Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 2833855621] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0011 geometric_solution 3.54777719 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 -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 4.617777358212 0.520836639560 0 1 1 0 0132 3201 2310 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 -0.463154442368 0.026036925720 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -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 0 -1 0 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 -0.289635746893 0.096791551481 2 2 4 4 2310 0132 0132 2310 0 0 0 0 0 -1 1 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 -1 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 1.987735716792 1.171913448586 3 5 6 3 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 0 -1 1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783319383972 0.452610055756 6 4 6 6 2103 0132 1302 2031 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 0 0 0 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 0.487987208529 0.517059318294 5 5 5 4 2031 1302 2103 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 -1 1 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 0.487987208529 0.517059318294 ==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' : negation(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' : negation(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_0011_4'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_4']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 22695/784*c_0101_3^11 - 9479/784*c_0101_3^10 + 156577/784*c_0101_3^9 - 207857/392*c_0101_3^8 - 27046/49*c_0101_3^7 + 79347/28*c_0101_3^6 - 499907/392*c_0101_3^5 - 1254405/392*c_0101_3^4 + 2382287/784*c_0101_3^3 + 87827/196*c_0101_3^2 - 149141/112*c_0101_3 + 76779/196, c_0011_0 - 1, c_0011_2 - 339/196*c_0101_3^11 - 419/196*c_0101_3^10 + 2125/196*c_0101_3^9 - 2179/98*c_0101_3^8 - 2714/49*c_0101_3^7 + 6568/49*c_0101_3^6 + 4919/98*c_0101_3^5 - 20107/98*c_0101_3^4 + 3243/196*c_0101_3^3 + 5290/49*c_0101_3^2 - 3879/196*c_0101_3 - 111/7, c_0011_4 - 93/196*c_0101_3^11 + 15/196*c_0101_3^10 + 715/196*c_0101_3^9 - 143/14*c_0101_3^8 - 263/49*c_0101_3^7 + 2700/49*c_0101_3^6 - 3893/98*c_0101_3^5 - 5545/98*c_0101_3^4 + 14877/196*c_0101_3^3 - 64/49*c_0101_3^2 - 6173/196*c_0101_3 + 589/49, c_0011_6 - 57/98*c_0101_3^11 - 5/14*c_0101_3^10 + 395/98*c_0101_3^9 - 478/49*c_0101_3^8 - 667/49*c_0101_3^7 + 2710/49*c_0101_3^6 - 582/49*c_0101_3^5 - 3628/49*c_0101_3^4 + 597/14*c_0101_3^3 + 1356/49*c_0101_3^2 - 2011/98*c_0101_3 - 23/49, c_0101_0 - 17/98*c_0101_3^11 + 89/98*c_0101_3^10 + 201/98*c_0101_3^9 - 68/7*c_0101_3^8 + 562/49*c_0101_3^7 + 2115/49*c_0101_3^6 - 4597/49*c_0101_3^5 - 964/49*c_0101_3^4 + 13261/98*c_0101_3^3 - 2166/49*c_0101_3^2 - 5203/98*c_0101_3 + 1333/49, c_0101_1 - 81/196*c_0101_3^11 - 43/28*c_0101_3^10 + 327/196*c_0101_3^9 + 139/98*c_0101_3^8 - 1404/49*c_0101_3^7 + 219/49*c_0101_3^6 + 9859/98*c_0101_3^5 - 4803/98*c_0101_3^4 - 3265/28*c_0101_3^3 + 3727/49*c_0101_3^2 + 8007/196*c_0101_3 - 1509/49, c_0101_3^12 + c_0101_3^11 - 7*c_0101_3^10 + 14*c_0101_3^9 + 32*c_0101_3^8 - 92*c_0101_3^7 - 22*c_0101_3^6 + 166*c_0101_3^5 - 41*c_0101_3^4 - 116*c_0101_3^3 + 53*c_0101_3^2 + 28*c_0101_3 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB