Magma V2.19-8 Tue Aug 20 2013 16:18:46 on localhost [Seed = 1797977627] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2931 geometric_solution 6.12869361 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 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 1 0 -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 0.681194413138 0.521125320575 0 3 5 4 0132 0132 0132 0132 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 -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 0.200173816249 0.981111015227 4 4 0 5 3012 2031 0132 3012 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 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 0.735612498178 0.403013311769 5 1 3 3 1230 0132 2031 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 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 1.364880778500 1.326821414360 2 6 1 2 1302 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.586994802921 1.523464019703 6 3 2 1 2031 3012 1230 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 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 0.259134336497 1.032458608694 6 4 5 6 3201 0132 1302 2310 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 -1 1 -1 0 1 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 0.220218941195 0.571547876912 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_2']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0011_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_2, c_0011_4, c_0011_5, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 432*c_0110_2^3 + 1108*c_0110_2^2 - 779*c_0110_2 + 128, c_0011_0 - 1, c_0011_2 + 16*c_0110_2^3 - 36*c_0110_2^2 + 21*c_0110_2 - 3, c_0011_4 + 16*c_0110_2^3 - 36*c_0110_2^2 + 21*c_0110_2 - 3, c_0011_5 - 1, c_0101_1 + c_0110_2 - 1, c_0101_3 - 16*c_0110_2^3 + 44*c_0110_2^2 - 33*c_0110_2 + 6, c_0110_2^4 - 11/4*c_0110_2^3 + 37/16*c_0110_2^2 - 11/16*c_0110_2 + 1/16 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 444477/7*c_0110_2^13 + 338628*c_0110_2^12 + 11308967/7*c_0110_2^11 + 4014201/7*c_0110_2^10 + 1015030*c_0110_2^9 + 1037955/7*c_0110_2^8 - 47803269/7*c_0110_2^7 - 29899448/7*c_0110_2^6 + 5132166*c_0110_2^5 + 28041696/7*c_0110_2^4 - 7576167/7*c_0110_2^3 - 7834745/7*c_0110_2^2 + 332037/7*c_0110_2 + 667039/7, c_0011_0 - 1, c_0011_2 - 1299*c_0110_2^13 - 6880*c_0110_2^12 - 32829*c_0110_2^11 - 10669*c_0110_2^10 - 21042*c_0110_2^9 - 2067*c_0110_2^8 + 139186*c_0110_2^7 + 82629*c_0110_2^6 - 104999*c_0110_2^5 - 78187*c_0110_2^4 + 22550*c_0110_2^3 + 21862*c_0110_2^2 - 1069*c_0110_2 - 1853, c_0011_4 - 3038*c_0110_2^13 - 16104*c_0110_2^12 - 76840*c_0110_2^11 - 25253*c_0110_2^10 - 49119*c_0110_2^9 - 5195*c_0110_2^8 + 325731*c_0110_2^7 + 194483*c_0110_2^6 - 245616*c_0110_2^5 - 183626*c_0110_2^4 + 52651*c_0110_2^3 + 51260*c_0110_2^2 - 2484*c_0110_2 - 4337, c_0011_5 - 2*c_0110_2^13 - 11*c_0110_2^12 - 53*c_0110_2^11 - 28*c_0110_2^10 - 42*c_0110_2^9 - 6*c_0110_2^8 + 205*c_0110_2^7 + 179*c_0110_2^6 - 112*c_0110_2^5 - 158*c_0110_2^4 - 9*c_0110_2^3 + 42*c_0110_2^2 + 9*c_0110_2 - 3, c_0101_1 - c_0110_2^13 - 6*c_0110_2^12 - 29*c_0110_2^11 - 26*c_0110_2^10 - 22*c_0110_2^9 - 13*c_0110_2^8 + 106*c_0110_2^7 + 139*c_0110_2^6 - 36*c_0110_2^5 - 117*c_0110_2^4 - 25*c_0110_2^3 + 29*c_0110_2^2 + 10*c_0110_2 - 2, c_0101_3 + 1596*c_0110_2^13 + 8578*c_0110_2^12 + 40919*c_0110_2^11 + 15902*c_0110_2^10 + 25136*c_0110_2^9 + 4995*c_0110_2^8 - 172310*c_0110_2^7 - 114132*c_0110_2^6 + 128959*c_0110_2^5 + 106264*c_0110_2^4 - 26630*c_0110_2^3 - 29748*c_0110_2^2 + 1048*c_0110_2 + 2555, c_0110_2^14 + 6*c_0110_2^13 + 29*c_0110_2^12 + 26*c_0110_2^11 + 22*c_0110_2^10 + 13*c_0110_2^9 - 106*c_0110_2^8 - 139*c_0110_2^7 + 36*c_0110_2^6 + 117*c_0110_2^5 + 25*c_0110_2^4 - 29*c_0110_2^3 - 11*c_0110_2^2 + 2*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB