Magma V2.19-8 Wed Aug 21 2013 00:57:15 on localhost [Seed = 1747874480] Type ? for help. Type -D to quit. Loading file "L13n3935__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3935 geometric_solution 11.91846510 oriented_manifold CS_known -0.0000000000000003 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 -1 0 1 -1 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 -5 1 4 -5 0 5 0 1 0 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202597607356 1.262027301743 0 5 6 3 0132 0132 0132 0321 1 1 0 1 0 0 0 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 0 0 0 0 0 1 -1 5 0 -5 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 -0.343391857965 0.957239133120 5 0 8 7 0132 0132 0132 0132 1 1 0 1 0 1 -1 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 5 -5 0 4 0 -4 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084725835187 0.661735459495 8 1 7 0 2031 0321 2031 0132 1 1 0 1 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 5 0 0 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040259764846 0.919473264712 9 6 0 10 0132 3120 0132 0132 1 1 1 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 4 -4 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365491569316 0.423783350040 2 1 11 10 0132 0132 0132 0321 1 1 1 0 0 0 0 0 -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 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354630196397 1.097258890199 10 4 12 1 0321 3120 0132 0132 1 1 1 1 0 0 0 0 -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 1 0 -1 -5 0 0 5 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148209236726 1.188781482912 12 11 2 3 2103 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394871447785 0.823004020274 9 12 3 2 3120 2103 1302 0132 1 1 1 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 0 0 0 0 0 -5 5 -4 0 0 4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.412207094614 1.453995474480 4 11 12 8 0132 2031 3201 3120 0 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 1 0 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941380153478 0.989685145832 6 5 4 11 0321 0321 0132 3012 1 1 1 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 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648311787676 0.818021550999 9 7 10 5 1302 0132 1230 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 0 0 0 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508302153879 0.563619539344 9 8 7 6 2310 2103 2103 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 0 0 0 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563310926824 0.952319861860 ==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_6']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_2']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_4'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_3'], '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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0110_7']), '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0011_12'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_12'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_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_12, c_0011_4, c_0011_6, c_0101_10, c_0101_12, c_0101_3, c_0110_7, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 17444736921749100055784167463231/33417001973340835314532794574848*c\ _1001_2^12 + 5697514316032153131057698314961/5967321780953720591880\ 85617408*c_1001_2^11 - 304978752596440255085928012135/4822078206831\ 2893671764494336*c_1001_2^10 + 7787985164654998773869547291047/6552\ 35332810604614010446952448*c_1001_2^9 + 34019074589485902278016742679525/491426499607953460507835214336*c_1\ 001_2^8 - 342354218653187435226688565609887/23869287123814882367523\ 42469632*c_1001_2^7 - 1715752160940020147899213568199185/1113900065\ 7780278438177598191616*c_1001_2^6 + 3415593921477556032272233618536865/16708500986670417657266397287424\ *c_1001_2^5 + 1588599048751197015848437128758461/167085009866704176\ 57266397287424*c_1001_2^4 - 73474594980132030605058417859189/371300\ 0219260092812725866063872*c_1001_2^3 + 714393469759233615906551469964189/5569500328890139219088799095808*c\ _1001_2^2 + 128565545933254140153414429439193/139237508222253480477\ 2199773952*c_1001_2 + 63959298469831873512566493543539/417712524666\ 7604414316599321856, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1244961154631939387/6033431169398382196*c_1001_2^12 - 22127534576361247141/6033431169398382196*c_1001_2^11 + 3464415301013966961/6033431169398382196*c_1001_2^10 - 11660135343209126023/3016715584699191098*c_1001_2^9 - 171971857480243562039/6033431169398382196*c_1001_2^8 + 61000215973480414088/1508357792349595549*c_1001_2^7 + 541659903049812301793/6033431169398382196*c_1001_2^6 - 233973459066500523839/6033431169398382196*c_1001_2^5 - 277980171753000613975/3016715584699191098*c_1001_2^4 - 112543700548834728705/6033431169398382196*c_1001_2^3 - 176884616534204232141/6033431169398382196*c_1001_2^2 - 105037743372830989251/1508357792349595549*c_1001_2 - 39054908809357281800/1508357792349595549, c_0011_12 - 185019916690501495/6033431169398382196*c_1001_2^12 + 3525487821843549085/6033431169398382196*c_1001_2^11 - 4843865853414478145/6033431169398382196*c_1001_2^10 + 3120128082793250789/3016715584699191098*c_1001_2^9 + 20023870635427024199/6033431169398382196*c_1001_2^8 - 16671808142056442839/1508357792349595549*c_1001_2^7 - 17784121207516895301/6033431169398382196*c_1001_2^6 + 107613469740089394223/6033431169398382196*c_1001_2^5 - 152974902773095293/3016715584699191098*c_1001_2^4 - 47298675086354664363/6033431169398382196*c_1001_2^3 + 33563408811719715869/6033431169398382196*c_1001_2^2 + 4712133625292998267/1508357792349595549*c_1001_2 - 9972147511428066388/1508357792349595549, c_0011_4 + 43835979796854241/6033431169398382196*c_1001_2^12 - 775125072075210653/6033431169398382196*c_1001_2^11 + 21861807392057403/6033431169398382196*c_1001_2^10 - 66949466608263439/1508357792349595549*c_1001_2^9 - 6732737453973106087/6033431169398382196*c_1001_2^8 + 2389373320695275982/1508357792349595549*c_1001_2^7 + 22091607651657824103/6033431169398382196*c_1001_2^6 - 12679621754527728075/6033431169398382196*c_1001_2^5 - 12714764363014297995/3016715584699191098*c_1001_2^4 + 940563946376161269/6033431169398382196*c_1001_2^3 - 1650425854011515857/6033431169398382196*c_1001_2^2 - 4167516870071746322/1508357792349595549*c_1001_2 - 787985811371295565/1508357792349595549, c_0011_6 + 202997977627944271/6033431169398382196*c_1001_2^12 - 3655651429737010809/6033431169398382196*c_1001_2^11 + 1501439211575257265/6033431169398382196*c_1001_2^10 - 2828089082015262073/3016715584699191098*c_1001_2^9 - 24563681259474043103/6033431169398382196*c_1001_2^8 + 10310022466672979847/1508357792349595549*c_1001_2^7 + 73157088255044238253/6033431169398382196*c_1001_2^6 - 33252610736103804895/6033431169398382196*c_1001_2^5 - 38953793870176613771/3016715584699191098*c_1001_2^4 - 23409131628641505061/6033431169398382196*c_1001_2^3 - 28656038594970268429/6033431169398382196*c_1001_2^2 - 14731944986189830060/1508357792349595549*c_1001_2 - 6781397043076375917/1508357792349595549, c_0101_10 + 227967937358047693/3016715584699191098*c_1001_2^12 - 2041974127530365893/1508357792349595549*c_1001_2^11 + 632315647545987039/1508357792349595549*c_1001_2^10 - 5508029521527955219/3016715584699191098*c_1001_2^9 - 28946284972373938857/3016715584699191098*c_1001_2^8 + 45513664800218659965/3016715584699191098*c_1001_2^7 + 89672244361245701523/3016715584699191098*c_1001_2^6 - 19200104371830963403/1508357792349595549*c_1001_2^5 - 96258872526871768207/3016715584699191098*c_1001_2^4 - 23906003039890593765/3016715584699191098*c_1001_2^3 - 14897866897586357295/1508357792349595549*c_1001_2^2 - 72062502967536969697/3016715584699191098*c_1001_2 - 15744993579844562860/1508357792349595549, c_0101_12 + 76259005989475199/6033431169398382196*c_1001_2^12 - 1604629916780224619/6033431169398382196*c_1001_2^11 + 4779414410892726123/6033431169398382196*c_1001_2^10 - 1159920161114313261/1508357792349595549*c_1001_2^9 - 4104677209253242579/6033431169398382196*c_1001_2^8 + 22602987681301718135/3016715584699191098*c_1001_2^7 - 31560917607010590931/6033431169398382196*c_1001_2^6 - 89236499462638740221/6033431169398382196*c_1001_2^5 + 13107231465883312614/1508357792349595549*c_1001_2^4 + 66799930638477858743/6033431169398382196*c_1001_2^3 - 25246860946798350063/6033431169398382196*c_1001_2^2 + 6842085714494072521/3016715584699191098*c_1001_2 + 13942329778009163874/1508357792349595549, c_0101_3 - 32031157042158303/1508357792349595549*c_1001_2^12 + 572385013673183438/1508357792349595549*c_1001_2^11 - 152655942404943414/1508357792349595549*c_1001_2^10 + 779469169023764161/1508357792349595549*c_1001_2^9 + 4105897387014858942/1508357792349595549*c_1001_2^8 - 6352716176768027128/1508357792349595549*c_1001_2^7 - 12680574936200446664/1508357792349595549*c_1001_2^6 + 4266034958477420316/1508357792349595549*c_1001_2^5 + 12454795954214663428/1508357792349595549*c_1001_2^4 + 5576784006060535800/1508357792349595549*c_1001_2^3 + 5393768664940897152/1508357792349595549*c_1001_2^2 + 8955257538599498833/1508357792349595549*c_1001_2 + 4421533163905952719/1508357792349595549, c_0110_7 - 8826570136009197/3016715584699191098*c_1001_2^12 + 72705819281986938/1508357792349595549*c_1001_2^11 + 87395005769429146/1508357792349595549*c_1001_2^10 + 229997985040081395/3016715584699191098*c_1001_2^9 + 1098443917743418507/3016715584699191098*c_1001_2^8 + 484723723080088195/3016715584699191098*c_1001_2^7 - 6583692227245026171/3016715584699191098*c_1001_2^6 - 2263103903693793001/1508357792349595549*c_1001_2^5 + 8695428647841461265/3016715584699191098*c_1001_2^4 + 8197810658147907507/3016715584699191098*c_1001_2^3 + 1066439517277937948/1508357792349595549*c_1001_2^2 + 2289780476929354429/3016715584699191098*c_1001_2 + 2086828861389508358/1508357792349595549, c_1001_0 + 109087860781944862/1508357792349595549*c_1001_2^12 - 1976950882867421766/1508357792349595549*c_1001_2^11 + 1007540079561355879/1508357792349595549*c_1001_2^10 - 2670206845807879878/1508357792349595549*c_1001_2^9 - 13691563592902526032/1508357792349595549*c_1001_2^8 + 25510213713465635513/1508357792349595549*c_1001_2^7 + 37677829762989132484/1508357792349595549*c_1001_2^6 - 28812117322782012780/1508357792349595549*c_1001_2^5 - 37219168497221130408/1508357792349595549*c_1001_2^4 - 3173342826321552233/1508357792349595549*c_1001_2^3 - 17470208701993368499/1508357792349595549*c_1001_2^2 - 30218451891598281811/1508357792349595549*c_1001_2 - 6099231295674407097/1508357792349595549, c_1001_11 - 28101102511377889/3016715584699191098*c_1001_2^12 + 514359297229846237/3016715584699191098*c_1001_2^11 - 375111409853472929/3016715584699191098*c_1001_2^10 + 599162691252953744/1508357792349595549*c_1001_2^9 + 2365407152764733661/3016715584699191098*c_1001_2^8 - 2619551324323263452/1508357792349595549*c_1001_2^7 - 8505020529253212459/3016715584699191098*c_1001_2^6 + 1965284735640481767/3016715584699191098*c_1001_2^5 + 5828643535611931221/1508357792349595549*c_1001_2^4 + 4163848597726559163/3016715584699191098*c_1001_2^3 + 2365163565828894167/3016715584699191098*c_1001_2^2 + 2484392377882071903/1508357792349595549*c_1001_2 + 2028793128483374207/1508357792349595549, c_1001_2^13 - 17*c_1001_2^12 - 11*c_1001_2^11 - 16*c_1001_2^10 - 153*c_1001_2^9 + 90*c_1001_2^8 + 591*c_1001_2^7 + 141*c_1001_2^6 - 600*c_1001_2^5 - 423*c_1001_2^4 - 205*c_1001_2^3 - 454*c_1001_2^2 - 384*c_1001_2 - 88 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.450 seconds, Total memory usage: 32.09MB