Magma V2.19-8 Tue Aug 20 2013 16:17:26 on localhost [Seed = 374835933] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1672 geometric_solution 5.40316839 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 0 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 0.437495212620 0.207198676308 2 0 3 0 0132 2310 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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695526792579 0.677006128819 1 4 5 5 0132 0132 0132 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 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.236883839924 1.872080787589 6 6 4 1 0132 3201 3201 0132 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 -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 -0.236883839924 1.872080787589 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380980222666 0.483803142723 6 2 6 2 1302 2310 2031 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 -0.409025938909 0.837452413284 3 5 3 5 0132 2031 2310 1302 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 0 0 0 0 -0.409025938909 0.837452413284 ==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_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 44250184637371/32919505592124*c_0101_3^16 - 356109640117361/16459752796062*c_0101_3^14 - 8209793449519885/32919505592124*c_0101_3^12 - 16887147130097311/16459752796062*c_0101_3^10 - 16279145812964861/8229876398031*c_0101_3^8 - 69063847320353221/32919505592124*c_0101_3^6 - 14342537283031377/10973168530708*c_0101_3^4 - 18964844450416547/32919505592124*c_0101_3^2 - 3203357059040573/32919505592124, c_0011_0 - 1, c_0011_1 + 33113720487/2743292132677*c_0101_3^16 - 566338260375/2743292132677*c_0101_3^14 - 5572147475420/2743292132677*c_0101_3^12 - 19665155311241/2743292132677*c_0101_3^10 - 29237571824183/2743292132677*c_0101_3^8 - 24292926502501/2743292132677*c_0101_3^6 - 13424755711634/2743292132677*c_0101_3^4 - 5890440807884/2743292132677*c_0101_3^2 + 858620264767/2743292132677, c_0011_3 + 61931446535/5486584265354*c_0101_3^16 - 1001775149753/5486584265354*c_0101_3^14 - 5679565987837/2743292132677*c_0101_3^12 - 23628966103324/2743292132677*c_0101_3^10 - 47649803076232/2743292132677*c_0101_3^8 - 113578530756867/5486584265354*c_0101_3^6 - 38074426655900/2743292132677*c_0101_3^4 - 28174405528463/5486584265354*c_0101_3^2 - 1560769119295/2743292132677, c_0011_5 - 61931446535/5486584265354*c_0101_3^16 + 1001775149753/5486584265354*c_0101_3^14 + 5679565987837/2743292132677*c_0101_3^12 + 23628966103324/2743292132677*c_0101_3^10 + 47649803076232/2743292132677*c_0101_3^8 + 113578530756867/5486584265354*c_0101_3^6 + 38074426655900/2743292132677*c_0101_3^4 + 28174405528463/5486584265354*c_0101_3^2 + 1560769119295/2743292132677, c_0101_0 - 230623065185/5486584265354*c_0101_3^17 + 1870164385844/2743292132677*c_0101_3^15 + 42364079857989/5486584265354*c_0101_3^13 + 85082363250167/2743292132677*c_0101_3^11 + 156306652103087/2743292132677*c_0101_3^9 + 302513982558491/5486584265354*c_0101_3^7 + 163492508139045/5486584265354*c_0101_3^5 + 61955866564419/5486584265354*c_0101_3^3 + 5856809185783/5486584265354*c_0101_3, c_0101_1 - 36956152861/2743292132677*c_0101_3^16 + 607917597277/2743292132677*c_0101_3^14 + 6648860430506/2743292132677*c_0101_3^12 + 25705158021390/2743292132677*c_0101_3^10 + 44165118592880/2743292132677*c_0101_3^8 + 39556927707530/2743292132677*c_0101_3^6 + 22135523109144/2743292132677*c_0101_3^4 + 11343303325074/2743292132677*c_0101_3^2 + 1680224236649/2743292132677, c_0101_3^18 - 16*c_0101_3^16 - 187*c_0101_3^14 - 782*c_0101_3^12 - 1556*c_0101_3^10 - 1747*c_0101_3^8 - 1203*c_0101_3^6 - 599*c_0101_3^4 - 155*c_0101_3^2 - 24 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB