Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 2884253582] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s294 geometric_solution 4.46179892 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.649376205852 0.370056395281 0 2 2 0 3201 0132 1023 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 -2 1 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 0.963207557243 0.647224445631 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 0 1 -1 0 2 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432328721527 0.180021701366 2 4 5 4 0132 1302 0132 0321 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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793205907065 0.736127306541 5 3 2 3 0132 0321 0132 2031 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793205907065 0.736127306541 4 5 5 3 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928186987274 0.473679840326 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(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_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : negation(d['c_0011_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 76817/261*c_0101_5^10 + 14363/29*c_0101_5^9 + 1451056/261*c_0101_5^8 + 1076705/87*c_0101_5^7 + 6417313/261*c_0101_5^6 + 9762409/261*c_0101_5^5 + 5021395/261*c_0101_5^4 - 1677607/261*c_0101_5^3 - 1743256/261*c_0101_5^2 - 19696/261*c_0101_5 + 134026/261, c_0011_0 - 1, c_0011_1 - 479/9*c_0101_5^10 + 88*c_0101_5^9 + 9058/9*c_0101_5^8 + 6812/3*c_0101_5^7 + 40849/9*c_0101_5^6 + 62560/9*c_0101_5^5 + 34180/9*c_0101_5^4 - 7972/9*c_0101_5^3 - 10360/9*c_0101_5^2 - 436/9*c_0101_5 + 727/9, c_0011_4 + 199/9*c_0101_5^10 - 118/3*c_0101_5^9 - 3704/9*c_0101_5^8 - 896*c_0101_5^7 - 16196/9*c_0101_5^6 - 24377/9*c_0101_5^5 - 12035/9*c_0101_5^4 + 3710/9*c_0101_5^3 + 3701/9*c_0101_5^2 + 65/9*c_0101_5 - 248/9, c_0101_0 + 412/9*c_0101_5^10 - 224/3*c_0101_5^9 - 7814/9*c_0101_5^8 - 5912/3*c_0101_5^7 - 35384/9*c_0101_5^6 - 54341/9*c_0101_5^5 - 30086/9*c_0101_5^4 + 6947/9*c_0101_5^3 + 9146/9*c_0101_5^2 + 356/9*c_0101_5 - 644/9, c_0101_3 + 736/9*c_0101_5^10 - 401/3*c_0101_5^9 - 13961/9*c_0101_5^8 - 10535/3*c_0101_5^7 - 63068/9*c_0101_5^6 - 96803/9*c_0101_5^5 - 53189/9*c_0101_5^4 + 12536/9*c_0101_5^3 + 16355/9*c_0101_5^2 + 662/9*c_0101_5 - 1166/9, c_0101_5^11 - c_0101_5^10 - 20*c_0101_5^9 - 55*c_0101_5^8 - 113*c_0101_5^7 - 186*c_0101_5^6 - 156*c_0101_5^5 - 29*c_0101_5^4 + 33*c_0101_5^3 + 15*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB