Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 1932718008] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1632 geometric_solution 5.37852735 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 1 -1 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 0.257785175723 0.516819693780 0 4 2 5 0132 0132 1230 0132 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 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 1.021394117255 0.601156373815 3 0 5 1 2031 0132 3201 3012 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 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.772839750841 1.549425029002 5 0 2 0 3012 2310 1302 0132 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 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 0.227160249159 1.549425029002 6 1 6 5 0132 0132 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.277826113643 0.348951526100 2 4 1 3 2310 1302 0132 1230 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 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 0.272840154761 0.427980510523 4 4 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636707051295 0.296934100448 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_6'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 11099642812336/36110906847*c_0101_6^11 + 5267091329872/12036968949*c_0101_6^10 - 4150473182776/36110906847*c_0101_6^9 - 4129351012192/4012322983*c_0101_6^8 - 3117587232872/4012322983*c_0101_6^7 + 34215824312381/36110906847*c_0101_6^6 + 19035720575330/12036968949*c_0101_6^5 - 16550013912845/12036968949*c_0101_6^4 - 3890593992008/12036968949*c_0101_6^3 + 19681403750969/36110906847*c_0101_6^2 + 7567003632695/36110906847*c_0101_6 + 674864831003/36110906847, c_0011_0 - 1, c_0011_3 - 10773987880/236018999*c_0101_6^11 - 17613261752/236018999*c_0101_6^10 + 1283797956/236018999*c_0101_6^9 + 37618103504/236018999*c_0101_6^8 + 34754474492/236018999*c_0101_6^7 - 57777796459/472037998*c_0101_6^6 - 63548828850/236018999*c_0101_6^5 + 75567229067/472037998*c_0101_6^4 + 47255540483/472037998*c_0101_6^3 - 37925878115/472037998*c_0101_6^2 - 11378668989/236018999*c_0101_6 - 2876552335/472037998, c_0011_5 + 853605648/236018999*c_0101_6^11 + 1788501168/236018999*c_0101_6^10 + 640157128/236018999*c_0101_6^9 - 2864361200/236018999*c_0101_6^8 - 4103109344/236018999*c_0101_6^7 + 759351455/236018999*c_0101_6^6 + 5785261940/236018999*c_0101_6^5 - 564595058/236018999*c_0101_6^4 - 2828677465/236018999*c_0101_6^3 + 492561145/236018999*c_0101_6^2 + 1681516246/236018999*c_0101_6 + 739758369/236018999, c_0101_0 + 1278897480/236018999*c_0101_6^11 + 706142392/236018999*c_0101_6^10 - 1871833364/236018999*c_0101_6^9 - 3652887904/236018999*c_0101_6^8 + 305910420/236018999*c_0101_6^7 + 12083363495/472037998*c_0101_6^6 + 2731753704/236018999*c_0101_6^5 - 21366221099/472037998*c_0101_6^4 + 9262721665/472037998*c_0101_6^3 + 4794276505/472037998*c_0101_6^2 - 1147402325/236018999*c_0101_6 - 740664553/472037998, c_0101_1 + 10773987880/236018999*c_0101_6^11 + 17613261752/236018999*c_0101_6^10 - 1283797956/236018999*c_0101_6^9 - 37618103504/236018999*c_0101_6^8 - 34754474492/236018999*c_0101_6^7 + 57777796459/472037998*c_0101_6^6 + 63548828850/236018999*c_0101_6^5 - 75567229067/472037998*c_0101_6^4 - 47255540483/472037998*c_0101_6^3 + 37925878115/472037998*c_0101_6^2 + 11378668989/236018999*c_0101_6 + 2876552335/472037998, c_0101_4 + 64175872/236018999*c_0101_6^11 + 145465744/236018999*c_0101_6^10 + 99976496/236018999*c_0101_6^9 - 201333480/236018999*c_0101_6^8 - 349341872/236018999*c_0101_6^7 - 26111976/236018999*c_0101_6^6 + 433383567/236018999*c_0101_6^5 + 38147956/236018999*c_0101_6^4 - 202499927/236018999*c_0101_6^3 + 4310018/236018999*c_0101_6^2 + 345043481/236018999*c_0101_6 - 49339361/236018999, c_0101_6^12 + 2*c_0101_6^11 + 1/2*c_0101_6^10 - 7/2*c_0101_6^9 - 9/2*c_0101_6^8 + 23/16*c_0101_6^7 + 109/16*c_0101_6^6 - 21/16*c_0101_6^5 - 27/8*c_0101_6^4 + 7/8*c_0101_6^3 + 27/16*c_0101_6^2 + 9/16*c_0101_6 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB