Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 4172899837] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3472 geometric_solution 6.68447333 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527787424051 0.474843773617 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -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 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 0.678608339727 0.726899623007 1 5 0 6 1230 0132 0132 0132 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 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 0.678608339727 0.726899623007 1 4 5 5 0132 0213 1230 3012 0 0 0 0 0 -1 1 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 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 0.552079539467 1.106222607260 6 6 3 1 0321 2103 0213 0132 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 0 0 0 0 0 1 -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 1.023095717849 0.990999479391 6 2 3 3 3120 0132 1230 3012 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 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 0.552079539467 1.106222607260 4 4 2 5 0321 2103 0132 3120 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 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 1.023095717849 0.990999479391 ==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_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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 318/13*c_0101_5^2 - 739/13*c_0101_5 + 55/13, c_0011_0 - 1, c_0011_1 + c_0011_6*c_0101_5 - 2*c_0011_6 + c_0101_5, c_0011_2 - c_0011_6*c_0101_5 + 2*c_0011_6 + c_0101_5^2 - c_0101_5, c_0011_4 + c_0011_6 - c_0101_5, c_0011_6^2 - c_0011_6*c_0101_5 + 17/7*c_0101_5^2 + 3/7*c_0101_5 - 8/7, c_0101_0 + c_0101_5^2 - c_0101_5 - 1, c_0101_5^3 - 2*c_0101_5^2 - c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 941/1413*c_0101_5^8 + 68419/22608*c_0101_5^7 - 16937/5652*c_0101_5^6 - 26899/3768*c_0101_5^5 + 342263/22608*c_0101_5^4 + 1777/2826*c_0101_5^3 - 270409/11304*c_0101_5^2 + 223267/22608*c_0101_5 + 16316/1413, c_0011_0 - 1, c_0011_1 - 29/1884*c_0101_5^8 + 25/942*c_0101_5^7 + 49/314*c_0101_5^6 - 769/1884*c_0101_5^5 - 145/942*c_0101_5^4 + 815/942*c_0101_5^3 - 1037/1884*c_0101_5^2 - 419/942*c_0101_5 + 244/471, c_0011_2 - 29/1884*c_0101_5^8 + 25/942*c_0101_5^7 + 49/314*c_0101_5^6 - 769/1884*c_0101_5^5 - 145/942*c_0101_5^4 + 815/942*c_0101_5^3 - 1037/1884*c_0101_5^2 - 419/942*c_0101_5 + 244/471, c_0011_4 + 101/1884*c_0101_5^8 - 217/942*c_0101_5^7 + 181/942*c_0101_5^6 + 1249/1884*c_0101_5^5 - 355/314*c_0101_5^4 - 229/942*c_0101_5^3 + 2897/1884*c_0101_5^2 + 95/942*c_0101_5 - 146/471, c_0011_6 + 101/1884*c_0101_5^8 - 217/942*c_0101_5^7 + 181/942*c_0101_5^6 + 1249/1884*c_0101_5^5 - 355/314*c_0101_5^4 - 229/942*c_0101_5^3 + 2897/1884*c_0101_5^2 + 95/942*c_0101_5 - 146/471, c_0101_0 - 43/1884*c_0101_5^8 + 5/471*c_0101_5^7 + 51/314*c_0101_5^6 - 113/628*c_0101_5^5 - 62/157*c_0101_5^4 + 169/942*c_0101_5^3 + 1061/1884*c_0101_5^2 - 178/471*c_0101_5 - 499/471, c_0101_5^9 - 4*c_0101_5^8 + 2*c_0101_5^7 + 13*c_0101_5^6 - 16*c_0101_5^5 - 14*c_0101_5^4 + 33*c_0101_5^3 + 8*c_0101_5^2 - 24*c_0101_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB