Magma V2.19-8 Tue Aug 20 2013 23:42:10 on localhost [Seed = 3381636255] Type ? for help. Type -D to quit. Loading file "L13a4224__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4224 geometric_solution 8.06459487 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -11 -1 12 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 0.133428447139 0.469910858398 0 4 5 0 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 1 -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 0 0 0 0 -11 11 -1 1 0 0 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891752438132 0.483565554740 4 4 6 0 0132 1230 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 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133428447139 0.469910858398 7 8 0 7 0132 0132 0132 1023 1 1 1 1 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 12 -12 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 -0.084782138754 1.177376864563 2 1 2 9 0132 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 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 1 -1 0 -11 0 11 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440831439037 1.969290538159 8 8 9 1 2031 2310 1302 0132 1 1 1 1 0 0 0 0 0 0 1 -1 0 1 0 -1 -1 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 -11 11 0 -12 0 12 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.374713596174 0.724072820479 9 10 10 2 3120 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084782138754 1.177376864563 3 10 10 3 0132 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.698002969343 0.352655339261 9 3 5 5 1302 0132 1302 3201 1 1 1 1 0 1 0 -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 -12 0 12 0 0 -12 12 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.055839064553 0.424140280196 5 8 4 6 2031 2031 0132 3120 1 1 1 1 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133187762238 1.389268828697 7 6 6 7 1023 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.698002969343 0.352655339261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0110_8']), 'c_1001_8' : d['c_0101_1'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1100_0']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0011_5']), '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' : d['c_0011_5'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_2'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_7, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 112874494258258493557209/1742695176660077104060*c_1100_0^12 + 45917801797805697512103/1742695176660077104060*c_1100_0^11 - 516587097255933219366217/435673794165019276015*c_1100_0^10 + 134138098716577108247772/87134758833003855203*c_1100_0^9 - 268026648243552041020982/87134758833003855203*c_1100_0^8 + 987402329634664308938879/348539035332015420812*c_1100_0^7 - 200181402783114573048668/87134758833003855203*c_1100_0^6 + 634808609485364889557753/435673794165019276015*c_1100_0^5 - 473955851633162160112999/871347588330038552030*c_1100_0^4 + 154444658537994216485067/1742695176660077104060*c_1100_0^3 - 16422987286903817311897/1742695176660077104060*c_1100_0^2 + 7302914321767838204113/871347588330038552030*c_1100_0 + 52969501842081535132169/1742695176660077104060, c_0011_0 - 1, c_0011_10 - 8860037748802602180/1428438669393505823*c_1100_0^12 - 10190972953036305423/1428438669393505823*c_1100_0^11 + 155148409994277798340/1428438669393505823*c_1100_0^10 - 93922092724860033214/1428438669393505823*c_1100_0^9 + 342133316641351661928/1428438669393505823*c_1100_0^8 - 141006491282672167848/1428438669393505823*c_1100_0^7 + 203490465394248781699/1428438669393505823*c_1100_0^6 - 63152561609499471675/1428438669393505823*c_1100_0^5 + 32737921834976748703/1428438669393505823*c_1100_0^4 + 8252070512427072077/1428438669393505823*c_1100_0^3 + 7826781072742786898/1428438669393505823*c_1100_0^2 + 5629106853470460776/1428438669393505823*c_1100_0 - 1795674300603884487/1428438669393505823, c_0011_5 + 18984268367807813175/1428438669393505823*c_1100_0^12 + 14988654502275330759/1428438669393505823*c_1100_0^11 - 338690689964592070532/1428438669393505823*c_1100_0^10 + 322731069534578264220/1428438669393505823*c_1100_0^9 - 834181993389157583966/1428438669393505823*c_1100_0^8 + 588483628060676848031/1428438669393505823*c_1100_0^7 - 613828282176999019411/1428438669393505823*c_1100_0^6 + 337917312303978574772/1428438669393505823*c_1100_0^5 - 172378944446830286125/1428438669393505823*c_1100_0^4 + 36446621947764761388/1428438669393505823*c_1100_0^3 - 28100491609643071932/1428438669393505823*c_1100_0^2 - 5782471136872078900/1428438669393505823*c_1100_0 + 6104142655911916795/1428438669393505823, c_0101_0 + 4430018874401301090/1428438669393505823*c_1100_0^12 + 10190972953036305423/2856877338787011646*c_1100_0^11 - 77574204997138899170/1428438669393505823*c_1100_0^10 + 46961046362430016607/1428438669393505823*c_1100_0^9 - 171066658320675830964/1428438669393505823*c_1100_0^8 + 70503245641336083924/1428438669393505823*c_1100_0^7 - 203490465394248781699/2856877338787011646*c_1100_0^6 + 63152561609499471675/2856877338787011646*c_1100_0^5 - 32737921834976748703/2856877338787011646*c_1100_0^4 - 8252070512427072077/2856877338787011646*c_1100_0^3 - 3913390536371393449/1428438669393505823*c_1100_0^2 - 4200668184076954953/2856877338787011646*c_1100_0 + 1795674300603884487/2856877338787011646, c_0101_1 - 1, c_0101_10 + 882656129520868878/1428438669393505823*c_1100_0^12 + 1044512707887487833/1428438669393505823*c_1100_0^11 - 15964273728003176436/1428438669393505823*c_1100_0^10 + 8212774765419797207/1428438669393505823*c_1100_0^9 - 23876992395302687825/1428438669393505823*c_1100_0^8 + 7807131464456396692/1428438669393505823*c_1100_0^7 - 6567780771278627010/1428438669393505823*c_1100_0^6 + 1494817497810463279/1428438669393505823*c_1100_0^5 - 2818573463267808773/1428438669393505823*c_1100_0^4 - 646301744718238920/1428438669393505823*c_1100_0^3 - 729027765028417214/1428438669393505823*c_1100_0^2 + 46127498158717661/1428438669393505823*c_1100_0 + 603085897708011731/1428438669393505823, c_0101_2 - 1920489349799744619/1428438669393505823*c_1100_0^12 - 2036774170672717323/1428438669393505823*c_1100_0^11 + 33555148960941554005/1428438669393505823*c_1100_0^10 - 23709849752836356998/1428438669393505823*c_1100_0^9 + 80529205572747415089/1428438669393505823*c_1100_0^8 - 39947054938156777892/1428438669393505823*c_1100_0^7 + 60806238080478120208/1428438669393505823*c_1100_0^6 - 23344074809643674513/1428438669393505823*c_1100_0^5 + 21161821224093892131/1428438669393505823*c_1100_0^4 - 3001477825269610450/1428438669393505823*c_1100_0^3 + 6865267449911095563/1428438669393505823*c_1100_0^2 + 629042435273952600/1428438669393505823*c_1100_0 + 1314651055028287205/1428438669393505823, c_0101_6 + 1, c_0101_7 - 882656129520868878/1428438669393505823*c_1100_0^12 - 1044512707887487833/1428438669393505823*c_1100_0^11 + 15964273728003176436/1428438669393505823*c_1100_0^10 - 8212774765419797207/1428438669393505823*c_1100_0^9 + 23876992395302687825/1428438669393505823*c_1100_0^8 - 7807131464456396692/1428438669393505823*c_1100_0^7 + 6567780771278627010/1428438669393505823*c_1100_0^6 - 1494817497810463279/1428438669393505823*c_1100_0^5 + 2818573463267808773/1428438669393505823*c_1100_0^4 + 646301744718238920/1428438669393505823*c_1100_0^3 + 729027765028417214/1428438669393505823*c_1100_0^2 - 46127498158717661/1428438669393505823*c_1100_0 - 603085897708011731/1428438669393505823, c_0110_8 - 3609283815341700720/1428438669393505823*c_1100_0^12 - 826662840481752756/1428438669393505823*c_1100_0^11 + 66335925492117335434/1428438669393505823*c_1100_0^10 - 96668723710592220792/1428438669393505823*c_1100_0^9 + 187468171392074230581/1428438669393505823*c_1100_0^8 - 203726790940641320804/1428438669393505823*c_1100_0^7 + 167706751999341457763/1428438669393505823*c_1100_0^6 - 135867482163451445965/1428438669393505823*c_1100_0^5 + 63324724173434899419/1428438669393505823*c_1100_0^4 - 28111440697221065767/1428438669393505823*c_1100_0^3 + 9510503633783732636/1428438669393505823*c_1100_0^2 - 1902924190337054490/1428438669393505823*c_1100_0 - 2004884859598422216/1428438669393505823, c_1100_0^13 + 8/7*c_1100_0^12 - 368/21*c_1100_0^11 + 226/21*c_1100_0^10 - 270/7*c_1100_0^9 + 325/21*c_1100_0^8 - 475/21*c_1100_0^7 + 19/3*c_1100_0^6 - 71/21*c_1100_0^5 - 26/21*c_1100_0^4 - 17/21*c_1100_0^3 - 17/21*c_1100_0^2 + 4/21*c_1100_0 + 2/21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB