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Loading file "K10n18__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n18 geometric_solution 8.90151664 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 1 2 0132 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744428273518 0.751470299926 0 0 4 3 0132 0213 0132 0132 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 1 -1 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 0.405653619430 1.192763578570 5 0 6 0 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.744428273518 0.751470299926 5 4 1 7 1302 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207675619456 1.153315097453 8 3 9 1 0132 0132 0132 0132 0 0 0 0 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 -1 1 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 0.151967169147 0.423189282733 2 3 8 9 0132 2031 0321 2031 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 -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 0.668075117126 0.329395588406 9 7 7 2 2031 2103 2031 0132 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 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 0.499063495613 0.437760738783 8 6 3 6 3120 2103 0132 1302 0 0 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 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 1.131876121555 0.989129206682 4 9 5 7 0132 1023 0321 3120 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 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.427578156581 1.260644306894 8 5 6 4 1023 1302 1302 0132 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 0 -1 0 1 -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 0.368499897730 0.555572353926 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_6'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_1001_2'], 'c_1010_7' : negation(d['c_1001_2']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_7']), '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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_7, c_0101_1, c_0101_2, c_0101_6, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2709240780209/46663752844*c_1001_2^14 + 112033433409449/326646269908*c_1001_2^13 + 7902630799039/81661567477*c_1001_2^12 - 441578973415347/163323134954*c_1001_2^11 + 769111291866531/326646269908*c_1001_2^10 + 1582718840442021/326646269908*c_1001_2^9 - 1373827387213601/163323134954*c_1001_2^8 + 177824787750983/46663752844*c_1001_2^7 + 116906566397191/326646269908*c_1001_2^6 + 147060489332171/81661567477*c_1001_2^5 - 553908791688545/326646269908*c_1001_2^4 - 7628795073695/326646269908*c_1001_2^3 + 86128817904391/163323134954*c_1001_2^2 + 141107432580783/326646269908*c_1001_2 - 26887960050475/326646269908, c_0011_0 - 1, c_0011_3 + 1028515282/11665938211*c_1001_2^14 - 4674993442/11665938211*c_1001_2^13 - 8529276449/11665938211*c_1001_2^12 + 39710813750/11665938211*c_1001_2^11 + 8677509225/11665938211*c_1001_2^10 - 96471565437/11665938211*c_1001_2^9 + 68973648520/11665938211*c_1001_2^8 + 31199912880/11665938211*c_1001_2^7 - 87127503604/11665938211*c_1001_2^6 - 8924715346/11665938211*c_1001_2^5 - 17356751374/11665938211*c_1001_2^4 + 24140262409/11665938211*c_1001_2^3 - 21034576175/11665938211*c_1001_2^2 - 28514878450/11665938211*c_1001_2 - 5004765523/11665938211, c_0011_6 - 4497958141/23331876422*c_1001_2^14 + 25270980685/23331876422*c_1001_2^13 + 8753759107/11665938211*c_1001_2^12 - 108153441143/11665938211*c_1001_2^11 + 97750032875/23331876422*c_1001_2^10 + 494707290355/23331876422*c_1001_2^9 - 239615417085/11665938211*c_1001_2^8 - 21718233015/23331876422*c_1001_2^7 + 100400254757/23331876422*c_1001_2^6 + 70723313444/11665938211*c_1001_2^5 - 18175417759/23331876422*c_1001_2^4 - 87198871429/23331876422*c_1001_2^3 - 3698300194/11665938211*c_1001_2^2 + 47499965271/23331876422*c_1001_2 - 1360548937/23331876422, c_0011_7 - 1384135145/23331876422*c_1001_2^14 + 6063840461/23331876422*c_1001_2^13 + 6901172334/11665938211*c_1001_2^12 - 27616612087/11665938211*c_1001_2^11 - 41633000029/23331876422*c_1001_2^10 + 160359301033/23331876422*c_1001_2^9 + 16341385558/11665938211*c_1001_2^8 - 151593127313/23331876422*c_1001_2^7 - 44963639953/23331876422*c_1001_2^6 + 63886910646/11665938211*c_1001_2^5 + 25277626249/23331876422*c_1001_2^4 - 35778425901/23331876422*c_1001_2^3 - 21884511201/11665938211*c_1001_2^2 + 5864947427/23331876422*c_1001_2 + 16032916699/23331876422, c_0101_1 + 548374281/23331876422*c_1001_2^14 - 2641357621/23331876422*c_1001_2^13 - 2144434155/11665938211*c_1001_2^12 + 11900826521/11665938211*c_1001_2^11 + 4044022743/23331876422*c_1001_2^10 - 62539909541/23331876422*c_1001_2^9 + 16793112812/11665938211*c_1001_2^8 + 27664155599/23331876422*c_1001_2^7 - 36661848735/23331876422*c_1001_2^6 - 1656549737/11665938211*c_1001_2^5 - 22249877717/23331876422*c_1001_2^4 + 17701493609/23331876422*c_1001_2^3 - 19943709395/11665938211*c_1001_2^2 - 4361744315/23331876422*c_1001_2 - 17325135631/23331876422, c_0101_2 + 152834361/23331876422*c_1001_2^14 - 774675819/23331876422*c_1001_2^13 - 563992801/11665938211*c_1001_2^12 + 3619875089/11665938211*c_1001_2^11 + 992923127/23331876422*c_1001_2^10 - 18917078947/23331876422*c_1001_2^9 + 5060851715/11665938211*c_1001_2^8 + 6192484747/23331876422*c_1001_2^7 - 11548321201/23331876422*c_1001_2^6 - 558130138/11665938211*c_1001_2^5 - 34952050261/23331876422*c_1001_2^4 + 5316868237/23331876422*c_1001_2^3 + 16392042553/11665938211*c_1001_2^2 - 749401849/23331876422*c_1001_2 + 648888065/23331876422, c_0101_6 + c_1001_2, c_0101_7 - 3002542283/11665938211*c_1001_2^14 + 17981189368/11665938211*c_1001_2^13 + 3555213558/11665938211*c_1001_2^12 - 140381896472/11665938211*c_1001_2^11 + 132616538906/11665938211*c_1001_2^10 + 245334455855/11665938211*c_1001_2^9 - 441184567105/11665938211*c_1001_2^8 + 217480953549/11665938211*c_1001_2^7 - 49858077173/11665938211*c_1001_2^6 + 96434372446/11665938211*c_1001_2^5 - 77816324537/11665938211*c_1001_2^4 - 25333485544/11665938211*c_1001_2^3 + 20452620588/11665938211*c_1001_2^2 + 6346625058/11665938211*c_1001_2 - 12423962807/11665938211, c_1001_0 + 6006740791/23331876422*c_1001_2^14 - 35492070465/23331876422*c_1001_2^13 - 4324049206/11665938211*c_1001_2^12 + 136010604038/11665938211*c_1001_2^11 - 246501682553/23331876422*c_1001_2^10 - 440454795791/23331876422*c_1001_2^9 + 410225493368/11665938211*c_1001_2^8 - 501013704775/23331876422*c_1001_2^7 + 147798971419/23331876422*c_1001_2^6 - 141469110583/11665938211*c_1001_2^5 + 170882383465/23331876422*c_1001_2^4 - 22249877717/23331876422*c_1001_2^3 - 18179586755/11665938211*c_1001_2^2 - 58602727905/23331876422*c_1001_2 + 7651737267/23331876422, c_1001_2^15 - 6*c_1001_2^14 - c_1001_2^13 + 46*c_1001_2^12 - 45*c_1001_2^11 - 74*c_1001_2^10 + 147*c_1001_2^9 - 89*c_1001_2^8 + 20*c_1001_2^7 - 41*c_1001_2^6 + 29*c_1001_2^5 - 9*c_1001_2^3 - 7*c_1001_2^2 + 2*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB