Magma V2.19-8 Tue Aug 20 2013 16:18:18 on localhost [Seed = 189437475] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2514 geometric_solution 5.83477883 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0.435554628581 0.252596779364 2 0 3 0 0132 2310 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 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 0.846369041801 0.743789251424 1 4 3 5 0132 0132 3012 0132 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 -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 1.105031136192 1.084946347600 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 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 1.105031136192 1.084946347600 6 2 3 6 0132 0132 1023 3201 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 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 0.299432848228 0.416650783325 5 3 2 5 3201 1023 0132 2310 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 -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 0.692161605102 0.626982901383 4 4 6 6 0132 2310 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.601714874264 1.890594039897 ==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' : negation(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' : negation(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_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 599344784488/4286635567*c_0101_6^12 + 1191856590562/4286635567*c_0101_6^11 - 656093988340/4286635567*c_0101_6^10 + 164985098071/4286635567*c_0101_6^9 + 1040935460788/4286635567*c_0101_6^8 + 111063113388/4286635567*c_0101_6^7 + 18651989333725/4286635567*c_0101_6^6 - 3997749333369/4286635567*c_0101_6^5 - 27817093904088/4286635567*c_0101_6^4 + 2996965807577/4286635567*c_0101_6^3 + 19710308517383/4286635567*c_0101_6^2 + 1112377129292/4286635567*c_0101_6 - 2654684988587/4286635567, c_0011_0 - 1, c_0011_1 - 36030031/209104174*c_0101_6^12 + 74156309/209104174*c_0101_6^11 - 22340909/104552087*c_0101_6^10 + 3191060/104552087*c_0101_6^9 + 42645105/104552087*c_0101_6^8 - 17874379/104552087*c_0101_6^7 + 1154986759/209104174*c_0101_6^6 - 166214951/104552087*c_0101_6^5 - 816927161/104552087*c_0101_6^4 + 240495766/104552087*c_0101_6^3 + 841841633/209104174*c_0101_6^2 + 260861/104552087*c_0101_6 + 54545463/209104174, c_0011_3 - 16332708/104552087*c_0101_0*c_0101_6^12 + 11780150/104552087*c_0101_0*c_0101_6^11 + 23026669/104552087*c_0101_0*c_0101_6^10 - 20553770/104552087*c_0101_0*c_0101_6^9 + 37046315/104552087*c_0101_0*c_0101_6^8 + 47689823/104552087*c_0101_0*c_0101_6^7 + 491655898/104552087*c_0101_0*c_0101_6^6 + 570212260/104552087*c_0101_0*c_0101_6^5 - 921913022/104552087*c_0101_0*c_0101_6^4 - 762466754/104552087*c_0101_0*c_0101_6^3 + 638610031/104552087*c_0101_0*c_0101_6^2 + 440927199/104552087*c_0101_0*c_0101_6 - 45409310/104552087*c_0101_0, c_0101_0^2 - 36030031/209104174*c_0101_6^12 + 74156309/209104174*c_0101_6^11 - 22340909/104552087*c_0101_6^10 + 3191060/104552087*c_0101_6^9 + 42645105/104552087*c_0101_6^8 - 17874379/104552087*c_0101_6^7 + 1154986759/209104174*c_0101_6^6 - 166214951/104552087*c_0101_6^5 - 816927161/104552087*c_0101_6^4 + 240495766/104552087*c_0101_6^3 + 841841633/209104174*c_0101_6^2 + 260861/104552087*c_0101_6 - 154558711/209104174, c_0101_1 + 159291509/418208348*c_0101_6^12 - 349914227/418208348*c_0101_6^11 + 68589793/104552087*c_0101_6^10 - 38110769/104552087*c_0101_6^9 - 117604711/209104174*c_0101_6^8 + 30848693/209104174*c_0101_6^7 - 5105024093/418208348*c_0101_6^6 + 559483386/104552087*c_0101_6^5 + 3001672553/209104174*c_0101_6^4 - 957742125/209104174*c_0101_6^3 - 3189455607/418208348*c_0101_6^2 - 55983974/104552087*c_0101_6 + 328937407/418208348, c_0101_3 + 52240077/418208348*c_0101_6^12 - 195904095/418208348*c_0101_6^11 + 67786315/104552087*c_0101_6^10 - 49439944/104552087*c_0101_6^9 + 4369193/209104174*c_0101_6^8 + 68063259/209104174*c_0101_6^7 - 1685753853/418208348*c_0101_6^6 + 830292621/104552087*c_0101_6^5 + 351817827/209104174*c_0101_6^4 - 1769529823/209104174*c_0101_6^3 + 3157365/418208348*c_0101_6^2 + 266675141/104552087*c_0101_6 - 24938369/418208348, c_0101_6^13 - 2*c_0101_6^12 + c_0101_6^11 - 2*c_0101_6^9 - 31*c_0101_6^7 + 7*c_0101_6^6 + 50*c_0101_6^5 - 8*c_0101_6^4 - 37*c_0101_6^3 + c_0101_6^2 + 7*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB