Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 627358147] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1887 geometric_solution 5.50767207 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693573615862 0.594314746777 0 5 5 2 0132 0132 3201 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480570656150 0.163448338973 4 0 1 3 1230 0132 1230 1230 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0.685353356804 1.329244568307 2 6 6 0 3012 0132 3201 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 0.848536544221 0.351569757685 4 2 0 4 3012 3012 0132 1230 0 0 0 0 0 0 0 0 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 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150975862248 0.789655810267 1 1 5 5 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766417792234 1.221715476835 3 3 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.453293109684 0.459682334508 ==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' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : 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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 6073/37*c_0101_6^8 + 12828/37*c_0101_6^7 - 76224/37*c_0101_6^6 - 115972/37*c_0101_6^5 + 164040/37*c_0101_6^4 + 150682/37*c_0101_6^3 - 98300/37*c_0101_6^2 - 49749/37*c_0101_6 + 14272/37, c_0011_0 - 1, c_0011_3 - 27/37*c_0101_6^8 + 15/37*c_0101_6^7 + 436/37*c_0101_6^6 - 472/37*c_0101_6^5 - 1368/37*c_0101_6^4 + 1886/37*c_0101_6^3 + 425/37*c_0101_6^2 - 1189/37*c_0101_6 + 276/37, c_0101_0 - 66/37*c_0101_6^8 - 25/37*c_0101_6^7 + 1000/37*c_0101_6^6 - 274/37*c_0101_6^5 - 3011/37*c_0101_6^4 + 2123/37*c_0101_6^3 + 1450/37*c_0101_6^2 - 1410/37*c_0101_6 + 243/37, c_0101_1 - 23/37*c_0101_6^8 - 16/37*c_0101_6^7 + 344/37*c_0101_6^6 + 20/37*c_0101_6^5 - 1042/37*c_0101_6^4 + 339/37*c_0101_6^3 + 558/37*c_0101_6^2 - 229/37*c_0101_6 + 46/37, c_0101_3 - 9/37*c_0101_6^8 + 5/37*c_0101_6^7 + 133/37*c_0101_6^6 - 182/37*c_0101_6^5 - 308/37*c_0101_6^4 + 826/37*c_0101_6^3 - 105/37*c_0101_6^2 - 532/37*c_0101_6 + 166/37, c_0101_5 - 27/37*c_0101_6^8 + 15/37*c_0101_6^7 + 436/37*c_0101_6^6 - 472/37*c_0101_6^5 - 1368/37*c_0101_6^4 + 1886/37*c_0101_6^3 + 425/37*c_0101_6^2 - 1189/37*c_0101_6 + 276/37, c_0101_6^9 + 2*c_0101_6^8 - 13*c_0101_6^7 - 18*c_0101_6^6 + 32*c_0101_6^5 + 24*c_0101_6^4 - 26*c_0101_6^3 - 7*c_0101_6^2 + 7*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2564091563/9329973471*c_0101_6^11 + 9020570381/9329973471*c_0101_6^10 - 36102775694/9329973471*c_0101_6^9 + 1720136969/717690267*c_0101_6^8 - 86170722983/9329973471*c_0101_6^7 - 9158994389/9329973471*c_0101_6^6 - 13861364750/1332853353*c_0101_6^5 - 526088908/1332853353*c_0101_6^4 - 2907534305/239230089*c_0101_6^3 + 1521595034/239230089*c_0101_6^2 - 69451932502/9329973471*c_0101_6 + 953458370/345554573, c_0011_0 - 1, c_0011_3 + 12699143/148094817*c_0101_6^11 - 16358618/148094817*c_0101_6^10 + 78218639/148094817*c_0101_6^9 + 20990992/11391909*c_0101_6^8 + 236629070/148094817*c_0101_6^7 + 751013480/148094817*c_0101_6^6 + 688131533/148094817*c_0101_6^5 + 767001457/148094817*c_0101_6^4 + 11537580/3797303*c_0101_6^3 + 17950327/3797303*c_0101_6^2 - 244898651/148094817*c_0101_6 + 93024927/49364939, c_0101_0 + 6155324/49364939*c_0101_6^11 - 9552435/49364939*c_0101_6^10 + 42027650/49364939*c_0101_6^9 + 9135722/3797303*c_0101_6^8 + 96187760/49364939*c_0101_6^7 + 359726459/49364939*c_0101_6^6 + 297092478/49364939*c_0101_6^5 + 354803218/49364939*c_0101_6^4 + 16021367/3797303*c_0101_6^3 + 26809055/3797303*c_0101_6^2 - 124818308/49364939*c_0101_6 + 171145098/49364939, c_0101_1 + 5880127/49364939*c_0101_6^11 - 31236903/49364939*c_0101_6^10 + 120839110/49364939*c_0101_6^9 - 14982186/3797303*c_0101_6^8 + 272822829/49364939*c_0101_6^7 - 232404535/49364939*c_0101_6^6 + 169116539/49364939*c_0101_6^5 - 224221254/49364939*c_0101_6^4 + 23746034/3797303*c_0101_6^3 - 34298230/3797303*c_0101_6^2 + 341102121/49364939*c_0101_6 - 154005052/49364939, c_0101_3 + 12280238/148094817*c_0101_6^11 - 45430223/148094817*c_0101_6^10 + 169472423/148094817*c_0101_6^9 - 7394393/11391909*c_0101_6^8 + 287656001/148094817*c_0101_6^7 + 29739341/148094817*c_0101_6^6 + 322994078/148094817*c_0101_6^5 - 5883932/148094817*c_0101_6^4 + 12374467/3797303*c_0101_6^3 - 3958616/3797303*c_0101_6^2 + 303285301/148094817*c_0101_6 - 1930698/49364939, c_0101_5 - 12699143/148094817*c_0101_6^11 + 16358618/148094817*c_0101_6^10 - 78218639/148094817*c_0101_6^9 - 20990992/11391909*c_0101_6^8 - 236629070/148094817*c_0101_6^7 - 751013480/148094817*c_0101_6^6 - 688131533/148094817*c_0101_6^5 - 767001457/148094817*c_0101_6^4 - 11537580/3797303*c_0101_6^3 - 17950327/3797303*c_0101_6^2 + 244898651/148094817*c_0101_6 - 43659988/49364939, c_0101_6^12 - 4*c_0101_6^11 + 16*c_0101_6^10 - 16*c_0101_6^9 + 40*c_0101_6^8 - 11*c_0101_6^7 + 43*c_0101_6^6 - 10*c_0101_6^5 + 54*c_0101_6^4 - 39*c_0101_6^3 + 47*c_0101_6^2 - 21*c_0101_6 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB