Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 1461111658] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0177 geometric_solution 3.98433811 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 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 -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 0.766816859040 0.077870830772 0 3 0 3 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 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 0.515367908076 0.344452028147 2 0 2 0 2310 0132 3201 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 1 -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 0.833363879277 0.038860207374 4 1 5 1 0132 0132 0132 1023 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 -1 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 2.862906216877 3.245658315729 3 5 5 6 0132 3201 2310 0132 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 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 0.008204507489 0.579626120825 6 4 4 3 0132 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 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 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 0.008204507489 0.579626120825 5 6 4 6 0132 1302 0132 2031 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 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 1.510818773779 0.916651692033 ==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_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' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], '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_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 534125821/92968631*c_0101_4^10 - 1255673409/26562466*c_0101_4^9 - 25378631379/185937262*c_0101_4^8 - 17352721262/92968631*c_0101_4^7 + 4326134277/185937262*c_0101_4^6 + 22442556013/92968631*c_0101_4^5 + 6963851173/26562466*c_0101_4^4 + 1084059937/13281233*c_0101_4^3 - 5667276490/92968631*c_0101_4^2 - 270470957/5468743*c_0101_4 - 3504819567/185937262, c_0011_0 - 1, c_0011_5 - 3230/111607*c_0101_4^10 - 34551/223214*c_0101_4^9 - 23503/223214*c_0101_4^8 + 36078/111607*c_0101_4^7 + 295137/223214*c_0101_4^6 - 44303/111607*c_0101_4^5 + 16789/223214*c_0101_4^4 - 238731/111607*c_0101_4^3 + 42378/111607*c_0101_4^2 + 21893/111607*c_0101_4 - 36143/223214, c_0101_0 - 14250/111607*c_0101_4^10 - 270603/223214*c_0101_4^9 - 957155/223214*c_0101_4^8 - 825600/111607*c_0101_4^7 - 706851/223214*c_0101_4^6 + 887790/111607*c_0101_4^5 + 2634465/223214*c_0101_4^4 + 732487/111607*c_0101_4^3 - 246336/111607*c_0101_4^2 - 336711/111607*c_0101_4 - 80673/223214, c_0101_1 - 85541/223214*c_0101_4^10 - 396918/111607*c_0101_4^9 - 2736701/223214*c_0101_4^8 - 4642301/223214*c_0101_4^7 - 1902221/223214*c_0101_4^6 + 4581175/223214*c_0101_4^5 + 6711639/223214*c_0101_4^4 + 1846146/111607*c_0101_4^3 - 171271/111607*c_0101_4^2 - 882115/223214*c_0101_4 - 200629/223214, c_0101_2 + 57041/223214*c_0101_4^10 + 523233/223214*c_0101_4^9 + 889773/111607*c_0101_4^8 + 2991101/223214*c_0101_4^7 + 597685/111607*c_0101_4^6 - 2805595/223214*c_0101_4^5 - 2038587/111607*c_0101_4^4 - 1113659/111607*c_0101_4^3 + 36542/111607*c_0101_4^2 + 431907/223214*c_0101_4 + 59978/111607, c_0101_3 + 36143/223214*c_0101_4^10 + 147802/111607*c_0101_4^9 + 829697/223214*c_0101_4^8 + 1035507/223214*c_0101_4^7 - 397443/223214*c_0101_4^6 - 1668571/223214*c_0101_4^5 - 1248685/223214*c_0101_4^4 - 134895/111607*c_0101_4^3 + 419446/111607*c_0101_4^2 + 319173/223214*c_0101_4 - 7643/223214, c_0101_4^11 + 8*c_0101_4^10 + 22*c_0101_4^9 + 28*c_0101_4^8 - 9*c_0101_4^7 - 38*c_0101_4^6 - 37*c_0101_4^5 - 7*c_0101_4^4 + 10*c_0101_4^3 + 5*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB