Magma V2.19-8 Tue Aug 20 2013 16:15:55 on localhost [Seed = 88381758] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0151 geometric_solution 3.64409873 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1230 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 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006941243986 1.981566745528 0 2 2 3 0132 2310 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998232275543 0.504644989653 0 0 1 1 3012 0132 3120 3201 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 0 -1 0 0 1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202138153990 0.403349994674 4 1 4 0 0132 1302 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490255929504 0.372565220957 3 5 3 5 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798926240318 0.073287429264 4 4 6 6 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524055656987 0.051886054662 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.964155888340 0.063891336514 ==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_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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_6']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_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_6, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 732/5*c_0101_6^11 + 92*c_0101_6^10 - 10831/5*c_0101_6^9 - 4391/5*c_0101_6^8 - 54977/10*c_0101_6^7 - 10436/5*c_0101_6^6 - 24142/5*c_0101_6^5 - 19249/10*c_0101_6^4 - 17391/10*c_0101_6^3 - 3553/5*c_0101_6^2 - 2153/10*c_0101_6 - 434/5, c_0011_0 - 1, c_0011_3 - 7*c_0101_3*c_0101_6^11 - 13*c_0101_3*c_0101_6^10 - 177/2*c_0101_3*c_0101_6^9 - 304*c_0101_3*c_0101_6^8 - 605/2*c_0101_3*c_0101_6^7 - 760*c_0101_3*c_0101_6^6 - 302*c_0101_3*c_0101_6^5 - 684*c_0101_3*c_0101_6^4 - 134*c_0101_3*c_0101_6^3 - 517/2*c_0101_3*c_0101_6^2 - 20*c_0101_3*c_0101_6 - 34*c_0101_3, c_0011_6 + 2*c_0101_3*c_0101_6^11 + 20*c_0101_3*c_0101_6^10 + 8*c_0101_3*c_0101_6^9 + 334*c_0101_3*c_0101_6^8 + 157/2*c_0101_3*c_0101_6^7 + 813*c_0101_3*c_0101_6^6 + 60*c_0101_3*c_0101_6^5 + 1415/2*c_0101_3*c_0101_6^4 + 59/2*c_0101_3*c_0101_6^3 + 253*c_0101_3*c_0101_6^2 + 11/2*c_0101_3*c_0101_6 + 32*c_0101_3, c_0101_0 + 48*c_0101_6^11 - 55*c_0101_6^10 + 737*c_0101_6^9 - 187/2*c_0101_6^8 + 1826*c_0101_6^7 - 286*c_0101_6^6 + 1650*c_0101_6^5 - 275*c_0101_6^4 + 1243/2*c_0101_6^3 - 231/2*c_0101_6^2 + 165/2*c_0101_6 - 33/2, c_0101_2 + 26*c_0101_3*c_0101_6^11 - 27*c_0101_3*c_0101_6^10 + 392*c_0101_3*c_0101_6^9 - 7/2*c_0101_3*c_0101_6^8 + 924*c_0101_3*c_0101_6^7 - 95/2*c_0101_3*c_0101_6^6 + 1497/2*c_0101_3*c_0101_6^5 - 87/2*c_0101_3*c_0101_6^4 + 469/2*c_0101_3*c_0101_6^3 - 24*c_0101_3*c_0101_6^2 + 24*c_0101_3*c_0101_6 - 9/2*c_0101_3, c_0101_3^2 - c_0101_6^11 + 22*c_0101_6^10 - 73/2*c_0101_6^9 + 641/2*c_0101_6^8 - 75/2*c_0101_6^7 + 816*c_0101_6^6 - 93/2*c_0101_6^5 + 1517/2*c_0101_6^4 - 23*c_0101_6^3 + 297*c_0101_6^2 - 5*c_0101_6 + 42, c_0101_6^12 - c_0101_6^11 + 31/2*c_0101_6^10 + 85/2*c_0101_6^8 + 91/2*c_0101_6^6 + 23*c_0101_6^4 + 11/2*c_0101_6^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB