Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 3330759185] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1520 geometric_solution 5.31966719 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 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 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 1.071152151863 1.827171109249 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 -0.596206569141 0.341586601267 4 3 5 0 0132 1023 0132 0132 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 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 0.071020968053 0.791416587809 2 4 0 5 1023 3201 0132 3201 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 1 -1 -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 0.071020968053 0.791416587809 2 4 3 4 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 -1 0 0 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 -0.112484551877 1.253462782453 6 3 6 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 0 -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 0.666989511245 0.998427564938 5 5 6 6 0132 3201 2031 1302 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 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 0 0 0 0 0 0 0 0.492938282294 0.161357204077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], '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_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), '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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4211028707795670725/372060380172510383*c_0101_5^17 + 6010106042775265809/372060380172510383*c_0101_5^16 - 95032540865415881075/372060380172510383*c_0101_5^15 - 294406139734328597466/372060380172510383*c_0101_5^14 - 79994231896903991574/372060380172510383*c_0101_5^13 + 562255740441937190425/372060380172510383*c_0101_5^12 + 530198287338789878733/372060380172510383*c_0101_5^11 - 462257714307264494486/372060380172510383*c_0101_5^10 - 1134034948833361263716/372060380172510383*c_0101_5^9 + 183307868414232849873/372060380172510383*c_0101_5^8 + 1342766069194033277054/372060380172510383*c_0101_5^7 + 144530441742846903959/372060380172510383*c_0101_5^6 - 492389493659711128966/372060380172510383*c_0101_5^5 - 531230280073773284220/372060380172510383*c_0101_5^4 + 194327587846187404085/372060380172510383*c_0101_5^3 + 159979380252227527501/372060380172510383*c_0101_5^2 - 34961666145670647837/372060380172510383*c_0101_5 - 6120735996059892102/372060380172510383, c_0011_0 - 1, c_0011_2 + 20294795480360911/372060380172510383*c_0101_5^17 - 63945759780776149/372060380172510383*c_0101_5^16 - 598251019926551228/372060380172510383*c_0101_5^15 + 638664290487916726/372060380172510383*c_0101_5^14 + 6227539350301044000/372060380172510383*c_0101_5^13 + 5613754267178573317/372060380172510383*c_0101_5^12 - 7427865371788311542/372060380172510383*c_0101_5^11 - 13100884017993198083/372060380172510383*c_0101_5^10 + 1535701153587464694/372060380172510383*c_0101_5^9 + 22624056881564201252/372060380172510383*c_0101_5^8 + 4970677485669668111/372060380172510383*c_0101_5^7 - 22550788420953896532/372060380172510383*c_0101_5^6 - 5998263212332436217/372060380172510383*c_0101_5^5 + 1802211307001997622/372060380172510383*c_0101_5^4 + 10478094522039415609/372060380172510383*c_0101_5^3 - 2756331976649657714/372060380172510383*c_0101_5^2 - 1548373151386164200/372060380172510383*c_0101_5 - 74466170188960899/372060380172510383, c_0011_5 + 207653019313310938/372060380172510383*c_0101_5^17 + 360359466481018903/372060380172510383*c_0101_5^16 - 4558811808929300123/372060380172510383*c_0101_5^15 - 15865014328332931021/372060380172510383*c_0101_5^14 - 9130739741140750178/372060380172510383*c_0101_5^13 + 23056370130174016121/372060380172510383*c_0101_5^12 + 30074101185749792669/372060380172510383*c_0101_5^11 - 14150061257155168058/372060380172510383*c_0101_5^10 - 56134054175470610949/372060380172510383*c_0101_5^9 - 4616929272276697707/372060380172510383*c_0101_5^8 + 60973481968134988105/372060380172510383*c_0101_5^7 + 18810438719923142822/372060380172510383*c_0101_5^6 - 17690468318068187560/372060380172510383*c_0101_5^5 - 24870356147240205074/372060380172510383*c_0101_5^4 + 5626669898888457813/372060380172510383*c_0101_5^3 + 8613817343311402039/372060380172510383*c_0101_5^2 - 764766722179142158/372060380172510383*c_0101_5 - 836360674994404216/372060380172510383, c_0101_0 + 241840558804922066/372060380172510383*c_0101_5^17 + 316207943104368721/372060380172510383*c_0101_5^16 - 5444641134928559317/372060380172510383*c_0101_5^15 - 16152315915017935011/372060380172510383*c_0101_5^14 - 3730270054180412906/372060380172510383*c_0101_5^13 + 28553559578591887959/372060380172510383*c_0101_5^12 + 23147718928234137655/372060380172510383*c_0101_5^11 - 26148741255692666798/372060380172510383*c_0101_5^10 - 54394114692158431031/372060380172510383*c_0101_5^9 + 17733376751499196099/372060380172510383*c_0101_5^8 + 63986432614282976213/372060380172510383*c_0101_5^7 - 4575375163949494212/372060380172510383*c_0101_5^6 - 18711576807659861342/372060380172510383*c_0101_5^5 - 21363841520099040023/372060380172510383*c_0101_5^4 + 15739574496494049078/372060380172510383*c_0101_5^3 + 3468307597227135627/372060380172510383*c_0101_5^2 - 2382614038089968600/372060380172510383*c_0101_5 - 238115585677159798/372060380172510383, c_0101_1 - 35903687939965691/372060380172510383*c_0101_5^17 - 74118621917393991/372060380172510383*c_0101_5^16 + 761841119969985704/372060380172510383*c_0101_5^15 + 2994377715429180955/372060380172510383*c_0101_5^14 + 2611967786548120653/372060380172510383*c_0101_5^13 - 3074654006554120621/372060380172510383*c_0101_5^12 - 6373225758255987376/372060380172510383*c_0101_5^11 + 276229896984204670/372060380172510383*c_0101_5^10 + 10296715284189748198/372060380172510383*c_0101_5^9 + 4600496903303834512/372060380172510383*c_0101_5^8 - 9344439166012940493/372060380172510383*c_0101_5^7 - 7242766172003247772/372060380172510383*c_0101_5^6 + 913350161683099507/372060380172510383*c_0101_5^5 + 5691650898258867397/372060380172510383*c_0101_5^4 + 426664352327519359/372060380172510383*c_0101_5^3 - 1358970756762374350/372060380172510383*c_0101_5^2 - 794186991046486750/372060380172510383*c_0101_5 + 99021427951608878/372060380172510383, c_0101_2 + 215258669561511743/372060380172510383*c_0101_5^17 + 344122360572341192/372060380172510383*c_0101_5^16 - 4768495901371074143/372060380172510383*c_0101_5^15 - 15798034963589941541/372060380172510383*c_0101_5^14 - 7412037656893469381/372060380172510383*c_0101_5^13 + 24842164672555856603/372060380172510383*c_0101_5^12 + 28289670039965835295/372060380172510383*c_0101_5^11 - 17998810671279829660/372060380172510383*c_0101_5^10 - 56470873986237837369/372060380172510383*c_0101_5^9 + 1605700228279939235/372060380172510383*c_0101_5^8 + 63188195558928985514/372060380172510383*c_0101_5^7 + 13375473739134481036/372060380172510383*c_0101_5^6 - 19586183887776454672/372060380172510383*c_0101_5^5 - 25361405117488992794/372060380172510383*c_0101_5^4 + 8898881339623200907/372060380172510383*c_0101_5^3 + 8273921282572741779/372060380172510383*c_0101_5^2 - 1034810307485170036/372060380172510383*c_0101_5 - 841638059919188704/372060380172510383, c_0101_5^18 + c_0101_5^17 - 23*c_0101_5^16 - 60*c_0101_5^15 + 7*c_0101_5^14 + 129*c_0101_5^13 + 62*c_0101_5^12 - 148*c_0101_5^11 - 203*c_0101_5^10 + 150*c_0101_5^9 + 264*c_0101_5^8 - 102*c_0101_5^7 - 97*c_0101_5^6 - 69*c_0101_5^5 + 101*c_0101_5^4 + 3*c_0101_5^3 - 18*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB