Magma V2.19-8 Wed Aug 21 2013 01:05:08 on localhost [Seed = 4206682726] Type ? for help. Type -D to quit. Loading file "L14n25079__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25079 geometric_solution 11.44035443 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 -1 0 1 -1 0 0 1 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816442899625 0.971858016286 0 5 3 6 0132 0132 2103 0132 1 0 1 1 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 1 0 0 -1 1 0 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.338573600928 0.750305579665 6 0 8 7 1023 0132 0132 0132 1 1 1 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 0 0 0 0 1 -1 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431441878272 0.854139261390 1 9 10 0 2103 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 1 -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 0 0 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 0.032786593669 1.450919333973 7 8 0 10 3201 3201 0132 0132 1 0 1 1 0 1 0 -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 -3 -1 4 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 -0.545373062148 0.558659518043 9 1 11 11 0213 0132 0132 2310 1 1 1 1 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338830191421 0.980698169989 12 2 1 12 0132 1023 0132 2103 1 0 1 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 0 0 -1 0 1 0 0 -1 0 1 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510069055924 0.595943110217 10 12 2 4 0213 0213 0132 2310 1 1 0 1 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 -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 0.063944845762 0.635254098571 11 11 4 2 1023 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427404487241 2.052443974935 5 3 12 10 0213 0132 0213 3201 1 1 1 1 0 0 0 0 -1 0 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 3 0 -3 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 0.199780435768 0.880697946926 7 9 4 3 0213 2310 0132 0132 1 0 1 1 0 -1 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 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 0 0 0 0 0 0 0 0 0 0 0.036183399817 0.694383219925 5 8 8 5 3201 1023 2310 0132 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.180185635183 0.653642092724 6 9 7 6 0132 0213 0213 2103 1 0 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 1 -1 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510069055924 0.595943110217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(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_7'], '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' : negation(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_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0011_4'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), '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_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], '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_0011_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_7']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 631756224167459437/314686261628524000*c_1100_0^11 + 37730444994693533/12587450465140960*c_1100_0^10 + 5347082186167091011/157343130814262000*c_1100_0^9 + 470382814672814279/314686261628524000*c_1100_0^8 - 118367267350811175151/314686261628524000*c_1100_0^7 + 27834270335966230681/62937252325704800*c_1100_0^6 + 3438943233779633951/9833945675891375*c_1100_0^5 - 21164723888574781417/314686261628524000*c_1100_0^4 + 2003621650476512843/78671565407131000*c_1100_0^3 + 18981489185784553467/39335782703565500*c_1100_0^2 + 22281477603601650559/62937252325704800*c_1100_0 + 62726622611192827193/314686261628524000, c_0011_0 - 1, c_0011_10 - 2184436506743/22792696519823*c_1100_0^11 - 7340513671900/22792696519823*c_1100_0^10 + 11248488429390/22792696519823*c_1100_0^9 + 83004480177039/22792696519823*c_1100_0^8 - 77562878421680/22792696519823*c_1100_0^7 - 229983150987397/22792696519823*c_1100_0^6 - 142836919342881/22792696519823*c_1100_0^5 - 40798546651707/22792696519823*c_1100_0^4 - 206091796308002/22792696519823*c_1100_0^3 - 288968050493099/22792696519823*c_1100_0^2 - 195591108705554/22792696519823*c_1100_0 - 71756400957843/22792696519823, c_0011_11 + 4118698502653/22792696519823*c_1100_0^11 + 11191021527967/22792696519823*c_1100_0^10 - 28843786696832/22792696519823*c_1100_0^9 - 138441794362325/22792696519823*c_1100_0^8 + 239909629752647/22792696519823*c_1100_0^7 + 288202970097059/22792696519823*c_1100_0^6 + 36904907015027/22792696519823*c_1100_0^5 + 72317173846772/22792696519823*c_1100_0^4 + 369455832738045/22792696519823*c_1100_0^3 + 292879739656095/22792696519823*c_1100_0^2 + 142325276437022/22792696519823*c_1100_0 + 18334739137487/22792696519823, c_0011_3 - 4171705119036/22792696519823*c_1100_0^11 - 10112731387092/22792696519823*c_1100_0^10 + 32414747614195/22792696519823*c_1100_0^9 + 131105898684234/22792696519823*c_1100_0^8 - 283573489028341/22792696519823*c_1100_0^7 - 214668980127542/22792696519823*c_1100_0^6 + 45570598611551/22792696519823*c_1100_0^5 - 91409287051560/22792696519823*c_1100_0^4 - 340506366773339/22792696519823*c_1100_0^3 - 188643400726976/22792696519823*c_1100_0^2 - 84312076716966/22792696519823*c_1100_0 + 9874893734955/22792696519823, c_0011_4 - 228830031780/22792696519823*c_1100_0^11 + 2936422406910/22792696519823*c_1100_0^10 + 11095688801362/22792696519823*c_1100_0^9 - 17801268368770/22792696519823*c_1100_0^8 - 132076265721858/22792696519823*c_1100_0^7 + 197493782377241/22792696519823*c_1100_0^6 + 240778111668187/22792696519823*c_1100_0^5 + 14079324459785/22792696519823*c_1100_0^4 + 28234885825633/22792696519823*c_1100_0^3 + 285286698726214/22792696519823*c_1100_0^2 + 229996861902804/22792696519823*c_1100_0 + 117848321004241/22792696519823, c_0011_7 + 172564566593/1470496549666*c_1100_0^11 + 301142216821/1470496549666*c_1100_0^10 - 810069680205/735248274833*c_1100_0^9 - 4527063261157/1470496549666*c_1100_0^8 + 15347651649001/1470496549666*c_1100_0^7 + 1027233130433/1470496549666*c_1100_0^6 - 3551985285781/735248274833*c_1100_0^5 + 2590652026409/1470496549666*c_1100_0^4 + 6523353085014/735248274833*c_1100_0^3 - 545087805902/735248274833*c_1100_0^2 - 1984338585105/1470496549666*c_1100_0 - 3516034908675/1470496549666, c_0101_0 - 1, c_0101_1 - 150708214985/1470496549666*c_1100_0^11 - 479349683445/1470496549666*c_1100_0^10 + 422873606213/735248274833*c_1100_0^9 + 5511074914797/1470496549666*c_1100_0^8 - 6260792078959/1470496549666*c_1100_0^7 - 14034184040973/1470496549666*c_1100_0^6 - 3902753354962/735248274833*c_1100_0^5 - 3975273559701/1470496549666*c_1100_0^4 - 6686748896731/735248274833*c_1100_0^3 - 9436545625299/735248274833*c_1100_0^2 - 12237136582853/1470496549666*c_1100_0 - 3940308804701/1470496549666, c_0101_11 + 888184542413/22792696519823*c_1100_0^11 + 1478574601537/22792696519823*c_1100_0^10 - 8422713602249/22792696519823*c_1100_0^9 - 22289517481862/22792696519823*c_1100_0^8 + 80923936400706/22792696519823*c_1100_0^7 - 4615148514752/22792696519823*c_1100_0^6 - 40158049349160/22792696519823*c_1100_0^5 + 39616104892430/22792696519823*c_1100_0^4 + 60929452269508/22792696519823*c_1100_0^3 - 175152441054/22792696519823*c_1100_0^2 - 116306187341/22792696519823*c_1100_0 - 15600915471933/22792696519823, c_0101_2 + 1877339038876/22792696519823*c_1100_0^11 - 59795482026/22792696519823*c_1100_0^10 - 25870133462233/22792696519823*c_1100_0^9 - 23626463828726/22792696519823*c_1100_0^8 + 272835142435254/22792696519823*c_1100_0^7 - 212293905095999/22792696519823*c_1100_0^6 - 259022898447205/22792696519823*c_1100_0^5 + 76201400246817/22792696519823*c_1100_0^4 + 47950336001311/22792696519823*c_1100_0^3 - 316624832642730/22792696519823*c_1100_0^2 - 180975665922521/22792696519823*c_1100_0 - 101889244306944/22792696519823, c_0101_8 - 1514199427603/22792696519823*c_1100_0^11 - 5905942298442/22792696519823*c_1100_0^10 + 6481066879777/22792696519823*c_1100_0^9 + 65213830951787/22792696519823*c_1100_0^8 - 33971787875596/22792696519823*c_1100_0^7 - 233740772363887/22792696519823*c_1100_0^6 - 86415031225788/22792696519823*c_1100_0^5 - 3674399285543/22792696519823*c_1100_0^4 - 184284479383260/22792696519823*c_1100_0^3 - 253771190366004/22792696519823*c_1100_0^2 - 116521362092589/22792696519823*c_1100_0 - 48974556424221/22792696519823, c_1001_0 - 6577934158445/22792696519823*c_1100_0^11 - 16925276611690/22792696519823*c_1100_0^10 + 48273269676098/22792696519823*c_1100_0^9 + 213469077000983/22792696519823*c_1100_0^8 - 412566524934670/22792696519823*c_1100_0^7 - 393658748551163/22792696519823*c_1100_0^6 - 14813335743821/22792696519823*c_1100_0^5 - 124538359075036/22792696519823*c_1100_0^4 - 564848174852649/22792696519823*c_1100_0^3 - 425170043838192/22792696519823*c_1100_0^2 - 217426531337627/22792696519823*c_1100_0 - 27341168940182/22792696519823, c_1100_0^12 + 3*c_1100_0^11 - 6*c_1100_0^10 - 35*c_1100_0^9 + 47*c_1100_0^8 + 79*c_1100_0^7 + 44*c_1100_0^6 + 33*c_1100_0^5 + 92*c_1100_0^4 + 104*c_1100_0^3 + 81*c_1100_0^2 + 31*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 32.09MB