Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 3819077612] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s561 geometric_solution 5.00189068 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 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 1 0 -1 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 1.034109172655 0.973054482001 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 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 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 0.899240896313 0.793773488862 4 3 0 1 2310 3201 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899240896313 0.793773488862 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797077244934 0.423284663522 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539747847983 0.835015856557 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600910216516 0.138845697075 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_5' : negation(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_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), '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' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], '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_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 788555/1079*c_0110_5^10 + 1374691/1079*c_0110_5^9 - 2593467/1079*c_0110_5^8 + 7440730/1079*c_0110_5^7 + 5523633/1079*c_0110_5^6 - 8092846/1079*c_0110_5^5 + 1224257/1079*c_0110_5^4 - 5613498/1079*c_0110_5^3 - 554174/1079*c_0110_5^2 + 3606475/1079*c_0110_5 - 1078241/1079, c_0011_0 - 1, c_0011_1 - 4639/83*c_0110_5^10 + 8021/83*c_0110_5^9 - 15184/83*c_0110_5^8 + 43611/83*c_0110_5^7 + 32990/83*c_0110_5^6 - 46775/83*c_0110_5^5 + 6912/83*c_0110_5^4 - 33006/83*c_0110_5^3 - 3691/83*c_0110_5^2 + 20888/83*c_0110_5 - 6150/83, c_0101_0 + 4663/83*c_0110_5^10 - 8101/83*c_0110_5^9 + 15308/83*c_0110_5^8 - 43930/83*c_0110_5^7 - 32886/83*c_0110_5^6 + 47510/83*c_0110_5^5 - 7238/83*c_0110_5^4 + 33302/83*c_0110_5^3 + 3587/83*c_0110_5^2 - 21101/83*c_0110_5 + 6350/83, c_0101_1 + 490/83*c_0110_5^10 - 914/83*c_0110_5^9 + 1674/83*c_0110_5^8 - 4763/83*c_0110_5^7 - 2995/83*c_0110_5^6 + 5814/83*c_0110_5^5 - 998/83*c_0110_5^4 + 3415/83*c_0110_5^3 - 76/83*c_0110_5^2 - 2502/83*c_0110_5 + 874/83, c_0101_4 + 3192/83*c_0110_5^10 - 5577/83*c_0110_5^9 + 10516/83*c_0110_5^8 - 30143/83*c_0110_5^7 - 22273/83*c_0110_5^6 + 32932/83*c_0110_5^5 - 5178/83*c_0110_5^4 + 22685/83*c_0110_5^3 + 2104/83*c_0110_5^2 - 14717/83*c_0110_5 + 4439/83, c_0110_5^11 - c_0110_5^10 + 2*c_0110_5^9 - 7*c_0110_5^8 - 14*c_0110_5^7 + 5*c_0110_5^6 + 6*c_0110_5^5 + 6*c_0110_5^4 + 6*c_0110_5^3 - 4*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