Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 997894143] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2173 geometric_solution 5.64111486 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 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 -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 1.045254272049 1.282504898757 0 4 4 0 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.636449077472 0.849631035978 5 0 3 5 0132 0132 1302 3012 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 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 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 -0.287132716646 0.434412658275 2 5 6 0 2031 2310 0132 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466688020894 0.334035920614 5 1 1 6 1023 0132 1023 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 0.232628057666 0.653623710844 2 4 2 3 0132 1023 1230 3201 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 0 0 0 -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 0.033724301297 0.906703217780 4 6 6 3 3201 3201 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033724301297 0.906703217780 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 364351512/795751*c_0101_6^10 - 7215424551/795751*c_0101_6^9 + 42298929410/795751*c_0101_6^8 - 142792127876/795751*c_0101_6^7 + 294194237734/795751*c_0101_6^6 - 398021590503/795751*c_0101_6^5 + 364715120310/795751*c_0101_6^4 - 222935701946/795751*c_0101_6^3 + 87291948378/795751*c_0101_6^2 - 19052010071/795751*c_0101_6 + 1592795620/795751, c_0011_0 - 1, c_0011_3 - 5905002/795751*c_0101_6^10 + 116461705/795751*c_0101_6^9 - 676382295/795751*c_0101_6^8 + 2264660520/795751*c_0101_6^7 - 4612185661/795751*c_0101_6^6 + 6162199746/795751*c_0101_6^5 - 5564596467/795751*c_0101_6^4 + 3340293314/795751*c_0101_6^3 - 1280527175/795751*c_0101_6^2 + 271062993/795751*c_0101_6 - 22730322/795751, c_0011_6 - 357256/795751*c_0101_6^10 + 6810239/795751*c_0101_6^9 - 36344866/795751*c_0101_6^8 + 111479934/795751*c_0101_6^7 - 197489927/795751*c_0101_6^6 + 218550635/795751*c_0101_6^5 - 151576430/795751*c_0101_6^4 + 57810035/795751*c_0101_6^3 - 9672364/795751*c_0101_6^2 - 563262/795751*c_0101_6 - 135306/795751, c_0101_0 + 478363/72341*c_0101_6^10 - 9485070/72341*c_0101_6^9 + 55755630/72341*c_0101_6^8 - 188589349/72341*c_0101_6^7 + 389500000/72341*c_0101_6^6 - 527839980/72341*c_0101_6^5 + 484138526/72341*c_0101_6^4 - 296106471/72341*c_0101_6^3 + 116063826/72341*c_0101_6^2 - 25533224/72341*c_0101_6 + 2254471/72341, c_0101_1 + 660445/795751*c_0101_6^10 - 13566156/795751*c_0101_6^9 + 86063639/795751*c_0101_6^8 - 310429541/795751*c_0101_6^7 + 696634204/795751*c_0101_6^6 - 1027008847/795751*c_0101_6^5 + 1027595760/795751*c_0101_6^4 - 693141330/795751*c_0101_6^3 + 301514240/795751*c_0101_6^2 - 77562893/795751*c_0101_6 + 8412356/795751, c_0101_3 + c_0101_6 - 1, c_0101_6^11 - 20*c_0101_6^10 + 120*c_0101_6^9 - 415*c_0101_6^8 + 886*c_0101_6^7 - 1256*c_0101_6^6 + 1225*c_0101_6^5 - 820*c_0101_6^4 + 369*c_0101_6^3 - 104*c_0101_6^2 + 16*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB