Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 846442218] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1812 geometric_solution 5.47399001 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 1.967069158597 0.633512208987 0 2 3 0 3201 0132 0132 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 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 0.271214068650 0.712954293075 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413983157069 0.334608361341 2 5 6 1 2031 2310 0132 0132 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 0.413983157069 0.334608361341 2 5 6 6 0132 0132 2310 1230 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900762186043 0.979915096473 6 4 2 3 2310 0132 0132 3201 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 -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 1.418772917416 0.855454371531 4 4 5 3 3012 3201 3201 0132 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900762186043 0.979915096473 ==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_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' : 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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], '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_3, c_0101_0, c_0101_4, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12316892/1220535*c_1001_3^9 + 38322259/1220535*c_1001_3^8 + 205852328/1220535*c_1001_3^7 + 307544807/1220535*c_1001_3^6 + 20727397/81369*c_1001_3^5 - 71110907/1220535*c_1001_3^4 - 153002654/406845*c_1001_3^3 - 30426817/1220535*c_1001_3^2 + 168951169/1220535*c_1001_3 - 21943753/1220535, c_0011_0 - 1, c_0011_1 - 5321/81369*c_1001_3^9 - 1052/81369*c_1001_3^8 + 138092/81369*c_1001_3^7 + 427859/81369*c_1001_3^6 + 242741/27123*c_1001_3^5 + 786793/81369*c_1001_3^4 + 70624/27123*c_1001_3^3 - 180835/81369*c_1001_3^2 - 146831/81369*c_1001_3 + 10205/81369, c_0011_3 + 3019/27123*c_1001_3^9 - 19451/27123*c_1001_3^8 - 13114/27123*c_1001_3^7 + 64043/27123*c_1001_3^6 + 38735/9041*c_1001_3^5 + 231424/27123*c_1001_3^4 + 9058/9041*c_1001_3^3 - 196180/27123*c_1001_3^2 - 12155/27123*c_1001_3 + 34688/27123, c_0101_0 + 26509/81369*c_1001_3^9 - 78590/81369*c_1001_3^8 - 427285/81369*c_1001_3^7 - 823876/81369*c_1001_3^6 - 392047/27123*c_1001_3^5 - 559403/81369*c_1001_3^4 + 80542/27123*c_1001_3^3 + 231350/81369*c_1001_3^2 + 112132/81369*c_1001_3 - 78703/81369, c_0101_4 - c_1001_3, c_0101_6 - 12871/81369*c_1001_3^9 + 59801/81369*c_1001_3^8 + 139165/81369*c_1001_3^7 + 58324/81369*c_1001_3^6 - 7586/27123*c_1001_3^5 - 460789/81369*c_1001_3^4 - 74365/27123*c_1001_3^3 + 389143/81369*c_1001_3^2 + 136469/81369*c_1001_3 - 47570/81369, c_1001_3^10 - 3*c_1001_3^9 - 17*c_1001_3^8 - 27*c_1001_3^7 - 29*c_1001_3^6 + c_1001_3^5 + 35*c_1001_3^4 + 5*c_1001_3^3 - 13*c_1001_3^2 + c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB