Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 307466030] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2698 geometric_solution 5.95227869 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897833441437 1.981128828026 0 4 0 5 0132 0132 2310 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237939044266 0.329429557179 5 3 3 0 0132 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430118140964 0.367406736639 2 4 0 2 1302 2310 0132 3012 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430118140964 0.367406736639 6 1 5 3 0132 0132 2310 3201 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455076827794 1.107662880301 2 4 1 6 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455076827794 1.107662880301 4 5 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.228904221435 1.502983952906 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_2, c_0101_4, c_0110_3, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 3*c_1001_1 + 5, c_0011_0 - 1, c_0011_2 + 1, c_0101_0 - c_1001_1, c_0101_2 - 1, c_0101_4 - c_1001_1, c_0110_3 - c_1001_1, c_1001_1^2 + c_1001_1 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_2, c_0101_4, c_0110_3, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 12994235/83294*c_1001_1^11 + 40794205/41647*c_1001_1^10 + 33795732/41647*c_1001_1^9 - 102218753/41647*c_1001_1^8 - 108682723/41647*c_1001_1^7 + 190505463/83294*c_1001_1^6 + 184924781/83294*c_1001_1^5 - 57718747/83294*c_1001_1^4 - 33049359/83294*c_1001_1^3 - 25373001/83294*c_1001_1^2 - 11027349/83294*c_1001_1 + 8372916/41647, c_0011_0 - 1, c_0011_2 - 22635/83294*c_1001_1^11 + 117995/41647*c_1001_1^10 + 1019388/41647*c_1001_1^9 + 701218/41647*c_1001_1^8 - 2168017/41647*c_1001_1^7 - 2999275/83294*c_1001_1^6 + 2824267/83294*c_1001_1^5 + 1256901/83294*c_1001_1^4 + 81941/83294*c_1001_1^3 + 130667/83294*c_1001_1^2 - 455095/83294*c_1001_1 - 4804/41647, c_0101_0 - c_1001_1, c_0101_2 - 56425/83294*c_1001_1^11 - 548295/83294*c_1001_1^10 - 1333515/83294*c_1001_1^9 + 381176/41647*c_1001_1^8 + 3750447/83294*c_1001_1^7 - 71309/83294*c_1001_1^6 - 1571580/41647*c_1001_1^5 - 90006/41647*c_1001_1^4 + 169563/83294*c_1001_1^3 + 124109/83294*c_1001_1^2 + 279003/41647*c_1001_1 - 119821/83294, c_0101_4 + 55615/41647*c_1001_1^11 + 843975/83294*c_1001_1^10 + 668336/41647*c_1001_1^9 - 897300/41647*c_1001_1^8 - 4153825/83294*c_1001_1^7 + 489907/41647*c_1001_1^6 + 1751145/41647*c_1001_1^5 + 263439/83294*c_1001_1^4 - 405709/83294*c_1001_1^3 - 509199/83294*c_1001_1^2 - 160968/41647*c_1001_1 + 77085/41647, c_0110_3 - 173225/83294*c_1001_1^11 - 515350/41647*c_1001_1^10 - 323820/41647*c_1001_1^9 + 2496365/83294*c_1001_1^8 + 2105505/83294*c_1001_1^7 - 1956837/83294*c_1001_1^6 - 1499343/83294*c_1001_1^5 + 289547/83294*c_1001_1^4 + 53013/83294*c_1001_1^3 + 160421/41647*c_1001_1^2 + 150405/83294*c_1001_1 - 38936/41647, c_1001_1^12 + 6*c_1001_1^11 + 17/5*c_1001_1^10 - 88/5*c_1001_1^9 - 66/5*c_1001_1^8 + 98/5*c_1001_1^7 + 12*c_1001_1^6 - 8*c_1001_1^5 - 12/5*c_1001_1^4 - 8/5*c_1001_1^3 - 2/5*c_1001_1^2 + 8/5*c_1001_1 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB