Magma V2.19-8 Tue Aug 20 2013 23:44:11 on localhost [Seed = 2598174591] Type ? for help. Type -D to quit. Loading file "L14n24285__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24285 geometric_solution 9.99727328 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -8 -1 9 0 0 -1 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 0.273422619642 1.151148787373 0 3 6 5 0132 1230 0132 0132 0 0 1 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 2 0 -2 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 0.100127350303 0.499219049878 7 0 9 8 0132 0132 0132 0132 1 0 1 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 8 -8 0 0 0 -1 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 0.518641969937 1.064882496080 9 7 1 0 1302 2103 3012 0132 1 0 1 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -2 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392096358545 0.621215661090 9 7 0 8 0132 0213 0132 0213 1 0 0 1 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 9 -9 0 1 0 -1 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 0.279534353033 0.640161275666 10 8 1 10 0132 1023 0132 3012 0 0 0 1 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 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.084029747980 0.888197036463 7 8 10 1 3120 2103 3012 0132 0 0 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172499223456 0.739254987555 2 3 4 6 0132 2103 0213 3120 1 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 0 0 0 0 1 -9 8 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 0.518641969937 1.064882496080 5 6 2 4 1023 2103 0132 0213 1 0 0 1 0 0 0 0 -1 0 0 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 2 0 -1 -1 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219558567185 0.783502346823 4 3 10 2 0132 2031 2031 0132 1 0 1 0 0 0 1 -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 0 0 -8 8 -1 0 0 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775630666021 0.689177504432 5 6 5 9 0132 1230 1230 1302 0 0 1 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 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066608912844 0.596226487840 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_0101_0']), 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0101_10'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_10']), '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_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 168325/26624*c_1001_10^6 - 2717005/26624*c_1001_10^5 + 4298399/6656*c_1001_10^4 - 6740467/3328*c_1001_10^3 + 2762767/832*c_1001_10^2 - 72821439/26624*c_1001_10 + 1566609/1664, c_0011_0 - 1, c_0011_10 + 5/104*c_1001_10^6 - 77/104*c_1001_10^5 + 109/26*c_1001_10^4 - 134/13*c_1001_10^3 + 127/13*c_1001_10^2 - 231/104*c_1001_10 - 2/13, c_0011_3 + 137/832*c_1001_10^6 - 2089/832*c_1001_10^5 + 3049/208*c_1001_10^4 - 4267/104*c_1001_10^3 + 1505/26*c_1001_10^2 - 33099/832*c_1001_10 + 1175/104, c_0011_4 - 1/52*c_1001_10^6 + 5/52*c_1001_10^5 + 12/13*c_1001_10^4 - 105/13*c_1001_10^3 + 269/13*c_1001_10^2 - 1077/52*c_1001_10 + 97/13, c_0011_6 + 223/832*c_1001_10^6 - 3455/832*c_1001_10^5 + 5215/208*c_1001_10^4 - 7773/104*c_1001_10^3 + 3043/26*c_1001_10^2 - 76717/832*c_1001_10 + 3049/104, c_0101_0 - 1, c_0101_1 - 1/52*c_1001_10^6 + 5/52*c_1001_10^5 + 12/13*c_1001_10^4 - 105/13*c_1001_10^3 + 269/13*c_1001_10^2 - 1077/52*c_1001_10 + 97/13, c_0101_10 - 1/2*c_1001_10^6 + 15/2*c_1001_10^5 - 43*c_1001_10^4 + 118*c_1001_10^3 - 164*c_1001_10^2 + 227/2*c_1001_10 - 32, c_0101_6 + 5/104*c_1001_10^6 - 77/104*c_1001_10^5 + 109/26*c_1001_10^4 - 134/13*c_1001_10^3 + 127/13*c_1001_10^2 - 127/104*c_1001_10 - 28/13, c_1001_1 - 1, c_1001_10^7 - 17*c_1001_10^6 + 116*c_1001_10^5 - 408*c_1001_10^4 + 800*c_1001_10^3 - 883*c_1001_10^2 + 520*c_1001_10 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB