Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 189437900] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2204 geometric_solution 5.65624418 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 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 -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 0.122561166877 0.744861766620 0 1 1 0 0132 3201 2310 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 1.662358978622 0.562279512062 3 0 5 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 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 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 0.122561166877 0.744861766620 5 4 2 0 1023 1023 3201 0132 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 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 0.122561166877 0.744861766620 3 4 2 4 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662358978622 0.562279512062 6 3 6 2 0132 1023 1023 0132 0 0 0 0 0 0 0 0 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 0 -1 1 1 0 -1 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 1.662358978622 0.562279512062 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 1 -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 1 -1 -1 0 1 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 0.662358978622 0.562279512062 ==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' : negation(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' : negation(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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], '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_3'], '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' : d['c_0101_2'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 385*c_0101_5*c_0110_4^2 + 134*c_0101_5*c_0110_4 - 1108*c_0101_5 + 2147/3*c_0110_4^2 + 748/3*c_0110_4 - 6178/3, c_0011_0 - 1, c_0011_3 + c_0101_5*c_0110_4^2 + c_0101_5*c_0110_4 - c_0101_5 + c_0110_4^2 + 2*c_0110_4 - 1, c_0101_0 - c_0110_4^2 + 1, c_0101_1 - c_0110_4 + 1, c_0101_2 + c_0101_5 + c_0110_4, c_0101_5^2 - c_0101_5*c_0110_4^2 + 3*c_0101_5*c_0110_4 + c_0101_5 + c_0110_4^2, c_0110_4^3 - 3*c_0110_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 385*c_0101_5*c_0110_4^2 - 134*c_0101_5*c_0110_4 - 1108*c_0101_5 - 2147/3*c_0110_4^2 + 748/3*c_0110_4 + 6178/3, c_0011_0 - 1, c_0011_3 - c_0101_5*c_0110_4^2 + c_0101_5*c_0110_4 + c_0101_5 + c_0110_4^2 - 2*c_0110_4 - 1, c_0101_0 + c_0110_4^2 - 1, c_0101_1 - c_0110_4 - 1, c_0101_2 + c_0101_5 + c_0110_4, c_0101_5^2 + c_0101_5*c_0110_4^2 + 3*c_0101_5*c_0110_4 - c_0101_5 + c_0110_4^2, c_0110_4^3 - 3*c_0110_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 31467799/2284520*c_0110_4^15 + 10120111/55720*c_0110_4^13 + 6160827891/4569040*c_0110_4^11 + 977231424/285565*c_0110_4^9 + 4614174291/1142260*c_0110_4^7 + 6325487873/2284520*c_0110_4^5 + 782913233/652720*c_0110_4^3 + 52951586/285565*c_0110_4, c_0011_0 - 1, c_0011_3 - 34963/456904*c_0110_4^14 - 4369/5572*c_0110_4^12 - 4400629/913808*c_0110_4^10 - 411555/913808*c_0110_4^8 + 539886/57113*c_0110_4^6 + 4194089/456904*c_0110_4^4 + 786329/130544*c_0110_4^2 + 436225/913808, c_0101_0 - 69233/114226*c_0110_4^15 - 44157/5572*c_0110_4^13 - 3332085/57113*c_0110_4^11 - 65253155/456904*c_0110_4^9 - 8742205/57113*c_0110_4^7 - 21007509/228452*c_0110_4^5 - 579133/16318*c_0110_4^3 - 161137/456904*c_0110_4, c_0101_1 - 128337/228452*c_0110_4^15 - 79025/11144*c_0110_4^13 - 2919239/57113*c_0110_4^11 - 102449771/913808*c_0110_4^9 - 25275759/228452*c_0110_4^7 - 3722309/57113*c_0110_4^5 - 181870/8159*c_0110_4^3 + 10681/913808*c_0110_4, c_0101_2 - 65925/456904*c_0110_4^15 - 21701/11144*c_0110_4^13 - 13401753/913808*c_0110_4^11 - 2265201/57113*c_0110_4^9 - 11312993/228452*c_0110_4^7 - 16457369/456904*c_0110_4^5 - 2039507/130544*c_0110_4^3 - 545091/228452*c_0110_4, c_0101_5 - c_0110_4, c_0110_4^16 + 13*c_0110_4^14 + 191/2*c_0110_4^12 + 231*c_0110_4^10 + 505/2*c_0110_4^8 + 159*c_0110_4^6 + 125/2*c_0110_4^4 + 5*c_0110_4^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB