Magma V2.19-8 Tue Aug 20 2013 23:56:55 on localhost [Seed = 795428817] Type ? for help. Type -D to quit. Loading file "L14n24958__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24958 geometric_solution 10.71184296 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 1 -1 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 -4 3 1 0 0 -4 4 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211606364121 1.055090864015 0 3 6 5 0132 1023 0132 0132 0 0 1 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 4 -3 -1 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 0.096485111228 0.682189015457 7 0 8 4 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293214268057 0.298938113225 1 7 8 0 1023 0132 1302 0132 0 0 1 1 0 -1 0 1 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 3 0 -3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880737412148 1.881023890854 2 9 0 5 3012 0132 0132 0213 0 0 0 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 0 0 0 0 -1 1 4 0 -4 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 0.243054145548 0.540781933370 10 10 1 4 0132 1302 0132 0213 0 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 11 -12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429974078181 0.692088716446 7 9 11 1 2031 1023 0132 0132 0 0 1 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 0 -3 3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711853699443 1.068634780931 2 3 6 10 0132 0132 1302 0321 0 0 1 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 -3 3 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 0.029039141466 1.550560826250 3 9 10 2 2031 0321 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068691339866 1.255000921121 6 4 11 8 1023 0132 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482602766555 1.219237427834 5 7 8 5 0132 0321 3120 2031 0 0 1 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 0 0 0 -11 -1 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709061243497 0.860896438406 9 11 11 6 2103 1230 3012 0132 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 -3 0 3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.428903206430 0.683263462252 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_10']), '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_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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 16390884746047491081/3749882922815049728*c_1001_2^11 - 43414729618043093431/3749882922815049728*c_1001_2^10 + 322632777858823479851/1874941461407524864*c_1001_2^9 - 198300585519575308167/937470730703762432*c_1001_2^8 + 1636983586230268987155/3749882922815049728*c_1001_2^7 + 2545755509899271209943/3749882922815049728*c_1001_2^6 + 533561872371567816697/3749882922815049728*c_1001_2^5 - 9176796921551376786099/3749882922815049728*c_1001_2^4 - 8490177490647411613131/1874941461407524864*c_1001_2^3 - 3837448758228061563991/937470730703762432*c_1001_2^2 - 8353770772383273583747/3749882922815049728*c_1001_2 - 1963075809300297192501/3749882922815049728, c_0011_0 - 1, c_0011_10 + 383976431/50881955968*c_1001_2^11 + 492155117/50881955968*c_1001_2^10 - 8225894237/25440977984*c_1001_2^9 + 9972562891/12720488992*c_1001_2^8 - 65250991133/50881955968*c_1001_2^7 - 25850590717/50881955968*c_1001_2^6 + 115111123569/50881955968*c_1001_2^5 + 132266059497/50881955968*c_1001_2^4 + 48677244545/25440977984*c_1001_2^3 - 17856951919/12720488992*c_1001_2^2 - 6953385995/50881955968*c_1001_2 - 14180996297/50881955968, c_0011_11 - 219809979/203527823872*c_1001_2^11 - 1151886533/203527823872*c_1001_2^10 + 4267639697/101763911936*c_1001_2^9 + 3780385531/50881955968*c_1001_2^8 - 62887677063/203527823872*c_1001_2^7 + 170778006885/203527823872*c_1001_2^6 + 6448385611/203527823872*c_1001_2^5 - 480280531449/203527823872*c_1001_2^4 - 59000897809/101763911936*c_1001_2^3 - 49836783157/50881955968*c_1001_2^2 + 442469498039/203527823872*c_1001_2 - 19649082239/203527823872, c_0011_4 - 1370251145/203527823872*c_1001_2^11 - 438174591/203527823872*c_1001_2^10 + 29123643907/101763911936*c_1001_2^9 - 49892158127/50881955968*c_1001_2^8 + 461993019187/203527823872*c_1001_2^7 - 442678459089/203527823872*c_1001_2^6 + 185949010393/203527823872*c_1001_2^5 - 640712560971/203527823872*c_1001_2^4 + 66951203429/101763911936*c_1001_2^3 - 74187984515/50881955968*c_1001_2^2 + 4337677805/203527823872*c_1001_2 - 42363301597/203527823872, c_0011_8 - 123114149/101763911936*c_1001_2^11 + 168739197/101763911936*c_1001_2^10 + 2856525147/50881955968*c_1001_2^9 - 6730222897/25440977984*c_1001_2^8 + 54020221407/101763911936*c_1001_2^7 - 38334780581/101763911936*c_1001_2^6 - 89589972331/101763911936*c_1001_2^5 + 128761667809/101763911936*c_1001_2^4 - 1870340419/50881955968*c_1001_2^3 + 38780941419/25440977984*c_1001_2^2 - 77946192831/101763911936*c_1001_2 + 50903454495/101763911936, c_0101_0 - 1, c_0101_1 + 466038277/203527823872*c_1001_2^11 + 814408139/203527823872*c_1001_2^10 - 9980689991/101763911936*c_1001_2^9 + 9680060263/50881955968*c_1001_2^8 - 45152765751/203527823872*c_1001_2^7 - 94108445723/203527823872*c_1001_2^6 + 172731559051/203527823872*c_1001_2^5 + 222757195831/203527823872*c_1001_2^4 + 62741578647/101763911936*c_1001_2^3 - 27725099681/50881955968*c_1001_2^2 - 286577112377/203527823872*c_1001_2 - 82157826751/203527823872, c_0101_10 - 2226831725/203527823872*c_1001_2^11 - 799682115/203527823872*c_1001_2^10 + 48012119559/101763911936*c_1001_2^9 - 79870588035/50881955968*c_1001_2^8 + 678901794335/203527823872*c_1001_2^7 - 516354035709/203527823872*c_1001_2^6 - 94713643939/203527823872*c_1001_2^5 - 801155490191/203527823872*c_1001_2^4 + 125784025801/101763911936*c_1001_2^3 + 43579807861/50881955968*c_1001_2^2 + 173551888273/203527823872*c_1001_2 + 20148923079/203527823872, c_0101_11 - 16412160759/203527823872*c_1001_2^11 - 22574187785/203527823872*c_1001_2^10 + 343851949245/101763911936*c_1001_2^9 - 410758200605/50881955968*c_1001_2^8 + 3211678901149/203527823872*c_1001_2^7 - 622286317863/203527823872*c_1001_2^6 - 549280480121/203527823872*c_1001_2^5 - 9277643589325/203527823872*c_1001_2^4 - 2719920202525/101763911936*c_1001_2^3 - 327240186157/50881955968*c_1001_2^2 + 2585311658067/203527823872*c_1001_2 + 2289311218277/203527823872, c_0101_6 + 674049327/50881955968*c_1001_2^11 + 295205687/50881955968*c_1001_2^10 - 14364412701/25440977984*c_1001_2^9 + 5910508989/3180122248*c_1001_2^8 - 211430913521/50881955968*c_1001_2^7 + 184140017153/50881955968*c_1001_2^6 - 57068493111/50881955968*c_1001_2^5 + 323135033783/50881955968*c_1001_2^4 - 18121661825/25440977984*c_1001_2^3 + 6314145647/12720488992*c_1001_2^2 - 52628050955/50881955968*c_1001_2 - 28401131067/50881955968, c_0101_8 - 390542303/203527823872*c_1001_2^11 + 452900615/203527823872*c_1001_2^10 + 8907785661/101763911936*c_1001_2^9 - 20298369645/50881955968*c_1001_2^8 + 171756009397/203527823872*c_1001_2^7 - 167784022343/203527823872*c_1001_2^6 - 107931095281/203527823872*c_1001_2^5 + 62314266611/203527823872*c_1001_2^4 + 121574401019/101763911936*c_1001_2^3 + 90042692695/50881955968*c_1001_2^2 - 117362901909/203527823872*c_1001_2 - 19645602075/203527823872, c_1001_2^12 + 2*c_1001_2^11 - 41*c_1001_2^10 + 74*c_1001_2^9 - 135*c_1001_2^8 - 80*c_1001_2^7 + 50*c_1001_2^6 + 584*c_1001_2^5 + 695*c_1001_2^4 + 302*c_1001_2^3 - 97*c_1001_2^2 - 242*c_1001_2 - 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB