Magma V2.19-8 Wed Aug 21 2013 01:02:47 on localhost [Seed = 1048061401] Type ? for help. Type -D to quit. Loading file "L14n15768__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15768 geometric_solution 12.16575198 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 1 0 0 0 1 -1 1 0 -1 0 -1 0 0 1 1 0 -1 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660735529787 0.831040662511 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 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 1 0 -1 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 0.432628352270 0.326587741626 8 0 10 9 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -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 -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 0.527607804201 1.111497292054 6 8 11 0 0132 0132 0132 0132 1 1 0 1 0 1 0 -1 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 -1 0 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 0.643632476855 0.321582624095 10 11 0 12 0132 3201 0132 0132 1 1 1 1 0 0 1 -1 -1 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660735529787 0.831040662511 9 1 8 12 1023 0132 1023 2031 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943902801100 0.767279774676 3 9 1 10 0132 1023 0132 0132 1 1 1 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 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 0.660735529787 0.831040662511 8 11 9 1 3120 3120 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 0 0 -1 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 -0.013418841605 1.081066485553 2 3 5 7 0132 0132 1023 3120 1 1 1 0 0 -1 0 1 0 0 0 0 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125764660733 0.884302082901 6 5 2 7 1023 1023 0132 0132 1 1 1 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 -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 0.660735529787 0.831040662511 4 12 6 2 0132 2310 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527607804201 1.111497292054 12 7 4 3 0132 3120 2310 0132 1 1 1 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 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 0.593864738258 0.697972063315 11 5 4 10 0132 1302 0132 3201 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440202512632 0.931191893618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_5']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_7']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(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_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_10'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_11, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 11108646741820347894272996893/8251403253707112225527619000*c_1100_1\ ^11 - 28548529282356592799072746126/3094276220140167084572857125*c_\ 1100_1^10 - 389540014254410663543203557377/123771048805606683382914\ 28500*c_1100_1^9 - 178720519958037908615533983289/30942762201401670\ 84572857125*c_1100_1^8 - 42190746696357588867935563987/412570162685\ 355611276380950*c_1100_1^7 - 107130463465158014776423764958/6188552\ 44028033416914571425*c_1100_1^6 - 5822034129708781900321088018879/2\ 4754209761121336676582857000*c_1100_1^5 - 2399234620075298919038486132921/8251403253707112225527619000*c_1100\ _1^4 - 66716711672479911659126788456/206285081342677805638190475*c_\ 1100_1^3 - 42275954137131871324763879033/14734648667334128974156462\ 5*c_1100_1^2 - 4537417795054851377105810811203/24754209761121336676\ 582857000*c_1100_1 - 1491683118730388734020673926931/24754209761121\ 336676582857000, c_0011_0 - 1, c_0011_10 - 30498864009843/376861302570935*c_1100_1^11 - 150868726010636/376861302570935*c_1100_1^10 - 385357962909513/376861302570935*c_1100_1^9 - 357820242126469/376861302570935*c_1100_1^8 - 207255066868065/75372260514187*c_1100_1^7 - 248879282769485/75372260514187*c_1100_1^6 - 1427017943270893/376861302570935*c_1100_1^5 - 1860163213018766/376861302570935*c_1100_1^4 - 303453355456843/75372260514187*c_1100_1^3 - 139933417646874/53837328938705*c_1100_1^2 - 90972883671211/376861302570935*c_1100_1 + 40145903891283/376861302570935, c_0011_11 + 4863631511772/376861302570935*c_1100_1^11 + 38213966347764/376861302570935*c_1100_1^10 + 136862295997027/376861302570935*c_1100_1^9 + 287772392982756/376861302570935*c_1100_1^8 + 100190568391661/75372260514187*c_1100_1^7 + 188870584703980/75372260514187*c_1100_1^6 + 968976627790942/376861302570935*c_1100_1^5 + 1698845002151169/376861302570935*c_1100_1^4 + 309950574200278/75372260514187*c_1100_1^3 + 203598018827916/53837328938705*c_1100_1^2 + 913105312343864/376861302570935*c_1100_1 + 11445323942968/376861302570935, c_0011_7 + 1643953803162/53837328938705*c_1100_1^11 + 3114479909434/53837328938705*c_1100_1^10 + 87565302717/53837328938705*c_1100_1^9 - 26908024837429/53837328938705*c_1100_1^8 + 6737897131545/10767465787741*c_1100_1^7 - 18935749996380/10767465787741*c_1100_1^6 - 24232557546978/53837328938705*c_1100_1^5 - 78649693056526/53837328938705*c_1100_1^4 - 25870483303099/10767465787741*c_1100_1^3 - 75529190704763/53837328938705*c_1100_1^2 - 92415036314111/53837328938705*c_1100_1 + 7942745620438/53837328938705, c_0101_0 - 15490534068033/376861302570935*c_1100_1^11 - 84743566203157/376861302570935*c_1100_1^10 - 248062418963308/376861302570935*c_1100_1^9 - 69813059252108/75372260514187*c_1100_1^8 - 801691695661301/376861302570935*c_1100_1^7 - 1121697128546678/376861302570935*c_1100_1^6 - 1537837708503847/376861302570935*c_1100_1^5 - 1889170569446464/376861302570935*c_1100_1^4 - 1868680152334126/376861302570935*c_1100_1^3 - 214272860724333/53837328938705*c_1100_1^2 - 1111984164798716/376861302570935*c_1100_1 - 246699942404424/376861302570935, c_0101_1 - 1, c_0101_10 + 3864664173366/75372260514187*c_1100_1^11 + 18024099247344/75372260514187*c_1100_1^10 + 42986632700520/75372260514187*c_1100_1^9 + 26611476364087/75372260514187*c_1100_1^8 + 103582944876352/75372260514187*c_1100_1^7 + 99358505578673/75372260514187*c_1100_1^6 + 130394854261289/75372260514187*c_1100_1^5 + 90885260549639/75372260514187*c_1100_1^4 + 104901856551182/75372260514187*c_1100_1^3 - 249127902098/10767465787741*c_1100_1^2 - 81439623083050/75372260514187*c_1100_1 - 71335118987505/75372260514187, c_0101_11 - 660371214894/75372260514187*c_1100_1^11 - 6148987827292/75372260514187*c_1100_1^10 - 20595182134026/75372260514187*c_1100_1^9 - 36634639571633/75372260514187*c_1100_1^8 - 40866002415659/75372260514187*c_1100_1^7 - 124328420337299/75372260514187*c_1100_1^6 - 95175164519222/75372260514187*c_1100_1^5 - 181436704891875/75372260514187*c_1100_1^4 - 180269811043276/75372260514187*c_1100_1^3 - 16595061707675/10767465787741*c_1100_1^2 - 87259025734809/75372260514187*c_1100_1 - 17038035275208/75372260514187, c_0101_5 + 19202229020148/376861302570935*c_1100_1^11 + 100486448797114/376861302570935*c_1100_1^10 + 269033815550608/376861302570935*c_1100_1^9 + 295016117351002/376861302570935*c_1100_1^8 + 736076592354258/376861302570935*c_1100_1^7 + 1040782983470184/376861302570935*c_1100_1^6 + 233054432705232/75372260514187*c_1100_1^5 + 281255721084251/75372260514187*c_1100_1^4 + 1459311448666088/376861302570935*c_1100_1^3 + 119930454862276/53837328938705*c_1100_1^2 + 122117931727601/376861302570935*c_1100_1 + 103925590540663/376861302570935, c_0101_7 - 12559655869071/376861302570935*c_1100_1^11 - 75182574650107/376861302570935*c_1100_1^10 - 236335596173801/376861302570935*c_1100_1^9 - 368456910507713/376861302570935*c_1100_1^8 - 141308125245208/75372260514187*c_1100_1^7 - 201018164540628/75372260514187*c_1100_1^6 - 1456839068430881/376861302570935*c_1100_1^5 - 1557655185041042/376861302570935*c_1100_1^4 - 367383838795016/75372260514187*c_1100_1^3 - 190529301074753/53837328938705*c_1100_1^2 - 757442399565872/376861302570935*c_1100_1 - 124963524693229/376861302570935, c_0101_8 + 7861756230129/376861302570935*c_1100_1^11 + 39952049684399/376861302570935*c_1100_1^10 + 113447094453604/376861302570935*c_1100_1^9 + 137174094715883/376861302570935*c_1100_1^8 + 320739460533446/376861302570935*c_1100_1^7 + 265630590553708/376861302570935*c_1100_1^6 + 495478843961498/376861302570935*c_1100_1^5 + 500959831270896/376861302570935*c_1100_1^4 + 169194111931756/376861302570935*c_1100_1^3 + 17020505263791/53837328938705*c_1100_1^2 - 157043440204727/376861302570935*c_1100_1 - 341998982887987/376861302570935, c_0110_5 + 20209528201047/376861302570935*c_1100_1^11 + 91959789691309/376861302570935*c_1100_1^10 + 240228650902427/376861302570935*c_1100_1^9 + 254213740882891/376861302570935*c_1100_1^8 + 178885605468911/75372260514187*c_1100_1^7 + 164770700010106/75372260514187*c_1100_1^6 + 1446026049348372/376861302570935*c_1100_1^5 + 1703673146226999/376861302570935*c_1100_1^4 + 313892609533959/75372260514187*c_1100_1^3 + 178051224020411/53837328938705*c_1100_1^2 + 663111556014809/376861302570935*c_1100_1 + 238957036388418/376861302570935, c_1100_1^12 + 17/3*c_1100_1^11 + 50/3*c_1100_1^10 + 70/3*c_1100_1^9 + 148/3*c_1100_1^8 + 220/3*c_1100_1^7 + 283/3*c_1100_1^6 + 352/3*c_1100_1^5 + 119*c_1100_1^4 + 96*c_1100_1^3 + 167/3*c_1100_1^2 + 44/3*c_1100_1 + 29/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB