Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 3204391571] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0008 geometric_solution 3.54672353 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 4.588062489943 0.530341119887 0 1 1 0 0132 3201 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.464541907865 0.026759463391 0 3 3 0 3201 0132 3201 0132 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 -1 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 -0.293470399717 0.101300538557 2 2 4 4 2310 0132 0132 2310 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 -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 1.915428990281 1.173491559707 3 5 6 3 3201 0132 0132 0132 0 0 0 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 0 1 -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 0 0 0.782630943363 0.416670415598 6 4 6 6 2031 0132 1302 3201 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 -1 0 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 0.516959520562 0.512642121860 5 5 5 4 2031 2310 1302 0132 0 0 0 0 0 0 0 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 0 1 -1 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 0.516959520562 0.512642121860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1805967/159572*c_0110_5^10 + 1470921/159572*c_0110_5^9 - 20756829/159572*c_0110_5^8 + 61948367/159572*c_0110_5^7 + 1792737/39893*c_0110_5^6 - 119499491/159572*c_0110_5^5 + 2578679/39893*c_0110_5^4 + 18306852/39893*c_0110_5^3 + 2028755/22796*c_0110_5^2 - 6719907/159572*c_0110_5 - 2808537/79786, c_0011_0 - 1, c_0011_2 + 158639/22796*c_0110_5^10 - 36252/5699*c_0110_5^9 + 469294/5699*c_0110_5^8 - 2840525/11398*c_0110_5^7 + 424789/22796*c_0110_5^6 + 8831961/22796*c_0110_5^5 - 999031/22796*c_0110_5^4 - 2286787/11398*c_0110_5^3 - 1613881/22796*c_0110_5^2 + 27391/5699*c_0110_5 + 174945/22796, c_0011_4 - 39403/22796*c_0110_5^10 + 17133/11398*c_0110_5^9 - 230005/11398*c_0110_5^8 + 346229/5699*c_0110_5^7 + 15525/22796*c_0110_5^6 - 2380441/22796*c_0110_5^5 + 233541/22796*c_0110_5^4 + 662177/11398*c_0110_5^3 + 364629/22796*c_0110_5^2 - 33859/11398*c_0110_5 - 51143/22796, c_0101_0 + 146527/22796*c_0110_5^10 - 125085/22796*c_0110_5^9 + 1719493/22796*c_0110_5^8 - 5133055/22796*c_0110_5^7 - 412/5699*c_0110_5^6 + 8451499/22796*c_0110_5^5 - 143347/5699*c_0110_5^4 - 1155425/5699*c_0110_5^3 - 1519773/22796*c_0110_5^2 + 161507/22796*c_0110_5 + 78979/11398, c_0101_1 + 13277/5699*c_0110_5^10 - 53071/22796*c_0110_5^9 + 634287/22796*c_0110_5^8 - 1955899/22796*c_0110_5^7 + 325713/22796*c_0110_5^6 + 1448663/11398*c_0110_5^5 - 596111/22796*c_0110_5^4 - 716917/11398*c_0110_5^3 - 106749/5699*c_0110_5^2 + 77153/22796*c_0110_5 + 61563/22796, c_0101_3 + 57673/22796*c_0110_5^10 - 28817/11398*c_0110_5^9 + 343451/11398*c_0110_5^8 - 530693/5699*c_0110_5^7 + 331305/22796*c_0110_5^6 + 3206579/22796*c_0110_5^5 - 638499/22796*c_0110_5^4 - 845313/11398*c_0110_5^3 - 405255/22796*c_0110_5^2 + 65075/11398*c_0110_5 + 55033/22796, c_0110_5^11 + 11*c_0110_5^9 - 25*c_0110_5^8 - 30*c_0110_5^7 + 58*c_0110_5^6 + 45*c_0110_5^5 - 35*c_0110_5^4 - 37*c_0110_5^3 - 8*c_0110_5^2 + 2*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB