Magma V2.19-8 Wed Aug 21 2013 01:07:41 on localhost [Seed = 1031480352] Type ? for help. Type -D to quit. Loading file "L14n33725__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33725 geometric_solution 12.03861075 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 1 0 -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 5 -1 -4 1 0 0 -1 4 -4 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004405642055 1.170929018710 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 0 0 0 -1 0 0 1 5 -5 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143025086922 0.985257088508 5 0 8 7 0132 0132 0132 0321 1 0 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609015611028 0.918242035713 4 8 9 0 0132 2031 0132 0132 1 0 1 0 0 1 -1 0 0 0 -1 1 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 4 -5 1 0 0 0 0 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104805486194 0.910304843856 3 10 0 6 0132 0132 0132 0213 1 0 0 1 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 -4 4 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071301925017 0.743927607682 2 1 11 12 0132 0132 0132 0132 1 0 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 1 -1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.335280353809 0.702618118769 7 9 1 4 0132 0213 0132 0213 1 0 0 1 0 0 0 0 0 0 0 0 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 0 -1 1 -1 0 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347150959329 0.825178701125 6 2 10 1 0132 0321 0321 0132 1 0 1 0 0 0 0 0 0 0 0 0 1 0 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 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426017409842 1.156738013283 3 12 11 2 1302 2103 2310 0132 1 0 1 1 0 0 1 -1 0 0 0 0 -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 5 -5 0 0 0 0 -4 0 0 4 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929851236183 0.743340747064 11 12 6 3 0132 3012 0213 0132 1 0 0 1 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 -5 0 5 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832763058080 1.014100928286 11 4 7 12 2103 0132 0321 2103 1 0 1 0 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 4 0 -4 -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 0.457279242002 0.533621263453 9 8 10 5 0132 3201 2103 0132 1 0 1 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101171315646 0.746076351812 9 8 5 10 1230 2103 0132 2103 1 0 1 1 0 0 0 0 0 0 0 0 -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 -1 0 1 0 -4 0 0 4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377512315091 1.529319104149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0011_8'], 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_2']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : 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' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_0011_8'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_12']), '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_10']), '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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_0'], 'c_1100_8' : d['c_0011_11']})} 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_6, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0110_10, c_1001_10, c_1001_2, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 11010119/4576*c_1010_6^6 + 1559943/416*c_1010_6^5 + 1430725/4576*c_1010_6^4 - 405785/2288*c_1010_6^3 + 11245777/2288*c_1010_6^2 - 67623895/4576*c_1010_6 - 39329963/4576, c_0011_0 - 1, c_0011_10 - 33*c_1010_6^6 + 51*c_1010_6^5 + 5*c_1010_6^4 - 2*c_1010_6^3 + 66*c_1010_6^2 - 200*c_1010_6 - 123, c_0011_11 + 9*c_1010_6^6 - 14*c_1010_6^5 - c_1010_6^4 - 18*c_1010_6^2 + 54*c_1010_6 + 33, c_0011_12 + 5*c_1010_6^6 - 8*c_1010_6^5 - c_1010_6^3 - 9*c_1010_6^2 + 29*c_1010_6 + 18, c_0011_6 - 24*c_1010_6^6 + 37*c_1010_6^5 + 4*c_1010_6^4 - 2*c_1010_6^3 + 48*c_1010_6^2 - 146*c_1010_6 - 90, c_0011_8 + 3*c_1010_6^6 - 4*c_1010_6^5 - 2*c_1010_6^4 + 2*c_1010_6^3 - 8*c_1010_6^2 + 20*c_1010_6 + 13, c_0101_0 - 1, c_0101_10 - 28*c_1010_6^6 + 43*c_1010_6^5 + 5*c_1010_6^4 - 3*c_1010_6^3 + 58*c_1010_6^2 - 171*c_1010_6 - 105, c_0101_12 + 23*c_1010_6^6 - 35*c_1010_6^5 - 5*c_1010_6^4 + 3*c_1010_6^3 - 48*c_1010_6^2 + 140*c_1010_6 + 87, c_0110_10 + 18*c_1010_6^6 - 28*c_1010_6^5 - 2*c_1010_6^4 - 35*c_1010_6^2 + 108*c_1010_6 + 66, c_1001_10 - 8*c_1010_6^6 + 12*c_1010_6^5 + 2*c_1010_6^4 - c_1010_6^3 + 17*c_1010_6^2 - 49*c_1010_6 - 31, c_1001_2 + 3*c_1010_6^6 - 4*c_1010_6^5 - 2*c_1010_6^4 + 2*c_1010_6^3 - 8*c_1010_6^2 + 19*c_1010_6 + 13, c_1010_6^7 - c_1010_6^6 - c_1010_6^5 - 2*c_1010_6^3 + 5*c_1010_6^2 + 7*c_1010_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB