Magma V2.19-8 Tue Aug 20 2013 23:53:31 on localhost [Seed = 3280316472] Type ? for help. Type -D to quit. Loading file "L13n6563__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6563 geometric_solution 10.84801330 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 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 1 0 0 -1 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.094905819924 0.689200672818 0 5 4 3 0132 0132 2310 0321 1 1 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 -1 0 -1 2 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468524019708 0.696346053647 5 0 7 6 0132 0132 0132 0132 1 1 0 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.923790513128 1.328777493705 8 1 9 0 0132 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 0 -1 1 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 1.288841084833 1.205434771309 9 1 0 10 0213 3201 0132 0132 1 1 1 1 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 1 -1 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 0.491232652200 1.076279485000 2 1 6 11 0132 0132 0213 0132 1 1 1 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160334832634 1.046039391569 11 5 2 10 1302 0213 0132 2031 1 1 1 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 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446188614186 0.687903993852 9 9 10 2 2031 3120 2031 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 -0.259818483735 0.939288570944 3 11 11 10 0132 3012 0132 2310 1 1 1 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 0 0 0 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107946647785 0.770239626760 4 7 7 3 0213 3120 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 -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 0.467654177523 0.629548698088 8 6 4 7 3201 1302 0132 1302 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 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 0.615406272275 1.234670592095 8 6 5 8 1230 2031 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 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 0.107946647785 0.770239626760 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0110_6'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1010_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1010_10']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0101_11']), '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'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_10, c_0101_11, c_0101_7, c_0110_6, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 5445360623723647481/41681360144776907925*c_1010_10^8 + 3433023571293584782/8336272028955381585*c_1010_10^7 + 149892831423777111418/13893786714925635975*c_1010_10^6 + 610121883728026683259/41681360144776907925*c_1010_10^5 + 13666021769493188455/1667254405791076317*c_1010_10^4 - 627620580575470168591/41681360144776907925*c_1010_10^3 + 284496607381888961578/41681360144776907925*c_1010_10^2 + 79400198149265214727/41681360144776907925*c_1010_10 - 583496036023098867646/41681360144776907925, c_0011_0 - 1, c_0011_10 - 18833221634/1497542416371*c_1010_10^8 - 55589307674/1497542416371*c_1010_10^7 - 513128000587/499180805457*c_1010_10^6 - 1773101183005/1497542416371*c_1010_10^5 - 390538658317/1497542416371*c_1010_10^4 + 3914182662919/1497542416371*c_1010_10^3 + 273666707879/1497542416371*c_1010_10^2 + 2328402072680/1497542416371*c_1010_10 + 483937157581/1497542416371, c_0011_11 + 206357035345/4492627249113*c_1010_10^8 + 613235414194/4492627249113*c_1010_10^7 + 5626579566422/1497542416371*c_1010_10^6 + 19875068063231/4492627249113*c_1010_10^5 + 5069039262869/4492627249113*c_1010_10^4 - 33668365908221/4492627249113*c_1010_10^3 + 9820103086802/4492627249113*c_1010_10^2 + 579481892456/4492627249113*c_1010_10 - 22661024536664/4492627249113, c_0011_3 + 433796636975/4492627249113*c_1010_10^8 + 1235544625130/4492627249113*c_1010_10^7 + 11778210951631/1497542416371*c_1010_10^6 + 37376747370145/4492627249113*c_1010_10^5 + 6122142380497/4492627249113*c_1010_10^4 - 75353522877205/4492627249113*c_1010_10^3 + 22229344201477/4492627249113*c_1010_10^2 - 7387205929469/4492627249113*c_1010_10 - 48913712567233/4492627249113, c_0011_4 - 10912231897/499180805457*c_1010_10^8 - 34811154479/499180805457*c_1010_10^7 - 899104743488/499180805457*c_1010_10^6 - 1242267728644/499180805457*c_1010_10^5 - 147945660964/166393601819*c_1010_10^4 + 1933962744086/499180805457*c_1010_10^3 + 35106261462/166393601819*c_1010_10^2 - 259174492382/499180805457*c_1010_10 + 427917427394/166393601819, c_0011_9 - 1, c_0101_10 - 57395048158/1497542416371*c_1010_10^8 - 181440872218/1497542416371*c_1010_10^7 - 1574482522790/499180805457*c_1010_10^6 - 6408479877428/1497542416371*c_1010_10^5 - 2135493310463/1497542416371*c_1010_10^4 + 9376943507627/1497542416371*c_1010_10^3 + 835573168837/1497542416371*c_1010_10^2 + 418655001553/1497542416371*c_1010_10 + 7791792246986/1497542416371, c_0101_11 - 1709630524/1497542416371*c_1010_10^8 - 3052038469/1497542416371*c_1010_10^7 - 48725111404/499180805457*c_1010_10^6 - 33310105271/1497542416371*c_1010_10^5 - 854842039184/1497542416371*c_1010_10^4 - 703343203285/1497542416371*c_1010_10^3 - 742952879417/1497542416371*c_1010_10^2 + 1040205300298/1497542416371*c_1010_10 - 54235261459/1497542416371, c_0101_7 + 7231896469/499180805457*c_1010_10^8 + 6669625627/166393601819*c_1010_10^7 + 586908622885/499180805457*c_1010_10^6 + 191171897066/166393601819*c_1010_10^5 + 8271159325/499180805457*c_1010_10^4 - 1333847295278/499180805457*c_1010_10^3 + 192863889283/499180805457*c_1010_10^2 - 254251887916/499180805457*c_1010_10 - 710937573316/499180805457, c_0110_6 - 15745356545/1497542416371*c_1010_10^8 - 24830413574/1497542416371*c_1010_10^7 - 409914681775/499180805457*c_1010_10^6 + 261627143885/1497542416371*c_1010_10^5 + 1145921652023/1497542416371*c_1010_10^4 + 2611325416372/1497542416371*c_1010_10^3 - 5437763208373/1497542416371*c_1010_10^2 + 905049907271/1497542416371*c_1010_10 + 483463120741/1497542416371, c_1001_0 + 368709568754/4492627249113*c_1010_10^8 + 1055464733201/4492627249113*c_1010_10^7 + 10017485082976/1497542416371*c_1010_10^6 + 32215106149363/4492627249113*c_1010_10^5 + 6047701946572/4492627249113*c_1010_10^4 - 63348897219703/4492627249113*c_1010_10^3 + 20493569197930/4492627249113*c_1010_10^2 - 5098938938225/4492627249113*c_1010_10 - 42515274407389/4492627249113, c_1010_10^9 + 2*c_1010_10^8 + 79*c_1010_10^7 + 17*c_1010_10^6 - 62*c_1010_10^5 - 186*c_1010_10^4 + 201*c_1010_10^3 - 62*c_1010_10^2 - 102*c_1010_10 + 103 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB