Magma V2.19-8 Tue Aug 20 2013 23:43:07 on localhost [Seed = 2067603019] Type ? for help. Type -D to quit. Loading file "L13n7333__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7333 geometric_solution 10.55686626 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 1 0 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 0 0 0 1 0 -1 3 0 -1 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618346794560 0.769773447560 0 5 7 6 0132 0132 0132 0132 2 1 1 0 0 0 0 0 1 0 0 -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 -3 0 1 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621908638627 0.489763526732 8 0 7 3 0132 0132 3012 3012 2 2 1 0 0 0 -1 1 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 -1 6 -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 0 0 0.659559221701 0.648538626504 9 10 2 0 0132 0132 1230 0132 2 1 1 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 -1 0 0 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 0.277602951664 0.943149790024 6 10 0 8 1302 0321 0132 1302 2 1 2 0 0 0 0 0 0 0 -1 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 1 -1 0 0 2 -2 -5 5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351053973004 1.247737958183 10 1 7 8 0213 0132 0321 1023 2 2 0 1 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 -1 0 1 0 0 -6 6 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960192079835 0.995560202298 9 4 1 8 2103 2031 0132 0321 2 1 0 1 0 -1 0 1 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 5 1 -6 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987644294659 1.279352564819 9 2 5 1 1302 1230 0321 0132 2 1 0 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791050359231 0.742661864515 2 6 4 5 0132 0321 2031 1023 2 2 0 1 0 -1 0 1 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 6 0 -6 0 0 1 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960192079835 0.995560202298 3 7 6 10 0132 2031 2103 1302 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 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 0.618346794560 0.769773447560 5 3 9 4 0213 0132 2031 0321 2 0 2 1 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 1 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229145334378 0.757974431451 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : negation(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_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_8' : negation(d['c_1001_3']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 'c_1100_10' : negation(d['c_0011_7']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_4, c_0011_6, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_8, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 769287/167*c_1001_3^4 - 7161375/668*c_1001_3^3 + 34564607/2672*c_1001_3^2 - 27741137/2672*c_1001_3 + 39055367/10688, c_0011_0 - 1, c_0011_10 - 352/167*c_1001_3^4 + 744/167*c_1001_3^3 - 922/167*c_1001_3^2 + 617/167*c_1001_3 - 67/167, c_0011_4 + 992/167*c_1001_3^4 - 1368/167*c_1001_3^3 + 1566/167*c_1001_3^2 - 752/167*c_1001_3 - 130/167, c_0011_6 - 2720/167*c_1001_3^4 + 3320/167*c_1001_3^3 - 3238/167*c_1001_3^2 + 1701/167*c_1001_3 + 545/167, c_0011_7 + 3072/167*c_1001_3^4 - 4064/167*c_1001_3^3 + 4160/167*c_1001_3^2 - 2318/167*c_1001_3 - 478/167, c_0101_0 - 1, c_0101_2 + 992/167*c_1001_3^4 - 1368/167*c_1001_3^3 + 1566/167*c_1001_3^2 - 752/167*c_1001_3 - 130/167, c_0101_3 + 1, c_0101_8 - 352/167*c_1001_3^4 + 744/167*c_1001_3^3 - 922/167*c_1001_3^2 + 617/167*c_1001_3 - 67/167, c_0110_4 - 1440/167*c_1001_3^4 + 2072/167*c_1001_3^3 - 1950/167*c_1001_3^2 + 1097/167*c_1001_3 + 151/167, c_1001_3^5 - 9/4*c_1001_3^4 + 41/16*c_1001_3^3 - 31/16*c_1001_3^2 + 33/64*c_1001_3 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB