Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 2362249440] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s826 geometric_solution 5.39483211 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 -1 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 0.385296117587 0.592439883909 3 0 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 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 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598864351862 0.597352113908 5 4 3 0 1023 1023 1023 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 0.598864351862 0.597352113908 1 3 2 3 0132 1302 1023 2031 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 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 1.139475297107 0.558095193942 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.176353886759 1.245508501687 5 2 5 1 2310 1023 3201 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 1 -1 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018824423273 0.689813647698 ==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' : 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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0101_0']})} 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_2, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 30349/13*c_0110_4^10 + 137422/13*c_0110_4^9 - 285002/13*c_0110_4^8 + 423598/13*c_0110_4^7 - 527080/13*c_0110_4^6 + 520970/13*c_0110_4^5 - 335600/13*c_0110_4^4 + 1943*c_0110_4^3 + 229623/13*c_0110_4^2 - 121318/13*c_0110_4 - 57383/13, c_0011_0 - 1, c_0011_2 - 26*c_0110_4^10 + 117*c_0110_4^9 - 242*c_0110_4^8 + 360*c_0110_4^7 - 448*c_0110_4^6 + 443*c_0110_4^5 - 286*c_0110_4^4 + 23*c_0110_4^3 + 193*c_0110_4^2 - 100*c_0110_4 - 47, c_0101_0 - 39*c_0110_4^10 + 177*c_0110_4^9 - 368*c_0110_4^8 + 548*c_0110_4^7 - 683*c_0110_4^6 + 677*c_0110_4^5 - 439*c_0110_4^4 + 38*c_0110_4^3 + 293*c_0110_4^2 - 157*c_0110_4 - 73, c_0101_1 + 13*c_0110_4^10 - 58*c_0110_4^9 + 119*c_0110_4^8 - 176*c_0110_4^7 + 218*c_0110_4^6 - 214*c_0110_4^5 + 135*c_0110_4^4 - 6*c_0110_4^3 - 98*c_0110_4^2 + 48*c_0110_4 + 24, c_0101_3 + 19*c_0110_4^10 - 83*c_0110_4^9 + 168*c_0110_4^8 - 248*c_0110_4^7 + 306*c_0110_4^6 - 299*c_0110_4^5 + 187*c_0110_4^4 - 7*c_0110_4^3 - 137*c_0110_4^2 + 61*c_0110_4 + 32, c_0110_4^11 - 4*c_0110_4^10 + 7*c_0110_4^9 - 9*c_0110_4^8 + 10*c_0110_4^7 - 8*c_0110_4^6 + 2*c_0110_4^5 + 5*c_0110_4^4 - 8*c_0110_4^3 + 4*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB