Magma V2.19-8 Tue Aug 20 2013 23:45:47 on localhost [Seed = 1562065076] Type ? for help. Type -D to quit. Loading file "K13n612__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n612 geometric_solution 10.88788905 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 0 -1 1 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 0.307750962811 0.654864419325 0 5 7 6 0132 0132 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 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408643679109 0.710730284269 8 0 6 5 0132 0132 2310 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 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 0.155803778271 0.857333902196 9 10 6 0 0132 0132 0132 0132 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 -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 1.412193251003 1.250796169219 10 8 0 11 3201 0321 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 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 1.249215681029 0.997044722584 9 1 10 2 2103 0132 0321 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417654717652 0.812562991961 7 2 1 3 1302 3201 0132 0132 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 1 0 -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 0.198668398039 0.595061738558 10 6 11 1 0213 2031 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 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 0.943372134649 0.614082696176 2 9 11 4 0132 2103 1302 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.607072877850 0.777490196966 3 8 5 11 0132 2103 2103 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361678165783 0.741080094202 7 3 5 4 0213 0132 0321 2310 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 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 0.307750962811 0.654864419325 8 9 4 7 2031 2310 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 0 0 0 -1 0 0 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 0.505273999883 0.609520107442 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : 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_0011_7'], 's_2_0' : negation(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' : negation(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' : 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_0011_11']), 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_7']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_4, c_0011_6, c_0011_7, c_0101_1, c_0101_11, c_0101_3, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1285530202256786998801467291/18705421253115182029312*c_1100_0^15 - 2398395797042668220563152157/4676355313278795507328*c_1100_0^14 - 30484438351458497406474195943/18705421253115182029312*c_1100_0^13 - 22807181297580945712424179815/9352710626557591014656*c_1100_0^12 - 77167757473694833612757227/292272207079924719208*c_1100_0^11 + 24775391944373529717773126781/4676355313278795507328*c_1100_0^10 + 149306781554919532579355973689/18705421253115182029312*c_1100_0^9 + 13029692679840065612944813663/9352710626557591014656*c_1100_0^8 - 78971119262993254225744661871/9352710626557591014656*c_1100_0^7 - 40109101465414938651108841393/4676355313278795507328*c_1100_0^6 + 131035921278509499624725563/246123963856778710912*c_1100_0^5 + 2823712765005032598685573379/492247927713557421824*c_1100_0^4 + 6478420298632571962878677025/2338177656639397753664*c_1100_0^3 - 7295128065707421894659768343/9352710626557591014656*c_1100_0^2 - 841573772742756157927809255/850246420596144637696*c_1100_0 - 1090597739937239982987605601/4676355313278795507328, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 58690546706163287/12227939380801804*c_1100_0^15 - 103722537382825923/3056984845200451*c_1100_0^14 - 1224804943299902119/12227939380801804*c_1100_0^13 - 799370477939961243/6113969690400902*c_1100_0^12 + 86263580761641060/3056984845200451*c_1100_0^11 + 1044732930136643158/3056984845200451*c_1100_0^10 + 4915501024288964277/12227939380801804*c_1100_0^9 - 307129017251142357/6113969690400902*c_1100_0^8 - 3125028861226651613/6113969690400902*c_1100_0^7 - 1062271145642215772/3056984845200451*c_1100_0^6 + 455891641058035850/3056984845200451*c_1100_0^5 + 1686511301182843767/6113969690400902*c_1100_0^4 + 187064133272248647/3056984845200451*c_1100_0^3 - 342928067781223699/6113969690400902*c_1100_0^2 - 16524885880307953/555815426400082*c_1100_0 - 10230987780034776/3056984845200451, c_0011_4 + c_1100_0, c_0011_6 + 27931306138755661/12227939380801804*c_1100_0^15 + 86035022677212047/6113969690400902*c_1100_0^14 + 426924984854123541/12227939380801804*c_1100_0^13 + 91973143430949933/3056984845200451*c_1100_0^12 - 132160786519919153/3056984845200451*c_1100_0^11 - 390327430533705498/3056984845200451*c_1100_0^10 - 883769095750129439/12227939380801804*c_1100_0^9 + 348186966995761543/3056984845200451*c_1100_0^8 + 1085239682647375457/6113969690400902*c_1100_0^7 + 49716102161760095/3056984845200451*c_1100_0^6 - 366784654772266331/3056984845200451*c_1100_0^5 - 405720005122393591/6113969690400902*c_1100_0^4 + 61998692813258678/3056984845200451*c_1100_0^3 + 141556221125442335/6113969690400902*c_1100_0^2 + 3411423245984687/555815426400082*c_1100_0 + 2050865929379973/3056984845200451, c_0011_7 + 89688084841794313/12227939380801804*c_1100_0^15 + 152145211466821641/3056984845200451*c_1100_0^14 + 1718592716799313137/12227939380801804*c_1100_0^13 + 1016622560443792395/6113969690400902*c_1100_0^12 - 260112028414303103/3056984845200451*c_1100_0^11 - 1594278095935368797/3056984845200451*c_1100_0^10 - 6544801375138057587/12227939380801804*c_1100_0^9 + 1078414378207955407/6113969690400902*c_1100_0^8 + 4869058483389091283/6113969690400902*c_1100_0^7 + 1387857418228198817/3056984845200451*c_1100_0^6 - 915958355379382947/3056984845200451*c_1100_0^5 - 2615374054343867783/6113969690400902*c_1100_0^4 - 207741810218832191/3056984845200451*c_1100_0^3 + 623316214834287523/6113969690400902*c_1100_0^2 + 26511259693030133/555815426400082*c_1100_0 + 13023534375756743/3056984845200451, c_0101_1 - 82534588922798825/12227939380801804*c_1100_0^15 - 264593553066380915/6113969690400902*c_1100_0^14 - 1389841768447251841/12227939380801804*c_1100_0^13 - 343607874578361707/3056984845200451*c_1100_0^12 + 370496128691568573/3056984845200451*c_1100_0^11 + 1385881475274142237/3056984845200451*c_1100_0^10 + 4492755163110721407/12227939380801804*c_1100_0^9 - 826195146282418745/3056984845200451*c_1100_0^8 - 4191182150546219751/6113969690400902*c_1100_0^7 - 850376842565615457/3056984845200451*c_1100_0^6 + 1011231127292968990/3056984845200451*c_1100_0^5 + 2117328527742309455/6113969690400902*c_1100_0^4 + 71151789984308298/3056984845200451*c_1100_0^3 - 580743749591932599/6113969690400902*c_1100_0^2 - 21970473034914033/555815426400082*c_1100_0 - 8799477806358409/3056984845200451, c_0101_11 + 7561741299374211/12227939380801804*c_1100_0^15 + 3327887298475035/6113969690400902*c_1100_0^14 - 123514406490974417/12227939380801804*c_1100_0^13 - 125180113452520843/3056984845200451*c_1100_0^12 - 186033253460353031/3056984845200451*c_1100_0^11 - 638722188011334/3056984845200451*c_1100_0^10 + 1480099983403170455/12227939380801804*c_1100_0^9 + 404993047760755213/3056984845200451*c_1100_0^8 - 198611930492560735/6113969690400902*c_1100_0^7 - 461446574841213967/3056984845200451*c_1100_0^6 - 181266351336532172/3056984845200451*c_1100_0^5 + 378595366566097755/6113969690400902*c_1100_0^4 + 132068225879850660/3056984845200451*c_1100_0^3 - 50072510886326167/6113969690400902*c_1100_0^2 - 4535732279073901/555815426400082*c_1100_0 - 1251994686545249/3056984845200451, c_0101_3 + 23755568694353655/12227939380801804*c_1100_0^15 + 39675877357623659/3056984845200451*c_1100_0^14 + 459924278095891871/12227939380801804*c_1100_0^13 + 311214536733930011/6113969690400902*c_1100_0^12 + 1912831323708948/3056984845200451*c_1100_0^11 - 321685372966416770/3056984845200451*c_1100_0^10 - 1697717273302736757/12227939380801804*c_1100_0^9 - 61661088918382121/6113969690400902*c_1100_0^8 + 872874343853765445/6113969690400902*c_1100_0^7 + 368217108577082756/3056984845200451*c_1100_0^6 - 68159664616919046/3056984845200451*c_1100_0^5 - 487644011297491621/6113969690400902*c_1100_0^4 - 81909960075397339/3056984845200451*c_1100_0^3 + 98523201602478005/6113969690400902*c_1100_0^2 + 5936591307533469/555815426400082*c_1100_0 - 693962065317216/3056984845200451, c_1001_0 - 33044203127414053/6113969690400902*c_1100_0^15 - 104655965104095264/3056984845200451*c_1100_0^14 - 564154833411633245/6113969690400902*c_1100_0^13 - 328810539900159171/3056984845200451*c_1100_0^12 + 116035046929295367/3056984845200451*c_1100_0^11 + 845110948382182347/3056984845200451*c_1100_0^10 + 1728839345755223353/6113969690400902*c_1100_0^9 - 186909760533841198/3056984845200451*c_1100_0^8 - 1030885318343647055/3056984845200451*c_1100_0^7 - 585403713377647514/3056984845200451*c_1100_0^6 + 286871319501133163/3056984845200451*c_1100_0^5 + 407224337325965835/3056984845200451*c_1100_0^4 + 75884895166642501/3056984845200451*c_1100_0^3 - 62833695797009197/3056984845200451*c_1100_0^2 - 3046911315810126/277907713200041*c_1100_0 - 2073394975359612/3056984845200451, c_1001_11 - 14919442804516935/12227939380801804*c_1100_0^15 - 54448382385129383/6113969690400902*c_1100_0^14 - 322345529040868851/12227939380801804*c_1100_0^13 - 95273645343821168/3056984845200451*c_1100_0^12 + 73422532856219346/3056984845200451*c_1100_0^11 + 380337976697747292/3056984845200451*c_1100_0^10 + 1575848850814362897/12227939380801804*c_1100_0^9 - 156877611387239147/3056984845200451*c_1100_0^8 - 1348765671781244885/6113969690400902*c_1100_0^7 - 395731593696239734/3056984845200451*c_1100_0^6 + 288787093544707238/3056984845200451*c_1100_0^5 + 839142306544222917/6113969690400902*c_1100_0^4 + 57214738425933085/3056984845200451*c_1100_0^3 - 232780243757197427/6113969690400902*c_1100_0^2 - 7975203029350479/555815426400082*c_1100_0 - 1920067897898267/3056984845200451, c_1100_0^16 + 174/23*c_1100_0^15 + 563/23*c_1100_0^14 + 872/23*c_1100_0^13 + 172/23*c_1100_0^12 - 1764/23*c_1100_0^11 - 2853/23*c_1100_0^10 - 740/23*c_1100_0^9 + 2778/23*c_1100_0^8 + 3160/23*c_1100_0^7 + 116/23*c_1100_0^6 - 1938/23*c_1100_0^5 - 1124/23*c_1100_0^4 + 166/23*c_1100_0^3 + 358/23*c_1100_0^2 + 112/23*c_1100_0 + 8/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.900 Total time: 1.110 seconds, Total memory usage: 32.09MB