Magma V2.19-8 Tue Aug 20 2013 23:57:28 on localhost [Seed = 239625946] Type ? for help. Type -D to quit. Loading file "L14n32832__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32832 geometric_solution 10.94567645 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 -1 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897321967041 1.049764272234 0 5 6 3 0132 0132 0132 1302 0 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.529506159072 0.550424087065 4 0 7 6 0213 0132 0132 1302 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 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 0.880659787422 0.759750333143 3 3 1 0 1230 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399804023293 0.791225285856 2 8 0 9 0213 0132 0132 0132 0 0 1 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 0 0 0 0 0 2 -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 0.112016829770 0.846475511082 6 1 9 10 0321 0132 1230 0132 0 1 1 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 -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 0.590008357521 0.562429157127 5 11 2 1 0321 0132 2031 0132 0 0 1 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 0 0 0 0 0 -1 0 1 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 0.201771340184 1.284527986099 8 11 10 2 0321 0213 0213 0132 0 1 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 0 0 0 0 0 0 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 0.424626587889 0.478553545638 7 4 9 11 0321 0132 1302 0213 0 1 1 1 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 -2 1 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 -0.194528867789 0.745023391698 8 10 4 5 2031 0321 0132 3012 0 0 1 1 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 -1 1 0 -1 0 1 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 0.680912697294 0.441018520303 11 7 5 9 0213 0213 0132 0321 0 1 1 1 0 0 -1 1 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 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 1.328096525413 1.256572296679 10 6 7 8 0213 0132 0213 0213 0 1 1 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 0 0 0 0 0 1 0 -1 -1 0 1 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 -0.037392031952 1.169139307960 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0110_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_5']), '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_10'], 'c_0101_10' : 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_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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_5']), 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : d['c_0110_9'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_5']), '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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_0011_10'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_3'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_9']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : d['c_0011_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_11, c_0011_3, c_0011_4, c_0101_3, c_0101_5, c_0101_9, c_0110_9, c_1001_1, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2442697396004828568612/3822379481040525085525*c_1001_5^13 + 4368714930171522680671/719506725842922369040*c_1001_5^12 + 131043623503189611939951/4704467053588338566800*c_1001_5^11 + 152960800660238996686499/1528951792416210034210*c_1001_5^10 + 13912325179205934097963339/61158071696648401368400*c_1001_5^9 + 10260881932577043275670603/30579035848324200684200*c_1001_5^8 + 512532564581079581877359/1798766814607305922600*c_1001_5^7 - 6961209073872481881118273/30579035848324200684200*c_1001_5^6 - 4032562359384866258913909/6115807169664840136840*c_1001_5^5 + 5724371930778931469746703/7644758962081050171050*c_1001_5^4 - 322747515546447625093971/12231614339329680273680*c_1001_5^3 - 15837833345352576094293499/30579035848324200684200*c_1001_5^2 + 13416206057570545173264169/61158071696648401368400*c_1001_5 - 31092590621487911600749/2446322867865936054736, c_0011_0 - 1, c_0011_10 + 2933246768798774149/235223352679416928340*c_1001_5^13 + 329722607523127515/2767333560934316804*c_1001_5^12 + 129984850088904751681/235223352679416928340*c_1001_5^11 + 94218480224650992725/47044670535883385668*c_1001_5^10 + 271789652170613030157/58805838169854232085*c_1001_5^9 + 1653546496601962770817/235223352679416928340*c_1001_5^8 + 86052292273664437921/13836667804671584020*c_1001_5^7 - 992394100005179715727/235223352679416928340*c_1001_5^6 - 669553066920005584153/47044670535883385668*c_1001_5^5 + 1250328256734677472019/117611676339708464170*c_1001_5^4 - 82509422211086035963/47044670535883385668*c_1001_5^3 - 874477099974842144201/235223352679416928340*c_1001_5^2 - 279555593161074032427/235223352679416928340*c_1001_5 + 51156065733874375181/47044670535883385668, c_0011_11 + 574478851492244937/117611676339708464170*c_1001_5^13 + 115588975389245947/2767333560934316804*c_1001_5^12 + 9801827574742144129/58805838169854232085*c_1001_5^11 + 12666485264868555787/23522335267941692834*c_1001_5^10 + 208224323315741427013/235223352679416928340*c_1001_5^9 + 99850604895927244037/235223352679416928340*c_1001_5^8 - 21650954576984486639/13836667804671584020*c_1001_5^7 - 1441093684746140262207/235223352679416928340*c_1001_5^6 - 283276460773587709131/47044670535883385668*c_1001_5^5 + 2352573738221351263113/235223352679416928340*c_1001_5^4 - 22587854439685067229/11761167633970846417*c_1001_5^3 - 199862082769957749284/58805838169854232085*c_1001_5^2 + 72448549308836853123/235223352679416928340*c_1001_5 + 17734077347015640250/11761167633970846417, c_0011_3 - 1, c_0011_4 - 574478851492244937/117611676339708464170*c_1001_5^13 - 115588975389245947/2767333560934316804*c_1001_5^12 - 9801827574742144129/58805838169854232085*c_1001_5^11 - 12666485264868555787/23522335267941692834*c_1001_5^10 - 208224323315741427013/235223352679416928340*c_1001_5^9 - 99850604895927244037/235223352679416928340*c_1001_5^8 + 21650954576984486639/13836667804671584020*c_1001_5^7 + 1441093684746140262207/235223352679416928340*c_1001_5^6 + 283276460773587709131/47044670535883385668*c_1001_5^5 - 2352573738221351263113/235223352679416928340*c_1001_5^4 + 22587854439685067229/11761167633970846417*c_1001_5^3 + 199862082769957749284/58805838169854232085*c_1001_5^2 - 72448549308836853123/235223352679416928340*c_1001_5 - 17734077347015640250/11761167633970846417, c_0101_3 - 1772630059989192411/470446705358833856680*c_1001_5^13 - 91865116795922881/2767333560934316804*c_1001_5^12 - 65899242886195123399/470446705358833856680*c_1001_5^11 - 45247348020572995195/94089341071766771336*c_1001_5^10 - 447335245381932384537/470446705358833856680*c_1001_5^9 - 65335666163317918921/58805838169854232085*c_1001_5^8 - 2855616646140691861/6918333902335792010*c_1001_5^7 + 140318846732863398511/58805838169854232085*c_1001_5^6 + 136787999012399490997/47044670535883385668*c_1001_5^5 - 3197862181731804039757/470446705358833856680*c_1001_5^4 + 316862624124671823181/94089341071766771336*c_1001_5^3 + 977478965083287340809/470446705358833856680*c_1001_5^2 - 208378587202282845263/117611676339708464170*c_1001_5 - 36834405590613131639/94089341071766771336, c_0101_5 + 1676248844372120147/470446705358833856680*c_1001_5^13 + 40409765256558383/1383666780467158402*c_1001_5^12 + 52006533185791554023/470446705358833856680*c_1001_5^11 + 32660236044996637503/94089341071766771336*c_1001_5^10 + 232002506451490764479/470446705358833856680*c_1001_5^9 + 6645805574914851343/235223352679416928340*c_1001_5^8 - 19480641283863683921/13836667804671584020*c_1001_5^7 - 1034971340665529382053/235223352679416928340*c_1001_5^6 - 39561679322196739722/11761167633970846417*c_1001_5^5 + 3913469065539884250839/470446705358833856680*c_1001_5^4 - 373457822086691048709/94089341071766771336*c_1001_5^3 - 654298480412268544513/470446705358833856680*c_1001_5^2 + 210031431664647120657/235223352679416928340*c_1001_5 + 53315009432977877779/94089341071766771336, c_0101_9 - 1676248844372120147/470446705358833856680*c_1001_5^13 - 40409765256558383/1383666780467158402*c_1001_5^12 - 52006533185791554023/470446705358833856680*c_1001_5^11 - 32660236044996637503/94089341071766771336*c_1001_5^10 - 232002506451490764479/470446705358833856680*c_1001_5^9 - 6645805574914851343/235223352679416928340*c_1001_5^8 + 19480641283863683921/13836667804671584020*c_1001_5^7 + 1034971340665529382053/235223352679416928340*c_1001_5^6 + 39561679322196739722/11761167633970846417*c_1001_5^5 - 3913469065539884250839/470446705358833856680*c_1001_5^4 + 373457822086691048709/94089341071766771336*c_1001_5^3 + 654298480412268544513/470446705358833856680*c_1001_5^2 - 210031431664647120657/235223352679416928340*c_1001_5 - 53315009432977877779/94089341071766771336, c_0110_9 + 1499849405632548723/235223352679416928340*c_1001_5^13 + 89653110613282793/1383666780467158402*c_1001_5^12 + 75131769968090440737/235223352679416928340*c_1001_5^11 + 56229169058560448011/47044670535883385668*c_1001_5^10 + 703063306805722480441/235223352679416928340*c_1001_5^9 + 594929176994770640857/117611676339708464170*c_1001_5^8 + 38076776333246447891/6918333902335792010*c_1001_5^7 + 24443555915418703123/117611676339708464170*c_1001_5^6 - 90041423851066993627/11761167633970846417*c_1001_5^5 + 585017410109167035651/235223352679416928340*c_1001_5^4 + 184985757330064472929/47044670535883385668*c_1001_5^3 - 494471313449838655537/235223352679416928340*c_1001_5^2 - 90317507557721155991/58805838169854232085*c_1001_5 + 18446737044356472793/47044670535883385668, c_1001_1 - 1772630059989192411/470446705358833856680*c_1001_5^13 - 91865116795922881/2767333560934316804*c_1001_5^12 - 65899242886195123399/470446705358833856680*c_1001_5^11 - 45247348020572995195/94089341071766771336*c_1001_5^10 - 447335245381932384537/470446705358833856680*c_1001_5^9 - 65335666163317918921/58805838169854232085*c_1001_5^8 - 2855616646140691861/6918333902335792010*c_1001_5^7 + 140318846732863398511/58805838169854232085*c_1001_5^6 + 136787999012399490997/47044670535883385668*c_1001_5^5 - 3197862181731804039757/470446705358833856680*c_1001_5^4 + 316862624124671823181/94089341071766771336*c_1001_5^3 + 977478965083287340809/470446705358833856680*c_1001_5^2 - 90766910862574381093/117611676339708464170*c_1001_5 - 36834405590613131639/94089341071766771336, c_1001_2 - 1772630059989192411/470446705358833856680*c_1001_5^13 - 91865116795922881/2767333560934316804*c_1001_5^12 - 65899242886195123399/470446705358833856680*c_1001_5^11 - 45247348020572995195/94089341071766771336*c_1001_5^10 - 447335245381932384537/470446705358833856680*c_1001_5^9 - 65335666163317918921/58805838169854232085*c_1001_5^8 - 2855616646140691861/6918333902335792010*c_1001_5^7 + 140318846732863398511/58805838169854232085*c_1001_5^6 + 136787999012399490997/47044670535883385668*c_1001_5^5 - 3197862181731804039757/470446705358833856680*c_1001_5^4 + 316862624124671823181/94089341071766771336*c_1001_5^3 + 977478965083287340809/470446705358833856680*c_1001_5^2 - 90766910862574381093/117611676339708464170*c_1001_5 - 36834405590613131639/94089341071766771336, c_1001_5^14 + 9*c_1001_5^13 + 39*c_1001_5^12 + 136*c_1001_5^11 + 282*c_1001_5^10 + 361*c_1001_5^9 + 200*c_1001_5^8 - 576*c_1001_5^7 - 882*c_1001_5^6 + 1577*c_1001_5^5 - 602*c_1001_5^4 - 344*c_1001_5^3 + 131*c_1001_5^2 + 133*c_1001_5 - 65 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB