Magma V2.19-8 Wed Aug 21 2013 00:52:19 on localhost [Seed = 3785880647] Type ? for help. Type -D to quit. Loading file "L12a1396__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1396 geometric_solution 12.00745039 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 0 0 0 1 0 0 0 0 1 0 0 -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 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698911723152 1.348594482612 0 3 6 5 0132 3120 0132 0132 1 0 1 0 0 0 0 0 -1 0 0 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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829399431324 0.932160473960 3 0 4 7 2031 0132 1302 0132 0 0 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 0 0 0 0 1 -1 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 0.697071616920 0.584519521586 7 1 2 0 1023 3120 1302 0132 0 0 1 1 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 -0.506828917688 0.837860906114 2 4 0 4 2031 2310 0132 3201 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 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 0.364191428589 0.556765370841 8 7 1 9 0132 3012 0132 0132 1 0 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 0 -1 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 0.552671177628 0.597675991012 7 9 8 1 3012 0132 0132 0132 1 0 0 1 0 0 0 0 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 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 0.552671177628 0.597675991012 5 3 2 6 1230 1023 0132 1230 0 0 1 1 0 0 1 -1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189972500914 1.038008594379 5 10 11 6 0132 0132 0132 0132 1 0 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 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 0.967148405514 1.123724171715 11 6 5 12 0132 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 1 -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 0.967148405514 1.123724171715 11 8 12 12 1023 0132 0213 2310 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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296499967995 0.994228524445 9 10 12 8 0132 1023 0132 0132 1 0 0 1 0 0 0 0 -1 0 0 1 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 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 0.373551043087 0.376444052321 10 10 9 11 3201 0213 0132 0132 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 1 -1 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296499967995 0.994228524445 ==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_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_11']), '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_0101_11'], 'c_0101_10' : d['c_0011_12'], '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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : 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' : d['c_1100_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' : 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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], '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_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_4']), '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'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_0'], '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_7'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_1100_1']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_4, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 27628270513235509702618142807/4677150694439016436776514425*c_1100_1\ ^21 + 88021210239363329325455689216/4677150694439016436776514425*c_\ 1100_1^20 + 2251863177923320321245076732/42519551767627422152513767\ 5*c_1100_1^19 - 357401808246059718002701914542/46771506944390164367\ 76514425*c_1100_1^18 + 72347185852136033879756119631/93543013888780\ 3287355302885*c_1100_1^17 + 512518063331785553966962271302/46771506\ 94439016436776514425*c_1100_1^16 + 24269792898376891881846004981/4677150694439016436776514425*c_1100_1\ ^15 - 869891408480955815910632067157/935430138887803287355302885*c_\ 1100_1^14 + 7450974147450131285983218662/57742601165913783170080425\ *c_1100_1^13 + 3047971667936479655493537078368/93543013888780328735\ 5302885*c_1100_1^12 - 277857258078602904770866513301/85039103535254\ 844305027535*c_1100_1^11 - 6128601914217537083776534721327/46771506\ 94439016436776514425*c_1100_1^10 + 22446157401345784042020293721502/4677150694439016436776514425*c_110\ 0_1^9 - 18550146731511297769171724614549/46771506944390164367765144\ 25*c_1100_1^8 + 77443573162734244771087853536/467715069443901643677\ 6514425*c_1100_1^7 + 12059514877767768080506555062544/4677150694439\ 016436776514425*c_1100_1^6 - 1787141978521816489343739690536/935430\ 138887803287355302885*c_1100_1^5 + 144876552902787981142453068713/519683410493224048530723825*c_1100_1\ ^4 + 708904004926173668174227858796/1559050231479672145592171475*c_\ 1100_1^3 - 192264864735311344687455414401/5196834104932240485307238\ 25*c_1100_1^2 + 23527565028689222302774885684/187086027777560657471\ 060577*c_1100_1 - 92287743361768490390841791239/4677150694439016436\ 776514425, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_12 + 61322088067965186071156/69991031716259131115249*c_1100_1^21 - 67147027037035460367773/69991031716259131115249*c_1100_1^20 - 313536212867189208739083/69991031716259131115249*c_1100_1^19 + 336915878034036765889551/69991031716259131115249*c_1100_1^18 + 403564561688012032578500/69991031716259131115249*c_1100_1^17 - 1264141027305128149637403/69991031716259131115249*c_1100_1^16 - 2968292680555751445643621/69991031716259131115249*c_1100_1^15 + 6159895445370171702319336/69991031716259131115249*c_1100_1^14 + 15697694857540392417553724/69991031716259131115249*c_1100_1^13 - 15663516517987432851218601/69991031716259131115249*c_1100_1^12 - 21000615692626370214518801/69991031716259131115249*c_1100_1^11 + 14792456503368915173033166/69991031716259131115249*c_1100_1^10 - 1995248407088263288004993/69991031716259131115249*c_1100_1^9 - 6805737806313978658206569/69991031716259131115249*c_1100_1^8 + 12800779295993276040929895/69991031716259131115249*c_1100_1^7 + 1596593572130116048927639/69991031716259131115249*c_1100_1^6 - 5562515021795675519701438/69991031716259131115249*c_1100_1^5 - 109000474280288949372845/69991031716259131115249*c_1100_1^4 + 188584520410996454211123/69991031716259131115249*c_1100_1^3 - 467941538469761561222894/69991031716259131115249*c_1100_1^2 + 66384641953769596529417/69991031716259131115249*c_1100_1 + 201420048829354147000844/69991031716259131115249, c_0011_3 - 99966653694825171352814/69991031716259131115249*c_1100_1^21 + 125487971316576183527430/69991031716259131115249*c_1100_1^20 + 501895277936725154454734/69991031716259131115249*c_1100_1^19 - 634876860075761023929967/69991031716259131115249*c_1100_1^18 - 615552671640218152751626/69991031716259131115249*c_1100_1^17 + 2184134969917390175627499/69991031716259131115249*c_1100_1^16 + 4576783279788937096724764/69991031716259131115249*c_1100_1^15 - 10953026163635357113357959/69991031716259131115249*c_1100_1^14 - 24466693450806256119206342/69991031716259131115249*c_1100_1^13 + 30173816312006378326866552/69991031716259131115249*c_1100_1^12 + 32633642811173799984112282/69991031716259131115249*c_1100_1^11 - 30220028519220565431623355/69991031716259131115249*c_1100_1^10 + 3814862217457725164009776/69991031716259131115249*c_1100_1^9 + 10808727187825276921536182/69991031716259131115249*c_1100_1^8 - 22952734611041335364733940/69991031716259131115249*c_1100_1^7 - 696501377037203685063546/69991031716259131115249*c_1100_1^6 + 10731563652320534855892024/69991031716259131115249*c_1100_1^5 - 290642372596062062848876/69991031716259131115249*c_1100_1^4 - 632676912711170061073958/69991031716259131115249*c_1100_1^3 + 603904818185927960641704/69991031716259131115249*c_1100_1^2 - 347418389998350953199809/69991031716259131115249*c_1100_1 - 418641872384190708976514/69991031716259131115249, c_0011_4 - 212855527228101516080759/209973095148777393345747*c_1100_1^2\ 1 + 81838243545484843453097/69991031716259131115249*c_1100_1^20 + 1081278793712035673122211/209973095148777393345747*c_1100_1^19 - 1211486280026103398314663/209973095148777393345747*c_1100_1^18 - 1416955930885821451027246/209973095148777393345747*c_1100_1^17 + 4411542786307890658364261/209973095148777393345747*c_1100_1^16 + 10291457191373630585256596/209973095148777393345747*c_1100_1^15 - 22150879510074957785761936/209973095148777393345747*c_1100_1^14 - 54044012314742536163149406/209973095148777393345747*c_1100_1^13 + 19076486534662295911711367/69991031716259131115249*c_1100_1^12 + 74637280074230616291815395/209973095148777393345747*c_1100_1^11 - 17656002133875466290926120/69991031716259131115249*c_1100_1^10 - 903385161482268435933092/209973095148777393345747*c_1100_1^9 + 25111263624558663461278399/209973095148777393345747*c_1100_1^8 - 14280820802244911563136712/69991031716259131115249*c_1100_1^7 - 11150782919388606084837116/209973095148777393345747*c_1100_1^6 + 24383920155930472905989920/209973095148777393345747*c_1100_1^5 + 975912731196889533691478/209973095148777393345747*c_1100_1^4 - 1879121921455731228118379/209973095148777393345747*c_1100_1^3 + 1411176180449518998714491/209973095148777393345747*c_1100_1^2 - 167602938841468346050456/209973095148777393345747*c_1100_1 - 391274500614119932403110/69991031716259131115249, c_0101_0 + 19010761282432962996290/69991031716259131115249*c_1100_1^21 - 37884271849444501852444/69991031716259131115249*c_1100_1^20 - 82316160173635998026630/69991031716259131115249*c_1100_1^19 + 190583803674011011212315/69991031716259131115249*c_1100_1^18 + 53698549511363626580064/69991031716259131115249*c_1100_1^17 - 496064793121861997285458/69991031716259131115249*c_1100_1^16 - 607197397219018184180532/69991031716259131115249*c_1100_1^15 + 2770727100811529312230754/69991031716259131115249*c_1100_1^14 + 3422716154777583393147462/69991031716259131115249*c_1100_1^13 - 9303731577098286847520475/69991031716259131115249*c_1100_1^12 - 3493541326469121422154350/69991031716259131115249*c_1100_1^11 + 9827010761313766772071064/69991031716259131115249*c_1100_1^10 - 2908220298855500070820571/69991031716259131115249*c_1100_1^9 - 304141305296467865301481/69991031716259131115249*c_1100_1^8 + 5863771884253085255882750/69991031716259131115249*c_1100_1^7 - 2558376497960847892888437/69991031716259131115249*c_1100_1^6 - 2490611092634349103434477/69991031716259131115249*c_1100_1^5 + 581843086307618449630124/69991031716259131115249*c_1100_1^4 - 38493626990629555115411/69991031716259131115249*c_1100_1^3 - 50065558973256648147119/69991031716259131115249*c_1100_1^2 + 255965896624085039278152/69991031716259131115249*c_1100_1 + 127581712584219184039889/69991031716259131115249, c_0101_1 - 1, c_0101_11 + 51675313123738903506066/69991031716259131115249*c_1100_1^21 - 61925975496930533102948/69991031716259131115249*c_1100_1^20 - 257310616743794128895960/69991031716259131115249*c_1100_1^19 + 308208560501760489643479/69991031716259131115249*c_1100_1^18 + 308455811650762375394380/69991031716259131115249*c_1100_1^17 - 1087706882481084247318136/69991031716259131115249*c_1100_1^16 - 2396955961302110622529269/69991031716259131115249*c_1100_1^15 + 5426456883326435024888994/69991031716259131115249*c_1100_1^14 + 12672912332264783963573074/69991031716259131115249*c_1100_1^13 - 14392654692573798486549247/69991031716259131115249*c_1100_1^12 - 16271099218635539574895216/69991031716259131115249*c_1100_1^11 + 13697347336415341394646990/69991031716259131115249*c_1100_1^10 - 2782528494085921111240931/69991031716259131115249*c_1100_1^9 - 5157237799584857820309723/69991031716259131115249*c_1100_1^8 + 11142173476506221395177598/69991031716259131115249*c_1100_1^7 + 502742852855910444505617/69991031716259131115249*c_1100_1^6 - 4896125750660263507775295/69991031716259131115249*c_1100_1^5 + 235800649594871937512112/69991031716259131115249*c_1100_1^4 + 152098548404429183041497/69991031716259131115249*c_1100_1^3 - 386041562695585006956375/69991031716259131115249*c_1100_1^2 + 136216501606346551628799/69991031716259131115249*c_1100_1 + 189539421712056812253683/69991031716259131115249, c_0101_7 + 19010761282432962996290/69991031716259131115249*c_1100_1^21 - 37884271849444501852444/69991031716259131115249*c_1100_1^20 - 82316160173635998026630/69991031716259131115249*c_1100_1^19 + 190583803674011011212315/69991031716259131115249*c_1100_1^18 + 53698549511363626580064/69991031716259131115249*c_1100_1^17 - 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