Magma V2.19-8 Wed Aug 21 2013 00:10:01 on localhost [Seed = 3170554664] Type ? for help. Type -D to quit. Loading file "K13n2533__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2533 geometric_solution 11.84720038 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 0.786108331901 0.567555787567 0 5 3 6 0132 0132 3012 0132 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 1 -1 0 0 0 0 5 -5 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318659512837 0.559830319184 7 0 8 4 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.519202395507 0.699218264472 6 1 9 0 0132 1230 0132 0132 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 5 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631382928988 0.423350914215 2 10 0 11 3012 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 0 1 -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 0.628666472368 0.854378443475 11 1 12 8 1302 0132 0132 3120 0 0 0 0 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 0 0 0 0 0 0 1 -5 0 4 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507393228769 1.924102222861 3 12 1 8 0132 0213 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.656717666365 1.531847988514 2 11 12 9 0132 1302 0213 1302 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 -1 1 0 -1 0 1 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799210914471 1.362895706963 5 10 6 2 3120 0321 1230 0132 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 0 0 -1 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809338068655 0.979811830052 11 10 7 3 0132 0213 2031 0132 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 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102072208495 1.000037678973 12 4 9 8 0132 0132 0213 0321 0 0 0 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 0 0 0 0 0 0 0 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771956813151 1.394890733752 9 5 4 7 0132 2031 0132 2031 0 0 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 -1 1 0 0 0 -1 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 0.574029445311 1.656204862146 10 7 6 5 0132 0213 0213 0132 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -4 -1 0 5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037622345056 0.835217847253 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_1001_2'], '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' : negation(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' : 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_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_1010_7']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1010_7']), 'c_1100_3' : negation(d['c_1010_7']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_7']), 'c_1100_11' : negation(d['c_1010_7']), 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], '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' : negation(d['c_0101_8']), '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_11']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_8'], '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_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_0011_10']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_0101_9, c_1001_2, c_1001_3, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 7411105325331824349055/331455002101422639*c_1010_7^16 - 91234742787465694337485/994365006304267917*c_1010_7^15 + 78763769666575867094398/994365006304267917*c_1010_7^14 + 81321895325154449896660/331455002101422639*c_1010_7^13 - 1019303355737240985267476/1657275010507113195*c_1010_7^12 + 1291461242737697627588363/4971825031521339585*c_1010_7^11 + 1317718371679785199093507/1657275010507113195*c_1010_7^10 - 6463786824558350380251973/4971825031521339585*c_1010_7^9 + 926930433636309933271027/1657275010507113195*c_1010_7^8 + 780058758093983926068773/1657275010507113195*c_1010_7^7 - 3437407963203704530293983/4971825031521339585*c_1010_7^6 + 1326416602630330757669252/4971825031521339585*c_1010_7^5 + 136699747793541181344131/1657275010507113195*c_1010_7^4 - 42354913170207984509300/331455002101422639*c_1010_7^3 + 281660283862000916021041/4971825031521339585*c_1010_7^2 - 12108370947045555516013/994365006304267917*c_1010_7 + 5751653665518998272588/4971825031521339585, c_0011_0 - 1, c_0011_10 - 65792256636300/149649259441*c_1010_7^16 + 228468309840775/149649259441*c_1010_7^15 - 183910746539255/448947778323*c_1010_7^14 - 2513183269668380/448947778323*c_1010_7^13 + 3765189564360311/448947778323*c_1010_7^12 + 1061142377083870/448947778323*c_1010_7^11 - 7223718842139086/448947778323*c_1010_7^10 + 5937159885702380/448947778323*c_1010_7^9 + 317751865434552/149649259441*c_1010_7^8 - 1502238647699664/149649259441*c_1010_7^7 + 845551997526606/149649259441*c_1010_7^6 + 250759675803607/448947778323*c_1010_7^5 - 938709844645289/448947778323*c_1010_7^4 + 436917640949129/448947778323*c_1010_7^3 - 60754656092486/448947778323*c_1010_7^2 - 4392937412854/149649259441*c_1010_7 + 3982255448524/448947778323, c_0011_11 - 365665277122100/448947778323*c_1010_7^16 + 4098890363476250/1346843334969*c_1010_7^15 - 2006793478141985/1346843334969*c_1010_7^14 - 4600253311598005/448947778323*c_1010_7^13 + 8216433497004604/448947778323*c_1010_7^12 + 822312030705061/1346843334969*c_1010_7^11 - 4702121937934302/149649259441*c_1010_7^10 + 43069424883599548/1346843334969*c_1010_7^9 - 643641883198015/448947778323*c_1010_7^8 - 8952433384494194/448947778323*c_1010_7^7 + 19634323156635890/1346843334969*c_1010_7^6 - 1471269931972307/1346843334969*c_1010_7^5 - 1815187989806473/448947778323*c_1010_7^4 + 34322753549283/13604478131*c_1010_7^3 - 851870263477630/1346843334969*c_1010_7^2 + 61702811559245/1346843334969*c_1010_7 + 627308919232/122440303179, c_0011_3 - 520772575969100/448947778323*c_1010_7^16 + 6190825281863900/1346843334969*c_1010_7^15 - 4104443489232935/1346843334969*c_1010_7^14 - 2124855409153590/149649259441*c_1010_7^13 + 4360725360762833/149649259441*c_1010_7^12 - 6010100633485445/1346843334969*c_1010_7^11 - 20096363887248317/448947778323*c_1010_7^10 + 73262960752577620/1346843334969*c_1010_7^9 - 5272797539756491/448947778323*c_1010_7^8 - 12075245810306213/448947778323*c_1010_7^7 + 35104872541948565/1346843334969*c_1010_7^6 - 8506597468626215/1346843334969*c_1010_7^5 - 720167996640354/149649259441*c_1010_7^4 + 189599175833317/40813434393*c_1010_7^3 - 2397350264518348/1346843334969*c_1010_7^2 + 471027735087089/1346843334969*c_1010_7 - 3582664589951/122440303179, c_0101_0 - 217356953138575/448947778323*c_1010_7^16 + 2439932839554550/1346843334969*c_1010_7^15 - 1219613020432420/1346843334969*c_1010_7^14 - 2691337248168740/448947778323*c_1010_7^13 + 4833694247233583/448947778323*c_1010_7^12 + 107051579817155/1346843334969*c_1010_7^11 - 2673499566932141/149649259441*c_1010_7^10 + 25272898676566976/1346843334969*c_1010_7^9 - 940201896599543/448947778323*c_1010_7^8 - 4622904689015065/448947778323*c_1010_7^7 + 11428623563914921/1346843334969*c_1010_7^6 - 2137821794146312/1346843334969*c_1010_7^5 - 765079873494968/448947778323*c_1010_7^4 + 221577626970224/149649259441*c_1010_7^3 - 786290693355665/1346843334969*c_1010_7^2 + 178828582048492/1346843334969*c_1010_7 - 20712783543425/1346843334969, c_0101_1 - 1036608956125/40813434393*c_1010_7^16 + 16351606547900/1346843334969*c_1010_7^15 + 81863584949200/1346843334969*c_1010_7^14 + 20182544440270/149649259441*c_1010_7^13 - 57090871980305/149649259441*c_1010_7^12 - 842913953339291/1346843334969*c_1010_7^11 + 787562817819754/448947778323*c_1010_7^10 + 83976312483334/1346843334969*c_1010_7^9 - 1352218979034196/448947778323*c_1010_7^8 + 1077192140391838/448947778323*c_1010_7^7 + 937578381973082/1346843334969*c_1010_7^6 - 2513172157898357/1346843334969*c_1010_7^5 + 112308862027772/149649259441*c_1010_7^4 + 110633113596386/448947778323*c_1010_7^3 - 39104980206536/122440303179*c_1010_7^2 + 145874652816608/1346843334969*c_1010_7 - 18244084080892/1346843334969, c_0101_11 + 251715581394575/448947778323*c_1010_7^16 - 2891232045709775/1346843334969*c_1010_7^15 + 1800575791482170/1346843334969*c_1010_7^14 + 2960997709793675/448947778323*c_1010_7^13 - 5954020001772248/448947778323*c_1010_7^12 + 2942976389831564/1346843334969*c_1010_7^11 + 8964279622972390/448947778323*c_1010_7^10 - 33783517968644896/1346843334969*c_1010_7^9 + 3007304891986807/448947778323*c_1010_7^8 + 5081023665267128/448947778323*c_1010_7^7 - 16515937786640327/1346843334969*c_1010_7^6 + 5030438768388035/1346843334969*c_1010_7^5 + 823253210035862/448947778323*c_1010_7^4 - 997772470057270/448947778323*c_1010_7^3 + 1308899981649160/1346843334969*c_1010_7^2 - 300696284163401/1346843334969*c_1010_7 + 31704117357898/1346843334969, c_0101_2 - 193072735244800/448947778323*c_1010_7^16 + 223390087997975/122440303179*c_1010_7^15 - 2042358190595830/1346843334969*c_1010_7^14 - 784507689811875/149649259441*c_1010_7^13 + 1841177584503859/149649259441*c_1010_7^12 - 4774735063438891/1346843334969*c_1010_7^11 - 7901630964289600/448947778323*c_1010_7^10 + 2949709974686065/122440303179*c_1010_7^9 - 3138788406676457/448947778323*c_1010_7^8 - 4865887369514113/448947778323*c_1010_7^7 + 1448004708713087/122440303179*c_1010_7^6 - 4523407084119370/1346843334969*c_1010_7^5 - 290799099112667/149649259441*c_1010_7^4 + 943735466070472/448947778323*c_1010_7^3 - 1134298642232708/1346843334969*c_1010_7^2 + 231392429014471/1346843334969*c_1010_7 - 19484059703795/1346843334969, c_0101_8 - 75014096325350/149649259441*c_1010_7^16 + 903180292432250/448947778323*c_1010_7^15 - 585336982311985/448947778323*c_1010_7^14 - 2896186816690790/448947778323*c_1010_7^13 + 5821756677814742/448947778323*c_1010_7^12 - 498773770036459/448947778323*c_1010_7^11 - 9542239117438991/448947778323*c_1010_7^10 + 3537698776866722/149649259441*c_1010_7^9 - 327185668337487/149649259441*c_1010_7^8 - 2136986475740526/149649259441*c_1010_7^7 + 4902956050017116/448947778323*c_1010_7^6 - 392661135161695/448947778323*c_1010_7^5 - 123192703331989/40813434393*c_1010_7^4 + 829277762695955/448947778323*c_1010_7^3 - 64198972528986/149649259441*c_1010_7^2 + 8295611369765/448947778323*c_1010_7 + 812488311642/149649259441, c_0101_9 + 203357241773800/448947778323*c_1010_7^16 - 2225858093347675/1346843334969*c_1010_7^15 + 1059228702286255/1346843334969*c_1010_7^14 + 2424170288638720/448947778323*c_1010_7^13 - 4308728477699647/448947778323*c_1010_7^12 + 234590343767224/1346843334969*c_1010_7^11 + 6938488017437246/448947778323*c_1010_7^10 - 22977231558630533/1346843334969*c_1010_7^9 + 131765294033647/40813434393*c_1010_7^8 + 3735323682090004/448947778323*c_1010_7^7 - 10843389987580111/1346843334969*c_1010_7^6 + 3033769120026115/1346843334969*c_1010_7^5 + 563107715242096/448947778323*c_1010_7^4 - 657769030983818/448947778323*c_1010_7^3 + 891810627707435/1346843334969*c_1010_7^2 - 218232628646557/1346843334969*c_1010_7 + 24972577069370/1346843334969, c_1001_2 - 42523639206175/149649259441*c_1010_7^16 + 595011228592600/448947778323*c_1010_7^15 - 693879260186705/448947778323*c_1010_7^14 - 123469001917025/40813434393*c_1010_7^13 + 4415531245516936/448947778323*c_1010_7^12 - 248046037777111/40813434393*c_1010_7^11 - 457225237833533/40813434393*c_1010_7^10 + 3287229934696938/149649259441*c_1010_7^9 - 1677612442047155/149649259441*c_1010_7^8 - 1017502659202642/149649259441*c_1010_7^7 + 5323448153422426/448947778323*c_1010_7^6 - 2279475125348450/448947778323*c_1010_7^5 - 517946186699341/448947778323*c_1010_7^4 + 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