Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 559988217] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1811 geometric_solution 5.47375747 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384831999145 0.623571972395 3 0 3 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1.313591210762 1.569845354086 5 4 5 0 0132 0132 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 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 1.313591210762 1.569845354086 1 5 1 5 0132 2310 1023 3201 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 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 0.508750673659 0.336172911616 6 2 1 6 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135569333942 0.429305549506 2 3 2 3 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508750673659 0.336172911616 4 4 6 6 0132 2310 2031 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 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 2.119754144939 2.352720471518 ==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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_0']})} 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_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 129508956012/8177737975*c_1001_0^8 - 1734426096818/8177737975*c_1001_0^7 - 12283081401836/8177737975*c_1001_0^6 - 54930232498459/8177737975*c_1001_0^5 - 164189919839174/8177737975*c_1001_0^4 - 308177611750372/8177737975*c_1001_0^3 - 346303604598282/8177737975*c_1001_0^2 - 214959456799033/8177737975*c_1001_0 - 11446666776913/1635547595, c_0011_0 - 1, c_0011_2 + 823658/29737229*c_1001_0^8 + 9983914/29737229*c_1001_0^7 + 66042604/29737229*c_1001_0^6 + 272833186/29737229*c_1001_0^5 + 746843196/29737229*c_1001_0^4 + 1215559157/29737229*c_1001_0^3 + 1214944489/29737229*c_1001_0^2 + 683051095/29737229*c_1001_0 + 164088314/29737229, c_0101_0 + 57643/632707*c_1001_0^8 + 752979/632707*c_1001_0^7 + 5240494/632707*c_1001_0^6 + 22980368/632707*c_1001_0^5 + 67175164/632707*c_1001_0^4 + 121703629/632707*c_1001_0^3 + 131240816/632707*c_1001_0^2 + 77205519/632707*c_1001_0 + 18778868/632707, c_0101_1 - 2442747/148686145*c_1001_0^8 - 30080168/148686145*c_1001_0^7 - 201683371/148686145*c_1001_0^6 - 847191034/148686145*c_1001_0^5 - 2365908739/148686145*c_1001_0^4 - 3975093552/148686145*c_1001_0^3 - 4025405807/148686145*c_1001_0^2 - 2008327378/148686145*c_1001_0 - 64853752/29737229, c_0101_2 - 2442747/148686145*c_1001_0^8 - 30080168/148686145*c_1001_0^7 - 201683371/148686145*c_1001_0^6 - 847191034/148686145*c_1001_0^5 - 2365908739/148686145*c_1001_0^4 - 3975093552/148686145*c_1001_0^3 - 4025405807/148686145*c_1001_0^2 - 2008327378/148686145*c_1001_0 - 64853752/29737229, c_0101_6 - 13812009/148686145*c_1001_0^8 - 173337226/148686145*c_1001_0^7 - 1167486227/148686145*c_1001_0^6 - 4918094813/148686145*c_1001_0^5 - 13656150313/148686145*c_1001_0^4 - 22570576809/148686145*c_1001_0^3 - 21235566874/148686145*c_1001_0^2 - 10316631076/148686145*c_1001_0 - 381885095/29737229, c_1001_0^9 + 14*c_1001_0^8 + 103*c_1001_0^7 + 482*c_1001_0^6 + 1527*c_1001_0^5 + 3156*c_1001_0^4 + 4136*c_1001_0^3 + 3309*c_1001_0^2 + 1470*c_1001_0 + 275 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB