Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 4155927336] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1142 geometric_solution 5.00995278 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165502893783 0.370485436363 2 3 4 0 1302 0132 0132 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 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 1.074133711621 0.110370134189 3 1 0 5 2310 2031 0132 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 0 -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 0.335678926051 0.551665898583 4 1 2 6 2310 0132 3201 0132 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 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 0.591221231142 0.565038741873 6 5 3 1 3012 2310 3201 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 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 1.133973746804 0.170331468314 6 6 2 4 1302 2031 0132 3201 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 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 0.511050377346 0.493603292377 5 5 3 4 1302 2031 0132 1230 0 0 0 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 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 -0.010637215725 1.332118041565 ==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' : negation(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' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], '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_2'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_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' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : 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_2, c_0011_5, c_0011_6, c_0101_0, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 800802988044/347485536265*c_0110_5^10 - 4039031242087/347485536265*c_0110_5^9 - 110127190949/49640790895*c_0110_5^8 + 16661265872969/347485536265*c_0110_5^7 + 762540437502/347485536265*c_0110_5^6 + 27891725059936/347485536265*c_0110_5^5 - 30852258881414/347485536265*c_0110_5^4 + 12011410739392/69497107253*c_0110_5^3 - 1222407043221/9928158179*c_0110_5^2 - 1459524074149/347485536265*c_0110_5 - 2639136265862/347485536265, c_0011_0 - 1, c_0011_1 - 102086814/522534641*c_0110_5^10 + 532366805/522534641*c_0110_5^9 + 7645408/522534641*c_0110_5^8 - 2132367797/522534641*c_0110_5^7 + 289016185/522534641*c_0110_5^6 - 3574234928/522534641*c_0110_5^5 + 4421382452/522534641*c_0110_5^4 - 8430993981/522534641*c_0110_5^3 + 6671728375/522534641*c_0110_5^2 - 999328998/522534641*c_0110_5 + 27512969/522534641, c_0011_2 - 31569822/522534641*c_0110_5^10 + 160167670/522534641*c_0110_5^9 + 9782991/522534641*c_0110_5^8 - 581250087/522534641*c_0110_5^7 + 16623979/522534641*c_0110_5^6 - 1401333792/522534641*c_0110_5^5 + 1234794994/522534641*c_0110_5^4 - 3107855056/522534641*c_0110_5^3 + 1756549330/522534641*c_0110_5^2 - 1392176013/522534641*c_0110_5 + 122389463/522534641, c_0011_5 + 73216519/522534641*c_0110_5^10 - 328607663/522534641*c_0110_5^9 - 258003808/522534641*c_0110_5^8 + 1414879676/522534641*c_0110_5^7 + 805140910/522534641*c_0110_5^6 + 2905457049/522534641*c_0110_5^5 - 1009359507/522534641*c_0110_5^4 + 4699268167/522534641*c_0110_5^3 - 629065460/522534641*c_0110_5^2 - 902845000/522534641*c_0110_5 + 312156603/522534641, c_0011_6 + 49172944/522534641*c_0110_5^10 - 251769830/522534641*c_0110_5^9 - 24553325/522534641*c_0110_5^8 + 1023126593/522534641*c_0110_5^7 - 101501360/522534641*c_0110_5^6 + 1728718566/522534641*c_0110_5^5 - 1750548443/522534641*c_0110_5^4 + 4101872805/522534641*c_0110_5^3 - 2382552634/522534641*c_0110_5^2 + 247800837/522534641*c_0110_5 + 435095306/522534641, c_0101_0 + 167079663/522534641*c_0110_5^10 - 814568018/522534641*c_0110_5^9 - 276127856/522534641*c_0110_5^8 + 3348379368/522534641*c_0110_5^7 + 577951975/522534641*c_0110_5^6 + 6239602584/522534641*c_0110_5^5 - 4841920910/522534641*c_0110_5^4 + 13028298484/522534641*c_0110_5^3 - 6387501879/522534641*c_0110_5^2 - 32602034/522534641*c_0110_5 + 203900868/522534641, c_0110_5^11 - 5*c_0110_5^10 - c_0110_5^9 + 20*c_0110_5^8 + c_0110_5^7 + 38*c_0110_5^6 - 34*c_0110_5^5 + 82*c_0110_5^4 - 50*c_0110_5^3 + 9*c_0110_5^2 - c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB