Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 711702019] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0051 geometric_solution 3.61576036 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 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 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 -0.196635482275 0.409095908691 0 1 2 1 0132 2310 3201 3201 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 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 0.954425461746 1.985661728156 1 0 0 3 2310 0132 1023 3201 0 0 0 0 0 1 -1 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 1 0 -1 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196635482275 0.409095908691 4 2 0 4 0132 2310 0132 1023 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 -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 0.777527532523 0.986884515097 3 5 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.279947679931 0.190965567337 6 4 4 6 0132 0132 1023 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 1.154373623681 0.057808132571 5 5 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.373172657943 0.057978716627 ==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_0101_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(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' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_0'], '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_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_0']), '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_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 9637/6439*c_0101_6^10 - 110188/6439*c_0101_6^9 + 280685/6439*c_0101_6^8 + 545400/6439*c_0101_6^7 - 1897360/6439*c_0101_6^6 - 1543276/6439*c_0101_6^5 + 2952758/6439*c_0101_6^4 + 1689787/6439*c_0101_6^3 - 1471087/6439*c_0101_6^2 - 528534/6439*c_0101_6 + 240406/6439, c_0011_0 - 1, c_0011_3 - 1, c_0101_0 + 18944/6439*c_0101_6^10 - 138962/6439*c_0101_6^9 - 14498/6439*c_0101_6^8 + 996418/6439*c_0101_6^7 + 294923/6439*c_0101_6^6 - 1651462/6439*c_0101_6^5 - 565553/6439*c_0101_6^4 + 889751/6439*c_0101_6^3 + 269541/6439*c_0101_6^2 - 137480/6439*c_0101_6 - 25966/6439, c_0101_1 - 11380/6439*c_0101_6^10 + 81511/6439*c_0101_6^9 + 26082/6439*c_0101_6^8 - 619637/6439*c_0101_6^7 - 275087/6439*c_0101_6^6 + 1110703/6439*c_0101_6^5 + 504831/6439*c_0101_6^4 - 694272/6439*c_0101_6^3 - 238611/6439*c_0101_6^2 + 140070/6439*c_0101_6 + 16259/6439, c_0101_4 + 7781/6439*c_0101_6^10 - 58070/6439*c_0101_6^9 - 645/6439*c_0101_6^8 + 425459/6439*c_0101_6^7 + 61678/6439*c_0101_6^6 - 783564/6439*c_0101_6^5 - 138307/6439*c_0101_6^4 + 500263/6439*c_0101_6^3 + 76732/6439*c_0101_6^2 - 92179/6439*c_0101_6 - 11173/6439, c_0101_5 - 4178/6439*c_0101_6^10 + 31769/6439*c_0101_6^9 - 5285/6439*c_0101_6^8 - 217298/6439*c_0101_6^7 - 17879/6439*c_0101_6^6 + 379518/6439*c_0101_6^5 + 83312/6439*c_0101_6^4 - 240133/6439*c_0101_6^3 - 69880/6439*c_0101_6^2 + 50078/6439*c_0101_6 + 14220/6439, c_0101_6^11 - 8*c_0101_6^10 + 4*c_0101_6^9 + 54*c_0101_6^8 - 20*c_0101_6^7 - 103*c_0101_6^6 + 31*c_0101_6^5 + 75*c_0101_6^4 - 21*c_0101_6^3 - 20*c_0101_6^2 + 5*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB