Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 1141234035] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2609 geometric_solution 5.89095064 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 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 -1 1 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 -0.099023268641 0.894127406437 0 4 6 5 0132 3012 0132 0132 0 0 0 0 0 1 -1 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 0.300815233995 1.452184171999 4 0 5 6 3012 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 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 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 -0.567748008483 0.675697057531 3 3 5 0 1302 2031 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 1 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401372387830 0.267932155037 1 6 0 2 1230 0132 0132 1230 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684444228314 0.924809074549 3 6 1 2 2310 2031 0132 0132 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 -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 -0.099023268641 0.894127406437 5 4 2 1 1302 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.482944960350 0.698635729441 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(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_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_3'], '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_4']), '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_1']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_5, c_0101_0, c_0101_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 304813/57264*c_0101_1^10 - 2660507/143160*c_0101_1^9 + 3531371/286320*c_0101_1^8 + 3136873/28632*c_0101_1^7 + 135541/4772*c_0101_1^6 - 10414993/47720*c_0101_1^5 - 1554221/14316*c_0101_1^4 + 17290629/95440*c_0101_1^3 + 270181/2386*c_0101_1^2 - 1934681/35790*c_0101_1 - 684118/17895, c_0011_0 - 1, c_0011_3 + 1905/38176*c_0101_1^10 - 25267/38176*c_0101_1^9 - 122133/38176*c_0101_1^8 + 331/19088*c_0101_1^7 + 610879/38176*c_0101_1^6 + 372905/38176*c_0101_1^5 - 245343/9544*c_0101_1^4 - 183301/9544*c_0101_1^3 + 67985/4772*c_0101_1^2 + 13209/1193*c_0101_1 - 818/1193, c_0011_4 + 32395/19088*c_0101_1^10 + 55601/9544*c_0101_1^9 - 47007/9544*c_0101_1^8 - 705723/19088*c_0101_1^7 - 117139/19088*c_0101_1^6 + 388175/4772*c_0101_1^5 + 661981/19088*c_0101_1^4 - 727499/9544*c_0101_1^3 - 198435/4772*c_0101_1^2 + 63023/2386*c_0101_1 + 18625/1193, c_0011_5 - 17015/19088*c_0101_1^10 - 62019/19088*c_0101_1^9 + 24715/19088*c_0101_1^8 + 166531/9544*c_0101_1^7 + 142447/19088*c_0101_1^6 - 565743/19088*c_0101_1^5 - 85745/4772*c_0101_1^4 + 87797/4772*c_0101_1^3 + 12778/1193*c_0101_1^2 - 2723/1193*c_0101_1 + 431/1193, c_0101_0 - 4925/19088*c_0101_1^10 - 28395/19088*c_0101_1^9 - 19379/19088*c_0101_1^8 + 73605/9544*c_0101_1^7 + 212379/19088*c_0101_1^6 - 275783/19088*c_0101_1^5 - 113265/4772*c_0101_1^4 + 111321/9544*c_0101_1^3 + 24103/1193*c_0101_1^2 - 3435/1193*c_0101_1 - 8167/1193, c_0101_1^11 + 23/5*c_0101_1^10 + c_0101_1^9 - 128/5*c_0101_1^8 - 29*c_0101_1^7 + 231/5*c_0101_1^6 + 394/5*c_0101_1^5 - 124/5*c_0101_1^4 - 416/5*c_0101_1^3 - 64/5*c_0101_1^2 + 32*c_0101_1 + 64/5, c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB