Magma V2.19-8 Wed Aug 21 2013 01:11:13 on localhost [Seed = 71441871] Type ? for help. Type -D to quit. Loading file "L14n56937__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56937 geometric_solution 11.78268230 oriented_manifold CS_known -0.0000000000000007 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 2 2 2 1 0 0 0 0 1 0 -1 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 -1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289120476042 0.688433146588 0 4 5 4 0132 0132 0132 1230 2 2 1 2 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 -1 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 0.397526761730 0.431700576509 0 0 6 4 2031 0132 0132 0132 2 2 1 2 0 0 -1 1 0 0 0 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 -1 0 1 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481426942377 1.234789340011 7 6 0 8 0132 1230 0132 0132 2 2 2 2 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 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 0.531006157508 0.878375844141 1 1 2 6 3012 0132 0132 2031 2 2 2 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 -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 1.096723170759 0.785854034689 9 6 8 1 0132 2031 1230 0132 2 2 2 2 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 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 1.012509879497 0.916618144032 5 4 3 2 1302 1302 3012 0132 2 2 2 2 0 0 -1 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 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 0.146953477928 0.555595654823 3 8 10 10 0132 3012 0132 2310 2 2 2 2 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019554196012 1.201066407609 7 11 3 5 1230 0132 0132 3012 2 2 2 2 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 1 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 0.985113406104 1.090763669707 5 10 10 12 0132 2103 0321 0132 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859451486106 0.490924378023 7 9 9 7 3201 2103 0321 0132 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.504305826853 0.987916335014 12 8 12 12 1230 0132 3201 0213 2 0 2 2 0 0 1 -1 1 0 -1 0 -1 0 0 1 1 -1 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 0.115268583789 0.898213478853 11 11 9 11 2310 3012 0132 0213 2 2 0 2 0 -1 0 1 0 0 1 -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 -1 0 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 0.556596884819 0.565078638637 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_0011_11'], 's_3_11' : 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' : d['c_0011_12'], 'c_0101_10' : negation(d['c_0101_1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : 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_0011_5']), 'c_1100_8' : d['c_0101_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_2']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : negation(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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_5']), 's_1_7' : d['1'], 's_1_6' : negation(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' : 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_5']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_12, c_0101_2, c_0101_4, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 65768799275/7614698*c_1001_2^5 - 1489111051359/76146980*c_1001_2^4 - 5787286018781/38073490*c_1001_2^3 - 7004455913599/76146980*c_1001_2^2 - 108653491873/15229396*c_1001_2 + 2487940101729/76146980, c_0011_0 - 1, c_0011_10 - 7/15*c_1001_2^5 - 11/10*c_1001_2^4 - 247/30*c_1001_2^3 - 83/15*c_1001_2^2 - 7/10*c_1001_2 + 13/15, c_0011_11 + 2/3*c_1001_2^5 + 8/5*c_1001_2^4 + 182/15*c_1001_2^3 + 134/15*c_1001_2^2 + 2*c_1001_2 - 19/15, c_0011_12 - 1, c_0011_3 + 7/30*c_1001_2^5 + 1/2*c_1001_2^4 + 119/30*c_1001_2^3 + 37/15*c_1001_2^2 - 2/5*c_1001_2 - 19/30, c_0011_5 + 1/3*c_1001_2^5 + 4/5*c_1001_2^4 + 91/15*c_1001_2^3 + 67/15*c_1001_2^2 + c_1001_2 - 17/15, c_0011_6 + 1/3*c_1001_2^5 + 3/5*c_1001_2^4 + 82/15*c_1001_2^3 + 19/15*c_1001_2^2 - c_1001_2 - 14/15, c_0101_1 - 1, c_0101_12 - 1/3*c_1001_2^5 - 4/5*c_1001_2^4 - 91/15*c_1001_2^3 - 67/15*c_1001_2^2 - c_1001_2 + 2/15, c_0101_2 - 1/10*c_1001_2^5 - 1/10*c_1001_2^4 - 3/2*c_1001_2^3 + 6/5*c_1001_2^2 + 8/5*c_1001_2 + 3/10, c_0101_4 - 1/10*c_1001_2^5 - 1/10*c_1001_2^4 - 3/2*c_1001_2^3 + 6/5*c_1001_2^2 + 3/5*c_1001_2 + 3/10, c_0101_7 - 7/15*c_1001_2^5 - 6/5*c_1001_2^4 - 128/15*c_1001_2^3 - 107/15*c_1001_2^2 - 11/5*c_1001_2 + 22/15, c_1001_2^6 + 2*c_1001_2^5 + 17*c_1001_2^4 + 6*c_1001_2^3 - 2*c_1001_2^2 - 4*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB