Magma V2.19-8 Tue Aug 20 2013 17:56:16 on localhost [Seed = 425241896] Type ? for help. Type -D to quit. Loading file "11_241__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_241 geometric_solution 9.73049546 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 -5 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 0.761667659733 0.778151269349 0 5 2 6 0132 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.313066375354 0.467527361343 1 0 8 7 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391754746302 0.882098488690 6 8 4 0 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -5 5 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596587330009 0.338321569539 9 3 0 9 0132 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -4 4 0 5 0 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688140172043 0.614175816073 10 1 7 8 0132 0132 0213 2310 0 0 0 0 0 0 -1 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 -5 5 1 0 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.997638737851 1.225593313638 3 8 1 10 0132 0213 0132 3201 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927169374586 1.391123720998 9 5 2 10 3201 0213 0132 3012 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 5 -1 -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 0 0 0 0.621925691166 2.070281395740 5 3 6 2 3201 0132 0213 0132 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 0 0 0 0 0 0 0 4 0 -4 0 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426815449635 0.531994008605 4 4 10 7 0132 0321 1230 2310 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 1 -1 0 0 0 0 0 -5 5 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191135916690 0.721923786232 5 6 7 9 0132 2310 1230 3012 0 0 0 0 0 1 0 -1 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 4 0 -4 -1 0 0 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512273898456 0.570954001241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_7']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], '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_10' : 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_1100_9' : d['c_0011_7'], 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_7'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_7']), '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' : negation(d['c_0110_7']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : 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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_3']), '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_3']), '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_10' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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_0011_4'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0110_7, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 23484184191184170558311499305367/1182522470628245350899562912000*c_\ 1001_2^15 + 1444635714252841709710798848747/25160052566558411721267\ 296000*c_1001_2^14 + 69372551028494442382811802420699/2956306176570\ 61337724890728000*c_1001_2^13 + 48616631324743582831043980250059/17\ 7378370594236802634934436800*c_1001_2^12 + 4146098264049286563427070104679933/3547567411884736052698688736000*\ c_1001_2^11 + 77003544227182154624947954044277/22172296324279600329\ 3668046000*c_1001_2^10 + 9888557989760767182081738062108929/3547567\ 411884736052698688736000*c_1001_2^9 - 715692726898188583048340747588837/1773783705942368026349344368000*c\ _1001_2^8 + 1249920256603789947716319829210693/35475674118847360526\ 9868873600*c_1001_2^7 - 387949029371582365771677144181209/295630617\ 657061337724890728000*c_1001_2^6 + 34551477674957803931411351074569/13750261286374945940692592000*c_10\ 01_2^5 - 1852396992012568458643663550141459/17737837059423680263493\ 44368000*c_1001_2^4 + 1462711224187371908348852737313/1503206530459\ 633920635037600*c_1001_2^3 - 11453809878574699419840448700653/41250\ 783859124837822077776000*c_1001_2^2 + 267741990118247319939096506608489/1773783705942368026349344368000*c\ _1001_2 + 27356212815201262594611293847079/354756741188473605269868\ 8736000, c_0011_0 - 1, c_0011_3 - 33861690289889241/96152294975296447*c_1001_2^15 - 97784524846780970/96152294975296447*c_1001_2^14 - 1250450121001168672/288456884925889341*c_1001_2^13 - 502403774353796519/96152294975296447*c_1001_2^12 - 6523559094126320806/288456884925889341*c_1001_2^11 - 754270144380785822/96152294975296447*c_1001_2^10 - 17519990114376453770/288456884925889341*c_1001_2^9 + 2147325203549273039/288456884925889341*c_1001_2^8 - 27404210754991088698/288456884925889341*c_1001_2^7 + 3068666102773331222/96152294975296447*c_1001_2^6 - 588134713114161094/6708299649439287*c_1001_2^5 + 9074113759224273224/288456884925889341*c_1001_2^4 - 70005204435444969/1629699914835533*c_1001_2^3 + 69143130057852907/6708299649439287*c_1001_2^2 - 2568881593340087287/288456884925889341*c_1001_2 + 53464985964032033/288456884925889341, c_0011_4 - 105579384411430383/96152294975296447*c_1001_2^15 - 120794708546846123/96152294975296447*c_1001_2^14 - 2338721809499089111/288456884925889341*c_1001_2^13 + 1414725946464158731/288456884925889341*c_1001_2^12 - 4514790343089587086/96152294975296447*c_1001_2^11 + 23140955412418091309/288456884925889341*c_1001_2^10 - 15111771272772905692/96152294975296447*c_1001_2^9 + 24706859902979542536/96152294975296447*c_1001_2^8 - 82909600576941679133/288456884925889341*c_1001_2^7 + 35058928297153547757/96152294975296447*c_1001_2^6 - 1917278824581356980/6708299649439287*c_1001_2^5 + 25319775837311316309/96152294975296447*c_1001_2^4 - 703122421598330684/4889099744506599*c_1001_2^3 + 214135910140935145/2236099883146429*c_1001_2^2 - 2876977539180449028/96152294975296447*c_1001_2 + 3872548130210359912/288456884925889341, c_0011_7 + c_1001_2, c_0101_0 - 118016325618520611/96152294975296447*c_1001_2^15 - 354488835018602935/96152294975296447*c_1001_2^14 - 4065644988665120699/288456884925889341*c_1001_2^13 - 4736886400266267715/288456884925889341*c_1001_2^12 - 6386875152881734817/96152294975296447*c_1001_2^11 - 6938953786099686998/288456884925889341*c_1001_2^10 - 13693514381614940955/96152294975296447*c_1001_2^9 - 118272621748752577/96152294975296447*c_1001_2^8 - 46497409504835148661/288456884925889341*c_1001_2^7 + 1917028760833233042/96152294975296447*c_1001_2^6 - 709457088751044062/6708299649439287*c_1001_2^5 + 946972325341249283/96152294975296447*c_1001_2^4 - 185723640386010439/4889099744506599*c_1001_2^3 - 4839634010786086/2236099883146429*c_1001_2^2 - 654454925776356968/96152294975296447*c_1001_2 - 553125684037402981/288456884925889341, c_0101_1 + 136657085824330599/96152294975296447*c_1001_2^15 + 217339372284722977/96152294975296447*c_1001_2^14 + 3460149996495426251/288456884925889341*c_1001_2^13 - 57773439528770173/288456884925889341*c_1001_2^12 + 18828138890439191104/288456884925889341*c_1001_2^11 - 21120710929910150072/288456884925889341*c_1001_2^10 + 57075862665626581121/288456884925889341*c_1001_2^9 - 75929675103226182767/288456884925889341*c_1001_2^8 + 32698503489171673309/96152294975296447*c_1001_2^7 - 37863698314426142437/96152294975296447*c_1001_2^6 + 2199483579520209956/6708299649439287*c_1001_2^5 - 84278211800916898670/288456884925889341*c_1001_2^4 + 794956946549746151/4889099744506599*c_1001_2^3 - 712431722569929400/6708299649439287*c_1001_2^2 + 9666003002613625777/288456884925889341*c_1001_2 - 1519527725583681362/96152294975296447, c_0101_2 - 11370575756218902/96152294975296447*c_1001_2^15 + 7330346858711803/96152294975296447*c_1001_2^14 - 78085233496141222/288456884925889341*c_1001_2^13 + 932073999827039416/288456884925889341*c_1001_2^12 - 176040579100597967/96152294975296447*c_1001_2^11 + 6667586387038426898/288456884925889341*c_1001_2^10 - 1212839461445084224/96152294975296447*c_1001_2^9 + 6729428408389718702/96152294975296447*c_1001_2^8 - 11994243808434842171/288456884925889341*c_1001_2^7 + 10943921860875414862/96152294975296447*c_1001_2^6 - 442738515012339634/6708299649439287*c_1001_2^5 + 10079927769927629682/96152294975296447*c_1001_2^4 - 251187198441246752/4889099744506599*c_1001_2^3 + 113153588230854469/2236099883146429*c_1001_2^2 - 1498803148239776904/96152294975296447*c_1001_2 + 2966851744807748857/288456884925889341, c_0110_7 + 2394964366004007/2236099883146429*c_1001_2^15 + 8276038511845881/2236099883146429*c_1001_2^14 + 32364251756894765/2236099883146429*c_1001_2^13 + 48900112095893638/2236099883146429*c_1001_2^12 + 160500822149268030/2236099883146429*c_1001_2^11 + 120430428083153326/2236099883146429*c_1001_2^10 + 373128013781475636/2236099883146429*c_1001_2^9 + 133425637396410525/2236099883146429*c_1001_2^8 + 457351953279457971/2236099883146429*c_1001_2^7 + 72513254742299183/2236099883146429*c_1001_2^6 + 318106870400748184/2236099883146429*c_1001_2^5 + 44224465476512651/2236099883146429*c_1001_2^4 + 2031970626158295/37899998019431*c_1001_2^3 + 34277016721610820/2236099883146429*c_1001_2^2 + 19494642029431386/2236099883146429*c_1001_2 + 12374033298587606/2236099883146429, c_1001_0 - 19258899028623366/96152294975296447*c_1001_2^15 - 2101195130023886/96152294975296447*c_1001_2^14 - 392757862038489997/288456884925889341*c_1001_2^13 + 222422707805180012/96152294975296447*c_1001_2^12 - 2850391072246561909/288456884925889341*c_1001_2^11 + 2422177429261877540/96152294975296447*c_1001_2^10 - 12961545730538904845/288456884925889341*c_1001_2^9 + 25433890398931524617/288456884925889341*c_1001_2^8 - 28622457274390087366/288456884925889341*c_1001_2^7 + 13619622132299982833/96152294975296447*c_1001_2^6 - 733849068596478685/6708299649439287*c_1001_2^5 + 32505401530226553737/288456884925889341*c_1001_2^4 - 94985622446946777/1629699914835533*c_1001_2^3 + 283671032440545118/6708299649439287*c_1001_2^2 - 3610796433827321506/288456884925889341*c_1001_2 + 1759314943644416237/288456884925889341, c_1001_10 - 45277663601647065/96152294975296447*c_1001_2^15 - 162990271364406415/96152294975296447*c_1001_2^14 - 1847584921180660109/288456884925889341*c_1001_2^13 - 1021090974006851443/96152294975296447*c_1001_2^12 - 9343229211324646235/288456884925889341*c_1001_2^11 - 3095894209905792094/96152294975296447*c_1001_2^10 - 20616317585031339901/288456884925889341*c_1001_2^9 - 18595848237851139728/288456884925889341*c_1001_2^8 - 19651709636628037505/288456884925889341*c_1001_2^7 - 9118839094614840583/96152294975296447*c_1001_2^6 - 95137751183866730/6708299649439287*c_1001_2^5 - 26654442087996633101/288456884925889341*c_1001_2^4 + 28142401876429939/1629699914835533*c_1001_2^3 - 325023053564578552/6708299649439287*c_1001_2^2 + 2440510296308051719/288456884925889341*c_1001_2 - 3079467930551180099/288456884925889341, c_1001_2^16 + 7/3*c_1001_2^15 + 98/9*c_1001_2^14 + 28/3*c_1001_2^13 + 179/3*c_1001_2^12 - 38/9*c_1001_2^11 + 173*c_1001_2^10 - 704/9*c_1001_2^9 + 866/3*c_1001_2^8 - 1432/9*c_1001_2^7 + 2594/9*c_1001_2^6 - 1306/9*c_1001_2^5 + 1516/9*c_1001_2^4 - 194/3*c_1001_2^3 + 478/9*c_1001_2^2 - 35/3*c_1001_2 + 62/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB