Magma V2.19-8 Wed Aug 21 2013 01:13:51 on localhost [Seed = 1663401413] Type ? for help. Type -D to quit. Loading file "L14n669__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n669 geometric_solution 12.38798144 oriented_manifold CS_known -0.0000000000000007 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 -1 1 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 -9 10 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 0.774108359984 1.078649895890 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -10 10 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318225001028 0.701090116731 8 0 7 6 0132 0132 3012 2031 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 -1 0 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487962914685 0.847872842081 5 9 8 0 2310 0132 0321 0132 1 1 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 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442562106960 0.721568165478 10 11 0 9 0132 0132 0132 0132 1 1 1 0 0 0 -1 1 1 0 0 -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 -10 10 9 0 0 -9 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114295583515 0.761665909679 11 1 3 10 0321 0132 3201 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 0.592043686753 0.646575196214 11 2 1 9 2103 1302 0132 3120 1 1 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 0 0 0 1 0 -1 10 0 -10 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 0.524444645680 0.673284752557 12 2 10 1 0132 1230 3120 0132 1 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 0 0 0 0 0 0 0 -10 0 0 10 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219624322625 1.017557661071 2 12 3 10 0132 1230 0321 1023 1 1 0 1 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 0 9 -9 -1 0 0 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 0.423869241398 0.763398205994 6 3 4 12 3120 0132 0132 1023 1 1 1 1 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 0 -10 10 0 0 9 -9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539403579578 0.558779439129 4 5 7 8 0132 0321 3120 1023 1 1 0 1 0 0 0 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 0 1 -1 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202331422910 1.190082033291 5 4 6 12 0321 0132 2103 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.679912943390 1.029029955740 7 11 8 9 0132 1302 3012 1023 1 1 1 0 0 -1 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 0 0 0 0 -10 1 9 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805366170393 1.093522912739 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_0110_6'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_2'], 's_3_11' : 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_0'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_8'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_1001_8']), 's_1_7' : d['1'], 's_1_6' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(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_10'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_6'], 'c_0110_8' : d['c_0101_2'], '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_0101_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0110_6, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4597103675223351198256/2219594251080217635*c_1001_8^11 - 2157274781234893189408/170738019313862895*c_1001_8^10 + 292009638450302068460527/8878377004320870540*c_1001_8^9 - 284241089288736903554983/5918918002880580360*c_1001_8^8 + 85361029416232734950978/2219594251080217635*c_1001_8^7 - 22110063678788945010433/3551350801728348216*c_1001_8^6 - 23714486169400145378333/1479729500720145090*c_1001_8^5 + 15343589163794572797325/1775675400864174108*c_1001_8^4 + 44668192382088515879777/4439188502160435270*c_1001_8^3 - 99365569003947411844363/5918918002880580360*c_1001_8^2 + 85294731388022213111357/8878377004320870540*c_1001_8 - 17563320682173531125323/8878377004320870540, c_0011_0 - 1, c_0011_10 - 28030611516320/644939351857*c_1001_8^11 + 1436795540176240/5804454166713*c_1001_8^10 - 2310699215415875/3869636111142*c_1001_8^9 + 9336502570095269/11608908333426*c_1001_8^8 - 3280582386842330/5804454166713*c_1001_8^7 + 897881486566/1934818055571*c_1001_8^6 + 3310459949847277/11608908333426*c_1001_8^5 - 519244774668529/5804454166713*c_1001_8^4 - 1213668009308624/5804454166713*c_1001_8^3 + 1570336716156392/5804454166713*c_1001_8^2 - 737253099003370/5804454166713*c_1001_8 + 119844258068677/5804454166713, c_0011_12 + 129488688300224/5804454166713*c_1001_8^11 - 723544932174848/5804454166713*c_1001_8^10 + 1710426925122575/5804454166713*c_1001_8^9 - 1505295013826075/3869636111142*c_1001_8^8 + 1534340041119388/5804454166713*c_1001_8^7 + 60247523013565/5804454166713*c_1001_8^6 - 529421415045361/3869636111142*c_1001_8^5 + 208181582833477/5804454166713*c_1001_8^4 + 610507941179828/5804454166713*c_1001_8^3 - 248616273922402/1934818055571*c_1001_8^2 + 330362148378067/5804454166713*c_1001_8 - 52324717445063/5804454166713, c_0011_3 + 94544753032064/5804454166713*c_1001_8^11 - 527119749287104/5804454166713*c_1001_8^10 + 1229325972647942/5804454166713*c_1001_8^9 - 1577982385447196/5804454166713*c_1001_8^8 + 1016380842228776/5804454166713*c_1001_8^7 + 109145806649413/5804454166713*c_1001_8^6 - 561614754658018/5804454166713*c_1001_8^5 + 31528894654219/1934818055571*c_1001_8^4 + 147228338120116/1934818055571*c_1001_8^3 - 504521716822483/5804454166713*c_1001_8^2 + 24205653417160/644939351857*c_1001_8 - 30172332696499/5804454166713, c_0011_6 - 28806957888256/5804454166713*c_1001_8^11 + 171243352948928/5804454166713*c_1001_8^10 - 438887844739036/5804454166713*c_1001_8^9 + 640902705718465/5804454166713*c_1001_8^8 - 521457102535138/5804454166713*c_1001_8^7 + 103114267906015/5804454166713*c_1001_8^6 + 195189220508066/5804454166713*c_1001_8^5 - 13785800565908/644939351857*c_1001_8^4 - 40134504573250/1934818055571*c_1001_8^3 + 226529011162106/5804454166713*c_1001_8^2 - 47663277407944/1934818055571*c_1001_8 + 31762518622037/5804454166713, c_0101_0 - 1, c_0101_1 - 356013595040/5804454166713*c_1001_8^11 - 61739987046416/5804454166713*c_1001_8^10 + 640484244072719/11608908333426*c_1001_8^9 - 1357049939441483/11608908333426*c_1001_8^8 + 778576062722512/5804454166713*c_1001_8^7 - 767910897988613/11608908333426*c_1001_8^6 - 202200399106280/5804454166713*c_1001_8^5 + 191061577705897/3869636111142*c_1001_8^4 + 11125973435363/1934818055571*c_1001_8^3 - 279283650249113/5804454166713*c_1001_8^2 + 25641398553757/644939351857*c_1001_8 - 57547719026156/5804454166713, c_0101_10 - 4104878541440/5804454166713*c_1001_8^11 + 58524372203264/5804454166713*c_1001_8^10 - 232054073586386/5804454166713*c_1001_8^9 + 48563588282315/644939351857*c_1001_8^8 - 451515050805862/5804454166713*c_1001_8^7 + 170941577691941/5804454166713*c_1001_8^6 + 17632311115884/644939351857*c_1001_8^5 - 149029398301705/5804454166713*c_1001_8^4 - 58841642273798/5804454166713*c_1001_8^3 + 60826519301063/1934818055571*c_1001_8^2 - 122245462680040/5804454166713*c_1001_8 + 22703382124793/5804454166713, c_0101_2 + 560620928/72784037*c_1001_8^11 - 2385900032/72784037*c_1001_8^10 + 3486144366/72784037*c_1001_8^9 - 1272995761/72784037*c_1001_8^8 - 3330298590/72784037*c_1001_8^7 + 5378147664/72784037*c_1001_8^6 - 1026787043/72784037*c_1001_8^5 - 2873723114/72784037*c_1001_8^4 + 2301559141/72784037*c_1001_8^3 + 365549085/72784037*c_1001_8^2 - 1526891264/72784037*c_1001_8 + 520974761/72784037, c_0101_3 + 95181030024512/1934818055571*c_1001_8^11 - 1664000805666784/5804454166713*c_1001_8^10 + 458093343329363/644939351857*c_1001_8^9 - 5713662823280056/5804454166713*c_1001_8^8 + 4210134674204069/5804454166713*c_1001_8^7 - 29150128682844/644939351857*c_1001_8^6 - 1982874408160220/5804454166713*c_1001_8^5 + 766294348566814/5804454166713*c_1001_8^4 + 1382977829944085/5804454166713*c_1001_8^3 - 1930813426235408/5804454166713*c_1001_8^2 + 986414036965042/5804454166713*c_1001_8 - 180928875070780/5804454166713, c_0101_7 + 51521250935488/5804454166713*c_1001_8^11 - 292617337038688/5804454166713*c_1001_8^10 + 711514997692903/5804454166713*c_1001_8^9 - 108683089570256/644939351857*c_1001_8^8 + 718007512367024/5804454166713*c_1001_8^7 - 53428795589422/5804454166713*c_1001_8^6 - 34904178659899/644939351857*c_1001_8^5 + 124677268767488/5804454166713*c_1001_8^4 + 235250230590574/5804454166713*c_1001_8^3 - 107772674895532/1934818055571*c_1001_8^2 + 169608060310517/5804454166713*c_1001_8 - 37006848434944/5804454166713, c_0110_6 + 70173135486784/5804454166713*c_1001_8^11 - 150673500707552/1934818055571*c_1001_8^10 + 1227617626640449/5804454166713*c_1001_8^9 - 1844632154725628/5804454166713*c_1001_8^8 + 169631004871904/644939351857*c_1001_8^7 - 294074513741218/5804454166713*c_1001_8^6 - 620488226904151/5804454166713*c_1001_8^5 + 352257342720190/5804454166713*c_1001_8^4 + 367223991455924/5804454166713*c_1001_8^3 - 645082623078004/5804454166713*c_1001_8^2 + 380324159189872/5804454166713*c_1001_8 - 26500767281488/1934818055571, c_1001_8^12 - 13/2*c_1001_8^11 + 1173/64*c_1001_8^10 - 947/32*c_1001_8^9 + 1791/64*c_1001_8^8 - 85/8*c_1001_8^7 - 205/32*c_1001_8^6 + 233/32*c_1001_8^5 + 199/64*c_1001_8^4 - 321/32*c_1001_8^3 + 127/16*c_1001_8^2 - 23/8*c_1001_8 + 13/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB