Magma V2.19-8 Tue Aug 20 2013 16:16:59 on localhost [Seed = 1191631763] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1245 geometric_solution 5.14185044 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 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103837195872 0.856637216207 3 2 4 0 0132 3012 0132 0132 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 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889543800993 1.330004320020 1 3 0 4 1230 2310 0132 2310 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 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 0.889543800993 1.330004320020 1 3 3 2 0132 3201 2310 3201 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 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 0.634186813584 0.451789923302 2 5 5 1 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 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 0.173618105234 0.330132707891 4 4 6 6 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.494336941381 2.088765764198 6 5 5 6 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.521069053338 0.189359712220 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), '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' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 2/5*c_0101_1^2 + 3/5*c_0101_1 - 4/5, c_0011_0 - 1, c_0011_1 - c_0101_1^2 + 2*c_0101_1 - 2, c_0011_4 - c_0101_1 + 2, c_0011_6 - c_0101_1^2 + 3*c_0101_1 - 4, c_0101_0 - c_0101_1^2 + 3*c_0101_1 - 3, c_0101_1^3 - 4*c_0101_1^2 + 7*c_0101_1 - 5, c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 35342228/1380555*c_0101_5^8 + 2913316/125505*c_0101_5^7 - 209085689/1380555*c_0101_5^6 + 5835449/41835*c_0101_5^5 - 512464637/1380555*c_0101_5^4 + 588518551/1380555*c_0101_5^3 - 40084588/125505*c_0101_5^2 + 90904265/276111*c_0101_5 + 358972117/1380555, c_0011_0 - 1, c_0011_1 - 38/2789*c_0101_5^8 - 28/2789*c_0101_5^7 - 717/2789*c_0101_5^6 + 157/2789*c_0101_5^5 - 1912/2789*c_0101_5^4 + 2354/2789*c_0101_5^3 - 3049/2789*c_0101_5^2 + 5952/2789*c_0101_5 + 698/2789, c_0011_4 + 3/2789*c_0101_5^8 + 149/2789*c_0101_5^7 + 130/2789*c_0101_5^6 + 61/2789*c_0101_5^5 - 583/2789*c_0101_5^4 - 773/2789*c_0101_5^3 - 1007/2789*c_0101_5^2 - 1791/2789*c_0101_5 + 1266/2789, c_0011_6 + 181/2789*c_0101_5^8 - 307/2789*c_0101_5^7 + 406/2789*c_0101_5^6 - 968/2789*c_0101_5^5 + 153/2789*c_0101_5^4 - 1084/2789*c_0101_5^3 - 1257/2789*c_0101_5^2 + 3503/2789*c_0101_5 - 1710/2789, c_0101_0 + 101/2789*c_0101_5^8 + 368/2789*c_0101_5^7 + 658/2789*c_0101_5^6 + 1124/2789*c_0101_5^5 + 825/2789*c_0101_5^4 + 936/2789*c_0101_5^3 - 1364/2789*c_0101_5^2 - 1728/2789*c_0101_5 - 2002/2789, c_0101_1 - 507/2789*c_0101_5^8 - 80/2789*c_0101_5^7 - 2447/2789*c_0101_5^6 + 847/2789*c_0101_5^5 - 4666/2789*c_0101_5^4 + 5132/2789*c_0101_5^3 - 2735/2789*c_0101_5^2 + 7045/2789*c_0101_5 + 799/2789, c_0101_5^9 - c_0101_5^8 + 6*c_0101_5^7 - 6*c_0101_5^6 + 15*c_0101_5^5 - 18*c_0101_5^4 + 14*c_0101_5^3 - 14*c_0101_5^2 - 9*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB