Magma V2.19-8 Tue Aug 20 2013 16:17:15 on localhost [Seed = 2917937523] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1491 geometric_solution 5.30286377 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1302 0 0 0 0 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 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 0.632569222618 0.668871158883 0 3 0 4 0132 1230 2031 0132 0 0 0 0 0 0 0 0 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 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 0.728328789388 0.018122565770 5 0 3 5 0132 0132 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962487522846 0.688013023020 4 2 1 0 0132 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438687126301 0.847908644306 3 6 1 6 0132 0132 0132 1023 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 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 0.764513238249 0.465431531289 2 6 6 2 0132 3012 0321 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962487522846 0.688013023020 5 4 5 4 1230 0132 0321 1023 0 0 0 0 0 -1 0 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 0 -1 0 1 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 1.766628792301 0.957625192955 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(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_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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' : d['c_0101_3'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_3'], '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_3, 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: 2 Groebner basis: [ t - 1/4, c_0011_0 - 1, c_0011_3 + 1, c_0101_0 + c_0101_5, c_0101_1 + 1, c_0101_2 - c_0101_5 - 1, c_0101_3 + c_0101_5 + 1, c_0101_5^2 + c_0101_5 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, 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: 12 Groebner basis: [ t + 1763/58*c_0101_5^11 - 6229/116*c_0101_5^10 + 17577/116*c_0101_5^9 - 20447/58*c_0101_5^8 + 17471/58*c_0101_5^7 - 105681/116*c_0101_5^6 + 28769/116*c_0101_5^5 - 146835/116*c_0101_5^4 + 9539/58*c_0101_5^3 - 17067/29*c_0101_5^2 + 4501/116*c_0101_5 - 2655/29, c_0011_0 - 1, c_0011_3 - 2*c_0101_5^11 - c_0101_5^10 - 13*c_0101_5^9 - 5*c_0101_5^8 - 35*c_0101_5^7 - 11*c_0101_5^6 - 49*c_0101_5^5 - 6*c_0101_5^4 - 31*c_0101_5^3 - c_0101_5^2 - 8*c_0101_5, c_0101_0 - 12*c_0101_5^11 - 22*c_0101_5^10 - 84*c_0101_5^9 - 127*c_0101_5^8 - 234*c_0101_5^7 - 304*c_0101_5^6 - 333*c_0101_5^5 - 325*c_0101_5^4 - 157*c_0101_5^3 - 134*c_0101_5^2 - 24*c_0101_5 - 19, c_0101_1 - 23*c_0101_5^11 - 21/2*c_0101_5^10 - 140*c_0101_5^9 - 91/2*c_0101_5^8 - 344*c_0101_5^7 - 165/2*c_0101_5^6 - 417*c_0101_5^5 + 10*c_0101_5^4 - 353/2*c_0101_5^3 + 29*c_0101_5^2 - 49/2*c_0101_5 + 13/2, c_0101_2 + c_0101_5, c_0101_3 - 12*c_0101_5^11 - 6*c_0101_5^10 - 76*c_0101_5^9 - 29*c_0101_5^8 - 197*c_0101_5^7 - 61*c_0101_5^6 - 259*c_0101_5^5 - 25*c_0101_5^4 - 137*c_0101_5^3 - 24*c_0101_5 + 1, c_0101_5^12 + 1/2*c_0101_5^11 + 13/2*c_0101_5^10 + 5/2*c_0101_5^9 + 35/2*c_0101_5^8 + 11/2*c_0101_5^7 + 49/2*c_0101_5^6 + 3*c_0101_5^5 + 31/2*c_0101_5^4 + 1/2*c_0101_5^3 + 9/2*c_0101_5^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB