Magma V2.19-8 Wed Aug 21 2013 01:05:18 on localhost [Seed = 1613134071] Type ? for help. Type -D to quit. Loading file "L14n25701__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25701 geometric_solution 11.98733873 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 0 1 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 0.464098455082 0.805214216967 0 5 4 6 0132 0132 0132 0132 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 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 0.475102368387 1.005895319997 7 0 8 4 0132 0132 0132 2031 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 1 -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 0.494161825999 1.050222842445 9 10 6 0 0132 0132 0132 0132 1 0 1 1 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 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442117242523 0.562530295005 10 2 0 1 2103 1302 0132 0132 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 0 0 0 1 -1 0 1 0 -1 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 -0.539754685564 0.741641827903 11 1 7 8 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333465548570 0.292661290750 9 11 1 3 2103 0213 0132 0132 1 0 1 1 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794926063870 1.241022300208 2 11 8 5 0132 0132 3012 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 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 1.003282686824 1.438809967675 9 7 5 2 1023 1230 0132 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 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 0.845891092521 1.341605105060 3 8 6 12 0132 1023 2103 0132 1 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 -1 3 -2 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 0.955657965555 0.927204596156 12 3 4 12 0132 0132 2103 2103 1 0 1 1 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 0 0 0 2 0 -1 -1 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532272515315 0.850799390945 5 7 6 12 0132 0132 0213 2031 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 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 0.294157101801 1.029580470671 10 11 9 10 0132 1302 0132 2103 1 0 1 1 0 0 -1 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 0 2 -2 -2 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 0.532272515315 0.850799390945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : 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_0011_6'], 'c_0101_10' : d['c_0101_1'], '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_12' : 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_1100_9' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_7'], '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'], 'c_1100_12' : negation(d['c_0101_12']), '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_10'], 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], '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' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], '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_0101_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6245836424623137898735350733536/597736116182050713344113675*c_1100_\ 0^11 - 166994621840540304537052993208468/17932083485461521400323410\ 25*c_1100_0^10 - 18273819297491734016386858325392/35864166970923042\ 8006468205*c_1100_0^9 + 36922229611574921959699121914976/7172833394\ 1846085601293641*c_1100_0^8 + 1726131099465579843108771790846097/17\ 93208348546152140032341025*c_1100_0^7 + 42787117443923095426453523727569/71728333941846085601293641*c_1100_\ 0^6 - 3859326001566241426383844866923611/17932083485461521400323410\ 25*c_1100_0^5 - 2782256877039400357176830822819749/5977361161820507\ 13344113675*c_1100_0^4 - 8530603737915330163770721815562253/1793208\ 348546152140032341025*c_1100_0^3 - 8612359239943653393638185688580878/1793208348546152140032341025*c_1\ 100_0^2 - 5068650686420060482808403784469567/1793208348546152140032\ 341025*c_1100_0 - 2074620747624431840137163319515191/17932083485461\ 52140032341025, c_0011_0 - 1, c_0011_10 + 1304224798940404120052/3524341184710709073079*c_1100_0^11 + 1568080164978255895620/3524341184710709073079*c_1100_0^10 - 6866331338798096081347/3524341184710709073079*c_1100_0^9 - 13440115318867464940562/3524341184710709073079*c_1100_0^8 - 11198140386087362990549/3524341184710709073079*c_1100_0^7 + 28696236136912237700481/3524341184710709073079*c_1100_0^6 + 64308394522245500321665/3524341184710709073079*c_1100_0^5 + 58204476828822956234428/3524341184710709073079*c_1100_0^4 + 63572453347195293863602/3524341184710709073079*c_1100_0^3 + 37335340788358828287166/3524341184710709073079*c_1100_0^2 + 121202515260419889890/34894467175353555179*c_1100_0 - 1215184902356064658841/3524341184710709073079, c_0011_4 - 931564702918223885472/3524341184710709073079*c_1100_0^11 - 1420631288306664697039/3524341184710709073079*c_1100_0^10 + 4513962866909520062359/3524341184710709073079*c_1100_0^9 + 11301947432968219710333/3524341184710709073079*c_1100_0^8 + 11480164021244604677303/3524341184710709073079*c_1100_0^7 - 18352593202180458057101/3524341184710709073079*c_1100_0^6 - 54507549130759244170518/3524341184710709073079*c_1100_0^5 - 58542612438109445329093/3524341184710709073079*c_1100_0^4 - 53588091528536085062161/3524341184710709073079*c_1100_0^3 - 35156589954344681727904/3524341184710709073079*c_1100_0^2 - 154353214383369456042/34894467175353555179*c_1100_0 + 1003350100526635877969/3524341184710709073079, c_0011_6 - 1790367050636764457013/3524341184710709073079*c_1100_0^11 - 2108678576610649907533/3524341184710709073079*c_1100_0^10 + 9138384197259136419482/3524341184710709073079*c_1100_0^9 + 17810483087251896294198/3524341184710709073079*c_1100_0^8 + 17050237281090924784341/3524341184710709073079*c_1100_0^7 - 36018854853364157830649/3524341184710709073079*c_1100_0^6 - 86735520852179019130855/3524341184710709073079*c_1100_0^5 - 87790528569760361045340/3524341184710709073079*c_1100_0^4 - 100010811850101715486754/3524341184710709073079*c_1100_0^3 - 55031781127112629247296/3524341184710709073079*c_1100_0^2 - 248282505737433814137/34894467175353555179*c_1100_0 - 222442887979436540798/3524341184710709073079, c_0101_0 - 1, c_0101_1 - 18180541528666407683/34894467175353555179*c_1100_0^11 - 20998323136623227169/34894467175353555179*c_1100_0^10 + 93413711202178894428/34894467175353555179*c_1100_0^9 + 180079222832383397312/34894467175353555179*c_1100_0^8 + 168133335163699414123/34894467175353555179*c_1100_0^7 - 376878477693983939082/34894467175353555179*c_1100_0^6 - 874540305438769715536/34894467175353555179*c_1100_0^5 - 874176205485441215912/34894467175353555179*c_1100_0^4 - 962941038885431030236/34894467175353555179*c_1100_0^3 - 514598062092064900548/34894467175353555179*c_1100_0^2 - 223314497319431178978/34894467175353555179*c_1100_0 + 2953817563776982733/34894467175353555179, c_0101_12 + 16377869294855500042/34894467175353555179*c_1100_0^11 + 21695875705371779065/34894467175353555179*c_1100_0^10 - 84295469604860843548/34894467175353555179*c_1100_0^9 - 180151909938578794026/34894467175353555179*c_1100_0^8 - 159537289771147855156/34894467175353555179*c_1100_0^7 + 347738090823602686127/34894467175353555179*c_1100_0^6 + 861739256581604777259/34894467175353555179*c_1100_0^5 + 831783856019631407780/34894467175353555179*c_1100_0^4 + 846195676296392790313/34894467175353555179*c_1100_0^3 + 515397447406086434515/34894467175353555179*c_1100_0^2 + 192199160493485456635/34894467175353555179*c_1100_0 - 16093758728264202980/34894467175353555179, c_0101_2 - 646359674863742804939/3524341184710709073079*c_1100_0^11 - 700565046980211167575/3524341184710709073079*c_1100_0^10 + 3346394858370348827517/3524341184710709073079*c_1100_0^9 + 6090259628394651641574/3524341184710709073079*c_1100_0^8 + 5608534968417263479550/3524341184710709073079*c_1100_0^7 - 13333999557460349065020/3524341184710709073079*c_1100_0^6 - 29502102045077006233759/3524341184710709073079*c_1100_0^5 - 29172594994265034483070/3524341184710709073079*c_1100_0^4 - 33813448749630146773484/3524341184710709073079*c_1100_0^3 - 18031468979608856423161/3524341184710709073079*c_1100_0^2 - 108899275877639640839/34894467175353555179*c_1100_0 - 811722267806387192618/3524341184710709073079, c_0101_7 + 148623243771242129097/3524341184710709073079*c_1100_0^11 - 86604525053729016783/3524341184710709073079*c_1100_0^10 - 1021526314050414508437/3524341184710709073079*c_1100_0^9 + 137928172671283650094/3524341184710709073079*c_1100_0^8 + 1015478292019862961746/3524341184710709073079*c_1100_0^7 + 3593826933962638499459/3524341184710709073079*c_1100_0^6 + 609533904196224623380/3524341184710709073079*c_1100_0^5 - 4106625063199237948210/3524341184710709073079*c_1100_0^4 + 2655165853420026138361/3524341184710709073079*c_1100_0^3 - 1892788616622768138542/3524341184710709073079*c_1100_0^2 - 14753235720599851656/34894467175353555179*c_1100_0 + 505770286385854299403/3524341184710709073079, c_1001_1 - 82975836935541298814/3524341184710709073079*c_1100_0^11 - 397554011174709720864/3524341184710709073079*c_1100_0^10 + 283453021512014074892/3524341184710709073079*c_1100_0^9 + 2539856852138321548860/3524341184710709073079*c_1100_0^8 + 2615998487610130409260/3524341184710709073079*c_1100_0^7 - 542209354610843426135/3524341184710709073079*c_1100_0^6 - 11536478500224567917478/3524341184710709073079*c_1100_0^5 - 13660443037692953872137/3524341184710709073079*c_1100_0^4 - 9565400004893857195107/3524341184710709073079*c_1100_0^3 - 13709351972296930214277/3524341184710709073079*c_1100_0^2 - 35823068232067913213/34894467175353555179*c_1100_0 + 574704094687314824467/3524341184710709073079, c_1001_11 - 680446111830858894430/3524341184710709073079*c_1100_0^11 - 1544056509649975543610/3524341184710709073079*c_1100_0^10 + 2867900041580545869780/3524341184710709073079*c_1100_0^9 + 11082429813082997053209/3524341184710709073079*c_1100_0^8 + 12451169389811314813230/3524341184710709073079*c_1100_0^7 - 10439745086441349869253/3524341184710709073079*c_1100_0^6 - 50800820354476292445754/3524341184710709073079*c_1100_0^5 - 64562765272178800612930/3524341184710709073079*c_1100_0^4 - 56457890438918212410937/3524341184710709073079*c_1100_0^3 - 44678491179592041949060/3524341184710709073079*c_1100_0^2 - 168725516818787303359/34894467175353555179*c_1100_0 + 663732015825949397019/3524341184710709073079, c_1001_3 - 533424835493998082258/3524341184710709073079*c_1100_0^11 - 1000717229203671375796/3524341184710709073079*c_1100_0^10 + 2520283066555975159894/3524341184710709073079*c_1100_0^9 + 7577653595530152315677/3524341184710709073079*c_1100_0^8 + 7522223364649309950541/3524341184710709073079*c_1100_0^7 - 10385101008378285292184/3524341184710709073079*c_1100_0^6 - 35557715173985704750257/3524341184710709073079*c_1100_0^5 - 37345165449749811021378/3524341184710709073079*c_1100_0^4 - 34484210688985498799363/3524341184710709073079*c_1100_0^3 - 26905278227732045588052/3524341184710709073079*c_1100_0^2 - 70866734499521450261/34894467175353555179*c_1100_0 - 210029524281366067319/3524341184710709073079, c_1100_0^12 + 16/13*c_1100_0^11 - 67/13*c_1100_0^10 - 135/13*c_1100_0^9 - 122/13*c_1100_0^8 + 21*c_1100_0^7 + 651/13*c_1100_0^6 + 633/13*c_1100_0^5 + 680/13*c_1100_0^4 + 386/13*c_1100_0^3 + 160/13*c_1100_0^2 - 12/13*c_1100_0 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.850 Total time: 1.060 seconds, Total memory usage: 32.09MB