Magma V2.19-8 Tue Aug 20 2013 16:14:37 on localhost [Seed = 2513701267] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s604 geometric_solution 5.08455206 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 1 0 -1 0 0 1 -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 0.447451042009 0.484874405545 0 3 2 4 0132 0132 1230 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 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 0.972122714673 1.113845629811 3 0 4 1 3201 0132 2310 3012 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 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 0.972122714673 1.113845629811 3 1 3 2 2031 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094908173582 0.948843698853 5 2 1 5 0132 3201 0132 1023 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 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 0.719339300953 0.503489913223 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 0 1 -1 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 1.601433382048 0.542933205934 ==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' : 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_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_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), '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_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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), '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_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1465751/2249592*c_0101_5^17 - 17566217/2249592*c_0101_5^15 - 3839213/187466*c_0101_5^13 + 100737497/2249592*c_0101_5^11 + 231623653/2249592*c_0101_5^9 - 37231279/281199*c_0101_5^7 + 10627910/281199*c_0101_5^5 - 181655723/2249592*c_0101_5^3 + 67653287/2249592*c_0101_5, c_0011_0 - 1, c_0011_4 - 671797/374932*c_0101_5^16 - 6268923/374932*c_0101_5^14 - 1234012/93733*c_0101_5^12 + 55044627/374932*c_0101_5^10 - 43266277/374932*c_0101_5^8 + 3824280/93733*c_0101_5^6 - 7390732/93733*c_0101_5^4 + 3966355/374932*c_0101_5^2 - 223959/374932, c_0101_0 + 88091/93733*c_0101_5^16 + 833470/93733*c_0101_5^14 + 753443/93733*c_0101_5^12 - 7143274/93733*c_0101_5^10 + 4690249/93733*c_0101_5^8 - 1291141/93733*c_0101_5^6 + 3829297/93733*c_0101_5^4 - 48489/93733*c_0101_5^2 - 34419/93733, c_0101_1 + 140902/93733*c_0101_5^17 + 1252872/93733*c_0101_5^15 + 448429/93733*c_0101_5^13 - 12084876/93733*c_0101_5^11 + 14044996/93733*c_0101_5^9 - 6579114/93733*c_0101_5^7 + 7258815/93733*c_0101_5^5 - 3404525/93733*c_0101_5^3 + 217629/93733*c_0101_5, c_0101_2 - 260313/374932*c_0101_5^17 - 2383155/374932*c_0101_5^15 - 377804/93733*c_0101_5^13 + 21406507/374932*c_0101_5^11 - 20759649/374932*c_0101_5^9 + 2791139/93733*c_0101_5^7 - 3501343/93733*c_0101_5^5 + 3534351/374932*c_0101_5^3 - 1240203/374932*c_0101_5, c_0101_5^18 + 8*c_0101_5^16 - 5*c_0101_5^14 - 91*c_0101_5^12 + 174*c_0101_5^10 - 115*c_0101_5^8 + 80*c_0101_5^6 - 67*c_0101_5^4 + 12*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB