Magma V2.19-8 Tue Aug 20 2013 23:52:28 on localhost [Seed = 576997639] Type ? for help. Type -D to quit. Loading file "L13n2710__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2710 geometric_solution 10.78611946 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 0 1 0 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 -2 2 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545470205819 0.480626505107 0 0 4 4 0132 2310 2310 0132 1 0 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 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967967161741 0.909348175055 4 0 6 5 0132 0132 0132 0132 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 0 0 0 0 0 -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 0.836939830336 1.152812505315 7 5 8 0 0132 0132 0132 0132 1 0 0 1 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 0 0 0 -2 0 0 2 2 0 0 -2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.468141073516 0.567417668900 2 1 1 8 0132 3201 0132 0132 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 0.545470205819 0.480626505107 9 3 2 7 0132 0132 0132 0321 1 0 1 0 0 0 0 0 1 0 0 -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 -1 0 0 1 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567304654038 0.926571872700 10 8 11 2 0132 0132 0132 0132 1 0 1 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 1 -1 0 0 0 0 -1 0 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.011212019254 0.773153032583 3 5 9 10 0132 0321 0132 2103 1 0 1 0 0 0 0 0 -1 0 1 0 0 1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 4 0 -4 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448133828681 0.430304439331 10 6 4 3 2103 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760019031296 0.491481568954 5 11 11 7 0132 0213 2103 0132 1 0 0 1 0 -1 1 0 -1 0 2 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 1 0 -3 2 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165237657714 1.233820474808 6 11 8 7 0132 2103 2103 2103 1 0 1 1 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 -4 0 4 0 0 0 0 -3 3 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707270625402 0.817128437136 9 10 9 6 2103 2103 0213 0132 1 0 1 1 0 -1 1 0 -2 0 2 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 -3 4 -1 3 0 -3 0 -4 4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376164602688 0.555990088657 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0101_10'], '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_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_1100_5' : d['c_1001_7'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0011_0'], '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'], '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' : d['c_0011_3'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 34694858116078879729952/415927503637963876755*c_1001_7^14 - 55074803491441321177616/415927503637963876755*c_1001_7^13 + 15770646671228810418488/59418214805423410965*c_1001_7^12 + 41605063383450230435248/415927503637963876755*c_1001_7^11 - 178988952095456161089404/415927503637963876755*c_1001_7^10 + 145078414268717485136951/138642501212654625585*c_1001_7^9 + 129613207360992345187667/118836429610846821930*c_1001_7^8 - 766144753371543937940047/415927503637963876755*c_1001_7^7 - 693593921391525541939624/415927503637963876755*c_1001_7^6 + 111793733349135751088383/138642501212654625585*c_1001_7^5 + 160145678034521417908828/138642501212654625585*c_1001_7^4 + 319289680759138104567709/831855007275927753510*c_1001_7^3 + 14054216433465893165321/118836429610846821930*c_1001_7^2 + 18632025684787136401288/415927503637963876755*c_1001_7 + 3620846686630190008613/831855007275927753510, c_0011_0 - 1, c_0011_10 + 644073777126664704/62876417783516837*c_1001_7^14 - 1060320206087382400/62876417783516837*c_1001_7^13 - 771033486242502912/62876417783516837*c_1001_7^12 + 3506238193714516928/62876417783516837*c_1001_7^11 - 3984435112566818960/62876417783516837*c_1001_7^10 - 3492191108533267824/62876417783516837*c_1001_7^9 + 9227468571462669524/62876417783516837*c_1001_7^8 + 1035194200110521676/62876417783516837*c_1001_7^7 - 7103710132717262385/62876417783516837*c_1001_7^6 - 910996854368370871/62876417783516837*c_1001_7^5 + 2592995720649246175/62876417783516837*c_1001_7^4 + 206017062274594678/62876417783516837*c_1001_7^3 - 276004442590987421/62876417783516837*c_1001_7^2 - 23185718300570442/62876417783516837*c_1001_7 - 30316665959292725/62876417783516837, c_0011_3 + 266803304510701312/62876417783516837*c_1001_7^14 - 431552235027393792/62876417783516837*c_1001_7^13 - 303386571931323008/62876417783516837*c_1001_7^12 + 1433127204568548448/62876417783516837*c_1001_7^11 - 1725445689102496832/62876417783516837*c_1001_7^10 - 1341910791627616232/62876417783516837*c_1001_7^9 + 3800694813896532392/62876417783516837*c_1001_7^8 + 57841857177985526/62876417783516837*c_1001_7^7 - 2529031213043241434/62876417783516837*c_1001_7^6 + 86445301795284450/62876417783516837*c_1001_7^5 + 605049802788730939/62876417783516837*c_1001_7^4 - 177836813815585005/62876417783516837*c_1001_7^3 - 40721606978525046/62876417783516837*c_1001_7^2 + 122425945104628195/62876417783516837*c_1001_7 - 9733227731991284/62876417783516837, c_0101_0 - 1, c_0101_1 - 385557828848988288/62876417783516837*c_1001_7^14 + 538319690064636608/62876417783516837*c_1001_7^13 + 765868662358015008/62876417783516837*c_1001_7^12 - 2343910622044884032/62876417783516837*c_1001_7^11 + 1911040612421073264/62876417783516837*c_1001_7^10 + 3506652373823949588/62876417783516837*c_1001_7^9 - 6470893128721786494/62876417783516837*c_1001_7^8 - 1835229364481699636/62876417783516837*c_1001_7^7 + 6330048172465642902/62876417783516837*c_1001_7^6 + 449375867449886928/62876417783516837*c_1001_7^5 - 2550374732642289304/62876417783516837*c_1001_7^4 - 214848141226263176/62876417783516837*c_1001_7^3 + 551018239544829118/62876417783516837*c_1001_7^2 + 17449689765989300/62876417783516837*c_1001_7 + 30487719316309044/62876417783516837, c_0101_10 - 1231462907783546304/62876417783516837*c_1001_7^14 + 2329836502638831840/62876417783516837*c_1001_7^13 + 718050714967315152/62876417783516837*c_1001_7^12 - 6644524375996268816/62876417783516837*c_1001_7^11 + 9485938840204324824/62876417783516837*c_1001_7^10 + 3528186965465152142/62876417783516837*c_1001_7^9 - 17582731970127249619/62876417783516837*c_1001_7^8 + 3341657466128019835/62876417783516837*c_1001_7^7 + 10876362971334372130/62876417783516837*c_1001_7^6 - 1507972695989645483/62876417783516837*c_1001_7^5 - 3597498087506303405/62876417783516837*c_1001_7^4 + 968096947603849423/62876417783516837*c_1001_7^3 + 199605823844540948/62876417783516837*c_1001_7^2 - 14826431236269611/62876417783516837*c_1001_7 + 40490773217830101/62876417783516837, c_0101_3 - 916189885388984832/62876417783516837*c_1001_7^14 + 2061606268442423552/62876417783516837*c_1001_7^13 - 71797034681080192/62876417783516837*c_1001_7^12 - 5029365571914993472/62876417783516837*c_1001_7^11 + 8575140745686238816/62876417783516837*c_1001_7^10 + 79565109155862752/62876417783516837*c_1001_7^9 - 13398007522132446728/62876417783516837*c_1001_7^8 + 6101438899968148680/62876417783516837*c_1001_7^7 + 6996123105132611846/62876417783516837*c_1001_7^6 - 2126716611117690167/62876417783516837*c_1001_7^5 - 2801271919938499788/62876417783516837*c_1001_7^4 + 600710024114510930/62876417783516837*c_1001_7^3 + 71118505915030043/62876417783516837*c_1001_7^2 + 192476917109250038/62876417783516837*c_1001_7 + 8747258575530615/62876417783516837, c_0101_6 + 708803713611188096/62876417783516837*c_1001_7^14 - 1224637206579934464/62876417783516837*c_1001_7^13 - 646962355688720448/62876417783516837*c_1001_7^12 + 3827842217219906096/62876417783516837*c_1001_7^11 - 4934299098855573104/62876417783516837*c_1001_7^10 - 2976944343883311748/62876417783516837*c_1001_7^9 + 10132475239880905480/62876417783516837*c_1001_7^8 - 671344560336300989/62876417783516837*c_1001_7^7 - 6711730842549977396/62876417783516837*c_1001_7^6 + 532854221525731827/62876417783516837*c_1001_7^5 + 1951948658633854391/62876417783516837*c_1001_7^4 - 563815464470151377/62876417783516837*c_1001_7^3 - 127677902267224630/62876417783516837*c_1001_7^2 + 170228013476839635/62876417783516837*c_1001_7 - 27273506359477632/62876417783516837, c_1001_0 + 1231462907783546304/62876417783516837*c_1001_7^14 - 2329836502638831840/62876417783516837*c_1001_7^13 - 718050714967315152/62876417783516837*c_1001_7^12 + 6644524375996268816/62876417783516837*c_1001_7^11 - 9485938840204324824/62876417783516837*c_1001_7^10 - 3528186965465152142/62876417783516837*c_1001_7^9 + 17582731970127249619/62876417783516837*c_1001_7^8 - 3341657466128019835/62876417783516837*c_1001_7^7 - 10876362971334372130/62876417783516837*c_1001_7^6 + 1507972695989645483/62876417783516837*c_1001_7^5 + 3597498087506303405/62876417783516837*c_1001_7^4 - 968096947603849423/62876417783516837*c_1001_7^3 - 199605823844540948/62876417783516837*c_1001_7^2 + 14826431236269611/62876417783516837*c_1001_7 - 40490773217830101/62876417783516837, c_1001_1 + 28574484776704/1334304220519*c_1001_7^14 - 49136396508544/1334304220519*c_1001_7^13 - 23052529149248/1334304220519*c_1001_7^12 + 145558333944128/1334304220519*c_1001_7^11 - 195663503171744/1334304220519*c_1001_7^10 - 102196065801400/1334304220519*c_1001_7^9 + 369735314068924/1334304220519*c_1001_7^8 - 17041578951804/1334304220519*c_1001_7^7 - 216868832727244/1334304220519*c_1001_7^6 - 20409949897448/1334304220519*c_1001_7^5 + 57302915122724/1334304220519*c_1001_7^4 + 759111004832/1334304220519*c_1001_7^3 + 986381490032/1334304220519*c_1001_7^2 - 2053617745156/1334304220519*c_1001_7 - 761642029575/1334304220519, c_1001_3 + 1362742495746952832/62876417783516837*c_1001_7^14 - 2307472156211747264/62876417783516837*c_1001_7^13 - 1318560313227614112/62876417783516837*c_1001_7^12 + 7152487935317518016/62876417783516837*c_1001_7^11 - 8958516144678518192/62876417783516837*c_1001_7^10 - 5921962839408352740/62876417783516837*c_1001_7^9 + 18450359812108239190/62876417783516837*c_1001_7^8 + 467937866954677540/62876417783516837*c_1001_7^7 - 12403744900524730534/62876417783516837*c_1001_7^6 - 1489225482491664410/62876417783516837*c_1001_7^5 + 4018491959305732970/62876417783516837*c_1001_7^4 + 243920100799419383/62876417783516837*c_1001_7^3 - 261406276362913366/62876417783516837*c_1001_7^2 - 60158037769596331/62876417783516837*c_1001_7 - 48800934551475321/62876417783516837, c_1001_7^15 - 3/2*c_1001_7^14 - 5/4*c_1001_7^13 + 5*c_1001_7^12 - 45/8*c_1001_7^11 - 173/32*c_1001_7^10 + 799/64*c_1001_7^9 + 43/16*c_1001_7^8 - 273/32*c_1001_7^7 - 167/64*c_1001_7^6 + 153/64*c_1001_7^5 + 35/64*c_1001_7^4 - 1/16*c_1001_7^3 - 3/64*c_1001_7^2 - 3/64*c_1001_7 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB