Magma V2.19-8 Wed Aug 21 2013 00:56:58 on localhost [Seed = 4038519335] Type ? for help. Type -D to quit. Loading file "L13n3191__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3191 geometric_solution 11.91846510 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -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 1 4 -5 -4 0 4 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 0.556421848511 1.031756182763 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 4 0 -4 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 0.103269651719 0.828322528485 6 0 9 8 0132 0132 0132 0132 1 1 0 1 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 -1 1 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 0.882410703334 0.978441484715 10 5 7 0 0132 1230 1302 0132 1 1 0 1 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 0 0 4 -4 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797402392644 1.262027301743 10 7 0 9 3012 0132 0132 3120 1 1 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 0 0 0 0 0 0 5 -5 5 0 0 -5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266691451102 0.825168213633 11 1 3 9 0132 0132 3012 0321 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 0 0 0 0 0 0 0 0 0 0 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 0.634508430684 0.423783350040 2 12 1 8 0132 0132 0132 0213 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 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 0.460134010365 0.777891456250 3 4 11 1 2031 0132 1023 0132 1 1 1 1 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 -4 0 0 4 -1 0 0 1 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332028280993 0.925562026289 10 11 2 6 2103 1302 0132 0213 1 1 1 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 0.473887963984 0.987692834481 4 5 12 2 3120 0321 0321 0132 1 1 1 1 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 1 0 -1 5 0 -5 0 1 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058619846522 0.989685145832 3 12 8 4 0132 1302 2103 1230 1 1 1 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 5 0 -5 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 0.328145097358 0.409864131831 5 12 7 8 0132 1023 1023 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047529275678 1.085498100753 11 6 9 10 1023 0132 0321 2031 1 1 0 1 0 0 0 0 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 0 0 0 0 0 5 -5 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656266139591 0.353905230589 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_0'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(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_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_1010_8'], 'c_1100_6' : d['c_1010_8'], 'c_1100_1' : d['c_1010_8'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_8']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_1001_12'], 's_3_1' : negation(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'], 'c_1100_12' : negation(d['c_0101_1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], '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_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_2']), '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_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_1001_1, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 63215158811626729652717723545/1878199837067338984533573931802*c_101\ 0_8^11 + 397652176557239629347859804500/939099918533669492266786965\ 901*c_1010_8^10 - 1524659253883028671145397456630/93909991853366949\ 2266786965901*c_1010_8^9 + 4319774753058268906559923503691/18781998\ 37067338984533573931802*c_1010_8^8 - 422720137540606730535439523445/1878199837067338984533573931802*c_10\ 10_8^7 - 5430157531127586419843780149475/18781998370673389845335739\ 31802*c_1010_8^6 + 5344308657365881013645281775508/9390999185336694\ 92266786965901*c_1010_8^5 - 422721285747307892013711716753/17074543\ 9733394453139415811982*c_1010_8^4 - 26555791742593900630913515068113/1878199837067338984533573931802*c_\ 1010_8^3 + 26769648664136323426482709029605/18781998370673389845335\ 73931802*c_1010_8^2 - 3915232540666760187538895938995/1878199837067\ 338984533573931802*c_1010_8 + 17906941711926085043190919892901/1878\ 199837067338984533573931802, c_0011_0 - 1, c_0011_10 - 111894012491871/9892247886887209*c_1010_8^11 + 1111920838116865/9892247886887209*c_1010_8^10 - 2250418440557303/9892247886887209*c_1010_8^9 - 504495640136440/9892247886887209*c_1010_8^8 + 3542681640484576/9892247886887209*c_1010_8^7 - 2767912138211652/9892247886887209*c_1010_8^6 + 5648612962887300/9892247886887209*c_1010_8^5 + 17121951277511914/9892247886887209*c_1010_8^4 - 18433502728113636/9892247886887209*c_1010_8^3 - 30483791947885951/9892247886887209*c_1010_8^2 - 19918328627942967/9892247886887209*c_1010_8 - 13665663950974848/9892247886887209, c_0011_4 - 133229391454405/9892247886887209*c_1010_8^11 + 1441939444223120/9892247886887209*c_1010_8^10 - 3927692413490846/9892247886887209*c_1010_8^9 + 2531717585220012/9892247886887209*c_1010_8^8 + 3180023689939615/9892247886887209*c_1010_8^7 - 7417080903018707/9892247886887209*c_1010_8^6 + 11604949349274638/9892247886887209*c_1010_8^5 + 15058915687044036/9892247886887209*c_1010_8^4 - 38820350036338606/9892247886887209*c_1010_8^3 - 3444420168111456/9892247886887209*c_1010_8^2 - 9115444949738323/9892247886887209*c_1010_8 - 10758077263772048/9892247886887209, c_0011_8 + 8804681839620/9892247886887209*c_1010_8^11 - 75658877047030/9892247886887209*c_1010_8^10 + 92310750579982/9892247886887209*c_1010_8^9 - 70499815532124/9892247886887209*c_1010_8^8 + 704205629725557/9892247886887209*c_1010_8^7 - 783535957799809/9892247886887209*c_1010_8^6 - 1749384632985675/9892247886887209*c_1010_8^5 + 1529565462181479/9892247886887209*c_1010_8^4 - 5534751010835098/9892247886887209*c_1010_8^3 + 3266566784158043/9892247886887209*c_1010_8^2 + 9660887654767896/9892247886887209*c_1010_8 + 4290615260247626/9892247886887209, c_0011_9 - 54381551262878/9892247886887209*c_1010_8^11 + 490078640800768/9892247886887209*c_1010_8^10 - 553423720044062/9892247886887209*c_1010_8^9 - 1588248287641918/9892247886887209*c_1010_8^8 + 1652706087551114/9892247886887209*c_1010_8^7 + 1510218281063852/9892247886887209*c_1010_8^6 + 1047269092531293/9892247886887209*c_1010_8^5 + 10364463575579084/9892247886887209*c_1010_8^4 - 4475714737706515/9892247886887209*c_1010_8^3 - 29463306201993247/9892247886887209*c_1010_8^2 - 12526049981785748/9892247886887209*c_1010_8 - 9349538175289346/9892247886887209, c_0101_0 - 73903129487590/9892247886887209*c_1010_8^11 + 741212847415004/9892247886887209*c_1010_8^10 - 1518838348935370/9892247886887209*c_1010_8^9 - 545921365445595/9892247886887209*c_1010_8^8 + 3189665372638232/9892247886887209*c_1010_8^7 - 3028993352035521/9892247886887209*c_1010_8^6 + 5474234027592394/9892247886887209*c_1010_8^5 + 9728206685902296/9892247886887209*c_1010_8^4 - 15733487802562340/9892247886887209*c_1010_8^3 - 15036683248559251/9892247886887209*c_1010_8^2 - 18509786337252489/9892247886887209*c_1010_8 - 77720893095491/9892247886887209, c_0101_1 - 1, c_0101_12 + 152095031140767/9892247886887209*c_1010_8^11 - 1482141332271107/9892247886887209*c_1010_8^10 + 2718820713906557/9892247886887209*c_1010_8^9 + 1807853543937102/9892247886887209*c_1010_8^8 - 6196616924491184/9892247886887209*c_1010_8^7 + 4412404297137506/9892247886887209*c_1010_8^6 - 7448448993712094/9892247886887209*c_1010_8^5 - 26819289466684532/9892247886887209*c_1010_8^4 + 27008322677861519/9892247886887209*c_1010_8^3 + 46486321754257643/9892247886887209*c_1010_8^2 + 20653582859720731/9892247886887209*c_1010_8 + 21028873594745754/9892247886887209, c_0101_2 + 107287173749581/9892247886887209*c_1010_8^11 - 974667010456289/9892247886887209*c_1010_8^10 + 1196627367055950/9892247886887209*c_1010_8^9 + 2882317711506120/9892247886887209*c_1010_8^8 - 4588860300771692/9892247886887209*c_1010_8^7 + 1730786540892994/9892247886887209*c_1010_8^6 - 3426370884227835/9892247886887209*c_1010_8^5 - 25340709566716571/9892247886887209*c_1010_8^4 + 12598804900755422/9892247886887209*c_1010_8^3 + 41236045085602149/9892247886887209*c_1010_8^2 + 33801246922272139/9892247886887209*c_1010_8 + 35425356964423111/9892247886887209, c_0101_5 - 40201018648896/9892247886887209*c_1010_8^11 + 370220494154242/9892247886887209*c_1010_8^10 - 468402273349254/9892247886887209*c_1010_8^9 - 1303357903800662/9892247886887209*c_1010_8^8 + 2653935284006608/9892247886887209*c_1010_8^7 - 1644492158925854/9892247886887209*c_1010_8^6 + 1799836030824794/9892247886887209*c_1010_8^5 + 9697338189172618/9892247886887209*c_1010_8^4 - 8574819949747883/9892247886887209*c_1010_8^3 - 16002529806371692/9892247886887209*c_1010_8^2 - 10627502118664973/9892247886887209*c_1010_8 - 7363209643770906/9892247886887209, c_1001_1 + 159912242044294/9892247886887209*c_1010_8^11 - 1619657949044266/9892247886887209*c_1010_8^10 + 3577429750393731/9892247886887209*c_1010_8^9 - 522607032766091/9892247886887209*c_1010_8^8 - 3558783748155702/9892247886887209*c_1010_8^7 + 4969325428030062/9892247886887209*c_1010_8^6 - 13356549304746971/9892247886887209*c_1010_8^5 - 20255627984229214/9892247886887209*c_1010_8^4 + 33671378819022542/9892247886887209*c_1010_8^3 + 21520949845755188/9892247886887209*c_1010_8^2 + 39087399681489334/9892247886887209*c_1010_8 + 19841713869962054/9892247886887209, c_1001_12 - 33702110838694/9892247886887209*c_1010_8^11 + 370992353260762/9892247886887209*c_1010_8^10 - 1050436075586116/9892247886887209*c_1010_8^9 + 757436538355067/9892247886887209*c_1010_8^8 + 535730088631624/9892247886887209*c_1010_8^7 - 1384501193109667/9892247886887209*c_1010_8^6 + 3674397996767600/9892247886887209*c_1010_8^5 + 30868496729678/9892247886887209*c_1010_8^4 - 7158667852814457/9892247886887209*c_1010_8^3 + 965846557812441/9892247886887209*c_1010_8^2 - 7882284218587516/9892247886887209*c_1010_8 - 2606759136211794/9892247886887209, c_1010_8^12 - 12*c_1010_8^11 + 41*c_1010_8^10 - 41*c_1010_8^9 - 32*c_1010_8^8 + 93*c_1010_8^7 - 129*c_1010_8^6 - 18*c_1010_8^5 + 468*c_1010_8^4 - 206*c_1010_8^3 - 153*c_1010_8^2 - 212*c_1010_8 - 239 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB