Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 2547387228] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1635 geometric_solution 5.37967067 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417145251752 0.042895263276 2 0 2 0 0132 2310 2310 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.823329047951 0.669425503937 1 1 3 4 0132 3201 0132 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 1 -1 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 0.641914488933 2.018197668528 4 5 6 2 1302 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492702912537 0.663912500188 5 3 2 6 0132 2031 0132 2310 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 1 0 -1 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 0.492702912537 0.663912500188 4 3 5 5 0132 0132 1230 3012 0 0 0 0 0 -1 0 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 1 0 -1 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 0.279185096828 0.971291243386 4 6 6 3 3201 1230 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492702912537 0.663912500188 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : d['1'], 's_2_5' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 23/3*c_0101_5*c_0110_0^2 - 2/3*c_0101_5*c_0110_0 + 85/3*c_0101_5 - 67/6*c_0110_0^2 + 1/3*c_0110_0 + 233/6, c_0011_0 - 1, c_0011_1 - c_0110_0^2 + 1, c_0011_3 + 1/2*c_0101_5*c_0110_0^2 - 1/2*c_0101_5*c_0110_0 - c_0101_5, c_0011_6 + c_0110_0 + 1, c_0101_1 - c_0110_0 - 1, c_0101_5^2 + 1/2*c_0101_5 - c_0110_0^2 - 2*c_0110_0 - 1, c_0110_0^3 - 3*c_0110_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 460/17*c_0110_0^15 - 1943/17*c_0110_0^14 + 2245/17*c_0110_0^13 + 18503/17*c_0110_0^12 + 4649/17*c_0110_0^11 - 67689/17*c_0110_0^10 - 49921/17*c_0110_0^9 + 116907/17*c_0110_0^8 + 117574/17*c_0110_0^7 - 94459/17*c_0110_0^6 - 112547/17*c_0110_0^5 + 35184/17*c_0110_0^4 + 40361/17*c_0110_0^3 - 13699/17*c_0110_0^2 - 6010/17*c_0110_0 + 2551/17, c_0011_0 - 1, c_0011_1 - c_0110_0^2 + 1, c_0011_3 - c_0110_0^4 - c_0110_0^3 + 3*c_0110_0^2 + 2*c_0110_0 - 1, c_0011_6 + c_0110_0^4 - 3*c_0110_0^2 + 1, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_5 - c_0110_0^8 - 2*c_0110_0^7 + 5*c_0110_0^6 + 10*c_0110_0^5 - 7*c_0110_0^4 - 14*c_0110_0^3 + 2*c_0110_0^2 + 4*c_0110_0 - 1, c_0110_0^16 + 4*c_0110_0^15 - 6*c_0110_0^14 - 40*c_0110_0^13 - c_0110_0^12 + 156*c_0110_0^11 + 82*c_0110_0^10 - 296*c_0110_0^9 - 225*c_0110_0^8 + 281*c_0110_0^7 + 238*c_0110_0^6 - 137*c_0110_0^5 - 94*c_0110_0^4 + 51*c_0110_0^3 + 12*c_0110_0^2 - 10*c_0110_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB