Magma V2.19-8 Tue Aug 20 2013 17:55:06 on localhost [Seed = 1309669874] Type ? for help. Type -D to quit. Loading file "9_6__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_6 geometric_solution 7.20360076 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410927695171 1.362462023040 0 5 2 4 0132 0132 1023 3201 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 15 -15 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543664972292 0.290460881950 6 0 1 7 0132 0132 1023 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 -1 0 1 0 0 15 -15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978127178474 1.179141268088 3 4 3 0 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037613117103 0.781504575979 5 1 0 3 2310 2310 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410927695171 1.362462023040 7 1 4 6 1023 0132 3201 1023 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 -15 1 14 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 0.978127178474 1.179141268088 2 7 7 5 0132 1023 0132 1023 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 14 -14 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132844836985 0.684153152244 6 5 2 6 1023 1023 0132 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 -1 0 15 -14 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132844836985 0.684153152244 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : 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_2_7' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_4'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], '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_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_1'], '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_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3999/1127*c_0101_6^11 - 12221/1127*c_0101_6^10 - 7571/1127*c_0101_6^9 + 537/1127*c_0101_6^8 - 6637/1127*c_0101_6^7 - 2209/161*c_0101_6^6 - 1065/1127*c_0101_6^5 + 7428/1127*c_0101_6^4 - 508/161*c_0101_6^3 - 7261/1127*c_0101_6^2 + 268/1127*c_0101_6 - 47/1127, c_0011_0 - 1, c_0011_3 + c_0101_6^9 + 3*c_0101_6^8 + 2*c_0101_6^7 + c_0101_6^5 + 4*c_0101_6^4 + c_0101_6^3 + c_0101_6 + 2, c_0011_4 + 1, c_0101_0 - c_0101_6^10 - c_0101_6^9 + 3*c_0101_6^8 + c_0101_6^7 - 2*c_0101_6^6 - c_0101_6^5 + 5*c_0101_6^4 + c_0101_6^3 - 2*c_0101_6^2 + c_0101_6 + 2, c_0101_1 + c_0101_6^11 + 2*c_0101_6^10 + c_0101_6^8 + 2*c_0101_6^7 + 2*c_0101_6^6 + 2*c_0101_6^4 + c_0101_6^3 + c_0101_6 + 1, c_0101_2 - c_0101_6^11 - 2*c_0101_6^10 + c_0101_6^9 + c_0101_6^8 - 3*c_0101_6^7 - 3*c_0101_6^6 + 3*c_0101_6^5 + c_0101_6^4 - 4*c_0101_6^3 - c_0101_6^2 + c_0101_6, c_0101_5 + c_0101_6^11 + 2*c_0101_6^10 - c_0101_6^9 - c_0101_6^8 + 3*c_0101_6^7 + 3*c_0101_6^6 - 3*c_0101_6^5 - c_0101_6^4 + 4*c_0101_6^3 + c_0101_6^2 - c_0101_6, c_0101_6^12 + 2*c_0101_6^11 - c_0101_6^10 - c_0101_6^9 + 3*c_0101_6^8 + 3*c_0101_6^7 - 3*c_0101_6^6 - c_0101_6^5 + 4*c_0101_6^4 + c_0101_6^3 - 2*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB