Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 3566553144] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1961 geometric_solution 5.54086268 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 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 0 1 -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 -0.649930298889 0.466076810771 0 0 3 2 0132 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501500877763 1.480768397668 4 5 1 3 0132 0132 0132 3012 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 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 0.807493169252 0.787807103171 5 4 2 1 3201 3201 1230 0132 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807493169252 0.787807103171 2 6 3 6 0132 0132 2310 1023 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 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 0.843524976176 1.016262016898 5 2 5 3 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583785916042 0.385667133747 6 4 6 4 2031 0132 1302 1023 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 -1 0 1 0 0 -1 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 0.496042393317 0.185061604431 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_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_1, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 249963804601/3338710384*c_0101_1*c_0110_6^9 - 4028260017983/3338710384*c_0101_1*c_0110_6^8 + 10531415385075/3338710384*c_0101_1*c_0110_6^7 + 2990603022109/417338798*c_0101_1*c_0110_6^6 + 3959666228935/834677596*c_0101_1*c_0110_6^5 + 3821946231379/3338710384*c_0101_1*c_0110_6^4 + 1427430554757/417338798*c_0101_1*c_0110_6^3 + 2612633965767/834677596*c_0101_1*c_0110_6^2 + 1127459062603/3338710384*c_0101_1*c_0110_6 - 2706976353983/3338710384*c_0101_1, c_0011_0 - 1, c_0011_2 - 24411095/417338798*c_0101_1*c_0110_6^9 - 417791233/417338798*c_0101_1*c_0110_6^8 + 651810315/417338798*c_0101_1*c_0110_6^7 + 1815352354/208669399*c_0101_1*c_0110_6^6 + 1590718643/208669399*c_0101_1*c_0110_6^5 + 136053019/417338798*c_0101_1*c_0110_6^4 + 572697160/208669399*c_0101_1*c_0110_6^3 + 1212287959/208669399*c_0101_1*c_0110_6^2 + 336880187/417338798*c_0101_1*c_0110_6 - 539869121/417338798*c_0101_1, c_0101_0 + 37254791/417338798*c_0101_1*c_0110_6^9 + 576649545/417338798*c_0101_1*c_0110_6^8 - 1978459473/417338798*c_0101_1*c_0110_6^7 - 1467619061/208669399*c_0101_1*c_0110_6^6 + 949637782/208669399*c_0101_1*c_0110_6^5 + 33792757/417338798*c_0101_1*c_0110_6^4 - 875541045/208669399*c_0101_1*c_0110_6^3 + 10237772/208669399*c_0101_1*c_0110_6^2 + 1085912951/417338798*c_0101_1*c_0110_6 - 578804833/417338798*c_0101_1, c_0101_1^2 - 39746783/417338798*c_0110_6^9 - 615920827/417338798*c_0110_6^8 + 2076890701/417338798*c_0110_6^7 + 1416164064/208669399*c_0110_6^6 - 227922534/208669399*c_0110_6^5 + 108796791/417338798*c_0110_6^4 + 821477620/208669399*c_0110_6^3 + 229406968/208669399*c_0110_6^2 - 821880493/417338798*c_0110_6 - 127095921/417338798, c_0101_3 - 88396299/834677596*c_0110_6^9 - 1274878901/834677596*c_0110_6^8 + 6039559865/834677596*c_0110_6^7 + 161054621/208669399*c_0110_6^6 - 979111966/208669399*c_0110_6^5 - 679149235/834677596*c_0110_6^4 + 584279415/208669399*c_0110_6^3 - 651154341/208669399*c_0110_6^2 - 1154991967/834677596*c_0110_6 + 377894859/834677596, c_0101_4 - 37254791/417338798*c_0110_6^9 - 576649545/417338798*c_0110_6^8 + 1978459473/417338798*c_0110_6^7 + 1467619061/208669399*c_0110_6^6 - 949637782/208669399*c_0110_6^5 - 33792757/417338798*c_0110_6^4 + 875541045/208669399*c_0110_6^3 - 10237772/208669399*c_0110_6^2 - 1085912951/417338798*c_0110_6 + 161466035/417338798, c_0110_6^10 + 16*c_0110_6^9 - 44*c_0110_6^8 - 91*c_0110_6^7 - 52*c_0110_6^6 - 7*c_0110_6^5 - 43*c_0110_6^4 - 36*c_0110_6^3 + 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