Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 1124261500] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3524 geometric_solution 6.84293712 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358645140113 0.747595107063 3 2 4 0 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.841226981383 1.070007885724 1 5 0 4 1230 0132 0132 3201 0 0 0 0 0 1 -1 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 -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 0.841226981383 1.070007885724 1 5 6 5 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427841152373 0.793848147102 6 2 6 1 1230 2310 0321 0132 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 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 0.268521940665 0.608667179508 3 2 3 6 1023 0132 1230 2310 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 1 0 -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 0.427841152373 0.793848147102 5 4 4 3 3201 3012 0321 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 -1 0 1 0 0 0 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 0.152526506503 0.757614774164 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_0_6' : 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_6' : d['c_1001_4'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_1001_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_1001_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 144481699059387198868279432762/3146256678651817897535474243*c_1001_\ 4^18 - 1222650207748491364447376477487/3146256678651817897535474243\ *c_1001_4^17 - 392580321420713774911344581636/314625667865181789753\ 5474243*c_1001_4^16 + 8608611214492045729433683610070/3146256678651\ 817897535474243*c_1001_4^15 - 7065812936830597629789592491477/31462\ 56678651817897535474243*c_1001_4^14 + 8882033072975876336965381218083/3146256678651817897535474243*c_1001\ _4^13 - 27592566117947836244276149954769/31462566786518178975354742\ 43*c_1001_4^12 - 3227014132830659092725439584443/314625667865181789\ 7535474243*c_1001_4^11 + 14725144980824672599175626331978/314625667\ 8651817897535474243*c_1001_4^10 + 60039106380817421068222693513863/\ 3146256678651817897535474243*c_1001_4^9 - 70806297370527060505328386767535/3146256678651817897535474243*c_100\ 1_4^8 + 18115204741142243794489258833639/31462566786518178975354742\ 43*c_1001_4^7 + 600700931937152322915604757257/31462566786518178975\ 35474243*c_1001_4^6 - 13221529845537306585384027381985/314625667865\ 1817897535474243*c_1001_4^5 + 15697991384317941184745955015516/3146\ 256678651817897535474243*c_1001_4^4 - 2155562150517179571927323292157/3146256678651817897535474243*c_1001\ _4^3 - 1292893353824008139111369345126/3146256678651817897535474243\ *c_1001_4^2 - 214602505911452523410797691653/3146256678651817897535\ 474243*c_1001_4 + 288631995421646357875948565658/314625667865181789\ 7535474243, c_0011_0 - 1, c_0011_1 - 762583450484044972790044448/3146256678651817897535474243*c_1\ 001_4^18 + 6868955526364688796627189334/314625667865181789753547424\ 3*c_1001_4^17 - 1416615168196250949955911479/3146256678651817897535\ 474243*c_1001_4^16 - 46705841353186029427243673871/3146256678651817\ 897535474243*c_1001_4^15 + 61152098774368968853795556916/3146256678\ 651817897535474243*c_1001_4^14 - 66427312098734301794798820117/3146\ 256678651817897535474243*c_1001_4^13 + 175304719775696220842582795579/3146256678651817897535474243*c_1001_\ 4^12 - 61784012606774443815158239584/3146256678651817897535474243*c\ _1001_4^11 - 86075673194376973591770379939/314625667865181789753547\ 4243*c_1001_4^10 - 288702626580157553627226954874/31462566786518178\ 97535474243*c_1001_4^9 + 537256829872698559447887298711/31462566786\ 51817897535474243*c_1001_4^8 - 287363639577305357722539260032/31462\ 56678651817897535474243*c_1001_4^7 + 70996582411286131970710800663/3146256678651817897535474243*c_1001_4\ ^6 + 45778259964749680551852952728/3146256678651817897535474243*c_1\ 001_4^5 - 124380280092293845284214744461/31462566786518178975354742\ 43*c_1001_4^4 + 62209552760415897955391682076/314625667865181789753\ 5474243*c_1001_4^3 - 3745395583936417860577550781/31462566786518178\ 97535474243*c_1001_4^2 + 2073243073030039205376812046/3146256678651\ 817897535474243*c_1001_4 - 1007783937199935566662294202/31462566786\ 51817897535474243, c_0011_4 + 1406253653361898988449850606/3146256678651817897535474243*c_\ 1001_4^18 - 11158734597597432582670506649/3146256678651817897535474\ 243*c_1001_4^17 - 9663926563845310559713711668/31462566786518178975\ 35474243*c_1001_4^16 + 78432173033009755452957025235/31462566786518\ 17897535474243*c_1001_4^15 - 28153386026466013436857075048/31462566\ 78651817897535474243*c_1001_4^14 + 73320026867790287426272863760/3146256678651817897535474243*c_1001_4\ ^13 - 227579046222851373063432705406/3146256678651817897535474243*c\ _1001_4^12 - 149617730105365995440362352137/31462566786518178975354\ 74243*c_1001_4^11 + 61153670876782168834305804156/31462566786518178\ 97535474243*c_1001_4^10 + 603750640706197651244412330515/3146256678\ 651817897535474243*c_1001_4^9 - 377795382559096093248508326527/3146\ 256678651817897535474243*c_1001_4^8 - 6359813907461240063264609516/3146256678651817897535474243*c_1001_4^\ 7 + 16476109399377445624682312455/3146256678651817897535474243*c_10\ 01_4^6 - 129696720783595055985870045228/314625667865181789753547424\ 3*c_1001_4^5 + 84927211410949375283306283362/3146256678651817897535\ 474243*c_1001_4^4 + 20591128998565850287776941216/31462566786518178\ 97535474243*c_1001_4^3 - 6996422793442158176005080648/3146256678651\ 817897535474243*c_1001_4^2 - 4226977011371004319954236582/314625667\ 8651817897535474243*c_1001_4 + 1756949532921905920920199398/3146256\ 678651817897535474243, c_0011_6 - c_1001_4, c_0101_0 - 880978916477195482846767200/3146256678651817897535474243*c_1\ 001_4^18 + 6990689364911544216704572118/314625667865181789753547424\ 3*c_1001_4^17 + 6148226341883100929072068737/3146256678651817897535\ 474243*c_1001_4^16 - 49802664222773499319509506089/3146256678651817\ 897535474243*c_1001_4^15 + 16331801554322544057597314935/3146256678\ 651817897535474243*c_1001_4^14 - 41218017025075445908444481138/3146\ 256678651817897535474243*c_1001_4^13 + 145330129992165595612243773325/3146256678651817897535474243*c_1001_\ 4^12 + 96969530660133657066015374352/3146256678651817897535474243*c\ _1001_4^11 - 49318128988765987891393075997/314625667865181789753547\ 4243*c_1001_4^10 - 402261454471731025917294433066/31462566786518178\ 97535474243*c_1001_4^9 + 232626281071640865217724514587/31462566786\ 51817897535474243*c_1001_4^8 + 47630511322682699116677099023/314625\ 6678651817897535474243*c_1001_4^7 + 1582476234982931679923697373/3146256678651817897535474243*c_1001_4^\ 6 + 56683860133319505532456654802/3146256678651817897535474243*c_10\ 01_4^5 - 52446838243114890980079637386/3146256678651817897535474243\ *c_1001_4^4 - 22871806392774602983143262769/31462566786518178975354\ 74243*c_1001_4^3 + 6944125868070158321126414020/3146256678651817897\ 535474243*c_1001_4^2 + 8489002018794069386969689110/314625667865181\ 7897535474243*c_1001_4 - 118027447564127610609049484/31462566786518\ 17897535474243, c_0101_4 - 454674368522191437795195416/3146256678651817897535474243*c_1\ 001_4^18 + 4626026511927734938395528890/314625667865181789753547424\ 3*c_1001_4^17 - 5110875169541798571471238965/3146256678651817897535\ 474243*c_1001_4^16 - 31036878477188027232450154336/3146256678651817\ 897535474243*c_1001_4^15 + 66430306706553138154288401945/3146256678\ 651817897535474243*c_1001_4^14 - 53928329183688976739929494432/3146\ 256678651817897535474243*c_1001_4^13 + 132762317280252917694784032403/3146256678651817897535474243*c_1001_\ 4^12 - 122914478239390576250947480081/3146256678651817897535474243*\ c_1001_4^11 - 95786859624275427934246282934/31462566786518178975354\ 74243*c_1001_4^10 - 139230021003916904508208075299/3146256678651817\ 897535474243*c_1001_4^9 + 538914520787250404978282116774/3146256678\ 651817897535474243*c_1001_4^8 - 353720253379016474437979805057/3146\ 256678651817897535474243*c_1001_4^7 + 45876971613182802050794937849/3146256678651817897535474243*c_1001_4\ ^6 + 49671576083746010609219370756/3146256678651817897535474243*c_1\ 001_4^5 - 117208216718650711821065659316/31462566786518178975354742\ 43*c_1001_4^4 + 73966341688213652653140144346/314625667865181789753\ 5474243*c_1001_4^3 + 5106994261272391985536721878/31462566786518178\ 97535474243*c_1001_4^2 - 4423818396614622819827666263/3146256678651\ 817897535474243*c_1001_4 - 2209561134203134417380214540/31462566786\ 51817897535474243, c_1001_4^19 - 17/2*c_1001_4^18 - 5/2*c_1001_4^17 + 121/2*c_1001_4^16 - 101/2*c_1001_4^15 + 115/2*c_1001_4^14 - 191*c_1001_4^13 - 20*c_1001_4^12 + 120*c_1001_4^11 + 422*c_1001_4^10 - 1025/2*c_1001_4^9 + 195/2*c_1001_4^8 + 57/2*c_1001_4^7 - 88*c_1001_4^6 + 225/2*c_1001_4^5 - 21/2*c_1001_4^4 - 16*c_1001_4^3 - 3*c_1001_4^2 + 2*c_1001_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB