Magma V2.19-8 Tue Aug 20 2013 16:17:32 on localhost [Seed = 3515895053] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1777 geometric_solution 5.45827473 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -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 -0.003125821377 1.632800879764 0 5 1 1 0132 0132 1230 3012 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273043563059 0.819920289346 4 0 6 5 1302 0132 0132 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 -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 0.700851295649 0.523635205050 5 4 6 0 3201 3012 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 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 -0.136571255204 0.440513092359 3 2 0 6 1230 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 -0.267627190003 0.395661092271 2 1 6 3 3201 0132 3012 2310 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 -1 1 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 -0.003125821377 1.632800879764 3 5 4 2 2031 1230 2031 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718843267402 0.224370630888 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : d['c_0011_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 56045413/174174*c_0101_6^7 - 2481060/4147*c_0101_6^6 + 48575129/58058*c_0101_6^5 - 83486539/174174*c_0101_6^4 - 14903090/87087*c_0101_6^3 + 7313182/87087*c_0101_6^2 - 5822500/87087*c_0101_6 - 2006605/87087, c_0011_0 - 1, c_0011_3 - c_0101_6, c_0011_4 - 20536/957*c_0101_6^7 + 18233/319*c_0101_6^6 - 28395/319*c_0101_6^5 + 25609/319*c_0101_6^4 - 6301/319*c_0101_6^3 - 10517/957*c_0101_6^2 + 8528/957*c_0101_6 - 3977/957, c_0011_6 + 4607/957*c_0101_6^7 - 4445/319*c_0101_6^6 + 22057/957*c_0101_6^5 - 6987/319*c_0101_6^4 + 6269/957*c_0101_6^3 + 4534/957*c_0101_6^2 - 1575/319*c_0101_6 + 598/319, c_0101_0 + 3128/319*c_0101_6^7 - 16196/957*c_0101_6^6 + 6629/319*c_0101_6^5 - 6652/957*c_0101_6^4 - 4519/319*c_0101_6^3 + 6874/957*c_0101_6^2 - 2923/957*c_0101_6 - 178/319, c_0101_5 - 51034/957*c_0101_6^7 + 129028/957*c_0101_6^6 - 68202/319*c_0101_6^5 + 183938/957*c_0101_6^4 - 17852/319*c_0101_6^3 - 7816/957*c_0101_6^2 + 14758/957*c_0101_6 - 4634/957, c_0101_6^8 - 44/17*c_0101_6^7 + 74/17*c_0101_6^6 - 72/17*c_0101_6^5 + 31/17*c_0101_6^4 - 5/17*c_0101_6^3 - 6/17*c_0101_6^2 + 3/17*c_0101_6 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB