Magma V2.19-8 Tue Aug 20 2013 23:38:12 on localhost [Seed = 2017336410] Type ? for help. Type -D to quit. Loading file "K10a64__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a64 geometric_solution 9.18057364 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 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 1 0 -1 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 0.469713389234 0.556159941622 0 2 6 5 0132 0321 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 -1 0 -1 0 1 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 0.604339759069 0.473425329262 6 0 7 1 2310 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934151494872 1.788137409713 8 5 9 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 -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 0.411846888247 0.820243522308 5 9 0 8 0132 0132 0132 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 0 0 0 0 -1 4 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411846888247 0.820243522308 4 3 1 6 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.469713389234 0.556159941622 5 7 2 1 3120 3120 3201 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 -1 1 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 0.770482944425 0.439337768546 7 6 7 2 2310 3120 3201 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 0.173819963847 0.524876656615 3 9 4 9 0132 1023 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 1 -1 0 0 0 0 0 0 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039063668278 1.276366659677 8 4 8 3 1023 0132 0132 0132 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 -1 0 0 1 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039063668278 1.276366659677 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_3'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_7']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : 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_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], '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_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 3610874140219273570247591/228846562898460049255168*c_1100_0^21 - 11651202392919623640507729/114423281449230024627584*c_1100_0^20 - 84789904101479147888188811/228846562898460049255168*c_1100_0^19 - 221266115833734165589524115/228846562898460049255168*c_1100_0^18 - 408271761983650151425915331/228846562898460049255168*c_1100_0^17 - 664480325311605807209260417/228846562898460049255168*c_1100_0^16 - 1082355265492203172817359067/228846562898460049255168*c_1100_0^15 - 1368243238389884208228997/202161274645282729024*c_1100_0^14 - 1910825635354519904034348717/228846562898460049255168*c_1100_0^13 - 1916274553529914487914870811/228846562898460049255168*c_1100_0^12 - 1905144441498678667779490583/228846562898460049255168*c_1100_0^11 - 1756912312525711524882303403/228846562898460049255168*c_1100_0^10 - 855364590550146344302541105/114423281449230024627584*c_1100_0^9 - 737791202737158219351209161/114423281449230024627584*c_1100_0^8 - 573116607998959181045523583/114423281449230024627584*c_1100_0^7 - 43323767960581878114282967/14302910181153753078448*c_1100_0^6 - 409255565414585155820164165/228846562898460049255168*c_1100_0^5 - 207424587545396568288442093/228846562898460049255168*c_1100_0^4 - 56743828116885100876171911/114423281449230024627584*c_1100_0^3 - 9099217922306675664071887/57211640724615012313792*c_1100_0^2 - 6063351791381850101633639/228846562898460049255168*c_1100_0 - 8239386545581621965139999/228846562898460049255168, c_0011_0 - 1, c_0011_3 - c_1100_0, c_0011_6 + 1447155003215330513/6317539832665085282*c_1100_0^21 + 7370432740971110521/6317539832665085282*c_1100_0^20 + 10345215575214124447/3158769916332542641*c_1100_0^19 + 38427312302224668591/6317539832665085282*c_1100_0^18 + 14006506353758889543/3158769916332542641*c_1100_0^17 + 4363933426039853365/6317539832665085282*c_1100_0^16 - 620773632785163568/3158769916332542641*c_1100_0^15 - 41132513136534405924/3158769916332542641*c_1100_0^14 - 255999876356645480345/6317539832665085282*c_1100_0^13 - 262997983564276745133/3158769916332542641*c_1100_0^12 - 579643837510964934597/6317539832665085282*c_1100_0^11 - 304369587521006598405/3158769916332542641*c_1100_0^10 - 249700219707228408010/3158769916332542641*c_1100_0^9 - 266721423906697101497/3158769916332542641*c_1100_0^8 - 264169985434044641905/3158769916332542641*c_1100_0^7 - 256292372090841337486/3158769916332542641*c_1100_0^6 - 317044637971556417363/6317539832665085282*c_1100_0^5 - 80700609832196750922/3158769916332542641*c_1100_0^4 - 26958174098332770725/3158769916332542641*c_1100_0^3 - 15087289383796266284/3158769916332542641*c_1100_0^2 - 11058280775695749807/6317539832665085282*c_1100_0 + 878259328244302567/3158769916332542641, c_0011_7 + 11505873405625931711/12635079665330170564*c_1100_0^21 + 18836499695561366549/3158769916332542641*c_1100_0^20 + 275160143483348324777/12635079665330170564*c_1100_0^19 + 714646983519851145867/12635079665330170564*c_1100_0^18 + 1302943042376003802693/12635079665330170564*c_1100_0^17 + 2057378473943126225137/12635079665330170564*c_1100_0^16 + 3274508773447818708617/12635079665330170564*c_1100_0^15 + 1159596477173788897546/3158769916332542641*c_1100_0^14 + 5551874120049650517141/12635079665330170564*c_1100_0^13 + 5172511448009688213549/12635079665330170564*c_1100_0^12 + 4705435220682811984863/12635079665330170564*c_1100_0^11 + 4080243269717297877713/12635079665330170564*c_1100_0^10 + 1994534884014375244257/6317539832665085282*c_1100_0^9 + 1669193297275481077177/6317539832665085282*c_1100_0^8 + 1187185903584338102479/6317539832665085282*c_1100_0^7 + 237637026785975245768/3158769916332542641*c_1100_0^6 + 246430995206167727577/12635079665330170564*c_1100_0^5 - 30470755944621803793/12635079665330170564*c_1100_0^4 + 7030918534634757547/6317539832665085282*c_1100_0^3 - 11347214394950201606/3158769916332542641*c_1100_0^2 - 42506501277794462693/12635079665330170564*c_1100_0 - 5374759955663740935/12635079665330170564, c_0101_0 - 1447155003215330513/6317539832665085282*c_1100_0^21 - 7370432740971110521/6317539832665085282*c_1100_0^20 - 10345215575214124447/3158769916332542641*c_1100_0^19 - 38427312302224668591/6317539832665085282*c_1100_0^18 - 14006506353758889543/3158769916332542641*c_1100_0^17 - 4363933426039853365/6317539832665085282*c_1100_0^16 + 620773632785163568/3158769916332542641*c_1100_0^15 + 41132513136534405924/3158769916332542641*c_1100_0^14 + 255999876356645480345/6317539832665085282*c_1100_0^13 + 262997983564276745133/3158769916332542641*c_1100_0^12 + 579643837510964934597/6317539832665085282*c_1100_0^11 + 304369587521006598405/3158769916332542641*c_1100_0^10 + 249700219707228408010/3158769916332542641*c_1100_0^9 + 266721423906697101497/3158769916332542641*c_1100_0^8 + 264169985434044641905/3158769916332542641*c_1100_0^7 + 256292372090841337486/3158769916332542641*c_1100_0^6 + 317044637971556417363/6317539832665085282*c_1100_0^5 + 80700609832196750922/3158769916332542641*c_1100_0^4 + 26958174098332770725/3158769916332542641*c_1100_0^3 + 15087289383796266284/3158769916332542641*c_1100_0^2 + 11058280775695749807/6317539832665085282*c_1100_0 - 878259328244302567/3158769916332542641, c_0101_1 + 166035807104656399/3158769916332542641*c_1100_0^21 + 3753414761142321459/6317539832665085282*c_1100_0^20 + 18824553589420293303/6317539832665085282*c_1100_0^19 + 31345754535169146004/3158769916332542641*c_1100_0^18 + 153739098805948397979/6317539832665085282*c_1100_0^17 + 145330731148519610745/3158769916332542641*c_1100_0^16 + 487367787268582867807/6317539832665085282*c_1100_0^15 + 385421503646570464143/3158769916332542641*c_1100_0^14 + 546749490656197549049/3158769916332542641*c_1100_0^13 + 1358067426162222895733/6317539832665085282*c_1100_0^12 + 718190034351345450057/3158769916332542641*c_1100_0^11 + 1401687028085960106209/6317539832665085282*c_1100_0^10 + 637138281489777062255/3158769916332542641*c_1100_0^9 + 591784221910894297478/3158769916332542641*c_1100_0^8 + 519803234239294634403/3158769916332542641*c_1100_0^7 + 411038687884140957493/3158769916332542641*c_1100_0^6 + 263129913888037870124/3158769916332542641*c_1100_0^5 + 272912965347434912541/6317539832665085282*c_1100_0^4 + 55468642383725352699/3158769916332542641*c_1100_0^3 + 22989210840169501428/3158769916332542641*c_1100_0^2 + 8947666447136140130/3158769916332542641*c_1100_0 + 1247632779577966091/6317539832665085282, c_0101_2 + 23259885248424213225/25270159330660341128*c_1100_0^21 + 36595822252997346827/6317539832665085282*c_1100_0^20 + 518049455651594422799/25270159330660341128*c_1100_0^19 + 1310030247059900553037/25270159330660341128*c_1100_0^18 + 2298821868569560553531/25270159330660341128*c_1100_0^17 + 3589031057805875166467/25270159330660341128*c_1100_0^16 + 5784310570522842845371/25270159330660341128*c_1100_0^15 + 1007657889131849012707/3158769916332542641*c_1100_0^14 + 9414208872595376647007/25270159330660341128*c_1100_0^13 + 8492332237458035116883/25270159330660341128*c_1100_0^12 + 8013528910621505390533/25270159330660341128*c_1100_0^11 + 7093787347684469420959/25270159330660341128*c_1100_0^10 + 3523573050385653859843/12635079665330170564*c_1100_0^9 + 2839474625241964834477/12635079665330170564*c_1100_0^8 + 1961179497116697843337/12635079665330170564*c_1100_0^7 + 388538154671642634351/6317539832665085282*c_1100_0^6 + 654927384345255561183/25270159330660341128*c_1100_0^5 + 176448248693985392417/25270159330660341128*c_1100_0^4 + 76922919683540338513/12635079665330170564*c_1100_0^3 - 12604361677043194354/3158769916332542641*c_1100_0^2 - 74535475816736389163/25270159330660341128*c_1100_0 + 10546976319106954091/25270159330660341128, c_0101_3 + 3183076336539395567/25270159330660341128*c_1100_0^21 + 6704656535153692233/6317539832665085282*c_1100_0^20 + 114991813539683665801/25270159330660341128*c_1100_0^19 + 341751199361290590091/25270159330660341128*c_1100_0^18 + 743809578657629442869/25270159330660341128*c_1100_0^17 + 1295983956279525302525/25270159330660341128*c_1100_0^16 + 2114439328434325099221/25270159330660341128*c_1100_0^15 + 405013372796867075817/3158769916332542641*c_1100_0^14 + 4343263454626195158537/25270159330660341128*c_1100_0^13 + 4968365742601616472981/25270159330660341128*c_1100_0^12 + 4938774801356407904819/25270159330660341128*c_1100_0^11 + 4726333981282752086505/25270159330660341128*c_1100_0^10 + 2141938370199881541461/12635079665330170564*c_1100_0^9 + 1999274936447620206167/12635079665330170564*c_1100_0^8 + 1655740070173453833767/12635079665330170564*c_1100_0^7 + 605092407866528019097/6317539832665085282*c_1100_0^6 + 1344883180162790497689/25270159330660341128*c_1100_0^5 + 671128561557080848583/25270159330660341128*c_1100_0^4 + 127138359210006077827/12635079665330170564*c_1100_0^3 + 13950274670093635103/3158769916332542641*c_1100_0^2 + 24716826808277250827/25270159330660341128*c_1100_0 + 2503168891574845093/25270159330660341128, c_1001_0 + 166035807104656399/3158769916332542641*c_1100_0^21 + 3753414761142321459/6317539832665085282*c_1100_0^20 + 18824553589420293303/6317539832665085282*c_1100_0^19 + 31345754535169146004/3158769916332542641*c_1100_0^18 + 153739098805948397979/6317539832665085282*c_1100_0^17 + 145330731148519610745/3158769916332542641*c_1100_0^16 + 487367787268582867807/6317539832665085282*c_1100_0^15 + 385421503646570464143/3158769916332542641*c_1100_0^14 + 546749490656197549049/3158769916332542641*c_1100_0^13 + 1358067426162222895733/6317539832665085282*c_1100_0^12 + 718190034351345450057/3158769916332542641*c_1100_0^11 + 1401687028085960106209/6317539832665085282*c_1100_0^10 + 637138281489777062255/3158769916332542641*c_1100_0^9 + 591784221910894297478/3158769916332542641*c_1100_0^8 + 519803234239294634403/3158769916332542641*c_1100_0^7 + 411038687884140957493/3158769916332542641*c_1100_0^6 + 263129913888037870124/3158769916332542641*c_1100_0^5 + 272912965347434912541/6317539832665085282*c_1100_0^4 + 55468642383725352699/3158769916332542641*c_1100_0^3 + 22989210840169501428/3158769916332542641*c_1100_0^2 + 8947666447136140130/3158769916332542641*c_1100_0 + 1247632779577966091/6317539832665085282, c_1100_0^22 + 7*c_1100_0^21 + 27*c_1100_0^20 + 74*c_1100_0^19 + 146*c_1100_0^18 + 244*c_1100_0^17 + 396*c_1100_0^16 + 585*c_1100_0^15 + 751*c_1100_0^14 + 800*c_1100_0^13 + 790*c_1100_0^12 + 742*c_1100_0^11 + 707*c_1100_0^10 + 636*c_1100_0^9 + 512*c_1100_0^8 + 338*c_1100_0^7 + 195*c_1100_0^6 + 102*c_1100_0^5 + 53*c_1100_0^4 + 22*c_1100_0^3 + 5*c_1100_0^2 + 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB