Magma V2.19-8 Wed Aug 21 2013 01:03:41 on localhost [Seed = 1031480580] Type ? for help. Type -D to quit. Loading file "L14n21793__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21793 geometric_solution 12.45696268 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 0 0 1 0 0 0 0 0 0 -1 1 -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 -1 1 1 0 -1 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248848731227 0.672840205051 0 5 7 6 0132 0132 0132 0132 1 0 1 0 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 1 -1 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 0.646191549474 0.756062675164 3 0 8 6 2031 0132 0132 2031 1 1 1 0 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070317975991 0.822445678989 9 10 2 0 0132 0132 1302 0132 1 0 1 1 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 -1 0 1 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646415332439 0.985761186496 5 11 0 8 3201 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 -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 -0.009932738793 0.740898192096 9 1 10 4 3012 0132 0132 2310 1 0 0 1 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562122489168 1.008899600747 10 2 1 11 2103 1302 0132 1230 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 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 0.334476616335 0.465037960544 12 8 9 1 0132 3120 3012 0132 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 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 1.039082377256 1.309951952790 4 7 11 2 3012 3120 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120511818380 1.008738969587 3 7 12 5 0132 1230 3120 1230 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 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 0.543372185701 0.684694962665 12 3 6 5 3120 0132 2103 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 1 0 -1 0 0 -1 1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448948077462 0.684109140022 6 4 8 12 3012 0132 0321 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490777406868 0.879965839202 7 11 9 10 0132 1302 3120 3120 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430381713670 0.667045839757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_2'], '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_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_1']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_0']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], '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' : d['c_0011_0'], '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_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_8'], '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_11, c_0011_12, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_11, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 638864590325362018039/357989429538501453*c_0110_2^9 + 91405993226180416370/17047115692309593*c_0110_2^8 + 20444053340697767247578/357989429538501453*c_0110_2^7 + 10882892274180565850923/119329809846167151*c_0110_2^6 + 146815709183571262972829/357989429538501453*c_0110_2^5 + 173834516270523301947241/119329809846167151*c_0110_2^4 + 784961855698623822620095/357989429538501453*c_0110_2^3 + 3154028240727478352266/1549737790209963*c_0110_2^2 + 540717168993262115731474/357989429538501453*c_0110_2 + 720384787280911849056/13258867760685239, c_0011_0 - 1, c_0011_10 + 13565484024071/5682371897436531*c_0110_2^9 + 13631115744231/1894123965812177*c_0110_2^8 + 432052438838023/5682371897436531*c_0110_2^7 + 229902702064774/1894123965812177*c_0110_2^6 + 3058398491677009/5682371897436531*c_0110_2^5 + 3673745255695329/1894123965812177*c_0110_2^4 + 16281574530687758/5682371897436531*c_0110_2^3 + 414561986146117/172193087801107*c_0110_2^2 + 6698123234524976/5682371897436531*c_0110_2 - 3432552353298/1894123965812177, c_0011_11 - 111280016156633/17047115692309593*c_0110_2^9 - 39199725855133/1894123965812177*c_0110_2^8 - 3564620388678397/17047115692309593*c_0110_2^7 - 687151261001795/1894123965812177*c_0110_2^6 - 24945836521993834/17047115692309593*c_0110_2^5 - 10473154645246929/1894123965812177*c_0110_2^4 - 139879681574529443/17047115692309593*c_0110_2^3 - 1230210558598692/172193087801107*c_0110_2^2 - 95643844030448411/17047115692309593*c_0110_2 + 1637647174127095/5682371897436531, c_0011_12 - 45135691524790/5682371897436531*c_0110_2^9 - 42974864635139/1894123965812177*c_0110_2^8 - 1422033462628388/5682371897436531*c_0110_2^7 - 697950141148091/1894123965812177*c_0110_2^6 - 9968669412981692/5682371897436531*c_0110_2^5 - 11825119861196277/1894123965812177*c_0110_2^4 - 49585081207365406/5682371897436531*c_0110_2^3 - 1336159168390923/172193087801107*c_0110_2^2 - 30275257566419941/5682371897436531*c_0110_2 + 619382441754292/1894123965812177, c_0011_6 + 6748792952647/17047115692309593*c_0110_2^9 - 1674295037504/1894123965812177*c_0110_2^8 + 185133262337732/17047115692309593*c_0110_2^7 - 73287934739541/1894123965812177*c_0110_2^6 + 2034980689701350/17047115692309593*c_0110_2^5 - 216411478209528/1894123965812177*c_0110_2^4 - 3730869892305821/17047115692309593*c_0110_2^3 - 20190630232422/172193087801107*c_0110_2^2 - 8375529593297495/17047115692309593*c_0110_2 - 11740927502036/5682371897436531, c_0011_8 + 140722946979059/17047115692309593*c_0110_2^9 + 44817840757368/1894123965812177*c_0110_2^8 + 4481110268696494/17047115692309593*c_0110_2^7 + 738125558666349/1894123965812177*c_0110_2^6 + 32476628911365019/17047115692309593*c_0110_2^5 + 12345209938199576/1894123965812177*c_0110_2^4 + 165505445660110652/17047115692309593*c_0110_2^3 + 1567925941496498/172193087801107*c_0110_2^2 + 129421467245597741/17047115692309593*c_0110_2 + 2362445940894524/5682371897436531, c_0101_0 - 174577160791169/17047115692309593*c_0110_2^9 - 58554547116705/1894123965812177*c_0110_2^8 - 5576940622182568/17047115692309593*c_0110_2^7 - 998987491131530/1894123965812177*c_0110_2^6 - 39769672139634271/17047115692309593*c_0110_2^5 - 15942465712021172/1894123965812177*c_0110_2^4 - 212599896017680679/17047115692309593*c_0110_2^3 - 1981549609144380/172193087801107*c_0110_2^2 - 144379701612323654/17047115692309593*c_0110_2 + 980869311577867/5682371897436531, c_0101_1 - 1, c_0101_11 - 236639211640/1002771511312329*c_0110_2^9 + 106467940097/111419056812481*c_0110_2^8 - 4921832602268/1002771511312329*c_0110_2^7 + 4036142134419/111419056812481*c_0110_2^6 - 34193495974760/1002771511312329*c_0110_2^5 + 16119577627785/111419056812481*c_0110_2^4 + 726871141394774/1002771511312329*c_0110_2^3 + 5527596328792/10129005164771*c_0110_2^2 + 663348015363950/1002771511312329*c_0110_2 + 8509347491186/334257170437443, c_0101_2 + 133974154026412/17047115692309593*c_0110_2^9 + 46492135794872/1894123965812177*c_0110_2^8 + 4295977006358762/17047115692309593*c_0110_2^7 + 811413493405890/1894123965812177*c_0110_2^6 + 30441648221663669/17047115692309593*c_0110_2^5 + 12561621416409104/1894123965812177*c_0110_2^4 + 169236315552416473/17047115692309593*c_0110_2^3 + 1588116571728920/172193087801107*c_0110_2^2 + 120749881146585643/17047115692309593*c_0110_2 + 2374186868396560/5682371897436531, c_0101_5 - 108212649283825/17047115692309593*c_0110_2^9 - 39443130580644/1894123965812177*c_0110_2^8 - 3559091707776698/17047115692309593*c_0110_2^7 - 720233323109911/1894123965812177*c_0110_2^6 - 26530498194224723/17047115692309593*c_0110_2^5 - 10532726375297811/1894123965812177*c_0110_2^4 - 157978616013068113/17047115692309593*c_0110_2^3 - 1606505840396460/172193087801107*c_0110_2^2 - 121869400603390966/17047115692309593*c_0110_2 - 3668172026855098/5682371897436531, c_0110_11 - 1432920547958/17047115692309593*c_0110_2^9 + 3517271159733/1894123965812177*c_0110_2^8 + 29876618473598/17047115692309593*c_0110_2^7 + 113463352257799/1894123965812177*c_0110_2^6 + 535639982718593/17047115692309593*c_0110_2^5 + 736501555212827/1894123965812177*c_0110_2^4 + 20481071930320255/17047115692309593*c_0110_2^3 + 251957403337997/172193087801107*c_0110_2^2 + 12876992755016227/17047115692309593*c_0110_2 + 4232334193659436/5682371897436531, c_0110_2^10 + 3*c_0110_2^9 + 32*c_0110_2^8 + 51*c_0110_2^7 + 230*c_0110_2^6 + 816*c_0110_2^5 + 1228*c_0110_2^4 + 1146*c_0110_2^3 + 859*c_0110_2^2 + 42*c_0110_2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB