Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 3414841255] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s822 geometric_solution 5.38917360 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466787023458 0.297400418993 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -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 1.009443994888 0.673426769465 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369251901660 0.904973166844 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 0.369251901660 0.904973166844 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.084935276994 0.905081910323 5 3 5 2 2031 0132 1302 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118869320328 1.264622059493 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 63690318814348/191405422550511*c_0101_4^21 + 1008297603560077/191405422550511*c_0101_4^19 - 6462554753626619/191405422550511*c_0101_4^17 + 23625500138368091/191405422550511*c_0101_4^15 - 71169308924011279/191405422550511*c_0101_4^13 + 22700794317827869/21267269172279*c_0101_4^11 - 145214663650356868/63801807516837*c_0101_4^9 + 191976540423797789/63801807516837*c_0101_4^7 - 457199923173541300/191405422550511*c_0101_4^5 + 219486339997104317/191405422550511*c_0101_4^3 - 5793021713337167/21267269172279*c_0101_4, c_0011_0 - 1, c_0011_1 + 17843826074/1635943782483*c_0101_4^20 - 269612672480/1635943782483*c_0101_4^18 + 1613413579447/1635943782483*c_0101_4^16 - 5426875591210/1635943782483*c_0101_4^14 + 15921818214317/1635943782483*c_0101_4^12 - 5057864522415/181771531387*c_0101_4^10 + 9808265439041/181771531387*c_0101_4^8 - 31975843682204/545314594161*c_0101_4^6 + 57579936647747/1635943782483*c_0101_4^4 - 19204370313664/1635943782483*c_0101_4^2 + 261067516866/181771531387, c_0011_3 - 362663299990/63801807516837*c_0101_4^21 + 4568056781035/63801807516837*c_0101_4^19 - 21446353275881/63801807516837*c_0101_4^17 + 58705865499566/63801807516837*c_0101_4^15 - 191838111184645/63801807516837*c_0101_4^13 + 167609001000707/21267269172279*c_0101_4^11 - 235275788162963/21267269172279*c_0101_4^9 + 227598107300221/21267269172279*c_0101_4^7 - 585356298997477/63801807516837*c_0101_4^5 + 336747356283068/63801807516837*c_0101_4^3 - 15456640472398/7089089724093*c_0101_4, c_0101_0 - 880836060538/63801807516837*c_0101_4^21 + 13755855256987/63801807516837*c_0101_4^19 - 86335434738941/63801807516837*c_0101_4^17 + 307001962144919/63801807516837*c_0101_4^15 - 912424612290055/63801807516837*c_0101_4^13 + 871337966443439/21267269172279*c_0101_4^11 - 1805526372784988/21267269172279*c_0101_4^9 + 2223519058719592/21267269172279*c_0101_4^7 - 4731114531193231/63801807516837*c_0101_4^5 + 1937647028318255/63801807516837*c_0101_4^3 - 33533600380342/7089089724093*c_0101_4, c_0101_1 - 12814091729/545314594161*c_0101_4^20 + 557572107208/1635943782483*c_0101_4^18 - 1060500541154/545314594161*c_0101_4^16 + 10307603495924/1635943782483*c_0101_4^14 - 10195442475821/545314594161*c_0101_4^12 + 86295575479882/1635943782483*c_0101_4^10 - 159472938993068/1635943782483*c_0101_4^8 + 165798773968693/1635943782483*c_0101_4^6 - 97066569362747/1635943782483*c_0101_4^4 + 30801187752728/1635943782483*c_0101_4^2 - 221997976344/181771531387, c_0101_4^22 - 16*c_0101_4^20 + 104*c_0101_4^18 - 386*c_0101_4^16 + 1168*c_0101_4^14 - 3357*c_0101_4^12 + 7266*c_0101_4^10 - 9870*c_0101_4^8 + 8092*c_0101_4^6 - 4037*c_0101_4^4 + 1089*c_0101_4^2 - 81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB