Magma V2.19-8 Tue Aug 20 2013 23:46:41 on localhost [Seed = 206202412] Type ? for help. Type -D to quit. Loading file "K14n24557__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24557 geometric_solution 11.06152053 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 1 0 -1 0 0 0 0 0 -6 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748899123677 0.922053391131 0 5 7 6 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599822841468 0.493964721295 7 0 3 8 2103 0132 0213 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 -1 0 1 0 0 0 0 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603864463432 0.538114241424 9 2 5 0 0132 0213 1302 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159521714446 0.491853191311 10 6 0 11 0132 0132 0132 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 1 -1 0 0 0 0 -1 1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.647602365365 1.355819815954 3 1 8 6 2031 0132 1302 1023 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 -6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523718265325 1.602189559296 9 4 1 5 2103 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488696791106 1.015393194254 10 9 2 1 3120 1302 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -6 0 0 6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741777667443 0.518484775450 5 11 2 11 2031 2310 0132 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 -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 0.528814734384 0.997863690437 3 10 6 7 0132 3201 2103 2031 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 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182246776248 1.158747220425 4 11 9 7 0132 2031 2310 3120 0 0 0 0 0 0 -1 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 -1 -5 6 0 0 0 0 -6 0 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.002882689629 0.638120485359 10 8 4 8 1302 1302 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528814734384 0.997863690437 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_8'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_11'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_10'], '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' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_0011_8, c_0101_0, c_0101_1, c_0101_8, c_0110_5, c_0110_6, c_0110_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1395408908628526058551218/54877200223921232185*c_1001_0^11 - 6218255099106430294672259/1295101925284541079566*c_1001_0^10 + 28926785425746853277374596/3237754813211352698915*c_1001_0^9 + 149207962859309802981425939/6475509626422705397830*c_1001_0^8 + 88577836713688517489498/647550962642270539783*c_1001_0^7 + 14603969437982935802803722/3237754813211352698915*c_1001_0^6 + 2103860111557634199414109/380912330966041493990*c_1001_0^5 + 1080474677462816118802/1919238182105129045*c_1001_0^4 + 399989468139353707821554/647550962642270539783*c_1001_0^3 + 4514251512656146341379/1295101925284541079566*c_1001_0^2 + 305450123604734188484301/6475509626422705397830*c_1001_0 + 286188449397936912228659/6475509626422705397830, c_0011_0 - 1, c_0011_10 - 4479467945425/43560005279*c_1001_0^11 + 585734383856114/12850201557305*c_1001_0^10 - 528016582235231/12850201557305*c_1001_0^9 - 703133933525404/12850201557305*c_1001_0^8 + 49933632630723/2570040311461*c_1001_0^7 - 53914469551156/2570040311461*c_1001_0^6 + 104635017495409/12850201557305*c_1001_0^5 + 198695221956/1835743079615*c_1001_0^4 - 15784730831909/2570040311461*c_1001_0^3 + 14054578214962/2570040311461*c_1001_0^2 - 3810371451468/2570040311461*c_1001_0 + 6974507309586/12850201557305, c_0011_11 + 15879387254379/217800026395*c_1001_0^11 + 120951332168110/2570040311461*c_1001_0^10 + 615608080449183/12850201557305*c_1001_0^9 + 1245907243259706/12850201557305*c_1001_0^8 + 120585685231217/2570040311461*c_1001_0^7 + 657374778487166/12850201557305*c_1001_0^6 + 372607898974587/12850201557305*c_1001_0^5 + 23800549441306/1835743079615*c_1001_0^4 + 26192211024568/2570040311461*c_1001_0^3 + 3803395676784/2570040311461*c_1001_0^2 + 15489014352094/12850201557305*c_1001_0 + 8548522179166/12850201557305, c_0011_3 - 907064668829/31114289485*c_1001_0^11 + 24135273788554/1835743079615*c_1001_0^10 - 42141506183094/1835743079615*c_1001_0^9 - 2442339797250/367148615923*c_1001_0^8 - 1362948105717/367148615923*c_1001_0^7 - 11160014735706/1835743079615*c_1001_0^6 + 4552332513097/1835743079615*c_1001_0^5 - 358744907874/367148615923*c_1001_0^4 + 98405041266/367148615923*c_1001_0^3 + 691903861912/367148615923*c_1001_0^2 - 180085231324/1835743079615*c_1001_0 + 250632756122/367148615923, c_0011_8 - 1281674457811/6222857897*c_1001_0^11 - 1523271216863/79814916505*c_1001_0^10 - 279305006752744/1835743079615*c_1001_0^9 - 270120998083586/1835743079615*c_1001_0^8 - 31463775404841/367148615923*c_1001_0^7 - 1531436168339/15962983301*c_1001_0^6 - 58749501144894/1835743079615*c_1001_0^5 - 49993517835487/1835743079615*c_1001_0^4 - 6282659100783/367148615923*c_1001_0^3 - 1263563639276/367148615923*c_1001_0^2 - 1606429703800/367148615923*c_1001_0 - 985073366686/1835743079615, c_0101_0 + 24185652904193/217800026395*c_1001_0^11 - 237684798846246/1835743079615*c_1001_0^10 + 62378678119092/1835743079615*c_1001_0^9 + 446903591763404/12850201557305*c_1001_0^8 - 177340389717829/2570040311461*c_1001_0^7 + 124309802589487/12850201557305*c_1001_0^6 - 246206152193263/12850201557305*c_1001_0^5 + 1148209949746/558704415535*c_1001_0^4 + 3116228320241/367148615923*c_1001_0^3 - 15569446181676/2570040311461*c_1001_0^2 + 14532663590133/12850201557305*c_1001_0 + 2634832378474/12850201557305, c_0101_1 + 907064668829/31114289485*c_1001_0^11 - 24135273788554/1835743079615*c_1001_0^10 + 42141506183094/1835743079615*c_1001_0^9 + 2442339797250/367148615923*c_1001_0^8 + 1362948105717/367148615923*c_1001_0^7 + 11160014735706/1835743079615*c_1001_0^6 - 4552332513097/1835743079615*c_1001_0^5 + 358744907874/367148615923*c_1001_0^4 - 98405041266/367148615923*c_1001_0^3 - 691903861912/367148615923*c_1001_0^2 + 180085231324/1835743079615*c_1001_0 - 250632756122/367148615923, c_0101_8 - 3070947/3969455*c_1001_0^11 + 18617873994/234197845*c_1001_0^10 + 1394528938/46839569*c_1001_0^9 + 11450093908/234197845*c_1001_0^8 + 3281633611/46839569*c_1001_0^7 + 8491544112/234197845*c_1001_0^6 + 8117089593/234197845*c_1001_0^5 + 470082728/33456835*c_1001_0^4 + 177124513/46839569*c_1001_0^3 + 237194898/46839569*c_1001_0^2 + 192238883/234197845*c_1001_0 + 123036378/234197845, c_0110_5 - 64098609133801/217800026395*c_1001_0^11 - 730042209777777/12850201557305*c_1001_0^10 - 2135201604347444/12850201557305*c_1001_0^9 - 2699608108227892/12850201557305*c_1001_0^8 - 36817335004332/367148615923*c_1001_0^7 - 1234762729822549/12850201557305*c_1001_0^6 - 69794653075783/2570040311461*c_1001_0^5 - 126957053856539/12850201557305*c_1001_0^4 - 33239519871734/2570040311461*c_1001_0^3 + 847512738575/2570040311461*c_1001_0^2 - 15466035888216/12850201557305*c_1001_0 - 692641187846/1835743079615, c_0110_6 - 22860009499107/217800026395*c_1001_0^11 + 31860335430632/12850201557305*c_1001_0^10 - 390122118762202/12850201557305*c_1001_0^9 - 141449387441270/2570040311461*c_1001_0^8 - 28610279946956/2570040311461*c_1001_0^7 - 140954973154888/12850201557305*c_1001_0^6 + 68522491505761/12850201557305*c_1001_0^5 + 590074950688/367148615923*c_1001_0^4 - 6232719145952/2570040311461*c_1001_0^3 + 5056020183026/2570040311461*c_1001_0^2 + 3758363672188/12850201557305*c_1001_0 - 1252286529757/2570040311461, c_0110_8 + 80614223852591/217800026395*c_1001_0^11 + 1103227309954867/12850201557305*c_1001_0^10 + 3057645154381199/12850201557305*c_1001_0^9 + 3750953804870672/12850201557305*c_1001_0^8 + 407049617570047/2570040311461*c_1001_0^7 + 2144782394993709/12850201557305*c_1001_0^6 + 151633955977551/2570040311461*c_1001_0^5 + 69393892933177/1835743079615*c_1001_0^4 + 76321473023228/2570040311461*c_1001_0^3 + 13052061962894/2570040311461*c_1001_0^2 + 3027746223707/558704415535*c_1001_0 + 10256367368642/12850201557305, c_1001_0^12 + 152/649*c_1001_0^11 + 438/649*c_1001_0^10 + 536/649*c_1001_0^9 + 291/649*c_1001_0^8 + 314/649*c_1001_0^7 + 120/649*c_1001_0^6 + 78/649*c_1001_0^5 + 57/649*c_1001_0^4 + 10/649*c_1001_0^3 + 1/59*c_1001_0^2 + 2/649*c_1001_0 + 1/649 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.760 Total time: 1.970 seconds, Total memory usage: 64.12MB