Magma V2.19-8 Tue Aug 20 2013 17:58:11 on localhost [Seed = 1259011867] Type ? for help. Type -D to quit. Loading file "10^2_159__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_159 geometric_solution 11.72202299 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 1 -1 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 0.920935565915 1.580494478558 0 5 7 6 0132 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 -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 0.433768770113 0.759917235005 6 0 7 4 3012 0132 3012 0213 0 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 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057286232625 0.911066281424 8 9 9 0 0132 0132 0321 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 1 0 -1 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 0.180975216888 0.778308550041 10 11 0 2 0132 0132 0132 0213 0 1 0 1 0 0 0 0 0 0 0 0 -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 -1 1 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 0.604768749439 0.566213979605 6 1 8 12 0321 0132 0321 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 0.749887964853 0.697474273728 5 8 1 2 0321 0321 0132 1230 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 -1 0 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 0.644312591812 0.326233060562 11 2 10 1 3120 1230 3120 0132 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 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118854130989 0.824971709547 3 12 5 6 0132 0132 0321 0321 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 -1 0 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 -1.240594102798 1.517326248693 12 3 3 12 0132 0132 0321 0213 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 -1 0 1 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 0.180975216888 0.778308550041 4 11 7 11 0132 0213 3120 3120 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 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 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681761688682 0.544257555929 10 4 10 7 3120 0132 0213 3120 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681761688682 0.544257555929 9 8 5 9 0132 0132 0132 0213 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 1 0 -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 0.180975216888 0.778308550041 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : 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_10'], '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' : negation(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' : negation(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_1001_3'], 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_3'], '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'], 'c_1100_12' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : 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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), '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_0011_6'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_0, c_1001_10, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 156881412855/15238880366*c_1001_5^15 - 393402152688/7619440183*c_1001_5^14 - 706347329845/15238880366*c_1001_5^13 + 2981438857091/15238880366*c_1001_5^12 + 3403550064393/7619440183*c_1001_5^11 - 614747955445/7619440183*c_1001_5^10 - 8326538830780/7619440183*c_1001_5^9 - 9486590365691/15238880366*c_1001_5^8 + 18704381130451/15238880366*c_1001_5^7 + 9155477087879/7619440183*c_1001_5^6 - 10643519317183/15238880366*c_1001_5^5 - 14101462826211/15238880366*c_1001_5^4 + 1381814501208/7619440183*c_1001_5^3 + 2485227314740/7619440183*c_1001_5^2 - 47168462943/7619440183*c_1001_5 - 752067669717/15238880366, c_0011_0 - 1, c_0011_10 - 818769/962932*c_1001_5^15 - 5794625/962932*c_1001_5^14 - 13510575/962932*c_1001_5^13 + 1563125/962932*c_1001_5^12 + 63207589/962932*c_1001_5^11 + 94337773/962932*c_1001_5^10 - 42516849/962932*c_1001_5^9 - 240703807/962932*c_1001_5^8 - 147609285/962932*c_1001_5^7 + 202787207/962932*c_1001_5^6 + 275997769/962932*c_1001_5^5 - 20480871/962932*c_1001_5^4 - 170395763/962932*c_1001_5^3 - 49097131/962932*c_1001_5^2 + 33585807/962932*c_1001_5 + 17359221/962932, c_0011_12 - 1160133/962932*c_1001_5^15 - 2390785/240733*c_1001_5^14 - 27421821/962932*c_1001_5^13 - 6535939/481466*c_1001_5^12 + 99519455/962932*c_1001_5^11 + 104382589/481466*c_1001_5^10 + 15488179/962932*c_1001_5^9 - 104793258/240733*c_1001_5^8 - 408128983/962932*c_1001_5^7 + 121340133/481466*c_1001_5^6 + 563063845/962932*c_1001_5^5 + 20043916/240733*c_1001_5^4 - 300551743/962932*c_1001_5^3 - 31215992/240733*c_1001_5^2 + 53795665/962932*c_1001_5 + 16002971/481466, c_0011_6 + 841605/962932*c_1001_5^15 + 1468954/240733*c_1001_5^14 + 3354714/240733*c_1001_5^13 - 1367683/962932*c_1001_5^12 - 59103341/962932*c_1001_5^11 - 43361533/481466*c_1001_5^10 + 8773498/240733*c_1001_5^9 + 204713131/962932*c_1001_5^8 + 125869423/962932*c_1001_5^7 - 77723591/481466*c_1001_5^6 - 105963781/481466*c_1001_5^5 + 9735183/962932*c_1001_5^4 + 121212777/962932*c_1001_5^3 + 8738525/240733*c_1001_5^2 - 11673451/481466*c_1001_5 - 9791247/962932, c_0011_7 - 132072/240733*c_1001_5^15 - 907897/240733*c_1001_5^14 - 3968673/481466*c_1001_5^13 + 572376/240733*c_1001_5^12 + 9465641/240733*c_1001_5^11 + 24815357/481466*c_1001_5^10 - 15971141/481466*c_1001_5^9 - 64534547/481466*c_1001_5^8 - 15279620/240733*c_1001_5^7 + 28132815/240733*c_1001_5^6 + 61586377/481466*c_1001_5^5 - 5307398/240733*c_1001_5^4 - 18640524/240733*c_1001_5^3 - 9229447/481466*c_1001_5^2 + 6627701/481466*c_1001_5 + 3443269/481466, c_0101_0 + 1040727/962932*c_1001_5^15 + 7779785/962932*c_1001_5^14 + 9529179/481466*c_1001_5^13 + 118157/481466*c_1001_5^12 - 82544389/962932*c_1001_5^11 - 127097505/962932*c_1001_5^10 + 23938813/481466*c_1001_5^9 + 149719325/481466*c_1001_5^8 + 180429501/962932*c_1001_5^7 - 237691209/962932*c_1001_5^6 - 75807604/240733*c_1001_5^5 + 7553730/240733*c_1001_5^4 + 171394777/962932*c_1001_5^3 + 44892797/962932*c_1001_5^2 - 7913107/240733*c_1001_5 - 3928726/240733, c_0101_1 - 427179/481466*c_1001_5^15 - 6208159/962932*c_1001_5^14 - 14970065/962932*c_1001_5^13 - 74786/240733*c_1001_5^12 + 32057053/481466*c_1001_5^11 + 100499881/962932*c_1001_5^10 - 33030177/962932*c_1001_5^9 - 58235569/240733*c_1001_5^8 - 37608634/240733*c_1001_5^7 + 179144707/962932*c_1001_5^6 + 246478785/962932*c_1001_5^5 - 9361483/481466*c_1001_5^4 - 35423901/240733*c_1001_5^3 - 34179761/962932*c_1001_5^2 + 28245009/962932*c_1001_5 + 6065867/481466, c_0101_10 - 132072/240733*c_1001_5^15 - 907897/240733*c_1001_5^14 - 3968673/481466*c_1001_5^13 + 572376/240733*c_1001_5^12 + 9465641/240733*c_1001_5^11 + 24815357/481466*c_1001_5^10 - 15971141/481466*c_1001_5^9 - 64534547/481466*c_1001_5^8 - 15279620/240733*c_1001_5^7 + 28132815/240733*c_1001_5^6 + 61586377/481466*c_1001_5^5 - 5307398/240733*c_1001_5^4 - 18640524/240733*c_1001_5^3 - 9229447/481466*c_1001_5^2 + 6627701/481466*c_1001_5 + 3443269/481466, c_0101_2 - 1, c_1001_0 - 1, c_1001_10 - 194037/240733*c_1001_5^15 - 2851289/481466*c_1001_5^14 - 3398547/240733*c_1001_5^13 + 525335/481466*c_1001_5^12 + 15359035/240733*c_1001_5^11 + 45223121/481466*c_1001_5^10 - 10704491/240733*c_1001_5^9 - 112818007/481466*c_1001_5^8 - 31439978/240733*c_1001_5^7 + 96791095/481466*c_1001_5^6 + 58830118/240733*c_1001_5^5 - 16945019/481466*c_1001_5^4 - 36366582/240733*c_1001_5^3 - 16800997/481466*c_1001_5^2 + 7320364/240733*c_1001_5 + 6410649/481466, c_1001_3 + 775611/962932*c_1001_5^15 + 5021259/962932*c_1001_5^14 + 9765711/962932*c_1001_5^13 - 6305535/962932*c_1001_5^12 - 50806183/962932*c_1001_5^11 - 53343917/962932*c_1001_5^10 + 56932165/962932*c_1001_5^9 + 153931777/962932*c_1001_5^8 + 41876003/962932*c_1001_5^7 - 145271557/962932*c_1001_5^6 - 117152169/962932*c_1001_5^5 + 39731453/962932*c_1001_5^4 + 74722977/962932*c_1001_5^3 + 14376979/962932*c_1001_5^2 - 15689411/962932*c_1001_5 - 7018319/962932, c_1001_5^16 + 20/3*c_1001_5^15 + 38/3*c_1001_5^14 - 38/3*c_1001_5^13 - 78*c_1001_5^12 - 196/3*c_1001_5^11 + 388/3*c_1001_5^10 + 254*c_1001_5^9 - 70/3*c_1001_5^8 - 1048/3*c_1001_5^7 - 142*c_1001_5^6 + 698/3*c_1001_5^5 + 466/3*c_1001_5^4 - 220/3*c_1001_5^3 - 64*c_1001_5^2 + 22/3*c_1001_5 + 31/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB