Magma V2.19-8 Tue Aug 20 2013 23:42:44 on localhost [Seed = 4004023209] Type ? for help. Type -D to quit. Loading file "L13n5442__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5442 geometric_solution 10.92937812 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1023 0132 1 1 1 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 0 0 0 0 0 2 -2 0 0 0 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417369512325 0.851567228499 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 0 0 1 -1 -1 0 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681171478606 0.878817316321 6 0 0 7 0213 0132 1023 0132 1 1 1 1 0 0 0 0 1 0 -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 0 3 0 -2 -1 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417369512325 0.851567228499 7 5 0 8 0321 1023 0132 0132 1 1 0 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 1 2 -3 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 0.243404094117 0.884316365815 9 1 10 8 0132 0132 0132 3201 0 0 1 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 -1 0 1 -1 0 1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417369512325 0.851567228499 3 9 1 10 1023 0213 0132 1302 0 1 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 0 0 0 0 0 2 1 -3 -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 0.710667560218 1.051179572753 2 10 9 1 0213 0132 0213 0132 0 1 1 1 0 0 0 0 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 0 0 0 1 0 0 -1 -3 0 0 3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449030565165 0.710836397742 3 10 2 8 0321 3012 0132 1023 1 1 0 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243404094117 0.884316365815 9 4 3 7 3201 2310 0132 1023 1 1 0 0 0 -1 1 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 -3 3 0 0 0 0 0 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161089136020 1.311849036142 4 6 5 8 0132 0213 0213 2310 0 0 1 1 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 0 -2 2 1 0 0 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417369512325 0.851567228499 7 6 5 4 1230 0132 2031 0132 0 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 0 0 0 -2 0 3 -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 0.243404094117 0.884316365815 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_4'], 'c_1001_8' : d['c_0110_5'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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_1100_9' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : negation(d['c_0011_8']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_5, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 11/5*c_1100_0^2 - 13/5*c_1100_0 + 11/5, c_0011_0 - 1, c_0011_10 - c_1100_0 - 1, c_0011_3 - c_1100_0^2, c_0011_7 - c_1100_0^2, c_0011_8 + c_1100_0^2 - c_1100_0, c_0101_0 - c_1100_0 - 1, c_0101_1 - c_1100_0^2, c_0101_10 - 1, c_0110_5 + 1, c_1001_4 + c_1100_0^2 + 2*c_1100_0 + 1, c_1100_0^3 + 2*c_1100_0^2 + c_1100_0 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_5, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 823/136*c_1001_4*c_1100_0^2 - 7373/544*c_1001_4*c_1100_0 + 8395/544*c_1001_4 - 345/13*c_1100_0^2 + 2563/52*c_1100_0 - 2205/52, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_4*c_1100_0^2 + 3/8*c_1001_4*c_1100_0 - 13/8*c_1001_4 - c_1100_0^2 + 7/4*c_1100_0 - 5/4, c_0011_3 + 3/2*c_1001_4*c_1100_0^2 - 17/8*c_1001_4*c_1100_0 + 15/8*c_1001_4 + 3/2*c_1100_0^2 - 17/8*c_1100_0 + 15/8, c_0011_7 - c_1001_4*c_1100_0^2 + 11/4*c_1001_4*c_1100_0 - 9/4*c_1001_4 - 3/2*c_1100_0^2 + 17/8*c_1100_0 - 15/8, c_0011_8 + 19/26*c_1001_4*c_1100_0^2 - 193/104*c_1001_4*c_1100_0 + 135/104*c_1001_4 + 27/26*c_1100_0^2 - 121/104*c_1100_0 + 55/104, c_0101_0 + 1/2*c_1001_4*c_1100_0^2 - 3/8*c_1001_4*c_1100_0 + 13/8*c_1001_4 + 1, c_0101_1 - c_1100_0^2 + 7/4*c_1100_0 - 1/4, c_0101_10 + 3/2*c_1001_4*c_1100_0^2 - 17/8*c_1001_4*c_1100_0 + 15/8*c_1001_4 + 1, c_0110_5 + 1, c_1001_4^2 + 6/13*c_1001_4*c_1100_0^2 - 25/26*c_1001_4*c_1100_0 + 35/26*c_1001_4 + 1/13*c_1100_0^2 - 43/52*c_1100_0 + 29/52, c_1100_0^3 - 7/4*c_1100_0^2 + 3/2*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB