Magma V2.19-8 Wed Aug 21 2013 01:03:25 on localhost [Seed = 4020893668] Type ? for help. Type -D to quit. Loading file "L14n20194__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20194 geometric_solution 12.07369737 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 -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 -0.011605870607 1.120735032658 0 5 6 4 0132 0132 0132 2310 1 1 1 1 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 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046564577528 1.444977599017 5 0 7 3 0132 0132 0132 0132 0 1 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 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 0.213346549808 0.908661525411 8 9 2 0 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 -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 -0.011605870607 1.120735032658 1 10 0 7 3201 0132 0132 0132 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 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 0 0 0 0 0.405692342744 0.717597761993 2 1 8 9 0132 0132 2310 2310 1 1 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 0 0 0 0 0 0 0 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.123604319660 0.649543771582 8 11 12 1 2310 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.011605870607 1.120735032658 12 11 4 2 1302 1230 0132 0132 0 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774798759999 0.685681622026 3 5 6 12 0132 3201 3201 3120 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 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 0 0 0 0 0.213346549808 0.908661525411 5 3 10 11 3201 0132 0321 1023 0 1 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 0 0 0 0 0 0 0 0 1 -1 0 2 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 -0.046564577528 1.444977599017 12 4 9 11 2310 0132 0321 1230 0 1 1 1 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 -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 0.684569407250 0.826584461051 10 6 7 9 3012 0132 3012 1023 1 0 1 1 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 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 -0.011605870607 1.120735032658 8 7 10 6 3120 2031 3201 0132 1 1 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 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 0.276208563456 0.640541146734 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : d['c_0110_11'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_0101_11'], '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' : 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_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' : 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_1001_10'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : negation(d['c_0011_12']), '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'], 'c_1100_12' : negation(d['c_0011_10']), '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' : negation(d['c_0011_3']), '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_11']), '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' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_12']), '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0110_11, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 58436/2025*c_1100_0^10 + 32803/405*c_1100_0^9 + 595433/2025*c_1100_0^8 + 1000078/2025*c_1100_0^7 + 341288/405*c_1100_0^6 + 605111/675*c_1100_0^5 + 1319143/2025*c_1100_0^4 + 101422/405*c_1100_0^3 - 163544/2025*c_1100_0^2 - 123772/2025*c_1100_0 + 83872/2025, c_0011_0 - 1, c_0011_10 + 8/45*c_1100_0^10 + 7/15*c_1100_0^9 + 67/45*c_1100_0^8 + 106/45*c_1100_0^7 + 43/15*c_1100_0^6 + 121/45*c_1100_0^5 - 37/45*c_1100_0^4 - 17/9*c_1100_0^3 - 97/45*c_1100_0^2 - 2/9*c_1100_0 + 47/45, c_0011_11 + 1/225*c_1100_0^10 + 8/225*c_1100_0^8 - 7/225*c_1100_0^7 + 2/15*c_1100_0^6 - 52/225*c_1100_0^5 + 103/225*c_1100_0^4 + 2/45*c_1100_0^3 + 196/225*c_1100_0^2 + 58/225*c_1100_0 - 113/225, c_0011_12 + 67/225*c_1100_0^10 + 8/15*c_1100_0^9 + 521/225*c_1100_0^8 + 521/225*c_1100_0^7 + 22/5*c_1100_0^6 + 356/225*c_1100_0^5 - 269/225*c_1100_0^4 - 151/45*c_1100_0^3 - 818/225*c_1100_0^2 - 44/225*c_1100_0 + 274/225, c_0011_3 + 1, c_0011_7 + 1/3*c_1100_0^10 + 4/5*c_1100_0^9 + 46/15*c_1100_0^8 + 64/15*c_1100_0^7 + 36/5*c_1100_0^6 + 79/15*c_1100_0^5 + 23/15*c_1100_0^4 - 11/3*c_1100_0^3 - 14/3*c_1100_0^2 - 28/15*c_1100_0 + 17/15, c_0101_0 + 113/225*c_1100_0^10 + c_1100_0^9 + 904/225*c_1100_0^8 + 1009/225*c_1100_0^7 + 121/15*c_1100_0^6 + 874/225*c_1100_0^5 - 61/225*c_1100_0^4 - 224/45*c_1100_0^3 - 1027/225*c_1100_0^2 - 196/225*c_1100_0 + 281/225, c_0101_10 - 67/225*c_1100_0^10 - 8/15*c_1100_0^9 - 521/225*c_1100_0^8 - 521/225*c_1100_0^7 - 22/5*c_1100_0^6 - 356/225*c_1100_0^5 + 269/225*c_1100_0^4 + 151/45*c_1100_0^3 + 818/225*c_1100_0^2 + 44/225*c_1100_0 - 274/225, c_0101_11 - 7/225*c_1100_0^10 - 4/15*c_1100_0^9 - 161/225*c_1100_0^8 - 446/225*c_1100_0^7 - 8/3*c_1100_0^6 - 881/225*c_1100_0^5 - 511/225*c_1100_0^4 - 29/45*c_1100_0^3 + 428/225*c_1100_0^2 + 209/225*c_1100_0 + 131/225, c_0101_3 + 113/225*c_1100_0^10 + c_1100_0^9 + 904/225*c_1100_0^8 + 1009/225*c_1100_0^7 + 121/15*c_1100_0^6 + 874/225*c_1100_0^5 - 61/225*c_1100_0^4 - 224/45*c_1100_0^3 - 1027/225*c_1100_0^2 + 29/225*c_1100_0 + 281/225, c_0110_11 - 1, c_1001_10 - 8/225*c_1100_0^10 - 4/15*c_1100_0^9 - 169/225*c_1100_0^8 - 439/225*c_1100_0^7 - 14/5*c_1100_0^6 - 829/225*c_1100_0^5 - 614/225*c_1100_0^4 + 14/45*c_1100_0^3 + 232/225*c_1100_0^2 + 376/225*c_1100_0 + 19/225, c_1100_0^11 + 2*c_1100_0^10 + 8*c_1100_0^9 + 9*c_1100_0^8 + 16*c_1100_0^7 + 8*c_1100_0^6 - c_1100_0^5 - 9*c_1100_0^4 - 9*c_1100_0^3 + 3*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.450 Total time: 0.670 seconds, Total memory usage: 32.09MB