Magma V2.19-8 Tue Aug 20 2013 17:55:31 on localhost [Seed = 2084424619] Type ? for help. Type -D to quit. Loading file "11_147__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_147 nongeometric_solution 7.34941600 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 2 0132 0132 0132 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 -1 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 0 0 0 0.123236015930 0.680043247276 0 4 5 4 0132 0132 0132 3012 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 0 0 0 0 0 0 0 12 -12 0 1 0 11 -12 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123236015930 0.680043247276 6 0 0 3 0132 0132 1230 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 -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 0.779323459990 0.547001919257 2 7 6 0 3012 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978533441110 1.032160139481 8 1 1 5 0132 0132 1230 1230 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 -12 12 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 0.779323459990 0.547001919257 4 7 8 1 3012 1023 1230 0132 0 0 0 0 0 1 0 -1 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 -11 -1 12 0 0 11 -11 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978533441110 1.032160139481 2 7 8 3 0132 3201 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403357877708 1.040726875740 5 3 6 8 1023 0132 2310 3201 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 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.839049968054 -0.232861628999 4 7 6 5 0132 2310 0321 3012 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 -1 0 0 1 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403357877708 1.040726875740 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_8' : negation(d['c_1001_3']), 's_2_8' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : negation(d['c_0101_7']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_0'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0101_5']), '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_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0101_5, c_0101_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 272/15375*c_1001_3^3 + 64/5125*c_1001_3^2 - 104/5125*c_1001_3 - 4832/15375, c_0011_0 - 1, c_0011_3 - 9/25*c_1001_3^3 - 24/25*c_1001_3^2 - 147/50*c_1001_3 + 129/25, c_0101_0 + 1/5*c_1001_3^3 + 3/5*c_1001_3^2 + 13/10*c_1001_3 - 21/10, c_0101_2 + 2/25*c_1001_3^3 + 2/25*c_1001_3^2 + 8/25*c_1001_3 - 17/25, c_0101_3 - 1/25*c_1001_3^3 - 1/25*c_1001_3^2 + 17/50*c_1001_3 + 17/50, c_0101_4 - 4/25*c_1001_3^3 - 14/25*c_1001_3^2 - 41/25*c_1001_3 + 19/25, c_0101_5 - 7/25*c_1001_3^3 - 17/25*c_1001_3^2 - 81/50*c_1001_3 + 189/50, c_0101_7 + 18/25*c_1001_3^3 + 48/25*c_1001_3^2 + 122/25*c_1001_3 - 208/25, c_1001_3^4 + 2*c_1001_3^3 + 5*c_1001_3^2 - 17*c_1001_3 + 41/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB