Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 1983376058] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1604 geometric_solution 5.36642424 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.521369165798 0.244272023900 0 2 2 0 3201 0132 1023 0132 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 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 1.149171627579 0.371530332050 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -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 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 0.631694288327 0.439285969804 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 0 0 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 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 0.736692893071 1.058100145251 6 5 2 3 1023 2310 0132 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736692893071 1.058100145251 5 5 3 4 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465217251796 0.389649071868 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.255563624272 0.962298974417 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 193726923686/1069815677*c_0110_5^22 + 1212202710709/152830811*c_0110_5^20 - 80450437421023/1069815677*c_0110_5^18 + 402022943315898/1069815677*c_0110_5^16 - 1250852026662233/1069815677*c_0110_5^14 + 2550896062167476/1069815677*c_0110_5^12 - 3393300093555517/1069815677*c_0110_5^10 + 2806222223016654/1069815677*c_0110_5^8 - 188316368449415/152830811*c_0110_5^6 + 304282536966006/1069815677*c_0110_5^4 - 29927505630065/1069815677*c_0110_5^2 + 797237637570/1069815677, c_0011_0 - 1, c_0011_1 - 2736999546/1069815677*c_0110_5^22 + 119874620566/1069815677*c_0110_5^20 - 1136206674051/1069815677*c_0110_5^18 + 5674818193335/1069815677*c_0110_5^16 - 17642723799646/1069815677*c_0110_5^14 + 35935154455496/1069815677*c_0110_5^12 - 47707476708572/1069815677*c_0110_5^10 + 39319747896459/1069815677*c_0110_5^8 - 2624056006834/152830811*c_0110_5^6 + 4223070748325/1069815677*c_0110_5^4 - 433966465540/1069815677*c_0110_5^2 + 14697498563/1069815677, c_0011_4 - 18064697586/1069815677*c_0110_5^23 + 790886074380/1069815677*c_0110_5^21 - 7486042975643/1069815677*c_0110_5^19 + 5334679778767/152830811*c_0110_5^17 - 115938878968883/1069815677*c_0110_5^15 + 235775888688614/1069815677*c_0110_5^13 - 312387223845120/1069815677*c_0110_5^11 + 5239524227168/21832973*c_0110_5^9 - 17052253400739/152830811*c_0110_5^7 + 27103381375248/1069815677*c_0110_5^5 - 2654627205865/1069815677*c_0110_5^3 + 11244913215/152830811*c_0110_5, c_0011_5 - 13722731835/1069815677*c_0110_5^23 + 601069985399/1069815677*c_0110_5^21 - 5698765552532/1069815677*c_0110_5^19 + 4068023648112/152830811*c_0110_5^17 - 88591704781861/1069815677*c_0110_5^15 + 180633813264607/1069815677*c_0110_5^13 - 240204400727366/1069815677*c_0110_5^11 + 28359691342735/152830811*c_0110_5^9 - 13305914677026/152830811*c_0110_5^7 + 21473043819866/1069815677*c_0110_5^5 - 2133261070228/1069815677*c_0110_5^3 + 8982573016/152830811*c_0110_5, c_0101_0 + 1639972987/152830811*c_0110_5^23 - 503324529263/1069815677*c_0110_5^21 + 4788996533229/1069815677*c_0110_5^19 - 24024151085818/1069815677*c_0110_5^17 + 10729206956841/152830811*c_0110_5^15 - 154127099951625/1069815677*c_0110_5^13 + 206898421242508/1069815677*c_0110_5^11 - 173600014571033/1069815677*c_0110_5^9 + 11945033256039/152830811*c_0110_5^7 - 2886175136188/152830811*c_0110_5^5 + 2120520656561/1069815677*c_0110_5^3 - 66060180392/1069815677*c_0110_5, c_0101_3 - 5994603264/1069815677*c_0110_5^22 + 37476819279/152830811*c_0110_5^20 - 2479350808649/1069815677*c_0110_5^18 + 12346708859988/1069815677*c_0110_5^16 - 38251169517665/1069815677*c_0110_5^14 + 77563257762612/1069815677*c_0110_5^12 - 102323190596075/1069815677*c_0110_5^10 + 83496937004722/1069815677*c_0110_5^8 - 5474706239804/152830811*c_0110_5^6 + 8492493451643/1069815677*c_0110_5^4 - 810659954079/1069815677*c_0110_5^2 + 24164985798/1069815677, c_0110_5^24 - 44*c_0110_5^22 + 424*c_0110_5^20 - 2158*c_0110_5^18 + 6871*c_0110_5^16 - 14458*c_0110_5^14 + 20152*c_0110_5^12 - 18000*c_0110_5^10 + 9721*c_0110_5^8 - 2949*c_0110_5^6 + 477*c_0110_5^4 - 37*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB