Magma V2.19-8 Tue Aug 20 2013 23:39:43 on localhost [Seed = 2017336383] Type ? for help. Type -D to quit. Loading file "K14n14941__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14941 geometric_solution 9.77177727 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 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 0.347905622488 0.922828924143 0 5 7 6 0132 0132 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 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 -0.260345747955 1.234279192507 6 0 8 8 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603275228437 0.500583426871 8 4 9 0 0132 2103 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 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 0.506544284437 1.022947762884 9 3 0 8 0213 2103 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0.372486171308 0.279009051550 6 1 7 10 1023 0132 0213 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 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 0.132779330578 0.543715966131 2 5 1 9 0132 1023 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0.542238478724 1.749957626108 10 5 10 1 3120 0213 2310 0132 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 1 0 -1 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397006492636 0.470251792275 3 2 2 4 0132 1230 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685105523566 0.456618050610 4 10 6 3 0213 3012 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428412359300 0.534340327643 9 7 5 7 1230 3201 0132 3120 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 3 -1 -2 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 0.397006492636 0.470251792275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_0']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_2'], 's_3_1' : negation(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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_9'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 184269934291530404470118641/891738579837813031936*c_1001_0^15 + 765275682265234540992450115/445869289918906515968*c_1001_0^14 + 1867130996378775941154726209/891738579837813031936*c_1001_0^13 + 3119060382300661710754279659/891738579837813031936*c_1001_0^12 - 1902321901868662796926186141/222934644959453257984*c_1001_0^11 - 487631971554227235559012251/891738579837813031936*c_1001_0^10 - 2597826237639933898645663597/445869289918906515968*c_1001_0^9 + 15837012309388458190879242667/891738579837813031936*c_1001_0^8 - 130765166187250542856102033/13933415309965828624*c_1001_0^7 + 579383369073340130622912441/891738579837813031936*c_1001_0^6 - 2218677869077502514050478809/891738579837813031936*c_1001_0^5 + 2950281678156707295154264715/891738579837813031936*c_1001_0^4 - 1391179362039111241184549779/891738579837813031936*c_1001_0^3 + 300523918285307595768860349/445869289918906515968*c_1001_0^2 - 35862295655768476015183439/111467322479726628992*c_1001_0 + 61518357133861385089093761/891738579837813031936, c_0011_0 - 1, c_0011_10 - 1026169393635165/10079186514944*c_1001_0^15 - 2174054502520163/2519796628736*c_1001_0^14 - 11805156476839327/10079186514944*c_1001_0^13 - 18776522389332735/10079186514944*c_1001_0^12 + 20391441176946837/5039593257472*c_1001_0^11 + 12623804915740509/10079186514944*c_1001_0^10 + 16209939469447389/5039593257472*c_1001_0^9 - 83900896074218843/10079186514944*c_1001_0^8 + 14351485912759541/5039593257472*c_1001_0^7 + 1341609959958309/10079186514944*c_1001_0^6 + 14201891605902401/10079186514944*c_1001_0^5 - 13225466661399205/10079186514944*c_1001_0^4 + 5205484582159575/10079186514944*c_1001_0^3 - 333451301918923/1259898314368*c_1001_0^2 + 560353536661475/5039593257472*c_1001_0 - 159102038151919/10079186514944, c_0011_3 + 173457620554881/2519796628736*c_1001_0^15 + 784406235355681/1259898314368*c_1001_0^14 + 2926737392989285/2519796628736*c_1001_0^13 + 5189628424933867/2519796628736*c_1001_0^12 - 200187615185051/157487289296*c_1001_0^11 - 2637583171662599/2519796628736*c_1001_0^10 - 3652680691651925/1259898314368*c_1001_0^9 + 9267233500484147/2519796628736*c_1001_0^8 - 350609167328365/629949157184*c_1001_0^7 + 407262597949285/2519796628736*c_1001_0^6 - 1935113342309649/2519796628736*c_1001_0^5 + 1274221740561751/2519796628736*c_1001_0^4 - 541159751638819/2519796628736*c_1001_0^3 + 139850390442411/1259898314368*c_1001_0^2 - 22983895739561/629949157184*c_1001_0 + 11889011943573/2519796628736, c_0011_4 - 335950747960165/5039593257472*c_1001_0^15 - 1427341434891047/2519796628736*c_1001_0^14 - 3940294726006613/5039593257472*c_1001_0^13 - 6337255406518631/5039593257472*c_1001_0^12 + 3238957475881813/1259898314368*c_1001_0^11 + 3922552668985111/5039593257472*c_1001_0^10 + 5244634516625505/2519796628736*c_1001_0^9 - 27241848571698663/5039593257472*c_1001_0^8 + 577845825815355/314974578592*c_1001_0^7 + 517939222874995/5039593257472*c_1001_0^6 + 4682556324098861/5039593257472*c_1001_0^5 - 4293780115874263/5039593257472*c_1001_0^4 + 1662453008756415/5039593257472*c_1001_0^3 - 437068031546785/2519796628736*c_1001_0^2 + 44996796116393/629949157184*c_1001_0 - 46386242361237/5039593257472, c_0011_7 + 142416862201497/10079186514944*c_1001_0^15 + 284239162948959/2519796628736*c_1001_0^14 + 1020468898922259/10079186514944*c_1001_0^13 + 1576107650511891/10079186514944*c_1001_0^12 - 3668631225940833/5039593257472*c_1001_0^11 + 374259654414279/10079186514944*c_1001_0^10 - 1481165305163161/5039593257472*c_1001_0^9 + 14466894673691135/10079186514944*c_1001_0^8 - 4313441648348321/5039593257472*c_1001_0^7 + 233539088423903/10079186514944*c_1001_0^6 - 1877791365335405/10079186514944*c_1001_0^5 + 2847649178539553/10079186514944*c_1001_0^4 - 1253398872518091/10079186514944*c_1001_0^3 + 69255918560899/1259898314368*c_1001_0^2 - 142764096975383/5039593257472*c_1001_0 + 60703521769891/10079186514944, c_0011_9 + 220938132858417/2519796628736*c_1001_0^15 + 472453834892801/629949157184*c_1001_0^14 + 2696171894479267/2519796628736*c_1001_0^13 + 4300103684705211/2519796628736*c_1001_0^12 - 4180702487751501/1259898314368*c_1001_0^11 - 3249516142538697/2519796628736*c_1001_0^10 - 3682193541071057/1259898314368*c_1001_0^9 + 17358500350131927/2519796628736*c_1001_0^8 - 2509511066102805/1259898314368*c_1001_0^7 - 393787262095553/2519796628736*c_1001_0^6 - 3081025060141749/2519796628736*c_1001_0^5 + 2594454370714913/2519796628736*c_1001_0^4 - 988021427410371/2519796628736*c_1001_0^3 + 33024422919753/157487289296*c_1001_0^2 - 104397359921523/1259898314368*c_1001_0 + 27119425724243/2519796628736, c_0101_0 + 657946019468205/5039593257472*c_1001_0^15 + 731567498356839/629949157184*c_1001_0^14 + 10159679978302515/5039593257472*c_1001_0^13 + 17518431656526511/5039593257472*c_1001_0^12 - 8098976548576243/2519796628736*c_1001_0^11 - 10210131801113705/5039593257472*c_1001_0^10 - 12960862855246693/2519796628736*c_1001_0^9 + 40437963708581667/5039593257472*c_1001_0^8 - 3885415076012087/2519796628736*c_1001_0^7 + 521705502795927/5039593257472*c_1001_0^6 - 8117200993529833/5039593257472*c_1001_0^5 + 5654848004117041/5039593257472*c_1001_0^4 - 2241914442425847/5039593257472*c_1001_0^3 + 310667723792177/1259898314368*c_1001_0^2 - 215396770881817/2519796628736*c_1001_0 + 47178049769603/5039593257472, c_0101_2 + 57151273119941/5039593257472*c_1001_0^15 + 182346945321861/1259898314368*c_1001_0^14 + 2955148938871551/5039593257472*c_1001_0^13 + 5932452570327383/5039593257472*c_1001_0^12 + 3290727873290543/2519796628736*c_1001_0^11 - 2551463026275037/5039593257472*c_1001_0^10 - 3327954274422533/2519796628736*c_1001_0^9 - 7481578318494173/5039593257472*c_1001_0^8 + 3773345198146087/2519796628736*c_1001_0^7 + 1520937126743371/5039593257472*c_1001_0^6 + 271529219620199/5039593257472*c_1001_0^5 - 1760554207691659/5039593257472*c_1001_0^4 + 584160546652705/5039593257472*c_1001_0^3 - 17667680181229/314974578592*c_1001_0^2 + 93777291703537/2519796628736*c_1001_0 - 29594230199761/5039593257472, c_0101_3 + 311030778358443/5039593257472*c_1001_0^15 + 678728761357997/1259898314368*c_1001_0^14 + 4306205192323945/5039593257472*c_1001_0^13 + 7139174806658777/5039593257472*c_1001_0^12 - 4895974705615427/2519796628736*c_1001_0^11 - 4934965457788507/5039593257472*c_1001_0^10 - 5655501471942843/2519796628736*c_1001_0^9 + 21903496707613373/5039593257472*c_1001_0^8 - 2482978406698627/2519796628736*c_1001_0^7 - 292819693102643/5039593257472*c_1001_0^6 - 4246974308910535/5039593257472*c_1001_0^5 + 3106404522993539/5039593257472*c_1001_0^4 - 1159594939148209/5039593257472*c_1001_0^3 + 85408666674883/629949157184*c_1001_0^2 - 120941391294837/2519796628736*c_1001_0 + 28439619139929/5039593257472, c_0101_7 + 89426485985421/10079186514944*c_1001_0^15 + 155885226611967/2519796628736*c_1001_0^14 - 185113414758385/10079186514944*c_1001_0^13 - 600327920151057/10079186514944*c_1001_0^12 - 3670776684374253/5039593257472*c_1001_0^11 + 1917000943080019/10079186514944*c_1001_0^10 + 83337431165635/5039593257472*c_1001_0^9 + 13067587526584043/10079186514944*c_1001_0^8 - 5076450625126925/5039593257472*c_1001_0^7 - 265028819145429/10079186514944*c_1001_0^6 - 1143730173567569/10079186514944*c_1001_0^5 + 2938061129861861/10079186514944*c_1001_0^4 - 1279112916286391/10079186514944*c_1001_0^3 + 63754688453011/1259898314368*c_1001_0^2 - 146411557002827/5039593257472*c_1001_0 + 58124092744127/10079186514944, c_1001_0^16 + 105/13*c_1001_0^15 + 107/13*c_1001_0^14 + 190/13*c_1001_0^13 - 587/13*c_1001_0^12 + 89/13*c_1001_0^11 - 359/13*c_1001_0^10 + 1201/13*c_1001_0^9 - 847/13*c_1001_0^8 + 177/13*c_1001_0^7 - 166/13*c_1001_0^6 + 244/13*c_1001_0^5 - 146/13*c_1001_0^4 + 5*c_1001_0^3 - 30/13*c_1001_0^2 + 9/13*c_1001_0 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB