Magma V2.19-8 Tue Aug 20 2013 23:45:23 on localhost [Seed = 1074144655] Type ? for help. Type -D to quit. Loading file "L9a13__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a13 geometric_solution 10.56280631 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 1 -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 0.097197802556 0.775607087240 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 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 0.672247778938 1.003495886824 8 0 9 9 0132 0132 2103 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 1 0 -1 -1 0 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 0.416163911054 1.087100864545 8 8 9 0 2031 0321 2031 0132 1 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 0 0 0 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 0.416163911054 1.087100864545 10 7 0 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672247778938 1.003495886824 8 1 4 9 1023 0132 0132 2031 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 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 0.097197802556 0.775607087240 10 7 1 10 2103 0213 0132 2031 1 1 1 1 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 0 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 0.388618648402 0.481829107782 10 4 6 1 3120 0132 0213 0132 1 1 1 1 0 0 0 0 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 -1 1 0 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 0.858372132024 0.589162662309 2 5 3 3 0132 1023 1302 0321 1 0 1 1 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 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 0.416163911054 1.087100864545 2 5 2 3 2103 1302 0132 1302 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 1 -1 -1 0 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 0.692863585471 0.802299894102 4 6 6 7 0132 1302 2103 3120 1 1 1 1 0 -1 0 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 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 0.388618648402 0.481829107782 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0101_0'], 'c_1010_10' : negation(d['c_0011_10']), '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_0'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : negation(d['c_1010_9']), 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0110_5'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_6'], '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_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0110_5, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 8921/525*c_1001_5^4 + 207493/3150*c_1001_5^3 + 149489/1575*c_1001_5^2 + 225527/3150*c_1001_5 + 5266/175, c_0011_0 - 1, c_0011_10 + 88/63*c_1001_5^4 + 44/21*c_1001_5^3 + 29/63*c_1001_5^2 + 8/63*c_1001_5 - 13/63, c_0011_3 + 1, c_0011_6 - 11/7*c_1001_5^4 - 88/21*c_1001_5^3 - 59/21*c_1001_5^2 - 8/7*c_1001_5 - 17/21, c_0011_9 - 110/63*c_1001_5^4 - 242/63*c_1001_5^3 - 248/63*c_1001_5^2 - 178/63*c_1001_5 - 59/63, c_0101_0 + 110/63*c_1001_5^4 + 242/63*c_1001_5^3 + 248/63*c_1001_5^2 + 178/63*c_1001_5 + 59/63, c_0101_1 + c_1001_5, c_0101_3 - 1, c_0110_5 - 110/63*c_1001_5^4 - 242/63*c_1001_5^3 - 248/63*c_1001_5^2 - 178/63*c_1001_5 - 122/63, c_1001_5^5 + 3*c_1001_5^4 + 38/11*c_1001_5^3 + 27/11*c_1001_5^2 + 13/11*c_1001_5 + 5/11, c_1010_9 + 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0110_5, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 88545/416*c_1001_5^5 - 9945/32*c_1001_5^4 + 90145/208*c_1001_5^3 - 112607/416*c_1001_5^2 + 88207/416*c_1001_5 - 7665/416, c_0011_0 - 1, c_0011_10 - 45/13*c_1001_5^5 + 5*c_1001_5^4 - 70/13*c_1001_5^3 + 42/13*c_1001_5^2 - 19/13*c_1001_5 - 2/13, c_0011_3 + 1, c_0011_6 + 25/13*c_1001_5^5 + 10/13*c_1001_5^3 + 20/13*c_1001_5^2 - 1/13*c_1001_5 + 4/13, c_0011_9 - 55/13*c_1001_5^5 + 5*c_1001_5^4 - 100/13*c_1001_5^3 + 73/13*c_1001_5^2 - 55/13*c_1001_5 + 12/13, c_0101_0 + 55/13*c_1001_5^5 - 5*c_1001_5^4 + 100/13*c_1001_5^3 - 73/13*c_1001_5^2 + 55/13*c_1001_5 - 12/13, c_0101_1 + c_1001_5, c_0101_3 + 1, c_0110_5 - 55/13*c_1001_5^5 + 5*c_1001_5^4 - 100/13*c_1001_5^3 + 73/13*c_1001_5^2 - 55/13*c_1001_5 + 25/13, c_1001_5^6 - 2*c_1001_5^5 + 3*c_1001_5^4 - 13/5*c_1001_5^3 + 2*c_1001_5^2 - 4/5*c_1001_5 + 1/5, c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB