Magma V2.19-8 Tue Aug 20 2013 16:14:47 on localhost [Seed = 3381155246] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s768 geometric_solution 5.31817197 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 0 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 0.492113218964 0.828608427925 3 2 4 0 0132 3012 0132 0132 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 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967886585422 0.989475499657 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 -1 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967886585422 0.989475499657 1 5 5 2 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 -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 0.678748196377 0.358836510525 2 4 4 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 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 0 0 0 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 0.250236321865 0.532951690199 5 3 3 5 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097998754084 0.508990855771 ==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_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_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_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 5226687112543/498090597587*c_0101_5^14 - 91392496584527/2490452987935*c_0101_5^13 + 101024645957166/2490452987935*c_0101_5^12 + 10694696317194/226404817085*c_0101_5^11 - 218242275004307/2490452987935*c_0101_5^10 - 6150961245272/2490452987935*c_0101_5^9 + 172262256321053/2490452987935*c_0101_5^8 + 1594493530745678/2490452987935*c_0101_5^7 + 706251202771489/2490452987935*c_0101_5^6 - 294967437898711/498090597587*c_0101_5^5 - 419059653362796/2490452987935*c_0101_5^4 + 291792297170728/2490452987935*c_0101_5^3 - 203137266938917/2490452987935*c_0101_5^2 - 681629234655/45280963417*c_0101_5 + 76841642889412/2490452987935, c_0011_0 - 1, c_0011_1 + 25191592452/45280963417*c_0101_5^14 + 79388186038/45280963417*c_0101_5^13 - 126428426841/45280963417*c_0101_5^12 - 77561426568/45280963417*c_0101_5^11 + 237136935013/45280963417*c_0101_5^10 - 55109169718/45280963417*c_0101_5^9 - 160597465164/45280963417*c_0101_5^8 - 1499644076303/45280963417*c_0101_5^7 - 139738408685/45280963417*c_0101_5^6 + 1574163568586/45280963417*c_0101_5^5 + 50133971044/45280963417*c_0101_5^4 - 438646301445/45280963417*c_0101_5^3 + 218640351249/45280963417*c_0101_5^2 - 5986101497/45280963417*c_0101_5 - 67492282364/45280963417, c_0011_4 + 88286893213/45280963417*c_0101_5^14 + 282163762182/45280963417*c_0101_5^13 - 401593695223/45280963417*c_0101_5^12 - 196651167886/45280963417*c_0101_5^11 + 695952005040/45280963417*c_0101_5^10 - 219792182970/45280963417*c_0101_5^9 - 356915937727/45280963417*c_0101_5^8 - 5347540305059/45280963417*c_0101_5^7 - 816696015951/45280963417*c_0101_5^6 + 3711479972842/45280963417*c_0101_5^5 - 10220191713/45280963417*c_0101_5^4 - 478438277320/45280963417*c_0101_5^3 + 729316735892/45280963417*c_0101_5^2 - 37591110223/45280963417*c_0101_5 - 117922011129/45280963417, c_0101_0 + 21367381378/45280963417*c_0101_5^14 + 57291172204/45280963417*c_0101_5^13 - 133121100350/45280963417*c_0101_5^12 - 2353589106/45280963417*c_0101_5^11 + 186959309573/45280963417*c_0101_5^10 - 134828453985/45280963417*c_0101_5^9 - 51818897673/45280963417*c_0101_5^8 - 1259708348911/45280963417*c_0101_5^7 + 461642170279/45280963417*c_0101_5^6 + 1062836088745/45280963417*c_0101_5^5 - 311716413547/45280963417*c_0101_5^4 - 428184611/45280963417*c_0101_5^3 + 187886707662/45280963417*c_0101_5^2 - 152864529340/45280963417*c_0101_5 - 30338529570/45280963417, c_0101_1 + 51273666334/45280963417*c_0101_5^14 + 144986125431/45280963417*c_0101_5^13 - 294324757256/45280963417*c_0101_5^12 - 31899001943/45280963417*c_0101_5^11 + 445538144585/45280963417*c_0101_5^10 - 270559360207/45280963417*c_0101_5^9 - 164235205629/45280963417*c_0101_5^8 - 3032402766930/45280963417*c_0101_5^7 + 672717367484/45280963417*c_0101_5^6 + 2368937644838/45280963417*c_0101_5^5 - 712044793951/45280963417*c_0101_5^4 - 279915814524/45280963417*c_0101_5^3 + 508474712794/45280963417*c_0101_5^2 - 167966004575/45280963417*c_0101_5 - 77352455631/45280963417, c_0101_5^15 + 4*c_0101_5^14 - 2*c_0101_5^13 - 6*c_0101_5^12 + 6*c_0101_5^11 + 4*c_0101_5^10 - 6*c_0101_5^9 - 64*c_0101_5^8 - 58*c_0101_5^7 + 36*c_0101_5^6 + 37*c_0101_5^5 - 4*c_0101_5^4 + 3*c_0101_5^3 + 5*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB