Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 458917880] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2044 geometric_solution 5.57642536 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 1 -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 0.259285514450 0.329821451027 2 0 3 0 0132 2310 0132 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 0 0 0 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267594807733 1.544045165489 1 4 3 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.607105018387 0.473432288227 5 2 4 1 0132 0213 1023 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607105018387 0.473432288227 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975721227968 0.798752486207 3 6 2 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.906154098918 0.396557959106 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 -1 1 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 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 0.808309958514 0.209809677587 ==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' : negation(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' : negation(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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_1, c_0011_3, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 27379/91*c_0101_6^7 + 144925/91*c_0101_6^6 - 89624/91*c_0101_6^5 - 581376/91*c_0101_6^4 + 463363/91*c_0101_6^3 + 9887/7*c_0101_6^2 - 175107/91*c_0101_6 + 5515/13, c_0011_0 - 1, c_0011_1 + 73/9*c_0101_6^7 - 385/9*c_0101_6^6 + 230/9*c_0101_6^5 + 1562/9*c_0101_6^4 - 1207/9*c_0101_6^3 - 397/9*c_0101_6^2 + 461/9*c_0101_6 - 89/9, c_0011_3 + 98/9*c_0101_4*c_0101_6^7 - 515/9*c_0101_4*c_0101_6^6 + 301/9*c_0101_4*c_0101_6^5 + 2092/9*c_0101_4*c_0101_6^4 - 1574/9*c_0101_4*c_0101_6^3 - 521/9*c_0101_4*c_0101_6^2 + 583/9*c_0101_4*c_0101_6 - 118/9*c_0101_4, c_0101_1 - 77/9*c_0101_6^7 + 401/9*c_0101_6^6 - 217/9*c_0101_6^5 - 1657/9*c_0101_6^4 + 1163/9*c_0101_6^3 + 470/9*c_0101_6^2 - 445/9*c_0101_6 + 82/9, c_0101_3 - 98/9*c_0101_6^7 + 515/9*c_0101_6^6 - 301/9*c_0101_6^5 - 2092/9*c_0101_6^4 + 1574/9*c_0101_6^3 + 521/9*c_0101_6^2 - 592/9*c_0101_6 + 127/9, c_0101_4^2 + 16/3*c_0101_6^7 - 88/3*c_0101_6^6 + 68/3*c_0101_6^5 + 338/3*c_0101_6^4 - 343/3*c_0101_6^3 - 58/3*c_0101_6^2 + 131/3*c_0101_6 - 32/3, c_0101_6^8 - 6*c_0101_6^7 + 7*c_0101_6^6 + 19*c_0101_6^5 - 32*c_0101_6^4 + 7*c_0101_6^3 + 10*c_0101_6^2 - 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB