Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3347471124] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1331 geometric_solution 5.21150333 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -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 0.564496376104 0.950358033252 0 3 2 4 0132 0132 1230 0132 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 -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 1.087101211352 0.990496737713 3 0 4 1 2310 0132 2310 3012 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 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 1.087101211352 0.990496737713 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.200037086588 0.615029019047 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718947135251 0.219154609258 4 6 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.024467220650 0.325512584886 6 5 5 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.141557027675 0.219551169830 ==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_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 9759282822520069200444/403483189185618721*c_0101_6^15 + 10239098619229663433949/403483189185618721*c_0101_6^14 - 84034565208241324804764/403483189185618721*c_0101_6^13 - 32589426623940932999730/403483189185618721*c_0101_6^12 + 248938068234437428422014/403483189185618721*c_0101_6^11 - 72567375791043313171150/403483189185618721*c_0101_6^10 - 328095441578715741730969/403483189185618721*c_0101_6^9 + 202640067790183513815331/403483189185618721*c_0101_6^8 + 113773435828932403944303/403483189185618721*c_0101_6^7 - 120688593162471349340958/403483189185618721*c_0101_6^6 - 6155165552802062405405/403483189185618721*c_0101_6^5 + 2558339994472877690383/403483189185618721*c_0101_6^4 - 4024300150481583942530/403483189185618721*c_0101_6^3 + 3794878746297506383527/403483189185618721*c_0101_6^2 + 480827151160436588495/403483189185618721*c_0101_6 - 337872315583739779335/403483189185618721, c_0011_0 - 1, c_0011_4 - 26024037728513152140/13913213420193749*c_0101_6^15 - 26637496302425505606/13913213420193749*c_0101_6^14 + 224734579076165420799/13913213420193749*c_0101_6^13 + 81205518805049931690/13913213420193749*c_0101_6^12 - 665527147187078245438/13913213420193749*c_0101_6^11 + 209882013415354033869/13913213420193749*c_0101_6^10 + 868485185202395132353/13913213420193749*c_0101_6^9 - 560117469714691277431/13913213420193749*c_0101_6^8 - 288889780725535990810/13913213420193749*c_0101_6^7 + 325884612873505504246/13913213420193749*c_0101_6^6 + 9774701485753690753/13913213420193749*c_0101_6^5 - 6168566915965408707/13913213420193749*c_0101_6^4 + 9954099816038046416/13913213420193749*c_0101_6^3 - 10241733115120699792/13913213420193749*c_0101_6^2 - 1096335178799478316/13913213420193749*c_0101_6 + 904482595742339628/13913213420193749, c_0101_0 + 33197939183552941395/13913213420193749*c_0101_6^15 + 33362472201478858215/13913213420193749*c_0101_6^14 - 287384412173170102551/13913213420193749*c_0101_6^13 - 98379599185580677437/13913213420193749*c_0101_6^12 + 851419040484083408812/13913213420193749*c_0101_6^11 - 282846740110529619786/13913213420193749*c_0101_6^10 - 1104347400419217106428/13913213420193749*c_0101_6^9 + 734237919127320333275/13913213420193749*c_0101_6^8 + 357693631021912387424/13913213420193749*c_0101_6^7 - 422062491023014189936/13913213420193749*c_0101_6^6 - 6403638420682355170/13913213420193749*c_0101_6^5 + 8222532626797685781/13913213420193749*c_0101_6^4 - 12276539137298509384/13913213420193749*c_0101_6^3 + 13361389652680753221/13913213420193749*c_0101_6^2 + 1248067868500502907/13913213420193749*c_0101_6 - 1183584262254510381/13913213420193749, c_0101_1 + 33624044974151402337/13913213420193749*c_0101_6^15 + 34009448829861128877/13913213420193749*c_0101_6^14 - 290855997284151577194/13913213420193749*c_0101_6^13 - 101509339473940231608/13913213420193749*c_0101_6^12 + 861756166172696169311/13913213420193749*c_0101_6^11 - 281108889239877717837/13913213420193749*c_0101_6^10 - 1120575804912364067245/13913213420193749*c_0101_6^9 + 737141341036842760858/13913213420193749*c_0101_6^8 + 367069621729456744616/13913213420193749*c_0101_6^7 - 426153591411701422361/13913213420193749*c_0101_6^6 - 8832835842063907605/13913213420193749*c_0101_6^5 + 8668602887351003854/13913213420193749*c_0101_6^4 - 12619792880661955340/13913213420193749*c_0101_6^3 + 13386258895896572570/13913213420193749*c_0101_6^2 + 1318470491399850271/13913213420193749*c_0101_6 - 1196350111534741678/13913213420193749, c_0101_2 - 44234069226279303465/13913213420193749*c_0101_6^15 - 45047234646713855349/13913213420193749*c_0101_6^14 + 382245795280853002764/13913213420193749*c_0101_6^13 + 136077399604956497451/13913213420193749*c_0101_6^12 - 1132098353537158994597/13913213420193749*c_0101_6^11 + 362477596764570788208/13913213420193749*c_0101_6^10 + 1474782794274001083768/13913213420193749*c_0101_6^9 - 959701768757671989851/13913213420193749*c_0101_6^8 - 486714874063682290819/13913213420193749*c_0101_6^7 + 556653877684570259225/13913213420193749*c_0101_6^6 + 13934987631967736324/13913213420193749*c_0101_6^5 - 10748737713880784222/13913213420193749*c_0101_6^4 + 16993684892437472629/13913213420193749*c_0101_6^3 - 17517871683614355523/13913213420193749*c_0101_6^2 - 1843398404658653925/13913213420193749*c_0101_6 + 1548768865433241988/13913213420193749, c_0101_5 + 9506544378509758887/13913213420193749*c_0101_6^15 + 9494522498397773250/13913213420193749*c_0101_6^14 - 82360101173634619839/13913213420193749*c_0101_6^13 - 27668286673431006060/13913213420193749*c_0101_6^12 + 244031447764483698864/13913213420193749*c_0101_6^11 - 82471522357460088980/13913213420193749*c_0101_6^10 - 315869342639266964833/13913213420193749*c_0101_6^9 + 212192862744560909882/13913213420193749*c_0101_6^8 + 101336149672177510166/13913213420193749*c_0101_6^7 - 121507084523308766477/13913213420193749*c_0101_6^6 - 1235714732673830004/13913213420193749*c_0101_6^5 + 2375408641698017351/13913213420193749*c_0101_6^4 - 3444708683131616892/13913213420193749*c_0101_6^3 + 3856145011810797491/13913213420193749*c_0101_6^2 + 316506194828762461/13913213420193749*c_0101_6 - 341787859277794583/13913213420193749, c_0101_6^16 + 2/3*c_0101_6^15 - 9*c_0101_6^14 - 1/27*c_0101_6^13 + 2161/81*c_0101_6^12 - 1393/81*c_0101_6^11 - 2468/81*c_0101_6^10 + 2708/81*c_0101_6^9 + 274/81*c_0101_6^8 - 1334/81*c_0101_6^7 + 37/9*c_0101_6^6 + 29/81*c_0101_6^5 - 38/81*c_0101_6^4 + 43/81*c_0101_6^3 - 8/81*c_0101_6^2 - 4/81*c_0101_6 + 1/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB