Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 2328565314] 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' : 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' : 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: 16 Groebner basis: [ t + 6666605/5007168*c_0101_4*c_0101_6^7 + 12787205/1251792*c_0101_4*c_0101_6^6 - 63085133/5007168*c_0101_4*c_0101_6^5 - 97827203/1669056*c_0101_4*c_0101_6^4 - 111784673/834528*c_0101_4*c_0101_6^3 - 278346617/1669056*c_0101_4*c_0101_6^2 + 408683779/5007168*c_0101_4*c_0101_6 - 250704181/5007168*c_0101_4, c_0011_0 - 1, c_0011_1 - 3251/69544*c_0101_6^7 - 8731/17386*c_0101_6^6 - 81053/69544*c_0101_6^5 - 147953/69544*c_0101_6^4 - 79035/34772*c_0101_6^3 - 39227/69544*c_0101_6^2 - 98477/69544*c_0101_6 + 22851/69544, c_0011_3 - 48911/208632*c_0101_4*c_0101_6^7 - 69394/26079*c_0101_4*c_0101_6^6 - 1509109/208632*c_0101_4*c_0101_6^\ 5 - 871135/69544*c_0101_4*c_0101_6^4 - 441243/34772*c_0101_4*c_0101_6^3 - 78409/69544*c_0101_4*c_0101_6^2 - 465649/208632*c_0101_4*c_0101_6 - 125957/208632*c_0101_4, c_0101_0 - 29395/208632*c_0101_4*c_0101_6^7 - 39182/26079*c_0101_4*c_0101_6^6 - 689753/208632*c_0101_4*c_0101_6^5 - 363315/69544*c_0101_4*c_0101_6^4 - 157363/34772*c_0101_4*c_0101_6^3 + 86771/69544*c_0101_4*c_0101_6^2 - 907205/208632*c_0101_4*c_0101_6 + 107711/208632*c_0101_4, c_0101_1 - 3251/69544*c_0101_6^7 - 8731/17386*c_0101_6^6 - 81053/69544*c_0101_6^5 - 147953/69544*c_0101_6^4 - 79035/34772*c_0101_6^3 - 39227/69544*c_0101_6^2 - 168021/69544*c_0101_6 - 46693/69544, c_0101_4^2 - 3125/52158*c_0101_6^7 - 16582/26079*c_0101_6^6 - 71323/52158*c_0101_6^5 - 34623/17386*c_0101_6^4 - 5879/8693*c_0101_6^3 + 37671/17386*c_0101_6^2 - 18763/52158*c_0101_6 + 28201/52158, c_0101_6^8 + 11*c_0101_6^7 + 27*c_0101_6^6 + 44*c_0101_6^5 + 39*c_0101_6^4 - 9*c_0101_6^3 + 14*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB