Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 964208091] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0577 geometric_solution 4.59753524 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504589120770 0.425387045055 2 0 3 0 0132 2310 0132 0132 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 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336938757261 0.551247235111 1 3 3 4 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156124296719 0.666127141897 4 2 2 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 1 0 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 1.156124296719 0.666127141897 5 5 2 3 0132 3201 0132 2310 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 -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 0.414363059917 0.764299732762 4 6 4 6 0132 0132 2310 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.433511777077 0.971792105602 5 5 6 6 3201 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380848657289 0.044953069733 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 17705280789930464637229684202453/3620326940261825339447258060416*c_\ 0110_6^19 - 8550943990338648783120758357607595/36203269402618253394\ 47258060416*c_0110_6^17 + 19709184346120612230751856243097133/90508\ 1735065456334861814515104*c_0110_6^15 - 149878549318503961011089848667972015/362032694026182533944725806041\ 6*c_0110_6^13 + 114557426102080961538157394087521217/36203269402618\ 25339447258060416*c_0110_6^11 - 59700543812534592782599882953017140\ 7/1810163470130912669723629030208*c_0110_6^9 + 96656950973497462251156437782436359/226270433766364083715453628776*\ c_0110_6^7 - 205299392288885231702014981293310451/36203269402618253\ 39447258060416*c_0110_6^5 - 159389093809646547925141886818853859/36\ 20326940261825339447258060416*c_0110_6^3 - 4004617886936704413047856138353725/905081735065456334861814515104*c\ _0110_6, c_0011_0 - 1, c_0011_1 - 22193931563090446645005167/113135216883182041857726814388*c_\ 0110_6^18 + 10742012906962668376304355721/1131352168831820418577268\ 14388*c_0110_6^16 - 27509426537578273729719056138/28283804220795510\ 464431703597*c_0110_6^14 + 288998983490781905975480413133/113135216\ 883182041857726814388*c_0110_6^12 - 320067010618247227293911101235/113135216883182041857726814388*c_011\ 0_6^10 + 808652885082217130308177437965/565676084415910209288634071\ 94*c_0110_6^8 - 873379922563072543586359191224/28283804220795510464\ 431703597*c_0110_6^6 + 1972617256913575161956124187533/113135216883\ 182041857726814388*c_0110_6^4 + 208932162939291932276393738605/1131\ 35216883182041857726814388*c_0110_6^2 - 18815647027751379708352356989/28283804220795510464431703597, c_0011_4 - 16403778133832151900029299/113135216883182041857726814388*c_\ 0110_6^18 + 7905271764405592908330123913/11313521688318204185772681\ 4388*c_0110_6^16 - 16196547479870925636436917223/282838042207955104\ 64431703597*c_0110_6^14 + 63943242123209237870886666997/11313521688\ 3182041857726814388*c_0110_6^12 + 28491686276580855894413255245/113\ 135216883182041857726814388*c_0110_6^10 + 503125072918191233945010045121/56567608441591020928863407194*c_0110\ _6^8 - 67806572980040080205427760517/28283804220795510464431703597*\ c_0110_6^6 - 1159270388379870455345272699579/1131352168831820418577\ 26814388*c_0110_6^4 + 320949455998976281475433089749/11313521688318\ 2041857726814388*c_0110_6^2 + 5949105964312739497937721363/28283804\ 220795510464431703597, c_0101_0 - 138520583768170457736233551/113135216883182041857726814388*c\ _0110_6^19 + 66959578549572310505882128695/113135216883182041857726\ 814388*c_0110_6^17 - 322817937195862917089623779207/565676084415910\ 20928863407194*c_0110_6^15 + 1450841816140664467012076783753/113135\ 216883182041857726814388*c_0110_6^13 - 1512705492341798385804021065601/113135216883182041857726814388*c_01\ 10_6^11 + 2477487574191689344217447279101/2828380422079551046443170\ 3597*c_0110_6^9 - 4061561613715845037028202803466/28283804220795510\ 464431703597*c_0110_6^7 + 8555685779533122972585060439053/113135216\ 883182041857726814388*c_0110_6^5 - 1121182453112583887884671851221/113135216883182041857726814388*c_01\ 10_6^3 - 177242820282892455403322258791/565676084415910209288634071\ 94*c_0110_6, c_0101_1 + 109781508053864180350718633/113135216883182041857726814388*c\ _0110_6^18 - 53033602519611793232464212335/113135216883182041857726\ 814388*c_0110_6^16 + 123840806495389435602897855518/282838042207955\ 10464431703597*c_0110_6^14 - 993808934012501135980270024827/1131352\ 16883182041857726814388*c_0110_6^12 + 862688370947296350038793015217/113135216883182041857726814388*c_011\ 0_6^10 - 3775270830144757115649662893173/56567608441591020928863407\ 194*c_0110_6^8 + 2634057453935520623039903571120/282838042207955104\ 64431703597*c_0110_6^6 - 3043003466995664336434832788719/1131352168\ 83182041857726814388*c_0110_6^4 - 343497304482891674087353029959/11\ 3135216883182041857726814388*c_0110_6^2 + 1411015507963025434901154667/28283804220795510464431703597, c_0101_3 - 107551596909602440249544385/28283804220795510464431703597*c_\ 0110_6^19 + 51955366615184386278973276039/2828380422079551046443170\ 3597*c_0110_6^17 - 484804969055646053293232326346/28283804220795510\ 464431703597*c_0110_6^15 + 963481312294436633816818394309/282838042\ 20795510464431703597*c_0110_6^13 - 787138034646982835823387803675/28283804220795510464431703597*c_0110\ _6^11 + 7315720413483517322980190164257/282838042207955104644317035\ 97*c_0110_6^9 - 10210669565758832940218063824735/282838042207955104\ 64431703597*c_0110_6^7 + 2117381897040121188464815194378/2828380422\ 0795510464431703597*c_0110_6^5 + 940521714536910738834286903395/282\ 83804220795510464431703597*c_0110_6^3 + 26094038766098993329258999446/28283804220795510464431703597*c_0110_\ 6, c_0110_6^20 - 483*c_0110_6^18 + 4472*c_0110_6^16 - 8643*c_0110_6^14 + 6809*c_0110_6^12 - 67698*c_0110_6^10 + 90040*c_0110_6^8 - 15095*c_0110_6^6 - 8523*c_0110_6^4 - 544*c_0110_6^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB