Magma V2.19-8 Wed Aug 21 2013 00:54:45 on localhost [Seed = 459080018] Type ? for help. Type -D to quit. Loading file "L12n624__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n624 geometric_solution 11.23289685 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 -1 0 1 0 -1 -2 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754764276132 0.618564634937 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 3 0 -3 1 0 0 -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 0.645867500282 1.367579267137 8 0 9 5 0132 0132 0132 3012 1 0 1 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 -1 0 1 1 0 0 -1 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365979576702 1.295737627557 10 11 6 0 0132 0132 3201 0132 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 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 0.008383189166 0.752645743851 10 6 0 12 3120 2310 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.378422957838 0.774606117314 8 1 2 9 2310 0132 1230 2310 0 1 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 0 0 0 0 0 -3 1 2 0 0 -1 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 1.196360647003 0.729491808669 3 12 1 4 2310 2310 0132 3201 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 0 3 -3 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 0.496660186685 1.566634837348 11 8 10 1 0213 2310 0213 0132 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 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 0.471232111848 0.447662682403 2 11 5 7 0132 0213 3201 3201 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 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 0.635322063641 0.722570641869 5 12 12 2 3201 1023 0213 0132 1 0 0 1 0 0 0 0 0 0 0 0 -1 0 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 -2 0 0 2 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574522350874 1.270275449952 3 7 11 4 0132 0213 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374231820457 1.244307543654 7 3 8 10 0213 0132 0213 3012 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 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 -0.652677523343 0.275361756536 9 9 4 6 1023 0213 0132 3201 1 1 0 1 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 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704414493872 0.653542914780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_12'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0110_12'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(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_0011_0'], 'c_0101_10' : d['c_0101_0'], '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_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_5']), 'c_1100_8' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0110_12']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_12'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : negation(d['c_1001_10']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_6']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_12'], '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_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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_12'])})} 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 683/475*c_1001_5^5 + 2293/475*c_1001_5^4 - 5611/475*c_1001_5^3 + 11509/475*c_1001_5^2 - 5954/475*c_1001_5 + 1658/475, c_0011_0 - 1, c_0011_10 - 14/19*c_1001_5^5 + 27/19*c_1001_5^4 - 106/19*c_1001_5^3 + 127/19*c_1001_5^2 - 111/19*c_1001_5 + 25/19, c_0011_12 + 14/19*c_1001_5^5 - 27/19*c_1001_5^4 + 106/19*c_1001_5^3 - 127/19*c_1001_5^2 + 111/19*c_1001_5 - 25/19, c_0011_4 + 3/19*c_1001_5^5 + 1/19*c_1001_5^4 + 20/19*c_1001_5^3 + 4/19*c_1001_5^2 + 17/19*c_1001_5 + 15/19, c_0011_6 - 14/19*c_1001_5^5 + 27/19*c_1001_5^4 - 106/19*c_1001_5^3 + 127/19*c_1001_5^2 - 130/19*c_1001_5 + 44/19, c_0101_0 - 1, c_0101_1 - 12/19*c_1001_5^5 + 15/19*c_1001_5^4 - 80/19*c_1001_5^3 + 60/19*c_1001_5^2 - 68/19*c_1001_5 - 3/19, c_0101_12 - 12/19*c_1001_5^5 + 15/19*c_1001_5^4 - 80/19*c_1001_5^3 + 60/19*c_1001_5^2 - 68/19*c_1001_5 - 3/19, c_0101_2 + 12/19*c_1001_5^5 - 15/19*c_1001_5^4 + 80/19*c_1001_5^3 - 60/19*c_1001_5^2 + 68/19*c_1001_5 + 3/19, c_0101_5 + 1/19*c_1001_5^5 - 6/19*c_1001_5^4 + 13/19*c_1001_5^3 - 24/19*c_1001_5^2 + 31/19*c_1001_5 + 5/19, c_0110_12 + 1/19*c_1001_5^5 - 6/19*c_1001_5^4 + 13/19*c_1001_5^3 - 43/19*c_1001_5^2 + 50/19*c_1001_5 - 33/19, c_1001_10 - 14/19*c_1001_5^5 + 27/19*c_1001_5^4 - 106/19*c_1001_5^3 + 127/19*c_1001_5^2 - 130/19*c_1001_5 + 44/19, c_1001_5^6 - 2*c_1001_5^5 + 8*c_1001_5^4 - 10*c_1001_5^3 + 11*c_1001_5^2 - 4*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB