Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 1899031933] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s524 geometric_solution 4.93310241 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.731025919685 1.399987170329 3 2 4 0 0132 1023 0132 0132 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 -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 -0.170516731652 1.377764048741 1 3 0 4 1023 2310 0132 3201 0 0 0 0 0 0 1 -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 0 0 0 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 -0.170516731652 1.377764048741 1 3 3 2 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 0.088473964001 0.714863847494 5 2 5 1 0132 2310 2310 0132 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 -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 0.615016683304 0.545495099767 4 4 5 5 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455873628775 0.168796323621 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 196626463/3624624*c_0101_1*c_0101_4^10 + 622306369/3624624*c_0101_1*c_0101_4^9 - 755367947/1208208*c_0101_1*c_0101_4^8 + 1859261503/1812312*c_0101_1*c_0101_4^7 - 8682758143/3624624*c_0101_1*c_0101_4^6 + 13441215845/3624624*c_0101_1*c_0101_4^5 - 103014287/25171*c_0101_1*c_0101_4^4 + 10368264889/3624624*c_0101_1*c_0101_4^3 + 2255168735/1812312*c_0101_1*c_0101_4^2 + 2861757407/3624624*c_0101_1*c_0101_4 + 1281119515/3624624*c_0101_1, c_0011_0 - 1, c_0011_1 + 350657/604104*c_0101_1*c_0101_4^10 - 1149611/604104*c_0101_1*c_0101_4^9 + 173922/25171*c_0101_1*c_0101_4^8 - 3553823/302052*c_0101_1*c_0101_4^7 + 16293551/604104*c_0101_1*c_0101_4^6 - 25765615/604104*c_0101_1*c_0101_4^5 + 9768425/201368*c_0101_1*c_0101_4^4 - 21575501/604104*c_0101_1*c_0101_4^3 - 5891363/604104*c_0101_1*c_0101_4^2 - 3758989/604104*c_0101_1*c_0101_4 - 1105387/302052*c_0101_1, c_0011_4 + 1785/100684*c_0101_4^10 - 2307/50342*c_0101_4^9 + 17635/100684*c_0101_4^8 - 10243/50342*c_0101_4^7 + 61381/100684*c_0101_4^6 - 37937/50342*c_0101_4^5 + 45771/50342*c_0101_4^4 - 18053/50342*c_0101_4^3 - 13141/25171*c_0101_4^2 - 50525/25171*c_0101_4 + 20605/100684, c_0101_0 - 256807/604104*c_0101_1*c_0101_4^10 + 417869/302052*c_0101_1*c_0101_4^9 - 1009947/201368*c_0101_1*c_0101_4^8 + 1276199/151026*c_0101_1*c_0101_4^7 - 11714419/604104*c_0101_1*c_0101_4^6 + 2303122/75513*c_0101_1*c_0101_4^5 - 3442793/100684*c_0101_1*c_0101_4^4 + 3682825/151026*c_0101_1*c_0101_4^3 + 2830193/302052*c_0101_1*c_0101_4^2 + 1175029/302052*c_0101_1*c_0101_4 + 1711171/604104*c_0101_1, c_0101_1^2 + 741/100684*c_0101_4^10 - 500/25171*c_0101_4^9 + 9859/100684*c_0101_4^8 - 2951/25171*c_0101_4^7 + 33011/100684*c_0101_4^6 - 11349/50342*c_0101_4^5 + 17647/50342*c_0101_4^4 + 1139/25171*c_0101_4^3 - 135327/50342*c_0101_4^2 + 18335/50342*c_0101_4 + 1785/100684, c_0101_4^11 - 3*c_0101_4^10 + 11*c_0101_4^9 - 17*c_0101_4^8 + 41*c_0101_4^7 - 61*c_0101_4^6 + 64*c_0101_4^5 - 40*c_0101_4^4 - 32*c_0101_4^3 - 18*c_0101_4^2 - 9*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB