Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 2311591238] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0339 geometric_solution 4.36442933 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 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 -1 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 0 0 0 -0.493593299265 0.931572408932 0 3 5 4 0132 3201 0132 0132 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 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.227016744650 1.577354580635 6 0 6 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 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 0.612131057885 0.082639828780 5 4 1 0 2103 2031 2310 0132 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 1 -1 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 1.227016744650 1.577354580635 3 5 1 5 1302 3012 0132 0321 0 0 0 0 0 1 0 -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 1 0 -1 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420036658342 0.429908110001 4 4 3 1 1230 0321 2103 0132 0 0 0 0 0 1 0 -1 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 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 1.112792230259 0.824876970959 2 6 2 6 0132 2310 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 0.767822821584 0.030485567912 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0101_6']})} 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_4, c_0011_5, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 18800159/6241147*c_0101_6^11 + 3004948/567377*c_0101_6^10 - 85119981/6241147*c_0101_6^9 - 344974818/6241147*c_0101_6^8 + 373950802/6241147*c_0101_6^7 + 664900006/6241147*c_0101_6^6 - 305486059/6241147*c_0101_6^5 - 230957827/6241147*c_0101_6^4 - 59184601/6241147*c_0101_6^3 - 14684304/567377*c_0101_6^2 + 91718777/6241147*c_0101_6 - 43802062/6241147, c_0011_0 - 1, c_0011_3 - 205624/567377*c_0101_6^11 + 253949/567377*c_0101_6^10 - 700480/567377*c_0101_6^9 - 4230322/567377*c_0101_6^8 + 2158842/567377*c_0101_6^7 + 10637794/567377*c_0101_6^6 + 1660760/567377*c_0101_6^5 - 6958988/567377*c_0101_6^4 - 3948796/567377*c_0101_6^3 - 921652/567377*c_0101_6^2 - 335290/567377*c_0101_6 + 291085/567377, c_0011_4 - 141159/567377*c_0101_6^11 + 124923/567377*c_0101_6^10 - 342776/567377*c_0101_6^9 - 3283232/567377*c_0101_6^8 + 988625/567377*c_0101_6^7 + 8683328/567377*c_0101_6^6 + 1259276/567377*c_0101_6^5 - 5728322/567377*c_0101_6^4 - 3255795/567377*c_0101_6^3 - 880413/567377*c_0101_6^2 + 908151/567377*c_0101_6 + 307321/567377, c_0011_5 + 350861/567377*c_0101_6^11 - 494683/567377*c_0101_6^10 + 1464751/567377*c_0101_6^9 + 6711773/567377*c_0101_6^8 - 4139225/567377*c_0101_6^7 - 13726772/567377*c_0101_6^6 - 2720287/567377*c_0101_6^5 + 4924251/567377*c_0101_6^4 + 6945101/567377*c_0101_6^3 + 3880984/567377*c_0101_6^2 + 121239/567377*c_0101_6 + 90981/567377, c_0101_2 + 158180/567377*c_0101_6^11 - 192717/567377*c_0101_6^10 + 526098/567377*c_0101_6^9 + 3308555/567377*c_0101_6^8 - 1683752/567377*c_0101_6^7 - 8274638/567377*c_0101_6^6 - 570109/567377*c_0101_6^5 + 5217637/567377*c_0101_6^4 + 2411191/567377*c_0101_6^3 + 958526/567377*c_0101_6^2 - 568028/567377*c_0101_6 - 272784/567377, c_0101_3 - 350861/567377*c_0101_6^11 + 494683/567377*c_0101_6^10 - 1464751/567377*c_0101_6^9 - 6711773/567377*c_0101_6^8 + 4139225/567377*c_0101_6^7 + 13726772/567377*c_0101_6^6 + 2720287/567377*c_0101_6^5 - 4924251/567377*c_0101_6^4 - 6945101/567377*c_0101_6^3 - 3880984/567377*c_0101_6^2 - 121239/567377*c_0101_6 - 90981/567377, c_0101_6^12 - c_0101_6^11 + 3*c_0101_6^10 + 22*c_0101_6^9 - 7*c_0101_6^8 - 54*c_0101_6^7 - 11*c_0101_6^6 + 28*c_0101_6^5 + 17*c_0101_6^4 + 13*c_0101_6^3 + c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB