Magma V2.19-8 Wed Aug 21 2013 00:57:41 on localhost [Seed = 307497127] Type ? for help. Type -D to quit. Loading file "L13n4405__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4405 geometric_solution 12.37403962 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 0 1 0 1 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 0 -1 1 1 0 -1 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 0.350561162438 0.821974718026 0 4 5 4 0132 0132 0132 1302 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 -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 0.311138424834 0.688835328396 0 0 6 6 2310 0132 2310 0132 0 1 1 0 0 -1 0 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 1 0 0 -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 1.560994929340 1.029352671752 7 8 0 4 0132 0132 0132 2310 0 1 1 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 1 -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 0.366422556653 0.581698182314 3 1 1 6 3201 0132 2031 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455386389858 1.205730520720 8 6 7 1 3120 1302 3120 0132 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 0 0 0 0 0 1 -1 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 0.224729389196 1.230747116731 4 2 2 5 3120 3201 0132 2031 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 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 0.350561162438 0.821974718026 3 9 5 10 0132 0132 3120 0132 0 1 0 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684091729415 0.836564103074 10 3 9 5 0132 0132 0132 3120 0 1 0 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 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 0.684091729415 0.836564103074 11 7 12 8 0132 0132 0132 0132 0 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 1 -1 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262793332186 0.834906630114 8 11 7 12 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.262793332186 0.834906630114 9 10 12 12 0132 0132 2103 0321 0 1 0 1 0 0 0 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 0 1 -1 -1 0 0 1 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916167692449 1.343034244933 11 11 10 9 2103 0321 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -1 0 0 1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.916167692449 1.343034244933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : 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_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_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' : negation(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_1100_9' : negation(d['c_0101_5']), 'c_1100_8' : negation(d['c_0101_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['c_0101_5']), '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' : d['c_0011_10'], 'c_0011_8' : negation(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' : d['c_0011_6'], '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' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_11'], '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_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_4']})} 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0110_4, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 234069334059582814393728998209092197/743653193454637230173621284489\ 536*c_1001_10^18 + 817494678203069624116730870460030049/18591329836\ 3659307543405321122384*c_1001_10^17 - 5363926650948797022015796455818793221/18591329836365930754340532112\ 2384*c_1001_10^16 + 43582885609966945555950384807450270731/37182659\ 6727318615086810642244768*c_1001_10^15 - 14988137440913591725609586605618028189/9295664918182965377170266056\ 1192*c_1001_10^14 - 15002333090743558342344087034151648479/46478324\ 590914826885851330280596*c_1001_10^13 + 42318905202033318249330511301341866311/7436531934546372301736212844\ 89536*c_1001_10^12 + 13487578621898231457624588892608497291/6197109\ 9454553102514468440374128*c_1001_10^11 + 4884262188808597479816202500467869/126989957898674390398500902406*c\ _1001_10^10 - 3840627001657330926238055560307957125/464783245909148\ 26885851330280596*c_1001_10^9 - 12078723122244198493880816747320354\ 747/185913298363659307543405321122384*c_1001_10^8 + 290804543750032596710673144489828387/590200947186220023947318479753\ 6*c_1001_10^7 + 6090295305025549673078024057105402813/8262813260607\ 0803352624587165504*c_1001_10^6 - 193604462174280475002271264397171\ 9951/23239162295457413442925665140298*c_1001_10^5 + 234960281341000258942017034764801503/826281326060708033526245871655\ 04*c_1001_10^4 + 18896647420159222020818946868641149/47426861827464\ 1090671952349802*c_1001_10^3 - 122427193496025535687937168872444098\ 25/371826596727318615086810642244768*c_1001_10^2 + 4384567043760577372777972387230242329/37182659672731861508681064224\ 4768*c_1001_10 - 1197021995667927710651473170890124247/743653193454\ 637230173621284489536, c_0011_0 - 1, c_0011_10 - 3374741439903289696309653669/52696513141626787852439149978*\ c_1001_10^18 + 22915434746082123954208664619/2634825657081339392621\ 9574989*c_1001_10^17 - 146344859883594494329503948239/2634825657081\ 3393926219574989*c_1001_10^16 + 1158286215539762376368006045443/526\ 96513141626787852439149978*c_1001_10^15 - 685677056232474438873781742783/26348256570813393926219574989*c_1001\ _10^14 - 3650361508143366094725602202627/52696513141626787852439149\ 978*c_1001_10^13 - 1029206297240288671789835030755/5269651314162678\ 7852439149978*c_1001_10^12 + 146686852593830758758068352435/2634825\ 6570813393926219574989*c_1001_10^11 - 12796028373681585929936006703/863877264616832587744904098*c_1001_10\ ^10 - 738218918110534331900116608533/52696513141626787852439149978*\ c_1001_10^9 - 188181598378546227240315505735/5269651314162678785243\ 9149978*c_1001_10^8 + 505586651647328942861248339241/52696513141626\ 787852439149978*c_1001_10^7 + 450719785360841547755676528271/526965\ 13141626787852439149978*c_1001_10^6 - 909009881614116760320946053083/52696513141626787852439149978*c_1001\ _10^5 - 13533252602357909450526478164/26348256570813393926219574989\ *c_1001_10^4 + 222714507467617179936451168094/263482565708133939262\ 19574989*c_1001_10^3 - 287534708721452785705339565099/5269651314162\ 6787852439149978*c_1001_10^2 + 34393222749501338547449757310/263482\ 56570813393926219574989*c_1001_10 + 1776032493683084229845533237/26348256570813393926219574989, c_0011_12 - 2565175086391504662127478290/26348256570813393926219574989*\ c_1001_10^18 + 35311064114539795216746787936/2634825657081339392621\ 9574989*c_1001_10^17 - 226968677786320715668956534389/2634825657081\ 3393926219574989*c_1001_10^16 + 896172534839366963883207308114/2634\ 8256570813393926219574989*c_1001_10^15 - 1051112660973190459196806273208/26348256570813393926219574989*c_100\ 1_10^14 - 3154685284622889657833565225082/2634825657081339392621957\ 4989*c_1001_10^13 + 143143467219058191058263249744/2634825657081339\ 3926219574989*c_1001_10^12 + 2905261719843881509076744962218/263482\ 56570813393926219574989*c_1001_10^11 + 23130907217846928984156542325/431938632308416293872452049*c_1001_10\ ^10 - 783088712360178942277913117791/26348256570813393926219574989*\ c_1001_10^9 - 1033653853534000094072806042629/263482565708133939262\ 19574989*c_1001_10^8 + 322816209551256989204487501765/2634825657081\ 3393926219574989*c_1001_10^7 + 998377170664934572256519452897/26348\ 256570813393926219574989*c_1001_10^6 - 480445072556594577551134734790/26348256570813393926219574989*c_1001\ _10^5 - 362315967945693079939929450983/2634825657081339392621957498\ 9*c_1001_10^4 + 357139743626148792312162622724/26348256570813393926\ 219574989*c_1001_10^3 - 143472294076133675706037997149/263482565708\ 13393926219574989*c_1001_10^2 - 3293205839860441163227688912/263482\ 56570813393926219574989*c_1001_10 + 16036628893025033526448595835/26348256570813393926219574989, c_0011_5 + 5857440993116124653171130366/26348256570813393926219574989*c\ _1001_10^18 - 78232771231724266041139323704/26348256570813393926219\ 574989*c_1001_10^17 + 488461128042243497486691699344/26348256570813\ 393926219574989*c_1001_10^16 - 1875562235427908470724723729358/2634\ 8256570813393926219574989*c_1001_10^15 + 1811427489168556220323785643405/26348256570813393926219574989*c_100\ 1_10^14 + 7269630113857017440943722525398/2634825657081339392621957\ 4989*c_1001_10^13 + 3210217533010705051739022589169/263482565708133\ 93926219574989*c_1001_10^12 - 2519036585400001027423962531682/26348\ 256570813393926219574989*c_1001_10^11 - 37855157525111318642952464384/431938632308416293872452049*c_1001_10\ ^10 + 350861856226775001319963200674/26348256570813393926219574989*\ c_1001_10^9 + 1554952888416625878047191104577/263482565708133939262\ 19574989*c_1001_10^8 + 25451677333062269011871858868/26348256570813\ 393926219574989*c_1001_10^7 - 1373490868207163691974179626565/26348\ 256570813393926219574989*c_1001_10^6 + 765447605393405690304711638636/26348256570813393926219574989*c_1001\ _10^5 + 450304879980873297766411137464/2634825657081339392621957498\ 9*c_1001_10^4 - 573467068427771280423073170378/26348256570813393926\ 219574989*c_1001_10^3 + 251243484823960510730306988502/263482565708\ 13393926219574989*c_1001_10^2 - 4887713417392897310006222946/263482\ 56570813393926219574989*c_1001_10 - 6188942632601818552487353148/26348256570813393926219574989, c_0011_6 + 1, c_0101_0 - 1, c_0101_1 + 4154904513312468165771276092/26348256570813393926219574989*c\ _1001_10^18 - 56427352628113312559159060616/26348256570813393926219\ 574989*c_1001_10^17 + 716104492567410175431299519557/52696513141626\ 787852439149978*c_1001_10^16 - 1396729588929501442244710004610/2634\ 8256570813393926219574989*c_1001_10^15 + 3030406229262897422165887148287/52696513141626787852439149978*c_100\ 1_10^14 + 5117863817476296556990467180565/2634825657081339392621957\ 4989*c_1001_10^13 + 981995270041599148105315644637/2634825657081339\ 3926219574989*c_1001_10^12 - 6990961549473606112752103661881/526965\ 13141626787852439149978*c_1001_10^11 - 78980635270232427466930110711/863877264616832587744904098*c_1001_10\ ^10 + 401421080924143072908298542309/52696513141626787852439149978*\ c_1001_10^9 + 2139688359595923313350021154927/526965131416267878524\ 39149978*c_1001_10^8 - 193023866866977732217031619777/2634825657081\ 3393926219574989*c_1001_10^7 - 2277779921053588070779020185427/5269\ 6513141626787852439149978*c_1001_10^6 + 1279536047250896192872602592581/52696513141626787852439149978*c_100\ 1_10^5 + 382263453441761459854162602923/263482565708133939262195749\ 89*c_1001_10^4 - 998096620901742910515732367645/5269651314162678785\ 2439149978*c_1001_10^3 + 220231265799961865692075236463/26348256570\ 813393926219574989*c_1001_10^2 - 10582658907102433919424864739/5269\ 6513141626787852439149978*c_1001_10 - 28380090012544595107415339922/26348256570813393926219574989, c_0101_11 - 2618989394965634629288699531/26348256570813393926219574989*\ c_1001_10^18 + 68440677310214310757857929917/5269651314162678785243\ 9149978*c_1001_10^17 - 207990390575370856372261645275/2634825657081\ 3393926219574989*c_1001_10^16 + 1542641482336541471088841432347/526\ 96513141626787852439149978*c_1001_10^15 - 539432358690573863539675592004/26348256570813393926219574989*c_1001\ _10^14 - 3602604287258898000932902435015/26348256570813393926219574\ 989*c_1001_10^13 - 4344591543727634436786630938981/5269651314162678\ 7852439149978*c_1001_10^12 + 1799815580001807020906808837033/526965\ 13141626787852439149978*c_1001_10^11 + 37429701301420889718722536521/863877264616832587744904098*c_1001_10\ ^10 - 342804714225678747564689971657/52696513141626787852439149978*\ c_1001_10^9 - 658162615062064208249713609095/2634825657081339392621\ 9574989*c_1001_10^8 + 139561080796577502440054341517/52696513141626\ 787852439149978*c_1001_10^7 + 1512556589868670411371053142345/52696\ 513141626787852439149978*c_1001_10^6 - 161559820320804793993961114501/26348256570813393926219574989*c_1001\ _10^5 - 554527308735528678636292640641/5269651314162678785243914997\ 8*c_1001_10^4 + 298792309209020289347441913549/26348256570813393926\ 219574989*c_1001_10^3 - 213944577831791764248827619117/526965131416\ 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