Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 2101141880] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s461 geometric_solution 4.80028258 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3120 0132 0132 0 0 0 0 0 -1 0 1 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 1 1 -2 -1 0 0 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 0.297098594986 0.679613414081 0 0 2 3 0132 3120 1023 2310 0 0 0 0 0 1 0 -1 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 -1 0 1 1 0 -1 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 0.297098594986 0.679613414081 4 4 1 0 0132 3201 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.611326148348 2.779536004300 1 5 0 5 3201 0132 0132 2310 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 -1 2 -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 0.642601717809 1.050699712233 2 4 2 4 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488698579777 0.566435491492 3 3 5 5 3201 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 1 0 -1 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354996093434 0.226413083133 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_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_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 1189610*c_0110_5^24 - 18529179*c_0110_5^22 + 114024951*c_0110_5^20 - 395694013*c_0110_5^18 + 894766838*c_0110_5^16 - 1404570896*c_0110_5^14 + 1557416623*c_0110_5^12 - 1210005428*c_0110_5^10 + 644654443*c_0110_5^8 - 228455562*c_0110_5^6 + 51223989*c_0110_5^4 - 6563344*c_0110_5^2 + 366058, c_0011_0 - 1, c_0011_2 - 268410*c_0110_5^25 + 4172739*c_0110_5^23 - 25605887*c_0110_5^21 + 88558135*c_0110_5^19 - 199485789*c_0110_5^17 + 311756082*c_0110_5^15 - 343795320*c_0110_5^13 + 265249716*c_0110_5^11 - 140081336*c_0110_5^9 + 49126333*c_0110_5^7 - 10886259*c_0110_5^5 + 1377284*c_0110_5^3 - 75801*c_0110_5, c_0011_3 - 10*c_0110_5^25 + 159*c_0110_5^23 - 1009*c_0110_5^21 + 3637*c_0110_5^19 - 8600*c_0110_5^17 + 14246*c_0110_5^15 - 16921*c_0110_5^13 + 14418*c_0110_5^11 - 8719*c_0110_5^9 + 3679*c_0110_5^7 - 1054*c_0110_5^5 + 195*c_0110_5^3 - 20*c_0110_5, c_0101_0 + 180*c_0110_5^25 - 2852*c_0110_5^23 + 18003*c_0110_5^21 - 64457*c_0110_5^19 + 151163*c_0110_5^17 - 247828*c_0110_5^15 + 290332*c_0110_5^13 - 242603*c_0110_5^11 + 142524*c_0110_5^9 - 57503*c_0110_5^7 + 15293*c_0110_5^5 - 2456*c_0110_5^3 + 184*c_0110_5, c_0101_2 + 41810*c_0110_5^24 - 648809*c_0110_5^22 + 3970806*c_0110_5^20 - 13689584*c_0110_5^18 + 30727644*c_0110_5^16 - 47825610*c_0110_5^14 + 52478943*c_0110_5^12 - 40236485*c_0110_5^10 + 21085169*c_0110_5^8 - 7328081*c_0110_5^6 + 1607696*c_0110_5^4 - 201210*c_0110_5^2 + 10947, c_0110_5^26 - 159/10*c_0110_5^24 + 1009/10*c_0110_5^22 - 3637/10*c_0110_5^20 + 860*c_0110_5^18 - 7123/5*c_0110_5^16 + 16921/10*c_0110_5^14 - 7209/5*c_0110_5^12 + 8719/10*c_0110_5^10 - 3679/10*c_0110_5^8 + 527/5*c_0110_5^6 - 39/2*c_0110_5^4 + 21/10*c_0110_5^2 - 1/10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB