Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 2581071011] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2380 geometric_solution 5.74753719 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160899688783 0.935212023531 0 4 2 4 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427647582753 0.588743437995 1 0 0 5 2310 0132 3120 0132 0 0 0 0 0 1 -1 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 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 -0.160899688783 0.935212023531 5 6 0 4 0321 0132 0132 0213 0 0 0 0 0 1 -1 0 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 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 1.752143334789 1.561985914490 1 1 5 3 3201 0132 2031 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.277769930815 1.663022079669 3 6 2 4 0321 3201 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.752143334789 1.561985914490 6 3 5 6 3201 0132 2310 2310 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 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 0.277293652065 0.588043931858 ==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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : 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' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1001_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], '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_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], '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' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_1001_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} 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_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1973189/432220*c_1001_6^7 - 5392827/432220*c_1001_6^6 - 5284173/432220*c_1001_6^5 + 25983811/432220*c_1001_6^4 - 21597132/108055*c_1001_6^3 + 100658873/432220*c_1001_6^2 - 16787107/86444*c_1001_6 + 10246671/108055, c_0011_0 - 1, c_0011_3 + 143/43222*c_1001_6^7 + 1802/21611*c_1001_6^6 - 3878/21611*c_1001_6^5 - 9382/21611*c_1001_6^4 + 32315/43222*c_1001_6^3 - 98349/43222*c_1001_6^2 + 27072/21611*c_1001_6 - 24849/43222, c_0101_0 + 2964/21611*c_1001_6^7 - 5849/21611*c_1001_6^6 - 13413/21611*c_1001_6^5 + 29541/21611*c_1001_6^4 - 98371/21611*c_1001_6^3 + 65619/21611*c_1001_6^2 - 58489/21611*c_1001_6 + 25223/21611, c_0101_1 + 4827/21611*c_1001_6^7 - 12697/21611*c_1001_6^6 - 14866/21611*c_1001_6^5 + 64667/21611*c_1001_6^4 - 203139/21611*c_1001_6^3 + 214284/21611*c_1001_6^2 - 155732/21611*c_1001_6 + 60566/21611, c_0101_2 - 2964/21611*c_1001_6^7 + 5849/21611*c_1001_6^6 + 13413/21611*c_1001_6^5 - 29541/21611*c_1001_6^4 + 98371/21611*c_1001_6^3 - 65619/21611*c_1001_6^2 + 58489/21611*c_1001_6 - 25223/21611, c_0101_6 - 987/21611*c_1001_6^7 + 2932/21611*c_1001_6^6 + 2301/21611*c_1001_6^5 - 15721/21611*c_1001_6^4 + 43847/21611*c_1001_6^3 - 43265/21611*c_1001_6^2 + 26323/21611*c_1001_6 + 1947/21611, c_1001_6^8 - 3*c_1001_6^7 - 2*c_1001_6^6 + 14*c_1001_6^5 - 47*c_1001_6^4 + 62*c_1001_6^3 - 55*c_1001_6^2 + 31*c_1001_6 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB