Magma V2.19-8 Tue Aug 20 2013 23:39:57 on localhost [Seed = 829904259] Type ? for help. Type -D to quit. Loading file "K14n22589__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22589 geometric_solution 8.87815966 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 1 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 0 0 0 0.509229276652 0.700663565870 0 5 2 6 0132 0132 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371192406102 0.265779177460 7 0 8 1 0132 0132 0132 1302 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 -1 1 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 0.413152376108 0.716469016636 6 9 10 0 0132 0132 0132 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 0.598371716868 0.116005520011 10 6 0 8 2103 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.744071563181 1.991722937778 9 1 10 7 3012 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.467098153843 1.076441041431 3 4 1 9 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031881207479 0.610421109970 2 9 5 8 0132 3012 1230 0321 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197249194287 1.179793321599 4 7 10 2 3012 0321 1302 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 0 1 -1 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 1.059601376444 0.774030088374 7 3 6 5 1230 0132 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345475248790 0.445114351581 8 5 4 3 2031 1230 2103 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 -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 0.624179980943 0.635657884502 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_0101_1'], 'c_1100_10' : negation(d['c_0011_8']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : negation(d['c_0011_8']), '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_3'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 174963528350730837/48686299808327530*c_1001_0^12 - 801714196745495567/24343149904163765*c_1001_0^11 + 3259205423698305572/24343149904163765*c_1001_0^10 - 1714387023477480596/4868629980832753*c_1001_0^9 + 34499325071751183343/48686299808327530*c_1001_0^8 - 27318629897003391411/24343149904163765*c_1001_0^7 + 1131905823084522504/785262900134315*c_1001_0^6 - 36966164957450669357/24343149904163765*c_1001_0^5 + 12781544438738994811/9737259961665506*c_1001_0^4 - 22004221454675592793/24343149904163765*c_1001_0^3 + 24496270342810258277/48686299808327530*c_1001_0^2 - 4327637176052146358/24343149904163765*c_1001_0 + 2180426136748795821/48686299808327530, c_0011_0 - 1, c_0011_10 + 456263/1620583*c_1001_0^12 - 4090485/1620583*c_1001_0^11 + 16127799/1620583*c_1001_0^10 - 40890259/1620583*c_1001_0^9 + 78963612/1620583*c_1001_0^8 - 118689214/1620583*c_1001_0^7 + 143290996/1620583*c_1001_0^6 - 139305635/1620583*c_1001_0^5 + 109127806/1620583*c_1001_0^4 - 65805476/1620583*c_1001_0^3 + 30082643/1620583*c_1001_0^2 - 7533528/1620583*c_1001_0 - 25466/1620583, c_0011_3 - 209957/3241166*c_1001_0^12 + 651720/1620583*c_1001_0^11 - 1270834/1620583*c_1001_0^10 + 601764/1620583*c_1001_0^9 + 4179869/3241166*c_1001_0^8 - 8494844/1620583*c_1001_0^7 + 15025851/1620583*c_1001_0^6 - 18645891/1620583*c_1001_0^5 + 35659477/3241166*c_1001_0^4 - 12599020/1620583*c_1001_0^3 + 12120611/3241166*c_1001_0^2 - 3071431/1620583*c_1001_0 - 2647791/3241166, c_0011_8 - 14691/1620583*c_1001_0^12 + 370549/1620583*c_1001_0^11 - 2560319/1620583*c_1001_0^10 + 8872929/1620583*c_1001_0^9 - 20540754/1620583*c_1001_0^8 + 37022886/1620583*c_1001_0^7 - 52533494/1620583*c_1001_0^6 + 60290350/1620583*c_1001_0^5 - 55408303/1620583*c_1001_0^4 + 41539644/1620583*c_1001_0^3 - 22648917/1620583*c_1001_0^2 + 10128035/1620583*c_1001_0 - 1567231/1620583, c_0101_0 + 266964/1620583*c_1001_0^12 - 2306693/1620583*c_1001_0^11 + 8694274/1620583*c_1001_0^10 - 21163986/1620583*c_1001_0^9 + 39797593/1620583*c_1001_0^8 - 58843182/1620583*c_1001_0^7 + 71349368/1620583*c_1001_0^6 - 70762463/1620583*c_1001_0^5 + 57918727/1620583*c_1001_0^4 - 36265937/1620583*c_1001_0^3 + 18644486/1620583*c_1001_0^2 - 3604390/1620583*c_1001_0 + 683836/1620583, c_0101_1 + 999085/3241166*c_1001_0^12 - 4352632/1620583*c_1001_0^11 + 16427152/1620583*c_1001_0^10 - 39679934/1620583*c_1001_0^9 + 148007933/3241166*c_1001_0^8 - 108087197/1620583*c_1001_0^7 + 127318619/1620583*c_1001_0^6 - 122554196/1620583*c_1001_0^5 + 191489095/3241166*c_1001_0^4 - 58250491/1620583*c_1001_0^3 + 59986343/3241166*c_1001_0^2 - 6526399/1620583*c_1001_0 + 6313957/3241166, c_0101_3 - 473753/3241166*c_1001_0^12 + 2010170/1620583*c_1001_0^11 - 7520452/1620583*c_1001_0^10 + 18744643/1620583*c_1001_0^9 - 74153741/3241166*c_1001_0^8 + 58225513/1620583*c_1001_0^7 - 76367214/1620583*c_1001_0^6 + 83287254/1620583*c_1001_0^5 - 150611273/3241166*c_1001_0^4 + 55431002/1620583*c_1001_0^3 - 66748397/3241166*c_1001_0^2 + 12503965/1620583*c_1001_0 - 9029899/3241166, c_0101_5 - 792701/3241166*c_1001_0^12 + 3591592/1620583*c_1001_0^11 - 14313534/1620583*c_1001_0^10 + 36673919/1620583*c_1001_0^9 - 143765809/3241166*c_1001_0^8 + 110287495/1620583*c_1001_0^7 - 135997813/1620583*c_1001_0^6 + 136821936/1620583*c_1001_0^5 - 221154933/3241166*c_1001_0^4 + 68883821/1620583*c_1001_0^3 - 71428261/3241166*c_1001_0^2 + 9068055/1620583*c_1001_0 - 5195011/3241166, c_0101_7 - 28634/1620583*c_1001_0^12 + 275250/1620583*c_1001_0^11 - 1202299/1620583*c_1001_0^10 + 3399831/1620583*c_1001_0^9 - 7167316/1620583*c_1001_0^8 + 11980414/1620583*c_1001_0^7 - 17082328/1620583*c_1001_0^6 + 20628229/1620583*c_1001_0^5 - 21716489/1620583*c_1001_0^4 + 20638346/1620583*c_1001_0^3 - 14186205/1620583*c_1001_0^2 + 8798620/1620583*c_1001_0 - 2319110/1620583, c_0101_9 + 580565/3241166*c_1001_0^12 - 2746649/1620583*c_1001_0^11 + 11606803/1620583*c_1001_0^10 - 31476513/1620583*c_1001_0^9 + 128524093/3241166*c_1001_0^8 - 102986307/1620583*c_1001_0^7 + 133428829/1620583*c_1001_0^6 - 140242495/1620583*c_1001_0^5 + 240354999/3241166*c_1001_0^4 - 81154925/1620583*c_1001_0^3 + 87182169/3241166*c_1001_0^2 - 14284989/1620583*c_1001_0 + 6663015/3241166, c_1001_0^13 - 9*c_1001_0^12 + 36*c_1001_0^11 - 94*c_1001_0^10 + 189*c_1001_0^9 - 299*c_1001_0^8 + 386*c_1001_0^7 - 410*c_1001_0^6 + 359*c_1001_0^5 - 253*c_1001_0^4 + 147*c_1001_0^3 - 55*c_1001_0^2 + 19*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB