Magma V2.19-8 Tue Aug 20 2013 17:55:54 on localhost [Seed = 2000076946] Type ? for help. Type -D to quit. Loading file "10^2_175__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_175 geometric_solution 10.04384757 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 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 -6 1 0 5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685988431999 0.435719867865 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 5 -5 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.964222471789 1.326224530991 6 0 6 8 0132 0132 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 1 -1 0 1 0 -1 0 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768831245503 0.621962755657 3 9 3 0 2031 0132 1302 0132 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 0 0 0 0 0 0 0 5 0 0 -5 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392872799290 1.566517529701 7 7 0 9 0132 1230 0132 2310 0 0 1 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 -1 1 0 0 0 0 0 1 0 -1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786117828957 0.597752034751 7 1 10 10 1302 0132 0132 3120 0 1 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 0 6 0 -6 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370086765606 0.574332369443 2 10 1 2 0132 0132 0132 3012 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 -1 0 0 1 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463389061830 0.673164838319 4 5 4 1 0132 2031 3012 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193964002765 0.612897506815 9 9 2 10 3012 0213 0132 3012 0 0 1 0 0 0 0 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 -5 6 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278815299254 0.752578137603 4 3 8 8 3201 0132 0213 1230 0 1 0 0 0 0 0 0 0 0 -1 1 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 1 0 -6 5 -1 -5 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278815299254 0.752578137603 5 6 8 5 3120 0132 1230 0132 0 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 -1 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866874921548 0.790385565056 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0101_10']), 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_2'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0101_10']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_2'], '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_0110_10' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_0, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1032676432/30592415*c_1001_5^11 + 17791080358/30592415*c_1001_5^10 - 140161534976/30592415*c_1001_5^9 + 670835424769/30592415*c_1001_5^8 - 44512313589/624335*c_1001_5^7 + 5088499626782/30592415*c_1001_5^6 - 1748266295844/6118483*c_1001_5^5 + 17847100968/49105*c_1001_5^4 - 1474773718077/4370345*c_1001_5^3 + 6710989055899/30592415*c_1001_5^2 - 2776175388599/30592415*c_1001_5 + 562236428056/30592415, c_0011_0 - 1, c_0011_3 - c_1001_5^10 + 14*c_1001_5^9 - 89*c_1001_5^8 + 342*c_1001_5^7 - 888*c_1001_5^6 + 1640*c_1001_5^5 - 2195*c_1001_5^4 + 2114*c_1001_5^3 - 1411*c_1001_5^2 + 594*c_1001_5 - 121, c_0011_4 - 1, c_0011_8 + c_1001_5^5 - 7*c_1001_5^4 + 20*c_1001_5^3 - 31*c_1001_5^2 + 27*c_1001_5 - 11, c_0101_0 + c_1001_5^3 - 4*c_1001_5^2 + 6*c_1001_5 - 4, c_0101_1 - c_1001_5^4 + 6*c_1001_5^3 - 13*c_1001_5^2 + 14*c_1001_5 - 7, c_0101_10 - c_1001_5 + 1, c_0101_2 + c_1001_5^2 - 2*c_1001_5 + 1, c_1001_0 - c_1001_5^6 + 8*c_1001_5^5 - 27*c_1001_5^4 + 52*c_1001_5^3 - 62*c_1001_5^2 + 44*c_1001_5 - 15, c_1001_2 - c_1001_5^5 + 6*c_1001_5^4 - 14*c_1001_5^3 + 18*c_1001_5^2 - 13*c_1001_5 + 4, c_1001_5^12 - 18*c_1001_5^11 + 149*c_1001_5^10 - 754*c_1001_5^9 + 2611*c_1001_5^8 - 6548*c_1001_5^7 + 12244*c_1001_5^6 - 17262*c_1001_5^5 + 18270*c_1001_5^4 - 14200*c_1001_5^3 + 7715*c_1001_5^2 - 2636*c_1001_5 + 427 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB