Magma V2.19-8 Wed Aug 21 2013 01:11:32 on localhost [Seed = 2067621191] Type ? for help. Type -D to quit. Loading file "L14n57222__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57222 geometric_solution 12.22891805 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 2 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 -5 4 1 5 0 0 -5 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987558566709 1.076545382484 0 5 7 6 0132 0132 0132 0132 0 2 2 2 0 1 0 -1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329044965831 0.940761038421 8 0 7 6 0132 0132 1023 1023 2 0 2 2 0 -1 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 0 0 0 0 0 5 -5 0 -1 0 0 1 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329044965831 0.940761038421 9 4 5 0 0132 2031 2103 0132 2 2 2 2 0 -1 0 1 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 4 0 -4 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473056072951 1.065590094280 3 10 0 8 1302 0132 0132 0321 2 2 2 2 0 0 0 0 0 0 -1 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 -1 1 0 0 5 -5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473056072951 1.065590094280 3 1 7 8 2103 0132 0213 1302 0 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0.664522482916 0.470380519211 11 8 1 2 0132 1302 0132 1023 0 2 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331263796929 0.947104821383 12 5 2 1 0132 0213 1023 0132 0 2 2 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331263796929 0.947104821383 2 4 5 6 0132 0321 2031 2031 2 0 2 2 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 -1 0 1 1 0 0 -1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664522482916 0.470380519211 3 12 11 12 0132 0213 0132 0321 1 2 2 2 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 -2 1 1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654879449358 0.743619018970 11 4 11 12 2031 0132 3012 1023 2 1 2 2 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 0 -1 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654879449358 0.743619018970 6 10 10 9 0132 1230 1302 0132 1 2 2 2 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333005488150 0.757375735406 7 9 9 10 0132 0321 0213 1023 1 2 2 2 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 -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 0.333005488150 0.757375735406 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_8']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_7, c_0101_8, c_0110_10, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 245/3728*c_0110_5*c_1100_1^3 - 1135/2796*c_0110_5*c_1100_1^2 - 859/7456*c_0110_5*c_1100_1 + 5759/5592*c_0110_5 + 1287/3728*c_1100_1^3 - 245/466*c_1100_1^2 + 617/7456*c_1100_1 - 859/932, c_0011_0 - 1, c_0011_10 - 1/6*c_0110_5*c_1100_1^3 - 1/3*c_0110_5*c_1100_1^2 - 1/12*c_0110_5*c_1100_1 - 1/6*c_0110_5 + 1/6*c_1100_1^3 - 1/3*c_1100_1^2 - 5/12*c_1100_1 - 1/6, c_0011_11 - 1/3*c_0110_5*c_1100_1^2 - 1/6*c_0110_5 - 1/3*c_1100_1^2 - 1/6, c_0011_12 + 1/3*c_0110_5*c_1100_1^2 + 1/6*c_0110_5 + 1/3*c_1100_1^2 + 1/6, c_0011_3 + 1/6*c_0110_5*c_1100_1^3 - 1/3*c_0110_5*c_1100_1^2 + 1/12*c_0110_5*c_1100_1 - 1/6*c_0110_5 - 1/6*c_1100_1^3 - 1/3*c_1100_1^2 + 5/12*c_1100_1 - 1/6, c_0101_0 - 1/6*c_0110_5*c_1100_1^3 - 1/3*c_0110_5*c_1100_1^2 - 1/12*c_0110_5*c_1100_1 - 1/6*c_0110_5 - 1/6*c_1100_1^3 + 1/3*c_1100_1^2 + 5/12*c_1100_1 + 1/6, c_0101_10 - 1, c_0101_2 + 1/3*c_0110_5*c_1100_1^2 - 5/6*c_0110_5 + 1/3*c_1100_1^2 + 1/6, c_0101_7 - 1/6*c_0110_5*c_1100_1^3 + 1/3*c_0110_5*c_1100_1^2 - 1/12*c_0110_5*c_1100_1 + 1/6*c_0110_5 - 1/6*c_1100_1^3 - 1/3*c_1100_1^2 + 5/12*c_1100_1 - 1/6, c_0101_8 - 1, c_0110_10 + 1/12*c_0110_5*c_1100_1^3 + 1/3*c_0110_5*c_1100_1^2 - 17/24*c_0110_5*c_1100_1 + 7/6*c_0110_5 - 5/12*c_1100_1^3 + 1/3*c_1100_1^2 - 11/24*c_1100_1 + 1/6, c_0110_5^2 - 2/3*c_0110_5*c_1100_1^2 + 2/3*c_0110_5 + 1, c_1100_1^4 - 1/2*c_1100_1^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB