Magma V2.19-8 Wed Aug 21 2013 00:53:01 on localhost [Seed = 2968954164] Type ? for help. Type -D to quit. Loading file "L12n1195__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1195 geometric_solution 12.00277634 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.722186559760 0.538342330443 0 5 7 6 0132 0132 0132 0132 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 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 0.722186559760 0.538342330443 8 0 9 7 0132 0132 0132 0132 1 1 0 0 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 1 1 0 0 -1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.538065803439 0.517647004524 8 7 10 0 1023 0132 0132 0132 1 1 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 -1 1 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722186559760 0.538342330443 11 10 0 9 0132 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691113563432 0.721283868302 12 1 11 10 0132 0132 3120 0321 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 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 0.663501307923 0.890087403252 8 9 1 10 3012 3012 0132 0132 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 -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 0.609944294457 1.072479794220 11 3 2 1 3120 0132 0132 0132 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 -1 1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722186559760 0.538342330443 2 3 12 6 0132 1023 0132 1230 1 1 0 0 0 0 0 0 -1 0 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 1 0 -1 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734872630671 0.598128048657 6 12 4 2 1230 1230 0132 0132 1 1 0 1 0 -1 1 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 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567017645630 0.506457400396 4 5 6 3 1230 0321 0132 0132 1 1 0 1 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 0 1 1 0 -1 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 0.691113563432 0.721283868302 4 12 5 7 0132 3120 3120 3120 0 1 0 1 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 -3 0 3 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 0.461657669557 0.722186559760 5 11 9 8 0132 3120 3012 0132 1 1 0 0 0 0 0 0 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 0 0 0 0 0 -1 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 0.527412050675 0.603560808131 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_1001_1'], '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'], 'c_0101_12' : negation(d['c_0011_10']), '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_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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], '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' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_0'], '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' : d['c_0101_10'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10'], 's_2_9' : d['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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 129517/42874*c_1100_0^3 - 19333/3978*c_1100_0^2 - 78215/204282*c_1100_0 + 6034474/578799, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 21/97*c_1100_0^3 + 2/3*c_1100_0^2 + 424/291*c_1100_0 + 24/97, c_0011_6 + 9/97*c_1100_0^3 - c_1100_0^2 - 175/97*c_1100_0 + 38/97, c_0011_9 - 63/97*c_1100_0^3 - 2*c_1100_0^2 - 133/97*c_1100_0 + 25/97, c_0101_0 - 1, c_0101_1 + 93/97*c_1100_0^3 + 5/3*c_1100_0^2 + 298/291*c_1100_0 + 37/97, c_0101_10 - c_1100_0, c_0101_11 + 63/97*c_1100_0^3 + 2*c_1100_0^2 - 61/97*c_1100_0 + 72/97, c_0101_5 - 93/97*c_1100_0^3 - 5/3*c_1100_0^2 - 298/291*c_1100_0 + 60/97, c_1001_0 - 21/97*c_1100_0^3 - 2/3*c_1100_0^2 - 424/291*c_1100_0 - 24/97, c_1001_1 - 42/97*c_1100_0^3 - 4/3*c_1100_0^2 + 25/291*c_1100_0 + 49/97, c_1100_0^4 + 20/9*c_1100_0^3 + 19/9*c_1100_0^2 - 2/3*c_1100_0 + 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 174820317783172093045395/490784552892248576*c_1100_0^7 + 1531461004629455869673813/4662453252476361472*c_1100_0^6 - 4553728299590651332840807/4662453252476361472*c_1100_0^5 - 2032103543913627411105263/2331226626238180736*c_1100_0^4 + 10703434959535620299574385/9324906504952722944*c_1100_0^3 - 16832526272520204838937/291403328279772592*c_1100_0^2 + 1604314135975524566572985/9324906504952722944*c_1100_0 + 2067680829154221559173/75200858910909056, c_0011_0 - 1, c_0011_10 + 260633043663283/102588744333664*c_1100_0^7 + 167105589180167/51294372166832*c_1100_0^6 - 298442312212397/51294372166832*c_1100_0^5 - 208223170012101/25647186083416*c_1100_0^4 + 562673712582123/102588744333664*c_1100_0^3 + 7014347721876/3205898260427*c_1100_0^2 + 242091300972227/102588744333664*c_1100_0 + 1330514966457/25647186083416, c_0011_11 + 717242997051915/102588744333664*c_1100_0^7 + 415484116157871/51294372166832*c_1100_0^6 - 939922333869125/51294372166832*c_1100_0^5 - 596869762012405/25647186083416*c_1100_0^4 + 1939999866465859/102588744333664*c_1100_0^3 + 21511623381241/3205898260427*c_1100_0^2 + 361261976465115/102588744333664*c_1100_0 + 28922000540081/25647186083416, c_0011_6 + 213580544952073/102588744333664*c_1100_0^7 + 96090231157701/51294372166832*c_1100_0^6 - 349115947301015/51294372166832*c_1100_0^5 - 180252702920983/25647186083416*c_1100_0^4 + 826188697225745/102588744333664*c_1100_0^3 + 10543548774189/3205898260427*c_1100_0^2 - 7773339241383/102588744333664*c_1100_0 - 6939719284149/25647186083416, c_0011_9 - 127810229603711/51294372166832*c_1100_0^7 - 20002349179395/25647186083416*c_1100_0^6 + 237890814772793/25647186083416*c_1100_0^5 + 42166593747389/12823593041708*c_1100_0^4 - 677524966197543/51294372166832*c_1100_0^3 + 9977640608931/3205898260427*c_1100_0^2 + 6681738446785/51294372166832*c_1100_0 + 451086377103/12823593041708, c_0101_0 - 1, c_0101_1 - 620523589324085/102588744333664*c_1100_0^7 - 305951959206385/51294372166832*c_1100_0^6 + 852243902473851/51294372166832*c_1100_0^5 + 415597064819955/25647186083416*c_1100_0^4 - 2001591149635901/102588744333664*c_1100_0^3 - 5437506702126/3205898260427*c_1100_0^2 - 131341271201317/102588744333664*c_1100_0 - 17987061891615/25647186083416, c_0101_10 - 3584262480091/6411796520854*c_1100_0^7 - 4350454004257/3205898260427*c_1100_0^6 + 1778300018300/3205898260427*c_1100_0^5 + 10121929269092/3205898260427*c_1100_0^4 + 2428719116083/6411796520854*c_1100_0^3 - 3779935250572/3205898260427*c_1100_0^2 + 3949241432541/6411796520854*c_1100_0 - 799711342848/3205898260427, c_0101_11 - 13274669502119/6411796520854*c_1100_0^7 - 6180098400321/3205898260427*c_1100_0^6 + 17893622496089/3205898260427*c_1100_0^5 + 14382333692576/3205898260427*c_1100_0^4 - 48297397469537/6411796520854*c_1100_0^3 + 2735111429556/3205898260427*c_1100_0^2 - 365580338613/6411796520854*c_1100_0 - 251927038464/3205898260427, c_0101_5 - 192032977334957/51294372166832*c_1100_0^7 - 146419144392449/25647186083416*c_1100_0^6 + 204253714741091/25647186083416*c_1100_0^5 + 188568040909287/12823593041708*c_1100_0^4 - 341921913204677/51294372166832*c_1100_0^3 - 20179561336831/3205898260427*c_1100_0^2 - 41275962665789/51294372166832*c_1100_0 - 5897270945531/12823593041708, c_1001_0 - 68190566702853/12823593041708*c_1100_0^7 - 33483803678963/6411796520854*c_1100_0^6 + 88224312213011/6411796520854*c_1100_0^5 + 38911602730071/3205898260427*c_1100_0^4 - 226025283841497/12823593041708*c_1100_0^3 + 4345256011061/3205898260427*c_1100_0^2 - 1242189525361/12823593041708*c_1100_0 - 1030429559504/3205898260427, c_1001_1 + 19162824553251/102588744333664*c_1100_0^7 + 26891027937303/51294372166832*c_1100_0^6 - 32045156553917/51294372166832*c_1100_0^5 - 45872204493397/25647186083416*c_1100_0^4 + 37302609168539/102588744333664*c_1100_0^3 + 4764414025774/3205898260427*c_1100_0^2 - 62152822763309/102588744333664*c_1100_0 - 7094692754759/25647186083416, c_1100_0^8 + 470/361*c_1100_0^7 - 854/361*c_1100_0^6 - 1252/361*c_1100_0^5 + 801/361*c_1100_0^4 + 364/361*c_1100_0^3 + 185/361*c_1100_0^2 + 88/361*c_1100_0 + 16/361 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB