Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 3069651561] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1439 geometric_solution 5.26482821 oriented_manifold CS_known -0.0000000000000000 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.894585756337 0.870660526515 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 -0.676530774607 0.148010054421 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 -2 2 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742544391411 0.521943805612 5 2 6 6 0132 0132 0132 2310 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 -1 1 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209056651263 0.682248441034 6 6 5 2 1023 3201 0132 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 -1 -1 2 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 0.209056651263 0.682248441034 3 5 5 4 0132 3201 2310 0132 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 -1 0 1 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541233841709 0.922207837385 3 4 4 3 3201 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410585126729 1.339928966290 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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_4'], '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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], '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' : negation(d['c_0101_3']), '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' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), '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_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 497048687719257096740939/1808141456010022452704*c_0101_5^24 - 152228631238682270458070063/14465131648080179621632*c_0101_5^22 + 506021952060810303835935875/3616282912020044905408*c_0101_5^20 - 1663658785373127385879049547/1808141456010022452704*c_0101_5^18 + 12318702564214052971590062907/3616282912020044905408*c_0101_5^16 - 27447122349346592755402601433/3616282912020044905408*c_0101_5^14 + 76237887910033149697975632921/7232565824040089810816*c_0101_5^12 - 64087250631480484092102082165/7232565824040089810816*c_0101_5^10 + 63237155946789470648042631683/14465131648080179621632*c_0101_5^8 - 16897612204794314694277020273/14465131648080179621632*c_0101_5^6 + 24380146157971009509102413/164376496000911132064*c_0101_5^4 - 37244105723883791541448273/7232565824040089810816*c_0101_5^2 - 3189420761564024209402645/14465131648080179621632, c_0011_0 - 1, c_0011_2 - 97216516203616915895/164376496000911132064*c_0101_5^24 + 29940177538522634014251/1315011968007289056512*c_0101_5^22 - 100561186036738231474431/328752992001822264128*c_0101_5^20 + 335950553532058558377671/164376496000911132064*c_0101_5^18 - 2548073641302099732282567/328752992001822264128*c_0101_5^16 + 5880707546845245218665485/328752992001822264128*c_0101_5^14 - 17186838281755765862261917/657505984003644528256*c_0101_5^12 + 15678268388695554230799305/657505984003644528256*c_0101_5^10 - 17603108236476766081110607/1315011968007289056512*c_0101_5^8 + 5840439602400466172934773/1315011968007289056512*c_0101_5^6 - 133733491855135497031739/164376496000911132064*c_0101_5^4 + 43373583236243944086869/657505984003644528256*c_0101_5^2 - 1256823110696356228631/1315011968007289056512, c_0011_4 + 113693754423295272689/164376496000911132064*c_0101_5^24 - 35327686713854946758749/1315011968007289056512*c_0101_5^22 + 120583600376834625579025/328752992001822264128*c_0101_5^20 - 412482706250101597322749/164376496000911132064*c_0101_5^18 + 3233392911479647540809737/328752992001822264128*c_0101_5^16 - 7792589080964744763505763/328752992001822264128*c_0101_5^14 + 24028819216183913998086571/657505984003644528256*c_0101_5^12 - 23499562649815495629764703/657505984003644528256*c_0101_5^10 + 28494379916759610978789433/1315011968007289056512*c_0101_5^8 - 10168260142714710210224515/1315011968007289056512*c_0101_5^6 + 240223517979353637337913/164376496000911132064*c_0101_5^4 - 78588161191703316105907/657505984003644528256*c_0101_5^2 + 2378264382361851339569/1315011968007289056512, c_0101_0 + 1165226781294536430095/164376496000911132064*c_0101_5^25 - 357227515165818378278787/1315011968007289056512*c_0101_5^23 + 594854815587717361089649/164376496000911132064*c_0101_5^21 - 7846236116222697599885299/328752992001822264128*c_0101_5^19 + 14591724896911118683218935/164376496000911132064*c_0101_5^17 - 32742423744034957070752699/164376496000911132064*c_0101_5^15 + 183891840465338161207909315/657505984003644528256*c_0101_5^13 - 157599449166949524425484495/657505984003644528256*c_0101_5^11 + 161168257543085658031109955/1315011968007289056512*c_0101_5^9 - 46490486188425796755751053/1315011968007289056512*c_0101_5^7 + 1787557029377591251281695/328752992001822264128*c_0101_5^5 - 264707742819440993923923/657505984003644528256*c_0101_5^3 + 15399992746628690943227/1315011968007289056512*c_0101_5, c_0101_1 - 428678963178823808939/164376496000911132064*c_0101_5^25 + 131005675912405255283183/1315011968007289056512*c_0101_5^23 - 216860434348790931490343/164376496000911132064*c_0101_5^21 + 2834231592399436326493327/328752992001822264128*c_0101_5^19 - 5198025501533755902324713/164376496000911132064*c_0101_5^17 + 11426485481776461897115379/164376496000911132064*c_0101_5^15 - 62276225379213213574872055/657505984003644528256*c_0101_5^13 + 50803265576673830721663611/657505984003644528256*c_0101_5^11 - 48033940788266494921333567/1315011968007289056512*c_0101_5^9 + 12197862473974667940913009/1315011968007289056512*c_0101_5^7 - 406409995315957292035875/328752992001822264128*c_0101_5^5 + 67173504787403262673223/657505984003644528256*c_0101_5^3 - 9294527459002303600167/1315011968007289056512*c_0101_5, c_0101_3 + 214199810218315856323/82188248000455566032*c_0101_5^25 - 65997211610606220389751/657505984003644528256*c_0101_5^23 + 443673287569029996333717/328752992001822264128*c_0101_5^21 - 2967352938596259047812841/328752992001822264128*c_0101_5^19 + 11265331595656623002381457/328752992001822264128*c_0101_5^17 - 26017609766102918305584115/328752992001822264128*c_0101_5^15 + 9497959478607992806974337/82188248000455566032*c_0101_5^13 - 8626196982258552795969419/82188248000455566032*c_0101_5^11 + 38150061820453129266392753/657505984003644528256*c_0101_5^9 - 12126927668160221405816409/657505984003644528256*c_0101_5^7 + 989811858099629922634437/328752992001822264128*c_0101_5^5 - 7505865430407288977527/41094124000227783016*c_0101_5^3 - 1476321935118491994199/657505984003644528256*c_0101_5, c_0101_5^26 - 309/8*c_0101_5^24 + 4177/8*c_0101_5^22 - 7043/2*c_0101_5^20 + 27083/2*c_0101_5^18 - 31882*c_0101_5^16 + 191665/4*c_0101_5^14 - 91277/2*c_0101_5^12 + 218695/8*c_0101_5^10 - 20079/2*c_0101_5^8 + 17371/8*c_0101_5^6 - 1015/4*c_0101_5^4 + 103/8*c_0101_5^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB