Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 492601801] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1229 geometric_solution 5.12731362 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.272337929842 0.137402778099 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.199208757914 1.339292675771 1 3 4 5 0132 3201 0132 0132 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 1 0 -1 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 0.497598901518 1.241169059378 5 4 2 1 1023 1023 2310 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497598901518 1.241169059378 3 6 6 2 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663055039861 0.183652423103 5 3 2 5 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 1 -1 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.280215850022 0.692266087883 6 4 4 6 3012 0132 1023 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 1.280215850022 0.692266087883 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], '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_0101_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_3'], '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_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_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' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_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: 24 Groebner basis: [ t + 28642249/146044*c_0101_6^11 + 15754726/36511*c_0101_6^10 + 2397057/5036*c_0101_6^9 + 299446999/146044*c_0101_6^8 - 42150201/73022*c_0101_6^7 - 148472415/36511*c_0101_6^6 - 689243871/73022*c_0101_6^5 - 706822067/73022*c_0101_6^4 + 1082655071/146044*c_0101_6^3 + 892349527/73022*c_0101_6^2 + 517037827/146044*c_0101_6 - 93547451/146044, c_0011_0 - 1, c_0011_1 - 254979/3359012*c_0101_6^11 - 424323/3359012*c_0101_6^10 - 4077/57914*c_0101_6^9 - 523869/839753*c_0101_6^8 + 617223/839753*c_0101_6^7 + 2974775/1679506*c_0101_6^6 + 5022641/1679506*c_0101_6^5 + 1060354/839753*c_0101_6^4 - 20024913/3359012*c_0101_6^3 - 742089/146044*c_0101_6^2 + 1203922/839753*c_0101_6 + 464461/839753, c_0011_3 + 107105/1679506*c_0101_3*c_0101_6^11 + 119842/839753*c_0101_3*c_0101_6^10 + 8369/57914*c_0101_3*c_0101_6^9 + 1050895/1679506*c_0101_3*c_0101_6^8 - 197653/839753*c_0101_3*c_0101_6^7 - 2688021/1679506*c_0101_3*c_0101_6^6 - 2815265/839753*c_0101_3*c_0101_6^5 - 2702312/839753*c_0101_3*c_0101_6^4 + 4164993/1679506*c_0101_3*c_0101_6^3 + 389489/73022*c_0101_3*c_0101_6^2 + 2157709/1679506*c_0101_3*c_0101_6 + 177697/1679506*c_0101_3, c_0101_0 - 314625/3359012*c_0101_6^11 - 551623/3359012*c_0101_6^10 - 4141/28957*c_0101_6^9 - 768713/839753*c_0101_6^8 + 550120/839753*c_0101_6^7 + 1435940/839753*c_0101_6^6 + 2869268/839753*c_0101_6^5 + 2380633/839753*c_0101_6^4 - 15817839/3359012*c_0101_6^3 - 509119/146044*c_0101_6^2 + 1663256/839753*c_0101_6 + 218883/839753, c_0101_1 + 248061/1679506*c_0101_6^11 + 1024303/3359012*c_0101_6^10 + 19369/57914*c_0101_6^9 + 5386389/3359012*c_0101_6^8 - 406373/839753*c_0101_6^7 - 4377119/1679506*c_0101_6^6 - 4993925/839753*c_0101_6^5 - 11627957/1679506*c_0101_6^4 + 9294423/1679506*c_0101_6^3 + 712673/146044*c_0101_6^2 - 708433/1679506*c_0101_6 - 783815/3359012, c_0101_3^2 + 187313/6718024*c_0101_6^11 + 1268699/6718024*c_0101_6^10 + 77499/231656*c_0101_6^9 + 4629087/6718024*c_0101_6^8 + 5073879/3359012*c_0101_6^7 - 2279347/3359012*c_0101_6^6 - 8126997/3359012*c_0101_6^5 - 22709227/3359012*c_0101_6^4 - 40147227/6718024*c_0101_6^3 + 442117/292088*c_0101_6^2 + 5206999/6718024*c_0101_6 - 706625/6718024, c_0101_6^12 + 2*c_0101_6^11 + 2*c_0101_6^10 + 10*c_0101_6^9 - 5*c_0101_6^8 - 20*c_0101_6^7 - 44*c_0101_6^6 - 40*c_0101_6^5 + 47*c_0101_6^4 + 54*c_0101_6^3 + 6*c_0101_6^2 - 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB