Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 2530675603] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3474 geometric_solution 6.69751949 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.902793161572 1.004605839507 3 4 5 0 0132 0132 0132 0132 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 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 0.723765029438 0.867332034948 4 3 0 6 2310 3201 0132 0132 0 0 0 0 0 1 -1 0 1 0 0 -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 -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 0.723765029438 0.867332034948 1 6 2 5 0132 1302 2310 1302 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 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 0.846160839661 0.618547336036 4 1 2 4 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432830776865 0.679673673712 6 6 3 1 1230 3012 2031 0132 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 1 0 -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 0.229774865689 0.563037997796 5 5 2 3 1230 3012 0132 2031 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229774865689 0.563037997796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1010_3']), 'c_1100_5' : negation(d['c_1010_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1010_3']), 'c_1100_0' : negation(d['c_1010_3']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_1010_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1010_3'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_5, c_0011_6, c_0101_0, c_0101_4, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 163/2*c_0101_4^2*c_1010_3 + 132*c_0101_4^2 + 131/2*c_0101_4*c_1010_3 + 106*c_0101_4 - 71/2*c_1010_3 - 57, c_0011_0 - 1, c_0011_1 - 1/2*c_0101_4^2*c_1010_3 - 3/2*c_0101_4^2 - 1/2*c_0101_4 + 1/2*c_1010_3, c_0011_5 + c_0101_4^2*c_1010_3 + 1/2*c_0101_4^2 - 1/2*c_0101_4*c_1010_3 + 1/2*c_1010_3 - 1/2, c_0011_6 - c_0101_4^2*c_1010_3 - 1/2*c_0101_4^2 + 1/2*c_0101_4*c_1010_3 - 1/2*c_1010_3 + 1/2, c_0101_0 + c_1010_3, c_0101_4^3 + 2/5*c_0101_4^2*c_1010_3 + 1/5*c_0101_4^2 - c_0101_4*c_1010_3 - 1/5*c_1010_3 + 2/5, c_1010_3^2 + c_1010_3 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0011_6, c_0101_0, c_0101_4, c_1010_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 252228242371/36509278177*c_1010_3^10 - 1278230545447/36509278177*c_1010_3^9 + 104145677757/36509278177*c_1010_3^8 - 5439723340015/36509278177*c_1010_3^7 - 11493472442069/36509278177*c_1010_3^6 + 36949282290896/36509278177*c_1010_3^5 - 52179954309403/36509278177*c_1010_3^4 + 56124810923587/36509278177*c_1010_3^3 - 38555378800461/36509278177*c_1010_3^2 + 11443395169440/36509278177*c_1010_3 - 3992629949861/36509278177, c_0011_0 - 1, c_0011_1 + 3786325367/36509278177*c_1010_3^10 + 20232288722/36509278177*c_1010_3^9 + 3865466943/36509278177*c_1010_3^8 + 81610991438/36509278177*c_1010_3^7 + 192318088677/36509278177*c_1010_3^6 - 510630373330/36509278177*c_1010_3^5 + 623357348200/36509278177*c_1010_3^4 - 689521733391/36509278177*c_1010_3^3 + 344095027407/36509278177*c_1010_3^2 - 56339232387/36509278177*c_1010_3 + 5141040639/36509278177, c_0011_5 + 2901034704/36509278177*c_1010_3^10 + 18221624997/36509278177*c_1010_3^9 + 19936458018/36509278177*c_1010_3^8 + 79758316950/36509278177*c_1010_3^7 + 216455142453/36509278177*c_1010_3^6 - 196708402215/36509278177*c_1010_3^5 + 263854758663/36509278177*c_1010_3^4 - 334202923625/36509278177*c_1010_3^3 + 332048371/36509278177*c_1010_3^2 - 73821106250/36509278177*c_1010_3 - 6918964332/36509278177, c_0011_6 - 2901034704/36509278177*c_1010_3^10 - 18221624997/36509278177*c_1010_3^9 - 19936458018/36509278177*c_1010_3^8 - 79758316950/36509278177*c_1010_3^7 - 216455142453/36509278177*c_1010_3^6 + 196708402215/36509278177*c_1010_3^5 - 263854758663/36509278177*c_1010_3^4 + 334202923625/36509278177*c_1010_3^3 - 332048371/36509278177*c_1010_3^2 + 73821106250/36509278177*c_1010_3 + 6918964332/36509278177, c_0101_0 + 307035/1111969*c_1010_3^10 + 1912122/1111969*c_1010_3^9 + 1924803/1111969*c_1010_3^8 + 7847659/1111969*c_1010_3^7 + 22175958/1111969*c_1010_3^6 - 23711322/1111969*c_1010_3^5 + 24183250/1111969*c_1010_3^4 - 27096105/1111969*c_1010_3^3 - 4782894/1111969*c_1010_3^2 - 1302326/1111969*c_1010_3 - 1177992/1111969, c_0101_4 - 3324231138/36509278177*c_1010_3^10 - 17771594301/36509278177*c_1010_3^9 - 3081648319/36509278177*c_1010_3^8 - 69856555041/36509278177*c_1010_3^7 - 169903985384/36509278177*c_1010_3^6 + 451677623314/36509278177*c_1010_3^5 - 531426547628/36509278177*c_1010_3^4 + 542133213573/36509278177*c_1010_3^3 - 264556985181/36509278177*c_1010_3^2 + 37118099124/36509278177*c_1010_3 - 15248057103/36509278177, c_1010_3^11 + 6*c_1010_3^10 + 5*c_1010_3^9 + 25*c_1010_3^8 + 67*c_1010_3^7 - 90*c_1010_3^6 + 106*c_1010_3^5 - 121*c_1010_3^4 + 23*c_1010_3^3 - 19*c_1010_3^2 - c_1010_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB