Magma V2.19-8 Tue Aug 20 2013 16:17:11 on localhost [Seed = 1309659806] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1431 geometric_solution 5.26125439 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 1.719841218124 0.228395439747 0 5 4 2 0132 0132 3012 3012 0 0 0 0 0 1 0 -1 -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 0 -1 -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 0.401034277624 0.292139982660 6 0 1 3 0132 0132 1230 1230 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703535390329 0.690613479500 2 6 6 0 3012 1302 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.357831020696 0.836111540031 5 1 0 6 2031 1230 0132 2031 0 0 0 0 0 -1 0 1 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211690527857 0.385050110756 5 1 4 5 3012 0132 1302 1230 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 1.005854676720 0.768211229767 2 4 3 3 0132 1302 3120 2031 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780819139976 1.195715513908 ==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' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_4, c_0101_0, c_0101_2, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 25415587621/1782825394*c_1001_2^9 + 5907578981/509378684*c_1001_2^8 + 109577866183/3565650788*c_1001_2^7 - 386437730405/3565650788*c_1001_2^6 - 326613022243/3565650788*c_1001_2^5 + 353732179809/891412697*c_1001_2^4 + 2189637095/127344671*c_1001_2^3 - 76053660826/127344671*c_1001_2^2 - 26831443201/127344671*c_1001_2 + 275112418967/3565650788, c_0011_0 - 1, c_0011_3 + 2757/9902*c_1001_2^9 - 1680/4951*c_1001_2^8 - 1603/4951*c_1001_2^7 + 10355/4951*c_1001_2^6 + 6691/9902*c_1001_2^5 - 34739/4951*c_1001_2^4 + 14211/4951*c_1001_2^3 + 33972/4951*c_1001_2^2 + 20299/9902*c_1001_2 + 5807/9902, c_0011_4 + 43341/168334*c_1001_2^9 - 29050/84167*c_1001_2^8 - 33701/84167*c_1001_2^7 + 181737/84167*c_1001_2^6 + 91975/168334*c_1001_2^5 - 628132/84167*c_1001_2^4 + 284721/84167*c_1001_2^3 + 782997/84167*c_1001_2^2 - 24241/168334*c_1001_2 - 176637/168334, c_0101_0 + 75451/168334*c_1001_2^9 - 47970/84167*c_1001_2^8 - 52579/84167*c_1001_2^7 + 295407/84167*c_1001_2^6 + 206347/168334*c_1001_2^5 - 1020656/84167*c_1001_2^4 + 399144/84167*c_1001_2^3 + 1196707/84167*c_1001_2^2 + 490933/168334*c_1001_2 - 121259/168334, c_0101_2 - 4753/168334*c_1001_2^9 - 12350/84167*c_1001_2^8 + 26380/84167*c_1001_2^7 - 4008/84167*c_1001_2^6 - 258453/168334*c_1001_2^5 + 51088/84167*c_1001_2^4 + 401793/84167*c_1001_2^3 - 329886/84167*c_1001_2^2 - 707979/168334*c_1001_2 + 73249/168334, c_0101_3 + 13190/84167*c_1001_2^9 - 5688/84167*c_1001_2^8 - 33648/84167*c_1001_2^7 + 90581/84167*c_1001_2^6 + 130257/84167*c_1001_2^5 - 342321/84167*c_1001_2^4 - 146177/84167*c_1001_2^3 + 558912/84167*c_1001_2^2 + 413716/84167*c_1001_2 + 11634/84167, c_1001_2^10 - c_1001_2^9 - 2*c_1001_2^8 + 8*c_1001_2^7 + 5*c_1001_2^6 - 29*c_1001_2^5 + 4*c_1001_2^4 + 42*c_1001_2^3 + 7*c_1001_2^2 - 8*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB