Magma V2.19-8 Tue Aug 20 2013 23:39:11 on localhost [Seed = 4122186139] Type ? for help. Type -D to quit. Loading file "L11a318__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a318 geometric_solution 9.02008237 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 2031 0 0 1 0 0 -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 4 1 -5 0 0 0 0 -8 -1 0 9 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747372319700 1.129986162829 0 0 5 4 0132 1302 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 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 -1 1 -5 5 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592808962940 0.615650627375 5 0 5 3 0132 0132 3012 3012 0 0 0 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 -4 0 4 1 0 0 -1 0 5 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188431165740 0.842839587804 6 7 2 0 0132 0132 1230 0132 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 1 -1 -5 0 5 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 0.213221154325 0.501374834856 6 7 1 8 2103 2031 0132 0132 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 -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 0.766809575536 1.220753297460 2 2 7 1 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.592808962940 0.615650627375 3 9 4 9 0132 0132 2103 1302 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 0 0 5 0 -1 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279527298328 0.732837831816 4 3 9 5 1302 0132 1230 0132 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 0 0 0 0 0 0 0 1.726606864574 1.050410191361 8 9 4 8 3012 3012 0132 1230 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 0 0 0 0 0 0 0 0.745921560101 0.626635627345 8 6 6 7 1230 0132 2031 3012 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.555693012779 1.370509988220 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_3']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0011_8'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_8'], 's_3_1' : 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' : 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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0011_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 44017/205*c_0101_3*c_0101_8 - 301697/205*c_0101_3 + 26267/1230*c_0101_8 - 180037/1230, c_0011_0 - 1, c_0011_3 + 1/3*c_0101_3*c_0101_8 - 2/3*c_0101_3 + 2/3*c_0101_8 + 2/3, c_0011_4 - 2*c_0101_3 - 1/3*c_0101_8 + 2/3, c_0011_8 - c_0101_3 + 2/3*c_0101_8 + 2/3, c_0101_0 - 1, c_0101_1 - 2/3*c_0101_3*c_0101_8 + 13/3*c_0101_3 + 2/3*c_0101_8 - 10/3, c_0101_3^2 - 2/3*c_0101_3*c_0101_8 - 2/3*c_0101_3 - 8/3*c_0101_8 + 1/3, c_0101_5 - 2/3*c_0101_8 + 4/3, c_0101_8^2 - 7*c_0101_8 + 1, c_1001_3 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3627/1120*c_0101_8^7 + 8563/280*c_0101_8^6 + 1025/56*c_0101_8^5 - 2963/280*c_0101_8^4 - 2771/280*c_0101_8^3 + 7011/560*c_0101_8^2 + 7757/224*c_0101_8 + 8773/560, c_0011_0 - 1, c_0011_3 - 195/56*c_0101_8^7 + 149/28*c_0101_8^6 - 9/7*c_0101_8^5 - 29/28*c_0101_8^4 - 31/28*c_0101_8^3 - 31/28*c_0101_8^2 + 183/56*c_0101_8 - 3/4, c_0011_4 + 26/7*c_0101_8^7 - 38/7*c_0101_8^6 + 2*c_0101_8^5 + 15/7*c_0101_8^4 + 8/7*c_0101_8^3 - 1/7*c_0101_8^2 - 19/7*c_0101_8 + 13/7, c_0011_8 - 117/56*c_0101_8^7 + 53/28*c_0101_8^6 - 23/28*c_0101_8^5 - 15/14*c_0101_8^4 + 1/28*c_0101_8^3 - 5/7*c_0101_8^2 + 51/56*c_0101_8 - 3/4, c_0101_0 - 1, c_0101_1 - 65/56*c_0101_8^7 + 171/28*c_0101_8^6 - 81/28*c_0101_8^5 - 17/7*c_0101_8^4 + 11/28*c_0101_8^3 + 27/14*c_0101_8^2 + 155/56*c_0101_8 - 61/28, c_0101_3 + 117/56*c_0101_8^7 - 53/28*c_0101_8^6 + 23/28*c_0101_8^5 + 15/14*c_0101_8^4 - 1/28*c_0101_8^3 + 5/7*c_0101_8^2 - 51/56*c_0101_8 + 3/4, c_0101_5 + 39/28*c_0101_8^7 - 5/2*c_0101_8^6 + 10/7*c_0101_8^5 - 1/7*c_0101_8^4 - 3/14*c_0101_8^3 + 1/14*c_0101_8^2 - 33/28*c_0101_8 + 27/14, c_0101_8^8 - 6/13*c_0101_8^7 - 12/13*c_0101_8^6 + 8/13*c_0101_8^5 + 8/13*c_0101_8^4 + 6/13*c_0101_8^3 - 7/13*c_0101_8^2 - 4/13*c_0101_8 + 4/13, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB