Magma V2.19-8 Wed Aug 21 2013 01:03:46 on localhost [Seed = 1747873870] Type ? for help. Type -D to quit. Loading file "L14n22108__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n22108 geometric_solution 10.72522683 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 0 -1 0 2 -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 0 1 -1 -1 0 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 0.622169603545 0.870099676499 0 5 6 2 0132 0132 0132 3120 0 0 1 0 0 0 0 0 1 0 0 -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 0 0 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 0.238543871740 0.512384651396 1 0 7 7 3120 0132 3201 0132 1 0 1 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 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 1.357496503004 0.679630934254 4 8 9 0 1302 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 1 -2 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 1 0 -1 0 0 1 -1 1 0 0 -1 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.693923218104 1.959246572303 10 3 0 9 0132 2031 0132 0132 1 0 1 0 0 0 0 0 -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 -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 -0.638048714273 0.499515158535 11 1 11 6 0132 0132 3012 2310 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 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 0.120937872512 0.940826797388 5 12 7 1 3201 0132 1230 0132 0 0 0 1 0 -1 1 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 -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 -0.383412101454 0.613995920057 2 8 2 6 2310 0213 0132 3012 1 0 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 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 -0.029474281575 0.647184463596 12 3 7 10 3012 0132 0213 0132 1 0 1 1 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 -1 0 1 0 0 0 0 -1 6 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391141736490 0.596677539707 10 11 4 3 1230 0321 0132 0132 1 0 1 1 0 0 0 0 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 0 0 0 1 0 0 -1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325316205551 0.449745005611 4 9 8 12 0132 3012 0132 1302 1 0 0 1 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 0 -1 1 0 0 0 0 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502956465923 2.129415911682 5 5 12 9 0132 1230 2103 0321 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530224575889 0.567479219081 11 6 10 8 2103 0132 2031 1230 0 1 1 0 0 1 -1 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 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 0 0 0 0 0 0 0.457413360010 1.465600305017 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : negation(d['c_0011_9']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], '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_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_10'], '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_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 614903/165083072*c_1100_0^10 + 227327/23583296*c_1100_0^9 - 112579/11791648*c_1100_0^8 - 217205/23583296*c_1100_0^7 + 5597269/41270768*c_1100_0^6 - 33502607/165083072*c_1100_0^5 + 508383/3751888*c_1100_0^4 + 36724187/165083072*c_1100_0^3 - 201842241/165083072*c_1100_0^2 + 92111927/82541536*c_1100_0 - 106202851/82541536, c_0011_0 - 1, c_0011_10 - 3/128*c_1100_0^10 + 3/128*c_1100_0^9 + 5/128*c_1100_0^8 - 13/128*c_1100_0^7 + 61/128*c_1100_0^6 - 11/128*c_1100_0^5 - 31/128*c_1100_0^4 + 97/128*c_1100_0^3 - 183/64*c_1100_0^2 + 29/32*c_1100_0 - 249/64, c_0011_12 + 1/64*c_1100_0^10 - 3/64*c_1100_0^9 + 1/64*c_1100_0^8 + 9/64*c_1100_0^7 - 31/64*c_1100_0^6 + 47/64*c_1100_0^5 - 7/64*c_1100_0^4 - 117/64*c_1100_0^3 + 117/32*c_1100_0^2 - 9/2*c_1100_0 + 109/32, c_0011_3 + 3/128*c_1100_0^10 - 7/128*c_1100_0^9 + 3/128*c_1100_0^8 + 17/128*c_1100_0^7 - 93/128*c_1100_0^6 + 103/128*c_1100_0^5 - 1/128*c_1100_0^4 - 229/128*c_1100_0^3 + 319/64*c_1100_0^2 - 131/32*c_1100_0 + 237/64, c_0011_7 + 1/64*c_1100_0^10 - 1/32*c_1100_0^9 + 1/64*c_1100_0^8 + 1/32*c_1100_0^7 - 31/64*c_1100_0^6 + 1/2*c_1100_0^5 - 29/64*c_1100_0^4 - 11/32*c_1100_0^3 + 139/32*c_1100_0^2 - 85/32*c_1100_0 + 113/16, c_0011_9 - 3/128*c_1100_0^10 + 3/128*c_1100_0^9 + 5/128*c_1100_0^8 - 5/128*c_1100_0^7 + 61/128*c_1100_0^6 - 27/128*c_1100_0^5 - 31/128*c_1100_0^4 + 25/128*c_1100_0^3 - 207/64*c_1100_0^2 + 33/32*c_1100_0 - 257/64, c_0101_0 - 1/128*c_1100_0^10 + 3/128*c_1100_0^9 - 1/128*c_1100_0^8 - 5/128*c_1100_0^7 + 31/128*c_1100_0^6 - 55/128*c_1100_0^5 + 7/128*c_1100_0^4 + 49/128*c_1100_0^3 - 129/64*c_1100_0^2 + 41/16*c_1100_0 - 113/64, c_0101_1 - 1, c_0101_10 - 1/32*c_1100_0^10 + 1/16*c_1100_0^9 - 1/32*c_1100_0^8 - 1/8*c_1100_0^7 + 31/32*c_1100_0^6 - 9/8*c_1100_0^5 + 13/32*c_1100_0^4 + 2*c_1100_0^3 - 117/16*c_1100_0^2 + 107/16*c_1100_0 - 15/2, c_0101_11 + 5/128*c_1100_0^10 - 9/128*c_1100_0^9 - 3/128*c_1100_0^8 + 23/128*c_1100_0^7 - 123/128*c_1100_0^6 + 121/128*c_1100_0^5 + 17/128*c_1100_0^4 - 259/128*c_1100_0^3 + 441/64*c_1100_0^2 - 177/32*c_1100_0 + 475/64, c_0101_2 - 1/128*c_1100_0^10 + 3/128*c_1100_0^9 - 1/128*c_1100_0^8 - 5/128*c_1100_0^7 + 31/128*c_1100_0^6 - 55/128*c_1100_0^5 + 7/128*c_1100_0^4 + 49/128*c_1100_0^3 - 129/64*c_1100_0^2 + 41/16*c_1100_0 - 177/64, c_1001_0 + 1/128*c_1100_0^10 - 1/128*c_1100_0^9 - 3/128*c_1100_0^8 + 3/128*c_1100_0^7 - 23/128*c_1100_0^6 + 1/128*c_1100_0^5 + 49/128*c_1100_0^4 - 7/128*c_1100_0^3 + 101/64*c_1100_0^2 + 1/32*c_1100_0 + 15/64, c_1100_0^11 - 4*c_1100_0^10 + 4*c_1100_0^9 + 4*c_1100_0^8 - 36*c_1100_0^7 + 86*c_1100_0^6 - 62*c_1100_0^5 - 42*c_1100_0^4 + 307*c_1100_0^3 - 586*c_1100_0^2 + 554*c_1100_0 - 482 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.650 Total time: 0.870 seconds, Total memory usage: 32.09MB