Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1797977996] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1844 geometric_solution 5.49113211 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.227968629416 3.662782331873 0 2 4 3 0132 3201 0132 0132 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 -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 0.339182342637 0.414481912485 5 4 1 0 0132 3201 2310 0132 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 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 0.339182342637 0.414481912485 5 4 1 6 2103 1023 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 -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 0.495282510005 0.542562564372 3 5 2 1 1023 2310 2310 0132 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 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 2.549990902132 1.069926277421 2 6 3 4 0132 1023 2103 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 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 0.495282510005 0.542562564372 5 6 3 6 1023 2310 0132 3201 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 -1 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 0.515088368868 1.438989054118 ==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_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 49819942610087/547238283633*c_0101_4^11 - 13493817286232/547238283633*c_0101_4^10 - 438804037533676/547238283633*c_0101_4^9 - 1520368751970530/547238283633*c_0101_4^8 + 6539363327286619/547238283633*c_0101_4^7 - 1510179903116408/547238283633*c_0101_4^6 - 154651839254224/20268084579*c_0101_4^5 + 3413707506842386/547238283633*c_0101_4^4 + 295037736982348/182412761211*c_0101_4^3 - 704287759954231/182412761211*c_0101_4^2 + 357176659841372/182412761211*c_0101_4 - 208091479225901/547238283633, c_0011_0 - 1, c_0011_2 + 10341296362/20268084579*c_0101_4^11 + 5309090543/20268084579*c_0101_4^10 - 92793083321/20268084579*c_0101_4^9 - 389790355861/20268084579*c_0101_4^8 + 1103585627066/20268084579*c_0101_4^7 + 758880767543/20268084579*c_0101_4^6 - 314650099551/6756028193*c_0101_4^5 - 237683410945/20268084579*c_0101_4^4 + 153202394506/6756028193*c_0101_4^3 - 38605525582/6756028193*c_0101_4^2 - 15290375647/6756028193*c_0101_4 + 12454846457/20268084579, c_0011_3 - 51574880/20268084579*c_0101_4^11 + 4743286646/20268084579*c_0101_4^10 + 4208143963/20268084579*c_0101_4^9 - 39183099433/20268084579*c_0101_4^8 - 196515173677/20268084579*c_0101_4^7 + 447564781448/20268084579*c_0101_4^6 + 152035699299/6756028193*c_0101_4^5 - 230737233124/20268084579*c_0101_4^4 - 59900425901/6756028193*c_0101_4^3 + 41187007093/6756028193*c_0101_4^2 - 339829658/6756028193*c_0101_4 - 18417062929/20268084579, c_0101_0 - 2682659371/20268084579*c_0101_4^11 - 3470297651/20268084579*c_0101_4^10 + 21792869735/20268084579*c_0101_4^9 + 119628829273/20268084579*c_0101_4^8 - 196599836249/20268084579*c_0101_4^7 - 377689120547/20268084579*c_0101_4^6 - 16159336084/6756028193*c_0101_4^5 + 206222061331/20268084579*c_0101_4^4 + 9871918753/6756028193*c_0101_4^3 - 15148579036/6756028193*c_0101_4^2 - 225432727/6756028193*c_0101_4 + 22858505470/20268084579, c_0101_1 - 9772187086/20268084579*c_0101_4^11 - 6870998711/20268084579*c_0101_4^10 + 84991657835/20268084579*c_0101_4^9 + 384174187129/20268084579*c_0101_4^8 - 958010768558/20268084579*c_0101_4^7 - 850444971089/20268084579*c_0101_4^6 + 190815475260/6756028193*c_0101_4^5 + 301808611327/20268084579*c_0101_4^4 - 100860350017/6756028193*c_0101_4^3 + 11404342014/6756028193*c_0101_4^2 + 13921265395/6756028193*c_0101_4 - 1897071443/20268084579, c_0101_2 - c_0101_4, c_0101_4^12 - 9*c_0101_4^10 - 33*c_0101_4^9 + 124*c_0101_4^8 + 10*c_0101_4^7 - 103*c_0101_4^6 + 35*c_0101_4^5 + 41*c_0101_4^4 - 36*c_0101_4^3 + 6*c_0101_4^2 + 2*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB