Magma V2.19-8 Wed Aug 21 2013 00:31:46 on localhost [Seed = 4071940724] Type ? for help. Type -D to quit. Loading file "K14n18580__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18580 geometric_solution 11.58382193 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -13 0 0 13 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521511430775 0.427195347692 0 4 6 5 0132 2103 0132 0132 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 -1 1 13 0 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665532866034 0.467466626655 7 0 6 8 0132 0132 3120 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 1 -1 0 0 0 -12 12 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.093320305835 1.165782254047 8 8 5 0 3201 0132 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 0.818794598118 0.896349922669 9 1 0 10 0132 2103 0132 0132 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 -1 1 13 0 -13 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 0.362111904741 0.785403934360 3 7 1 11 2310 3201 0132 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 1 -1 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822070104298 0.802152778885 12 7 2 1 0132 2103 3120 0132 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 -1 1 -12 0 12 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 0.736391871895 1.284411708808 2 6 5 11 0132 2103 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.579007435233 0.772615580959 10 3 2 3 1023 0132 0132 2310 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 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439645537262 0.514715929746 4 11 12 12 0132 3120 3012 1302 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 0 -12 12 -13 0 1 12 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.815759590259 0.265789013595 12 8 4 11 3012 1023 0132 1230 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 -12 -1 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830196176782 0.888257244790 10 9 5 7 3012 3120 0132 2103 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 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457841149681 0.807087181925 6 9 9 10 0132 1230 2031 1230 0 0 0 0 0 0 0 0 -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 -1 1 0 12 0 -12 0 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135882987395 1.235647445750 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0101_1']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : 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_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_12' : 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_1'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0101_0']), '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'], 'c_1100_12' : d['c_0011_11'], '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_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0011_5']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), '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' : d['c_0101_7'], '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_0101_1'], 'c_0110_8' : d['c_0101_11'], '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_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 18441466556920449181/4157987188795138358*c_1001_0^25 + 908675526379466357/4157987188795138358*c_1001_0^24 - 164740426501656821635/2078993594397569179*c_1001_0^23 + 4629403578782567657/2078993594397569179*c_1001_0^22 - 1290118191085827608558/2078993594397569179*c_1001_0^21 + 3505870507160708253/2078993594397569179*c_1001_0^20 - 11654140355349229250983/4157987188795138358*c_1001_0^19 - 357793879297008164325/4157987188795138358*c_1001_0^18 - 16835826022508860923893/2078993594397569179*c_1001_0^17 - 1283756525774815000796/2078993594397569179*c_1001_0^16 - 65413501423909256223789/4157987188795138358*c_1001_0^15 - 4457207144985830218415/2078993594397569179*c_1001_0^14 - 43827176223805496925397/2078993594397569179*c_1001_0^13 - 9084201821270423421116/2078993594397569179*c_1001_0^12 - 3549440433962128821717/180782051686745146*c_1001_0^11 - 22577406492296588349917/4157987188795138358*c_1001_0^10 - 25831521390087053788252/2078993594397569179*c_1001_0^9 - 17160761178995857102177/4157987188795138358*c_1001_0^8 - 10125686765243622983810/2078993594397569179*c_1001_0^7 - 8188330712802047364201/4157987188795138358*c_1001_0^6 - 3732623278721434115351/4157987188795138358*c_1001_0^5 - 1312077225865465410920/2078993594397569179*c_1001_0^4 - 1107591685724436161/4157987188795138358*c_1001_0^3 - 251778154698237574496/2078993594397569179*c_1001_0^2 + 37874529400506793667/4157987188795138358*c_1001_0 - 12209439142975360096/2078993594397569179, c_0011_0 - 1, c_0011_10 - 1743245/2857801*c_1001_0^25 + 327517/2857801*c_1001_0^24 - 30196560/2857801*c_1001_0^23 + 5377673/2857801*c_1001_0^22 - 227710594/2857801*c_1001_0^21 + 37522980/2857801*c_1001_0^20 - 979535755/2857801*c_1001_0^19 + 142515361/2857801*c_1001_0^18 - 2646859706/2857801*c_1001_0^17 + 313038218/2857801*c_1001_0^16 - 4661535689/2857801*c_1001_0^15 + 394418725/2857801*c_1001_0^14 - 5349016646/2857801*c_1001_0^13 + 306939304/2857801*c_1001_0^12 - 3779095202/2857801*c_1001_0^11 + 313806821/2857801*c_1001_0^10 - 1216572216/2857801*c_1001_0^9 + 485638971/2857801*c_1001_0^8 + 371618103/2857801*c_1001_0^7 + 420053297/2857801*c_1001_0^6 + 487294716/2857801*c_1001_0^5 + 147546199/2857801*c_1001_0^4 + 117726939/2857801*c_1001_0^3 + 22166989/2857801*c_1001_0^2 - 2586341/2857801*c_1001_0 + 7132548/2857801, c_0011_11 + 10889825/2857801*c_1001_0^25 - 9446309/2857801*c_1001_0^24 + 194847863/2857801*c_1001_0^23 - 159449730/2857801*c_1001_0^22 + 1525577330/2857801*c_1001_0^21 - 1171273339/2857801*c_1001_0^20 + 6861921308/2857801*c_1001_0^19 - 4895651598/2857801*c_1001_0^18 + 19573148770/2857801*c_1001_0^17 - 12799688071/2857801*c_1001_0^16 + 36876014034/2857801*c_1001_0^15 - 21780727934/2857801*c_1001_0^14 + 46274744132/2857801*c_1001_0^13 - 24629947582/2857801*c_1001_0^12 + 37735627461/2857801*c_1001_0^11 - 18966432804/2857801*c_1001_0^10 + 18029840426/2857801*c_1001_0^9 - 10110546389/2857801*c_1001_0^8 + 2695607151/2857801*c_1001_0^7 - 3191364729/2857801*c_1001_0^6 - 2014353766/2857801*c_1001_0^5 - 65960326/2857801*c_1001_0^4 - 1118299970/2857801*c_1001_0^3 + 189845083/2857801*c_1001_0^2 - 159613623/2857801*c_1001_0 - 2759389/2857801, c_0011_12 - 3209384/2857801*c_1001_0^25 + 4236979/2857801*c_1001_0^24 - 58345633/2857801*c_1001_0^23 + 71601564/2857801*c_1001_0^22 - 464592071/2857801*c_1001_0^21 + 527235020/2857801*c_1001_0^20 - 2128699386/2857801*c_1001_0^19 + 2214989089/2857801*c_1001_0^18 - 6199332464/2857801*c_1001_0^17 + 5845509482/2857801*c_1001_0^16 - 11961035449/2857801*c_1001_0^15 + 10087694075/2857801*c_1001_0^14 - 15448660772/2857801*c_1001_0^13 + 11562636205/2857801*c_1001_0^12 - 13134353335/2857801*c_1001_0^11 + 8822006743/2857801*c_1001_0^10 - 6873257151/2857801*c_1001_0^9 + 4319833950/2857801*c_1001_0^8 - 1651341200/2857801*c_1001_0^7 + 1017561337/2857801*c_1001_0^6 + 322285657/2857801*c_1001_0^5 - 171455750/2857801*c_1001_0^4 + 328981492/2857801*c_1001_0^3 - 127915060/2857801*c_1001_0^2 + 58577673/2857801*c_1001_0 - 3955805/2857801, c_0011_4 - 7301726/2857801*c_1001_0^25 + 7456614/2857801*c_1001_0^24 - 130677316/2857801*c_1001_0^23 + 126975926/2857801*c_1001_0^22 - 1024501015/2857801*c_1001_0^21 + 942871980/2857801*c_1001_0^20 - 4621541037/2857801*c_1001_0^19 + 3997150662/2857801*c_1001_0^18 - 13251330181/2857801*c_1001_0^17 + 10655202298/2857801*c_1001_0^16 - 25180305274/2857801*c_1001_0^15 + 18622025323/2857801*c_1001_0^14 - 32043532955/2857801*c_1001_0^13 + 21772963972/2857801*c_1001_0^12 - 26803726758/2857801*c_1001_0^11 + 17235418564/2857801*c_1001_0^10 - 13647409788/2857801*c_1001_0^9 + 9037690957/2857801*c_1001_0^8 - 2991746407/2857801*c_1001_0^7 + 2452765083/2857801*c_1001_0^6 + 757227169/2857801*c_1001_0^5 - 261703643/2857801*c_1001_0^4 + 633704441/2857801*c_1001_0^3 - 298737787/2857801*c_1001_0^2 + 118773697/2857801*c_1001_0 - 27938959/2857801, c_0011_5 - 4948597/2857801*c_1001_0^25 + 4519466/2857801*c_1001_0^24 - 88649647/2857801*c_1001_0^23 + 76446821/2857801*c_1001_0^22 - 695298093/2857801*c_1001_0^21 + 563119036/2857801*c_1001_0^20 - 3134779131/2857801*c_1001_0^19 + 2362451670/2857801*c_1001_0^18 - 8968913995/2857801*c_1001_0^17 + 6207314545/2857801*c_1001_0^16 - 16960433823/2857801*c_1001_0^15 + 10630227226/2857801*c_1001_0^14 - 21376485401/2857801*c_1001_0^13 + 12104241087/2857801*c_1001_0^12 - 17526557468/2857801*c_1001_0^11 + 9351297246/2857801*c_1001_0^10 - 8460789420/2857801*c_1001_0^9 + 4935393806/2857801*c_1001_0^8 - 1358399155/2857801*c_1001_0^7 + 1495908206/2857801*c_1001_0^6 + 865068085/2857801*c_1001_0^5 - 13691129/2857801*c_1001_0^4 + 487999696/2857801*c_1001_0^3 - 111471922/2857801*c_1001_0^2 + 59652536/2857801*c_1001_0 - 2109728/2857801, c_0101_0 - 3368785/2857801*c_1001_0^25 + 3359269/2857801*c_1001_0^24 - 60582886/2857801*c_1001_0^23 + 55226502/2857801*c_1001_0^22 - 475886133/2857801*c_1001_0^21 + 394487128/2857801*c_1001_0^20 - 2142903730/2857801*c_1001_0^19 + 1601092345/2857801*c_1001_0^18 - 6102850638/2857801*c_1001_0^17 + 4058612862/2857801*c_1001_0^16 - 11439994628/2857801*c_1001_0^15 + 6683268719/2857801*c_1001_0^14 - 14221643338/2857801*c_1001_0^13 + 7299572756/2857801*c_1001_0^12 - 11420068651/2857801*c_1001_0^11 + 5442201011/2857801*c_1001_0^10 - 5285859287/2857801*c_1001_0^9 + 2861186394/2857801*c_1001_0^8 - 626859265/2857801*c_1001_0^7 + 934043089/2857801*c_1001_0^6 + 698275061/2857801*c_1001_0^5 + 42346287/2857801*c_1001_0^4 + 326359997/2857801*c_1001_0^3 - 50854294/2857801*c_1001_0^2 + 30203216/2857801*c_1001_0 + 2516168/2857801, c_0101_1 - 4625896/2857801*c_1001_0^25 + 3046084/2857801*c_1001_0^24 - 82105931/2857801*c_1001_0^23 + 50573471/2857801*c_1001_0^22 - 635656913/2857801*c_1001_0^21 + 363450936/2857801*c_1001_0^20 - 2815071012/2857801*c_1001_0^19 + 1473727167/2857801*c_1001_0^18 - 7861310819/2857801*c_1001_0^17 + 3688831275/2857801*c_1001_0^16 - 14388876517/2857801*c_1001_0^15 + 5896272133/2857801*c_1001_0^14 - 17341414885/2857801*c_1001_0^13 + 6144608937/2857801*c_1001_0^12 - 13273333237/2857801*c_1001_0^11 + 4422050479/2857801*c_1001_0^10 - 5486098541/2857801*c_1001_0^9 + 2454785299/2857801*c_1001_0^8 - 30575268/2857801*c_1001_0^7 + 970789838/2857801*c_1001_0^6 + 1149353909/2857801*c_1001_0^5 + 157541232/2857801*c_1001_0^4 + 452811144/2857801*c_1001_0^3 + 22862819/2857801*c_1001_0^2 + 45777980/2857801*c_1001_0 + 15571632/2857801, c_0101_10 + 8461841/2857801*c_1001_0^25 - 7438031/2857801*c_1001_0^24 + 149937278/2857801*c_1001_0^23 - 125028581/2857801*c_1001_0^22 + 1161921954/2857801*c_1001_0^21 - 914696623/2857801*c_1001_0^20 + 5169623458/2857801*c_1001_0^19 - 3809335419/2857801*c_1001_0^18 + 14577779503/2857801*c_1001_0^17 - 9934430612/2857801*c_1001_0^16 + 27137626362/2857801*c_1001_0^15 - 16901621745/2857801*c_1001_0^14 + 33634981602/2857801*c_1001_0^13 - 19176730850/2857801*c_1001_0^12 + 27077880805/2857801*c_1001_0^11 - 14831783759/2857801*c_1001_0^10 + 12763724668/2857801*c_1001_0^9 - 7810735529/2857801*c_1001_0^8 + 1905019894/2857801*c_1001_0^7 - 2252734942/2857801*c_1001_0^6 - 1325725577/2857801*c_1001_0^5 + 134637178/2857801*c_1001_0^4 - 727300667/2857801*c_1001_0^3 + 212265453/2857801*c_1001_0^2 - 107465942/2857801*c_1001_0 + 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PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 29.590 Total time: 29.809 seconds, Total memory usage: 108.78MB