Magma V2.19-8 Tue Aug 20 2013 23:40:51 on localhost [Seed = 3599807036] Type ? for help. Type -D to quit. Loading file "L11n327__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n327 geometric_solution 10.56280631 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 0321 0132 0 1 1 2 0 0 1 -1 0 0 0 0 -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 1 0 -1 -1 0 1 0 -1 1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416163911054 1.087100864545 0 4 6 5 0132 0132 0132 0132 2 1 2 1 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 1 0 -1 0 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097197802556 0.775607087240 7 0 0 5 0132 0132 0321 2031 0 2 2 1 0 0 -1 1 0 0 0 0 -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 -1 0 1 -1 0 1 0 -2 2 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416163911054 1.087100864545 7 5 0 5 3012 2031 0132 2103 0 1 2 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 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 0.383433480502 0.713951871152 7 1 8 9 1023 0132 0132 0132 2 1 1 2 0 0 0 0 0 0 0 0 -1 0 0 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 -2 0 0 2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672247778938 1.003495886824 3 2 1 3 1302 1302 0132 2103 2 1 0 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416163911054 1.087100864545 9 10 7 1 0132 0132 1023 0132 2 1 1 2 0 0 0 0 0 0 0 0 -1 0 0 1 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 -2 1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672247778938 1.003495886824 2 4 6 3 0132 1023 1023 1230 1 2 1 2 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 1 0 -1 0 -2 2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.097197802556 0.775607087240 9 10 10 4 3120 0321 1302 0132 2 1 2 2 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 3 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388618648402 0.481829107782 6 10 4 8 0132 0213 0132 3120 2 1 2 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 1 0 0 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858372132024 0.589162662309 8 6 9 8 2031 0132 0213 0321 2 2 2 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 1 -1 0 0 0 0 0 1 2 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388618648402 0.481829107782 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0110_3'], 'c_1100_6' : negation(d['c_0110_3']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 'c_1100_10' : negation(d['c_0011_8']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(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' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : 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_5, c_0011_8, c_0101_1, c_0101_4, c_0101_7, c_0110_3, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 8921/525*c_1001_1^4 + 207493/3150*c_1001_1^3 - 149489/1575*c_1001_1^2 + 225527/3150*c_1001_1 - 5266/175, c_0011_0 - 1, c_0011_10 - 88/63*c_1001_1^4 + 44/21*c_1001_1^3 - 29/63*c_1001_1^2 + 8/63*c_1001_1 + 13/63, c_0011_3 + 110/63*c_1001_1^4 - 242/63*c_1001_1^3 + 248/63*c_1001_1^2 - 178/63*c_1001_1 + 122/63, c_0011_5 - 1, c_0011_8 - 11/21*c_1001_1^4 + 88/63*c_1001_1^3 - 101/63*c_1001_1^2 + 8/21*c_1001_1 - 17/63, c_0101_1 - 1, c_0101_4 + c_1001_1, c_0101_7 - 88/63*c_1001_1^4 + 44/21*c_1001_1^3 - 92/63*c_1001_1^2 + 8/63*c_1001_1 + 13/63, c_0110_3 + 1, c_0110_5 + 242/63*c_1001_1^4 - 66/7*c_1001_1^3 + 484/63*c_1001_1^2 - 358/63*c_1001_1 + 169/63, c_1001_1^5 - 3*c_1001_1^4 + 38/11*c_1001_1^3 - 27/11*c_1001_1^2 + 13/11*c_1001_1 - 5/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB