Magma V2.19-8 Wed Aug 21 2013 00:54:45 on localhost [Seed = 1646557227] Type ? for help. Type -D to quit. Loading file "L12n624__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n624 geometric_solution 11.23289685 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 -1 -1 0 1 0 -1 -2 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754764276132 0.618564634937 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 1 0 0 -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 0.645867500282 1.367579267137 8 0 9 5 0132 0132 0132 3012 1 0 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 -1 0 1 1 0 0 -1 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365979576702 1.295737627557 10 11 6 0 0132 0132 3201 0132 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 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 0.008383189166 0.752645743851 10 6 0 12 3120 2310 0132 0132 1 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 -1 1 0 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.378422957838 0.774606117314 8 1 2 9 2310 0132 1230 2310 0 1 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 0 0 0 0 0 0 0 0 -3 1 2 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 1.196360647003 0.729491808669 3 12 1 4 2310 2310 0132 3201 0 1 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 0 0 0 0 0 3 -3 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 0.496660186685 1.566634837348 11 8 10 1 0213 2310 0213 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471232111848 0.447662682403 2 11 5 7 0132 0213 3201 3201 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 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 0.635322063641 0.722570641869 5 12 12 2 3201 1023 0213 0132 1 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 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 -2 0 0 2 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574522350874 1.270275449952 3 7 11 4 0132 0213 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374231820457 1.244307543654 7 3 8 10 0213 0132 0213 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.652677523343 0.275361756536 9 9 4 6 1023 0213 0132 3201 1 1 0 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 0 0 0 0 0 0 0 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704414493872 0.653542914780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_12'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0110_12'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : d['c_0101_0'], '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' : 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_1001_5']), 'c_1100_8' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0110_12']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_12'], 'c_1010_9' : d['c_0110_12'], 'c_1010_8' : negation(d['c_1001_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'], 'c_1100_12' : negation(d['c_0011_6']), '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' : d['c_0011_12'], '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_0'], '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' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], '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_0101_12'], '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_12'], 'c_0101_8' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_12'])})} 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0110_12, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 832534210009492512076350134957/472047418251417068543180564370*c_100\ 1_5^13 - 4529691075623849638249614929/130184064603258981947926245*c\ _1001_5^12 + 139368467422566587503684236642361/47204741825141706854\ 3180564370*c_1001_5^11 - 332978591265324889484119531427137/23602370\ 9125708534271590282185*c_1001_5^10 + 283395026722865087198992785464939/67435345464488152649025794910*c_1\ 001_5^9 - 457467115094250274915961971528587/52449713139046340949242\ 284930*c_1001_5^8 + 3386460175114880371929664963265597/236023709125\ 708534271590282185*c_1001_5^7 - 2142680914674162354924317454403/107\ 210406143860338074762790*c_1001_5^6 + 10583333797163173295855834905412023/472047418251417068543180564370*\ c_1001_5^5 - 631522929130441657176004772743049/31469827883427804569\ 545370958*c_1001_5^4 + 3386528326646201231600200188086767/236023709\ 125708534271590282185*c_1001_5^3 - 1755062596981012659993604727743691/236023709125708534271590282185*c\ _1001_5^2 + 199308182602012588117946457293197/786745697085695114238\ 63427395*c_1001_5 - 193804718683597802239223246223437/4720474182514\ 17068543180564370, c_0011_0 - 1, c_0011_10 + 392887137939385971/1031405769605453318*c_1001_5^13 - 7626697187194638213/1031405769605453318*c_1001_5^12 + 63381418104369222855/1031405769605453318*c_1001_5^11 - 294703802169391123753/1031405769605453318*c_1001_5^10 + 423470112186854938813/515702884802726659*c_1001_5^9 - 1693594307263962813133/1031405769605453318*c_1001_5^8 + 1356680639044568283494/515702884802726659*c_1001_5^7 - 1849165891924849507820/515702884802726659*c_1001_5^6 + 1994819714333054619728/515702884802726659*c_1001_5^5 - 3429784240440766972623/1031405769605453318*c_1001_5^4 + 2345796844506962612015/1031405769605453318*c_1001_5^3 - 555379332061536830003/515702884802726659*c_1001_5^2 + 169096165092224132380/515702884802726659*c_1001_5 - 20210303596319484370/515702884802726659, c_0011_12 + 568066912599304522/8766949041646353203*c_1001_5^13 - 21938992677750019019/17533898083292706406*c_1001_5^12 + 181071930727641937829/17533898083292706406*c_1001_5^11 - 834153944056763849733/17533898083292706406*c_1001_5^10 + 2367054331541472267475/17533898083292706406*c_1001_5^9 - 2334111366463550443529/8766949041646353203*c_1001_5^8 + 7400458114866104573471/17533898083292706406*c_1001_5^7 - 293914889656449447818/515702884802726659*c_1001_5^6 + 5298658160790389605580/8766949041646353203*c_1001_5^5 - 4468441515707982533672/8766949041646353203*c_1001_5^4 + 5961738624918123567453/17533898083292706406*c_1001_5^3 - 2674733583422667794499/17533898083292706406*c_1001_5^2 + 367644667771507324637/8766949041646353203*c_1001_5 - 26334187246594782253/8766949041646353203, c_0011_4 + 404530869854674766/8766949041646353203*c_1001_5^13 - 16022740540690654917/17533898083292706406*c_1001_5^12 + 136594508958303553807/17533898083292706406*c_1001_5^11 - 656457749417270546515/17533898083292706406*c_1001_5^10 + 1969084460579835381177/17533898083292706406*c_1001_5^9 - 2056472069324379650730/8766949041646353203*c_1001_5^8 + 6792719591054477613179/17533898083292706406*c_1001_5^7 - 279154500101496801642/515702884802726659*c_1001_5^6 + 5353180996956884638893/8766949041646353203*c_1001_5^5 - 4817069697934020638079/8766949041646353203*c_1001_5^4 + 6934689146591200233893/17533898083292706406*c_1001_5^3 - 3625531867462273291173/17533898083292706406*c_1001_5^2 + 627565823065650020640/8766949041646353203*c_1001_5 - 107883884951637338335/8766949041646353203, c_0011_6 - 2704828774281076135/17533898083292706406*c_1001_5^13 + 51618321882733454693/17533898083292706406*c_1001_5^12 - 419269160109864313543/17533898083292706406*c_1001_5^11 + 1888629518368475000943/17533898083292706406*c_1001_5^10 - 2594720771114809637552/8766949041646353203*c_1001_5^9 + 9860267578582373348245/17533898083292706406*c_1001_5^8 - 7590904292480224447623/8766949041646353203*c_1001_5^7 + 587697781716651156056/515702884802726659*c_1001_5^6 - 10070214261683990179293/8766949041646353203*c_1001_5^5 + 15987072193018415459193/17533898083292706406*c_1001_5^4 - 9878451587028186121467/17533898083292706406*c_1001_5^3 + 1786828425860632289374/8766949041646353203*c_1001_5^2 - 321151967681203550426/8766949041646353203*c_1001_5 - 59548896931884223648/8766949041646353203, c_0101_0 - 1, c_0101_1 - 705640096421236157/8766949041646353203*c_1001_5^13 + 28190188026889117869/17533898083292706406*c_1001_5^12 - 121486514351840461608/8766949041646353203*c_1001_5^11 + 1184374386824688969699/17533898083292706406*c_1001_5^10 - 3617804164744052758809/17533898083292706406*c_1001_5^9 + 3849141651910376651430/8766949041646353203*c_1001_5^8 - 6439918206792494548163/8766949041646353203*c_1001_5^7 + 1068966453243966255881/1031405769605453318*c_1001_5^6 - 20842983632726467116973/17533898083292706406*c_1001_5^5 + 9535592391046587234577/8766949041646353203*c_1001_5^4 - 13931788000865295975921/17533898083292706406*c_1001_5^3 + 3759741405548431900568/8766949041646353203*c_1001_5^2 - 1329192296705851127491/8766949041646353203*c_1001_5 + 482924065839248480919/17533898083292706406, c_0101_12 - 1457792108444673543/8766949041646353203*c_1001_5^13 + 58511062782305468265/17533898083292706406*c_1001_5^12 - 507027732122825052235/17533898083292706406*c_1001_5^11 + 1243304978307882720105/8766949041646353203*c_1001_5^10 - 3822899442882616746973/8766949041646353203*c_1001_5^9 + 16351593822738478234945/17533898083292706406*c_1001_5^8 - 13713687783153648046562/8766949041646353203*c_1001_5^7 + 1141306949947406003866/515702884802726659*c_1001_5^6 - 44717430491947067106489/17533898083292706406*c_1001_5^5 + 20505793058050004758933/8766949041646353203*c_1001_5^4 - 30104059820579665463491/17533898083292706406*c_1001_5^3 + 16388092464245887345289/17533898083292706406*c_1001_5^2 - 5810443430062909807471/17533898083292706406*c_1001_5 + 1102037180750280957929/17533898083292706406, c_0101_2 + 49675151157039879/1031405769605453318*c_1001_5^13 - 1011834423456320119/1031405769605453318*c_1001_5^12 + 4464949589697530912/515702884802726659*c_1001_5^11 - 22400315687989992707/515702884802726659*c_1001_5^10 + 141661338158163378873/1031405769605453318*c_1001_5^9 - 155779848433500200416/515702884802726659*c_1001_5^8 + 266674038817905592601/515702884802726659*c_1001_5^7 - 766194831864261671681/1031405769605453318*c_1001_5^6 + 451812347467301157400/515702884802726659*c_1001_5^5 - 850320152793736318157/1031405769605453318*c_1001_5^4 + 640192304854839203313/1031405769605453318*c_1001_5^3 - 362225636666187306299/1031405769605453318*c_1001_5^2 + 135413841725487738161/1031405769605453318*c_1001_5 - 13693069530482125772/515702884802726659, c_0101_5 + 70797513727628800/8766949041646353203*c_1001_5^13 - 2714889017847367248/8766949041646353203*c_1001_5^12 + 37094276176038795727/8766949041646353203*c_1001_5^11 - 525348871689697188861/17533898083292706406*c_1001_5^10 + 2207273981172400838723/17533898083292706406*c_1001_5^9 - 5896630358158725486811/17533898083292706406*c_1001_5^8 + 11171107156313845266057/17533898083292706406*c_1001_5^7 - 506978078269647205030/515702884802726659*c_1001_5^6 + 22623211174466876942197/17533898083292706406*c_1001_5^5 - 11539879637595604041294/8766949041646353203*c_1001_5^4 + 9368931687927409946456/8766949041646353203*c_1001_5^3 - 5963137757224241047292/8766949041646353203*c_1001_5^2 + 4825597750930240779999/17533898083292706406*c_1001_5 - 1164297227329361835695/17533898083292706406, c_0110_12 - 665837287972150651/17533898083292706406*c_1001_5^13 + 13851526032978067581/17533898083292706406*c_1001_5^12 - 125219759211984625675/17533898083292706406*c_1001_5^11 + 645469310020317376201/17533898083292706406*c_1001_5^10 - 1050989887258366659645/8766949041646353203*c_1001_5^9 + 4736978271117849438441/17533898083292706406*c_1001_5^8 - 4110927442948932752950/8766949041646353203*c_1001_5^7 + 351079401425633420957/515702884802726659*c_1001_5^6 - 7166037743058571409141/8766949041646353203*c_1001_5^5 + 13674565745397421931129/17533898083292706406*c_1001_5^4 - 10428046070902415194473/17533898083292706406*c_1001_5^3 + 3024695252799136838592/8766949041646353203*c_1001_5^2 - 1143936591149499587685/8766949041646353203*c_1001_5 + 242406559934207701825/8766949041646353203, c_1001_10 + 1419059372744938164/8766949041646353203*c_1001_5^13 - 56096537621825375909/17533898083292706406*c_1001_5^12 + 477143016936770537163/17533898083292706406*c_1001_5^11 - 2287181174454410253125/17533898083292706406*c_1001_5^10 + 6841487940581976377063/17533898083292706406*c_1001_5^9 - 7131306455988946793979/8766949041646353203*c_1001_5^8 + 23544875027688768170079/17533898083292706406*c_1001_5^7 - 967553220551748903946/515702884802726659*c_1001_5^6 + 18543062721187548750503/8766949041646353203*c_1001_5^5 - 16691188431529329004027/8766949041646353203*c_1001_5^4 + 24038356144672054715335/17533898083292706406*c_1001_5^3 - 12634506854948319846855/17533898083292706406*c_1001_5^2 + 2185838171115099375397/8766949041646353203*c_1001_5 - 376789870822720675685/8766949041646353203, c_1001_5^14 - 20*c_1001_5^13 + 173*c_1001_5^12 - 850*c_1001_5^11 + 2638*c_1001_5^10 - 5766*c_1001_5^9 + 9965*c_1001_5^8 - 14488*c_1001_5^7 + 17273*c_1001_5^6 - 16812*c_1001_5^5 + 13288*c_1001_5^4 - 8126*c_1001_5^3 + 3678*c_1001_5^2 - 1084*c_1001_5 + 177 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.390 seconds, Total memory usage: 32.09MB