Magma V2.19-8 Wed Aug 21 2013 00:01:44 on localhost [Seed = 3785853023] Type ? for help. Type -D to quit. Loading file "L14n56958__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56958 geometric_solution 10.79972566 oriented_manifold CS_known -0.0000000000000005 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 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 1 3 -4 0 0 0 0 0 -1 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.599423600543 1.179036311159 0 3 5 2 0132 1023 0132 1023 2 2 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 0 0 0 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342638340951 0.673952519072 3 0 6 1 1023 0132 0132 1023 2 2 0 1 0 0 0 0 -1 0 1 0 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 -1 1 0 -3 0 3 0 0 2 0 -2 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342638340951 0.673952519072 1 2 7 0 1023 1023 0132 0132 2 2 0 1 0 1 0 -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 3 0 -3 0 0 0 0 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.599423600543 1.179036311159 6 7 0 7 1023 1023 0132 0132 2 2 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 0 4 -4 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 0.342638340951 0.673952519072 8 7 9 1 0132 0132 0132 0132 2 2 1 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 4 -4 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550537194852 0.929144351398 10 4 9 2 0132 1023 1023 0132 2 2 1 1 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 1 -1 -1 0 4 -3 -4 0 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550537194852 0.929144351398 4 5 4 3 1023 0132 0132 0132 2 2 1 1 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 -4 4 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342638340951 0.673952519072 5 11 9 10 0132 0132 2103 2103 1 2 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 0 0 0 0 0 -1 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991819424925 0.727586883796 8 10 6 5 2103 1230 1023 0132 2 2 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 0 -4 4 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 -0.638440842374 1.357191211383 6 11 9 8 0132 1023 3012 2103 1 2 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 1 0 0 -1 -1 1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991819424925 0.727586883796 10 8 11 11 1023 0132 1230 3012 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 0 -1 1 0 0 -1 1 -1 0 0 1 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728884292645 0.671800893023 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0110_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0110_11'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0110_11']), 's_3_1' : d['1'], 's_3_0' : 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' : 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' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], '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_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], '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_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10']})} 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_10, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_0110_11, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 137376491/1600*c_1100_1^9 - 793886539/2200*c_1100_1^8 - 3354185691/4400*c_1100_1^7 - 13587449319/8800*c_1100_1^6 - 9646809769/3520*c_1100_1^5 - 6263871831/1760*c_1100_1^4 - 65154787239/17600*c_1100_1^3 - 21629960783/8800*c_1100_1^2 - 37675021/176*c_1100_1 + 955341907/2200, c_0011_0 - 1, c_0011_10 + 11/64*c_1100_1^9 + 5/8*c_1100_1^8 + 21/16*c_1100_1^7 + 85/32*c_1100_1^6 + 295/64*c_1100_1^5 + 185/32*c_1100_1^4 + 389/64*c_1100_1^3 + 109/32*c_1100_1^2 - 5/16*c_1100_1 - 5/8, c_0011_9 + 3333/32*c_1100_1^9 + 7479/16*c_1100_1^8 + 2035/2*c_1100_1^7 + 32555/16*c_1100_1^6 + 117789/32*c_1100_1^5 + 38997/8*c_1100_1^4 + 163395/32*c_1100_1^3 + 3583*c_1100_1^2 + 3541/8*c_1100_1 - 662, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1, c_0101_3 - c_1100_1 - 1, c_0101_5 - 341/32*c_1100_1^9 - 199/4*c_1100_1^8 - 883/8*c_1100_1^7 - 3515/16*c_1100_1^6 - 12825/32*c_1100_1^5 - 8615/16*c_1100_1^4 - 18139/32*c_1100_1^3 - 6563/16*c_1100_1^2 - 501/8*c_1100_1 + 311/4, c_0101_7 - c_1100_1 - 1, c_0110_11 + 24431/64*c_1100_1^9 + 6933/4*c_1100_1^8 + 60209/16*c_1100_1^7 + 240721/32*c_1100_1^6 + 873355/64*c_1100_1^5 + 577113/32*c_1100_1^4 + 1211153/64*c_1100_1^3 + 424885/32*c_1100_1^2 + 25371/16*c_1100_1 - 19449/8, c_1100_0 - c_1100_1 - 2, c_1100_1^10 + 62/11*c_1100_1^9 + 164/11*c_1100_1^8 + 338/11*c_1100_1^7 + 635/11*c_1100_1^6 + 960/11*c_1100_1^5 + 1129/11*c_1100_1^4 + 996/11*c_1100_1^3 + 480/11*c_1100_1^2 - 16/11*c_1100_1 - 80/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB