Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3953817574] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s536 geometric_solution 4.94882915 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270382165309 0.328491304174 2 0 3 0 0132 2310 0132 0132 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 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 1.235901431537 1.486246915628 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 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 -0.198242695648 0.767959812219 5 4 2 1 3201 3201 2310 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.198242695648 0.767959812219 4 4 3 2 1230 3012 2310 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 0 0 0 1 0 -1 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 -0.060306875359 0.913022880118 5 5 2 3 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.939281389579 1.461514123699 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_5, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 153570810/11143763*c_0101_1^6 - 25455270157/22287526*c_0101_1^5 + 25668570747/44575052*c_0101_1^4 + 14552616055/22287526*c_0101_1^3 + 5648639403/22287526*c_0101_1^2 + 37033352521/44575052*c_0101_1 + 17251719659/44575052, c_0011_0 - 1, c_0011_1 - 185848/55718815*c_0101_1^6 + 15147463/55718815*c_0101_1^5 + 2609480/11143763*c_0101_1^4 + 8198913/55718815*c_0101_1^3 + 3043834/11143763*c_0101_1^2 - 21606501/55718815*c_0101_1 - 34296281/55718815, c_0011_3 - 2393298/55718815*c_0101_1^6 + 198294883/55718815*c_0101_1^5 - 18955407/11143763*c_0101_1^4 - 159113467/55718815*c_0101_1^3 - 8083610/11143763*c_0101_1^2 - 153472296/55718815*c_0101_1 - 29210621/55718815, c_0011_4 - 12953209/55718815*c_0101_1^6 + 1080536114/55718815*c_0101_1^5 - 225210586/11143763*c_0101_1^4 + 62916614/55718815*c_0101_1^3 - 79726019/11143763*c_0101_1^2 - 587562228/55718815*c_0101_1 - 63479978/55718815, c_0011_5 + 7355264/55718815*c_0101_1^6 - 615281609/55718815*c_0101_1^5 + 156518646/11143763*c_0101_1^4 - 179916444/55718815*c_0101_1^3 + 45982812/11143763*c_0101_1^2 + 252793048/55718815*c_0101_1 - 10143347/55718815, c_0101_1^7 - 83*c_0101_1^6 + 52*c_0101_1^5 + 34*c_0101_1^4 + 22*c_0101_1^3 + 57*c_0101_1^2 + 23*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB