Magma V2.19-8 Tue Aug 20 2013 23:45:26 on localhost [Seed = 1545222551] Type ? for help. Type -D to quit. Loading file "L9n10__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9n10 geometric_solution 9.96651188 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 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 0.217289083216 0.997195240580 0 5 2 6 0132 0132 1023 0132 0 0 1 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 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 -0.208608288710 0.957356851844 5 0 1 7 0132 0132 1023 0132 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 0 0 0 0 0 0 -1 0 1 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 -0.208608288710 0.957356851844 8 6 9 0 0132 0132 0132 0132 0 0 1 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 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 0.576604211359 0.558778704040 6 10 0 8 0132 0132 0132 0132 0 0 1 1 0 0 1 -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 0 0 0 1 0 -1 -1 0 0 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643186455142 1.037033629315 2 1 8 9 0132 0132 0132 0132 0 0 1 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 -1 1 0 1 0 -1 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 0.217289083216 0.997195240580 4 3 1 10 0132 0132 0132 1023 0 0 1 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 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 0.809288063878 1.376229129550 9 8 2 10 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809288063878 1.376229129550 3 7 4 5 0132 0132 0132 0132 0 0 1 1 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 0 1 -1 0 0 -1 1 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576604211359 0.558778704040 7 10 5 3 0132 1023 0132 0132 0 0 1 1 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 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643186455142 1.037033629315 9 4 7 6 1023 0132 0132 1023 0 0 1 1 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 0 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 0.329211032520 0.242093875849 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : d['c_0101_1'], '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_1100_0'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_10' : negation(d['c_1100_1']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_1001_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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1'], '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_10' : d['c_0110_10'], 'c_0011_6' : d['c_0011_10'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_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' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], '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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_1001_0, c_1001_10, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2636089/1913*c_1100_1^5 - 211184709/95650*c_1100_1^4 + 688770541/191300*c_1100_1^3 - 21289023/9565*c_1100_1^2 + 49823757/191300*c_1100_1 - 32813393/191300, c_0011_0 - 1, c_0011_10 - 19550/1913*c_1100_1^5 + 68067/3826*c_1100_1^4 - 111431/3826*c_1100_1^3 + 80133/3826*c_1100_1^2 - 10370/1913*c_1100_1 + 8685/3826, c_0101_0 - 1, c_0101_1 + 14975/3826*c_1100_1^5 - 9411/1913*c_1100_1^4 + 20017/1913*c_1100_1^3 - 22609/3826*c_1100_1^2 + 12601/3826*c_1100_1 - 3533/3826, c_0101_10 - 19925/3826*c_1100_1^5 + 9408/1913*c_1100_1^4 - 47969/3826*c_1100_1^3 + 8851/3826*c_1100_1^2 - 4827/1913*c_1100_1 - 963/1913, c_0101_3 + 30275/3826*c_1100_1^5 - 5054/1913*c_1100_1^4 + 23063/1913*c_1100_1^3 + 25133/3826*c_1100_1^2 + 1753/3826*c_1100_1 + 4297/3826, c_0110_10 + 2175/1913*c_1100_1^5 + 4353/3826*c_1100_1^4 - 1122/1913*c_1100_1^3 + 14699/3826*c_1100_1^2 - 271/3826*c_1100_1 - 181/1913, c_1001_0 - 9100/1913*c_1100_1^5 + 36209/3826*c_1100_1^4 - 29080/1913*c_1100_1^3 + 45123/3826*c_1100_1^2 - 16391/3826*c_1100_1 + 1307/1913, c_1001_10 + 39175/3826*c_1100_1^5 - 25338/1913*c_1100_1^4 + 98595/3826*c_1100_1^3 - 48447/3826*c_1100_1^2 + 10681/1913*c_1100_1 - 3620/1913, c_1100_0 + 17450/1913*c_1100_1^5 - 18819/1913*c_1100_1^4 + 88003/3826*c_1100_1^3 - 15730/1913*c_1100_1^2 + 18429/3826*c_1100_1 - 1607/3826, c_1100_1^6 - 28/25*c_1100_1^5 + 62/25*c_1100_1^4 - 22/25*c_1100_1^3 + 17/25*c_1100_1^2 - 2/25*c_1100_1 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB