Magma V2.19-8 Wed Aug 21 2013 00:56:54 on localhost [Seed = 139334355] Type ? for help. Type -D to quit. Loading file "L13n3073__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3073 geometric_solution 12.04595343 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 0 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 1 0 -1 1 0 0 -1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599534665052 0.936195158176 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -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 -1 0 8 -7 0 -1 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784442313542 0.836032683975 8 0 9 4 0132 0132 0132 1023 1 1 0 1 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 -1 0 0 1 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680009846723 0.768514920140 10 11 9 0 0132 0132 1023 0132 1 1 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040734960269 0.741274677083 10 5 0 2 3120 1230 0132 1023 1 1 0 1 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 1 -1 0 0 1 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041058652473 0.970803908700 6 1 4 8 3012 0132 3012 1023 1 1 1 0 0 0 1 -1 0 0 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 7 -7 0 0 0 0 7 -7 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642038872475 0.553308279571 12 10 1 5 0132 0132 0132 1230 1 1 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 0 0 0 0 0 7 -7 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008113634679 0.798889660443 12 9 8 1 2103 1023 0213 0132 1 1 1 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084769965311 0.871453394873 2 7 11 5 0132 0213 0132 1023 1 1 1 0 0 0 0 0 0 0 -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 1 0 -8 7 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567297828408 0.448960898521 7 11 3 2 1023 0213 1023 0132 1 1 1 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 8 0 -8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217147598400 1.195602648264 3 6 12 4 0132 0132 0132 3120 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366716763338 1.242922670036 12 3 9 8 1023 0132 0213 0132 1 1 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 -8 8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.444852711275 1.500553411129 6 11 7 10 0132 1023 2103 0132 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 0 0.272986620770 0.561750824143 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : 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_7'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(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_10'], 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0110_5'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_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' : 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_7'], '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_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], '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_3'], '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_0101_5'], '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_1100_9' : negation(d['c_1100_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_5, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1828570440696634207403461/1819007008013750515231012*c_1100_0^12 - 23871422321444845752981629/1819007008013750515231012*c_1100_0^11 + 16765329046414962162816575/909503504006875257615506*c_1100_0^10 + 38865860508419802335313719/1819007008013750515231012*c_1100_0^9 + 34590692845042974915584817/1819007008013750515231012*c_1100_0^8 + 9863674934680237993896579/454751752003437628807753*c_1100_0^7 + 134839391867951594751429599/1819007008013750515231012*c_1100_0^6 + 24447155110384446701279125/259858144001964359318716*c_1100_0^5 + 21884187108911525243109307/454751752003437628807753*c_1100_0^4 - 19196998993342552405306617/1819007008013750515231012*c_1100_0^3 - 25893406143813599372931926/454751752003437628807753*c_1100_0^2 - 63429336369232335810420641/1819007008013750515231012*c_1100_0 - 27215649394987417294416209/1819007008013750515231012, c_0011_0 - 1, c_0011_10 + 25259578597/71771899519*c_1100_0^12 + 395364714651/71771899519*c_1100_0^11 + 461967506861/71771899519*c_1100_0^10 - 801273990965/71771899519*c_1100_0^9 - 2543504105888/71771899519*c_1100_0^8 - 3552851462563/71771899519*c_1100_0^7 - 5668201569996/71771899519*c_1100_0^6 - 10467514593212/71771899519*c_1100_0^5 - 14695353707366/71771899519*c_1100_0^4 - 14282277471471/71771899519*c_1100_0^3 - 9428584510053/71771899519*c_1100_0^2 - 3910508476427/71771899519*c_1100_0 - 808308467805/71771899519, c_0011_4 - 20793162079/71771899519*c_1100_0^12 - 292503720351/71771899519*c_1100_0^11 + 94557606738/71771899519*c_1100_0^10 + 655161382635/71771899519*c_1100_0^9 + 811131513179/71771899519*c_1100_0^8 + 1280336626308/71771899519*c_1100_0^7 + 2662651358655/71771899519*c_1100_0^6 + 4385271120488/71771899519*c_1100_0^5 + 4700382323154/71771899519*c_1100_0^4 + 3881215409300/71771899519*c_1100_0^3 + 2194696713472/71771899519*c_1100_0^2 + 1012773911415/71771899519*c_1100_0 + 303898373486/71771899519, c_0011_7 - 50060589494/71771899519*c_1100_0^12 - 711587385796/71771899519*c_1100_0^11 + 113909339505/71771899519*c_1100_0^10 + 1490815508999/71771899519*c_1100_0^9 + 2519447576640/71771899519*c_1100_0^8 + 3384697742298/71771899519*c_1100_0^7 + 6787259363528/71771899519*c_1100_0^6 + 11570428262379/71771899519*c_1100_0^5 + 13331565459203/71771899519*c_1100_0^4 + 10957074656427/71771899519*c_1100_0^3 + 5947858160711/71771899519*c_1100_0^2 + 2150261337199/71771899519*c_1100_0 + 448581595258/71771899519, c_0101_0 + 64881305339/71771899519*c_1100_0^12 + 925686494713/71771899519*c_1100_0^11 - 109643936364/71771899519*c_1100_0^10 - 2087001446126/71771899519*c_1100_0^9 - 3259408191607/71771899519*c_1100_0^8 - 4276176030072/71771899519*c_1100_0^7 - 8734662686890/71771899519*c_1100_0^6 - 14880557956478/71771899519*c_1100_0^5 - 16816753265155/71771899519*c_1100_0^4 - 13271511344225/71771899519*c_1100_0^3 - 6618654976826/71771899519*c_1100_0^2 - 1987083269764/71771899519*c_1100_0 - 271408771168/71771899519, c_0101_1 - 1, c_0101_2 - 26641652201/71771899519*c_1100_0^12 - 392594130837/71771899519*c_1100_0^11 - 153468438973/71771899519*c_1100_0^10 + 610685326282/71771899519*c_1100_0^9 + 2080260255321/71771899519*c_1100_0^8 + 2765749499236/71771899519*c_1100_0^7 + 4873798941368/71771899519*c_1100_0^6 + 8436820306542/71771899519*c_1100_0^5 + 11628904865923/71771899519*c_1100_0^4 + 11014558801891/71771899519*c_1100_0^3 + 7278286093164/71771899519*c_1100_0^2 + 3050987527582/71771899519*c_1100_0 + 651686737186/71771899519, c_0101_3 - 7210736994/71771899519*c_1100_0^12 - 117305132154/71771899519*c_1100_0^11 - 189324999192/71771899519*c_1100_0^10 + 314185398468/71771899519*c_1100_0^9 + 766772432082/71771899519*c_1100_0^8 + 1095368023351/71771899519*c_1100_0^7 + 1818962960268/71771899519*c_1100_0^6 + 3466360720188/71771899519*c_1100_0^5 + 4715350027142/71771899519*c_1100_0^4 + 4590507594868/71771899519*c_1100_0^3 + 3149162509302/71771899519*c_1100_0^2 + 1289064442716/71771899519*c_1100_0 + 312082089280/71771899519, c_0101_5 - 24132163679/71771899519*c_1100_0^12 - 357326644381/71771899519*c_1100_0^11 - 149323794150/71771899519*c_1100_0^10 + 744376460205/71771899519*c_1100_0^9 + 1737288516871/71771899519*c_1100_0^8 + 2291807126330/71771899519*c_1100_0^7 + 4129953450027/71771899519*c_1100_0^6 + 7371141552731/71771899519*c_1100_0^5 + 9522467664532/71771899519*c_1100_0^4 + 8640562796528/71771899519*c_1100_0^3 + 5266191845936/71771899519*c_1100_0^2 + 2017563323225/71771899519*c_1100_0 + 353686802053/71771899519, c_0101_9 - 51570278622/71771899519*c_1100_0^12 - 754091514939/71771899519*c_1100_0^11 - 176862041021/71771899519*c_1100_0^10 + 1652216160375/71771899519*c_1100_0^9 + 3188104693863/71771899519*c_1100_0^8 + 4400344298148/71771899519*c_1100_0^7 + 8309180471866/71771899519*c_1100_0^6 + 14438169278007/71771899519*c_1100_0^5 + 17874581162073/71771899519*c_1100_0^4 + 15848227251737/71771899519*c_1100_0^3 + 9547367769105/71771899519*c_1100_0^2 + 3690161195864/71771899519*c_1100_0 + 745416305981/71771899519, c_0110_5 + 29643344424/71771899519*c_1100_0^12 + 438963764652/71771899519*c_1100_0^11 + 160596329178/71771899519*c_1100_0^10 - 1221947066808/71771899519*c_1100_0^9 - 1760432511905/71771899519*c_1100_0^8 - 2371161247062/71771899519*c_1100_0^7 - 4500489013972/71771899519*c_1100_0^6 - 8281736395318/71771899519*c_1100_0^5 - 9605739104932/71771899519*c_1100_0^4 - 7734924204330/71771899519*c_1100_0^3 - 4004946907254/71771899519*c_1100_0^2 - 1181242177702/71771899519*c_1100_0 - 198035629026/71771899519, c_1001_2 + 41185997884/71771899519*c_1100_0^12 + 579997081155/71771899519*c_1100_0^11 - 165488202298/71771899519*c_1100_0^10 - 1134253120335/71771899519*c_1100_0^9 - 1917015661005/71771899519*c_1100_0^8 - 2692760695379/71771899519*c_1100_0^7 - 5606705248397/71771899519*c_1100_0^6 - 8979851230192/71771899519*c_1100_0^5 - 10393386211537/71771899519*c_1100_0^4 - 8826245719457/71771899519*c_1100_0^3 - 5051297988520/71771899519*c_1100_0^2 - 1945518432832/71771899519*c_1100_0 - 412499296029/71771899519, c_1100_0^13 + 15*c_1100_0^12 + 9*c_1100_0^11 - 30*c_1100_0^10 - 74*c_1100_0^9 - 111*c_1100_0^8 - 195*c_1100_0^7 - 343*c_1100_0^6 - 459*c_1100_0^5 - 450*c_1100_0^4 - 313*c_1100_0^3 - 150*c_1100_0^2 - 46*c_1100_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB