Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 223121867] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0298 geometric_solution 4.34049697 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716836524815 0.049400387309 0 2 0 2 0132 0132 1023 1023 0 0 0 0 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 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 0.469857405187 0.170013284083 3 1 3 1 0132 0132 2310 1023 0 0 0 0 0 0 0 0 1 0 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 -1 1 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 -0.794524370392 3.928558017452 2 2 5 4 0132 3201 0132 0132 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 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 -0.160911409741 0.455303576888 6 5 3 5 0132 3012 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879986067767 0.833852427596 4 6 4 3 1230 2310 2031 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 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 0.879986067767 0.833852427596 4 6 6 5 0132 1230 3012 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 1.401241859365 0.567367992971 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_4'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_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: 22 Groebner basis: [ t - 716100624/710993*c_0101_6^10 - 2334409226/710993*c_0101_6^9 + 7986544022/710993*c_0101_6^8 + 49338936602/710993*c_0101_6^7 + 52925950954/710993*c_0101_6^6 - 32799971826/710993*c_0101_6^5 - 67286698519/710993*c_0101_6^4 - 3206650295/710993*c_0101_6^3 + 23539071124/710993*c_0101_6^2 + 3292804735/710993*c_0101_6 - 2726540704/710993, c_0011_0 - 1, c_0011_4 - 626511/710993*c_0101_2*c_0101_6^10 - 2015422/710993*c_0101_2*c_0101_6^9 + 6928756/710993*c_0101_2*c_0101_6^8 + 42462503/710993*c_0101_2*c_0101_6^7 + 46238168/710993*c_0101_2*c_0101_6^6 - 21617447/710993*c_0101_2*c_0101_6^5 - 50788427/710993*c_0101_2*c_0101_6^4 - 7741739/710993*c_0101_2*c_0101_6^3 + 12177785/710993*c_0101_2*c_0101_6^2 + 3346464/710993*c_0101_2*c_0101_6 - 589478/710993*c_0101_2, c_0101_0 - 2120059/710993*c_0101_2*c_0101_6^10 - 7295499/710993*c_0101_2*c_0101_6^9 + 22626057/710993*c_0101_2*c_0101_6^8 + 150948646/710993*c_0101_2*c_0101_6^7 + 180121110/710993*c_0101_2*c_0101_6^6 - 82589234/710993*c_0101_2*c_0101_6^5 - 223830880/710993*c_0101_2*c_0101_6^4 - 29764949/710993*c_0101_2*c_0101_6^3 + 77350217/710993*c_0101_2*c_0101_6^2 + 15279837/710993*c_0101_2*c_0101_6 - 7930093/710993*c_0101_2, c_0101_1 - 3317241/710993*c_0101_2*c_0101_6^10 - 10525883/710993*c_0101_2*c_0101_6^9 + 37333584/710993*c_0101_2*c_0101_6^8 + 223675142/710993*c_0101_2*c_0101_6^7 + 232709186/710993*c_0101_2*c_0101_6^6 - 135837295/710993*c_0101_2*c_0101_6^5 - 270641443/710993*c_0101_2*c_0101_6^4 - 18807461/710993*c_0101_2*c_0101_6^3 + 80748817/710993*c_0101_2*c_0101_6^2 + 13584397/710993*c_0101_2*c_0101_6 - 8354802/710993*c_0101_2, c_0101_2^2 - 885551/1152299*c_0101_6^10 - 3150582/1152299*c_0101_6^9 + 9233113/1152299*c_0101_6^8 + 64448668/1152299*c_0101_6^7 + 80736020/1152299*c_0101_6^6 - 33113910/1152299*c_0101_6^5 - 99644239/1152299*c_0101_6^4 - 15258037/1152299*c_0101_6^3 + 34305363/1152299*c_0101_6^2 + 7005587/1152299*c_0101_6 - 4560130/1152299, c_0101_5 + 1580/24517*c_0101_6^10 - 2465/24517*c_0101_6^9 - 36969/24517*c_0101_6^8 - 11808/24517*c_0101_6^7 + 334052/24517*c_0101_6^6 + 334984/24517*c_0101_6^5 - 290710/24517*c_0101_6^4 - 357099/24517*c_0101_6^3 + 70858/24517*c_0101_6^2 + 85867/24517*c_0101_6 - 16918/24517, c_0101_6^11 + 3*c_0101_6^10 - 12*c_0101_6^9 - 66*c_0101_6^8 - 56*c_0101_6^7 + 65*c_0101_6^6 + 82*c_0101_6^5 - 20*c_0101_6^4 - 34*c_0101_6^3 + 4*c_0101_6^2 + 5*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB