Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3819077434] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1828 geometric_solution 5.48452849 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 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 0.469928327727 0.315577478941 0 3 0 4 0132 0132 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.063478702059 0.669304012268 5 0 5 0 0132 2310 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.466592970214 0.984881491209 3 1 5 3 3201 0132 1230 2310 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 1 -1 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 0.626103388507 0.704841663600 6 6 1 5 0132 3201 0132 3012 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 -1 0 1 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 0.556530419908 1.293796715955 2 2 4 3 0132 3201 1230 3012 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 0 -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 -0.140440412164 1.480769585649 4 6 4 6 0132 2310 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 1 -1 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 -0.703767777871 0.463387887451 ==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_4'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 567623/2961264*c_0101_6^11 + 1797389/1480632*c_0101_6^10 - 7554185/2961264*c_0101_6^9 + 275641/87096*c_0101_6^8 + 3528691/740316*c_0101_6^7 - 1066499/77928*c_0101_6^6 + 77776739/2961264*c_0101_6^5 - 2048179/123386*c_0101_6^4 + 2416105/246772*c_0101_6^3 + 267703/19482*c_0101_6^2 - 618356/61693*c_0101_6 + 2076232/185079, c_0011_0 - 1, c_0011_2 - 97/77928*c_0101_6^11 + 502/9741*c_0101_6^10 - 29845/77928*c_0101_6^9 + 734/573*c_0101_6^8 - 107951/38964*c_0101_6^7 + 130445/38964*c_0101_6^6 - 148727/77928*c_0101_6^5 - 19563/12988*c_0101_6^4 + 47399/12988*c_0101_6^3 - 66563/19482*c_0101_6^2 + 2973/3247*c_0101_6 + 13357/9741, c_0011_4 + 8895/246772*c_0101_6^11 - 103685/370158*c_0101_6^10 + 653779/740316*c_0101_6^9 - 7100/3629*c_0101_6^8 + 908413/370158*c_0101_6^7 - 20180/9741*c_0101_6^6 + 162395/740316*c_0101_6^5 + 89622/61693*c_0101_6^4 - 280843/123386*c_0101_6^3 + 3101/3247*c_0101_6^2 - 64673/185079*c_0101_6 - 25847/185079, c_0101_0 + 39113/1480632*c_0101_6^11 - 153685/740316*c_0101_6^10 + 311573/493544*c_0101_6^9 - 53593/43548*c_0101_6^8 + 214241/185079*c_0101_6^7 - 6737/38964*c_0101_6^6 - 660727/493544*c_0101_6^5 + 146121/61693*c_0101_6^4 - 230103/123386*c_0101_6^3 + 1076/9741*c_0101_6^2 + 233306/185079*c_0101_6 - 49463/61693, c_0101_1 + 97/77928*c_0101_6^11 - 502/9741*c_0101_6^10 + 29845/77928*c_0101_6^9 - 734/573*c_0101_6^8 + 107951/38964*c_0101_6^7 - 130445/38964*c_0101_6^6 + 148727/77928*c_0101_6^5 + 19563/12988*c_0101_6^4 - 47399/12988*c_0101_6^3 + 66563/19482*c_0101_6^2 - 2973/3247*c_0101_6 - 13357/9741, c_0101_3 - 1457/29032*c_0101_6^11 + 3970/10887*c_0101_6^10 - 88733/87096*c_0101_6^9 + 14473/7258*c_0101_6^8 - 38509/21774*c_0101_6^7 + 2201/2292*c_0101_6^6 + 58619/87096*c_0101_6^5 - 12373/14516*c_0101_6^4 + 1860/3629*c_0101_6^3 - 9/191*c_0101_6^2 - 7426/10887*c_0101_6 - 10951/10887, c_0101_6^12 - 8*c_0101_6^11 + 27*c_0101_6^10 - 64*c_0101_6^9 + 88*c_0101_6^8 - 86*c_0101_6^7 + 15*c_0101_6^6 + 50*c_0101_6^5 - 108*c_0101_6^4 + 68*c_0101_6^3 - 24*c_0101_6^2 - 16*c_0101_6 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB