Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3431813616] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3534 geometric_solution 6.89654903 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 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 0.296608310246 0.645981379508 3 2 4 0 0132 3012 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 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 0.711267143019 1.095320592258 1 3 0 5 1230 2310 0132 0132 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 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 0.711267143019 1.095320592258 1 6 6 2 0132 0132 1023 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402269923449 0.849802491448 5 5 6 1 1302 1023 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.449224635959 0.654553861873 4 4 2 6 1023 2031 0132 2103 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 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 0.449224635959 0.654553861873 4 3 3 5 2103 0132 1023 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301980403963 0.681514790830 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0110_6']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 76/5*c_0110_6 - 123/5, c_0011_0 - 1, c_0011_1 + c_0011_2 + c_0110_6, c_0011_2^2 + c_0011_2*c_0110_6 + 4*c_0110_6 + 3, c_0011_4 - c_0110_6 - 1, c_0101_0 + c_0110_6, c_0101_1 + c_0110_6 + 1, c_0110_6^2 - c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 20836038614651344845/110717093516692783936*c_0110_6^13 + 91707219471672352421/110717093516692783936*c_0110_6^12 - 91689754277852651075/55358546758346391968*c_0110_6^11 - 30276777696761973151/6512770206864281408*c_0110_6^10 + 146336123746851050567/55358546758346391968*c_0110_6^9 - 580887351170515385227/110717093516692783936*c_0110_6^8 - 4217219671884136126349/55358546758346391968*c_0110_6^7 - 12217413027277780062849/110717093516692783936*c_0110_6^6 - 4058327452343619738481/110717093516692783936*c_0110_6^5 + 1039405745205682710479/110717093516692783936*c_0110_6^4 - 9812837754466603662975/55358546758346391968*c_0110_6^3 - 17144245977458741335777/55358546758346391968*c_0110_6^2 - 24096052172248377822361/110717093516692783936*c_0110_6 - 2298267711929001217817/55358546758346391968, c_0011_0 - 1, c_0011_1 + 1698197379190615/101762034482254397*c_0110_6^13 - 31799902723589039/407048137929017588*c_0110_6^12 + 63132175358673211/407048137929017588*c_0110_6^11 + 45882611199033826/101762034482254397*c_0110_6^10 - 240609331268312105/407048137929017588*c_0110_6^9 + 108336791021357733/203524068964508794*c_0110_6^8 + 2984585545546040933/407048137929017588*c_0110_6^7 + 643639263070911644/101762034482254397*c_0110_6^6 - 1195806653578143019/407048137929017588*c_0110_6^5 + 582423779388435513/407048137929017588*c_0110_6^4 + 7081848414129253339/407048137929017588*c_0110_6^3 + 3634378566865021513/203524068964508794*c_0110_6^2 + 660409841093194260/101762034482254397*c_0110_6 + 103262609027915847/407048137929017588, c_0011_2 + 1698197379190615/101762034482254397*c_0110_6^13 - 31799902723589039/407048137929017588*c_0110_6^12 + 63132175358673211/407048137929017588*c_0110_6^11 + 45882611199033826/101762034482254397*c_0110_6^10 - 240609331268312105/407048137929017588*c_0110_6^9 + 108336791021357733/203524068964508794*c_0110_6^8 + 2984585545546040933/407048137929017588*c_0110_6^7 + 643639263070911644/101762034482254397*c_0110_6^6 - 1195806653578143019/407048137929017588*c_0110_6^5 + 582423779388435513/407048137929017588*c_0110_6^4 + 7081848414129253339/407048137929017588*c_0110_6^3 + 3634378566865021513/203524068964508794*c_0110_6^2 + 660409841093194260/101762034482254397*c_0110_6 + 103262609027915847/407048137929017588, c_0011_4 + 18928071537261083/814096275858035176*c_0110_6^13 - 103739545978323747/814096275858035176*c_0110_6^12 + 129594855217406167/407048137929017588*c_0110_6^11 + 304947549575947337/814096275858035176*c_0110_6^10 - 465106275471695765/407048137929017588*c_0110_6^9 + 1427783839347473385/814096275858035176*c_0110_6^8 + 3544395414710467993/407048137929017588*c_0110_6^7 + 1372001313377985031/814096275858035176*c_0110_6^6 - 3755050215644024625/814096275858035176*c_0110_6^5 + 4834537225450941131/814096275858035176*c_0110_6^4 + 7104312630236528657/407048137929017588*c_0110_6^3 + 4501625022844247969/407048137929017588*c_0110_6^2 + 923678261387468395/814096275858035176*c_0110_6 - 358989881018956203/407048137929017588, c_0101_0 - 50581355135/764378068754*c_0110_6^13 + 125855433196/382189034377*c_0110_6^12 - 549693703977/764378068754*c_0110_6^11 - 1184509931415/764378068754*c_0110_6^10 + 2133041304081/764378068754*c_0110_6^9 - 2549516569627/764378068754*c_0110_6^8 - 21065173308643/764378068754*c_0110_6^7 - 12963728288025/764378068754*c_0110_6^6 + 4623785791598/382189034377*c_0110_6^5 - 4387917215514/382189034377*c_0110_6^4 - 46353357001505/764378068754*c_0110_6^3 - 21454800846448/382189034377*c_0110_6^2 - 12667420358899/764378068754*c_0110_6 + 163614218601/764378068754, c_0101_1 + 7169426787497107/203524068964508794*c_0110_6^13 - 17626258607480081/101762034482254397*c_0110_6^12 + 36918192027187369/101762034482254397*c_0110_6^11 + 184249589164951593/203524068964508794*c_0110_6^10 - 325076664808480387/203524068964508794*c_0110_6^9 + 163957341344332659/101762034482254397*c_0110_6^8 + 1556994785768402119/101762034482254397*c_0110_6^7 + 1803611552843694619/203524068964508794*c_0110_6^6 - 903403133455711998/101762034482254397*c_0110_6^5 + 1337953197243671321/203524068964508794*c_0110_6^4 + 6935925454931265535/203524068964508794*c_0110_6^3 + 5884374661522204343/203524068964508794*c_0110_6^2 + 619978711369781557/101762034482254397*c_0110_6 - 121376758048315884/101762034482254397, c_0110_6^14 - 4*c_0110_6^13 + 6*c_0110_6^12 + 34*c_0110_6^11 - 19*c_0110_6^10 + 8*c_0110_6^9 + 465*c_0110_6^8 + 666*c_0110_6^7 + 58*c_0110_6^6 - 33*c_0110_6^5 + 1086*c_0110_6^4 + 1755*c_0110_6^3 + 1055*c_0110_6^2 + 205*c_0110_6 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB