Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 4105529800] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3528 geometric_solution 6.86885990 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.563293629362 1.134179098276 0 2 2 5 0132 2031 1230 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605680842808 0.896790388068 1 0 5 1 1302 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 -1 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 0 1 0 -1 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605680842808 0.896790388068 6 4 4 0 0132 3012 2031 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 -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 0.605680842808 0.896790388068 3 6 0 3 1230 2310 0132 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 -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 0.605680842808 0.896790388068 6 2 1 6 2103 3201 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967900140985 0.820532927760 3 5 5 4 0132 0321 2103 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 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 0.967900140985 0.820532927760 ==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_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_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], '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_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], '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_0011_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2807661065/32226267*c_1001_2^11 + 35358632807/64452534*c_1001_2^10 - 40769241367/64452534*c_1001_2^9 - 84695296864/32226267*c_1001_2^8 + 385738593293/64452534*c_1001_2^7 + 67004424429/21484178*c_1001_2^6 - 864032842385/64452534*c_1001_2^5 + 62515668965/64452534*c_1001_2^4 + 162575360417/21484178*c_1001_2^3 - 80290860556/32226267*c_1001_2^2 + 93083801909/21484178*c_1001_2 + 114364268069/64452534, c_0011_0 - 1, c_0011_3 + 6496/346519*c_1001_2^11 - 33277/346519*c_1001_2^10 + 37725/346519*c_1001_2^9 + 71668/346519*c_1001_2^8 - 150876/346519*c_1001_2^7 + 67189/346519*c_1001_2^6 - 92231/346519*c_1001_2^5 - 30589/346519*c_1001_2^4 + 152305/346519*c_1001_2^3 - 145883/346519*c_1001_2^2 + 247474/346519*c_1001_2 + 11129/346519, c_0011_5 - 1606/346519*c_1001_2^11 + 69572/346519*c_1001_2^10 - 360860/346519*c_1001_2^9 + 387265/346519*c_1001_2^8 + 1195067/346519*c_1001_2^7 - 2422507/346519*c_1001_2^6 - 822478/346519*c_1001_2^5 + 2745468/346519*c_1001_2^4 - 173680/346519*c_1001_2^3 + 504742/346519*c_1001_2^2 + 477586/346519*c_1001_2 - 85007/346519, c_0101_0 + c_1001_2, c_0101_1 - 59936/346519*c_1001_2^11 + 411160/346519*c_1001_2^10 - 785063/346519*c_1001_2^9 - 668080/346519*c_1001_2^8 + 3583848/346519*c_1001_2^7 - 1848959/346519*c_1001_2^6 - 3370408/346519*c_1001_2^5 + 2967328/346519*c_1001_2^4 - 792448/346519*c_1001_2^3 + 173302/346519*c_1001_2^2 + 514413/346519*c_1001_2 - 75371/346519, c_0101_3 + 27244/346519*c_1001_2^11 - 176903/346519*c_1001_2^10 + 326996/346519*c_1001_2^9 + 234854/346519*c_1001_2^8 - 1367628/346519*c_1001_2^7 + 1143605/346519*c_1001_2^6 + 218101/346519*c_1001_2^5 - 1312727/346519*c_1001_2^4 + 2032306/346519*c_1001_2^3 - 897109/346519*c_1001_2^2 + 288102/346519*c_1001_2 + 6347/346519, c_1001_2^12 - 7*c_1001_2^11 + 12*c_1001_2^10 + 23*c_1001_2^9 - 87*c_1001_2^8 + 21*c_1001_2^7 + 155*c_1001_2^6 - 123*c_1001_2^5 - 30*c_1001_2^4 + 71*c_1001_2^3 - 91*c_1001_2^2 + 30*c_1001_2 - 6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB