Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 2033771535] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3086 geometric_solution 6.25360527 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 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 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 0.618952277888 0.980191074699 0 4 2 3 0132 0132 3201 3012 0 0 0 0 0 -1 0 1 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 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 0.355104653393 0.666879744400 1 0 6 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 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 1.539427697481 0.729375876478 6 5 1 0 1230 0132 1230 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178899107715 0.789276022065 5 1 0 6 3120 0132 0132 2310 0 0 0 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 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 0.700522310586 0.854623914387 6 3 2 4 2031 0132 0132 3120 0 0 0 0 0 0 0 0 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 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 0.632997312846 0.608463108194 4 3 5 2 3201 3012 1302 0132 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 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 0.688494658977 0.456598867215 ==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' : 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' : 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_0101_1']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], '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_0011_6'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_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_0011_6, c_0101_1, c_0101_2, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 163363/821009*c_1001_0^8 + 109133/117287*c_1001_0^7 - 1109802/821009*c_1001_0^6 - 1061293/821009*c_1001_0^5 + 7685574/821009*c_1001_0^4 - 1226060/821009*c_1001_0^3 - 11587787/821009*c_1001_0^2 + 418686/43211*c_1001_0 + 3867867/821009, c_0011_0 - 1, c_0011_3 + 724/821009*c_1001_0^8 - 971/117287*c_1001_0^7 - 58332/821009*c_1001_0^6 + 4117/43211*c_1001_0^5 - 242094/821009*c_1001_0^4 - 816714/821009*c_1001_0^3 + 590113/821009*c_1001_0^2 + 497150/821009*c_1001_0 - 56313/43211, c_0011_6 - 79459/821009*c_1001_0^8 + 18602/117287*c_1001_0^7 - 166135/821009*c_1001_0^6 - 52139/43211*c_1001_0^5 + 708033/821009*c_1001_0^4 + 1375894/821009*c_1001_0^3 - 1752461/821009*c_1001_0^2 - 786123/821009*c_1001_0 + 33587/43211, c_0101_1 - 3456/821009*c_1001_0^8 + 10467/117287*c_1001_0^7 - 111646/821009*c_1001_0^6 + 5176/43211*c_1001_0^5 + 924297/821009*c_1001_0^4 - 501314/821009*c_1001_0^3 - 1056940/821009*c_1001_0^2 + 1155842/821009*c_1001_0 + 17660/43211, c_0101_2 - 23267/821009*c_1001_0^8 + 4799/117287*c_1001_0^7 + 37536/821009*c_1001_0^6 - 22668/43211*c_1001_0^5 + 275364/821009*c_1001_0^4 + 1468837/821009*c_1001_0^3 - 1048395/821009*c_1001_0^2 - 1486652/821009*c_1001_0 + 74532/43211, c_0101_3 + 27980/821009*c_1001_0^8 + 2002/117287*c_1001_0^7 - 63453/821009*c_1001_0^6 + 29713/43211*c_1001_0^5 + 296462/821009*c_1001_0^4 - 1085939/821009*c_1001_0^3 + 434387/821009*c_1001_0^2 + 1169008/821009*c_1001_0 - 23146/43211, c_1001_0^9 - 2*c_1001_0^8 + 2*c_1001_0^7 + 14*c_1001_0^6 - 17*c_1001_0^5 - 18*c_1001_0^4 + 46*c_1001_0^3 - 3*c_1001_0^2 - 29*c_1001_0 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB