Magma V2.19-8 Tue Aug 20 2013 23:41:25 on localhost [Seed = 1864960979] Type ? for help. Type -D to quit. Loading file "L12n1504__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1504 geometric_solution 10.55686626 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 2 1 2 0 -1 0 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 0 0 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 0.671914927042 0.630813938315 0 5 7 6 0132 0132 0132 0132 0 2 2 1 0 1 1 -2 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 -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 0.365443922507 1.208827359027 8 0 9 6 0132 0132 0132 2031 0 0 2 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381653205440 0.769773447560 7 8 4 0 0132 1302 2103 0132 0 2 2 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959900346309 1.002856194817 3 5 0 9 2103 1302 0132 1302 0 2 0 1 0 2 -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 0 1 0 0 1 -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 0.992451745258 0.781572463670 10 1 6 4 0132 0132 2031 2031 0 0 1 2 0 -1 1 0 0 0 2 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381653205440 0.769773447560 8 2 1 5 2310 1302 0132 1302 0 2 0 2 0 0 2 -2 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 -1 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 0 0 0 0 0.287196781638 0.975744611771 3 9 10 1 0132 1023 1230 0132 0 2 1 2 0 1 0 -1 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 -1 0 1 0 0 0 0 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.039807920165 0.995560202298 2 10 6 3 0132 0132 3201 2031 2 0 1 2 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365443922507 1.208827359027 7 10 4 2 1023 1230 2031 0132 0 0 1 2 0 0 0 0 -1 0 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 1 0 -1 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.012355705341 1.279352564819 5 8 9 7 0132 0132 3012 3012 2 0 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 0.671914927042 0.630813938315 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_0']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(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_9' : negation(d['c_1010_4']), 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_1010_4']), 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1010_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_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_5'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], '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_8'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_8'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_0101_9, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 119241/21376*c_1010_4^4 - 961913/10688*c_1010_4^3 - 268903/668*c_1010_4^2 + 4667505/10688*c_1010_4 - 7477607/21376, c_0011_0 - 1, c_0011_3 + 9/1336*c_1010_4^4 + 125/1336*c_1010_4^3 + 329/1336*c_1010_4^2 - 2303/1336*c_1010_4 + 110/167, c_0011_4 - 1/2672*c_1010_4^4 - 51/2672*c_1010_4^3 - 519/2672*c_1010_4^2 - 2045/2672*c_1010_4 + 229/334, c_0011_6 - 1, c_0101_0 - 1, c_0101_1 + 9/1336*c_1010_4^4 + 125/1336*c_1010_4^3 + 329/1336*c_1010_4^2 - 2303/1336*c_1010_4 + 110/167, c_0101_10 + 67/2672*c_1010_4^4 + 1079/2672*c_1010_4^3 + 4713/2672*c_1010_4^2 - 6939/2672*c_1010_4 + 355/334, c_0101_5 - 1, c_0101_8 - 6/167*c_1010_4^4 - 389/668*c_1010_4^3 - 442/167*c_1010_4^2 + 1521/668*c_1010_4 - 197/167, c_0101_9 - 49/2672*c_1010_4^4 - 829/2672*c_1010_4^3 - 4055/2672*c_1010_4^2 + 2333/2672*c_1010_4 - 135/334, c_1010_4^5 + 16*c_1010_4^4 + 70*c_1010_4^3 - 88*c_1010_4^2 + 73*c_1010_4 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB