Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 2176851386] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0110 geometric_solution 3.63478916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 2310 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 7.998207413494 1.898833978600 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410540964433 0.056401311889 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.252483238759 0.115377865905 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280943716156 0.922588329114 5 6 5 3 1302 0132 1230 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 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 0.996851096437 0.506616586996 6 4 3 4 2310 2031 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996851096437 0.506616586996 6 4 5 6 3201 0132 3201 2310 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 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202756685214 0.405172536386 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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_0011_4']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 3029333/3918720*c_0101_3*c_0101_6^9 + 846233/261248*c_0101_3*c_0101_6^8 - 51378863/3918720*c_0101_3*c_0101_6^7 + 65059027/3918720*c_0101_3*c_0101_6^6 - 49389033/1306240*c_0101_3*c_0101_6^5 + 75947269/3918720*c_0101_3*c_0101_6^4 - 71264797/1959360*c_0101_3*c_0101_6^3 - 11833303/1959360*c_0101_3*c_0101_6^2 - 9296771/3918720*c_0101_3*c_0101_6 - 41216413/3918720*c_0101_3, c_0011_0 - 1, c_0011_2 - 42335/146952*c_0101_6^9 + 60373/48984*c_0101_6^8 - 719603/146952*c_0101_6^7 + 936349/146952*c_0101_6^6 - 671807/48984*c_0101_6^5 + 1338877/146952*c_0101_6^4 - 480299/36738*c_0101_6^3 + 116911/36738*c_0101_6^2 - 96227/146952*c_0101_6 + 165389/146952, c_0011_4 + 9923/73476*c_0101_3*c_0101_6^9 - 11383/24492*c_0101_3*c_0101_6^8 + 34010/18369*c_0101_3*c_0101_6^7 - 22291/18369*c_0101_3*c_0101_6^6 + 110951/24492*c_0101_3*c_0101_6^5 + 41063/73476*c_0101_3*c_0101_6^4 + 305207/73476*c_0101_3*c_0101_6^3 + 277967/73476*c_0101_3*c_0101_6^2 + 12131/18369*c_0101_3*c_0101_6 + 5903/36738*c_0101_3, c_0101_0 + 4585/12246*c_0101_3*c_0101_6^9 - 25279/16328*c_0101_3*c_0101_6^8 + 150719/24492*c_0101_3*c_0101_6^7 - 362465/48984*c_0101_3*c_0101_6^6 + 136651/8164*c_0101_3*c_0101_6^5 - 436901/48984*c_0101_3*c_0101_6^4 + 95534/6123*c_0101_3*c_0101_6^3 - 34543/24492*c_0101_3*c_0101_6^2 + 15397/12246*c_0101_3*c_0101_6 - 67543/48984*c_0101_3, c_0101_1 - 35969/146952*c_0101_6^9 + 52399/48984*c_0101_6^8 - 623957/146952*c_0101_6^7 + 832879/146952*c_0101_6^6 - 573497/48984*c_0101_6^5 + 1126903/146952*c_0101_6^4 - 418817/36738*c_0101_6^3 + 76783/36738*c_0101_6^2 - 102605/146952*c_0101_6 + 84215/146952, c_0101_3^2 - 18145/146952*c_0101_6^9 + 22055/48984*c_0101_6^8 - 269965/146952*c_0101_6^7 + 256151/146952*c_0101_6^6 - 262369/48984*c_0101_6^5 + 228095/146952*c_0101_6^4 - 178393/36738*c_0101_6^3 - 31069/36738*c_0101_6^2 - 74341/146952*c_0101_6 - 108113/146952, c_0101_6^10 - 4*c_0101_6^9 + 16*c_0101_6^8 - 18*c_0101_6^7 + 44*c_0101_6^6 - 20*c_0101_6^5 + 45*c_0101_6^4 + 9*c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB