Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 559987796] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3205 geometric_solution 6.35255363 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 0 1 -1 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 0.943661380554 1.284702780034 0 5 4 3 0132 0132 3012 2310 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 -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 0.304088776295 0.913784236271 4 0 3 6 0321 0132 3012 0132 0 0 0 0 0 1 -1 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 -1 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 0.122502660673 0.700635536255 1 2 5 0 3201 1230 1023 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 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 0.276925657561 0.595632005310 2 1 0 6 0321 1230 0132 3201 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 -1 1 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 0.333129954218 0.629482862719 6 1 3 6 3120 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782825137826 1.029277079544 5 4 2 5 3201 2310 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.615044504117 0.834924662960 ==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' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : 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_0101_5']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_1']), '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_4'], '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_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_3']), '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_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 67389223/59190152*c_0101_5^10 + 220088955/14797538*c_0101_5^9 - 343282935/14797538*c_0101_5^8 - 40106818/1056967*c_0101_5^7 + 5393181665/59190152*c_0101_5^6 - 202456439/14797538*c_0101_5^5 - 1586753253/29595076*c_0101_5^4 + 200119123/4227868*c_0101_5^3 - 53174195/1056967*c_0101_5^2 + 408393331/29595076*c_0101_5 + 908254255/59190152, c_0011_0 - 1, c_0011_3 + 104553/1056967*c_0101_5^10 - 2920805/2113934*c_0101_5^9 + 6848797/2113934*c_0101_5^8 + 702440/1056967*c_0101_5^7 - 8852908/1056967*c_0101_5^6 + 9429659/2113934*c_0101_5^5 + 3157096/1056967*c_0101_5^4 + 664853/2113934*c_0101_5^3 + 1610253/2113934*c_0101_5^2 - 4219839/2113934*c_0101_5 - 2010441/1056967, c_0011_4 + 25231/1056967*c_0101_5^10 - 525607/1056967*c_0101_5^9 + 5876351/2113934*c_0101_5^8 - 3390739/2113934*c_0101_5^7 - 14484439/2113934*c_0101_5^6 + 12577745/2113934*c_0101_5^5 + 2027008/1056967*c_0101_5^4 - 872129/2113934*c_0101_5^3 + 5200215/2113934*c_0101_5^2 - 2298518/1056967*c_0101_5 - 2390532/1056967, c_0011_6 - 295557/1056967*c_0101_5^10 + 3826092/1056967*c_0101_5^9 - 5953595/1056967*c_0101_5^8 - 5557450/1056967*c_0101_5^7 + 14684052/1056967*c_0101_5^6 - 5016727/1056967*c_0101_5^5 - 1801804/1056967*c_0101_5^4 + 2472028/1056967*c_0101_5^3 - 3355013/1056967*c_0101_5^2 - 155847/1056967*c_0101_5 + 2231289/1056967, c_0101_0 + 628173/2113934*c_0101_5^10 - 4138177/1056967*c_0101_5^9 + 7104855/1056967*c_0101_5^8 + 12701505/2113934*c_0101_5^7 - 18538972/1056967*c_0101_5^6 + 4721008/1056967*c_0101_5^5 + 8385167/2113934*c_0101_5^4 - 4397523/2113934*c_0101_5^3 + 9279889/2113934*c_0101_5^2 + 290295/2113934*c_0101_5 - 3002890/1056967, c_0101_1 + 110105/2113934*c_0101_5^10 - 823125/1056967*c_0101_5^9 + 4887339/2113934*c_0101_5^8 + 15737/2113934*c_0101_5^7 - 12582881/2113934*c_0101_5^6 + 7947331/2113934*c_0101_5^5 + 4397523/2113934*c_0101_5^4 - 485467/2113934*c_0101_5^3 + 1364809/2113934*c_0101_5^2 - 3416815/2113934*c_0101_5 - 2283277/2113934, c_0101_5^11 - 13*c_0101_5^10 + 20*c_0101_5^9 + 28*c_0101_5^8 - 59*c_0101_5^7 - 5*c_0101_5^6 + 26*c_0101_5^5 + 14*c_0101_5^3 + 6*c_0101_5^2 - 15*c_0101_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB