Magma V2.19-8 Tue Aug 20 2013 23:56:14 on localhost [Seed = 374373949] Type ? for help. Type -D to quit. Loading file "L14n1575__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1575 geometric_solution 11.00260872 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -7 0 7 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 0.395157059625 0.704225257781 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 -1 1 0 1 0 0 -1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 7 0 1 -8 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701862685383 0.817186409142 4 0 5 4 0132 0132 3012 2031 1 1 0 1 0 0 0 0 1 0 -1 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 0 0 0 8 0 -8 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 0.394007397147 1.079963742424 6 7 0 4 0132 0132 0132 2103 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 -1 1 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 0.799094650237 1.308900078516 2 2 1 3 0132 1302 0132 2103 1 1 1 0 0 0 0 0 -1 0 1 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 0 0 0 -8 0 8 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 0.701862685383 0.817186409142 6 2 7 1 3120 1230 3120 0132 1 1 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 0 0 0 0 0 8 -1 -7 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 0.660215888075 0.556559164356 3 8 9 5 0132 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215393375317 0.837805221263 10 3 5 8 0132 0132 3120 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 1 0 -1 0 0 -1 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 0.215393375317 0.837805221263 10 6 7 11 1023 0132 0132 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 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 0.292348469642 0.479036605119 10 11 11 6 3120 2031 0132 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 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 0.239711801638 0.902187731296 7 8 11 9 0132 1023 0213 3120 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 -1 1 0 0 0 0 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 -0.044319991806 1.552123710238 9 10 8 9 1302 0213 0132 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 -1 1 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 1.594762275078 0.472854279825 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(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_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_0101_9'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_5'])})} 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_5, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 23546437293630951173373414865/3266255035762677128125072*c_0101_9^13 - 60827852063671499366288333433/6532510071525354256250144*c_0101_9^\ 12 - 49132188315870368861263260255/1633127517881338564062536*c_0101\ _9^11 + 134768580678043970826205510297/6532510071525354256250144*c_\ 0101_9^10 - 141638823506132426173548094169/163312751788133856406253\ 6*c_0101_9^9 - 356267995566611214834657603877/653251007152535425625\ 0144*c_0101_9^8 + 4358762930259542611111622783/40828187947033464101\ 5634*c_0101_9^7 - 234856987181358950985649223209/326625503576267712\ 8125072*c_0101_9^6 - 215117231509179445974170772763/326625503576267\ 7128125072*c_0101_9^5 - 112553537299291072574326277395/653251007152\ 5354256250144*c_0101_9^4 - 969241644400613709201675105/125625193683\ 179889543272*c_0101_9^3 - 25216244903682044519655633211/65325100715\ 25354256250144*c_0101_9^2 - 866015509535603593325408021/16331275178\ 81338564062536*c_0101_9 + 175600133145364154427095193/6532510071525\ 354256250144, c_0011_0 - 1, c_0011_10 + 51259015034269092160447/3883775310062636299792*c_0101_9^13 + 35393003611413433837255/1941887655031318149896*c_0101_9^12 + 56021157256060263354653/970943827515659074948*c_0101_9^11 - 61659873126164157987219/1941887655031318149896*c_0101_9^10 + 310987002584508590114959/1941887655031318149896*c_0101_9^9 + 26719353606878990375043/242735956878914768737*c_0101_9^8 + 2771308875625340715499/485471913757829537474*c_0101_9^7 + 127830165073776346670711/970943827515659074948*c_0101_9^6 + 528510044003714268562607/3883775310062636299792*c_0101_9^5 + 103553792671919777300647/1941887655031318149896*c_0101_9^4 + 23772743289183181049789/970943827515659074948*c_0101_9^3 + 21611689322525450984385/1941887655031318149896*c_0101_9^2 + 77386955373863773521/18671996682993443749*c_0101_9 + 386126960304816090747/970943827515659074948, c_0011_11 - 18194846924053972910391/1941887655031318149896*c_0101_9^13 - 45854117739905645715477/3883775310062636299792*c_0101_9^12 - 36346436379238881457779/970943827515659074948*c_0101_9^11 + 55564105148462992703669/1941887655031318149896*c_0101_9^10 - 105426892240002400550371/970943827515659074948*c_0101_9^9 - 145459017848975827653915/1941887655031318149896*c_0101_9^8 + 9445798362991371117060/242735956878914768737*c_0101_9^7 - 49748341323252569528033/485471913757829537474*c_0101_9^6 - 146857158379745785037021/1941887655031318149896*c_0101_9^5 - 36255162226758201492217/3883775310062636299792*c_0101_9^4 - 5533710539753879811189/970943827515659074948*c_0101_9^3 - 2260020687441261627825/1941887655031318149896*c_0101_9^2 + 43243596940565630069/74687986731973774996*c_0101_9 + 151284289649826810959/485471913757829537474, c_0011_5 + 26027912384313014268377/970943827515659074948*c_0101_9^13 + 5413960153171370411183/242735956878914768737*c_0101_9^12 + 105382956562691427372055/970943827515659074948*c_0101_9^11 - 229632872673216047173507/1941887655031318149896*c_0101_9^10 + 394051700716878615197743/970943827515659074948*c_0101_9^9 - 5379676749841912423281/970943827515659074948*c_0101_9^8 + 12347301432375076666836/242735956878914768737*c_0101_9^7 + 275779204982647656513335/970943827515659074948*c_0101_9^6 + 110080871850025020719063/970943827515659074948*c_0101_9^5 + 18897726271411319256757/242735956878914768737*c_0101_9^4 + 47681090476469847892361/970943827515659074948*c_0101_9^3 + 21884575659462961189257/1941887655031318149896*c_0101_9^2 + 242245841685616764389/74687986731973774996*c_0101_9 + 954496462635227498625/970943827515659074948, c_0011_9 + 574674943642603400729/1941887655031318149896*c_0101_9^13 + 4566475147106948527307/970943827515659074948*c_0101_9^12 + 655069248193739826485/485471913757829537474*c_0101_9^11 + 50364528624460261872835/3883775310062636299792*c_0101_9^10 - 58284565781424133343603/1941887655031318149896*c_0101_9^9 + 156681563471798457471027/1941887655031318149896*c_0101_9^8 - 47397366093815607769781/970943827515659074948*c_0101_9^7 + 3922991159575700341251/1941887655031318149896*c_0101_9^6 + 84550591108740888042233/1941887655031318149896*c_0101_9^5 - 2717635299965172501792/242735956878914768737*c_0101_9^4 - 8770582151312586052719/970943827515659074948*c_0101_9^3 - 4974120538182577911837/3883775310062636299792*c_0101_9^2 - 184611772858621661991/149375973463947549992*c_0101_9 - 892749038886708119157/1941887655031318149896, c_0101_0 - 24922914210519215/660324528167537*c_0101_9^13 - 72200632170587889/2641298112670148*c_0101_9^12 - 358761365575731759/2641298112670148*c_0101_9^11 + 1016292790779025593/5282596225340296*c_0101_9^10 - 1423143128812229753/2641298112670148*c_0101_9^9 - 1887058674355255/2641298112670148*c_0101_9^8 + 172561647575564521/1320649056335074*c_0101_9^7 - 1083194389880753051/2641298112670148*c_0101_9^6 - 87718807478083589/660324528167537*c_0101_9^5 + 123376761419050559/2641298112670148*c_0101_9^4 - 45354952798995535/2641298112670148*c_0101_9^3 - 35749390582951607/5282596225340296*c_0101_9^2 + 7310849179517737/2641298112670148*c_0101_9 - 11996879938091/2641298112670148, c_0101_1 - 1, c_0101_2 + 51188828728066021351635/970943827515659074948*c_0101_9^13 + 70006796547043201750821/970943827515659074948*c_0101_9^12 + 220985360307280482389743/970943827515659074948*c_0101_9^11 - 127162748759340319318195/970943827515659074948*c_0101_9^10 + 153608227846581089201955/242735956878914768737*c_0101_9^9 + 213920757785555741532231/485471913757829537474*c_0101_9^8 - 4716919579057122414788/242735956878914768737*c_0101_9^7 + 262622752158128714346651/485471913757829537474*c_0101_9^6 + 499628457867972444493861/970943827515659074948*c_0101_9^5 + 186256310435815994638635/970943827515659074948*c_0101_9^4 + 83585933462436787865073/970943827515659074948*c_0101_9^3 + 37730605750944612560537/970943827515659074948*c_0101_9^2 + 181331648912858896967/18671996682993443749*c_0101_9 + 1123038852929098650953/485471913757829537474, c_0101_5 - 51259015034269092160447/3883775310062636299792*c_0101_9^13 - 35393003611413433837255/1941887655031318149896*c_0101_9^12 - 56021157256060263354653/970943827515659074948*c_0101_9^11 + 61659873126164157987219/1941887655031318149896*c_0101_9^10 - 310987002584508590114959/1941887655031318149896*c_0101_9^9 - 26719353606878990375043/242735956878914768737*c_0101_9^8 - 2771308875625340715499/485471913757829537474*c_0101_9^7 - 127830165073776346670711/970943827515659074948*c_0101_9^6 - 528510044003714268562607/3883775310062636299792*c_0101_9^5 - 103553792671919777300647/1941887655031318149896*c_0101_9^4 - 23772743289183181049789/970943827515659074948*c_0101_9^3 - 21611689322525450984385/1941887655031318149896*c_0101_9^2 - 77386955373863773521/18671996682993443749*c_0101_9 - 386126960304816090747/970943827515659074948, c_0101_6 + 26027912384313014268377/970943827515659074948*c_0101_9^13 + 5413960153171370411183/242735956878914768737*c_0101_9^12 + 105382956562691427372055/970943827515659074948*c_0101_9^11 - 229632872673216047173507/1941887655031318149896*c_0101_9^10 + 394051700716878615197743/970943827515659074948*c_0101_9^9 - 5379676749841912423281/970943827515659074948*c_0101_9^8 + 12347301432375076666836/242735956878914768737*c_0101_9^7 + 275779204982647656513335/970943827515659074948*c_0101_9^6 + 110080871850025020719063/970943827515659074948*c_0101_9^5 + 18897726271411319256757/242735956878914768737*c_0101_9^4 + 47681090476469847892361/970943827515659074948*c_0101_9^3 + 21884575659462961189257/1941887655031318149896*c_0101_9^2 + 242245841685616764389/74687986731973774996*c_0101_9 + 954496462635227498625/970943827515659074948, c_0101_9^14 + 390/233*c_0101_9^13 + 1098/233*c_0101_9^12 - 280/233*c_0101_9^11 + 2595/233*c_0101_9^10 + 2810/233*c_0101_9^9 + 454/233*c_0101_9^8 + 2288/233*c_0101_9^7 + 3019/233*c_0101_9^6 + 1474/233*c_0101_9^5 + 574/233*c_0101_9^4 + 264/233*c_0101_9^3 + 81/233*c_0101_9^2 + 14/233*c_0101_9 + 2/233, c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.300 seconds, Total memory usage: 32.09MB