Magma V2.19-8 Tue Aug 20 2013 23:45:03 on localhost [Seed = 2598174526] Type ? for help. Type -D to quit. Loading file "K13n2181__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2181 geometric_solution 10.94139809 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.061150695518 0.718680292066 0 2 6 5 0132 0321 0132 0132 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 -1 0 1 7 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537975320218 0.729805764813 7 0 8 1 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.965653240446 0.859905471242 4 9 10 0 0213 0132 0132 0132 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 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457612473227 0.823229504285 3 8 0 5 0213 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544065704278 0.553989317030 4 9 1 11 3201 0213 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 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 0.179194496337 0.978875448330 9 8 10 1 0321 1023 3120 0132 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 -1 0 1 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429626113355 0.619421175678 2 10 11 8 0132 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792692801512 0.699104728190 6 4 7 2 1023 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 -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 1.554852532369 0.647417881287 6 3 5 11 0321 0132 0213 3120 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 0 1 -1 6 0 0 -6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484157114561 0.927984064494 11 7 6 3 3120 0132 3120 0132 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 1 0 -1 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817012659393 0.501139904099 9 7 5 10 3120 1230 0132 3120 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 1 0 0 -1 6 1 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.157371143351 0.768443017307 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_10' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_2'], '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'], '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_3']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0011_4'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 8036507/18969467*c_0101_8*c_1001_2^4 + 649907/998393*c_0101_8*c_1001_2^3 + 2231813/2231702*c_0101_8*c_1001_2^2 + 14057161/37938934*c_0101_8*c_1001_2 + 11755804/18969467*c_0101_8 - 9028025/18969467*c_1001_2^4 - 617358/998393*c_1001_2^3 - 975530/1115851*c_1001_2^2 - 3820583/37938934*c_1001_2 - 22158773/37938934, c_0011_0 - 1, c_0011_11 + c_0101_8*c_1001_2^4 + 2*c_0101_8*c_1001_2^3 + 3*c_0101_8*c_1001_2^2 + c_0101_8*c_1001_2 + 2*c_0101_8 - 2*c_1001_2^4 - 3*c_1001_2^3 - 4*c_1001_2^2 - 2*c_1001_2 - 3, c_0011_3 - c_0101_8*c_1001_2^4 - 2*c_0101_8*c_1001_2^3 - 3*c_0101_8*c_1001_2^2 - c_0101_8*c_1001_2 - 2*c_0101_8 + 2*c_1001_2^4 + 3*c_1001_2^3 + 4*c_1001_2^2 + 3, c_0011_4 + c_0101_8*c_1001_2^4 + 2*c_0101_8*c_1001_2^3 + 3*c_0101_8*c_1001_2^2 + c_0101_8*c_1001_2 + 2*c_0101_8 - 2*c_1001_2^4 - 3*c_1001_2^3 - 4*c_1001_2^2 - c_1001_2 - 3, c_0011_5 + c_1001_2^4 + 2*c_1001_2^3 + 2*c_1001_2^2 + c_1001_2 + 1, c_0101_0 - c_0101_8*c_1001_2^4 - c_0101_8*c_1001_2^3 - 2*c_0101_8*c_1001_2^2 - c_0101_8 - c_1001_2^3 - c_1001_2 + 1, c_0101_10 - c_0101_8 + c_1001_2^3 + 2*c_1001_2^2 + 2*c_1001_2 + 1, c_0101_11 - c_0101_8*c_1001_2^4 - c_0101_8*c_1001_2^3 - 2*c_0101_8*c_1001_2^2 - c_0101_8 + 2*c_1001_2^4 + 3*c_1001_2^3 + 4*c_1001_2^2 + c_1001_2 + 3, c_0101_2 + c_1001_2^4 + 2*c_1001_2^3 + 3*c_1001_2^2 + c_1001_2 + 1, c_0101_8^2 - 2*c_0101_8*c_1001_2^4 - 4*c_0101_8*c_1001_2^3 - 6*c_0101_8*c_1001_2^2 - 4*c_0101_8*c_1001_2 - 4*c_0101_8 + 2*c_1001_2^4 + 3*c_1001_2^3 + 6*c_1001_2^2 + 5*c_1001_2 + 4, c_1001_0 - c_1001_2^3 - c_1001_2^2 - c_1001_2, c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + 2*c_1001_2^2 + 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.530 Total time: 0.750 seconds, Total memory usage: 32.09MB