Magma V2.19-8 Wed Aug 21 2013 00:51:34 on localhost [Seed = 2227343857] Type ? for help. Type -D to quit. Loading file "L11n152__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n152 geometric_solution 12.08089115 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 1 0 -1 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453362487759 1.077950552968 0 4 6 5 0132 0132 0132 0132 1 0 0 1 0 0 0 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 0 0 0 -1 0 0 1 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537177947592 0.402054406885 0 0 7 4 3012 0132 0132 0132 1 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 -1 0 1 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374206782323 0.737923027412 8 9 6 0 0132 0132 3120 0132 1 0 0 1 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 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 0.208468356763 0.573783219915 6 1 2 10 0321 0132 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 0 -1 1 0 0 1 -1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806822458297 0.893041665222 8 7 1 10 2103 0213 0132 0213 1 0 1 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 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 0.516443057615 1.301434061973 4 11 3 1 0321 0132 3120 0132 1 0 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 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806822458297 0.893041665222 12 9 5 2 0132 0213 0213 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 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 0.404074510454 1.428009442374 3 11 5 12 0132 2031 2103 3201 1 0 1 0 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451699936461 0.678018846482 10 3 7 12 0132 0132 0213 1302 1 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 0 0 0 1 0 -1 0 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928072716804 0.943159073910 9 11 4 5 0132 0213 0132 0213 1 1 0 1 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 0 1 -1 0 -1 0 1 0 1 0 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245825478149 0.906739885557 8 6 10 12 1302 0132 0213 0213 1 0 1 1 0 0 0 0 -1 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924739900033 0.613677713627 7 8 9 11 0132 2310 2031 0213 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 -4 5 -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 0.218224464825 0.428692648646 ==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_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_0101_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_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1010_5'], 'c_1100_7' : d['c_1010_5'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1010_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1010_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_1001_3']), '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), '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' : d['c_0011_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_12'])})} 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_12, c_0011_5, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_1001_0, c_1001_1, c_1001_3, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 19877511086099/435765651019776*c_1010_5^12 - 11730727040083/72627608503296*c_1010_5^11 + 41970435412831/62252235859968*c_1010_5^10 - 355504535824925/217882825509888*c_1010_5^9 + 1562959464786751/435765651019776*c_1010_5^8 - 1473888532891645/217882825509888*c_1010_5^7 + 1050922325812169/108941412754944*c_1010_5^6 - 210282727703639/16139468556288*c_1010_5^5 + 6662091330553/494065363968*c_1010_5^4 - 245416868575397/19807529591808*c_1010_5^3 + 721243818932897/62252235859968*c_1010_5^2 - 674437529699833/145255217006592*c_1010_5 - 161931923477581/435765651019776, c_0011_0 - 1, c_0011_10 - 400384196/10132199847*c_1010_5^12 + 318265525/3377399949*c_1010_5^11 - 671798659/1447457121*c_1010_5^10 + 9059405818/10132199847*c_1010_5^9 - 20923563580/10132199847*c_1010_5^8 + 38071681766/10132199847*c_1010_5^7 - 46121415140/10132199847*c_1010_5^6 + 8338454084/1125799983*c_1010_5^5 - 969999508/160828569*c_1010_5^4 + 6411464152/921109077*c_1010_5^3 - 10431551672/1447457121*c_1010_5^2 - 16416151/3377399949*c_1010_5 - 28363217633/10132199847, c_0011_11 - 144197269/3377399949*c_1010_5^12 + 11316892/125088887*c_1010_5^11 - 239777012/482485707*c_1010_5^10 + 2878001297/3377399949*c_1010_5^9 - 7336324235/3377399949*c_1010_5^8 + 12067236955/3377399949*c_1010_5^7 - 15045531643/3377399949*c_1010_5^6 + 2645546224/375266661*c_1010_5^5 - 268880048/53609523*c_1010_5^4 + 2058544571/307036359*c_1010_5^3 - 2743350166/482485707*c_1010_5^2 - 46837843/375266661*c_1010_5 - 7658918329/3377399949, c_0011_12 + 278563624/10132199847*c_1010_5^12 - 206101265/3377399949*c_1010_5^11 + 454689566/1447457121*c_1010_5^10 - 5727729131/10132199847*c_1010_5^9 + 13565721443/10132199847*c_1010_5^8 - 23712568189/10132199847*c_1010_5^7 + 27345448201/10132199847*c_1010_5^6 - 5150484076/1125799983*c_1010_5^5 + 513367760/160828569*c_1010_5^4 - 3796005461/921109077*c_1010_5^3 + 5777583073/1447457121*c_1010_5^2 + 5112201095/3377399949*c_1010_5 + 21375218203/10132199847, c_0011_5 + 1035295717/10132199847*c_1010_5^12 - 718332911/3377399949*c_1010_5^11 + 1659347561/1447457121*c_1010_5^10 - 19487031617/10132199847*c_1010_5^9 + 48426004646/10132199847*c_1010_5^8 - 79028760289/10132199847*c_1010_5^7 + 93319149565/10132199847*c_1010_5^6 - 16661979370/1125799983*c_1010_5^5 + 1616491328/160828569*c_1010_5^4 - 12423731048/921109077*c_1010_5^3 + 17290947118/1447457121*c_1010_5^2 + 8940451259/3377399949*c_1010_5 + 46404154714/10132199847, c_0101_0 - 1, c_0101_12 + 16136/2343789*c_1010_5^12 - 6940/260421*c_1010_5^11 + 27829/334827*c_1010_5^10 - 581494/2343789*c_1010_5^9 + 825130/2343789*c_1010_5^8 - 2114528/2343789*c_1010_5^7 + 1670009/2343789*c_1010_5^6 - 288646/260421*c_1010_5^5 + 11222/12401*c_1010_5^4 + 335884/2343789*c_1010_5^3 + 379301/334827*c_1010_5^2 + 294578/260421*c_1010_5 - 443554/2343789, c_0101_3 + 423955223/10132199847*c_1010_5^12 - 230607067/3377399949*c_1010_5^11 + 632348833/1447457121*c_1010_5^10 - 6001503889/10132199847*c_1010_5^9 + 17319907159/10132199847*c_1010_5^8 - 24982169741/10132199847*c_1010_5^7 + 28868783897/10132199847*c_1010_5^6 - 5472001310/1125799983*c_1010_5^5 + 376505032/160828569*c_1010_5^4 - 4125087952/921109077*c_1010_5^3 + 3869777537/1447457121*c_1010_5^2 + 7595458327/3377399949*c_1010_5 + 19663028846/10132199847, c_0101_4 + 867244676/10132199847*c_1010_5^12 - 590679223/3377399949*c_1010_5^11 + 1406833477/1447457121*c_1010_5^10 - 16119810898/10132199847*c_1010_5^9 + 41965210909/10132199847*c_1010_5^8 - 66657733889/10132199847*c_1010_5^7 + 83859628229/10132199847*c_1010_5^6 - 14691139754/1125799983*c_1010_5^5 + 1474582690/160828569*c_1010_5^4 - 12018395386/921109077*c_1010_5^3 + 14658533627/1447457121*c_1010_5^2 + 3467661763/3377399949*c_1010_5 + 42656152298/10132199847, c_1001_0 + 937000604/10132199847*c_1010_5^12 - 680684083/3377399949*c_1010_5^11 + 1527138244/1447457121*c_1010_5^10 - 18633609460/10132199847*c_1010_5^9 + 45532247899/10132199847*c_1010_5^8 - 75798838433/10132199847*c_1010_5^7 + 91079077136/10132199847*c_1010_5^6 - 15938956412/1125799983*c_1010_5^5 + 1620120808/160828569*c_1010_5^4 - 11886392974/921109077*c_1010_5^3 + 16298251850/1447457121*c_1010_5^2 + 7288043845/3377399949*c_1010_5 + 40738668356/10132199847, c_1001_1 - 171015127/3377399949*c_1010_5^12 + 150025672/1125799983*c_1010_5^11 - 298263137/482485707*c_1010_5^10 + 4210701857/3377399949*c_1010_5^9 - 9404113580/3377399949*c_1010_5^8 + 16938889564/3377399949*c_1010_5^7 - 20736764413/3377399949*c_1010_5^6 + 3488985034/375266661*c_1010_5^5 - 414538592/53609523*c_1010_5^4 + 2587101674/307036359*c_1010_5^3 - 4142824771/482485707*c_1010_5^2 + 102471494/1125799983*c_1010_5 - 7025213170/3377399949, c_1001_3 + 122846995/1125799983*c_1010_5^12 - 82374911/375266661*c_1010_5^11 + 191614403/160828569*c_1010_5^10 - 2190524804/1125799983*c_1010_5^9 + 5400494537/1125799983*c_1010_5^8 - 8830738393/1125799983*c_1010_5^7 + 9777020131/1125799983*c_1010_5^6 - 5471672564/375266661*c_1010_5^5 + 476058563/53609523*c_1010_5^4 - 1277031551/102345453*c_1010_5^3 + 1933140535/160828569*c_1010_5^2 + 2243623120/375266661*c_1010_5 + 5798400802/1125799983, c_1010_5^13 - 2*c_1010_5^12 + 11*c_1010_5^11 - 18*c_1010_5^10 + 45*c_1010_5^9 - 74*c_1010_5^8 + 84*c_1010_5^7 - 143*c_1010_5^6 + 90*c_1010_5^5 - 130*c_1010_5^4 + 117*c_1010_5^3 + 43*c_1010_5^2 + 61*c_1010_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB