Magma V2.19-8 Tue Aug 20 2013 16:14:55 on localhost [Seed = 1377029686] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s896 geometric_solution 5.63943156 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 0 0 0 0 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 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 0.741523741220 0.707534447816 0 2 0 4 0132 3201 1023 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741523741220 0.707534447816 4 0 1 3 0321 0132 2310 1230 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 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 0.710205982500 0.948638147325 2 5 0 5 3012 0132 0132 2310 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 0 -1 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 0 0 0 0.927338444675 0.719267888874 2 5 1 5 0321 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927338444675 0.719267888874 3 3 4 4 3201 0132 0132 3201 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 1 0 -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 0.643102088683 0.431228917790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2645/1164*c_1001_2^9 - 2943/388*c_1001_2^8 + 4115/582*c_1001_2^7 + 10427/1164*c_1001_2^6 - 4775/194*c_1001_2^5 + 19099/1164*c_1001_2^4 + 1999/291*c_1001_2^3 - 6203/388*c_1001_2^2 + 5101/582*c_1001_2 - 365/291, c_0011_0 - 1, c_0011_3 - 140/97*c_1001_2^9 + 63/97*c_1001_2^8 + 618/97*c_1001_2^7 - 1027/97*c_1001_2^6 - 304/97*c_1001_2^5 + 2061/97*c_1001_2^4 - 1420/97*c_1001_2^3 - 618/97*c_1001_2^2 + 1356/97*c_1001_2 - 667/97, c_0101_0 - 755/194*c_1001_2^9 + 2401/194*c_1001_2^8 - 1060/97*c_1001_2^7 - 2625/194*c_1001_2^6 + 3573/97*c_1001_2^5 - 4485/194*c_1001_2^4 - 1106/97*c_1001_2^3 + 4739/194*c_1001_2^2 - 1256/97*c_1001_2 + 67/97, c_0101_1 + 755/194*c_1001_2^9 - 2401/194*c_1001_2^8 + 1060/97*c_1001_2^7 + 2625/194*c_1001_2^6 - 3573/97*c_1001_2^5 + 4485/194*c_1001_2^4 + 1106/97*c_1001_2^3 - 4739/194*c_1001_2^2 + 1256/97*c_1001_2 - 67/97, c_0110_5 - 525/194*c_1001_2^9 + 1085/194*c_1001_2^8 - 78/97*c_1001_2^7 - 2663/194*c_1001_2^6 + 1758/97*c_1001_2^5 - 395/194*c_1001_2^4 - 1547/97*c_1001_2^3 + 2775/194*c_1001_2^2 - 222/97*c_1001_2 - 317/97, c_1001_2^10 - 21/5*c_1001_2^9 + 34/5*c_1001_2^8 - 7/5*c_1001_2^7 - 12*c_1001_2^6 + 97/5*c_1001_2^5 - 10*c_1001_2^4 - 33/5*c_1001_2^3 + 68/5*c_1001_2^2 - 44/5*c_1001_2 + 12/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB