Magma V2.19-8 Tue Aug 20 2013 23:40:37 on localhost [Seed = 1679950068] Type ? for help. Type -D to quit. Loading file "K12n374__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n374 geometric_solution 10.35547541 oriented_manifold CS_known 0.0000000000000003 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 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 1 -1 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780462990548 0.550849535783 0 5 2 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.640633520006 0.247328606160 7 0 8 1 0132 0132 0132 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 0 0 0 -1 0 0 1 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353518981853 0.628248905166 6 5 9 0 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.134183148741 0.381694086772 7 7 0 5 2103 0132 0132 3120 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 1 0 0 0 0 0 1 -1 0 0 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781250370672 1.101751472749 4 1 10 3 3120 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009370017995 0.462214984970 3 11 1 9 0132 0132 0132 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 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 0.642553559401 2.479830337714 2 4 4 11 0132 0132 2103 2310 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 1 -1 0 1 0 0 -1 0 -11 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137832193378 1.578082549305 9 11 10 2 0132 2310 2310 0132 0 0 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 -12 0 0 12 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282272529527 0.427314741750 8 6 10 3 0132 0321 2103 0132 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 -1 1 0 0 12 -1 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334271472241 0.701996641401 9 8 11 5 2103 3201 0321 0132 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272310367142 1.207092780828 7 6 10 8 3201 0132 0321 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 -11 0 11 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 0.941647229848 1.078790833487 ==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' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_11']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0110_11']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_11']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0110_11']), 'c_1100_8' : d['c_0011_10'], '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' : 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' : 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_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], '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_8'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_8']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_11, c_1001_0, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4145947781369369569481356/928327480145240683845*c_1001_5^10 - 20757688992914954548049797/309442493381746894615*c_1001_5^9 + 266598867948714603798359863/928327480145240683845*c_1001_5^8 - 2569315221690383651816548/61888498676349378923*c_1001_5^7 - 82044261374526087991356873/61888498676349378923*c_1001_5^6 - 754455279315563986150005697/928327480145240683845*c_1001_5^5 + 173096065218046877537273243/185665496029048136769*c_1001_5^4 + 869685175435552399445214497/928327480145240683845*c_1001_5^3 - 349563021182420063931807058/928327480145240683845*c_1001_5^2 - 656314791601197057326773489/928327480145240683845*c_1001_5 - 202170803080665317357079158/928327480145240683845, c_0011_0 - 1, c_0011_10 + 1225653081269/2047357215083*c_1001_5^10 - 19196848777754/2047357215083*c_1001_5^9 + 91159087916838/2047357215083*c_1001_5^8 - 70184935844979/2047357215083*c_1001_5^7 - 317530299725211/2047357215083*c_1001_5^6 - 20394422937806/2047357215083*c_1001_5^5 + 265022588681471/2047357215083*c_1001_5^4 + 89533865536544/2047357215083*c_1001_5^3 - 155757593343803/2047357215083*c_1001_5^2 - 94351460636767/2047357215083*c_1001_5 - 3013485274864/2047357215083, c_0011_11 + 407614019724/2047357215083*c_1001_5^10 - 6352363149129/2047357215083*c_1001_5^9 + 29806594282170/2047357215083*c_1001_5^8 - 20803553541014/2047357215083*c_1001_5^7 - 108258371091407/2047357215083*c_1001_5^6 - 14026109406071/2047357215083*c_1001_5^5 + 89210998985898/2047357215083*c_1001_5^4 + 37205320925925/2047357215083*c_1001_5^3 - 50811266179186/2047357215083*c_1001_5^2 - 36342259090563/2047357215083*c_1001_5 - 2079768908859/2047357215083, c_0011_8 - 587211653410/2047357215083*c_1001_5^10 + 9254375305184/2047357215083*c_1001_5^9 - 44606037812025/2047357215083*c_1001_5^8 + 38466199912833/2047357215083*c_1001_5^7 + 145850600814759/2047357215083*c_1001_5^6 - 1419361162219/2047357215083*c_1001_5^5 - 120592321176176/2047357215083*c_1001_5^4 - 33376395406372/2047357215083*c_1001_5^3 + 74413415756760/2047357215083*c_1001_5^2 + 38053700646349/2047357215083*c_1001_5 + 371415492335/2047357215083, c_0101_0 - 1072545243634/2047357215083*c_1001_5^10 + 16880792846634/2047357215083*c_1001_5^9 - 81091658506238/2047357215083*c_1001_5^8 + 68048661544907/2047357215083*c_1001_5^7 + 270948668537197/2047357215083*c_1001_5^6 - 3446053617460/2047357215083*c_1001_5^5 - 222492483801760/2047357215083*c_1001_5^4 - 52239684303002/2047357215083*c_1001_5^3 + 134224631890838/2047357215083*c_1001_5^2 + 66861588718534/2047357215083*c_1001_5 - 2198680557748/2047357215083, c_0101_1 - 41627946878/2047357215083*c_1001_5^10 + 765230198544/2047357215083*c_1001_5^9 - 4932041267242/2047357215083*c_1001_5^8 + 11808835259434/2047357215083*c_1001_5^7 - 773350101686/2047357215083*c_1001_5^6 - 22663040914212/2047357215083*c_1001_5^5 + 1121438114782/2047357215083*c_1001_5^4 + 20004884808287/2047357215083*c_1001_5^3 + 3539813571451/2047357215083*c_1001_5^2 - 12111260643645/2047357215083*c_1001_5 - 2354465889476/2047357215083, c_0101_10 + 1494236672647/2047357215083*c_1001_5^10 - 23385242162319/2047357215083*c_1001_5^9 + 110834784902932/2047357215083*c_1001_5^8 - 83959363218126/2047357215083*c_1001_5^7 - 389660065688860/2047357215083*c_1001_5^6 - 26316842087350/2047357215083*c_1001_5^5 + 323079922293127/2047357215083*c_1001_5^4 + 107823219858369/2047357215083*c_1001_5^3 - 189379600183865/2047357215083*c_1001_5^2 - 115029060187862/2047357215083*c_1001_5 - 2439910126943/2047357215083, c_0101_5 - 282661000667/2047357215083*c_1001_5^10 + 4340479551121/2047357215083*c_1001_5^9 - 19612229100618/2047357215083*c_1001_5^8 + 8881575505352/2047357215083*c_1001_5^7 + 82582792023905/2047357215083*c_1001_5^6 + 21659205448283/2047357215083*c_1001_5^5 - 69433773117125/2047357215083*c_1001_5^4 - 36667568951267/2047357215083*c_1001_5^3 + 37965708953903/2047357215083*c_1001_5^2 + 32502811929860/2047357215083*c_1001_5 + 1985246627911/2047357215083, c_0110_11 - 663635856809/2047357215083*c_1001_5^10 + 10384854164012/2047357215083*c_1001_5^9 - 49206420350115/2047357215083*c_1001_5^8 + 37215996083510/2047357215083*c_1001_5^7 + 172952385588172/2047357215083*c_1001_5^6 + 12728347229830/2047357215083*c_1001_5^5 - 144543788642223/2047357215083*c_1001_5^4 - 48218952465764/2047357215083*c_1001_5^3 + 84370376228530/2047357215083*c_1001_5^2 + 51687918143217/2047357215083*c_1001_5 + 2186685302297/2047357215083, c_1001_0 + 472907864089/2047357215083*c_1001_5^10 - 7360770157454/2047357215083*c_1001_5^9 + 34420666167082/2047357215083*c_1001_5^8 - 23169399633835/2047357215083*c_1001_5^7 - 127657243014081/2047357215083*c_1001_5^6 - 16509751101228/2047357215083*c_1001_5^5 + 107312416658896/2047357215083*c_1001_5^4 + 40019443465672/2047357215083*c_1001_5^3 - 60874695186604/2047357215083*c_1001_5^2 - 42212616740544/2047357215083*c_1001_5 - 1481690033087/2047357215083, c_1001_11 + 637380686321/2047357215083*c_1001_5^10 - 9915285665517/2047357215083*c_1001_5^9 + 46289555071350/2047357215083*c_1001_5^8 - 30543420876664/2047357215083*c_1001_5^7 - 173916673607732/2047357215083*c_1001_5^6 - 20927664189420/2047357215083*c_1001_5^5 + 145779362436113/2047357215083*c_1001_5^4 + 53417462814806/2047357215083*c_1001_5^3 - 84217254254042/2047357215083*c_1001_5^2 - 54455802650381/2047357215083*c_1001_5 - 634838198701/2047357215083, c_1001_5^11 - 15*c_1001_5^10 + 64*c_1001_5^9 - 8*c_1001_5^8 - 297*c_1001_5^7 - 188*c_1001_5^6 + 205*c_1001_5^5 + 214*c_1001_5^4 - 80*c_1001_5^3 - 160*c_1001_5^2 - 52*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.590 Total time: 0.800 seconds, Total memory usage: 32.09MB