Magma V2.19-8 Tue Aug 20 2013 23:47:46 on localhost [Seed = 408842869] Type ? for help. Type -D to quit. Loading file "L11n164__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n164 geometric_solution 10.93229173 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 2031 0 0 1 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 1 0 0 -1 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874937408655 1.070689953206 0 0 5 4 0132 1302 0132 0132 0 0 0 1 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 -1 0 0 1 -2 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542371009959 0.560015787514 6 0 8 7 0132 0132 0132 0132 0 1 0 1 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 -1 0 0 1 0 2 0 -2 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924060580113 0.892854764270 7 9 8 0 0321 0132 0321 0132 0 0 0 1 0 0 0 0 1 0 -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 1 0 -1 1 0 -1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299342205638 0.728177119705 7 10 1 5 1302 0132 0132 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 0 0 0 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 0.514478557603 1.245943232979 10 9 4 1 2310 0213 2031 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 -1 0 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 -0.418709625925 0.963879604217 2 8 10 9 0132 3120 0132 3120 0 1 1 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 1 0 -1 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821830231122 0.813989086670 3 4 2 11 0321 2031 0132 0132 0 1 0 0 0 0 0 0 -1 0 0 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 -5 0 -1 6 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634862507899 1.030788900098 11 6 3 2 0213 3120 0321 0132 0 1 1 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 -6 0 0 6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210816654906 0.671961178242 6 3 5 11 3120 0132 0213 0213 0 1 1 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 -1 1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751349468438 0.892664699397 11 4 5 6 1230 0132 3201 0132 0 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 0 0 0 0 0 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.462579956134 0.605914380294 8 10 7 9 0213 3012 0132 0213 0 1 1 0 0 0 0 0 1 0 -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 6 0 -6 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 0.471223040388 0.460698092648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_4']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_1001_4']), 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0101_1']), '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_1100_9' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0011_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_1001_3'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_7, c_0101_1, c_0101_2, c_0101_5, c_0110_4, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 238041011560643390489/1087059858349308780*c_1001_4^10 - 2059226473397826117643/1630589787523963170*c_1001_4^9 + 14375052053206622613097/2445884681285944755*c_1001_4^8 - 36816947646277165943683/3261179575047926340*c_1001_4^7 + 23711074131932755069777/1087059858349308780*c_1001_4^6 - 379064248241211379787323/9783538725143779020*c_1001_4^5 + 222400944384747933292901/4891769362571889510*c_1001_4^4 - 11845148179253258787883/362353286116436260*c_1001_4^3 + 132231884137324336282139/9783538725143779020*c_1001_4^2 - 5421609428154832840241/1956707745028755804*c_1001_4 + 896456878528150027781/4891769362571889510, c_0011_0 - 1, c_0011_10 - 9679602286596942/46336737355043*c_1001_4^10 + 38434539015659382/46336737355043*c_1001_4^9 - 80701629463490266/46336737355043*c_1001_4^8 + 153256013054464892/46336737355043*c_1001_4^7 - 259887860168827338/46336737355043*c_1001_4^6 + 320237874308540378/46336737355043*c_1001_4^5 - 265237995117128338/46336737355043*c_1001_4^4 + 142287111467828158/46336737355043*c_1001_4^3 - 46912403341783835/46336737355043*c_1001_4^2 + 8312976820059569/46336737355043*c_1001_4 - 563087111173405/46336737355043, c_0011_11 - 46465152093539553/92673474710086*c_1001_4^10 + 87971455251659137/46336737355043*c_1001_4^9 - 534749249065666400/139010212065129*c_1001_4^8 + 2028241728965267377/278020424130258*c_1001_4^7 - 3404234120226428537/278020424130258*c_1001_4^6 + 4049751029224016303/278020424130258*c_1001_4^5 - 1592514698907883397/139010212065129*c_1001_4^4 + 1589563058387786581/278020424130258*c_1001_4^3 - 473391028270844557/278020424130258*c_1001_4^2 + 70934096615945257/278020424130258*c_1001_4 - 1722106315341343/139010212065129, c_0011_3 - 90534410843871849/92673474710086*c_1001_4^10 + 172862267050507889/46336737355043*c_1001_4^9 - 1058896038679728934/139010212065129*c_1001_4^8 + 4021497476869205261/278020424130258*c_1001_4^7 - 6765450431575648195/278020424130258*c_1001_4^6 + 8113829873887639027/278020424130258*c_1001_4^5 - 3237587540372136805/139010212065129*c_1001_4^4 + 3314462390634082685/278020424130258*c_1001_4^3 - 1033683902925978989/278020424130258*c_1001_4^2 + 171432684728809493/278020424130258*c_1001_4 - 5342869113635492/139010212065129, c_0011_5 + 36745197420327750/46336737355043*c_1001_4^10 - 138487810081627956/46336737355043*c_1001_4^9 + 279712622038700768/46336737355043*c_1001_4^8 - 530664559207222679/46336737355043*c_1001_4^7 + 890042564975743739/46336737355043*c_1001_4^6 - 1055492365183473187/46336737355043*c_1001_4^5 + 827212484368605767/46336737355043*c_1001_4^4 - 412122218189885311/46336737355043*c_1001_4^3 + 123286206791719817/46336737355043*c_1001_4^2 - 18884392016773059/46336737355043*c_1001_4 + 941579324067181/46336737355043, c_0011_7 + 1, c_0101_1 - 57119203004194809/92673474710086*c_1001_4^10 + 112936971643400190/46336737355043*c_1001_4^9 - 235763696383171721/46336737355043*c_1001_4^8 + 893823178285152171/92673474710086*c_1001_4^7 - 1514152036020231903/92673474710086*c_1001_4^6 + 1855561359964442159/92673474710086*c_1001_4^5 - 760255502401575762/46336737355043*c_1001_4^4 + 801324144546900311/92673474710086*c_1001_4^3 - 257173773520235061/92673474710086*c_1001_4^2 + 43979577149710741/92673474710086*c_1001_4 - 1408868645172916/46336737355043, c_0101_2 - 119942044756976707/92673474710086*c_1001_4^10 + 698705392886276272/139010212065129*c_1001_4^9 - 4323505838946237095/417030636195387*c_1001_4^8 + 16390356306571442947/834061272390774*c_1001_4^7 - 27655537997918765729/834061272390774*c_1001_4^6 + 33490615055393172065/834061272390774*c_1001_4^5 - 13494417558678731576/417030636195387*c_1001_4^4 + 13888742344076667475/834061272390774*c_1001_4^3 - 4298037951552983995/834061272390774*c_1001_4^2 + 684058842415780405/834061272390774*c_1001_4 - 17926872294553108/417030636195387, c_0101_5 - 40072397882350599/92673474710086*c_1001_4^10 + 78642827002907565/46336737355043*c_1001_4^9 - 163240694221317235/46336737355043*c_1001_4^8 + 618896729403879999/92673474710086*c_1001_4^7 - 1047084654668507365/92673474710086*c_1001_4^6 + 1276449247440984497/92673474710086*c_1001_4^5 - 519366066603006444/46336737355043*c_1001_4^4 + 543549700945026615/92673474710086*c_1001_4^3 - 173565245875135175/92673474710086*c_1001_4^2 + 29727207795124791/92673474710086*c_1001_4 - 971173602995178/46336737355043, c_0110_4 + 77993055517957011/92673474710086*c_1001_4^10 - 149382924895769289/46336737355043*c_1001_4^9 + 305305798247716432/46336737355043*c_1001_4^8 - 1158456656611350335/92673474710086*c_1001_4^7 + 1949826697194309717/92673474710086*c_1001_4^6 - 2340453398264495405/92673474710086*c_1001_4^5 + 933271296075744272/46336737355043*c_1001_4^4 - 951826707766235371/92673474710086*c_1001_4^3 + 293749737775254427/92673474710086*c_1001_4^2 - 47416503742816271/92673474710086*c_1001_4 + 1349608139011359/46336737355043, c_1001_3 + 55482603073968423/92673474710086*c_1001_4^10 - 108427889032172617/46336737355043*c_1001_4^9 + 675584949492489518/139010212065129*c_1001_4^8 - 2566786189533241591/278020424130258*c_1001_4^7 + 4338021112916499023/278020424130258*c_1001_4^6 - 5290234916001160565/278020424130258*c_1001_4^5 + 2161701990510586112/139010212065129*c_1001_4^4 - 2278183701601999531/278020424130258*c_1001_4^3 + 733388199186920575/278020424130258*c_1001_4^2 - 125444886794217055/278020424130258*c_1001_4 + 3864132650245258/139010212065129, c_1001_4^11 - 370/87*c_1001_4^10 + 2468/261*c_1001_4^9 - 4747/261*c_1001_4^8 + 2725/87*c_1001_4^7 - 10613/261*c_1001_4^6 + 1066/29*c_1001_4^5 - 5863/261*c_1001_4^4 + 2353/261*c_1001_4^3 - 583/261*c_1001_4^2 + 26/87*c_1001_4 - 4/261 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB