Magma V2.19-8 Tue Aug 20 2013 23:59:05 on localhost [Seed = 2193943532] Type ? for help. Type -D to quit. Loading file "L14n42185__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n42185 geometric_solution 10.74025767 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 0 1 0 -1 0 1 -1 0 0 1 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 2 1 -3 3 0 0 -3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.731651023225 1.159544528068 0 4 6 5 0132 1023 0132 0132 2 2 1 0 0 0 1 -1 1 0 -1 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 -3 3 -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 0.202584519049 0.533963682712 3 0 7 4 1023 0132 0132 1023 2 2 1 0 0 1 0 -1 0 0 0 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 -2 -1 3 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 0.189437781290 0.818566723617 5 2 8 0 0132 1023 0132 0132 2 2 1 0 0 0 0 0 0 0 0 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 0 1 -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 0.529066504176 0.625580845356 1 5 0 2 1023 0132 0132 1023 2 2 1 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 -3 3 0 0 0 3 -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 0.189437781290 0.818566723617 3 4 1 7 0132 0132 0132 0321 2 2 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 0 0 0 0 0 3 -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 0 0 0 0.869129684964 1.164000442596 9 9 10 1 0132 1230 0132 0132 2 2 0 2 0 1 0 -1 -1 0 0 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 -3 0 3 3 0 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 0.399039274733 0.410369117901 11 5 8 2 0132 0321 1023 0132 2 2 0 2 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 -1 1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086051788997 0.731322499867 10 11 7 3 2031 1230 1023 0132 2 2 0 2 0 0 0 0 0 0 0 0 -2 0 0 2 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873259584600 0.711871019140 6 10 6 11 0132 1023 3012 0213 2 2 2 0 0 0 0 0 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 0 0 0 -3 0 3 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 -0.217937903743 1.252518573644 9 11 8 6 1023 2103 1302 0132 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566098226033 0.772701697215 7 10 8 9 0132 2103 3012 0213 2 2 2 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 -1 1 0 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303367943693 1.798461118322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_2'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_1001_6']), 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : 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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_6']), 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0110_2'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_0'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_11'], '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_0110_2'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0101_8, c_0110_2, c_1001_2, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 888417/12852736*c_1100_0^5 - 33663/30896*c_1100_0^4 - 53864305/12852736*c_1100_0^3 - 32259133/3213184*c_1100_0^2 - 6848035/803296*c_1100_0 - 89712815/12852736, c_0011_0 - 1, c_0011_10 - 1371/1931*c_1100_0^5 - 6865/1931*c_1100_0^4 - 20080/1931*c_1100_0^3 - 24002/1931*c_1100_0^2 - 17947/1931*c_1100_0 - 5929/1931, c_0011_11 + 384/1931*c_1100_0^5 + 2189/1931*c_1100_0^4 + 7196/1931*c_1100_0^3 + 10741/1931*c_1100_0^2 + 9100/1931*c_1100_0 + 955/1931, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 1, c_0101_6 - 384/1931*c_1100_0^5 - 2189/1931*c_1100_0^4 - 7196/1931*c_1100_0^3 - 10741/1931*c_1100_0^2 - 9100/1931*c_1100_0 - 2886/1931, c_0101_8 - 261/1931*c_1100_0^5 - 990/1931*c_1100_0^4 - 2779/1931*c_1100_0^3 - 2820/1931*c_1100_0^2 - 3349/1931*c_1100_0 + 422/1931, c_0110_2 + 261/1931*c_1100_0^5 + 990/1931*c_1100_0^4 + 2779/1931*c_1100_0^3 + 2820/1931*c_1100_0^2 + 3349/1931*c_1100_0 + 1509/1931, c_1001_2 - 261/1931*c_1100_0^5 - 990/1931*c_1100_0^4 - 2779/1931*c_1100_0^3 - 2820/1931*c_1100_0^2 - 5280/1931*c_1100_0 - 1509/1931, c_1001_6 - 1293/1931*c_1100_0^5 - 7235/1931*c_1100_0^4 - 22601/1931*c_1100_0^3 - 33014/1931*c_1100_0^2 - 26357/1931*c_1100_0 - 10472/1931, c_1100_0^6 + 16/3*c_1100_0^5 + 17*c_1100_0^4 + 76/3*c_1100_0^3 + 80/3*c_1100_0^2 + 15*c_1100_0 + 16/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB