Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 492601817] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0444 geometric_solution 4.48914662 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 2.267891769842 0.887701829024 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.629666992125 0.118842783180 0 3 4 0 3201 0132 0132 0132 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 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 0.556276696492 0.805505062198 5 2 4 4 0132 0132 1302 2031 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 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 0.334113605331 0.408148315190 3 3 5 2 2031 1302 2310 0132 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 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 0.334113605331 0.408148315190 3 4 6 6 0132 3201 3201 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 -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 -0.915844703006 1.238187424420 5 6 5 6 2310 2310 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.362757660441 0.719527103335 ==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_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, 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: 15 Groebner basis: [ t - 419028241554145766/1447487962522661*c_0101_5^14 - 1214030011042365660/1447487962522661*c_0101_5^13 + 1175496220965924931/1447487962522661*c_0101_5^12 + 1980839907144302365/1447487962522661*c_0101_5^11 - 1059083867427459517/1447487962522661*c_0101_5^10 + 13507657240582245116/1447487962522661*c_0101_5^9 + 24401626617612916300/1447487962522661*c_0101_5^8 - 27755146608961707645/1447487962522661*c_0101_5^7 - 101580129133555670251/1447487962522661*c_0101_5^6 + 67396897052601117928/1447487962522661*c_0101_5^5 + 73557754631375705539/1447487962522661*c_0101_5^4 - 38241127520336358600/1447487962522661*c_0101_5^3 - 17298856038984776910/1447487962522661*c_0101_5^2 + 4295839520101482431/1447487962522661*c_0101_5 + 1442577414467360682/1447487962522661, c_0011_0 - 1, c_0011_2 + 2980887432896322/1447487962522661*c_0101_5^14 + 7613524229742954/1447487962522661*c_0101_5^13 - 11497156828954017/1447487962522661*c_0101_5^12 - 12165249271766578/1447487962522661*c_0101_5^11 + 11248296743787812/1447487962522661*c_0101_5^10 - 97813669756956383/1447487962522661*c_0101_5^9 - 139220494252644562/1447487962522661*c_0101_5^8 + 262765078825515114/1447487962522661*c_0101_5^7 + 679784053134148988/1447487962522661*c_0101_5^6 - 702472359151451123/1447487962522661*c_0101_5^5 - 401667593186271736/1447487962522661*c_0101_5^4 + 376745944408735641/1447487962522661*c_0101_5^3 + 58740093032078880/1447487962522661*c_0101_5^2 - 31698169761796916/1447487962522661*c_0101_5 - 5094689324142722/1447487962522661, c_0011_4 - 1162911936211916/1447487962522661*c_0101_5^14 - 3256478064256454/1447487962522661*c_0101_5^13 + 3357950176639716/1447487962522661*c_0101_5^12 + 4434347213510013/1447487962522661*c_0101_5^11 - 3162981991963998/1447487962522661*c_0101_5^10 + 38634704809296722/1447487962522661*c_0101_5^9 + 63752510643817427/1447487962522661*c_0101_5^8 - 75949426992212719/1447487962522661*c_0101_5^7 - 258483375375151810/1447487962522661*c_0101_5^6 + 207400302046900101/1447487962522661*c_0101_5^5 + 135308224597840837/1447487962522661*c_0101_5^4 - 104841055434657215/1447487962522661*c_0101_5^3 - 8971869470938560/1447487962522661*c_0101_5^2 + 4942663417756884/1447487962522661*c_0101_5 + 220540185243557/1447487962522661, c_0011_6 - 455264571122472/1447487962522661*c_0101_5^14 - 1622867079940452/1447487962522661*c_0101_5^13 + 57189235165780/1447487962522661*c_0101_5^12 + 1758963596223260/1447487962522661*c_0101_5^11 + 246876358651586/1447487962522661*c_0101_5^10 + 15349788856349137/1447487962522661*c_0101_5^9 + 36512192533277725/1447487962522661*c_0101_5^8 - 1180908231397614/1447487962522661*c_0101_5^7 - 101974185203625476/1447487962522661*c_0101_5^6 + 27133419393982/1447487962522661*c_0101_5^5 + 50006706085041230/1447487962522661*c_0101_5^4 + 6470288369958461/1447487962522661*c_0101_5^3 + 567403983042630/1447487962522661*c_0101_5^2 - 4603016866581276/1447487962522661*c_0101_5 - 752626037662188/1447487962522661, c_0101_0 - 3302690737771366/1447487962522661*c_0101_5^14 - 8625432719117926/1447487962522661*c_0101_5^13 + 11800863649192943/1447487962522661*c_0101_5^12 + 12489271058911212/1447487962522661*c_0101_5^11 - 12041252239360266/1447487962522661*c_0101_5^10 + 109295349133556156/1447487962522661*c_0101_5^9 + 160936211885821505/1447487962522661*c_0101_5^8 - 266984776371516148/1447487962522661*c_0101_5^7 - 729765628437981355/1447487962522661*c_0101_5^6 + 743455847752083426/1447487962522661*c_0101_5^5 + 391541291248418190/1447487962522661*c_0101_5^4 - 411255956867871633/1447487962522661*c_0101_5^3 - 41268478145714800/1447487962522661*c_0101_5^2 + 39452616716099038/1447487962522661*c_0101_5 + 5098149828143292/1447487962522661, c_0101_1 + 2729843367872084/1447487962522661*c_0101_5^14 + 7865550639541544/1447487962522661*c_0101_5^13 - 7231186423399952/1447487962522661*c_0101_5^12 - 10947376130590052/1447487962522661*c_0101_5^11 + 6537071205146531/1447487962522661*c_0101_5^10 - 90261582587334144/1447487962522661*c_0101_5^9 - 157257479735351729/1447487962522661*c_0101_5^8 + 164842227601190329/1447487962522661*c_0101_5^7 + 618932839658095878/1447487962522661*c_0101_5^6 - 436887454707944435/1447487962522661*c_0101_5^5 - 348092614379091259/1447487962522661*c_0101_5^4 + 224052257820759377/1447487962522661*c_0101_5^3 + 44583925486744387/1447487962522661*c_0101_5^2 - 15606647780996413/1447487962522661*c_0101_5 - 3956434454403983/1447487962522661, c_0101_5^15 + 3*c_0101_5^14 - 5/2*c_0101_5^13 - 5*c_0101_5^12 + 2*c_0101_5^11 - 32*c_0101_5^10 - 123/2*c_0101_5^9 + 60*c_0101_5^8 + 249*c_0101_5^7 - 135*c_0101_5^6 - 381/2*c_0101_5^5 + 141/2*c_0101_5^4 + 50*c_0101_5^3 - 9/2*c_0101_5^2 - 9/2*c_0101_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB