Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 2648441179] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0259 geometric_solution 4.29897598 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1.352113860892 0.141248391665 0 2 2 0 3201 0132 1023 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 1.102523314198 0.122403102728 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064427732732 0.255590525015 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750468577072 0.299846640691 5 3 6 5 2031 0132 0132 3201 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408431127093 0.562034918781 6 4 4 3 1023 2310 1302 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 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 0.408431127093 0.562034918781 6 5 6 4 2310 1023 3201 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.846139991633 1.164358419151 ==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_5']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), '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' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], '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_5, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1622938155133/250518255753*c_0110_4^16 - 24639121538711/250518255753*c_0110_4^14 - 64290960725674/83506085251*c_0110_4^12 + 128804497808017/83506085251*c_0110_4^10 + 1541217869345387/250518255753*c_0110_4^8 - 908522063174160/83506085251*c_0110_4^6 + 1151717946174316/250518255753*c_0110_4^4 - 70102196332045/250518255753*c_0110_4^2 - 585798852625/250518255753, c_0011_0 - 1, c_0011_1 - 992467156/83506085251*c_0110_4^16 - 12511507719/83506085251*c_0110_4^14 - 77121874351/83506085251*c_0110_4^12 + 572118027016/83506085251*c_0110_4^10 + 596035689671/83506085251*c_0110_4^8 - 4396710126239/83506085251*c_0110_4^6 + 2863218418689/83506085251*c_0110_4^4 + 41374281346/83506085251*c_0110_4^2 + 8306043812/83506085251, c_0011_5 - 20992761354/83506085251*c_0110_4^17 - 317461965342/83506085251*c_0110_4^15 - 2475045265180/83506085251*c_0110_4^13 + 5159881174400/83506085251*c_0110_4^11 + 19749193953313/83506085251*c_0110_4^9 - 36575605133762/83506085251*c_0110_4^7 + 16077969098102/83506085251*c_0110_4^5 - 876934797295/83506085251*c_0110_4^3 + 146922019871/83506085251*c_0110_4, c_0101_0 - 7207301396/83506085251*c_0110_4^17 - 105887200319/83506085251*c_0110_4^15 - 801745520072/83506085251*c_0110_4^13 + 2154474959231/83506085251*c_0110_4^11 + 6158494935675/83506085251*c_0110_4^9 - 15581793128981/83506085251*c_0110_4^7 + 9806440021020/83506085251*c_0110_4^5 - 2072096982813/83506085251*c_0110_4^3 + 298208419915/83506085251*c_0110_4, c_0101_2 - 16592007794/83506085251*c_0110_4^17 - 251442708416/83506085251*c_0110_4^15 - 1965090841127/83506085251*c_0110_4^13 + 4002135381169/83506085251*c_0110_4^11 + 15631445023621/83506085251*c_0110_4^9 - 28246391578156/83506085251*c_0110_4^7 + 12651981088664/83506085251*c_0110_4^5 - 1423484286684/83506085251*c_0110_4^3 + 292274820272/83506085251*c_0110_4, c_0101_3 + 513410689/83506085251*c_0110_4^16 + 8960872933/83506085251*c_0110_4^14 + 79848839759/83506085251*c_0110_4^12 + 34404074749/83506085251*c_0110_4^10 - 616690540555/83506085251*c_0110_4^8 - 393328958211/83506085251*c_0110_4^6 + 384591691479/83506085251*c_0110_4^4 + 114522439654/83506085251*c_0110_4^2 + 49347549888/83506085251, c_0110_4^18 + 15*c_0110_4^16 + 116*c_0110_4^14 - 261*c_0110_4^12 - 917*c_0110_4^10 + 1864*c_0110_4^8 - 928*c_0110_4^6 + 96*c_0110_4^4 - 10*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB