Magma V2.19-8 Tue Aug 20 2013 23:44:10 on localhost [Seed = 442269694] Type ? for help. Type -D to quit. Loading file "K13n1757__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1757 geometric_solution 10.98183729 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 -3 1 2 3 0 -3 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 0.995507008313 0.529151492918 0 5 5 6 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 -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 -2 2 -3 0 3 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 0.292427283299 0.653620117869 7 0 5 8 0132 0132 0132 0132 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 3 -3 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 0.633026149747 1.257052741574 7 9 9 0 2031 0132 2103 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 0 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.926694391306 0.703258672228 6 5 0 10 1023 1023 0132 0132 0 0 0 0 0 1 -1 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 0 2 -2 0 -2 0 0 2 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018188083352 0.690743868596 4 1 1 2 1023 0132 1023 0132 0 0 0 0 0 0 -1 1 -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 -3 3 -2 0 2 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 0.272896528884 0.894245869673 7 4 1 8 1023 1023 0132 1023 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 2 -2 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410434570235 0.785896734358 2 6 3 10 0132 1023 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721795112262 0.472928586363 9 11 2 6 3012 0132 0132 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 0 0 0 0 0 0 0 3 0 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.112208053018 1.191728638430 3 3 11 8 2103 0132 0132 1230 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 3 0 0 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746733305629 0.719379138915 11 7 4 11 2103 1302 0132 2310 0 0 0 0 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 -2 2 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313876085610 1.010125245605 10 8 10 9 3201 0132 2103 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 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592474101703 0.302903780286 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1100_1']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1100_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' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), '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' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1326380014649236096823197398897280418833096150513/91305959797796553\ 4125180600713296050889793369265*c_1100_1^16 + 48535429063638551147422038414209204776209010903/6087063986519770227\ 5012040047553070059319557951*c_1100_1^15 + 16933088572282561661646133129350000884976105274048/9130595979779655\ 34125180600713296050889793369265*c_1100_1^14 + 60651869682752168343240112379329287004261744003/9817845139548016495\ 969683878637591945051541605*c_1100_1^13 + 539718282632080504649482047701902448594799157561/255758991030242446\ 5336640338132481935265527645*c_1100_1^12 - 5458119181714649408992438640103119019487532467883/43479028475141215\ 910722885748252192899513969965*c_1100_1^11 + 282118424228190932081524503537414260402308884953072/304353199325988\ 511375060200237765350296597789755*c_1100_1^10 + 269141642940552192734467586885571979908913823858963/182611919595593\ 106825036120142659210177958673853*c_1100_1^9 + 3112438401476537741370244725669022078473974913862774/91305959797796\ 5534125180600713296050889793369265*c_1100_1^8 + 68514177083626870329172628682799128206441740617754/5370938811635091\ 3772069447100782120640576080545*c_1100_1^7 + 1281074186973734068930277822846225439763059662319619/30435319932598\ 8511375060200237765350296597789755*c_1100_1^6 - 261416895894676252201236406119647360634155760934096/608706398651977\ 02275012040047553070059319557951*c_1100_1^5 + 62658412982831606937097219283922975692986202454/1609057358318733869\ 2839555920579717171377097*c_1100_1^4 - 392267474710010538274873452488857048370048086629207/101451066441996\ 170458353400079255116765532596585*c_1100_1^3 + 1535048834421889193921856294641825627453283840730909/91305959797796\ 5534125180600713296050889793369265*c_1100_1^2 - 168979974386675210945380780691835671354699826006016/913059597977965\ 534125180600713296050889793369265*c_1100_1 + 3150037196858196041382868123184191991423470597513/91305959797796553\ 4125180600713296050889793369265, c_0011_0 - 1, c_0011_10 - 11408343991401758850465567345319/30486090097296190009295630\ 18212593*c_1100_1^16 - 12316039028111011392103142354497/30486090097\ 29619000929563018212593*c_1100_1^15 - 48975335183805739137523454411552/1016203003243206333643187672737531\ *c_1100_1^14 - 122794936688228874703173103880255/304860900972961900\ 0929563018212593*c_1100_1^13 - 97438238923719313323659741383985/179\ 329941748801117701739001071329*c_1100_1^12 + 139440377514378405453872190643330/304860900972961900092956301821259\ 3*c_1100_1^11 - 6457446945910186620639138398253010/3048609009729619\ 000929563018212593*c_1100_1^10 - 5111627977101672859559450715753030\ /1016203003243206333643187672737531*c_1100_1^9 - 10611319169815883331221133188560898/1016203003243206333643187672737\ 531*c_1100_1^8 - 1225437309623129324239673905007171/179329941748801\ 117701739001071329*c_1100_1^7 - 10626805372281147169347500372503462\ /1016203003243206333643187672737531*c_1100_1^6 + 7323372804054857933795542572132689/10162030032432063336431876727375\ 31*c_1100_1^5 - 1607222228897909111573548085701641/1016203003243206\ 333643187672737531*c_1100_1^4 + 4755708230905299047031032403960264/\ 1016203003243206333643187672737531*c_1100_1^3 + 5220732401349645772563366877740518/30486090097296190009295630182125\ 93*c_1100_1^2 - 715432794251700728556818804342311/10162030032432063\ 33643187672737531*c_1100_1 - 1579852659672424638919495969019486/304\ 8609009729619000929563018212593, c_0011_11 - 39681150179148064020395796436433/10162030032432063336431876\ 72737531*c_1100_1^16 - 40209288133518193398085432733999/10162030032\ 43206333643187672737531*c_1100_1^15 - 516349127454599232319710574625027/101620300324320633364318767273753\ 1*c_1100_1^14 - 404082215791313845463011838586983/10162030032432063\ 33643187672737531*c_1100_1^13 - 343428720188238521229458410440635/5\ 9776647249600372567246333690443*c_1100_1^12 + 751172259480642517289413341987329/101620300324320633364318767273753\ 1*c_1100_1^11 - 23675328006993049894324536602238742/101620300324320\ 6333643187672737531*c_1100_1^10 - 520744346171118958896983787801602\ 21/1016203003243206333643187672737531*c_1100_1^9 - 111539444810748991670514133986945785/101620300324320633364318767273\ 7531*c_1100_1^8 - 4575188712955777491864749994645322/59776647249600\ 372567246333690443*c_1100_1^7 - 13052375591772967519126426159935077\ 2/1016203003243206333643187672737531*c_1100_1^6 + 64182100755733844663939896982404743/1016203003243206333643187672737\ 531*c_1100_1^5 - 49595794429391656082559326169655381/10162030032432\ 06333643187672737531*c_1100_1^4 + 571958466394698624226058363522268\ 34/1016203003243206333643187672737531*c_1100_1^3 + 6357955702207865121799352488517520/10162030032432063336431876727375\ 31*c_1100_1^2 - 16572426762618235301400911702372433/101620300324320\ 6333643187672737531*c_1100_1 + 1829349002873936032367610570667476/1\ 016203003243206333643187672737531, c_0011_3 - 6584710567411125157069559324551/3048609009729619000929563018\ 212593*c_1100_1^16 - 7637748228462137181268116877838/30486090097296\ 19000929563018212593*c_1100_1^15 - 84087041112396407142311777438018/3048609009729619000929563018212593\ *c_1100_1^14 - 76094900887420185702978001926925/3048609009729619000\ 929563018212593*c_1100_1^13 - 55621090121239883690024613594643/1793\ 29941748801117701739001071329*c_1100_1^12 + 19273852723699322433675012964349/3048609009729619000929563018212593\ *c_1100_1^11 - 3538305290991681827366258966462876/30486090097296190\ 00929563018212593*c_1100_1^10 - 9143090066672970589446974674923470/\ 3048609009729619000929563018212593*c_1100_1^9 - 18437602196721980965367128666227152/3048609009729619000929563018212\ 593*c_1100_1^8 - 228364310047213393096417069299305/5977664724960037\ 2567246333690443*c_1100_1^7 - 5240463515787042895480957420391897/10\ 16203003243206333643187672737531*c_1100_1^6 + 4491681935692032095801916577701665/10162030032432063336431876727375\ 31*c_1100_1^5 + 6330227731197389120698888907296/1016203003243206333\ 643187672737531*c_1100_1^4 + 2606592662002771312778438712806342/101\ 6203003243206333643187672737531*c_1100_1^3 + 3403101624170315851097393954568137/30486090097296190009295630182125\ 93*c_1100_1^2 - 589404315229922329496927059578619/30486090097296190\ 00929563018212593*c_1100_1 - 833214397119896255924402982812941/1016\ 203003243206333643187672737531, c_0101_0 - 93575075359561183234595155742932/304860900972961900092956301\ 8212593*c_1100_1^16 - 115985154591370162220627746112944/30486090097\ 29619000929563018212593*c_1100_1^15 - 415083797851591180772962377336854/101620300324320633364318767273753\ 1*c_1100_1^14 - 1234404329362356434372225751755627/3048609009729619\ 000929563018212593*c_1100_1^13 - 827311798448351758810451558304938/\ 179329941748801117701739001071329*c_1100_1^12 - 1406671246981077110635235412709559/30486090097296190009295630182125\ 93*c_1100_1^11 - 56351422974035244968395359264110347/30486090097296\ 19000929563018212593*c_1100_1^10 - 45109785291925904442079544323725960/1016203003243206333643187672737\ 531*c_1100_1^9 - 98220173521647548605170338376807976/10162030032432\ 06333643187672737531*c_1100_1^8 - 147769681134727192237360889906146\ 07/179329941748801117701739001071329*c_1100_1^7 - 122345057799083609462321994511515261/101620300324320633364318767273\ 7531*c_1100_1^6 + 22507690495762524629495840540468868/1016203003243\ 206333643187672737531*c_1100_1^5 - 36106308740499458170223063157286343/1016203003243206333643187672737\ 531*c_1100_1^4 + 36448703352345111675091370161654886/10162030032432\ 06333643187672737531*c_1100_1^3 + 311081223932756539935425760320571\ 56/3048609009729619000929563018212593*c_1100_1^2 - 10349308142502187466474459535534470/1016203003243206333643187672737\ 531*c_1100_1 + 1219394771942004068050490987551405/30486090097296190\ 00929563018212593, c_0101_1 + 17327069247543382987365949132338/101620300324320633364318767\ 2737531*c_1100_1^16 + 17741956280990654128803079573027/101620300324\ 3206333643187672737531*c_1100_1^15 + 224161334400958561126261501285736/101620300324320633364318767273753\ 1*c_1100_1^14 + 175990534767351996328618829268307/10162030032432063\ 33643187672737531*c_1100_1^13 + 8753268439980793527788654550202/351\ 6273367623551327485078452379*c_1100_1^12 - 333636233957885003123567832581614/101620300324320633364318767273753\ 1*c_1100_1^11 + 10092674748088821781660850171138097/101620300324320\ 6333643187672737531*c_1100_1^10 + 226802505671227873252047157398669\ 82/1016203003243206333643187672737531*c_1100_1^9 + 47983658956938591317858263346502914/1016203003243206333643187672737\ 531*c_1100_1^8 + 1871939508711413385128619413672787/597766472496003\ 72567246333690443*c_1100_1^7 + 50995304680121954069240451499496173/\ 1016203003243206333643187672737531*c_1100_1^6 - 34789224835382235158217442318094681/1016203003243206333643187672737\ 531*c_1100_1^5 + 12844314955655531537223749336714935/10162030032432\ 06333643187672737531*c_1100_1^4 - 263908369453180778496549904497069\ 34/1016203003243206333643187672737531*c_1100_1^3 - 3578886601526405796558388642974467/10162030032432063336431876727375\ 31*c_1100_1^2 + 9588921367137178138609143572809397/1016203003243206\ 333643187672737531*c_1100_1 - 340899085562454263351902692255269/101\ 6203003243206333643187672737531, c_0101_10 + 3429594052966349090564625325981/101620300324320633364318767\ 2737531*c_1100_1^16 + 15327423066625557891424035345493/304860900972\ 9619000929563018212593*c_1100_1^15 + 137336385717660563375677110708698/304860900972961900092956301821259\ 3*c_1100_1^14 + 167876417278034380147518490089422/30486090097296190\ 00929563018212593*c_1100_1^13 + 91016089654289398199844737801258/17\ 9329941748801117701739001071329*c_1100_1^12 + 525040859900536482515506172740979/304860900972961900092956301821259\ 3*c_1100_1^11 + 5862315610106467302982137096263275/3048609009729619\ 000929563018212593*c_1100_1^10 + 1661022993941242436303082511350401\ 3/3048609009729619000929563018212593*c_1100_1^9 + 34777854755812724517707304572586938/3048609009729619000929563018212\ 593*c_1100_1^8 + 1910587473146824741594007731049860/179329941748801\ 117701739001071329*c_1100_1^7 + 13861768582737299267467523477249546\ /1016203003243206333643187672737531*c_1100_1^6 + 775886392612850188866784337356789/101620300324320633364318767273753\ 1*c_1100_1^5 + 2911098213100216808875118556119620/10162030032432063\ 33643187672737531*c_1100_1^4 + 8128793418279905159756076905135/1016\ 203003243206333643187672737531*c_1100_1^3 - 1541069867627483776307264952691238/10162030032432063336431876727375\ 31*c_1100_1^2 + 3380293439756005584675649282167661/3048609009729619\ 000929563018212593*c_1100_1 + 1146945594991725462552178679496850/30\ 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