Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 256807903] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1405 geometric_solution 5.24838420 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.010472158079 0.294412303631 0 0 2 2 0132 3201 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 0 0 0 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.673666401954 0.750666107443 3 1 1 4 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 0 -1 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 0.970696725295 0.273720616668 2 5 5 4 0132 0132 0321 2031 1 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 -2 1 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 0.751710801535 0.678821993849 6 3 2 6 0132 1302 0132 2031 0 0 1 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 1 0 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751710801535 0.678821993849 6 3 3 6 3201 0132 0321 3012 1 0 0 0 0 -1 1 0 1 0 -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 -1 2 -1 1 0 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751710801535 0.678821993849 4 4 5 5 0132 1302 1230 2310 0 0 0 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 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267244433430 0.661704732308 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_0011_2'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 4282231973/34853961236*c_0101_3^8 - 31695877295/34853961236*c_0101_3^7 - 196505569199/69707922472*c_0101_3^6 + 140124105955/34853961236*c_0101_3^5 + 1098399445711/69707922472*c_0101_3^4 - 472221939209/34853961236*c_0101_3^3 - 1365166498501/69707922472*c_0101_3^2 + 269357399773/34853961236*c_0101_3 + 1951750773251/69707922472, c_0011_0 - 1, c_0011_2 + 741169/718638376*c_0101_3^8 - 8558111/718638376*c_0101_3^7 + 6512639/718638376*c_0101_3^6 + 87928769/718638376*c_0101_3^5 - 9729585/718638376*c_0101_3^4 - 467809081/718638376*c_0101_3^3 + 167349025/718638376*c_0101_3^2 + 675650495/718638376*c_0101_3 + 14921708/89829797, c_0011_4 - 2582261/179659594*c_0101_3^8 + 78869793/718638376*c_0101_3^7 + 217756409/718638376*c_0101_3^6 - 379212259/718638376*c_0101_3^5 - 1236030257/718638376*c_0101_3^4 + 1252129315/718638376*c_0101_3^3 + 961922591/718638376*c_0101_3^2 - 563790193/718638376*c_0101_3 - 1693501267/718638376, c_0101_0 + 1456329/179659594*c_0101_3^8 - 5280078/89829797*c_0101_3^7 - 68913921/359319188*c_0101_3^6 + 81711655/359319188*c_0101_3^5 + 165693587/179659594*c_0101_3^4 - 97585468/89829797*c_0101_3^3 - 406885785/359319188*c_0101_3^2 + 491696417/359319188*c_0101_3 + 220635901/179659594, c_0101_1 + 159843/89829797*c_0101_3^8 - 11086095/718638376*c_0101_3^7 - 21560097/718638376*c_0101_3^6 + 112627123/718638376*c_0101_3^5 + 173625103/718638376*c_0101_3^4 - 422945265/718638376*c_0101_3^3 - 109961295/718638376*c_0101_3^2 + 815084181/718638376*c_0101_3 - 151495407/718638376, c_0101_3^9 - 7*c_0101_3^8 - 26*c_0101_3^7 + 24*c_0101_3^6 + 144*c_0101_3^5 - 58*c_0101_3^4 - 214*c_0101_3^3 - 8*c_0101_3^2 + 255*c_0101_3 + 97, c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB