Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2429619270] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1511 geometric_solution 5.31579255 oriented_manifold CS_known 0.0000000000000000 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 1 -1 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 0.310663116365 0.628016390429 3 2 4 0 0132 3012 0132 0132 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 -1 0 1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696192590681 1.071826787432 1 3 0 4 1230 0132 0132 2310 0 0 0 0 0 0 1 -1 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 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696192590681 1.071826787432 1 2 3 3 0132 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980987706301 0.934542749825 2 5 5 1 3201 0132 3201 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 0 0 0 1 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 0 0.121730645476 0.514750885924 4 4 6 6 2310 0132 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.732856640263 1.511182260441 6 5 5 6 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.547928356319 0.141403932926 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : 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' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], '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' : d['c_0101_1'], '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' : 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_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), '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' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 80*c_0101_5^7 - 933*c_0101_5^5 + 965*c_0101_5^3 - 233*c_0101_5, c_0011_0 - 1, c_0011_1 - 4*c_0101_5^7 + 46*c_0101_5^5 - 41*c_0101_5^3 + 8*c_0101_5, c_0011_4 + 3*c_0101_5^6 - 35*c_0101_5^4 + 36*c_0101_5^2 - 8, c_0011_6 - c_0101_5^6 + 12*c_0101_5^4 - 16*c_0101_5^2 + 4, c_0101_0 + c_0101_5^6 - 12*c_0101_5^4 + 16*c_0101_5^2 - 5, c_0101_1 - 5*c_0101_5^7 + 58*c_0101_5^5 - 57*c_0101_5^3 + 14*c_0101_5, c_0101_5^8 - 12*c_0101_5^6 + 16*c_0101_5^4 - 7*c_0101_5^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 586/171*c_0101_5^13 + 3992/171*c_0101_5^11 - 1158/19*c_0101_5^9 + 18755/171*c_0101_5^7 - 21392/171*c_0101_5^5 + 12107/171*c_0101_5^3 - 3128/171*c_0101_5, c_0011_0 - 1, c_0011_1 + 2/19*c_0101_5^13 - 24/19*c_0101_5^11 + 101/19*c_0101_5^9 - 214/19*c_0101_5^7 + 318/19*c_0101_5^5 - 276/19*c_0101_5^3 + 87/19*c_0101_5, c_0011_4 + 27/19*c_0101_5^12 - 172/19*c_0101_5^10 + 404/19*c_0101_5^8 - 685/19*c_0101_5^6 + 683/19*c_0101_5^4 - 268/19*c_0101_5^2 + 44/19, c_0011_6 - 25/19*c_0101_5^12 + 167/19*c_0101_5^10 - 417/19*c_0101_5^8 + 718/19*c_0101_5^6 - 783/19*c_0101_5^4 + 372/19*c_0101_5^2 - 71/19, c_0101_0 - 8/19*c_0101_5^12 + 58/19*c_0101_5^10 - 157/19*c_0101_5^8 + 267/19*c_0101_5^6 - 303/19*c_0101_5^4 + 135/19*c_0101_5^2 - 6/19, c_0101_1 - 6/19*c_0101_5^13 + 34/19*c_0101_5^11 - 56/19*c_0101_5^9 + 53/19*c_0101_5^7 + 15/19*c_0101_5^5 - 141/19*c_0101_5^3 + 81/19*c_0101_5, c_0101_5^14 - 7*c_0101_5^12 + 19*c_0101_5^10 - 35*c_0101_5^8 + 42*c_0101_5^6 - 27*c_0101_5^4 + 9*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB