Magma V2.19-8 Wed Aug 21 2013 00:05:08 on localhost [Seed = 172778609] Type ? for help. Type -D to quit. Loading file "L9a27__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a27 geometric_solution 11.18847780 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 -1 0 1 0 0 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498831247292 1.057805134961 0 4 4 5 0132 1023 0132 0132 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 0 1 -1 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010747135503 0.790359501118 5 0 7 6 0132 0132 0132 0132 1 1 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 1 0 -1 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 0.719588051896 0.922775508231 6 8 5 0 0132 0132 0132 0132 1 1 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 1 0 0 -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 0.719588051896 0.922775508231 1 5 0 1 1023 0132 0132 0132 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 0 0 -1 1 -1 0 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 0.010747135503 0.790359501118 2 4 1 3 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498831247292 1.057805134961 3 9 2 7 0132 0132 0132 3120 1 1 0 0 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 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 0.713377872443 0.740671396823 6 8 10 2 3120 0321 0132 0132 1 1 0 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 0 0 0 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 0.419654357834 0.427232613656 11 3 9 7 0132 0132 0132 0321 1 1 0 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070379099375 0.591900765305 11 6 10 8 1023 0132 0213 0132 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 -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 -0.276271932254 0.855438796761 11 9 11 7 3012 0213 1023 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 1 -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 0.787464271277 0.608763716513 8 9 10 10 0132 1023 1023 1230 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 1 -1 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 0.511192339023 1.464202513274 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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_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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_10'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_7']), '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_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_7']})} 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_2, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1106230888275/18259408*c_1100_0^11 - 8871558009399/18259408*c_1100_0^10 + 39063608569719/18259408*c_1100_0^9 - 109834833675417/18259408*c_1100_0^8 + 209760852061695/18259408*c_1100_0^7 - 34834256396747/2282426*c_1100_0^6 + 259810815523581/18259408*c_1100_0^5 - 20961020491927/2282426*c_1100_0^4 + 72373124672115/18259408*c_1100_0^3 - 9837151743669/9129704*c_1100_0^2 + 753374822793/4564852*c_1100_0 - 197032928229/18259408, c_0011_0 - 1, c_0011_10 + 13942154075/4564852*c_1100_0^11 - 110281016627/4564852*c_1100_0^10 + 480890915931/4564852*c_1100_0^9 - 1336468877093/4564852*c_1100_0^8 + 2517758228939/4564852*c_1100_0^7 - 822649304670/1141213*c_1100_0^6 + 3009714868713/4564852*c_1100_0^5 - 474609278269/1141213*c_1100_0^4 + 797650306639/4564852*c_1100_0^3 - 105290911109/2282426*c_1100_0^2 + 7834312415/1141213*c_1100_0 - 1992049061/4564852, c_0011_11 + 9343697200/1141213*c_1100_0^11 - 73263293377/1141213*c_1100_0^10 + 317507704532/1141213*c_1100_0^9 - 875861168895/1141213*c_1100_0^8 + 1635672619362/1141213*c_1100_0^7 - 2115492922273/1141213*c_1100_0^6 + 1911644754287/1141213*c_1100_0^5 - 1188769117017/1141213*c_1100_0^4 + 491684276113/1141213*c_1100_0^3 - 127908722866/1141213*c_1100_0^2 + 18849510424/1141213*c_1100_0 - 1197839561/1141213, c_0011_7 - 3058951250/1141213*c_1100_0^11 + 24422855650/1141213*c_1100_0^10 - 107218163827/1141213*c_1100_0^9 + 300419075622/1141213*c_1100_0^8 - 571525855603/1141213*c_1100_0^7 + 756065837306/1141213*c_1100_0^6 - 701862730320/1141213*c_1100_0^5 + 451199879483/1141213*c_1100_0^4 - 194296022840/1141213*c_1100_0^3 + 52960733775/1141213*c_1100_0^2 - 8216375534/1141213*c_1100_0 + 551404003/1141213, c_0101_0 - 1, c_0101_1 + 3296977075/4564852*c_1100_0^11 - 25665078507/4564852*c_1100_0^10 + 110668669863/4564852*c_1100_0^9 - 303413541177/4564852*c_1100_0^8 + 562533474927/4564852*c_1100_0^7 - 180291734895/1141213*c_1100_0^6 + 644905953645/4564852*c_1100_0^5 - 98973863792/1141213*c_1100_0^4 + 161220387007/4564852*c_1100_0^3 - 20598787265/2282426*c_1100_0^2 + 1489580786/1141213*c_1100_0 - 375087401/4564852, c_0101_2 - 2983043325/2282426*c_1100_0^11 + 23312272207/2282426*c_1100_0^10 - 100791408159/2282426*c_1100_0^9 + 277231866023/2282426*c_1100_0^8 - 515934739937/2282426*c_1100_0^7 + 332213519623/1141213*c_1100_0^6 - 597304221457/2282426*c_1100_0^5 + 184519337234/1141213*c_1100_0^4 - 151433497027/2282426*c_1100_0^3 + 19516902014/1141213*c_1100_0^2 - 2846666267/1141213*c_1100_0 + 355541369/2282426, c_0101_7 + 2981275775/1141213*c_1100_0^11 - 23350369324/1141213*c_1100_0^10 + 101115810337/1141213*c_1100_0^9 - 278664062974/1141213*c_1100_0^8 + 519803436015/1141213*c_1100_0^7 - 671326899681/1141213*c_1100_0^6 + 605594493271/1141213*c_1100_0^5 - 375784571935/1141213*c_1100_0^4 + 155018428350/1141213*c_1100_0^3 - 40202655880/1141213*c_1100_0^2 + 5903370311/1141213*c_1100_0 - 373747888/1141213, c_1001_0 - 2983043325/2282426*c_1100_0^11 + 23312272207/2282426*c_1100_0^10 - 100791408159/2282426*c_1100_0^9 + 277231866023/2282426*c_1100_0^8 - 515934739937/2282426*c_1100_0^7 + 332213519623/1141213*c_1100_0^6 - 597304221457/2282426*c_1100_0^5 + 184519337234/1141213*c_1100_0^4 - 151433497027/2282426*c_1100_0^3 + 19516902014/1141213*c_1100_0^2 - 2846666267/1141213*c_1100_0 + 355541369/2282426, c_1001_2 - 1, c_1001_7 - 12546899125/4564852*c_1100_0^11 + 98033751485/4564852*c_1100_0^10 - 423625726945/4564852*c_1100_0^9 + 1164293928835/4564852*c_1100_0^8 - 2163838611849/4564852*c_1100_0^7 + 695089841672/1141213*c_1100_0^6 - 2490252573083/4564852*c_1100_0^5 + 382325086197/1141213*c_1100_0^4 - 621165025197/4564852*c_1100_0^3 + 78747602311/2282426*c_1100_0^2 - 5600962908/1141213*c_1100_0 + 1356163015/4564852, c_1100_0^12 - 204/25*c_1100_0^11 + 912/25*c_1100_0^10 - 2614/25*c_1100_0^9 + 5122/25*c_1100_0^8 - 7051/25*c_1100_0^7 + 6911/25*c_1100_0^6 - 4801/25*c_1100_0^5 + 2321/25*c_1100_0^4 - 757/25*c_1100_0^3 + 158/25*c_1100_0^2 - 19/25*c_1100_0 + 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB