Magma V2.19-8 Tue Aug 20 2013 16:16:27 on localhost [Seed = 2446331263] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0728 geometric_solution 4.67689235 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 1 0 -1 -1 0 0 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 1.182016208052 1.351923470727 0 4 5 2 0132 0132 0132 1302 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 0 0 0 0 0 0 0 1 0 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 0.580236294995 0.384276186371 5 0 1 4 0213 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.296088004329 1.186514578479 0 6 6 0 3201 0132 3201 0132 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 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.325254825637 0.253993882587 2 1 4 4 3012 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 0 0 0 -1 0 1 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 0.608100584160 0.241501647402 2 6 6 1 0213 3201 0132 0132 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 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 -0.097814687189 0.726517560212 3 3 5 5 2310 0132 2310 0132 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 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 2.909852974992 1.491418217510 ==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_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' : 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_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0110_4']), '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_3, c_0011_5, c_0101_0, c_0101_4, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 38933/5121*c_0110_4^9 - 129154/5121*c_0110_4^8 + 39914/5121*c_0110_4^7 + 343784/5121*c_0110_4^6 - 130148/1707*c_0110_4^5 - 313024/5121*c_0110_4^4 + 170440/5121*c_0110_4^3 + 69614/1707*c_0110_4^2 - 172522/5121*c_0110_4 - 67990/5121, c_0011_0 - 1, c_0011_3 + 177/569*c_0110_4^9 - 586/569*c_0110_4^8 + 31/569*c_0110_4^7 + 2072/569*c_0110_4^6 - 2005/569*c_0110_4^5 - 2642/569*c_0110_4^4 + 2451/569*c_0110_4^3 + 1355/569*c_0110_4^2 - 984/569*c_0110_4 - 611/569, c_0011_5 - 950/1707*c_0110_4^9 + 3277/1707*c_0110_4^8 - 1658/1707*c_0110_4^7 - 7334/1707*c_0110_4^6 + 3361/569*c_0110_4^5 + 4414/1707*c_0110_4^4 - 1669/1707*c_0110_4^3 - 1403/569*c_0110_4^2 + 4153/1707*c_0110_4 + 1402/1707, c_0101_0 - 950/1707*c_0110_4^9 + 3277/1707*c_0110_4^8 - 1658/1707*c_0110_4^7 - 7334/1707*c_0110_4^6 + 3361/569*c_0110_4^5 + 4414/1707*c_0110_4^4 - 1669/1707*c_0110_4^3 - 1403/569*c_0110_4^2 + 4153/1707*c_0110_4 + 1402/1707, c_0101_4 + 25/1707*c_0110_4^9 - 221/1707*c_0110_4^8 + 403/1707*c_0110_4^7 + 193/1707*c_0110_4^6 - 343/569*c_0110_4^5 - 206/1707*c_0110_4^4 + 1706/1707*c_0110_4^3 + 561/569*c_0110_4^2 - 1412/1707*c_0110_4 + 592/1707, c_0101_6 + 177/569*c_0110_4^9 - 586/569*c_0110_4^8 + 31/569*c_0110_4^7 + 2072/569*c_0110_4^6 - 2005/569*c_0110_4^5 - 2642/569*c_0110_4^4 + 2451/569*c_0110_4^3 + 1355/569*c_0110_4^2 - 984/569*c_0110_4 - 611/569, c_0110_4^10 - 3*c_0110_4^9 + 9*c_0110_4^7 - 7*c_0110_4^6 - 11*c_0110_4^5 + c_0110_4^4 + 7*c_0110_4^3 - 2*c_0110_4^2 - 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB