Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 4273955377] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0337 geometric_solution 4.36429707 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 3.589137505923 0.825440328566 0 1 1 0 0132 3201 2310 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 -0.517760625436 0.058770933341 0 3 3 0 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.379570568096 0.424920551340 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.094671931740 0.831051058620 6 5 5 3 0132 3012 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -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 1.144484166363 0.831748726461 4 6 3 4 1230 0132 0132 3012 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 -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 1.144484166363 0.831748726461 4 5 6 6 0132 0132 2031 1302 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 -1 0 0 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 0.600904579810 0.584210834365 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2348067980089/1984440545381*c_0101_4^14 + 13032962123361/1984440545381*c_0101_4^13 + 4486374462301/283491506483*c_0101_4^12 + 109394958981975/1984440545381*c_0101_4^11 + 171588074606877/1984440545381*c_0101_4^10 + 104343666040980/1984440545381*c_0101_4^9 + 120080016892690/1984440545381*c_0101_4^8 + 158240270152168/1984440545381*c_0101_4^7 + 608361886481/283491506483*c_0101_4^6 - 138245803202117/1984440545381*c_0101_4^5 - 108819121240166/1984440545381*c_0101_4^4 - 95232256474535/1984440545381*c_0101_4^3 - 158281069825832/1984440545381*c_0101_4^2 - 114980279113656/1984440545381*c_0101_4 - 28392993216793/1984440545381, c_0011_0 - 1, c_0011_2 + 105683148094/283491506483*c_0101_4^14 + 602320326120/283491506483*c_0101_4^13 + 1397392852708/283491506483*c_0101_4^12 + 4510947261397/283491506483*c_0101_4^11 + 6814547366517/283491506483*c_0101_4^10 + 544846576729/283491506483*c_0101_4^9 - 2979793058975/283491506483*c_0101_4^8 + 1925078569928/283491506483*c_0101_4^7 - 583248649443/283491506483*c_0101_4^6 - 6994556207561/283491506483*c_0101_4^5 - 4758973749116/283491506483*c_0101_4^4 - 150170538597/283491506483*c_0101_4^3 + 138753977109/283491506483*c_0101_4^2 - 135996761141/283491506483*c_0101_4 + 443351077982/283491506483, c_0011_4 + 235366576814/283491506483*c_0101_4^14 + 1317250713571/283491506483*c_0101_4^13 + 2990841948137/283491506483*c_0101_4^12 + 9814674744767/283491506483*c_0101_4^11 + 14322389938292/283491506483*c_0101_4^10 + 289891589940/283491506483*c_0101_4^9 - 5829912408518/283491506483*c_0101_4^8 + 4759234612081/283491506483*c_0101_4^7 - 1075412065317/283491506483*c_0101_4^6 - 13912750195476/283491506483*c_0101_4^5 - 9914515304035/283491506483*c_0101_4^4 - 287133549451/283491506483*c_0101_4^3 + 372924743607/283491506483*c_0101_4^2 - 363292037336/283491506483*c_0101_4 + 359708260853/283491506483, c_0101_0 + 45796068666/283491506483*c_0101_4^14 + 281878912426/283491506483*c_0101_4^13 + 663455982038/283491506483*c_0101_4^12 + 1923371068127/283491506483*c_0101_4^11 + 3220997232689/283491506483*c_0101_4^10 - 698465683070/283491506483*c_0101_4^9 - 3744415571716/283491506483*c_0101_4^8 + 1021853749359/283491506483*c_0101_4^7 + 932114708673/283491506483*c_0101_4^6 - 3942613681707/283491506483*c_0101_4^5 - 2675966313306/283491506483*c_0101_4^4 + 1730466895798/283491506483*c_0101_4^3 + 1473890769747/283491506483*c_0101_4^2 - 210333949497/283491506483*c_0101_4 + 151797636954/283491506483, c_0101_1 + 6432707829/283491506483*c_0101_4^14 + 43116898262/283491506483*c_0101_4^13 + 102584418662/283491506483*c_0101_4^12 + 259343516962/283491506483*c_0101_4^11 + 475904673071/283491506483*c_0101_4^10 - 306476593733/283491506483*c_0101_4^9 - 1092192571882/283491506483*c_0101_4^8 + 27988507811/283491506483*c_0101_4^7 + 357692404871/283491506483*c_0101_4^6 - 682298423008/283491506483*c_0101_4^5 - 515733794746/283491506483*c_0101_4^4 + 871520323845/283491506483*c_0101_4^3 + 801784800722/283491506483*c_0101_4^2 - 44943029168/283491506483*c_0101_4 + 28961556482/283491506483, c_0101_3 + 133237884827/283491506483*c_0101_4^14 + 769078505096/283491506483*c_0101_4^13 + 1773344307324/283491506483*c_0101_4^12 + 5617843033981/283491506483*c_0101_4^11 + 8662621396635/283491506483*c_0101_4^10 - 126564828154/283491506483*c_0101_4^9 - 4725824556000/283491506483*c_0101_4^8 + 3398766385410/283491506483*c_0101_4^7 - 109830857965/283491506483*c_0101_4^6 - 9203391121020/283491506483*c_0101_4^5 - 5965683314189/283491506483*c_0101_4^4 + 719829339957/283491506483*c_0101_4^3 + 495062738424/283491506483*c_0101_4^2 - 413078119105/283491506483*c_0101_4 + 337158495623/283491506483, c_0101_4^15 + 6*c_0101_4^14 + 15*c_0101_4^13 + 47*c_0101_4^12 + 78*c_0101_4^11 + 27*c_0101_4^10 - 23*c_0101_4^9 + 9*c_0101_4^8 + 3*c_0101_4^7 - 61*c_0101_4^6 - 68*c_0101_4^5 - 19*c_0101_4^4 + c_0101_4^3 - c_0101_4^2 + c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB