Magma V2.19-8 Wed Aug 21 2013 01:00:29 on localhost [Seed = 4290372854] Type ? for help. Type -D to quit. Loading file "L13n9484__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9484 geometric_solution 12.29412373 oriented_manifold CS_known 0.0000000000000006 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 0 2 2 2 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 2 -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 0 0 0 0.513260274049 1.041914342871 0 5 7 6 0132 0132 0132 0132 1 2 2 2 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 -2 2 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 0.513260274049 1.041914342871 6 0 9 8 3012 0132 0132 0132 0 1 2 2 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 -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 0.451765359525 0.587708338166 7 10 11 0 0132 0132 0132 0132 0 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 1 1 -2 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 -0.051207837488 0.618684640432 6 8 0 5 0213 0132 0132 1230 0 2 2 2 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 0 0 0 0 -1 2 -1 -4 0 -1 5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368044866769 0.787836301542 4 1 10 11 3012 0132 1023 3012 1 0 2 2 0 0 0 0 -1 0 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 1 0 -1 0 -5 5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451765359525 0.587708338166 4 11 1 2 0213 3012 0132 1230 1 2 2 2 0 0 1 -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 1 -2 1 -1 0 1 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 0.368044866769 0.787836301542 3 9 8 1 0132 1023 1302 0132 1 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 -1 -1 2 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051207837488 0.618684640432 7 4 2 12 2031 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0.619611488535 0.563420361545 7 12 10 2 1023 0132 0132 0132 0 1 2 2 0 0 0 0 -1 0 0 1 0 -1 0 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 1 0 0 -1 0 -4 0 4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513260274049 1.041914342871 12 3 5 9 0132 0132 1023 0132 0 1 2 2 0 1 -1 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 -1 1 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 0.513260274049 1.041914342871 6 12 5 3 1230 0321 1230 0132 0 2 2 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 1 0 -1 0 0 0 0 0 5 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823106029946 1.219160629211 10 9 8 11 0132 0132 0132 0321 0 1 2 2 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 1 -1 0 0 1 -1 1 4 0 -5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.406989082822 1.311480535333 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0110_5'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], '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_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_4'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : 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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_5, c_1001_11, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8960/3069*c_1001_3^3 + 832/279*c_1001_3^2 - 35264/3069*c_1001_3 + 656/3069, c_0011_0 - 1, c_0011_10 - 4/57*c_1001_3^3 + 2/19*c_1001_3^2 - 2/3*c_1001_3 - 13/19, c_0011_11 - 2/3*c_1001_3^3 + 4/3*c_1001_3^2 - 8/3*c_1001_3 + 2, c_0011_4 + 16/57*c_1001_3^3 - 8/19*c_1001_3^2 + 2/3*c_1001_3 - 5/19, c_0011_6 - 8/19*c_1001_3^3 + 12/19*c_1001_3^2 - 2*c_1001_3 + 17/19, c_0101_11 + 1, c_0101_12 - 2/3*c_1001_3^2 + 5/3*c_1001_3 - 2, c_0101_5 - 1, c_0101_8 - 2/3*c_1001_3^3 + 2/3*c_1001_3^2 - 2*c_1001_3, c_0110_5 - 2/3*c_1001_3^3 + 4/3*c_1001_3^2 - 8/3*c_1001_3 + 1, c_1001_11 - c_1001_3 + 1/2, c_1001_12 - 2/3*c_1001_3^3 + 2/3*c_1001_3^2 - 2*c_1001_3 + 1, c_1001_3^4 - 2*c_1001_3^3 + 11/2*c_1001_3^2 - 9/2*c_1001_3 + 9/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB