Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 745386229] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0911 geometric_solution 4.80763249 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381100045267 0.053674909724 2 0 2 0 0132 2310 2310 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 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 -1.342836712701 1.140003632435 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 -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 0.249829290894 0.799277581114 4 5 4 2 1023 0132 1230 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457274695162 1.267552992930 5 3 2 3 2310 1023 0132 3012 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 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 0.457274695162 1.267552992930 6 3 4 6 0132 0132 3201 1023 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056058971727 0.342829248324 5 6 6 5 0132 3201 2310 1023 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 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 1.866194585731 1.039728135518 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_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_3, c_0101_1, c_0101_5, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 81027/800*c_0110_0^25 - 5399/100*c_0110_0^24 - 16061/8*c_0110_0^23 + 782213/800*c_0110_0^22 + 13972317/800*c_0110_0^21 - 6151781/800*c_0110_0^20 - 70117997/800*c_0110_0^19 + 274773/8*c_0110_0^18 + 11225647/40*c_0110_0^17 - 38417819/400*c_0110_0^16 - 479772261/800*c_0110_0^15 + 141129453/800*c_0110_0^14 + 87208321/100*c_0110_0^13 - 177236779/800*c_0110_0^12 - 695283231/800*c_0110_0^11 + 40336497/200*c_0110_0^10 + 476350743/800*c_0110_0^9 - 704664/5*c_0110_0^8 - 8975521/32*c_0110_0^7 + 1170743/16*c_0110_0^6 + 35248947/400*c_0110_0^5 - 4177093/160*c_0110_0^4 - 503909/32*c_0110_0^3 + 5466189/800*c_0110_0^2 + 27051/20*c_0110_0 - 685367/800, c_0011_0 - 1, c_0011_1 + c_0110_0^2 - 1, c_0011_3 + c_0110_0^25 - c_0110_0^24 - 19*c_0110_0^23 + 18*c_0110_0^22 + 158*c_0110_0^21 - 141*c_0110_0^20 - 755*c_0110_0^19 + 630*c_0110_0^18 + 2289*c_0110_0^17 - 1773*c_0110_0^16 - 4591*c_0110_0^15 + 3293*c_0110_0^14 + 6173*c_0110_0^13 - 4153*c_0110_0^12 - 5536*c_0110_0^11 + 3651*c_0110_0^10 + 3244*c_0110_0^9 - 2277*c_0110_0^8 - 1185*c_0110_0^7 + 973*c_0110_0^6 + 223*c_0110_0^5 - 259*c_0110_0^4 + 10*c_0110_0^3 + 42*c_0110_0^2 - 8*c_0110_0 - 1, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_5 - c_0110_0^4 + 3*c_0110_0^2 - 1, c_0101_6 - c_0110_0^23 - c_0110_0^22 + 20*c_0110_0^21 + 17*c_0110_0^20 - 172*c_0110_0^19 - 124*c_0110_0^18 + 834*c_0110_0^17 + 507*c_0110_0^16 - 2511*c_0110_0^15 - 1271*c_0110_0^14 + 4883*c_0110_0^13 + 1999*c_0110_0^12 - 6228*c_0110_0^11 - 1920*c_0110_0^10 + 5268*c_0110_0^9 + 1015*c_0110_0^8 - 3011*c_0110_0^7 - 197*c_0110_0^6 + 1149*c_0110_0^5 - 58*c_0110_0^4 - 256*c_0110_0^3 + 57*c_0110_0^2 + 32*c_0110_0 - 12, c_0110_0^26 - c_0110_0^25 - 20*c_0110_0^24 + 19*c_0110_0^23 + 176*c_0110_0^22 - 158*c_0110_0^21 - 896*c_0110_0^20 + 755*c_0110_0^19 + 2920*c_0110_0^18 - 2294*c_0110_0^17 - 6373*c_0110_0^16 + 4654*c_0110_0^15 + 9489*c_0110_0^14 - 6497*c_0110_0^13 - 9668*c_0110_0^12 + 6409*c_0110_0^11 + 6689*c_0110_0^10 - 4565*c_0110_0^9 - 3075*c_0110_0^8 + 2325*c_0110_0^7 + 872*c_0110_0^6 - 805*c_0110_0^5 - 100*c_0110_0^4 + 182*c_0110_0^3 - 15*c_0110_0^2 - 21*c_0110_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB