Magma V2.19-8 Wed Aug 21 2013 00:54:43 on localhost [Seed = 2328662214] Type ? for help. Type -D to quit. Loading file "L12n559__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n559 geometric_solution 11.85554320 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 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 -1 0 1 -1 0 0 1 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621275256590 1.210903412712 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 1 0 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410903457492 1.012970064783 5 0 9 8 0132 0132 0132 0132 1 0 1 1 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 1 0 -1 1 0 0 -1 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007332382245 0.857995024268 10 9 6 0 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 0 0 -1 0 1 0 -1 0 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450203123017 0.762614919974 11 6 0 7 0132 0132 0132 0132 1 0 1 1 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 -1 1 1 0 -1 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309057753908 0.719250683416 2 1 11 7 0132 0132 3120 3120 1 0 1 1 0 0 0 0 -1 0 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 -1 0 0 1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.597724835495 0.506368340891 8 4 1 3 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -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 1 0 0 -1 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396442110728 0.867795088268 5 12 4 1 3120 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 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 1 -1 0 -1 0 0 1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805135711768 0.620064879299 6 12 2 10 0132 3201 0132 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 1 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 -0.116706958581 0.648341194836 11 3 10 2 3120 0132 0132 0132 1 0 1 1 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 -1 0 1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009959644610 1.165422809919 3 12 8 9 0132 3012 0132 0132 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 0 0 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 0.268930603547 1.493987941697 4 12 5 9 0132 2310 3120 3120 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 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 0.749552587741 1.514979531608 10 7 8 11 1230 0132 2310 3201 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 1 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 0.528522916415 1.080071013593 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : negation(d['c_0101_12']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_1001_11']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_1001_11']), 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_12']), 'c_1010_1' : negation(d['c_1001_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_3'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1100_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_12, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_1001_11, c_1001_2, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 6804483557/107706233600*c_1100_10^5 + 976654353/6731639600*c_1100_10^4 + 23924821/79195760*c_1100_10^3 + 16758006597/13463279200*c_1100_10^2 + 6325910793/6731639600*c_1100_10 + 1367421579/1682909900, c_0011_0 - 1, c_0011_10 + 3737/12712*c_1100_10^5 + 3413/1816*c_1100_10^4 + 2469/908*c_1100_10^3 + 12273/3178*c_1100_10^2 - 932/1589*c_1100_10 - 1529/1589, c_0011_11 + 1221/25424*c_1100_10^5 + 6273/12712*c_1100_10^4 + 6079/6356*c_1100_10^3 + 979/3178*c_1100_10^2 - 2202/1589*c_1100_10 - 4483/1589, c_0011_12 + 962/1589*c_1100_10^5 + 21481/25424*c_1100_10^4 + 14221/6356*c_1100_10^3 + 4177/6356*c_1100_10^2 + 1153/1589*c_1100_10 - 953/1589, c_0101_0 - 1, c_0101_1 + 185/1816*c_1100_10^5 + 5997/25424*c_1100_10^4 + 1597/12712*c_1100_10^3 + 143/6356*c_1100_10^2 - 523/1589*c_1100_10 + 1194/1589, c_0101_11 - 2923/25424*c_1100_10^5 + 4835/12712*c_1100_10^4 - 173/1589*c_1100_10^3 + 487/908*c_1100_10^2 - 775/1589*c_1100_10 - 446/1589, c_0101_12 + 5661/6356*c_1100_10^5 + 13257/12712*c_1100_10^4 + 2843/1589*c_1100_10^3 - 2272/1589*c_1100_10^2 - 2536/1589*c_1100_10 - 470/1589, c_0101_3 - 37/25424*c_1100_10^5 + 191/1816*c_1100_10^4 + 63/454*c_1100_10^3 + 2543/3178*c_1100_10^2 + 335/1589*c_1100_10 - 724/1589, c_1001_11 + 14615/50848*c_1100_10^5 + 4455/6356*c_1100_10^4 + 11491/6356*c_1100_10^3 + 4757/6356*c_1100_10^2 + 359/454*c_1100_10 - 1836/1589, c_1001_2 + 5661/12712*c_1100_10^5 + 13257/25424*c_1100_10^4 + 2843/3178*c_1100_10^3 - 1136/1589*c_1100_10^2 - 1268/1589*c_1100_10 - 235/1589, c_1100_0 + 6105/25424*c_1100_10^5 + 3937/25424*c_1100_10^4 + 4971/6356*c_1100_10^3 + 64/1589*c_1100_10^2 + 113/1589*c_1100_10 - 169/1589, c_1100_10^6 + 64/37*c_1100_10^5 + 172/37*c_1100_10^4 + 64/37*c_1100_10^3 + 96/37*c_1100_10^2 - 64/37*c_1100_10 + 64/37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB