Magma V2.19-8 Tue Aug 20 2013 17:56:36 on localhost [Seed = 947489814] Type ? for help. Type -D to quit. Loading file "9_21__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_21 geometric_solution 10.18326554 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 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 1 -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 0.173345832917 1.216440963865 0 4 5 2 0132 0132 0132 1023 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409828832671 1.193716626615 6 0 3 1 0132 0132 3201 1023 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 -1 1 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 0.310934793348 0.512373220704 2 6 0 0 2310 2310 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 -1 0 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173345832917 1.216440963865 7 1 8 9 0132 0132 0132 0132 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 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945552290521 0.673136627185 7 8 6 1 2031 0132 1023 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 1 -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 0.188011550228 0.831475590210 2 7 5 3 0132 0132 1023 3201 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 0 -1 0 0 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409828832671 1.193716626615 4 6 5 10 0132 0132 1302 0132 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 -1 0 1 0 0 -1 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 0.547417793103 0.489648883453 10 5 9 4 0132 0132 0213 0132 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 -1 1 0 1 0 -1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455054273708 0.337329138829 10 8 4 10 1302 0213 0132 2103 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 -1 0 1 2 0 0 -2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776715984092 0.609522322925 8 9 7 9 0132 2031 0132 2103 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 -1 0 -1 2 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529896083899 1.446514165620 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : d['c_0011_9'], '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_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0011_9']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0101_5'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_10' : d['c_0011_9'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_10'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_0'])})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 14222105045622125605244255/260410479763803406471233*c_1001_1^20 - 101527979916417094330242581/260410479763803406471233*c_1001_1^19 + 398291932444254274561396187/260410479763803406471233*c_1001_1^18 - 840509359066578234612587170/260410479763803406471233*c_1001_1^17 + 1283926718385281345890106873/260410479763803406471233*c_1001_1^16 - 1546981743577358526093262873/260410479763803406471233*c_1001_1^15 + 239378878003613094568493956/28934497751533711830137*c_1001_1^14 - 574852973078327004727189726/260410479763803406471233*c_1001_1^13 + 159271418034578021542130474/28934497751533711830137*c_1001_1^12 + 1524452273013977020383942332/260410479763803406471233*c_1001_1^11 + 176494228797571021467052117/86803493254601135490411*c_1001_1^10 + 466886644925147306202710000/86803493254601135490411*c_1001_1^9 - 262537255311664236117714400/86803493254601135490411*c_1001_1^8 - 1283035027534035535192417181/260410479763803406471233*c_1001_1^7 - 1265428236267152375465775149/260410479763803406471233*c_1001_1^6 - 2571752751981582848594022328/260410479763803406471233*c_1001_1^5 - 1284185089652624855015192326/260410479763803406471233*c_1001_1^4 - 1432632938321997371589488114/260410479763803406471233*c_1001_1^3 - 57467655307367821497977057/28934497751533711830137*c_1001_1^2 - 381081681488031682539577939/260410479763803406471233*c_1001_1 - 141991157046614653762521104/260410479763803406471233, c_0011_0 - 1, c_0011_10 - 7373337388091516699041/28934497751533711830137*c_1001_1^20 + 47100624043421360523369/28934497751533711830137*c_1001_1^19 - 173140885525761608182781/28934497751533711830137*c_1001_1^18 + 318425156806941511827913/28934497751533711830137*c_1001_1^17 - 473174572349108025627669/28934497751533711830137*c_1001_1^16 + 532716298417098438433264/28934497751533711830137*c_1001_1^15 - 850050007911325658617720/28934497751533711830137*c_1001_1^14 - 188674731925151024258050/28934497751533711830137*c_1001_1^13 - 1121792475688199947644005/28934497751533711830137*c_1001_1^12 - 1697015509564450092880397/28934497751533711830137*c_1001_1^11 - 1887355857923924689000703/28934497751533711830137*c_1001_1^10 - 2689009577540055251244084/28934497751533711830137*c_1001_1^9 - 2231728775753327656630602/28934497751533711830137*c_1001_1^8 - 1928786486826425308949572/28934497751533711830137*c_1001_1^7 - 1662754663837463276034435/28934497751533711830137*c_1001_1^6 - 691370779286860110215341/28934497751533711830137*c_1001_1^5 - 561984433043244057790327/28934497751533711830137*c_1001_1^4 - 88475910061625663838006/28934497751533711830137*c_1001_1^3 - 128556213356122760674550/28934497751533711830137*c_1001_1^2 - 3241210045622068492392/28934497751533711830137*c_1001_1 - 772185391942394354733/28934497751533711830137, c_0011_3 - 1, c_0011_9 + 10178225646774347225638/28934497751533711830137*c_1001_1^20 - 64953829849798695489348/28934497751533711830137*c_1001_1^19 + 237958171618444664329610/28934497751533711830137*c_1001_1^18 - 434141581996728730379970/28934497751533711830137*c_1001_1^17 + 637142544722534212350712/28934497751533711830137*c_1001_1^16 - 711283793059475399051542/28934497751533711830137*c_1001_1^15 + 1147262998837516278416483/28934497751533711830137*c_1001_1^14 + 286435788204764254904264/28934497751533711830137*c_1001_1^13 + 1510658331793042617476033/28934497751533711830137*c_1001_1^12 + 2294861644818411805281791/28934497751533711830137*c_1001_1^11 + 2567352094087140377542956/28934497751533711830137*c_1001_1^10 + 3627855098033751974900841/28934497751533711830137*c_1001_1^9 + 3008844710705100143673821/28934497751533711830137*c_1001_1^8 + 2613663193486691242259417/28934497751533711830137*c_1001_1^7 + 2245630711256960321187122/28934497751533711830137*c_1001_1^6 + 1025863217450931187374544/28934497751533711830137*c_1001_1^5 + 814519971888417664896874/28934497751533711830137*c_1001_1^4 + 161047966913999502334420/28934497751533711830137*c_1001_1^3 + 191494342833108894991079/28934497751533711830137*c_1001_1^2 + 3286919800133317943228/28934497751533711830137*c_1001_1 - 14397430382481555057518/28934497751533711830137, c_0101_0 - 28162312359591317475404/28934497751533711830137*c_1001_1^20 + 176347211545639421551465/28934497751533711830137*c_1001_1^19 - 638509183594839027506853/28934497751533711830137*c_1001_1^18 + 1130659505751866402346517/28934497751533711830137*c_1001_1^17 - 1642053837707733433171901/28934497751533711830137*c_1001_1^16 + 1768640940890308629496253/28934497751533711830137*c_1001_1^15 - 2926512848982360423842604/28934497751533711830137*c_1001_1^14 - 1205798794338840517086772/28934497751533711830137*c_1001_1^13 - 4317295245609459771806590/28934497751533711830137*c_1001_1^12 - 7101602733312464755173963/28934497751533711830137*c_1001_1^11 - 8131631503932919706035599/28934497751533711830137*c_1001_1^10 - 11292606326364811889488369/28934497751533711830137*c_1001_1^9 - 10153004858433585517540140/28934497751533711830137*c_1001_1^8 - 8807897669206468793727766/28934497751533711830137*c_1001_1^7 - 7646399715434622632687788/28934497751533711830137*c_1001_1^6 - 3828896246282843631669345/28934497751533711830137*c_1001_1^5 - 2744431328583280621783947/28934497751533711830137*c_1001_1^4 - 789806560217139181029065/28934497751533711830137*c_1001_1^3 - 474770337130200685670074/28934497751533711830137*c_1001_1^2 - 13027533833776221057203/28934497751533711830137*c_1001_1 + 87728147124396020918604/28934497751533711830137, c_0101_1 + 3080403991610742318481/28934497751533711830137*c_1001_1^20 - 16865284533367665093204/28934497751533711830137*c_1001_1^19 + 55705776383440013992095/28934497751533711830137*c_1001_1^18 - 77085817773176512411848/28934497751533711830137*c_1001_1^17 + 117374761710707697308910/28934497751533711830137*c_1001_1^16 - 135296444679200788212823/28934497751533711830137*c_1001_1^15 + 301471963317431513313889/28934497751533711830137*c_1001_1^14 + 211928309835940612304668/28934497751533711830137*c_1001_1^13 + 797985549533427806068669/28934497751533711830137*c_1001_1^12 + 1011978052070363643586405/28934497751533711830137*c_1001_1^11 + 1558220468361934231074750/28934497751533711830137*c_1001_1^10 + 1929220085455428244512132/28934497751533711830137*c_1001_1^9 + 1901683795774635218800029/28934497751533711830137*c_1001_1^8 + 1745219365421769397242489/28934497751533711830137*c_1001_1^7 + 1270366713106156667843594/28934497751533711830137*c_1001_1^6 + 774894773989483873811180/28934497751533711830137*c_1001_1^5 + 451354684972458232451702/28934497751533711830137*c_1001_1^4 + 99764572172811008516025/28934497751533711830137*c_1001_1^3 + 91864875820910244723630/28934497751533711830137*c_1001_1^2 - 4854998577955001905357/28934497751533711830137*c_1001_1 + 8042165172764348724034/28934497751533711830137, c_0101_10 + 6827915143845998910613/28934497751533711830137*c_1001_1^20 - 40808239812865219337303/28934497751533711830137*c_1001_1^19 + 143154297575994135760809/28934497751533711830137*c_1001_1^18 - 233532506517914362810544/28934497751533711830137*c_1001_1^17 + 331910712069220554318103/28934497751533711830137*c_1001_1^16 - 332721492948763313750880/28934497751533711830137*c_1001_1^15 + 597748083852915358764212/28934497751533711830137*c_1001_1^14 + 494331286655656355009839/28934497751533711830137*c_1001_1^13 + 1143557321764568245573181/28934497751533711830137*c_1001_1^12 + 2072584262550601235323759/28934497751533711830137*c_1001_1^11 + 2446707102917207522883787/28934497751533711830137*c_1001_1^10 + 3301964901723346100777635/28934497751533711830137*c_1001_1^9 + 3182233316353492203756163/28934497751533711830137*c_1001_1^8 + 2717222247506201054193393/28934497751533711830137*c_1001_1^7 + 2236450447875550268490518/28934497751533711830137*c_1001_1^6 + 1196829747343277169670513/28934497751533711830137*c_1001_1^5 + 686280290153751758885559/28934497751533711830137*c_1001_1^4 + 216207685707727509068941/28934497751533711830137*c_1001_1^3 + 81016645199409555720813/28934497751533711830137*c_1001_1^2 - 16645499198980998707430/28934497751533711830137*c_1001_1 - 18335719715219990369675/28934497751533711830137, c_0101_3 + 53366632164512024457587/28934497751533711830137*c_1001_1^20 - 341332633106054425458496/28934497751533711830137*c_1001_1^19 + 1259295092235886955433400/28934497751533711830137*c_1001_1^18 - 2333088913566643592655683/28934497751533711830137*c_1001_1^17 + 3499316140261187020501861/28934497751533711830137*c_1001_1^16 - 3938223682769156136433460/28934497751533711830137*c_1001_1^15 + 6216481363090152360554224/28934497751533711830137*c_1001_1^14 + 1332332938743942516507105/28934497751533711830137*c_1001_1^13 + 8232606703189740314123312/28934497751533711830137*c_1001_1^12 + 12670721031152999099047763/28934497751533711830137*c_1001_1^11 + 14112998121375351717977226/28934497751533711830137*c_1001_1^10 + 20387256537177500595011479/28934497751533711830137*c_1001_1^9 + 17396163098039566916499216/28934497751533711830137*c_1001_1^8 + 15450500841579524741011674/28934497751533711830137*c_1001_1^7 + 13360975176431133224809758/28934497751533711830137*c_1001_1^6 + 6067681910690262467771221/28934497751533711830137*c_1001_1^5 + 4826300675911481120996315/28934497751533711830137*c_1001_1^4 + 972777831694386960695051/28934497751533711830137*c_1001_1^3 + 794085433780023307659410/28934497751533711830137*c_1001_1^2 - 70617157478801516430160/28934497751533711830137*c_1001_1 - 138982036128217125408916/28934497751533711830137, c_0101_5 - c_1001_1, c_0101_6 - 3080403991610742318481/28934497751533711830137*c_1001_1^20 + 16865284533367665093204/28934497751533711830137*c_1001_1^19 - 55705776383440013992095/28934497751533711830137*c_1001_1^18 + 77085817773176512411848/28934497751533711830137*c_1001_1^17 - 117374761710707697308910/28934497751533711830137*c_1001_1^16 + 135296444679200788212823/28934497751533711830137*c_1001_1^15 - 301471963317431513313889/28934497751533711830137*c_1001_1^14 - 211928309835940612304668/28934497751533711830137*c_1001_1^13 - 797985549533427806068669/28934497751533711830137*c_1001_1^12 - 1011978052070363643586405/28934497751533711830137*c_1001_1^11 - 1558220468361934231074750/28934497751533711830137*c_1001_1^10 - 1929220085455428244512132/28934497751533711830137*c_1001_1^9 - 1901683795774635218800029/28934497751533711830137*c_1001_1^8 - 1745219365421769397242489/28934497751533711830137*c_1001_1^7 - 1270366713106156667843594/28934497751533711830137*c_1001_1^6 - 774894773989483873811180/28934497751533711830137*c_1001_1^5 - 451354684972458232451702/28934497751533711830137*c_1001_1^4 - 99764572172811008516025/28934497751533711830137*c_1001_1^3 - 91864875820910244723630/28934497751533711830137*c_1001_1^2 + 4854998577955001905357/28934497751533711830137*c_1001_1 - 8042165172764348724034/28934497751533711830137, c_1001_1^21 - 6*c_1001_1^20 + 21*c_1001_1^19 - 34*c_1001_1^18 + 47*c_1001_1^17 - 46*c_1001_1^16 + 85*c_1001_1^15 + 73*c_1001_1^14 + 160*c_1001_1^13 + 292*c_1001_1^12 + 349*c_1001_1^11 + 468*c_1001_1^10 + 456*c_1001_1^9 + 392*c_1001_1^8 + 340*c_1001_1^7 + 195*c_1001_1^6 + 122*c_1001_1^5 + 48*c_1001_1^4 + 20*c_1001_1^3 + 4*c_1001_1^2 - 3*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB