Magma V2.19-8 Tue Aug 20 2013 23:29:51 on localhost [Seed = 2716321782] Type ? for help. Type -D to quit. Loading file "K9a26__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a26 geometric_solution 8.01486146 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 1 2 0132 0132 0213 0213 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 1 -1 -7 0 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664280388290 0.753034144829 0 0 3 3 0132 0213 0213 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 -1 1 0 7 0 -7 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 0.493873750638 1.107780971063 4 0 5 0 0132 0132 0132 0213 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 -1 1 0 0 0 0 6 0 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664280388290 0.753034144829 4 1 1 6 1302 0213 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 1 -6 0 0 6 0 7 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341206608023 0.746814037101 2 3 7 7 0132 2031 0132 2310 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 1 -1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556077547537 0.371191515332 7 8 8 2 2310 0132 0321 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066802686025 0.596753215107 7 8 3 8 1230 1302 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 -6 6 0 1 0 -1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760569595728 0.486362685325 4 6 5 4 3201 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.079030443387 1.607961823197 6 5 5 6 3012 0132 0321 2031 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 1 0 -1 -1 0 1 0 -6 -1 0 7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066802686025 0.596753215107 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_1001_2'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0110_8'], 'c_1100_1' : d['c_0110_8'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : d['c_1001_2'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_0011_6'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_5']), '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' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_5, c_0011_6, c_0101_2, c_0101_6, c_0110_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 23841621870442/38570288771*c_1001_2^13 + 81520566440435/38570288771*c_1001_2^12 - 285482523171770/38570288771*c_1001_2^11 + 713321961175202/38570288771*c_1001_2^10 - 982079776204792/38570288771*c_1001_2^9 + 1693937809749044/38570288771*c_1001_2^8 - 1038674210341388/38570288771*c_1001_2^7 + 827752355399213/38570288771*c_1001_2^6 - 727618089648833/38570288771*c_1001_2^5 + 988766286235656/38570288771*c_1001_2^4 - 1999025158405/230959813*c_1001_2^3 + 29063071288529/38570288771*c_1001_2^2 - 16544554986633/38570288771*c_1001_2 + 55798499606114/38570288771, c_0011_0 - 1, c_0011_3 + 7844291/239567011*c_1001_2^13 - 25144160/239567011*c_1001_2^12 + 82090627/239567011*c_1001_2^11 - 193979230/239567011*c_1001_2^10 + 203444904/239567011*c_1001_2^9 - 317748083/239567011*c_1001_2^8 + 6878606/239567011*c_1001_2^7 + 146805075/239567011*c_1001_2^6 + 13324516/239567011*c_1001_2^5 - 206018513/239567011*c_1001_2^4 - 494032/1434533*c_1001_2^3 + 505915808/239567011*c_1001_2^2 - 29146004/239567011*c_1001_2 - 175868266/239567011, c_0011_5 - 18623483/239567011*c_1001_2^13 + 69611886/239567011*c_1001_2^12 - 204071605/239567011*c_1001_2^11 + 506261529/239567011*c_1001_2^10 - 516256437/239567011*c_1001_2^9 + 542965835/239567011*c_1001_2^8 - 2882202/239567011*c_1001_2^7 - 1340423319/239567011*c_1001_2^6 - 45718846/239567011*c_1001_2^5 + 306884636/239567011*c_1001_2^4 + 1252931/1434533*c_1001_2^3 - 683992317/239567011*c_1001_2^2 + 65066076/239567011*c_1001_2 + 102886883/239567011, c_0011_6 + 110217954/239567011*c_1001_2^13 - 369340307/239567011*c_1001_2^12 + 1311838728/239567011*c_1001_2^11 - 3275618841/239567011*c_1001_2^10 + 4541144728/239567011*c_1001_2^9 - 8104044265/239567011*c_1001_2^8 + 5095177175/239567011*c_1001_2^7 - 4784507927/239567011*c_1001_2^6 + 4077138050/239567011*c_1001_2^5 - 4664245205/239567011*c_1001_2^4 + 11046905/1434533*c_1001_2^3 - 536999603/239567011*c_1001_2^2 + 263247754/239567011*c_1001_2 - 126111742/239567011, c_0101_2 + 2797431/239567011*c_1001_2^13 - 8997481/239567011*c_1001_2^12 + 28747117/239567011*c_1001_2^11 - 67556617/239567011*c_1001_2^10 + 69362036/239567011*c_1001_2^9 - 97112773/239567011*c_1001_2^8 + 288077/239567011*c_1001_2^7 + 61088548/239567011*c_1001_2^6 + 12839166/239567011*c_1001_2^5 - 347504566/239567011*c_1001_2^4 - 151735/1434533*c_1001_2^3 - 312721334/239567011*c_1001_2^2 - 4621717/239567011*c_1001_2 + 6233004/239567011, c_0101_6 + 2797431/239567011*c_1001_2^13 - 8997481/239567011*c_1001_2^12 + 28747117/239567011*c_1001_2^11 - 67556617/239567011*c_1001_2^10 + 69362036/239567011*c_1001_2^9 - 97112773/239567011*c_1001_2^8 + 288077/239567011*c_1001_2^7 + 61088548/239567011*c_1001_2^6 + 12839166/239567011*c_1001_2^5 - 347504566/239567011*c_1001_2^4 - 151735/1434533*c_1001_2^3 - 312721334/239567011*c_1001_2^2 - 4621717/239567011*c_1001_2 + 6233004/239567011, c_0110_8 + c_1001_2, c_1001_0 + 63698745/239567011*c_1001_2^13 - 262639271/239567011*c_1001_2^12 + 916926590/239567011*c_1001_2^11 - 2438944192/239567011*c_1001_2^10 + 3952205185/239567011*c_1001_2^9 - 6318524424/239567011*c_1001_2^8 + 5795840153/239567011*c_1001_2^7 - 3956200796/239567011*c_1001_2^6 + 3101830920/239567011*c_1001_2^5 - 3771550471/239567011*c_1001_2^4 + 15727969/1434533*c_1001_2^3 - 554484106/239567011*c_1001_2^2 - 202650052/239567011*c_1001_2 - 98251486/239567011, c_1001_2^14 - 4*c_1001_2^13 + 14*c_1001_2^12 - 37*c_1001_2^11 + 59*c_1001_2^10 - 96*c_1001_2^9 + 86*c_1001_2^8 - 62*c_1001_2^7 + 51*c_1001_2^6 - 59*c_1001_2^5 + 38*c_1001_2^4 - 10*c_1001_2^3 + c_1001_2^2 - 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB