Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 3280101153] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0535 geometric_solution 4.55376662 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 -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 0 0 1 -1 0 0 -1 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 -0.126775766293 0.733486285635 0 5 3 5 0132 0132 1302 1023 0 0 0 0 0 1 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 0 0 0 0 1 0 -1 0 0 1 -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 0.567628741821 0.417292398517 6 0 3 6 0132 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.763756000608 0.921169161666 1 2 4 0 2031 1230 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 1 -1 0 0 -1 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 0.623345712384 0.405773309048 5 3 0 5 2031 3201 0132 3120 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 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143639597018 0.840746909587 4 1 4 1 3120 0132 1302 1023 0 0 0 0 0 -1 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 0 0 0 0 -1 0 1 -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 0 0 0 0.643525092743 0.187478021444 2 6 6 2 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.760231516678 0.153015518512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_4, c_0101_0, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 101617/2816*c_0110_4^10 + 363983/1408*c_0110_4^9 + 2337849/2816*c_0110_4^8 + 3289389/1408*c_0110_4^7 + 12072177/2816*c_0110_4^6 + 19050853/2816*c_0110_4^5 + 24787751/2816*c_0110_4^4 + 6034543/704*c_0110_4^3 + 222647/32*c_0110_4^2 + 401007/88*c_0110_4 + 241399/176, c_0011_0 - 1, c_0011_3 - 1/256*c_0110_4^10 - 3/128*c_0110_4^9 - 17/256*c_0110_4^8 - 25/128*c_0110_4^7 - 73/256*c_0110_4^6 - 141/256*c_0110_4^5 - 119/256*c_0110_4^4 - 51/64*c_0110_4^3 + 1/16*c_0110_4^2 - 1/4*c_0110_4 - 1/16, c_0011_4 + 23/64*c_0110_4^10 + 163/64*c_0110_4^9 + 515/64*c_0110_4^8 + 1439/64*c_0110_4^7 + 2599/64*c_0110_4^6 + 1019/16*c_0110_4^5 + 1323/16*c_0110_4^4 + 5141/64*c_0110_4^3 + 2097/32*c_0110_4^2 + 699/16*c_0110_4 + 111/8, c_0101_0 - 23/64*c_0110_4^10 - 163/64*c_0110_4^9 - 515/64*c_0110_4^8 - 1439/64*c_0110_4^7 - 2599/64*c_0110_4^6 - 1019/16*c_0110_4^5 - 1323/16*c_0110_4^4 - 5141/64*c_0110_4^3 - 2097/32*c_0110_4^2 - 699/16*c_0110_4 - 111/8, c_0101_2 + 281/256*c_0110_4^10 + 1017/128*c_0110_4^9 + 6601/256*c_0110_4^8 + 9279/128*c_0110_4^7 + 34321/256*c_0110_4^6 + 54049/256*c_0110_4^5 + 70339/256*c_0110_4^4 + 8607/32*c_0110_4^3 + 6955/32*c_0110_4^2 + 2281/16*c_0110_4 + 723/16, c_0101_6 - 25/32*c_0110_4^10 - 23/4*c_0110_4^9 - 607/32*c_0110_4^8 - 107/2*c_0110_4^7 - 3239/32*c_0110_4^6 - 5131/32*c_0110_4^5 - 6827/32*c_0110_4^4 - 1703/8*c_0110_4^3 - 2795/16*c_0110_4^2 - 118*c_0110_4 - 155/4, c_0110_4^11 + 8*c_0110_4^10 + 29*c_0110_4^9 + 84*c_0110_4^8 + 173*c_0110_4^7 + 287*c_0110_4^6 + 401*c_0110_4^5 + 442*c_0110_4^4 + 392*c_0110_4^3 + 288*c_0110_4^2 + 144*c_0110_4 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB