Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 2480017219] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1196 geometric_solution 5.08440838 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.656146225978 1.179466452259 0 4 2 3 0132 3120 1302 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 -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 0.639810397768 0.647464750181 1 0 2 2 2031 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854395565556 0.979968550467 3 3 1 0 1302 2031 2031 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 0.420337326530 0.368919435179 5 1 0 5 0132 3120 0132 3201 0 0 0 0 0 -1 0 1 -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 0 1 -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 0 0 0 0 0.042695830635 0.550758877580 4 4 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 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 -1 0 0 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 2.896647790724 1.398302334556 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 1 -1 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.543544037008 0.124328737571 ==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' : 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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_4, c_0011_6, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 184831061/24898266*c_0110_2^11 + 37473523/24898266*c_0110_2^10 + 1084125919/24898266*c_0110_2^9 - 4851492121/24898266*c_0110_2^8 + 6062879777/24898266*c_0110_2^7 - 4317531601/12449133*c_0110_2^6 + 2027184569/8299422*c_0110_2^5 - 2236083251/12449133*c_0110_2^4 + 589451156/4149711*c_0110_2^3 + 667605203/24898266*c_0110_2^2 + 154918891/12449133*c_0110_2 + 305261114/12449133, c_0011_0 - 1, c_0011_3 - 687271/2766474*c_0101_0*c_0110_2^11 + 35867/2766474*c_0101_0*c_0110_2^10 + 4227197/2766474*c_0101_0*c_0110_2^9 - 17362115/2766474*c_0101_0*c_0110_2^8 + 18823441/2766474*c_0101_0*c_0110_2^7 - 12418430/1383237*c_0101_0*c_0110_2^6 + 4845241/922158*c_0101_0*c_0110_2^5 - 3399061/1383237*c_0101_0*c_0110_2^4 + 1082809/461079*c_0101_0*c_0110_2^3 + 8210719/2766474*c_0101_0*c_0110_2^2 - 45226/1383237*c_0101_0*c_0110_2 + 653350/1383237*c_0101_0, c_0011_4 - 687271/2766474*c_0101_0*c_0110_2^11 + 35867/2766474*c_0101_0*c_0110_2^10 + 4227197/2766474*c_0101_0*c_0110_2^9 - 17362115/2766474*c_0101_0*c_0110_2^8 + 18823441/2766474*c_0101_0*c_0110_2^7 - 12418430/1383237*c_0101_0*c_0110_2^6 + 4845241/922158*c_0101_0*c_0110_2^5 - 3399061/1383237*c_0101_0*c_0110_2^4 + 1082809/461079*c_0101_0*c_0110_2^3 + 8210719/2766474*c_0101_0*c_0110_2^2 - 1428463/1383237*c_0101_0*c_0110_2 + 653350/1383237*c_0101_0, c_0011_6 + 1654373/4149711*c_0101_0*c_0110_2^11 - 211744/4149711*c_0101_0*c_0110_2^10 - 18417677/8299422*c_0101_0*c_0110_2^9 + 84740165/8299422*c_0101_0*c_0110_2^8 - 108633235/8299422*c_0101_0*c_0110_2^7 + 176467177/8299422*c_0101_0*c_0110_2^6 - 46536283/2766474*c_0101_0*c_0110_2^5 + 59873143/4149711*c_0101_0*c_0110_2^4 - 31991015/2766474*c_0101_0*c_0110_2^3 + 642487/4149711*c_0101_0*c_0110_2^2 - 13552064/4149711*c_0101_0*c_0110_2 - 15921269/8299422*c_0101_0, c_0101_0^2 - 22903/461079*c_0110_2^11 - 14329/461079*c_0110_2^10 + 96041/461079*c_0110_2^9 - 466205/461079*c_0110_2^8 + 541411/461079*c_0110_2^7 - 1653754/461079*c_0110_2^6 + 446359/153693*c_0110_2^5 - 1188995/461079*c_0110_2^4 + 319751/153693*c_0110_2^3 - 554927/461079*c_0110_2^2 + 1253476/461079*c_0110_2 + 22568/461079, c_0101_5 + 18218/17077*c_0110_2^11 - 3229/17077*c_0110_2^10 - 109614/17077*c_0110_2^9 + 472981/17077*c_0110_2^8 - 569765/17077*c_0110_2^7 + 783489/17077*c_0110_2^6 - 567133/17077*c_0110_2^5 + 385325/17077*c_0110_2^4 - 379591/17077*c_0110_2^3 - 72551/17077*c_0110_2^2 - 48678/17077*c_0110_2 - 34224/17077, c_0110_2^12 - 6*c_0110_2^10 + 25*c_0110_2^9 - 27*c_0110_2^8 + 38*c_0110_2^7 - 22*c_0110_2^6 + 14*c_0110_2^5 - 14*c_0110_2^4 - 10*c_0110_2^3 - 3*c_0110_2^2 - 4*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB