4)
613 if(triangulatedPoints.needed()) allTriangulations[2].copyTo(triangulatedPoints);
617 if (_mask.needed()) mask3.copyTo(_mask);
622 if(triangulatedPoints.needed()) allTriangulations[3].copyTo(triangulatedPoints);
626 if (_mask.needed()) mask4.copyTo(_mask);
631 int cv::recoverPose( InputArray E, InputArray _points1, InputArray _points2, InputArray _cameraMatrix,
632 OutputArray _R, OutputArray _t, InputOutputArray _mask)
634 return cv::recoverPose(E, _points1, _points2, _cameraMatrix, _R, _t, 50, _mask);
637 int cv::recoverPose( InputArray E, InputArray _points1, InputArray _points2, OutputArray _R,
638 OutputArray _t, double focal, Point2d pp, InputOutputArray _mask)
640 Mat cameraMatrix = (Mat_<double>(3,3) << focal, 0, pp.x, 0, focal, pp.y, 0, 0, 1);
641 return cv::recoverPose(E, _points1, _points2, cameraMatrix, _R, _t, _mask);
644 void cv::decomposeEssentialMat( InputArray _E, OutputArray _R1, OutputArray _R2, OutputArray _t )
646 CV_INSTRUMENT_REGION();
648 Mat E = _E.getMat().reshape(1, 3);
649 CV_Assert(E.cols == 3 && E.rows == 3);
652 SVD::compute(E, D, U, Vt);
654 if (determinant(U) < 0) U *= -1.;
655 if (determinant(Vt) < 0) Vt *= -1.;
657 Mat W = (Mat_<double>(3, 3) << 0, 1, 0, -1, 0, 0, 0, 0, 1);
658 W.convertTo(W, E.type());
projects / platform / upstream / opencv.git / blob