Magma V2.19-8 Tue Aug 20 2013 23:39:57 on localhost [Seed = 1014651022] Type ? for help. Type -D to quit. Loading file "K14n22589__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22589 geometric_solution 8.87815966 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 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 1 0 -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 0 0 0 0.509229276652 0.700663565870 0 5 2 6 0132 0132 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 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 0.371192406102 0.265779177460 7 0 8 1 0132 0132 0132 1302 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 -1 1 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 0.413152376108 0.716469016636 6 9 10 0 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598371716868 0.116005520011 10 6 0 8 2103 0132 0132 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 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 0 0 0 0 1.744071563181 1.991722937778 9 1 10 7 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.467098153843 1.076441041431 3 4 1 9 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031881207479 0.610421109970 2 9 5 8 0132 3012 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197249194287 1.179793321599 4 7 10 2 3012 0321 1302 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 1 -1 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 1.059601376444 0.774030088374 7 3 6 5 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345475248790 0.445114351581 8 5 4 3 2031 1230 2103 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 -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 0.624179980943 0.635657884502 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_10' : 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_10' : 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_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_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0011_8']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : d['c_0101_1'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 723586024398151611163958310513807891523529388293/223340644473242271\ 368777599701187195505359571*c_1001_0^11 + 1833368471655527702049086197874181203510483900924/22334064447324227\ 1368777599701187195505359571*c_1001_0^10 + 323646399318011134826533556997040571078978637361/223340644473242271\ 368777599701187195505359571*c_1001_0^9 - 45703810884826654218374511101337605193300792642/5447332792030299301\ 677502431736273061106331*c_1001_0^8 + 2759437954899063009084506416651585315389140509261/22334064447324227\ 1368777599701187195505359571*c_1001_0^7 - 44307914947291677845123904702539184763922408127/3145642879904820723\ 503909854946298528244501*c_1001_0^6 - 1373207343115763979423740864799418660206673319869/22334064447324227\ 1368777599701187195505359571*c_1001_0^5 + 3435569359073713371512989207010951697590859703744/22334064447324227\ 1368777599701187195505359571*c_1001_0^4 - 2852892137351611884737782050742965192847865988326/22334064447324227\ 1368777599701187195505359571*c_1001_0^3 + 540079393837605804979480174759802209304827368016/223340644473242271\ 368777599701187195505359571*c_1001_0^2 + 1298863646628443970719637458714588807561245320637/22334064447324227\ 1368777599701187195505359571*c_1001_0 + 246676594549035263981438647367028845148730545238/223340644473242271\ 368777599701187195505359571, c_0011_0 - 1, c_0011_10 + 11801094839110517866615945693533/30366164671819263596523570\ 64621*c_1001_0^11 - 35127389290059084996480638196551/30366164671819\ 26359652357064621*c_1001_0^10 + 8993077705026510423926388775593/303\ 6616467181926359652357064621*c_1001_0^9 + 30710813075296481061143503850165/3036616467181926359652357064621*c_\ 1001_0^8 - 59246673837918662876565296880284/30366164671819263596523\ 57064621*c_1001_0^7 + 73291367952715520972495031823568/303661646718\ 1926359652357064621*c_1001_0^6 - 6776896142045215987512961237355/30\ 36616467181926359652357064621*c_1001_0^5 - 62269978091493513071427972365449/3036616467181926359652357064621*c_\ 1001_0^4 + 73090709249086005911392720595446/30366164671819263596523\ 57064621*c_1001_0^3 - 36225290177383562308848046187484/303661646718\ 1926359652357064621*c_1001_0^2 - 10337037648899950816622785056938/3\ 036616467181926359652357064621*c_1001_0 + 51434442268213192624918698585/42769246016646850135948691051, c_0011_3 - 23881290530756670261196475055736/303661646718192635965235706\ 4621*c_1001_0^11 + 70428281166534422160196130527180/303661646718192\ 6359652357064621*c_1001_0^10 - 17484001528858912113786500427389/303\ 6616467181926359652357064621*c_1001_0^9 - 57559697275357465475052439172490/3036616467181926359652357064621*c_\ 1001_0^8 + 116077010981710101396211631895780/3036616467181926359652\ 357064621*c_1001_0^7 - 151015865587828141129074629916490/3036616467\ 181926359652357064621*c_1001_0^6 + 11351959712011254209325536879913/3036616467181926359652357064621*c_\ 1001_0^5 + 114853825630914981789884022968508/3036616467181926359652\ 357064621*c_1001_0^4 - 144482468877941483696783415947569/3036616467\ 181926359652357064621*c_1001_0^3 + 74248549739508965949760509982328/3036616467181926359652357064621*c_\ 1001_0^2 + 18583312025782226971484307155322/30366164671819263596523\ 57064621*c_1001_0 - 49591790639780822837883400379/42769246016646850\ 135948691051, c_0011_8 + 8065415371098788849184727668149/3036616467181926359652357064\ 621*c_1001_0^11 - 26106676188751195655342460866875/3036616467181926\ 359652357064621*c_1001_0^10 + 11908193224952937005674548283361/3036\ 616467181926359652357064621*c_1001_0^9 + 19402003432895036475409431605577/3036616467181926359652357064621*c_\ 1001_0^8 - 43734915301266326692076080151952/30366164671819263596523\ 57064621*c_1001_0^7 + 61230178872073515210711465013180/303661646718\ 1926359652357064621*c_1001_0^6 - 15867528120635437211910165495122/3\ 036616467181926359652357064621*c_1001_0^5 - 39319819763027770562196908966910/3036616467181926359652357064621*c_\ 1001_0^4 + 56435865496987093546891957522902/30366164671819263596523\ 57064621*c_1001_0^3 - 36639109776373994111435453577144/303661646718\ 1926359652357064621*c_1001_0^2 - 1346487210943455247988258289651/30\ 36616467181926359652357064621*c_1001_0 + 30280671404143895896717533400/42769246016646850135948691051, c_0101_0 - 697296116854574309631064132429/30366164671819263596523570646\ 21*c_1001_0^11 + 2604492300960159223714291444972/303661646718192635\ 9652357064621*c_1001_0^10 - 1495243306631214709128775294754/3036616\ 467181926359652357064621*c_1001_0^9 - 2578747767633019497776338202531/3036616467181926359652357064621*c_1\ 001_0^8 + 4734268640120300715761327355712/3036616467181926359652357\ 064621*c_1001_0^7 - 7865440550756321722407865131444/303661646718192\ 6359652357064621*c_1001_0^6 + 647413498796945610017868986731/303661\ 6467181926359652357064621*c_1001_0^5 + 6668565527362484265981979098141/3036616467181926359652357064621*c_1\ 001_0^4 - 6420747018638891710520020755023/3036616467181926359652357\ 064621*c_1001_0^3 + 5583351196703228364009476792674/303661646718192\ 6359652357064621*c_1001_0^2 + 3426805709307473054403533113874/30366\ 16467181926359652357064621*c_1001_0 - 22736253615545317042298213810/42769246016646850135948691051, c_0101_1 - 13235937426291179364041316441374/303661646718192635965235706\ 4621*c_1001_0^11 + 37215712964500629242162970368850/303661646718192\ 6359652357064621*c_1001_0^10 - 5053338611318239098700236220589/3036\ 616467181926359652357064621*c_1001_0^9 - 31922661056474302006242777549585/3036616467181926359652357064621*c_\ 1001_0^8 + 60677880994173225484122928116205/30366164671819263596523\ 57064621*c_1001_0^7 - 74984454960162435448310857966228/303661646718\ 1926359652357064621*c_1001_0^6 - 1850407320044508815904123115744/30\ 36616467181926359652357064621*c_1001_0^5 + 61694918072853198372745961247796/3036616467181926359652357064621*c_\ 1001_0^4 - 71283385023464764705613041028886/30366164671819263596523\ 57064621*c_1001_0^3 + 30795014621721494783110446964131/303661646718\ 1926359652357064621*c_1001_0^2 + 13038239142133919569514974054240/3\ 036616467181926359652357064621*c_1001_0 + 11047400635382066895160977332/42769246016646850135948691051, c_0101_3 - 26664451878795340898676530228110/303661646718192635965235706\ 4621*c_1001_0^11 + 78170056545441810591818806004612/303661646718192\ 6359652357064621*c_1001_0^10 - 17979362991954974009965963045216/303\ 6616467181926359652357064621*c_1001_0^9 - 65706294824923151300019090654281/3036616467181926359652357064621*c_\ 1001_0^8 + 128940549575702634888915242384735/3036616467181926359652\ 357064621*c_1001_0^7 - 163499212798955602997839639300703/3036616467\ 181926359652357064621*c_1001_0^6 + 8953114585026001597082513527750/3036616467181926359652357064621*c_1\ 001_0^5 + 130854294757282959365941637569063/30366164671819263596523\ 57064621*c_1001_0^4 - 157074913313142088780802553190891/30366164671\ 81926359652357064621*c_1001_0^3 + 73765051046235222428925647488228/\ 3036616467181926359652357064621*c_1001_0^2 + 24090970418965975662988569989540/3036616467181926359652357064621*c_\ 1001_0 - 54512088507135339025639574327/4276924601664685013594869105\ 1, c_0101_5 - 19729225595710995598778634411592/303661646718192635965235706\ 4621*c_1001_0^11 + 58605927293446835269540861352702/303661646718192\ 6359652357064621*c_1001_0^10 - 14787557736236208145151385398830/303\ 6616467181926359652357064621*c_1001_0^9 - 50270486758128280253912498034297/3036616467181926359652357064621*c_\ 1001_0^8 + 97523099424584006561897523120993/30366164671819263596523\ 57064621*c_1001_0^7 - 122384737484618363251435230464322/30366164671\ 81926359652357064621*c_1001_0^6 + 7404389402137793247134089751062/3\ 036616467181926359652357064621*c_1001_0^5 + 99764873628974338287552072630905/3036616467181926359652357064621*c_\ 1001_0^4 - 118896245781296341081367898815010/3036616467181926359652\ 357064621*c_1001_0^3 + 58028955006034219303713838486638/30366164671\ 81926359652357064621*c_1001_0^2 + 21022329155084438723517372118550/\ 3036616467181926359652357064621*c_1001_0 - 54541690871550790063431541573/42769246016646850135948691051, c_0101_7 + 2895909989232441533719985168296/3036616467181926359652357064\ 621*c_1001_0^11 - 6142440789846722424112320046069/30366164671819263\ 59652357064621*c_1001_0^10 - 3972599069313242164845943746947/303661\ 6467181926359652357064621*c_1001_0^9 + 6039320764083003151580148631742/3036616467181926359652357064621*c_1\ 001_0^8 - 8538578124303295834309781608942/3036616467181926359652357\ 064621*c_1001_0^7 + 9222116456911261819666514856508/303661646718192\ 6359652357064621*c_1001_0^6 + 11457333184330810832730895536295/3036\ 616467181926359652357064621*c_1001_0^5 - 9639570668767423991359860907557/3036616467181926359652357064621*c_1\ 001_0^4 + 6908561105757234169810810511408/3036616467181926359652357\ 064621*c_1001_0^3 + 849331425654913757141425067661/3036616467181926\ 359652357064621*c_1001_0^2 - 4907912716722425446070144090502/303661\ 6467181926359652357064621*c_1001_0 - 34483873814929234885960861322/42769246016646850135948691051, c_0101_9 + 16323544990092426642553632929041/303661646718192635965235706\ 4621*c_1001_0^11 - 47319455483058765072543085314297/303661646718192\ 6359652357064621*c_1001_0^10 + 10099626588140247188084151806556/303\ 6616467181926359652357064621*c_1001_0^9 + 38337846760910964162018418134729/3036616467181926359652357064621*c_\ 1001_0^8 - 76471754855039617314712858890235/30366164671819263596523\ 57064621*c_1001_0^7 + 99444792638168718218763493788996/303661646718\ 1926359652357064621*c_1001_0^6 - 5713598696075559192419065285815/30\ 36616467181926359652357064621*c_1001_0^5 - 76197705136448025562134879606948/3036616467181926359652357064621*c_\ 1001_0^4 + 92949824710170760802278013110720/30366164671819263596523\ 57064621*c_1001_0^3 - 46812224875797586345641718784448/303661646718\ 1926359652357064621*c_1001_0^2 - 12357616262828750001821585175112/3\ 036616467181926359652357064621*c_1001_0 + 6020480001782893851150725549/42769246016646850135948691051, c_1001_0^12 - 80/29*c_1001_0^11 + 98/841*c_1001_0^10 + 2276/841*c_1001_0^9 - 3697/841*c_1001_0^8 + 4366/841*c_1001_0^7 + 794/841*c_1001_0^6 - 4376/841*c_1001_0^5 + 5*c_1001_0^4 - 1352/841*c_1001_0^3 - 1387/841*c_1001_0^2 + 62/841*c_1001_0 + 71/841 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.550 seconds, Total memory usage: 32.09MB