Magma V2.19-8 Tue Aug 20 2013 23:29:48 on localhost [Seed = 4206664877] Type ? for help. Type -D to quit. Loading file "K14n21627__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21627 geometric_solution 7.85915479 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -1 -7 8 1 0 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017316881354 0.569467988556 0 5 7 6 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 -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 1.687042936313 1.164091812877 7 0 8 3 2310 0132 0132 2031 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 1 -1 0 -7 0 0 7 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380234086291 0.687441670361 8 2 7 0 2310 1302 2310 0132 0 0 0 0 0 -1 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 0 0 0 0 0 -7 0 7 -8 0 0 8 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380234086291 0.687441670361 5 8 0 6 2031 1023 0132 2031 0 0 0 0 0 0 -1 1 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 -8 8 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289514047527 1.222592627080 6 1 4 7 3201 0132 1302 1230 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 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511770782009 0.912380313576 8 4 1 5 1230 1302 0132 2310 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 -7 0 7 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444781427109 0.187283123486 5 3 2 1 3012 3201 3201 0132 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 1 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612493317120 0.857021871459 4 6 3 2 1023 3012 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083271965700 0.673216605154 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0101_0']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_0']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_7, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1450102230251094803/989506322017531175*c_0110_4^12 - 13168086237915644994/989506322017531175*c_0110_4^11 - 35697310913317995588/989506322017531175*c_0110_4^10 - 37892614281210461/5907500429955410*c_0110_4^9 + 47148239926369955081/989506322017531175*c_0110_4^8 + 6688221406025155859/989506322017531175*c_0110_4^7 - 7265272505601884843/179910240366823850*c_0110_4^6 - 26116976525751722877/1979012644035062350*c_0110_4^5 - 33640615331576943653/1979012644035062350*c_0110_4^4 - 37760477950028235551/1979012644035062350*c_0110_4^3 - 368179564210512436/197901264403506235*c_0110_4^2 - 156205064922020051/395802528807012470*c_0110_4 + 1363298896540517077/1979012644035062350, c_0011_0 - 1, c_0011_3 - 6574119882/13816452113*c_0110_4^12 - 59817737654/13816452113*c_0110_4^11 - 166440891132/13816452113*c_0110_4^10 - 63053492371/13816452113*c_0110_4^9 + 130855588515/13816452113*c_0110_4^8 + 22608054300/13816452113*c_0110_4^7 - 88413314458/13816452113*c_0110_4^6 - 52870396029/13816452113*c_0110_4^5 - 147779151184/13816452113*c_0110_4^4 - 124450559412/13816452113*c_0110_4^3 - 64564338383/13816452113*c_0110_4^2 - 29933771772/13816452113*c_0110_4 - 13774975514/13816452113, c_0011_4 - 2327576200/13816452113*c_0110_4^12 - 17621587428/13816452113*c_0110_4^11 - 22557898870/13816452113*c_0110_4^10 + 98243202438/13816452113*c_0110_4^9 + 128362843206/13816452113*c_0110_4^8 - 168365657481/13816452113*c_0110_4^7 - 152183158973/13816452113*c_0110_4^6 + 181586505016/13816452113*c_0110_4^5 + 61179162030/13816452113*c_0110_4^4 - 52430534901/13816452113*c_0110_4^3 + 49840546474/13816452113*c_0110_4^2 - 11469057628/13816452113*c_0110_4 - 7281931487/13816452113, c_0011_6 + 15438274700/13816452113*c_0110_4^12 + 137339684650/13816452113*c_0110_4^11 + 353885403078/13816452113*c_0110_4^10 - 5158358614/13816452113*c_0110_4^9 - 522071352589/13816452113*c_0110_4^8 + 18430917271/13816452113*c_0110_4^7 + 452290608008/13816452113*c_0110_4^6 + 69805152606/13816452113*c_0110_4^5 + 135829761860/13816452113*c_0110_4^4 + 147953613191/13816452113*c_0110_4^3 - 16837923971/13816452113*c_0110_4^2 - 903802100/13816452113*c_0110_4 - 7497504079/13816452113, c_0011_7 - 1, c_0101_0 + 12111676328/13816452113*c_0110_4^12 + 104035754720/13816452113*c_0110_4^11 + 247495683940/13816452113*c_0110_4^10 - 64857703920/13816452113*c_0110_4^9 - 353705695108/13816452113*c_0110_4^8 + 112424671244/13816452113*c_0110_4^7 + 259066221992/13816452113*c_0110_4^6 - 20468711924/13816452113*c_0110_4^5 + 155674229961/13816452113*c_0110_4^4 + 89966550017/13816452113*c_0110_4^3 - 11187806843/13816452113*c_0110_4^2 + 5214341287/13816452113*c_0110_4 - 8661292179/13816452113, c_0101_1 + 11299620746/13816452113*c_0110_4^12 + 104188970400/13816452113*c_0110_4^11 + 286301024812/13816452113*c_0110_4^10 + 36527162237/13816452113*c_0110_4^9 - 473341175272/13816452113*c_0110_4^8 - 28616508468/13816452113*c_0110_4^7 + 510435966103/13816452113*c_0110_4^6 + 50273034609/13816452113*c_0110_4^5 - 45321019711/13816452113*c_0110_4^4 + 203282160493/13816452113*c_0110_4^3 + 31916657173/13816452113*c_0110_4^2 - 14305544096/13816452113*c_0110_4 + 8663324912/13816452113, c_0101_7 + 6433211534/13816452113*c_0110_4^12 + 64669627818/13816452113*c_0110_4^11 + 215368773242/13816452113*c_0110_4^10 + 182407962337/13816452113*c_0110_4^9 - 190548848237/13816452113*c_0110_4^8 - 262135660103/13816452113*c_0110_4^7 + 163547694480/13816452113*c_0110_4^6 + 275617681255/13816452113*c_0110_4^5 + 115827559460/13816452113*c_0110_4^4 + 124275398060/13816452113*c_0110_4^3 + 88662552821/13816452113*c_0110_4^2 + 4251884129/13816452113*c_0110_4 + 9844937111/13816452113, c_0110_4^13 + 9*c_0110_4^12 + 24*c_0110_4^11 + 7/2*c_0110_4^10 - 59/2*c_0110_4^9 + 25*c_0110_4^7 + 5*c_0110_4^6 + 25/2*c_0110_4^5 + 14*c_0110_4^4 + 7/2*c_0110_4^3 + 5/2*c_0110_4^2 + 1/2*c_0110_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB