Magma V2.19-8 Tue Aug 20 2013 16:18:15 on localhost [Seed = 3364443632] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2462 geometric_solution 5.80222500 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 1 0 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194644703780 0.385308030251 0 5 2 4 0132 0132 2031 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 -1 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.165475422026 0.821173673876 5 0 6 1 0132 0132 0132 1302 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 -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 0.200103939270 1.183467583508 6 4 5 0 2310 2031 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 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 0.200103939270 1.183467583508 3 1 0 5 1302 2310 0132 0132 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 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 -0.165475422026 0.821173673876 2 1 4 3 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 -1 1 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 1.102816346958 2.022913028064 6 6 3 2 1230 3012 3201 0132 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 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 0.054629580327 0.482142046415 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_0101_0']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_0']), '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_4, c_0011_6, c_0101_0, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 157243/229376*c_0101_5^11 - 30627/4096*c_0101_5^10 - 48665/3584*c_0101_5^9 + 2480369/32768*c_0101_5^8 + 980921/8192*c_0101_5^7 - 9729505/32768*c_0101_5^6 - 5128581/16384*c_0101_5^5 + 30293675/57344*c_0101_5^4 + 5026691/14336*c_0101_5^3 - 6312753/14336*c_0101_5^2 - 535909/3584*c_0101_5 + 513439/3584, c_0011_0 - 1, c_0011_3 + 81/32*c_0101_5^11 + 945/32*c_0101_5^10 + 297/4*c_0101_5^9 - 6477/32*c_0101_5^8 - 17073/32*c_0101_5^7 + 19169/32*c_0101_5^6 + 38967/32*c_0101_5^5 - 14257/16*c_0101_5^4 - 9475/8*c_0101_5^3 + 675*c_0101_5^2 + 432*c_0101_5 - 216, c_0011_4 + 81/32*c_0101_5^11 + 459/16*c_0101_5^10 + 513/8*c_0101_5^9 - 7377/32*c_0101_5^8 - 7605/16*c_0101_5^7 + 25529/32*c_0101_5^6 + 8709/8*c_0101_5^5 - 10773/8*c_0101_5^4 - 8503/8*c_0101_5^3 + 4481/4*c_0101_5^2 + 783/2*c_0101_5 - 378, c_0011_6 - 27/64*c_0101_5^11 - 55/8*c_0101_5^10 - 36*c_0101_5^9 - 2153/64*c_0101_5^8 + 3471/16*c_0101_5^7 + 23641/64*c_0101_5^6 - 14907/32*c_0101_5^5 - 14713/16*c_0101_5^4 + 1699/4*c_0101_5^3 + 1853/2*c_0101_5^2 - 139*c_0101_5 - 341, c_0101_0 + 27/32*c_0101_5^11 + 135/16*c_0101_5^10 + 123/16*c_0101_5^9 - 3735/32*c_0101_5^8 - 1421/16*c_0101_5^7 + 17169/32*c_0101_5^6 + 1863/8*c_0101_5^5 - 16769/16*c_0101_5^4 - 2051/8*c_0101_5^3 + 3755/4*c_0101_5^2 + 108*c_0101_5 - 325, c_0101_5^12 + 12*c_0101_5^11 + 32*c_0101_5^10 - 85*c_0101_5^9 - 280*c_0101_5^8 + 245*c_0101_5^7 + 854*c_0101_5^6 - 348*c_0101_5^5 - 1248*c_0101_5^4 + 240*c_0101_5^3 + 896*c_0101_5^2 - 64*c_0101_5 - 256, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB