Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 37986053] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3344 geometric_solution 6.49156678 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 0132 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 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 0 0.514614844193 0.488671665656 0 2 4 3 0132 1302 0132 0213 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 0 -1 -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 0.317233974245 0.949013475024 0 0 5 1 2103 0132 0132 2031 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 0 0 0 1 0 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 1.595922143635 1.275915775470 5 6 0 1 0213 0132 0132 0213 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 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 0 0 0.727357403987 0.639240283924 5 5 6 1 1230 0213 2103 0132 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 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 0 0.456784322615 0.507862461966 3 4 4 2 0213 3012 0213 0132 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 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 0.400065449855 0.656660400635 4 3 6 6 2103 0132 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 1 -1 0 -1 0 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 0.527254611951 0.928562316472 ==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_0110_6'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_5, c_0101_0, c_0101_4, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 939/11*c_0110_6^16 + 7455/11*c_0110_6^15 + 17135/11*c_0110_6^14 - 6807/11*c_0110_6^13 - 65335/11*c_0110_6^12 - 22371/11*c_0110_6^11 + 62375/11*c_0110_6^10 - 164453/11*c_0110_6^9 - 282022/11*c_0110_6^8 + 385710/11*c_0110_6^7 + 689248/11*c_0110_6^6 - 160007/11*c_0110_6^5 - 47140*c_0110_6^4 - 21086/11*c_0110_6^3 + 99141/11*c_0110_6^2 - 19946/11*c_0110_6 - 3270/11, c_0011_0 - 1, c_0011_3 + 7*c_0110_6^16 + 39*c_0110_6^15 + 29*c_0110_6^14 - 156*c_0110_6^13 - 150*c_0110_6^12 + 325*c_0110_6^11 - 146*c_0110_6^10 - 1149*c_0110_6^9 + 706*c_0110_6^8 + 2260*c_0110_6^7 - 672*c_0110_6^6 - 1730*c_0110_6^5 + 472*c_0110_6^4 + 363*c_0110_6^3 - 252*c_0110_6^2 + 52*c_0110_6 - 4, c_0011_5 - 52*c_0110_6^16 - 288*c_0110_6^15 - 201*c_0110_6^14 + 1190*c_0110_6^13 + 1081*c_0110_6^12 - 2559*c_0110_6^11 + 1136*c_0110_6^10 + 8720*c_0110_6^9 - 5799*c_0110_6^8 - 17155*c_0110_6^7 + 6366*c_0110_6^6 + 13503*c_0110_6^5 - 4699*c_0110_6^4 - 2971*c_0110_6^3 + 2201*c_0110_6^2 - 487*c_0110_6 + 39, c_0101_0 - 46*c_0110_6^16 - 258*c_0110_6^15 - 195*c_0110_6^14 + 1042*c_0110_6^13 + 1024*c_0110_6^12 - 2211*c_0110_6^11 + 870*c_0110_6^10 + 7812*c_0110_6^9 - 4674*c_0110_6^8 - 15517*c_0110_6^7 + 4789*c_0110_6^6 + 12238*c_0110_6^5 - 3565*c_0110_6^4 - 2779*c_0110_6^3 + 1832*c_0110_6^2 - 375*c_0110_6 + 28, c_0101_4 - 3*c_0110_6^16 - 16*c_0110_6^15 - 9*c_0110_6^14 + 68*c_0110_6^13 + 51*c_0110_6^12 - 145*c_0110_6^11 + 85*c_0110_6^10 + 462*c_0110_6^9 - 371*c_0110_6^8 - 893*c_0110_6^7 + 408*c_0110_6^6 + 698*c_0110_6^5 - 270*c_0110_6^4 - 149*c_0110_6^3 + 111*c_0110_6^2 - 26*c_0110_6 + 2, c_0110_2 - 19*c_0110_6^16 - 107*c_0110_6^15 - 83*c_0110_6^14 + 429*c_0110_6^13 + 435*c_0110_6^12 - 903*c_0110_6^11 + 332*c_0110_6^10 + 3235*c_0110_6^9 - 1850*c_0110_6^8 - 6478*c_0110_6^7 + 1806*c_0110_6^6 + 5128*c_0110_6^5 - 1328*c_0110_6^4 - 1180*c_0110_6^3 + 727*c_0110_6^2 - 141*c_0110_6 + 10, c_0110_6^17 + 7*c_0110_6^16 + 12*c_0110_6^15 - 17*c_0110_6^14 - 54*c_0110_6^13 + 18*c_0110_6^12 + 49*c_0110_6^11 - 198*c_0110_6^10 - 134*c_0110_6^9 + 486*c_0110_6^8 + 362*c_0110_6^7 - 425*c_0110_6^6 - 290*c_0110_6^5 + 179*c_0110_6^4 + 42*c_0110_6^3 - 50*c_0110_6^2 + 12*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB