Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 2648441165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1196 geometric_solution 5.08440838 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 -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 0.656146225978 1.179466452259 0 4 2 3 0132 3120 1302 1302 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 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 0.639810397768 0.647464750181 1 0 2 2 2031 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.854395565556 0.979968550467 3 3 1 0 1302 2031 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 0.420337326530 0.368919435179 5 1 0 5 0132 3120 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 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 0 1 -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 0.042695830635 0.550758877580 4 4 6 6 0132 2310 0132 2310 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 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.896647790724 1.398302334556 5 6 6 5 3201 3201 2310 0132 0 0 0 0 0 1 -1 0 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 -1 1 0 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 -0.543544037008 0.124328737571 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_4, c_0011_6, c_0101_0, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 5316103/1797070*c_0110_2^11 - 34205213/1797070*c_0110_2^10 - 4210429/163370*c_0110_2^9 - 6906053/163370*c_0110_2^8 - 46466137/1797070*c_0110_2^7 - 50749673/898535*c_0110_2^6 - 128593259/1797070*c_0110_2^5 - 51598683/898535*c_0110_2^4 - 77215249/898535*c_0110_2^3 - 2307467/359414*c_0110_2^2 - 22796294/898535*c_0110_2 + 3893287/898535, c_0011_0 - 1, c_0011_3 - 14183/57970*c_0101_0*c_0110_2^11 - 84417/57970*c_0101_0*c_0110_2^10 - 6809/5270*c_0101_0*c_0110_2^9 - 2093/1054*c_0101_0*c_0110_2^8 - 639/57970*c_0101_0*c_0110_2^7 - 17324/5797*c_0101_0*c_0110_2^6 - 201103/57970*c_0101_0*c_0110_2^5 - 22192/28985*c_0101_0*c_0110_2^4 - 92129/28985*c_0101_0*c_0110_2^3 + 176951/57970*c_0101_0*c_0110_2^2 - 25932/28985*c_0101_0*c_0110_2 + 21348/28985*c_0101_0, c_0011_4 + 14183/57970*c_0101_0*c_0110_2^11 + 84417/57970*c_0101_0*c_0110_2^10 + 6809/5270*c_0101_0*c_0110_2^9 + 2093/1054*c_0101_0*c_0110_2^8 + 639/57970*c_0101_0*c_0110_2^7 + 17324/5797*c_0101_0*c_0110_2^6 + 201103/57970*c_0101_0*c_0110_2^5 + 22192/28985*c_0101_0*c_0110_2^4 + 92129/28985*c_0101_0*c_0110_2^3 - 176951/57970*c_0101_0*c_0110_2^2 - 3053/28985*c_0101_0*c_0110_2 - 21348/28985*c_0101_0, c_0011_6 + 42037/28985*c_0101_0*c_0110_2^11 + 262008/28985*c_0101_0*c_0110_2^10 + 57347/5270*c_0101_0*c_0110_2^9 + 20033/1054*c_0101_0*c_0110_2^8 + 556207/57970*c_0101_0*c_0110_2^7 + 305871/11594*c_0101_0*c_0110_2^6 + 1716729/57970*c_0101_0*c_0110_2^5 + 646441/28985*c_0101_0*c_0110_2^4 + 2248479/57970*c_0101_0*c_0110_2^3 - 112664/28985*c_0101_0*c_0110_2^2 + 372486/28985*c_0101_0*c_0110_2 - 324383/57970*c_0101_0, c_0101_0^2 - 6247/28985*c_0110_2^11 - 34553/28985*c_0110_2^10 - 1711/2635*c_0110_2^9 - 877/527*c_0110_2^8 - 3671/28985*c_0110_2^7 - 21940/5797*c_0110_2^6 - 79967/28985*c_0110_2^5 + 2769/28985*c_0110_2^4 - 124177/28985*c_0110_2^3 + 27309/28985*c_0110_2^2 - 112236/28985*c_0110_2 + 6794/28985, c_0101_5 - 212/155*c_0110_2^11 - 43/5*c_0110_2^10 - 1626/155*c_0110_2^9 - 525/31*c_0110_2^8 - 1251/155*c_0110_2^7 - 715/31*c_0110_2^6 - 4467/155*c_0110_2^5 - 3061/155*c_0110_2^4 - 5167/155*c_0110_2^3 + 649/155*c_0110_2^2 - 1456/155*c_0110_2 + 664/155, c_0110_2^12 + 6*c_0110_2^11 + 6*c_0110_2^10 + 11*c_0110_2^9 + 3*c_0110_2^8 + 16*c_0110_2^7 + 16*c_0110_2^6 + 10*c_0110_2^5 + 22*c_0110_2^4 - 10*c_0110_2^3 + 9*c_0110_2^2 - 6*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB