Magma V2.19-8 Tue Aug 20 2013 23:46:10 on localhost [Seed = 3246894016] Type ? for help. Type -D to quit. Loading file "K14n15154__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15154 geometric_solution 10.48212168 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 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 -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 -0.715140720610 0.810630275185 0 4 6 5 0132 3012 0132 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 -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 -0.148081449302 0.941278409522 4 0 7 3 3012 0132 0132 3012 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 -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 0.380629128330 0.747609178474 5 6 2 0 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.148081449302 0.941278409522 1 8 0 2 1230 0132 0132 1230 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 0 -1 1 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 0.380629128330 0.747609178474 9 10 1 3 0132 0132 0132 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 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 -0.129407058057 1.563882081869 8 7 3 1 3120 3120 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269854632527 0.647926157810 11 6 9 2 0132 3120 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 1 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725351906473 0.648116050477 10 4 11 6 3201 0132 1023 3120 0 0 0 0 0 -1 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 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 0.725351906473 0.648116050477 5 11 7 10 0132 3120 1023 1302 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 1 -1 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 0.162230604538 0.572480333170 11 5 9 8 3120 0132 2031 2310 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 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 0.162230604538 0.572480333170 7 9 8 10 0132 3120 1023 3120 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 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 1.251482215308 0.495414517919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_0_11' : 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_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_6']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3942232389082591399/5835698153521280*c_0110_2^11 - 226239639620982927257/25531179421655600*c_0110_2^10 + 44947039267231517288919/510623588433112000*c_0110_2^9 - 26119736412947758949/78017354993600*c_0110_2^8 + 381774644728885405982769/510623588433112000*c_0110_2^7 - 562235135038002254965743/510623588433112000*c_0110_2^6 + 573167321392959187602321/510623588433112000*c_0110_2^5 - 23883408934501468435999/30036681672536000*c_0110_2^4 + 17433970040204054876289/46420326221192000*c_0110_2^3 - 1577257136262735143523/14589245383803200*c_0110_2^2 + 1789597602076238307611/127655897108278000*c_0110_2 - 16201643671853422459/12014672669014400, c_0011_0 - 1, c_0011_10 + 293035269/64565578*c_0110_2^11 - 8494745899/161413945*c_0110_2^10 + 409047888877/807069725*c_0110_2^9 - 229781996658/161413945*c_0110_2^8 + 170723779707/73369975*c_0110_2^7 - 1735401670094/807069725*c_0110_2^6 + 858243549343/807069725*c_0110_2^5 + 4630286776/73369975*c_0110_2^4 - 279348652393/807069725*c_0110_2^3 + 30486240292/161413945*c_0110_2^2 - 8656208573/807069725*c_0110_2 + 321667571/322827890, c_0011_11 + 458001121/516524624*c_0110_2^11 - 4421866479/322827890*c_0110_2^10 + 906306754743/6456557800*c_0110_2^9 - 879165991377/1291311560*c_0110_2^8 + 1017519861363/586959800*c_0110_2^7 - 18350668274871/6456557800*c_0110_2^6 + 20082157810537/6456557800*c_0110_2^5 - 1368510709141/586959800*c_0110_2^4 + 7254108858363/6456557800*c_0110_2^3 - 58739559491/184473080*c_0110_2^2 + 47669449967/1614139450*c_0110_2 - 5772288651/2582623120, c_0011_3 + 38935287/64565578*c_0110_2^11 - 888234027/161413945*c_0110_2^10 + 39418375221/807069725*c_0110_2^9 - 1325210549/161413945*c_0110_2^8 - 21963996389/73369975*c_0110_2^7 + 729967337838/807069725*c_0110_2^6 - 1070164893811/807069725*c_0110_2^5 + 88705987673/73369975*c_0110_2^4 - 539006797039/807069725*c_0110_2^3 + 34623953726/161413945*c_0110_2^2 - 19813501779/807069725*c_0110_2 + 799490233/322827890, c_0011_6 - 90366599/64565578*c_0110_2^11 + 2838586204/161413945*c_0110_2^10 - 19966403931/115295675*c_0110_2^9 + 13931906609/23059135*c_0110_2^8 - 93608486022/73369975*c_0110_2^7 + 1422817571324/807069725*c_0110_2^6 - 1370383588228/807069725*c_0110_2^5 + 81992433779/73369975*c_0110_2^4 - 397726049247/807069725*c_0110_2^3 + 20578911713/161413945*c_0110_2^2 - 15310705667/807069725*c_0110_2 + 487962759/322827890, c_0101_0 - 4104174/4611827*c_0110_2^11 + 1177525906/161413945*c_0110_2^10 - 49903881388/807069725*c_0110_2^9 - 14255374638/161413945*c_0110_2^8 + 57290370167/73369975*c_0110_2^7 - 1629874560014/807069725*c_0110_2^6 + 2288050724583/807069725*c_0110_2^5 - 187029757144/73369975*c_0110_2^4 + 1131719469392/807069725*c_0110_2^3 - 72478228698/161413945*c_0110_2^2 + 35527956462/807069725*c_0110_2 - 682626852/161413945, c_0101_1 - 1965126203/516524624*c_0110_2^11 + 15939867847/322827890*c_0110_2^10 - 3158745765949/6456557800*c_0110_2^9 + 2352110876971/1291311560*c_0110_2^8 - 2345873356809/586959800*c_0110_2^7 + 37091205256253/6456557800*c_0110_2^6 - 36794126177891/6456557800*c_0110_2^5 + 2279060613463/586959800*c_0110_2^4 - 11274423478209/6456557800*c_0110_2^3 + 595236131031/1291311560*c_0110_2^2 - 84852320431/1614139450*c_0110_2 + 9704767833/2582623120, c_0101_10 - 2147916545/516524624*c_0110_2^11 + 3465533241/64565578*c_0110_2^10 - 685693783147/1291311560*c_0110_2^\ 9 + 504701961957/258262312*c_0110_2^8 - 497567456767/117391960*c_0110_2^7 + 7762816395099/1291311560*c_0110_2^6 - 7579094756493/1291311560*c_0110_2^5 + 459213271369/117391960*c_0110_2^4 - 2189334501087/1291311560*c_0110_2^3 + 15246125119/36894616*c_0110_2^2 - 7686009/218570*c_0110_2 + 1572918495/516524624, c_0101_11 + 5808713/64565578*c_0110_2^11 + 221584777/161413945*c_0110_2^10 - 2312265478/115295675*c_0110_2^9 + 6150239202/23059135*c_0110_2^8 - 70126863686/73369975*c_0110_2^7 + 1580319621312/807069725*c_0110_2^6 - 2031225884614/807069725*c_0110_2^5 + 158941781652/73369975*c_0110_2^4 - 956910096686/807069725*c_0110_2^3 + 62268379254/161413945*c_0110_2^2 - 35829354871/807069725*c_0110_2 + 854830987/322827890, c_0101_3 - 620976107/516524624*c_0110_2^11 + 5607276343/322827890*c_0110_2^10 - 162268491683/922365400*c_0110_2^9 + 1011506050579/1291311560*c_0110_2^8 - 1126541499721/586959800*c_0110_2^7 + 19769423308157/6456557800*c_0110_2^6 - 21374709196979/6456557800*c_0110_2^5 + 1452125770447/586959800*c_0110_2^4 - 1117769440703/922365400*c_0110_2^3 + 461286377879/1291311560*c_0110_2^2 - 65453437589/1614139450*c_0110_2 + 970360991/368946160, c_0101_7 + 32448607/46956784*c_0110_2^11 - 31803299/4192570*c_0110_2^10 + 42236943281/586959800*c_0110_2^9 - 19405886359/117391960*c_0110_2^8 + 107556388431/586959800*c_0110_2^7 + 30969364943/586959800*c_0110_2^6 - 218060123521/586959800*c_0110_2^5 + 308144763383/586959800*c_0110_2^4 - 210702575779/586959800*c_0110_2^3 + 16043188541/117391960*c_0110_2^2 - 1515924611/146739950*c_0110_2 + 41965883/234783920, c_0110_2^12 - 67/5*c_0110_2^11 + 3366/25*c_0110_2^10 - 540*c_0110_2^9 + 33016/25*c_0110_2^8 - 54332/25*c_0110_2^7 + 64004/25*c_0110_2^6 - 54332/25*c_0110_2^5 + 33016/25*c_0110_2^4 - 540*c_0110_2^3 + 3366/25*c_0110_2^2 - 67/5*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.870 Total time: 3.080 seconds, Total memory usage: 64.12MB