Magma V2.19-8 Tue Aug 20 2013 23:42:34 on localhost [Seed = 2277630688] Type ? for help. Type -D to quit. Loading file "L13n4443__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4443 geometric_solution 10.31188377 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 1 0 -1 0 -2 3 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936635443752 0.866987448931 0 5 7 6 0132 0132 0132 0132 1 0 0 1 0 -1 1 0 0 0 -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 -3 3 0 1 0 2 -3 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175728701159 0.695000173796 7 0 9 8 0132 0132 0132 0132 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 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 0.564894872162 0.460572774645 8 4 5 0 0213 0321 0321 0132 1 0 0 0 0 0 0 0 0 0 1 -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 0 1 -1 0 0 -2 2 0 -2 0 2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850015520555 1.064471899708 7 9 0 3 2310 0132 0132 0321 1 0 0 1 0 0 0 0 0 0 1 -1 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 0 0 -3 3 -2 0 0 2 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564894872162 0.460572774645 10 1 3 6 0132 0132 0321 0321 1 0 1 0 0 1 0 -1 -1 0 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 3 -1 -2 3 0 -3 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812675466964 1.256186971232 8 5 1 10 3201 0321 0132 0132 1 0 1 0 0 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 2 0 -2 0 0 3 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812675466964 1.256186971232 2 10 4 1 0132 0132 3201 0132 1 0 1 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 0 0 0 0 0 0 0 3 -3 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 0.494204186344 1.307866920516 3 9 2 6 0213 0213 0132 2310 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 -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 0.541925393745 0.573645462392 10 4 8 2 3201 0132 0213 0132 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 0 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 0.936635443752 0.866987448931 5 7 6 9 0132 0132 0132 2310 1 0 0 1 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 0 2 -2 -3 0 3 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 0.175728701159 0.695000173796 ==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_1001_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(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_6'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0011_4']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_0']), '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_0011_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_6'])})} 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_0011_8, c_0101_0, c_0101_1, c_1001_0, c_1001_1, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 47/72*c_1001_3^5 + 17/72*c_1001_3^4 + 9/8*c_1001_3^3 - 77/48*c_1001_3^2 - 61/144*c_1001_3 - 293/144, c_0011_0 - 1, c_0011_3 - 2*c_1001_3^5 + 2*c_1001_3^4 - 2*c_1001_3^3 + 7*c_1001_3^2 - 3*c_1001_3 + 4, c_0011_4 + 1, c_0011_6 + c_1001_3, c_0011_8 - 1, c_0101_0 - 1, c_0101_1 - 2*c_1001_3^5 - 4*c_1001_3^3 + 3*c_1001_3^2 - 3*c_1001_3 + 1, c_1001_0 + 2*c_1001_3^5 + 2*c_1001_3^4 + 4*c_1001_3^3 + c_1001_3^2 + c_1001_3 + 1, c_1001_1 + c_1001_3^2 - c_1001_3, c_1001_2 + 2*c_1001_3^5 + 2*c_1001_3^3 - 3*c_1001_3^2 + 2*c_1001_3 - 1, c_1001_3^6 + 2*c_1001_3^4 - 3/2*c_1001_3^3 + 2*c_1001_3^2 - c_1001_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB