Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 2513701294] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0111 geometric_solution 3.63478916 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.133095166663 0.036112908623 0 0 3 3 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 -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 4.276456919493 1.497250308414 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.390688512727 0.328439741992 4 1 1 5 0132 3201 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 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 -0.302057993813 0.991925299556 3 5 6 6 0132 2310 0213 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 -1 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 0.202756685214 0.405172536386 6 6 3 4 3120 1023 0132 3201 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 -1 1 0 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202756685214 0.405172536386 5 4 4 5 1023 0213 0132 3120 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 1 0 -1 1 0 -1 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996851096437 0.506616586996 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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_0'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 9754486255/1273597336*c_0110_5^10 + 25941191107/1273597336*c_0110_5^9 + 37878750127/636798668*c_0110_5^8 + 282448409417/636798668*c_0110_5^7 - 44332740601/115781576*c_0110_5^6 + 1589664063705/1273597336*c_0110_5^5 - 1391632527445/1273597336*c_0110_5^4 + 1504021607317/1273597336*c_0110_5^3 - 563123013831/636798668*c_0110_5^2 + 238544564165/636798668*c_0110_5 - 160485720363/636798668, c_0011_0 - 1, c_0011_3 + 3214637/28945394*c_0110_5^10 - 2128583/14472697*c_0110_5^9 - 34911009/28945394*c_0110_5^8 - 111458781/14472697*c_0110_5^7 - 49961716/14472697*c_0110_5^6 - 399711579/28945394*c_0110_5^5 - 200147423/28945394*c_0110_5^4 - 66739764/14472697*c_0110_5^3 - 73935551/14472697*c_0110_5^2 + 8963007/14472697*c_0110_5 - 10132772/14472697, c_0011_5 + 205317/28945394*c_0101_2*c_0110_5^10 - 2321823/14472697*c_0101_2*c_0110_5^9 + 6147889/28945394*c_0101_2*c_0110_5^8 + 29410039/28945394*c_0101_2*c_0110_5^7 + 269744685/28945394*c_0101_2*c_0110_5^6 - 33852232/14472697*c_0101_2*c_0110_5^5 + 476995349/28945394*c_0101_2*c_0110_5^4 - 60134751/28945394*c_0101_2*c_0110_5^3 + 93769125/14472697*c_0101_2*c_0110_5^2 - 192557/14472697*c_0101_2*c_0110_5 + 2669370/14472697*c_0101_2, c_0101_0 + 1006213/28945394*c_0101_2*c_0110_5^10 - 630426/14472697*c_0101_2*c_0110_5^9 - 5241585/14472697*c_0101_2*c_0110_5^8 - 36957254/14472697*c_0101_2*c_0110_5^7 - 18903571/14472697*c_0101_2*c_0110_5^6 - 68126958/14472697*c_0101_2*c_0110_5^5 + 43141883/14472697*c_0101_2*c_0110_5^4 - 97194993/28945394*c_0101_2*c_0110_5^3 + 80238945/14472697*c_0101_2*c_0110_5^2 - 6820038/14472697*c_0101_2*c_0110_5 + 7823612/14472697*c_0101_2, c_0101_1 + 3599895/28945394*c_0101_2*c_0110_5^10 - 1181422/14472697*c_0101_2*c_0110_5^9 - 21001494/14472697*c_0101_2*c_0110_5^8 - 140033658/14472697*c_0101_2*c_0110_5^7 - 138157616/14472697*c_0101_2*c_0110_5^6 - 247734018/14472697*c_0101_2*c_0110_5^5 - 130347551/14472697*c_0101_2*c_0110_5^4 - 259993873/28945394*c_0101_2*c_0110_5^3 - 14423331/14472697*c_0101_2*c_0110_5^2 - 7734748/14472697*c_0101_2*c_0110_5 + 8223522/14472697*c_0101_2, c_0101_2^2 + 9049/28945394*c_0110_5^10 + 227772/14472697*c_0110_5^9 - 489023/14472697*c_0110_5^8 - 2256880/14472697*c_0110_5^7 - 31536951/28945394*c_0110_5^6 - 2756280/14472697*c_0110_5^5 - 52162578/14472697*c_0110_5^4 + 2643356/14472697*c_0110_5^3 - 104299919/28945394*c_0110_5^2 + 1175357/28945394*c_0110_5 - 22699810/14472697, c_0110_5^11 - 2*c_0110_5^10 - 9*c_0110_5^9 - 64*c_0110_5^8 + 7*c_0110_5^7 - 164*c_0110_5^6 + 34*c_0110_5^5 - 146*c_0110_5^4 + 21*c_0110_5^3 - 48*c_0110_5^2 + 4*c_0110_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB