Magma V2.19-8 Mon Sep 16 2013 21:25:49 on localhost [Seed = 861327072] Type ? for help. Type -D to quit. Loading file "m135__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m135 geometric_solution 3.66386238 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 1 1 2 2 0132 3201 0132 3201 0 0 0 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 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 0.500000000000 0.500000000000 0 3 0 3 0132 0132 2310 1023 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 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 1.000000000000 1.000000000000 3 0 3 0 2310 2310 3201 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 2 1 2 1 2310 0132 3201 1023 0 0 0 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 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 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0201_1'], 'c_1020_3' : d['c_0102_0'], 'c_1020_0' : d['c_0102_3'], 'c_1020_1' : d['c_0120_3'], 'c_0201_0' : d['c_0102_3'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0120_3'], 'c_0201_3' : d['c_0102_0'], 'c_2100_0' : d['c_0012_0'], 'c_2100_1' : d['c_0012_1'], 'c_2100_2' : d['c_0012_0'], 'c_2100_3' : d['c_0012_0'], 'c_2010_2' : d['c_0102_1'], 'c_2010_3' : d['c_0102_3'], 'c_2010_0' : d['c_0102_0'], 'c_2010_1' : d['c_0102_2'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_2'], 'c_0102_3' : d['c_0102_3'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : d['c_1011_0'], 'c_1101_2' : negation(d['c_0111_3']), 'c_1101_3' : negation(d['c_0111_2']), 'c_1200_2' : d['c_0012_1'], 'c_1200_3' : d['c_0012_1'], 'c_1200_0' : d['c_0012_1'], 'c_1200_1' : d['c_0012_0'], 'c_1110_2' : d['c_1101_0'], 'c_1110_3' : negation(d['c_1110_1']), 'c_1110_0' : negation(d['c_1011_2']), 'c_1110_1' : d['c_1110_1'], 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0102_0'], 'c_0120_2' : d['c_0102_0'], 'c_0120_3' : d['c_0120_3'], 'c_2001_0' : d['c_0102_1'], 'c_2001_1' : d['c_0102_3'], 'c_2001_2' : d['c_0102_3'], 'c_2001_3' : d['c_0102_2'], 'c_0012_2' : d['c_0012_0'], 'c_0012_3' : d['c_0012_0'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']), 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0102_3'], 'c_0210_3' : d['c_0102_2'], 'c_0210_0' : d['c_0201_1'], 'c_0210_1' : d['c_0102_3'], 'c_1002_2' : d['c_0102_0'], 'c_1002_3' : d['c_0120_3'], 'c_1002_0' : d['c_0201_1'], 'c_1002_1' : d['c_0102_0'], 'c_1011_2' : d['c_1011_2'], 'c_1011_3' : negation(d['c_1011_1']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'], 'c_0021_1' : d['c_0012_0'], 'c_0021_2' : d['c_0012_1'], 'c_0021_3' : d['c_0012_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 306.720 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_0201_1^7 - 9/2*t*c_0201_1^6*c_1110_1 + 5/2*t*c_0201_1^6 - 9*t*c_0201_1^5*c_1110_1 - 6*t*c_0201_1^5 + 3/2*t*c_0201_1^4*c_1110_1 - 23/2*t*c_0201_1^4 + 6*t*c_0201_1^3*c_1110_1 - 2*t*c_0201_1^3 + t*c_0201_1^2*c_1110_1 + t*c_0201_1^2 - 1/2*c_1110_1 + 1/2, c_0012_0 - 1, c_0012_1 - c_0201_1*c_1110_1 + c_0201_1 - c_1110_1, c_0102_0 + c_0201_1*c_1110_1 + 1, c_0102_1 - c_0201_1, c_0102_2 + c_0201_1*c_1110_1 + c_1110_1 + 1, c_0102_3 - c_0201_1 + c_1110_1, c_0111_0 - 1, c_0111_2 - 1, c_0111_3 - c_1110_1, c_0120_3 + c_0201_1*c_1110_1 + c_1110_1 + 1, c_1011_0 - c_1110_1, c_1011_1 + 1, c_1011_2 - 1, c_1101_0 + c_1110_1, c_1110_1^2 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_0201_1^6 + 3*t*c_0201_1^5*c_1101_0 - 3*t*c_0201_1^5 - 7*t*c_0201_1^4*c_1101_0 + 4*t*c_0201_1^3*c_1101_0 + 4*t*c_0201_1^3 - 2*t*c_0201_1^2 - c_1101_0, c_0012_0 - 1, c_0012_1 + c_1101_0, c_0102_0 - c_0201_1*c_1101_0 + 1, c_0102_1 - c_0201_1, c_0102_2 + c_0201_1 + c_1101_0 - 1, c_0102_3 + c_0201_1*c_1101_0 - c_1101_0, c_0111_0 - 1, c_0111_2 - c_1101_0, c_0111_3 + 1, c_0120_3 + c_0201_1 + c_1101_0 - 1, c_1011_0 + c_1101_0, c_1011_1 + c_1101_0, c_1011_2 - 1, c_1101_0^2 + 1, c_1110_1 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ t*c_0201_1^6 + 2*t*c_0201_1^5 + t*c_0201_1^4 - 1, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + c_0201_1 + 1, c_0102_1 - c_0201_1, c_0102_2 - c_0201_1, c_0102_3 + c_0201_1 + 1, c_0111_0 - 1, c_0111_2 + 1, c_0111_3 - 1, c_0120_3 - c_0201_1, c_1011_0 + 1, c_1011_1 - 1, c_1011_2 - 1, c_1101_0 - 1, c_1110_1 - 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/4, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + c_1110_1, c_0102_1 - c_1110_1 - 1, c_0102_2 + c_1110_1 + 1, c_0102_3 + c_1110_1, c_0111_0 - 1, c_0111_2 - c_1110_1, c_0111_3 + c_1110_1, c_0120_3 + c_1110_1 + 1, c_0201_1 - c_1110_1 - 1, c_1011_0 + 1, c_1011_1 - c_1110_1, c_1011_2 + 1, c_1101_0 + 1, c_1110_1^2 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 9/2*c_1110_1^3 + 11*c_1110_1^2 + 9/2*c_1110_1 - 8, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + c_1110_1^3 + 3*c_1110_1^2 + 2*c_1110_1 - 2, c_0102_1 + 1, c_0102_2 - 1, c_0102_3 - c_1110_1^2 - c_1110_1, c_0111_0 - 1, c_0111_2 + c_1110_1^3 + 2*c_1110_1^2 + c_1110_1 - 1, c_0111_3 + c_1110_1, c_0120_3 - 1, c_0201_1 + 1, c_1011_0 + c_1110_1^2 + c_1110_1 - 1, c_1011_1 + c_1110_1^3 + 2*c_1110_1^2 + c_1110_1 - 1, c_1011_2 + 1, c_1101_0 + c_1110_1^2 + c_1110_1 - 1, c_1110_1^4 + 2*c_1110_1^3 - 2*c_1110_1 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 80*c_1101_0*c_1110_1 + 48*c_1101_0 - 14*c_1110_1 - 158, c_0012_0 - 1, c_0012_1 + c_1101_0, c_0102_0 + 1/2*c_1101_0*c_1110_1 + 1/2*c_1101_0 - 1/2*c_1110_1 - 1/2, c_0102_1 + 1/2*c_1101_0*c_1110_1 + 1/2*c_1101_0 - 1/2*c_1110_1 - 1/2, c_0102_2 - 1/2*c_1101_0*c_1110_1 - 1/2*c_1101_0 + 1/2*c_1110_1 + 1/2, c_0102_3 + 1/2*c_1101_0*c_1110_1 + 1/2*c_1101_0 - 1/2*c_1110_1 - 1/2, c_0111_0 - 1, c_0111_2 + c_1101_0*c_1110_1, c_0111_3 + c_1110_1, c_0120_3 - 1/2*c_1101_0*c_1110_1 - 1/2*c_1101_0 + 1/2*c_1110_1 + 1/2, c_0201_1 + 1/2*c_1101_0*c_1110_1 + 1/2*c_1101_0 - 1/2*c_1110_1 - 1/2, c_1011_0 - c_1101_0, c_1011_1 + c_1101_0*c_1110_1, c_1011_2 + 1, c_1101_0^2 - c_1101_0*c_1110_1 - c_1101_0 + 1, c_1110_1^2 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 28/295*c_1110_1^7 + 1536/295*c_1110_1^6 - 1381/59*c_1110_1^5 - 5691/590*c_1110_1^4 + 47961/295*c_1110_1^3 + 15818/59*c_1110_1^2 + 20133/295*c_1110_1 + 4523/590, c_0012_0 - 1, c_0012_1 + 161/295*c_1110_1^7 - 1004/295*c_1110_1^6 + 174/59*c_1110_1^5 + 5656/295*c_1110_1^4 + 1681/295*c_1110_1^3 - 1308/59*c_1110_1^2 + 1899/295*c_1110_1 + 814/295, c_0102_0 - 2086/5015*c_1110_1^7 + 12989/5015*c_1110_1^6 - 2268/1003*c_1110_1^5 - 72321/5015*c_1110_1^4 - 384/85*c_1110_1^3 + 15362/1003*c_1110_1^2 - 501/85*c_1110_1 - 2434/5015, c_0102_1 - 4462/5015*c_1110_1^7 + 27892/5015*c_1110_1^6 - 4929/1003*c_1110_1^5 - 155467/5015*c_1110_1^4 - 45993/5015*c_1110_1^3 + 35968/1003*c_1110_1^2 - 52278/5015*c_1110_1 - 14282/5015, c_0102_2 - 345/1003*c_1110_1^7 + 10824/5015*c_1110_1^6 - 1971/1003*c_1110_1^5 - 11863/1003*c_1110_1^4 - 17416/5015*c_1110_1^3 + 13732/1003*c_1110_1^2 - 3999/1003*c_1110_1 - 5459/5015, c_0102_3 - 651/5015*c_1110_1^7 + 4079/5015*c_1110_1^6 - 690/1003*c_1110_1^5 - 23831/5015*c_1110_1^4 - 5921/5015*c_1110_1^3 + 6874/1003*c_1110_1^2 - 2724/5015*c_1110_1 - 6389/5015, c_0111_0 - 1, c_0111_2 - 74/1003*c_1110_1^7 + 2459/5015*c_1110_1^6 - 621/1003*c_1110_1^5 - 2237/1003*c_1110_1^4 + 89/5015*c_1110_1^3 + 2603/1003*c_1110_1^2 - 1902/1003*c_1110_1 + 596/5015, c_0111_3 + c_1110_1, c_0120_3 - 345/1003*c_1110_1^7 + 10824/5015*c_1110_1^6 - 1971/1003*c_1110_1^5 - 11863/1003*c_1110_1^4 - 17416/5015*c_1110_1^3 + 13732/1003*c_1110_1^2 - 3999/1003*c_1110_1 - 5459/5015, c_0201_1 - 4462/5015*c_1110_1^7 + 27892/5015*c_1110_1^6 - 4929/1003*c_1110_1^5 - 155467/5015*c_1110_1^4 - 45993/5015*c_1110_1^3 + 35968/1003*c_1110_1^2 - 52278/5015*c_1110_1 - 14282/5015, c_1011_0 + 248/1003*c_1110_1^7 - 7963/5015*c_1110_1^6 + 1613/1003*c_1110_1^5 + 8511/1003*c_1110_1^4 + 5507/5015*c_1110_1^3 - 11093/1003*c_1110_1^2 + 3629/1003*c_1110_1 + 2333/5015, c_1011_1 - 74/1003*c_1110_1^7 + 2459/5015*c_1110_1^6 - 621/1003*c_1110_1^5 - 2237/1003*c_1110_1^4 + 89/5015*c_1110_1^3 + 2603/1003*c_1110_1^2 - 1902/1003*c_1110_1 + 596/5015, c_1011_2 + 1, c_1101_0 + 248/1003*c_1110_1^7 - 7963/5015*c_1110_1^6 + 1613/1003*c_1110_1^5 + 8511/1003*c_1110_1^4 + 5507/5015*c_1110_1^3 - 11093/1003*c_1110_1^2 + 3629/1003*c_1110_1 + 2333/5015, c_1110_1^8 - 6*c_1110_1^7 + 4*c_1110_1^6 + 36*c_1110_1^5 + 19*c_1110_1^4 - 36*c_1110_1^3 + 4*c_1110_1^2 + 6*c_1110_1 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0102_2, c_0102_3, c_0111_0, c_0111_2, c_0111_3, c_0120_3, c_0201_1, c_1011_0, c_1011_1, c_1011_2, c_1101_0, c_1110_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 323/16*c_1110_1^7 + 1441/16*c_1110_1^6 - 3237/16*c_1110_1^5 + 681/4*c_1110_1^4 + 2137/16*c_1110_1^3 - 2499/16*c_1110_1^2 - 1345/16*c_1110_1 - 321/8, c_0012_0 - 1, c_0012_1 - 1, c_0102_0 + 1/2*c_1110_1^7 - 5/2*c_1110_1^6 + 13/2*c_1110_1^5 - 8*c_1110_1^4 + 3/2*c_1110_1^3 + 7/2*c_1110_1^2 - 1/2*c_1110_1, c_0102_1 - 1/4*c_1110_1^7 + 5/4*c_1110_1^6 - 13/4*c_1110_1^5 + 17/4*c_1110_1^4 - 7/4*c_1110_1^3 + 3/4*c_1110_1^2 - 11/4*c_1110_1 - 1/4, c_0102_2 + 5/4*c_1110_1^7 - 21/4*c_1110_1^6 + 45/4*c_1110_1^5 - 33/4*c_1110_1^4 - 33/4*c_1110_1^3 + 13/4*c_1110_1^2 + 39/4*c_1110_1 + 17/4, c_0102_3 + 1/2*c_1110_1^7 - 5/2*c_1110_1^6 + 13/2*c_1110_1^5 - 8*c_1110_1^4 + 3/2*c_1110_1^3 + 7/2*c_1110_1^2 - 1/2*c_1110_1, c_0111_0 - 1, c_0111_2 - c_1110_1, c_0111_3 + 1/4*c_1110_1^7 - 5/4*c_1110_1^6 + 11/4*c_1110_1^5 - 9/4*c_1110_1^4 - 13/4*c_1110_1^3 + 17/4*c_1110_1^2 + 5/4*c_1110_1 - 3/4, c_0120_3 - 3/4*c_1110_1^7 + 13/4*c_1110_1^6 - 27/4*c_1110_1^5 + 17/4*c_1110_1^4 + 31/4*c_1110_1^3 - 21/4*c_1110_1^2 - 25/4*c_1110_1 - 9/4, c_0201_1 - 1/4*c_1110_1^7 + 3/4*c_1110_1^6 - 5/4*c_1110_1^5 - 1/4*c_1110_1^4 + 9/4*c_1110_1^3 + 5/4*c_1110_1^2 - 3/4*c_1110_1 - 7/4, c_1011_0 + 1/4*c_1110_1^7 - 3/4*c_1110_1^6 + 5/4*c_1110_1^5 + 3/4*c_1110_1^4 - 13/4*c_1110_1^3 + 3/4*c_1110_1^2 + 7/4*c_1110_1 + 1/4, c_1011_1 - 1/4*c_1110_1^7 + 5/4*c_1110_1^6 - 11/4*c_1110_1^5 + 9/4*c_1110_1^4 + 13/4*c_1110_1^3 - 17/4*c_1110_1^2 - 5/4*c_1110_1 + 3/4, c_1011_2 + 1/4*c_1110_1^7 - 3/4*c_1110_1^6 + 5/4*c_1110_1^5 + 3/4*c_1110_1^4 - 13/4*c_1110_1^3 + 3/4*c_1110_1^2 + 7/4*c_1110_1 + 1/4, c_1101_0 + 1, c_1110_1^8 - 4*c_1110_1^7 + 8*c_1110_1^6 - 4*c_1110_1^5 - 10*c_1110_1^4 + 4*c_1110_1^3 + 8*c_1110_1^2 + 4*c_1110_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0201_1" ], [ "c_0201_1" ], [ "c_0201_1" ], [ ], [ ], [ ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 306.720 Total time: 306.930 seconds, Total memory usage: 448.97MB