Magma V2.19-8 Tue Aug 20 2013 16:19:18 on localhost [Seed = 2227509642] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3422 geometric_solution 6.58991773 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 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 0.090897864064 0.756447924505 0 3 5 4 0132 0132 0132 0132 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 -1 0 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 -0.043634530608 1.094017180584 3 0 6 5 0132 0132 0132 2310 0 0 0 0 0 1 -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 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 -0.043634530608 1.094017180584 2 1 3 3 0132 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.043634530608 1.094017180584 5 6 1 6 2310 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426431095920 1.169965756383 2 6 4 1 3201 0132 3201 0132 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 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 0.337830435027 0.689106465910 4 5 4 2 1302 0132 2031 0132 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 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 0.426431095920 1.169965756383 ==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_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 17269748221537/389392898*c_0101_3^7 - 41862481350925/194696449*c_0101_3^6 - 32695575035963/194696449*c_0101_3^5 - 149858048632/1125413*c_0101_3^4 - 956227296919/16930126*c_0101_3^3 - 4475179802085/194696449*c_0101_3^2 - 1759495716237/389392898*c_0101_3 - 281332026667/389392898, c_0011_0 - 1, c_0011_4 - 25853642969/389392898*c_0101_3^7 - 71618017605/194696449*c_0101_3^6 - 91849572057/194696449*c_0101_3^5 - 401869073/1125413*c_0101_3^4 - 3267049569/16930126*c_0101_3^3 - 14381372631/194696449*c_0101_3^2 - 7391734423/389392898*c_0101_3 - 844891841/389392898, c_0011_5 + 25853642969/389392898*c_0101_3^7 + 71618017605/194696449*c_0101_3^6 + 91849572057/194696449*c_0101_3^5 + 401869073/1125413*c_0101_3^4 + 3267049569/16930126*c_0101_3^3 + 14381372631/194696449*c_0101_3^2 + 7391734423/389392898*c_0101_3 + 844891841/389392898, c_0101_0 + 9046347716/194696449*c_0101_3^7 + 51408106266/194696449*c_0101_3^6 + 70041385415/194696449*c_0101_3^5 + 296233745/1125413*c_0101_3^4 + 1253507890/8465063*c_0101_3^3 + 11370149048/194696449*c_0101_3^2 + 3130925961/194696449*c_0101_3 + 411122926/194696449, c_0101_1 + 21598418891/389392898*c_0101_3^7 + 116265689449/389392898*c_0101_3^6 + 138664131181/389392898*c_0101_3^5 + 644422327/2250826*c_0101_3^4 + 1284314398/8465063*c_0101_3^3 + 11641878311/194696449*c_0101_3^2 + 5935635845/389392898*c_0101_3 + 291700787/194696449, c_0101_2 + 8144255/97862*c_0101_3^7 + 41667981/97862*c_0101_3^6 + 40558245/97862*c_0101_3^5 + 28505329/97862*c_0101_3^4 + 6846249/48931*c_0101_3^3 + 2366883/48931*c_0101_3^2 + 963153/97862*c_0101_3 + 12039/48931, c_0101_3^8 + 716/133*c_0101_3^7 + 853/133*c_0101_3^6 + 687/133*c_0101_3^5 + 388/133*c_0101_3^4 + 163/133*c_0101_3^3 + 7/19*c_0101_3^2 + 9/133*c_0101_3 + 1/133 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB