Magma V2.19-8 Tue Aug 20 2013 23:42:36 on localhost [Seed = 340947317] Type ? for help. Type -D to quit. Loading file "L13n4479__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4479 geometric_solution 10.18067496 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 -3 0 3 0 0 -1 1 1 -1 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539378354242 0.762382680724 0 5 3 6 0132 0132 1302 0132 1 1 1 1 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 0 0 0 0 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709046885424 0.566881652755 7 0 8 6 0132 0132 0132 2031 0 1 1 1 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 3 0 -3 0 0 0 0 1 -8 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693916884878 0.570763303036 1 8 9 0 2031 0132 0132 0132 0 1 1 1 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 -1 1 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088975945997 1.157058999869 8 7 0 10 0213 0132 0132 0132 0 1 1 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 0 0 0 0 1 -3 2 1 0 -1 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 0.498364406739 1.147242803497 8 1 7 6 2031 0132 1023 1230 1 0 1 1 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 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539378354242 0.762382680724 5 2 1 10 3012 1302 0132 3201 1 1 0 1 0 0 0 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 -1 3 0 -2 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420068659087 0.533514148638 2 4 5 9 0132 0132 1023 0321 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 0 0 -1 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 0.498364406739 1.147242803497 4 3 5 2 0213 0132 1302 0132 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 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 0.140438146086 0.707010268225 10 7 10 3 0321 0321 0132 0132 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 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 0.341799645843 0.333107664082 9 6 4 9 0321 2310 0132 0132 0 1 1 1 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 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 -0.500518356273 1.462360100865 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0110_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : negation(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_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_0101_5'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_5'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_10' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_5, c_0101_7, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 80/9*c_1100_0^7 + 32/9*c_1100_0^6 + 26*c_1100_0^5 - 20/3*c_1100_0^4 - 233/18*c_1100_0^3 + 19/9*c_1100_0^2 - 131/9*c_1100_0 + 7/2, c_0011_0 - 1, c_0011_10 - 2/3*c_1100_0^7 + 4/3*c_1100_0^6 + 1/2*c_1100_0^5 - 11/3*c_1100_0^4 + 3/2*c_1100_0^3 + 13/6*c_1100_0^2 - 13/6*c_1100_0 + 7/6, c_0011_3 + 7/3*c_1100_0^7 + 2/3*c_1100_0^6 - 85/12*c_1100_0^5 - 7/6*c_1100_0^4 + 65/12*c_1100_0^3 - 3/4*c_1100_0^2 + 7/12*c_1100_0 + 7/12, c_0011_6 - 1, c_0011_9 - c_1100_0^7 + 2/3*c_1100_0^6 + 41/12*c_1100_0^5 - 7/6*c_1100_0^4 - 15/4*c_1100_0^3 + 5/12*c_1100_0^2 + 1/12*c_1100_0 - 1/4, c_0101_0 - 1/3*c_1100_0^7 + 2/3*c_1100_0^6 + 1/4*c_1100_0^5 - 23/6*c_1100_0^4 + 3/4*c_1100_0^3 + 55/12*c_1100_0^2 - 13/12*c_1100_0 + 7/12, c_0101_5 - 4/3*c_1100_0^6 + 11/3*c_1100_0^4 - 4/3*c_1100_0^3 - 7/3*c_1100_0^2 + 8/3*c_1100_0 - 1/3, c_0101_7 + 7/3*c_1100_0^7 + 2/3*c_1100_0^6 - 85/12*c_1100_0^5 - 7/6*c_1100_0^4 + 65/12*c_1100_0^3 - 3/4*c_1100_0^2 + 7/12*c_1100_0 + 7/12, c_0110_6 + c_1100_0, c_1001_2 - 4/3*c_1100_0^6 + 11/3*c_1100_0^4 - 4/3*c_1100_0^3 - 7/3*c_1100_0^2 + 8/3*c_1100_0 - 1/3, c_1100_0^8 - c_1100_0^7 - 11/4*c_1100_0^6 + 11/4*c_1100_0^5 + 5/4*c_1100_0^4 - 2*c_1100_0^3 + 3/2*c_1100_0^2 - 1/2*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB