Magma V2.19-8 Tue Aug 20 2013 16:16:49 on localhost [Seed = 1031578088] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1097 geometric_solution 4.96512765 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 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 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 1.291397043150 0.243620469094 0 0 1 1 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 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 1.520227571828 0.135576268912 3 0 0 4 0132 0132 1023 0132 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 1 0 -1 1 0 -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 0.790891298176 0.872338662793 2 5 6 4 0132 0132 0132 2031 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 1 -1 -1 0 1 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 0.260091447968 0.448629635691 6 3 2 5 2310 1302 0132 2310 0 0 0 0 0 0 1 -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 0 1 -1 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260091447968 0.448629635691 4 3 6 6 3201 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.479817104064 0.897259271382 5 5 4 3 3012 1230 3201 0132 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 1 -1 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 0.516407836843 0.834144212257 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 344241/1965376*c_0101_2*c_0101_5^10 + 436567/982688*c_0101_2*c_0101_5^8 + 645161/1965376*c_0101_2*c_0101_5^6 + 20886373/1965376*c_0101_2*c_0101_5^4 + 4079881/491344*c_0101_2*c_0101_5^2 + 751805/122836*c_0101_2, c_0011_0 - 1, c_0011_4 + 7773/122836*c_0101_2*c_0101_5^11 - 17915/184254*c_0101_2*c_0101_5^9 + 89595/122836*c_0101_2*c_0101_5^7 + 292639/368508*c_0101_2*c_0101_5^5 + 309871/184254*c_0101_2*c_0101_5^3 + 194983/184254*c_0101_2*c_0101_5, c_0101_0 + 8385/122836*c_0101_5^10 + 24665/368508*c_0101_5^8 + 37903/122836*c_0101_5^6 + 82847/26322*c_0101_5^4 + 94001/52644*c_0101_5^2 + 172448/92127, c_0101_1 - 2823/61418*c_0101_2*c_0101_5^10 - 22753/368508*c_0101_2*c_0101_5^8 - 3658/30709*c_0101_2*c_0101_5^6 - 874355/368508*c_0101_2*c_0101_5^4 - 382045/368508*c_0101_2*c_0101_5^2 - 12955/13161*c_0101_2, c_0101_2^2 - 44031/122836*c_0101_5^10 + 278165/368508*c_0101_5^8 - 517429/122836*c_0101_5^6 - 521083/184254*c_0101_5^4 - 1300081/368508*c_0101_5^2 - 146071/92127, c_0101_3 + 2517/30709*c_0101_5^10 - 18871/92127*c_0101_5^8 + 33162/30709*c_0101_5^6 + 3568/92127*c_0101_5^4 + 171890/92127*c_0101_5^2 + 31457/92127, c_0101_5^12 - 17/9*c_0101_5^10 + 103/9*c_0101_5^8 + 86/9*c_0101_5^6 + 43/3*c_0101_5^4 + 44/9*c_0101_5^2 + 16/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB