Magma V2.19-8 Tue Aug 20 2013 23:38:22 on localhost [Seed = 795429643] Type ? for help. Type -D to quit. Loading file "K10a60__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a60 geometric_solution 9.67514114 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 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 -1 1 0 0 0 0 0 0 0 0 -8 9 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321525054637 0.744752103030 0 4 4 0 0132 0132 2031 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 0 0 0 0 0 0 0 8 1 0 -9 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668458794579 0.733757519646 5 5 6 0 0132 1230 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 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664514109133 1.223006059742 7 4 0 8 0132 2031 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 -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 0.269870373243 0.502481857292 3 1 8 1 1302 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511385388280 1.131783524802 2 9 2 9 0132 0132 3012 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 1 -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 0.656993609374 0.631286662692 9 7 10 2 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 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 0.304823458638 0.174959454568 3 6 10 8 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.683077082346 0.961160561830 10 4 3 7 1023 0213 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.307858203631 1.278372594528 10 5 5 6 0321 0132 1230 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 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 0.208597286714 0.760436586578 9 8 7 6 0321 1023 1023 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 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 0.503453638107 1.140207563747 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0011_0'], 'c_1010_10' : d['c_0110_8'], '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_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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : negation(d['c_0011_2']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_2'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0011_2']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], '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_0101_10']), 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_10, c_0011_2, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_4, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 227357/324280*c_1100_0^5 - 5949/16214*c_1100_0^4 + 520717/324280*c_1100_0^3 - 582661/81070*c_1100_0^2 + 2758623/324280*c_1100_0 + 1306077/324280, c_0011_0 - 1, c_0011_10 + 3/134*c_1100_0^5 - 11/67*c_1100_0^4 - 43/134*c_1100_0^3 + 17/67*c_1100_0^2 - 215/134*c_1100_0 + 5/134, c_0011_2 - 1, c_0101_0 - 3/134*c_1100_0^5 + 11/67*c_1100_0^4 + 43/134*c_1100_0^3 - 17/67*c_1100_0^2 + 215/134*c_1100_0 - 5/134, c_0101_1 + 24/67*c_1100_0^5 + 25/67*c_1100_0^4 - 9/67*c_1100_0^3 + 272/67*c_1100_0^2 - 179/67*c_1100_0 + 40/67, c_0101_10 + 53/134*c_1100_0^5 + 29/67*c_1100_0^4 - 45/134*c_1100_0^3 + 278/67*c_1100_0^2 - 359/134*c_1100_0 - 1/134, c_0101_2 + 24/67*c_1100_0^5 + 25/67*c_1100_0^4 - 9/67*c_1100_0^3 + 272/67*c_1100_0^2 - 179/67*c_1100_0 + 40/67, c_0101_7 + 33/134*c_1100_0^5 + 13/67*c_1100_0^4 - 71/134*c_1100_0^3 + 187/67*c_1100_0^2 - 221/134*c_1100_0 - 79/134, c_0110_4 - 53/134*c_1100_0^5 - 29/67*c_1100_0^4 + 45/134*c_1100_0^3 - 278/67*c_1100_0^2 + 359/134*c_1100_0 + 1/134, c_0110_8 + 14/67*c_1100_0^5 + 9/67*c_1100_0^4 - 22/67*c_1100_0^3 + 181/67*c_1100_0^2 - 110/67*c_1100_0 + 68/67, c_1100_0^6 + c_1100_0^5 - c_1100_0^4 + 11*c_1100_0^3 - 7*c_1100_0^2 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0110_4, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 76472843956911941310958881/19378787435356899368108528*c_1100_0^15 - 36437830993402371428998587/2422348429419612421013566*c_1100_0^14 - 14513038868684192557832927/19378787435356899368108528*c_1100_0^13 + 201801519602933491286694989/19378787435356899368108528*c_1100_0^12 + 759673587254330936936485557/19378787435356899368108528*c_1100_0^11 - 756352938611876644199585279/19378787435356899368108528*c_1100_0^10 - 129823006994818678701361855/19378787435356899368108528*c_1100_0^9 + 16510382215944604755868356001/19378787435356899368108528*c_1100_0^8 + 12356760457257718973338895763/9689393717678449684054264*c_1100_0^\ 7 - 120393671756076586558097616/173024887815686601500969*c_1100_0^6 - 28137133597419733069617503883/19378787435356899368108528*c_1100_0\ ^5 + 71514390181468299153780491/346049775631373203001938*c_1100_0^4 + 10089498842160039438547528205/19378787435356899368108528*c_1100_0\ ^3 - 860032745725367733385206477/19378787435356899368108528*c_1100_\ 0^2 + 111678643420979304271040617/1211174214709806210506783*c_1100_\ 0 + 385048498838871716600233953/19378787435356899368108528, c_0011_0 - 1, c_0011_10 - 327827682041215977/3028245931982543737*c_1100_0^15 + 1318953543859729748/3028245931982543737*c_1100_0^14 - 213128597437266145/3028245931982543737*c_1100_0^13 - 803313996209846284/3028245931982543737*c_1100_0^12 - 3171946486510832487/3028245931982543737*c_1100_0^11 + 3879598533693591777/3028245931982543737*c_1100_0^10 - 445302532184946251/3028245931982543737*c_1100_0^9 - 70329255677478888729/3028245931982543737*c_1100_0^8 - 91221144052305624354/3028245931982543737*c_1100_0^7 + 78483534996115806726/3028245931982543737*c_1100_0^6 + 110971252555508258583/3028245931982543737*c_1100_0^5 - 24297721301766697021/3028245931982543737*c_1100_0^4 - 18078232367674153326/3028245931982543737*c_1100_0^3 + 21914931659549684829/3028245931982543737*c_1100_0^2 - 10590820716966944271/3028245931982543737*c_1100_0 - 565099197902095262/3028245931982543737, c_0011_2 - 613558556999492559/3028245931982543737*c_1100_0^15 + 2642577032704126655/3028245931982543737*c_1100_0^14 - 1117644451693849893/3028245931982543737*c_1100_0^13 - 1348487198322995933/3028245931982543737*c_1100_0^12 - 5376629086333705415/3028245931982543737*c_1100_0^11 + 8767827281730281090/3028245931982543737*c_1100_0^10 - 2872732922640350737/3028245931982543737*c_1100_0^9 - 131792497349721192904/3028245931982543737*c_1100_0^8 - 132491621029911485378/3028245931982543737*c_1100_0^7 + 190097861274642029715/3028245931982543737*c_1100_0^6 + 155567038917772009122/3028245931982543737*c_1100_0^5 - 107906145964574606971/3028245931982543737*c_1100_0^4 - 12609982810198966459/3028245931982543737*c_1100_0^3 + 49738171710596952771/3028245931982543737*c_1100_0^2 - 32402467161577980407/3028245931982543737*c_1100_0 + 5025640466487636311/3028245931982543737, c_0101_0 + 327827682041215977/3028245931982543737*c_1100_0^15 - 1318953543859729748/3028245931982543737*c_1100_0^14 + 213128597437266145/3028245931982543737*c_1100_0^13 + 803313996209846284/3028245931982543737*c_1100_0^12 + 3171946486510832487/3028245931982543737*c_1100_0^11 - 3879598533693591777/3028245931982543737*c_1100_0^10 + 445302532184946251/3028245931982543737*c_1100_0^9 + 70329255677478888729/3028245931982543737*c_1100_0^8 + 91221144052305624354/3028245931982543737*c_1100_0^7 - 78483534996115806726/3028245931982543737*c_1100_0^6 - 110971252555508258583/3028245931982543737*c_1100_0^5 + 24297721301766697021/3028245931982543737*c_1100_0^4 + 18078232367674153326/3028245931982543737*c_1100_0^3 - 21914931659549684829/3028245931982543737*c_1100_0^2 + 10590820716966944271/3028245931982543737*c_1100_0 + 565099197902095262/3028245931982543737, c_0101_1 + 11863718929823865/3028245931982543737*c_1100_0^15 - 236121215193089581/3028245931982543737*c_1100_0^14 + 600903663438580255/3028245931982543737*c_1100_0^13 + 399985756812200095/3028245931982543737*c_1100_0^12 + 30238421870842918/3028245931982543737*c_1100_0^11 - 1821847814201693873/3028245931982543737*c_1100_0^10 + 454150277309069336/3028245931982543737*c_1100_0^9 + 2795334451087522359/3028245931982543737*c_1100_0^8 - 37557984643377049929/3028245931982543737*c_1100_0^7 - 89584096263916783184/3028245931982543737*c_1100_0^6 - 42056740113477323618/3028245931982543737*c_1100_0^5 + 15915316438380022406/3028245931982543737*c_1100_0^4 - 2721997663037249362/3028245931982543737*c_1100_0^3 - 3183048104984490145/3028245931982543737*c_1100_0^2 + 8064986534070310967/3028245931982543737*c_1100_0 + 88547040564164689/3028245931982543737, c_0101_10 - 203398770358949669/3028245931982543737*c_1100_0^15 + 658697453849520803/3028245931982543737*c_1100_0^14 + 435460302510516972/3028245931982543737*c_1100_0^13 - 394490636524445005/3028245931982543737*c_1100_0^12 - 2117905997026746414/3028245931982543737*c_1100_0^11 + 862481410085867743/3028245931982543737*c_1100_0^10 + 899881059976224220/3028245931982543737*c_1100_0^9 - 43982017472451864349/3028245931982543737*c_1100_0^8 - 90529093456654681250/3028245931982543737*c_1100_0^7 - 11870684433152332674/3028245931982543737*c_1100_0^6 + 66860594255199902193/3028245931982543737*c_1100_0^5 + 13483076541121455279/3028245931982543737*c_1100_0^4 - 16646812909009499839/3028245931982543737*c_1100_0^3 + 13308714230219648932/3028245931982543737*c_1100_0^2 + 1988128620339832512/3028245931982543737*c_1100_0 - 4472412237927346305/3028245931982543737, c_0101_2 - 126398935196767833/3028245931982543737*c_1100_0^15 + 335619634232443679/3028245931982543737*c_1100_0^14 + 551175935460832642/3028245931982543737*c_1100_0^13 - 210159274048612347/3028245931982543737*c_1100_0^12 - 1622630639389305351/3028245931982543737*c_1100_0^11 - 10360406352868139/3028245931982543737*c_1100_0^10 + 1162346487214526639/3028245931982543737*c_1100_0^9 - 27070209908719528199/3028245931982543737*c_1100_0^8 - 72629939116975088847/3028245931982543737*c_1100_0^7 - 30751132026920752533/3028245931982543737*c_1100_0^6 + 58438641813994160737/3028245931982543737*c_1100_0^5 + 33428712693823602103/3028245931982543737*c_1100_0^4 - 19885746411919862761/3028245931982543737*c_1100_0^3 + 8757550635556498058/3028245931982543737*c_1100_0^2 + 9810307137702064865/3028245931982543737*c_1100_0 - 7110132121328116119/3028245931982543737, c_0101_7 - 80001389134284370/3028245931982543737*c_1100_0^15 + 276393319602130280/3028245931982543737*c_1100_0^14 + 138239214231447638/3028245931982543737*c_1100_0^13 - 261332139006648304/3028245931982543737*c_1100_0^12 - 852232970858886465/3028245931982543737*c_1100_0^11 + 503911604300066280/3028245931982543737*c_1100_0^10 + 516588100315163933/3028245931982543737*c_1100_0^9 - 17411080151711375732/3028245931982543737*c_1100_0^8 - 31877923870407740047/3028245931982543737*c_1100_0^7 + 8027437227406729087/3028245931982543737*c_1100_0^6 + 38679470941371812408/3028245931982543737*c_1100_0^5 + 6302848131544613053/3028245931982543737*c_1100_0^4 - 9204617285239440798/3028245931982543737*c_1100_0^3 + 5792264824078009951/3028245931982543737*c_1100_0^2 + 147836416120229170/3028245931982543737*c_1100_0 - 3711316015705565611/3028245931982543737, c_0110_4 + 544513206801914924/3028245931982543737*c_1100_0^15 - 1906629042208250662/3028245931982543737*c_1100_0^14 - 305036463789576144/3028245931982543737*c_1100_0^13 + 13300372820416642/3028245931982543737*c_1100_0^12 + 4963328535558744483/3028245931982543737*c_1100_0^11 - 3632677660514356160/3028245931982543737*c_1100_0^10 + 2058784415291144431/3028245931982543737*c_1100_0^9 + 115989117296542772289/3028245931982543737*c_1100_0^8 + 212227505721749035789/3028245931982543737*c_1100_0^7 + 52327929906351902277/3028245931982543737*c_1100_0^6 - 23847397154746268875/3028245931982543737*c_1100_0^5 + 50522838096606375165/3028245931982543737*c_1100_0^4 + 4052363421270487433/3028245931982543737*c_1100_0^3 - 32573244942841317240/3028245931982543737*c_1100_0^2 + 6858930604690849396/3028245931982543737*c_1100_0 - 5601138483259540295/3028245931982543737, c_0110_8 + 383350227885290626/3028245931982543737*c_1100_0^15 - 1679776372375304684/3028245931982543737*c_1100_0^14 + 811329409449216860/3028245931982543737*c_1100_0^13 + 809841457643228575/3028245931982543737*c_1100_0^12 + 3351523070442638954/3028245931982543737*c_1100_0^11 - 5649817779621044362/3028245931982543737*c_1100_0^10 + 1974394634583299418/3028245931982543737*c_1100_0^9 + 82283361954995661521/3028245931982543737*c_1100_0^8 + 76397473708891142049/3028245931982543737*c_1100_0^7 - 126747654844827580644/3028245931982543737*c_1100_0^6 - 96880552751634307946/3028245931982543737*c_1100_0^5 + 65150096565843401842/3028245931982543737*c_1100_0^4 + 2233430984599654310/3028245931982543737*c_1100_0^3 - 29397554476787666332/3028245931982543737*c_1100_0^2 + 20524422149247491760/3028245931982543737*c_1100_0 - 3347044090505848353/3028245931982543737, c_1100_0^16 - 4*c_1100_0^15 + c_1100_0^14 + c_1100_0^13 + 9*c_1100_0^12 - 11*c_1100_0^11 + 5*c_1100_0^10 + 213*c_1100_0^9 + 282*c_1100_0^8 - 136*c_1100_0^7 - 155*c_1100_0^6 + 108*c_1100_0^5 - 19*c_1100_0^4 - 57*c_1100_0^3 + 44*c_1100_0^2 - 15*c_1100_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB