Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 4021187367] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2319 geometric_solution 5.71267112 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.464318978130 0.240053782091 2 0 3 0 0132 2310 0132 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 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 0.836235545654 0.638562714839 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 1 0 -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 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 0.978456812369 1.067131357842 5 2 4 1 3201 1230 1023 0132 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 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 0.978456812369 1.067131357842 6 2 3 6 0132 0132 1023 3201 0 0 0 0 0 -1 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 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 0.198158103558 0.585736259914 5 5 2 3 1302 2031 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0.696228135549 0.930497831676 4 4 6 6 0132 2310 1230 3012 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 1 -1 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 2.021671418998 0.749714112585 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 8*c_0101_6^2 - 5*c_0101_6 - 17, c_0011_0 - 1, c_0011_1 - c_0101_6^2 + 1, c_0011_3 + 1, c_0011_5 + c_0101_6, c_0101_0 + c_0101_6, c_0101_3 + c_0101_6^2 - 1, c_0101_6^3 - c_0101_6^2 - 2*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 8*c_0101_6^2 - 5*c_0101_6 + 17, c_0011_0 - 1, c_0011_1 - c_0101_6^2 + 1, c_0011_3 + 1, c_0011_5 - c_0101_6, c_0101_0 + c_0101_6, c_0101_3 - c_0101_6^2 + 1, c_0101_6^3 + c_0101_6^2 - 2*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 270349918295/145829559*c_0101_6^19 - 68964708538/145829559*c_0101_6^17 - 6776681373259/145829559*c_0101_6^15 + 2056074353882/145829559*c_0101_6^13 - 18138221108867/145829559*c_0101_6^11 + 23761234693169/145829559*c_0101_6^9 - 9641794861615/145829559*c_0101_6^7 + 38930744386918/145829559*c_0101_6^5 - 4622999411377/48609853*c_0101_6^3 + 1105672615951/145829559*c_0101_6, c_0011_0 - 1, c_0011_1 - 368419248/48609853*c_0101_6^18 - 92998628/48609853*c_0101_6^16 - 9234847413/48609853*c_0101_6^14 + 2827659694/48609853*c_0101_6^12 - 24728230511/48609853*c_0101_6^10 + 32474413620/48609853*c_0101_6^8 - 13214699331/48609853*c_0101_6^6 + 53113367426/48609853*c_0101_6^4 - 19035301677/48609853*c_0101_6^2 + 1469377757/48609853, c_0011_3 - 254496925/48609853*c_0101_6^18 - 61914392/48609853*c_0101_6^16 - 6378420358/48609853*c_0101_6^14 + 2011036990/48609853*c_0101_6^12 - 17093132015/48609853*c_0101_6^10 + 22571912313/48609853*c_0101_6^8 - 9302834317/48609853*c_0101_6^6 + 36724809683/48609853*c_0101_6^4 - 13456836349/48609853*c_0101_6^2 + 1063376229/48609853, c_0011_5 - 37571511/48609853*c_0101_6^18 - 11412728/48609853*c_0101_6^16 - 941904517/48609853*c_0101_6^14 + 241108356/48609853*c_0101_6^12 - 2499145158/48609853*c_0101_6^10 + 3205114745/48609853*c_0101_6^8 - 1192875991/48609853*c_0101_6^6 + 5411244340/48609853*c_0101_6^4 - 1791642792/48609853*c_0101_6^2 + 95670536/48609853, c_0101_0 + 318072058/48609853*c_0101_6^19 + 83289112/48609853*c_0101_6^17 + 7972197524/48609853*c_0101_6^15 - 2366075836/48609853*c_0101_6^13 + 21292799614/48609853*c_0101_6^11 - 27818288110/48609853*c_0101_6^9 + 11092843335/48609853*c_0101_6^7 - 45670973709/48609853*c_0101_6^5 + 16054755291/48609853*c_0101_6^3 - 1089206327/48609853*c_0101_6, c_0101_3 - 462352447/48609853*c_0101_6^19 - 120860623/48609853*c_0101_6^17 - 11590619977/48609853*c_0101_6^15 + 3444096765/48609853*c_0101_6^13 - 31007038099/48609853*c_0101_6^11 + 40468583797/48609853*c_0101_6^9 - 16255991152/48609853*c_0101_6^7 + 66552997235/48609853*c_0101_6^5 - 23340185183/48609853*c_0101_6^3 + 1701720295/48609853*c_0101_6, c_0101_6^20 + 25*c_0101_6^16 - 14*c_0101_6^14 + 69*c_0101_6^12 - 105*c_0101_6^10 + 58*c_0101_6^8 - 153*c_0101_6^6 + 88*c_0101_6^4 - 17*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB