Magma V2.19-8 Wed Aug 21 2013 00:55:08 on localhost [Seed = 2362087138] Type ? for help. Type -D to quit. Loading file "L13a1382__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a1382 geometric_solution 11.47042502 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372733594815 1.067086028375 0 4 5 0 0132 0132 0132 2031 1 1 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 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 0.409406549854 0.696469642982 4 4 5 0 0132 1230 3120 0132 1 1 0 1 0 0 0 0 0 0 0 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372733594815 1.067086028375 6 4 0 7 0132 1302 0132 0132 1 1 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 -1 1 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 0.137203913885 0.720882760542 2 1 2 3 0132 0132 3012 2031 1 1 1 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 0 1 -1 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 0.708255524763 0.835225098332 7 6 2 1 3120 3120 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745209448879 1.338694434085 3 5 8 9 0132 3120 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725423055391 1.259555831681 9 10 3 5 0132 0132 0132 3120 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 -1 0 -1 0 0 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 0.725423055391 1.259555831681 9 11 10 6 3120 0132 1302 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 -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 0.232720698595 0.385265291899 7 10 6 8 0132 0213 0132 3120 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 1 0 0 -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 1.082689700656 0.741646647446 8 7 9 11 2031 0132 0213 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 1 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 0.232720698595 0.385265291899 12 8 10 12 0132 0132 0132 3201 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 0.522779749809 1.267744910284 11 11 12 12 0132 2310 1230 3012 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 1.924610169259 0.364565409543 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_11'], 's_3_11' : 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' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_11'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_12'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_1'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], '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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0101_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 967295704187089882539/6180234590153040698*c_0101_6^10 - 3317203389749617076738/3090117295076520349*c_0101_6^9 + 8903997004055986914424/3090117295076520349*c_0101_6^8 - 18742219034047255194119/6180234590153040698*c_0101_6^7 - 2905050222934856748752/3090117295076520349*c_0101_6^6 + 414008581135746321447/84660747810315626*c_0101_6^5 - 8814735355844034197546/3090117295076520349*c_0101_6^4 - 10538955001419592042579/6180234590153040698*c_0101_6^3 + 6296211867762078361883/3090117295076520349*c_0101_6^2 + 152354995170296296574/3090117295076520349*c_0101_6 - 1340218519285742516578/3090117295076520349, c_0011_0 - 1, c_0011_10 + 784319786/1271012893*c_0101_6^10 - 6155071870/1271012893*c_0101_6^9 + 16306581520/1271012893*c_0101_6^8 - 8697302002/1271012893*c_0101_6^7 - 36148445900/1271012893*c_0101_6^6 + 60955325140/1271012893*c_0101_6^5 - 5197489964/1271012893*c_0101_6^4 - 53579946114/1271012893*c_0101_6^3 + 29407150349/1271012893*c_0101_6^2 + 11901503108/1271012893*c_0101_6 - 9289361823/1271012893, c_0011_11 - 3205004492/1271012893*c_0101_6^10 + 22434801464/1271012893*c_0101_6^9 - 61830888508/1271012893*c_0101_6^8 + 70391800564/1271012893*c_0101_6^7 + 5557820716/1271012893*c_0101_6^6 - 89005409824/1271012893*c_0101_6^5 + 64276165979/1271012893*c_0101_6^4 + 13934757016/1271012893*c_0101_6^3 - 27495243037/1271012893*c_0101_6^2 + 2812181016/1271012893*c_0101_6 + 3428284207/1271012893, c_0011_3 + 4883457910/1271012893*c_0101_6^10 - 31234116166/1271012893*c_0101_6^9 + 77760834044/1271012893*c_0101_6^8 - 68101013206/1271012893*c_0101_6^7 - 54232991064/1271012893*c_0101_6^6 + 156570890676/1271012893*c_0101_6^5 - 69272954484/1271012893*c_0101_6^4 - 77002264870/1271012893*c_0101_6^3 + 72236003834/1271012893*c_0101_6^2 + 7948159682/1271012893*c_0101_6 - 17619966493/1271012893, c_0011_5 - c_0101_6, c_0101_0 + 1, c_0101_1 - 1, c_0101_11 + 6920267622/1271012893*c_0101_6^10 - 45151668854/1271012893*c_0101_6^9 + 113223034668/1271012893*c_0101_6^8 - 103550646102/1271012893*c_0101_6^7 - 54547812824/1271012893*c_0101_6^6 + 173741439815/1271012893*c_0101_6^5 - 76795094822/1271012893*c_0101_6^4 - 60208030910/1271012893*c_0101_6^3 + 49123389546/1271012893*c_0101_6^2 + 5521135245/1271012893*c_0101_6 - 8069599458/1271012893, c_0101_12 - 3297190987/1271012893*c_0101_6^10 + 19966402648/1271012893*c_0101_6^9 - 44933893357/1271012893*c_0101_6^8 + 29242897240/1271012893*c_0101_6^7 + 40660661596/1271012893*c_0101_6^6 - 70860689784/1271012893*c_0101_6^5 + 11029747269/1271012893*c_0101_6^4 + 36867382048/1271012893*c_0101_6^3 - 16763086401/1271012893*c_0101_6^2 - 6550242016/1271012893*c_0101_6 + 3750555447/1271012893, c_0101_2 - 4883457910/1271012893*c_0101_6^10 + 31234116166/1271012893*c_0101_6^9 - 77760834044/1271012893*c_0101_6^8 + 68101013206/1271012893*c_0101_6^7 + 54232991064/1271012893*c_0101_6^6 - 156570890676/1271012893*c_0101_6^5 + 69272954484/1271012893*c_0101_6^4 + 77002264870/1271012893*c_0101_6^3 - 72236003834/1271012893*c_0101_6^2 - 7948159682/1271012893*c_0101_6 + 16348953600/1271012893, c_0101_5 - 4883457910/1271012893*c_0101_6^10 + 31234116166/1271012893*c_0101_6^9 - 77760834044/1271012893*c_0101_6^8 + 68101013206/1271012893*c_0101_6^7 + 54232991064/1271012893*c_0101_6^6 - 156570890676/1271012893*c_0101_6^5 + 69272954484/1271012893*c_0101_6^4 + 77002264870/1271012893*c_0101_6^3 - 72236003834/1271012893*c_0101_6^2 - 7948159682/1271012893*c_0101_6 + 17619966493/1271012893, c_0101_6^11 - 123/17*c_0101_6^10 + 358/17*c_0101_6^9 - 451/17*c_0101_6^8 + 18/17*c_0101_6^7 + 608/17*c_0101_6^6 - 574/17*c_0101_6^5 - 45/17*c_0101_6^4 + 333/17*c_0101_6^3 - 117/17*c_0101_6^2 - 52/17*c_0101_6 + 29/17, c_1001_11 + 1 ], 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_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0101_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1738093330226067492/4990646654651749*c_0101_6^11 - 17525493849975556691/9981293309303498*c_0101_6^10 + 14869558445710242336/4990646654651749*c_0101_6^9 + 158722105454902932/4990646654651749*c_0101_6^8 - 56494123309723467383/9981293309303498*c_0101_6^7 + 22390567751594897076/4990646654651749*c_0101_6^6 + 30804836362680926711/9981293309303498*c_0101_6^5 - 23179890916685918106/4990646654651749*c_0101_6^4 - 229611737749823991/767791793023346*c_0101_6^3 + 9246485796588898449/4990646654651749*c_0101_6^2 - 540331608625051570/4990646654651749*c_0101_6 - 1468577006915410354/4990646654651749, c_0011_0 - 1, c_0011_10 + 3839854704/532588843*c_0101_6^11 - 17292907946/532588843*c_0101_6^10 + 22495944202/532588843*c_0101_6^9 + 18709350864/532588843*c_0101_6^8 - 66075598162/532588843*c_0101_6^7 + 22222156252/532588843*c_0101_6^6 + 61319325700/532588843*c_0101_6^5 - 44632961172/532588843*c_0101_6^4 - 22473116530/532588843*c_0101_6^3 + 24337016513/532588843*c_0101_6^2 + 2322983132/532588843*c_0101_6 - 4298087967/532588843, c_0011_11 + 1960319520/532588843*c_0101_6^11 - 10742836140/532588843*c_0101_6^10 + 21792096928/532588843*c_0101_6^9 - 10915552820/532588843*c_0101_6^8 - 24653039268/532588843*c_0101_6^7 + 37008457924/532588843*c_0101_6^6 - 4919766320/532588843*c_0101_6^5 - 20741313075/532588843*c_0101_6^4 + 12337501784/532588843*c_0101_6^3 + 1784880925/532588843*c_0101_6^2 - 3143959488/532588843*c_0101_6 + 958559817/532588843, c_0011_3 + 11375030160/532588843*c_0101_6^11 - 57397288374/532588843*c_0101_6^10 + 96869941082/532588843*c_0101_6^9 + 3280058380/532588843*c_0101_6^8 - 187476623654/532588843*c_0101_6^7 + 143068425728/532588843*c_0101_6^6 + 109471239316/532588843*c_0101_6^5 - 153754871724/532588843*c_0101_6^4 - 16699790502/532588843*c_0101_6^3 + 64070355598/532588843*c_0101_6^2 - 1916475582/532588843*c_0101_6 - 10459562637/532588843, c_0011_5 - c_0101_6, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 2686909968/532588843*c_0101_6^11 - 13222856742/532588843*c_0101_6^10 + 22035251114/532588843*c_0101_6^9 - 120752484/532588843*c_0101_6^8 - 39758240166/532588843*c_0101_6^7 + 34039338496/532588843*c_0101_6^6 + 13900974831/532588843*c_0101_6^5 - 28853557006/532588843*c_0101_6^4 + 5805882498/532588843*c_0101_6^3 + 6686186462/532588843*c_0101_6^2 - 2992905963/532588843*c_0101_6 + 228203862/532588843, c_0101_12 + 1332505464/532588843*c_0101_6^11 - 8824036373/532588843*c_0101_6^10 + 20254784816/532588843*c_0101_6^9 - 12047382755/532588843*c_0101_6^8 - 25472281848/532588843*c_0101_6^7 + 40785593540/532588843*c_0101_6^6 - 3609786024/532588843*c_0101_6^5 - 28351906533/532588843*c_0101_6^4 + 15053697224/532588843*c_0101_6^3 + 4330919233/532588843*c_0101_6^2 - 5069844936/532588843*c_0101_6 + 818867385/532588843, c_0101_2 + 11375030160/532588843*c_0101_6^11 - 57397288374/532588843*c_0101_6^10 + 96869941082/532588843*c_0101_6^9 + 3280058380/532588843*c_0101_6^8 - 187476623654/532588843*c_0101_6^7 + 143068425728/532588843*c_0101_6^6 + 109471239316/532588843*c_0101_6^5 - 153754871724/532588843*c_0101_6^4 - 16699790502/532588843*c_0101_6^3 + 64070355598/532588843*c_0101_6^2 - 1916475582/532588843*c_0101_6 - 10992151480/532588843, c_0101_5 - 11375030160/532588843*c_0101_6^11 + 57397288374/532588843*c_0101_6^10 - 96869941082/532588843*c_0101_6^9 - 3280058380/532588843*c_0101_6^8 + 187476623654/532588843*c_0101_6^7 - 143068425728/532588843*c_0101_6^6 - 109471239316/532588843*c_0101_6^5 + 153754871724/532588843*c_0101_6^4 + 16699790502/532588843*c_0101_6^3 - 64070355598/532588843*c_0101_6^2 + 1916475582/532588843*c_0101_6 + 10459562637/532588843, c_0101_6^12 - 137/24*c_0101_6^11 + 289/24*c_0101_6^10 - 25/4*c_0101_6^9 - 121/8*c_0101_6^8 + 93/4*c_0101_6^7 - c_0101_6^6 - 71/4*c_0101_6^5 + 65/8*c_0101_6^4 + 41/8*c_0101_6^3 - 89/24*c_0101_6^2 - 1/2*c_0101_6 + 13/24, c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB