Magma V2.19-8 Tue Aug 20 2013 16:17:15 on localhost [Seed = 3583265035] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1492 geometric_solution 5.30286377 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 1 -1 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 -1 0 1 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 0.736545390453 2.954109050280 2 3 4 0 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.451617812253 0.352842125169 5 1 0 4 0132 2031 0132 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 -1 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 0.448596714545 0.498621898747 4 1 6 6 1230 0132 0132 3201 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 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.509467211057 0.636394877405 5 3 2 1 3012 3012 0132 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 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 -0.059261303206 0.852416204348 2 6 6 4 0132 3012 0321 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962487522846 0.688013023020 5 3 5 3 1230 2310 0321 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 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 0.079012043320 1.449152892708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_1100_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0011_4']), '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 649724362017/99990107728*c_1100_0^11 + 1410888255419/24997526932*c_1100_0^10 + 4862932807905/24997526932*c_1100_0^9 + 32059219929929/99990107728*c_1100_0^8 + 528152433689/2702435344*c_1100_0^7 - 31182569821415/99990107728*c_1100_0^6 - 92155117069203/99990107728*c_1100_0^5 - 42169047599531/99990107728*c_1100_0^4 + 99238073524755/99990107728*c_1100_0^3 + 9068952321791/12498763466*c_1100_0^2 - 4667791322007/49995053864*c_1100_0 - 51657905957887/99990107728, c_0011_0 - 1, c_0011_1 - 430962729/7142150552*c_1100_0^11 - 3873169633/7142150552*c_1100_0^10 - 13930960697/7142150552*c_1100_0^9 - 12297787915/3571075276*c_1100_0^8 - 497941055/193031096*c_1100_0^7 + 2065353069/892768819*c_1100_0^6 + 64496055843/7142150552*c_1100_0^5 + 20417531017/3571075276*c_1100_0^4 - 58460428041/7142150552*c_1100_0^3 - 55588127101/7142150552*c_1100_0^2 - 417009107/7142150552*c_1100_0 + 3984441014/892768819, c_0011_2 - 207200007/7142150552*c_1100_0^11 - 1844602019/7142150552*c_1100_0^10 - 6653070911/7142150552*c_1100_0^9 - 5920047531/3571075276*c_1100_0^8 - 233539973/193031096*c_1100_0^7 + 1166602321/892768819*c_1100_0^6 + 32908005997/7142150552*c_1100_0^5 + 10924825977/3571075276*c_1100_0^4 - 28594394531/7142150552*c_1100_0^3 - 34352831731/7142150552*c_1100_0^2 + 1848448239/7142150552*c_1100_0 + 2221467663/892768819, c_0011_4 - 16098705/3571075276*c_1100_0^11 - 151195421/3571075276*c_1100_0^10 - 535665241/3571075276*c_1100_0^9 - 398848631/1785537638*c_1100_0^8 - 3331395/96515548*c_1100_0^7 + 348935734/892768819*c_1100_0^6 + 2586340771/3571075276*c_1100_0^5 - 45903877/1785537638*c_1100_0^4 - 6278033677/3571075276*c_1100_0^3 - 1307582549/3571075276*c_1100_0^2 + 4799069537/3571075276*c_1100_0 + 212293783/892768819, c_0011_6 - 36760759/7142150552*c_1100_0^11 - 348296871/7142150552*c_1100_0^10 - 1446594927/7142150552*c_1100_0^9 - 1746450873/3571075276*c_1100_0^8 - 141439409/193031096*c_1100_0^7 - 443449908/892768819*c_1100_0^6 + 2900797661/7142150552*c_1100_0^5 + 3587901623/3571075276*c_1100_0^4 + 3657998193/7142150552*c_1100_0^3 - 4435742979/7142150552*c_1100_0^2 - 6154798181/7142150552*c_1100_0 + 312573302/892768819, c_0101_4 - 36760759/7142150552*c_1100_0^11 - 348296871/7142150552*c_1100_0^10 - 1446594927/7142150552*c_1100_0^9 - 1746450873/3571075276*c_1100_0^8 - 141439409/193031096*c_1100_0^7 - 443449908/892768819*c_1100_0^6 + 2900797661/7142150552*c_1100_0^5 + 3587901623/3571075276*c_1100_0^4 + 3657998193/7142150552*c_1100_0^3 - 4435742979/7142150552*c_1100_0^2 - 6154798181/7142150552*c_1100_0 + 312573302/892768819, c_1100_0^12 + 8*c_1100_0^11 + 24*c_1100_0^10 + 29*c_1100_0^9 - 3*c_1100_0^8 - 67*c_1100_0^7 - 107*c_1100_0^6 + 33*c_1100_0^5 + 195*c_1100_0^4 + 4*c_1100_0^3 - 90*c_1100_0^2 - 67*c_1100_0 + 56 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB