Magma V2.19-8 Tue Aug 20 2013 16:19:13 on localhost [Seed = 3204391867] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3337 geometric_solution 6.47961134 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 0132 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 0 0 1 -1 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 1.064912938463 0.482625258248 0 4 6 5 0132 0132 0132 0132 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 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 0.991538091304 0.716933027772 6 0 0 3 1230 0132 3120 3201 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 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 0.599366462607 0.764748838607 5 2 0 6 0213 2310 0132 1302 0 0 0 0 0 -1 0 1 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 0.417094326925 0.629887301130 5 1 5 6 3012 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.599366462607 0.764748838607 3 4 1 4 0213 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.140169623927 0.872075393992 4 2 3 1 3012 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.462255359944 0.636579075735 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : 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_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_1001_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_3, c_0011_5, c_0011_6, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6664/225*c_1001_0^10 + 16396/225*c_1001_0^8 + 12602/75*c_1001_0^6 - 52607/450*c_1001_0^4 - 347/300*c_1001_0^2 + 5107/900, c_0011_0 - 1, c_0011_3 + 125/3*c_1001_0^10 + 275/3*c_1001_0^8 + 865/4*c_1001_0^6 - 10049/48*c_1001_0^4 + 641/8*c_1001_0^2 - 577/48, c_0011_5 + 171*c_1001_0^10 + 385*c_1001_0^8 + 3637/4*c_1001_0^6 - 12919/16*c_1001_0^4 + 2407/8*c_1001_0^2 - 683/16, c_0011_6 + 61/3*c_1001_0^11 + 151/3*c_1001_0^9 + 481/4*c_1001_0^7 - 3217/48*c_1001_0^5 + 203/8*c_1001_0^3 - 125/48*c_1001_0, c_0101_2 + 638/3*c_1001_0^11 + 1430/3*c_1001_0^9 + 2251/2*c_1001_0^7 - 24403/24*c_1001_0^5 + 381*c_1001_0^3 - 1313/24*c_1001_0, c_0101_4 - 385/3*c_1001_0^11 - 871/3*c_1001_0^9 - 2741/4*c_1001_0^7 + 28789/48*c_1001_0^5 - 1729/8*c_1001_0^3 + 1469/48*c_1001_0, c_1001_0^12 + 2*c_1001_0^10 + 19/4*c_1001_0^8 - 97/16*c_1001_0^6 + 47/16*c_1001_0^4 - 11/16*c_1001_0^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB