Magma V2.19-8 Tue Aug 20 2013 23:46:18 on localhost [Seed = 4138769663] Type ? for help. Type -D to quit. Loading file "K14n15856__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15856 geometric_solution 10.29881666 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 24 -24 0 0 0 25 -25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.394757485065 1.570327925053 0 4 6 5 0132 1023 0132 0132 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 -24 25 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322690127064 0.700817485521 7 0 8 3 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -25 0 25 -24 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217086723342 0.503266197261 9 10 2 0 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 -25 0 25 1 24 -25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411229104381 0.719029774466 1 6 0 8 1023 2103 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 -25 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210213905259 0.612090793221 9 7 1 9 2103 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.318969405645 1.331040818413 8 4 11 1 1302 2103 0132 0132 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 -1 0 1 25 -25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640468676028 1.212019840727 2 11 5 10 0132 3120 3012 1023 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 0 -1 1 24 0 0 -24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800930569435 0.848521434138 10 6 4 2 2031 2031 0132 0132 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 25 -25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.650438797800 1.484199751262 3 11 5 5 0132 0213 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.665565192170 0.480493148016 11 3 8 7 0132 0132 1302 1023 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 1 0 -1 0 0 0 0 0 -24 0 24 0 25 -25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.441064821974 1.006939342874 10 7 9 6 0132 3120 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410401080466 0.186964827470 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_8']), '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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_11' : d['c_0110_5'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_6'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : 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' : 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' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], '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_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 4181/4*c_1100_0 - 17711/4, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_5 + 1, c_0011_6 + 1/2*c_1100_0 + 1/2, c_0011_8 + 1/2*c_1100_0 - 1/2, c_0101_0 - c_1100_0 + 1, c_0101_1 - 1/2*c_1100_0 - 1/2, c_0101_2 + 1/2*c_1100_0 - 1/2, c_0101_3 + 1/2*c_1100_0 + 1/2, c_0101_8 - c_1100_0, c_0110_5 + 1/2*c_1100_0 + 1/2, c_1100_0^2 + 4*c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 6216325/14256*c_1100_0^3 + 22044673/1584*c_1100_0^2 - 4731181/144*c_1100_0 + 163524899/14256, c_0011_0 - 1, c_0011_10 + 1/24*c_1100_0^3 - 31/24*c_1100_0^2 + 67/24*c_1100_0 - 7/8, c_0011_5 + 1/12*c_1100_0^3 - 8/3*c_1100_0^2 + 59/12*c_1100_0 - 1/3, c_0011_6 - 1/24*c_1100_0^3 + 31/24*c_1100_0^2 - 55/24*c_1100_0 + 3/8, c_0011_8 + 1/2*c_1100_0 - 1/2, c_0101_0 - 1/8*c_1100_0^3 + 95/24*c_1100_0^2 - 185/24*c_1100_0 + 29/24, c_0101_1 + 1/2*c_1100_0 + 1/2, c_0101_2 - 1/2*c_1100_0 + 1/2, c_0101_3 - 1/8*c_1100_0^3 + 31/8*c_1100_0^2 - 55/8*c_1100_0 + 9/8, c_0101_8 + 1/24*c_1100_0^3 - 31/24*c_1100_0^2 + 67/24*c_1100_0 - 7/8, c_0110_5 + 1/8*c_1100_0^3 - 31/8*c_1100_0^2 + 55/8*c_1100_0 - 9/8, c_1100_0^4 - 32*c_1100_0^3 + 78*c_1100_0^2 - 32*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.150 Total time: 1.360 seconds, Total memory usage: 32.09MB