Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 678016245] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1453 geometric_solution 5.27249680 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.762846950448 0.903913095562 0 5 2 5 0132 0132 2031 2310 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 0 0 -1 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 1.785549269179 0.763147030818 3 0 4 1 1302 0132 2031 1302 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 1 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 0.454717634712 0.646116328411 6 2 6 0 0132 2031 2310 0132 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.419438834709 1.566998909758 4 4 0 2 1302 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.526984834114 0.385036025163 1 1 5 5 3201 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 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 0.354528696280 0.535340499018 3 3 6 6 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 1 0 -1 0 1 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 0.403486171427 0.102105920603 ==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_0101_0'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0110_5']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : negation(d['c_0110_4'])})} 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_4, c_0101_0, c_0101_3, c_0110_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 160*c_0110_5^19 - 1677*c_0110_5^18 + 6412*c_0110_5^17 - 7928*c_0110_5^16 - 13360*c_0110_5^15 + 46342*c_0110_5^14 - 15776*c_0110_5^13 - 78776*c_0110_5^12 + 66320*c_0110_5^11 + 75786*c_0110_5^10 - 80286*c_0110_5^9 - 62534*c_0110_5^8 + 54083*c_0110_5^7 + 47004*c_0110_5^6 - 18507*c_0110_5^5 - 24378*c_0110_5^4 - 1170*c_0110_5^3 + 5768*c_0110_5^2 + 2303*c_0110_5 + 271, c_0011_0 - 1, c_0011_3 - c_0110_5^19 + 10*c_0110_5^18 - 35*c_0110_5^17 + 30*c_0110_5^16 + 108*c_0110_5^15 - 249*c_0110_5^14 - 45*c_0110_5^13 + 543*c_0110_5^12 - 168*c_0110_5^11 - 686*c_0110_5^10 + 262*c_0110_5^9 + 653*c_0110_5^8 - 138*c_0110_5^7 - 475*c_0110_5^6 - 38*c_0110_5^5 + 217*c_0110_5^4 + 91*c_0110_5^3 - 35*c_0110_5^2 - 36*c_0110_5 - 8, c_0011_4 - c_0110_5^19 + 10*c_0110_5^18 - 35*c_0110_5^17 + 30*c_0110_5^16 + 108*c_0110_5^15 - 249*c_0110_5^14 - 45*c_0110_5^13 + 543*c_0110_5^12 - 168*c_0110_5^11 - 686*c_0110_5^10 + 262*c_0110_5^9 + 653*c_0110_5^8 - 138*c_0110_5^7 - 475*c_0110_5^6 - 38*c_0110_5^5 + 217*c_0110_5^4 + 90*c_0110_5^3 - 33*c_0110_5^2 - 36*c_0110_5 - 9, c_0101_0 + 9*c_0110_5^19 - 91*c_0110_5^18 + 324*c_0110_5^17 - 294*c_0110_5^16 - 988*c_0110_5^15 + 2424*c_0110_5^14 + 198*c_0110_5^13 - 5250*c_0110_5^12 + 2340*c_0110_5^11 + 6357*c_0110_5^10 - 3708*c_0110_5^9 - 5728*c_0110_5^8 + 2570*c_0110_5^7 + 4135*c_0110_5^6 - 591*c_0110_5^5 - 2019*c_0110_5^4 - 376*c_0110_5^3 + 433*c_0110_5^2 + 229*c_0110_5 + 33, c_0101_3 - 6*c_0110_5^19 + 61*c_0110_5^18 - 220*c_0110_5^17 + 215*c_0110_5^16 + 618*c_0110_5^15 - 1602*c_0110_5^14 - 21*c_0110_5^13 + 3303*c_0110_5^12 - 1551*c_0110_5^11 - 3948*c_0110_5^10 + 2258*c_0110_5^9 + 3656*c_0110_5^8 - 1481*c_0110_5^7 - 2713*c_0110_5^6 + 251*c_0110_5^5 + 1338*c_0110_5^4 + 315*c_0110_5^3 - 282*c_0110_5^2 - 170*c_0110_5 - 27, c_0110_4 - 23*c_0110_5^19 + 239*c_0110_5^18 - 898*c_0110_5^17 + 1036*c_0110_5^16 + 2099*c_0110_5^15 - 6574*c_0110_5^14 + 1500*c_0110_5^13 + 12039*c_0110_5^12 - 8637*c_0110_5^11 - 12591*c_0110_5^10 + 11146*c_0110_5^9 + 10785*c_0110_5^8 - 7572*c_0110_5^7 - 8037*c_0110_5^6 + 2356*c_0110_5^5 + 4117*c_0110_5^4 + 439*c_0110_5^3 - 946*c_0110_5^2 - 436*c_0110_5 - 59, c_0110_5^20 - 10*c_0110_5^19 + 35*c_0110_5^18 - 30*c_0110_5^17 - 108*c_0110_5^16 + 249*c_0110_5^15 + 45*c_0110_5^14 - 543*c_0110_5^13 + 168*c_0110_5^12 + 686*c_0110_5^11 - 262*c_0110_5^10 - 653*c_0110_5^9 + 138*c_0110_5^8 + 475*c_0110_5^7 + 38*c_0110_5^6 - 217*c_0110_5^5 - 90*c_0110_5^4 + 33*c_0110_5^3 + 35*c_0110_5^2 + 10*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB