Magma V2.19-8 Tue Aug 20 2013 23:58:09 on localhost [Seed = 2749745937] Type ? for help. Type -D to quit. Loading file "K13n1134__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1134 geometric_solution 11.56634535 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797956322924 0.940048022768 0 0 5 4 0132 1302 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 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475175333089 0.618279943721 6 0 7 3 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082624329811 1.545839125297 8 2 9 0 0132 2310 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083499716049 0.785629587251 7 10 1 8 2103 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 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 0.104320078374 0.643827915025 9 10 11 1 0132 0213 0132 0132 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 -1 0 1 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.453285634320 1.197482320829 2 12 9 11 0132 0132 3012 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 -1 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 0 0 0 0.591882294257 0.469075090833 11 12 4 2 0321 2031 2103 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238555548538 0.353090839827 3 4 11 12 0132 0321 0321 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.187468647396 0.911545103793 5 6 10 3 0132 1230 2031 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 1 0 -1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332656403286 0.512005496533 12 4 5 9 3012 0132 0213 1302 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 -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 0.310620264719 1.031216895255 7 6 8 5 0321 0321 0321 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 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 0.244711468803 0.922733007668 7 6 8 10 1302 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623080825275 0.356617681502 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0011_5'], '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' : 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_0110_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_0101_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : 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' : d['c_0110_10'], '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_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0110_10, c_1001_10, c_1001_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 36064/13889*c_1001_4*c_1001_8^5 + 458213/69445*c_1001_4*c_1001_8^4 + 884814/69445*c_1001_4*c_1001_8^3 + 1269847/138890*c_1001_4*c_1001_8^2 + 350947/69445*c_1001_4*c_1001_8 + 70181/27778*c_1001_4 + 66656/347225*c_1001_8^5 - 2548687/694450*c_1001_8^4 - 8347963/694450*c_1001_8^3 - 17318891/694450*c_1001_8^2 - 15424289/694450*c_1001_8 - 5941481/694450, c_0011_0 - 1, c_0011_10 - 2/5*c_1001_4*c_1001_8^5 - 3/5*c_1001_4*c_1001_8^4 - 2/5*c_1001_4*c_1001_8^3 + 1/5*c_1001_4*c_1001_8^2 - 1/5*c_1001_4*c_1001_8 - 9/5*c_1001_4 + 2/5*c_1001_8^5 - 2/5*c_1001_8^4 - 3/5*c_1001_8^3 - 16/5*c_1001_8^2 + 1/5*c_1001_8 - 1/5, c_0011_11 - 2/5*c_1001_8^5 - 3/5*c_1001_8^4 - 7/5*c_1001_8^3 + 1/5*c_1001_8^2 - 1/5*c_1001_8 + 1/5, c_0011_3 - 2/5*c_1001_8^5 - 3/5*c_1001_8^4 - 7/5*c_1001_8^3 + 1/5*c_1001_8^2 - 1/5*c_1001_8 + 1/5, c_0011_5 + 4/5*c_1001_4*c_1001_8^5 + 6/5*c_1001_4*c_1001_8^4 + 9/5*c_1001_4*c_1001_8^3 - 7/5*c_1001_4*c_1001_8^2 - 3/5*c_1001_4*c_1001_8 + 3/5*c_1001_4 + 1/5*c_1001_8^5 - 1/5*c_1001_8^4 - 4/5*c_1001_8^3 - 8/5*c_1001_8^2 - 2/5*c_1001_8 + 7/5, c_0011_7 + 2/5*c_1001_4*c_1001_8^5 + 3/5*c_1001_4*c_1001_8^4 + 7/5*c_1001_4*c_1001_8^3 - 1/5*c_1001_4*c_1001_8^2 + 1/5*c_1001_4*c_1001_8 - 1/5*c_1001_4 + 3/5*c_1001_8^5 + 2/5*c_1001_8^4 + 3/5*c_1001_8^3 - 9/5*c_1001_8^2 - 1/5*c_1001_8 + 1/5, c_0101_0 - c_1001_4 + 3/5*c_1001_8^5 + 2/5*c_1001_8^4 + 3/5*c_1001_8^3 - 9/5*c_1001_8^2 - 1/5*c_1001_8 + 1/5, c_0101_1 + 4/5*c_1001_8^5 + 6/5*c_1001_8^4 + 9/5*c_1001_8^3 - 2/5*c_1001_8^2 - 3/5*c_1001_8 + 3/5, c_0101_6 - 6/5*c_1001_8^5 - 9/5*c_1001_8^4 - 16/5*c_1001_8^3 + 3/5*c_1001_8^2 - 3/5*c_1001_8 - 7/5, c_0110_10 - 3/5*c_1001_4*c_1001_8^5 - 2/5*c_1001_4*c_1001_8^4 - 3/5*c_1001_4*c_1001_8^3 + 9/5*c_1001_4*c_1001_8^2 + 1/5*c_1001_4*c_1001_8 - 1/5*c_1001_4 - 1, c_1001_10 - 4/5*c_1001_4*c_1001_8^5 - 6/5*c_1001_4*c_1001_8^4 - 9/5*c_1001_4*c_1001_8^3 + 7/5*c_1001_4*c_1001_8^2 + 3/5*c_1001_4*c_1001_8 - 3/5*c_1001_4 + 1/5*c_1001_8^5 + 4/5*c_1001_8^4 + 6/5*c_1001_8^3 + 2/5*c_1001_8^2 - 2/5*c_1001_8 - 3/5, c_1001_4^2 + 2/5*c_1001_4*c_1001_8^5 + 8/5*c_1001_4*c_1001_8^4 + 12/5*c_1001_4*c_1001_8^3 + 14/5*c_1001_4*c_1001_8^2 - 4/5*c_1001_4*c_1001_8 - 6/5*c_1001_4 + c_1001_8^5 + c_1001_8^4 + c_1001_8^3 - 3*c_1001_8^2 - 2*c_1001_8 + 1, c_1001_8^6 + 2*c_1001_8^5 + 3*c_1001_8^4 - c_1001_8^2 + c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.530 Total time: 5.740 seconds, Total memory usage: 142.22MB