Magma V2.19-8 Wed Aug 21 2013 01:04:14 on localhost [Seed = 3398226577] Type ? for help. Type -D to quit. Loading file "L14n24002__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24002 geometric_solution 12.23328472 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 0 -1 0 0 1 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718708686543 1.018319862722 0 5 7 6 0132 0132 0132 0132 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292668868584 0.862634694744 7 0 9 8 0132 0132 0132 0132 1 1 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 -1 0 1 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 0.646278407664 0.342214330923 10 11 11 0 0132 0132 1302 0132 1 1 1 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 1 -1 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686778853291 0.906312377183 8 6 0 10 0132 3012 0132 3012 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 -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 0.180904898357 0.649070548422 12 1 11 8 0132 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287864195507 0.518264596727 4 9 1 12 1230 3120 0132 0132 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 0 0 0 0 0 0 -1 0 1 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 0.405402847823 0.505225109918 2 12 10 1 0132 0132 2031 0132 1 1 0 1 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 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445336467408 1.739891769315 4 5 2 9 0132 0321 0132 3120 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 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 0.596518329561 0.816112550824 8 6 11 2 3120 3120 1230 0132 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 0 0 0 0 0 0 0 0 0 1 0 -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 0.669980709824 0.548396848053 3 12 4 7 0132 1302 1230 1302 1 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.049844307167 1.197720039348 3 3 5 9 2031 0132 0321 3012 1 1 1 1 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 -2 1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468876180275 0.700901155193 5 7 6 10 0132 0132 0132 2031 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396900755723 1.059242881344 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : negation(d['c_1010_10']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_1010_10']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_9'])})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_9, c_1001_0, c_1001_5, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 82937343626758913238528/852047774471816097125*c_1010_10^11 - 5611773901200416020544/852047774471816097125*c_1010_10^10 - 28622521166874607145608/170409554894363219425*c_1010_10^9 + 110964190718891900835599/852047774471816097125*c_1010_10^8 + 500397328639947075739266/852047774471816097125*c_1010_10^7 + 21310116347098684922752/50120457321871535125*c_1010_10^6 - 242618388433370407898318/852047774471816097125*c_1010_10^5 - 72950740218953560277863/170409554894363219425*c_1010_10^4 + 6511895389197343021171/852047774471816097125*c_1010_10^3 + 24193584703608322252004/170409554894363219425*c_1010_10^2 + 13890384354704018016071/852047774471816097125*c_1010_10 - 16997593018765305569124/852047774471816097125, c_0011_0 - 1, c_0011_10 + 206754440982220464/13826333054309389*c_1010_10^11 - 202639376779388376/13826333054309389*c_1010_10^10 - 984292963520406489/55305332217237556*c_1010_10^9 + 1850181384495665457/55305332217237556*c_1010_10^8 + 3715799954261985065/55305332217237556*c_1010_10^7 + 225893090861278329/55305332217237556*c_1010_10^6 - 4522591969309188811/55305332217237556*c_1010_10^5 - 2106775422489795523/55305332217237556*c_1010_10^4 + 1655238106098283763/55305332217237556*c_1010_10^3 + 1432583944076163737/55305332217237556*c_1010_10^2 + 25584398378709075/55305332217237556*c_1010_10 - 373208860490866979/55305332217237556, c_0011_4 - 145144456501234144/13826333054309389*c_1010_10^11 + 140225903224894192/13826333054309389*c_1010_10^10 + 327015874659801125/27652666108618778*c_1010_10^9 - 590759561948192213/27652666108618778*c_1010_10^8 - 1343581513668508993/27652666108618778*c_1010_10^7 - 142941580933789823/27652666108618778*c_1010_10^6 + 1559630354666907283/27652666108618778*c_1010_10^5 + 829187682244213629/27652666108618778*c_1010_10^4 - 496598189233651215/27652666108618778*c_1010_10^3 - 592185179953687791/27652666108618778*c_1010_10^2 - 42074677947279891/27652666108618778*c_1010_10 + 139388294912321707/27652666108618778, c_0011_6 - 440490470523818432/13826333054309389*c_1010_10^11 + 400310676080434848/13826333054309389*c_1010_10^10 + 538583501682022765/13826333054309389*c_1010_10^9 - 942268733392957994/13826333054309389*c_1010_10^8 - 2047706010049850974/13826333054309389*c_1010_10^7 - 250785853644738243/13826333054309389*c_1010_10^6 + 2305215274165453783/13826333054309389*c_1010_10^5 + 1196153143313704031/13826333054309389*c_1010_10^4 - 799498137661283940/13826333054309389*c_1010_10^3 - 747363298550676256/13826333054309389*c_1010_10^2 - 32035136450115924/13826333054309389*c_1010_10 + 183320116422057727/13826333054309389, c_0011_9 - 289471481719886208/13826333054309389*c_1010_10^11 + 299709626810291840/13826333054309389*c_1010_10^10 + 347309438446231458/13826333054309389*c_1010_10^9 - 682289156850753823/13826333054309389*c_1010_10^8 - 1288299538607668477/13826333054309389*c_1010_10^7 + 36114746810458808/13826333054309389*c_1010_10^6 + 1661909274626088707/13826333054309389*c_1010_10^5 + 672639712263777966/13826333054309389*c_1010_10^4 - 694109366076004418/13826333054309389*c_1010_10^3 - 528644848435197924/13826333054309389*c_1010_10^2 + 19188010966053637/13826333054309389*c_1010_10 + 154099418323472715/13826333054309389, c_0101_0 - 1, c_0101_1 - 194522368415906400/13826333054309389*c_1010_10^11 + 158086723222672560/13826333054309389*c_1010_10^10 + 471798261176920657/27652666108618778*c_1010_10^9 - 746698323440031429/27652666108618778*c_1010_10^8 - 1849271433355660145/27652666108618778*c_1010_10^7 - 484283551031157197/27652666108618778*c_1010_10^6 + 1859701022871077533/27652666108618778*c_1010_10^5 + 1265419511785238507/27652666108618778*c_1010_10^4 - 447177387913501837/27652666108618778*c_1010_10^3 - 664779898577039815/27652666108618778*c_1010_10^2 - 119727358933661389/27652666108618778*c_1010_10 + 135241049433970201/27652666108618778, c_0101_11 - 43267497772334768/13826333054309389*c_1010_10^11 + 38661913697100824/13826333054309389*c_1010_10^10 + 267733498527908953/55305332217237556*c_1010_10^9 - 430299095424288125/55305332217237556*c_1010_10^8 - 847806573559757597/55305332217237556*c_1010_10^7 + 10803381639605659/55305332217237556*c_1010_10^6 + 1106425235955335567/55305332217237556*c_1010_10^5 + 467121944889647167/55305332217237556*c_1010_10^4 - 511893149479548631/55305332217237556*c_1010_10^3 - 318575714217137385/55305332217237556*c_1010_10^2 + 47653789917102693/55305332217237556*c_1010_10 + 112198148675295763/55305332217237556, c_0101_7 + 72084755242615696/13826333054309389*c_1010_10^11 - 100658639128733768/13826333054309389*c_1010_10^10 - 279752850741763251/55305332217237556*c_1010_10^9 + 732172888440135627/55305332217237556*c_1010_10^8 + 1196002146925558527/55305332217237556*c_1010_10^7 - 526948836944436085/55305332217237556*c_1010_10^6 - 2017843415654270285/55305332217237556*c_1010_10^5 - 548700891195380369/55305332217237556*c_1010_10^4 + 1015461599641211693/55305332217237556*c_1010_10^3 + 670457267630113455/55305332217237556*c_1010_10^2 - 110608025308343535/55305332217237556*c_1010_10 - 229693003827713353/55305332217237556, c_0101_9 + 127662784525340640/13826333054309389*c_1010_10^11 - 121348488079869040/13826333054309389*c_1010_10^10 - 327833524505325493/27652666108618778*c_1010_10^9 + 590804167765425761/27652666108618778*c_1010_10^8 + 1187104637170768821/27652666108618778*c_1010_10^7 + 36188857809387053/27652666108618778*c_1010_10^6 - 1443485677644724289/27652666108618778*c_1010_10^5 - 614735723591064023/27652666108618778*c_1010_10^4 + 632361255306481771/27652666108618778*c_1010_10^3 + 471000499921187921/27652666108618778*c_1010_10^2 - 35425386242612377/27652666108618778*c_1010_10 - 140736717187442115/27652666108618778, c_1001_0 + 187367418124259376/13826333054309389*c_1010_10^11 - 145194004328467096/13826333054309389*c_1010_10^10 - 976506498967068641/55305332217237556*c_1010_10^9 + 1466512196728773497/55305332217237556*c_1010_10^8 + 3653519693366943373/55305332217237556*c_1010_10^7 + 962879433143628985/55305332217237556*c_1010_10^6 - 3745378885925691575/55305332217237556*c_1010_10^5 - 2452927181591815879/55305332217237556*c_1010_10^4 + 996866183041723207/55305332217237556*c_1010_10^3 + 1395686070483056461/55305332217237556*c_1010_10^2 + 161302110077103675/55305332217237556*c_1010_10 - 301492280882590655/55305332217237556, c_1001_5 + 97680660430853568/13826333054309389*c_1010_10^11 - 113183052051510112/13826333054309389*c_1010_10^10 - 107713236394153661/13826333054309389*c_1010_10^9 + 238970013627510611/13826333054309389*c_1010_10^8 + 418325209137445873/13826333054309389*c_1010_10^7 - 61685154187463704/13826333054309389*c_1010_10^6 - 589224132157268089/13826333054309389*c_1010_10^5 - 202188901798168926/13826333054309389*c_1010_10^4 + 284737877900523471/13826333054309389*c_1010_10^3 + 202440273607848066/13826333054309389*c_1010_10^2 - 11703526957033493/13826333054309389*c_1010_10 - 66169017922879334/13826333054309389, c_1010_10^12 - 3/2*c_1010_10^11 - 43/64*c_1010_10^10 + 91/32*c_1010_10^9 + 27/8*c_1010_10^8 - 17/8*c_1010_10^7 - 89/16*c_1010_10^6 + 3/8*c_1010_10^5 + 109/32*c_1010_10^4 + 21/32*c_1010_10^3 - 31/32*c_1010_10^2 - 15/32*c_1010_10 + 17/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB