Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 2311591233] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2292 geometric_solution 5.70003160 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 -1 0 1 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 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 0.548930821972 0.252373751261 2 0 3 0 0132 2310 0132 0132 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 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 0.947221457587 0.439027925128 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625203199511 0.513241061326 5 4 2 1 0132 1023 0213 0132 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 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 0 0 0.625203199511 0.513241061326 3 4 4 2 1023 1230 3012 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 1 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.044463444136 0.784417924365 3 6 2 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.322177218857 1.358297283749 6 5 6 5 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539849992876 0.350758863590 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(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' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 6507140453/26468736*c_0101_4*c_0101_6^11 + 3089674573/4411456*c_0101_4*c_0101_6^10 + 100414127713/26468736*c_0101_4*c_0101_6^9 - 414312345989/26468736*c_0101_4*c_0101_6^8 + 171558480995/26468736*c_0101_4*c_0101_6^7 + 637957749917/26468736*c_0101_4*c_0101_6^6 - 68655256543/6617184*c_0101_4*c_0101_6^5 + 63502110919/13234368*c_0101_4*c_0101_6^4 - 60189933807/2205728*c_0101_4*c_0101_6^3 + 9517060301/3781248*c_0101_4*c_0101_6^2 - 236846271071/26468736*c_0101_4*c_0101_6 + 42434832385/26468736*c_0101_4, c_0011_0 - 1, c_0011_1 - 6257/14656*c_0101_6^11 + 8919/7328*c_0101_6^10 + 96189/14656*c_0101_6^9 - 397521/14656*c_0101_6^8 + 170975/14656*c_0101_6^7 + 589617/14656*c_0101_6^6 - 64251/3664*c_0101_6^5 + 84951/7328*c_0101_6^4 - 177821/3664*c_0101_6^3 + 51175/14656*c_0101_6^2 - 260635/14656*c_0101_6 + 40909/14656, c_0011_3 - 909187/1260416*c_0101_4*c_0101_6^11 + 164017/78776*c_0101_4*c_0101_6^10 + 13953797/1260416*c_0101_4*c_0101_6^9 - 58470543/1260416*c_0101_4*c_0101_6^8 + 25830111/1260416*c_0101_4*c_0101_6^7 + 89484639/1260416*c_0101_4*c_0101_6^6 - 21233775/630208*c_0101_4*c_0101_6^5 + 4450451/315104*c_0101_4*c_0101_6^4 - 49801293/630208*c_0101_4*c_0101_6^3 + 11125355/1260416*c_0101_4*c_0101_6^2 - 33098265/1260416*c_0101_4*c_0101_6 + 5814841/1260416*c_0101_4, c_0101_0 - 3107701/1260416*c_0101_4*c_0101_6^11 + 552965/78776*c_0101_4*c_0101_6^10 + 47955539/1260416*c_0101_4*c_0101_6^9 - 197713481/1260416*c_0101_4*c_0101_6^8 + 81853241/1260416*c_0101_4*c_0101_6^7 + 303444201/1260416*c_0101_4*c_0101_6^6 - 65204481/630208*c_0101_4*c_0101_6^5 + 16052637/315104*c_0101_4*c_0101_6^4 - 172753635/630208*c_0101_4*c_0101_6^3 + 28553325/1260416*c_0101_4*c_0101_6^2 - 115651807/1260416*c_0101_4*c_0101_6 + 18727839/1260416*c_0101_4, c_0101_1 + 4623/7328*c_0101_6^11 - 12841/7328*c_0101_6^10 - 18025/1832*c_0101_6^9 + 288833/7328*c_0101_6^8 - 51747/3664*c_0101_6^7 - 451839/7328*c_0101_6^6 + 156303/7328*c_0101_6^5 - 88787/7328*c_0101_6^4 + 524193/7328*c_0101_6^3 - 947/458*c_0101_6^2 + 167347/7328*c_0101_6 - 17767/3664, c_0101_4^2 + 34903/630208*c_0101_6^11 - 12161/78776*c_0101_6^10 - 554337/630208*c_0101_6^9 + 2216675/630208*c_0101_6^8 - 638011/630208*c_0101_6^7 - 4111243/630208*c_0101_6^6 + 763451/315104*c_0101_6^5 + 130727/157552*c_0101_6^4 + 1763489/315104*c_0101_6^3 - 551255/630208*c_0101_6^2 + 21949/630208*c_0101_6 + 134683/630208, c_0101_6^12 - 3*c_0101_6^11 - 15*c_0101_6^10 + 66*c_0101_6^9 - 36*c_0101_6^8 - 94*c_0101_6^7 + 57*c_0101_6^6 - 26*c_0101_6^5 + 114*c_0101_6^4 - 27*c_0101_6^3 + 38*c_0101_6^2 - 12*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB