Magma V2.19-8 Tue Aug 20 2013 23:48:34 on localhost [Seed = 1595487737] Type ? for help. Type -D to quit. Loading file "L11n4__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n4 geometric_solution 11.76223429 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 1 -1 1 0 -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 0 0.447774647276 0.742843724629 0 5 7 6 0132 0132 0132 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 -1 0 1 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 0.612112261377 0.673487715470 8 0 5 9 0132 0132 0132 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 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 0.853064216988 0.887220247347 5 10 11 0 0132 0132 0132 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 1 0 -1 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 0.853064216988 0.887220247347 6 7 0 5 0132 0132 0132 0132 1 1 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 -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 0.612112261377 0.673487715470 3 1 4 2 0132 0132 0132 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 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 0.447774647276 0.742843724629 4 7 1 7 0132 0213 0132 3120 1 1 1 1 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 1 0 -1 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 0.648285821434 0.512943993795 6 4 6 1 3120 0132 0213 0132 1 1 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 0 0 0 1 -1 0 0 0 1 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648285821434 0.512943993795 2 10 11 11 0132 1023 3012 3120 0 1 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 -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 0.616731939820 0.764048747547 10 10 2 11 3012 0213 0132 0132 1 1 0 1 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 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616731939820 0.764048747547 8 3 9 9 1023 0132 0213 1230 1 0 1 1 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 -1 0 1 1 0 -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 0.616731939820 0.764048747547 8 8 9 3 3120 1230 0132 0132 1 1 1 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 -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 0.616731939820 0.764048747547 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0101_8'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_0_9' : negation(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' : negation(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' : negation(d['c_0101_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_11'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_0']})} 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_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 4088/125*c_1001_5^5 - 11143/250*c_1001_5^4 - 2637/125*c_1001_5^3 + 4662/125*c_1001_5^2 + 83/250*c_1001_5 - 2859/250, c_0011_0 - 1, c_0011_11 + 1, c_0011_4 + 56/5*c_1001_5^5 - 78/5*c_1001_5^4 - 4/5*c_1001_5^3 + 49/5*c_1001_5^2 - 7/5*c_1001_5 - 9/5, c_0101_0 - 49/5*c_1001_5^5 + 42/5*c_1001_5^4 + 16/5*c_1001_5^3 - 31/5*c_1001_5^2 - 2/5*c_1001_5 + 1/5, c_0101_1 + c_1001_5, c_0101_11 - 1, c_0101_2 + 98/5*c_1001_5^5 - 154/5*c_1001_5^4 + 48/5*c_1001_5^3 + 52/5*c_1001_5^2 - 16/5*c_1001_5 - 7/5, c_0101_8 + 98/5*c_1001_5^5 - 154/5*c_1001_5^4 + 48/5*c_1001_5^3 + 52/5*c_1001_5^2 - 16/5*c_1001_5 - 12/5, c_1001_0 - 98/5*c_1001_5^5 + 154/5*c_1001_5^4 - 48/5*c_1001_5^3 - 52/5*c_1001_5^2 + 16/5*c_1001_5 + 7/5, c_1001_1 + 49/5*c_1001_5^5 - 42/5*c_1001_5^4 - 16/5*c_1001_5^3 + 31/5*c_1001_5^2 + 2/5*c_1001_5 - 1/5, c_1001_5^6 - 15/7*c_1001_5^5 + 9/7*c_1001_5^4 + 4/7*c_1001_5^3 - 5/7*c_1001_5^2 + 1/7, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 3352989/932864*c_1001_5^6 + 782219/932864*c_1001_5^5 - 756359/932864*c_1001_5^4 + 654971/116608*c_1001_5^3 - 9524041/932864*c_1001_5^2 + 4537551/233216*c_1001_5 - 10404503/932864, c_0011_0 - 1, c_0011_11 + 1, c_0011_4 + 600/911*c_1001_5^6 + 704/911*c_1001_5^5 + 610/911*c_1001_5^4 - 1052/911*c_1001_5^3 + 407/911*c_1001_5^2 - 931/911*c_1001_5 + 1/911, c_0101_0 - 90/911*c_1001_5^6 + 441/911*c_1001_5^5 + 364/911*c_1001_5^4 + 340/911*c_1001_5^3 - 471/911*c_1001_5^2 + 914/911*c_1001_5 - 319/911, c_0101_1 + c_1001_5, c_0101_11 + 1, c_0101_2 + 1365/911*c_1001_5^6 + 1055/911*c_1001_5^5 + 249/911*c_1001_5^4 - 2120/911*c_1001_5^3 + 2133/911*c_1001_5^2 - 1412/911*c_1001_5 - 476/911, c_0101_8 + 1365/911*c_1001_5^6 + 1055/911*c_1001_5^5 + 249/911*c_1001_5^4 - 2120/911*c_1001_5^3 + 2133/911*c_1001_5^2 - 1412/911*c_1001_5 + 435/911, c_1001_0 - 1365/911*c_1001_5^6 - 1055/911*c_1001_5^5 - 249/911*c_1001_5^4 + 2120/911*c_1001_5^3 - 2133/911*c_1001_5^2 + 1412/911*c_1001_5 + 476/911, c_1001_1 + 90/911*c_1001_5^6 - 441/911*c_1001_5^5 - 364/911*c_1001_5^4 - 340/911*c_1001_5^3 + 471/911*c_1001_5^2 - 914/911*c_1001_5 + 319/911, c_1001_5^7 + 1/3*c_1001_5^6 - 1/3*c_1001_5^5 - 2*c_1001_5^4 + 7/3*c_1001_5^3 - 2*c_1001_5^2 + 1/3*c_1001_5 + 2/3, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB