Magma V2.19-8 Tue Aug 20 2013 17:54:59 on localhost [Seed = 1730597076] Type ? for help. Type -D to quit. Loading file "7_7__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 7_7 geometric_solution 7.64337517 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.043315430435 1.227185638225 0 4 4 2 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547423794586 1.120873489937 0 0 5 1 3012 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.395123382260 0.506843901806 6 6 4 0 0132 1230 0321 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 0.648192048176 0.720341736419 1 1 3 7 2031 0132 0321 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 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648192048176 0.720341736419 7 7 6 2 1023 0321 1230 0132 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 0 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395123382260 0.506843901806 3 7 3 5 0132 3012 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.309732818299 0.767100216145 6 5 4 5 1230 1023 0132 0321 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 1 -1 -1 -1 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.043315430435 1.227185638225 ==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' : d['1'], 's_3_4' : d['1'], 's_3_7' : 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_2_7' : d['1'], 's_1_7' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_1001_3']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : d['c_1001_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_3'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_3'], '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' : d['c_1001_3'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/8*c_1001_3^3 - 4*c_1001_3^2 - 3/8*c_1001_3 + 39/8, c_0011_0 - 1, c_0011_3 - 1, c_0101_0 - c_1001_3^2 - c_1001_3 + 1, c_0101_2 - c_1001_3^3 - 2*c_1001_3^2 + 1, c_0101_3 - c_1001_3^3 - 2*c_1001_3^2 - c_1001_3, c_0101_5 + c_1001_3^2 + c_1001_3 - 1, c_0110_2 + c_1001_3, c_1001_3^4 + 3*c_1001_3^3 + c_1001_3^2 - 2*c_1001_3 + 1 ], Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - c_1001_3^4 + 3*c_1001_3^3 - 7*c_1001_3^2 + 11*c_1001_3 - 7, c_0011_0 - 1, c_0011_3 - 12/11*c_1001_3^5 + 41/11*c_1001_3^4 - 97/11*c_1001_3^3 + 164/11*c_1001_3^2 - 135/11*c_1001_3 + 30/11, c_0101_0 + 17/11*c_1001_3^5 - 59/11*c_1001_3^4 + 142/11*c_1001_3^3 - 236/11*c_1001_3^2 + 194/11*c_1001_3 - 37/11, c_0101_2 + 13/11*c_1001_3^5 - 49/11*c_1001_3^4 + 117/11*c_1001_3^3 - 207/11*c_1001_3^2 + 182/11*c_1001_3 - 38/11, c_0101_3 - 12/11*c_1001_3^5 + 41/11*c_1001_3^4 - 97/11*c_1001_3^3 + 164/11*c_1001_3^2 - 135/11*c_1001_3 + 19/11, c_0101_5 + 8/11*c_1001_3^5 - 31/11*c_1001_3^4 + 72/11*c_1001_3^3 - 124/11*c_1001_3^2 + 101/11*c_1001_3 - 20/11, c_0110_2 + c_1001_3^5 - 3*c_1001_3^4 + 7*c_1001_3^3 - 11*c_1001_3^2 + 7*c_1001_3, c_1001_3^6 - 4*c_1001_3^5 + 10*c_1001_3^4 - 18*c_1001_3^3 + 18*c_1001_3^2 - 7*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB