Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 728414205] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1528 geometric_solution 5.32350086 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 -1 0 0 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 0.412234230979 0.498448323379 0 3 2 4 0132 0132 1230 0132 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 0 -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 0.602679063049 0.871973330759 3 0 4 1 3201 0132 0132 3012 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 0.602679063049 0.871973330759 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192532909877 1.157116379003 5 5 1 2 0132 2310 0132 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 0 0 0 -1 0 1 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 0.098807428513 1.806970687117 4 6 6 4 0132 0132 3201 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 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 -0.298123814409 0.341005402053 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2.645643613138 0.505007126882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2*c_0110_2^3 + 4*c_0110_2, c_0011_0 - 1, c_0011_4 + c_0110_2, c_0101_0 - 2*c_0110_2^2 + 2, c_0101_1 + 1, c_0101_2 + 2*c_0110_2^3 - 3*c_0110_2, c_0101_6 - 1, c_0110_2^4 - 2*c_0110_2^2 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 17959545270/2331083*c_0110_2^15 + 54553675623/2331083*c_0110_2^13 - 37632055292/2331083*c_0110_2^11 - 452963286251/2331083*c_0110_2^9 + 127311059664/2331083*c_0110_2^7 - 110486067904/2331083*c_0110_2^5 + 60846665322/2331083*c_0110_2^3 - 5370799103/2331083*c_0110_2, c_0011_0 - 1, c_0011_4 + 909147690/2331083*c_0110_2^15 + 2754418152/2331083*c_0110_2^13 - 1928280391/2331083*c_0110_2^11 - 22919534502/2331083*c_0110_2^9 + 6627771738/2331083*c_0110_2^7 - 5607937771/2331083*c_0110_2^5 + 3124748552/2331083*c_0110_2^3 - 289757295/2331083*c_0110_2, c_0101_0 + 210374694/2331083*c_0110_2^14 + 639469581/2331083*c_0110_2^12 - 439742222/2331083*c_0110_2^10 - 5307823213/2331083*c_0110_2^8 + 1480081556/2331083*c_0110_2^6 - 1284380330/2331083*c_0110_2^4 + 713505280/2331083*c_0110_2^2 - 61132373/2331083, c_0101_1 - 179106093/2331083*c_0110_2^14 - 542388708/2331083*c_0110_2^12 + 380863482/2331083*c_0110_2^10 + 4515672219/2331083*c_0110_2^8 - 1311832738/2331083*c_0110_2^6 + 1100021486/2331083*c_0110_2^4 - 619482147/2331083*c_0110_2^2 + 56360054/2331083, c_0101_2 + 21476250/2331083*c_0110_2^15 + 60194307/2331083*c_0110_2^13 - 61176028/2331083*c_0110_2^11 - 533766867/2331083*c_0110_2^9 + 280921002/2331083*c_0110_2^7 - 146451621/2331083*c_0110_2^5 + 98630165/2331083*c_0110_2^3 - 17579911/2331083*c_0110_2, c_0101_6 + 361292913/2331083*c_0110_2^14 + 1098276372/2331083*c_0110_2^12 - 754803042/2331083*c_0110_2^10 - 9114807936/2331083*c_0110_2^8 + 2540607437/2331083*c_0110_2^6 - 2211447202/2331083*c_0110_2^4 + 1218495578/2331083*c_0110_2^2 - 103457646/2331083, c_0110_2^16 + 8/3*c_0110_2^14 - 29/9*c_0110_2^12 - 220/9*c_0110_2^10 + 148/9*c_0110_2^8 - 79/9*c_0110_2^6 + 17/3*c_0110_2^4 - 14/9*c_0110_2^2 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB