Magma V2.19-8 Wed Aug 21 2013 01:03:32 on localhost [Seed = 2429978787] Type ? for help. Type -D to quit. Loading file "L14n20363__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20363 geometric_solution 11.18847780 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 1 0 -1 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 1.065373445075 0.758211568262 0 2 6 5 0132 0321 0132 0132 0 1 1 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 -1 0 1 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 0.693945802004 0.849719955738 7 0 8 1 0132 0132 0132 0321 0 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 -2 0 2 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.953817693084 0.695537238881 9 8 6 0 0132 2031 2310 0132 0 1 1 0 0 -2 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 -1 1 0 -1 0 0 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 -0.215916419194 1.074668086169 5 8 0 10 1230 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376940110153 0.443423119270 11 4 1 12 0132 3012 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.534588849032 0.801731489234 10 3 12 1 3201 3201 0132 0132 0 1 0 1 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 1 0 0 -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 -0.668794356110 0.670088469560 2 9 9 8 0132 3120 1230 3012 1 0 0 1 0 0 0 0 -1 0 2 -1 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 0 1 -1 -1 0 1 0 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698528941616 0.992076518130 3 4 7 2 1302 0132 1230 0132 0 0 0 1 0 -1 1 0 0 0 0 0 2 0 0 -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 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389278079514 0.942333420263 3 7 11 7 0132 3120 0132 3012 1 1 0 1 0 1 0 -1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 1 0 0 -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 0.280411948104 0.922775508231 11 12 4 6 1302 0132 0132 2310 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989252864497 0.790359501118 5 10 12 9 0132 2031 3201 0132 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 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 0.382985453258 0.492961230488 11 10 5 6 2310 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634215918196 0.772051884577 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_11']), '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_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], '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_0011_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 176739048251802270473/3306044915772840780697600*c_1100_1^13 - 26774128762340939194607/3306044915772840780697600*c_1100_1^12 + 96385062563998270365761/3306044915772840780697600*c_1100_1^11 - 318417489238324996756101/3306044915772840780697600*c_1100_1^10 + 294618831471939697845229/3306044915772840780697600*c_1100_1^9 + 185127297806755046394043/1653022457886420390348800*c_1100_1^8 - 573506304428694075848521/826511228943210195174400*c_1100_1^7 + 8048732677260934429677/3973611677611587476800*c_1100_1^6 - 13397014981920243779558949/3306044915772840780697600*c_1100_1^5 + 1475131910777209986299173/413255614471605097587200*c_1100_1^4 - 13090052079454494570991/5749643331778853531648*c_1100_1^3 - 2355856003583041858499687/1653022457886420390348800*c_1100_1^2 + 2511943169404436879243371/826511228943210195174400*c_1100_1 - 43493197350050254252919/20662780723580254879360, c_0011_0 - 1, c_0011_10 - 2763875657752619/1727657251135472816*c_1100_1^13 + 22499838946035297/8638286255677364080*c_1100_1^12 - 15239464849097423/1727657251135472816*c_1100_1^11 - 154575877745894709/8638286255677364080*c_1100_1^10 + 85879143926673601/1727657251135472816*c_1100_1^9 - 119793551024487107/1079785781959670510*c_1100_1^8 + 17637747804073511/107978578195967051*c_1100_1^7 - 66768209734911953/1079785781959670510*c_1100_1^6 - 1374418828325071967/1727657251135472816*c_1100_1^5 + 4273318828810251953/4319143127838682040*c_1100_1^4 - 3132061763150652539/1727657251135472816*c_1100_1^3 + 51106007052736506/107978578195967051*c_1100_1^2 + 290498335943967727/1079785781959670510*c_1100_1 - 293885649663040303/215957156391934102, c_0011_11 + 3531489525977391/431914312783868204*c_1100_1^13 - 13912167830211624/539892890979835255*c_1100_1^12 + 8640958300767563/107978578195967051*c_1100_1^11 - 40254259108622409/1079785781959670510*c_1100_1^10 - 37179603459455619/215957156391934102*c_1100_1^9 + 1360167237833232593/2159571563919341020*c_1100_1^8 - 168392065856938942/107978578195967051*c_1100_1^7 + 1459000315699119813/539892890979835255*c_1100_1^6 - 373980009180239793/431914312783868204*c_1100_1^5 - 1682827028668685813/2159571563919341020*c_1100_1^4 + 1381305028336927989/431914312783868204*c_1100_1^3 - 821075684111928407/431914312783868204*c_1100_1^2 - 102850441043579957/539892890979835255*c_1100_1 + 251738550282969059/107978578195967051, c_0011_3 + 21592421317224027/8638286255677364080*c_1100_1^13 - 32316242777638833/8638286255677364080*c_1100_1^12 + 75214898876070091/8638286255677364080*c_1100_1^11 + 315396057154596781/8638286255677364080*c_1100_1^10 - 862273790442893421/8638286255677364080*c_1100_1^9 + 258167936283683881/2159571563919341020*c_1100_1^8 - 78788962305580849/539892890979835255*c_1100_1^7 - 133446891771542463/1079785781959670510*c_1100_1^6 + 13498243036841448831/8638286255677364080*c_1100_1^5 - 7101856773532577447/4319143127838682040*c_1100_1^4 + 2805730817728400967/1727657251135472816*c_1100_1^3 - 1079112234151753541/2159571563919341020*c_1100_1^2 - 1247922801240431753/1079785781959670510*c_1100_1 - 54171212715545479/215957156391934102, c_0011_4 - 7624839524697237/4319143127838682040*c_1100_1^13 + 24921568168324451/4319143127838682040*c_1100_1^12 - 40482651893372621/4319143127838682040*c_1100_1^11 - 81505218404312787/4319143127838682040*c_1100_1^10 + 548865199951402211/4319143127838682040*c_1100_1^9 - 221869737901117837/1079785781959670510*c_1100_1^8 + 223546715640895741/1079785781959670510*c_1100_1^7 + 10408057890531436/539892890979835255*c_1100_1^6 - 6374329049639098121/4319143127838682040*c_1100_1^5 + 7504814063776172379/2159571563919341020*c_1100_1^4 - 2445663278912099117/863828625567736408*c_1100_1^3 + 738682790140885293/539892890979835255*c_1100_1^2 + 1553519293961205907/1079785781959670510*c_1100_1 - 176402696915280350/107978578195967051, c_0011_6 - 3222758052978933/4319143127838682040*c_1100_1^13 + 8190856656966697/4319143127838682040*c_1100_1^12 - 15414028353740639/4319143127838682040*c_1100_1^11 - 42208331253008989/4319143127838682040*c_1100_1^10 + 178782267927432109/4319143127838682040*c_1100_1^9 - 154948241853824263/2159571563919341020*c_1100_1^8 + 68477537175440299/1079785781959670510*c_1100_1^7 - 14957058510132778/539892890979835255*c_1100_1^6 - 2163164806644113449/4319143127838682040*c_1100_1^5 + 1228503774870793159/1079785781959670510*c_1100_1^4 - 864773925076409065/863828625567736408*c_1100_1^3 + 1328673165814869403/2159571563919341020*c_1100_1^2 - 1132180802191173431/1079785781959670510*c_1100_1 - 49273842071806137/107978578195967051, c_0101_0 - 1, c_0101_1 - 4335015293620411/4319143127838682040*c_1100_1^13 + 3234668600308377/4319143127838682040*c_1100_1^12 - 7276939015631463/4319143127838682040*c_1100_1^11 - 79561976527021609/4319143127838682040*c_1100_1^10 + 131696763648122313/4319143127838682040*c_1100_1^9 - 4524023004589757/539892890979835255*c_1100_1^8 - 15161165421203597/1079785781959670510*c_1100_1^7 + 65927218528009202/539892890979835255*c_1100_1^6 - 2790213365582014503/4319143127838682040*c_1100_1^5 + 294274094644913923/2159571563919341020*c_1100_1^4 + 545623254914063869/863828625567736408*c_1100_1^3 - 965742965006255557/1079785781959670510*c_1100_1^2 + 1049136330363818869/1079785781959670510*c_1100_1 + 15914106040796730/107978578195967051, c_0101_11 + 7999446113935693/863828625567736408*c_1100_1^13 - 24994160392559737/863828625567736408*c_1100_1^12 + 79122496426695863/863828625567736408*c_1100_1^11 - 39266671438565307/863828625567736408*c_1100_1^10 - 153982324559373717/863828625567736408*c_1100_1^9 + 300866213024113615/431914312783868204*c_1100_1^8 - 383899346896731369/215957156391934102*c_1100_1^7 + 338801994022698738/107978578195967051*c_1100_1^6 - 1078300861668525535/863828625567736408*c_1100_1^5 - 57692237672873717/215957156391934102*c_1100_1^4 + 2780744563329501021/863828625567736408*c_1100_1^3 - 994401215805952671/431914312783868204*c_1100_1^2 + 27395988146500959/215957156391934102*c_1100_1 + 221401304069288633/107978578195967051, c_0101_2 + 1597610342316658/539892890979835255*c_1100_1^13 - 8066424451282183/2159571563919341020*c_1100_1^12 + 27611227334052761/2159571563919341020*c_1100_1^11 + 97917952901877161/2159571563919341020*c_1100_1^10 - 227167118962515461/2159571563919341020*c_1100_1^9 + 426082932734660609/2159571563919341020*c_1100_1^8 - 126279331519625151/539892890979835255*c_1100_1^7 - 88025446580296851/539892890979835255*c_1100_1^6 + 1068992703780113694/539892890979835255*c_1100_1^5 - 4614854933415715539/2159571563919341020*c_1100_1^4 + 836790510211237181/215957156391934102*c_1100_1^3 - 1421814914402266959/2159571563919341020*c_1100_1^2 - 369284423455377511/539892890979835255*c_1100_1 + 179310609606969049/107978578195967051, c_0101_3 - 3457218051295367/8638286255677364080*c_1100_1^13 + 8543435654453621/8638286255677364080*c_1100_1^12 + 4242461329118049/8638286255677364080*c_1100_1^11 - 48547217382629097/8638286255677364080*c_1100_1^10 + 240644080738791721/8638286255677364080*c_1100_1^9 + 21912402501940913/2159571563919341020*c_1100_1^8 - 18159408532957087/1079785781959670510*c_1100_1^7 + 49354680464656631/1079785781959670510*c_1100_1^6 - 2844875394006686091/8638286255677364080*c_1100_1^5 + 1080310277520561739/4319143127838682040*c_1100_1^4 + 1424661013958283061/1727657251135472816*c_1100_1^3 + 19928769191629441/2159571563919341020*c_1100_1^2 + 379836085386979543/539892890979835255*c_1100_1 + 96334780147599865/215957156391934102, c_1001_2 - 9558124685554331/4319143127838682040*c_1100_1^13 + 7941992245597669/4319143127838682040*c_1100_1^12 - 39808426314364883/4319143127838682040*c_1100_1^11 - 153627574550745333/4319143127838682040*c_1100_1^10 + 275551969997598813/4319143127838682040*c_1100_1^9 - 135567345440418173/1079785781959670510*c_1100_1^8 + 184081125863810003/1079785781959670510*c_1100_1^7 + 102982505090429629/539892890979835255*c_1100_1^6 - 6388776823596796103/4319143127838682040*c_1100_1^5 + 2157847383674129221/2159571563919341020*c_1100_1^4 - 2482388115768539659/863828625567736408*c_1100_1^3 + 23285437146849389/539892890979835255*c_1100_1^2 + 2950535431061598963/1079785781959670510*c_1100_1 - 130036767535162912/107978578195967051, c_1100_1^14 - c_1100_1^13 + 3*c_1100_1^12 + 17*c_1100_1^11 - 33*c_1100_1^10 + 38*c_1100_1^9 - 32*c_1100_1^8 - 88*c_1100_1^7 + 653*c_1100_1^6 - 448*c_1100_1^5 + 445*c_1100_1^4 + 358*c_1100_1^3 - 568*c_1100_1^2 + 280*c_1100_1 + 400 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.430 seconds, Total memory usage: 32.09MB