Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 3018993283] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2682 geometric_solution 5.94163653 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 -1 2 0 0 0 0 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 -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 0.890334659975 0.720790647012 0 4 4 2 0132 0132 2103 1302 0 0 0 0 0 -1 1 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643025548487 1.098569489491 3 0 1 5 2310 0132 2031 0132 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786205266338 0.998346362081 0 4 2 0 3201 1302 3201 0132 0 0 0 0 0 0 -1 1 1 0 -1 0 -2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633769872620 0.411669518787 1 1 5 3 2103 0132 1230 2031 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 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 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469383276329 0.266318849781 6 6 2 4 0132 2310 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.315456674753 0.763690170938 5 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 -0.180605367742 0.821749204553 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), '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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(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' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 244611397863/1291322630032*c_1001_4^20 - 3616266546669/1291322630032*c_1001_4^18 + 51707268118823/2582645260064*c_1001_4^16 - 470528830536181/5165290520128*c_1001_4^14 + 1509559233240055/5165290520128*c_1001_4^12 - 3568299898051159/5165290520128*c_1001_4^10 + 392919463693971/322830657508*c_1001_4^8 - 4058959390596589/2582645260064*c_1001_4^6 + 7249960167772807/5165290520128*c_1001_4^4 - 970160930558791/1291322630032*c_1001_4^2 + 13892001781840/80707664377, c_0011_0 - 1, c_0011_5 - 425376102979/41322324161024*c_1001_4^21 + 6292816860531/41322324161024*c_1001_4^19 - 88427096938623/82644648322048*c_1001_4^17 + 780986076330317/165289296644096*c_1001_4^15 - 2402615062525497/165289296644096*c_1001_4^13 + 5365663840961229/165289296644096*c_1001_4^11 - 4364094169586557/82644648322048*c_1001_4^9 + 4983012578011533/82644648322048*c_1001_4^7 - 7062493794913935/165289296644096*c_1001_4^5 + 919202996609271/82644648322048*c_1001_4^3 + 5469922943659/1291322630032*c_1001_4, c_0101_0 - 372182195723/5165290520128*c_1001_4^20 + 5647202103739/5165290520128*c_1001_4^18 - 82779375937511/10330581040256*c_1001_4^16 + 771630111752965/20661162080512*c_1001_4^14 - 2536016234773521/20661162080512*c_1001_4^12 + 6149036272555141/20661162080512*c_1001_4^10 - 5571931961346997/10330581040256*c_1001_4^8 + 7440497844690117/10330581040256*c_1001_4^6 - 13888736438486647/20661162080512*c_1001_4^4 + 3974658477359007/10330581040256*c_1001_4^2 - 15598075924171/161415328754, c_0101_1 - 801562573023/20661162080512*c_1001_4^21 + 12262538304495/20661162080512*c_1001_4^19 - 181105456914315/41322324161024*c_1001_4^17 + 1700391822134577/82644648322048*c_1001_4^15 - 5628554754986157/82644648322048*c_1001_4^13 + 13744277302450129/82644648322048*c_1001_4^11 - 12544889985454033/41322324161024*c_1001_4^9 + 16887536354053905/41322324161024*c_1001_4^7 - 31845635036549211/82644648322048*c_1001_4^5 + 9251648028541811/41322324161024*c_1001_4^3 - 74361166719311/1291322630032*c_1001_4, c_0101_2 - 31175836499/5165290520128*c_1001_4^20 + 531280127107/5165290520128*c_1001_4^18 - 8469147883727/10330581040256*c_1001_4^16 + 84486187833661/20661162080512*c_1001_4^14 - 294016683734377/20661162080512*c_1001_4^12 + 751130983353789/20661162080512*c_1001_4^10 - 717121863591277/10330581040256*c_1001_4^8 + 1013212799519997/10330581040256*c_1001_4^6 - 2022811294095839/20661162080512*c_1001_4^4 + 632272452424519/10330581040256*c_1001_4^2 - 2773074755803/161415328754, c_0101_6 - 926265919019/20661162080512*c_1001_4^21 + 14387658812923/20661162080512*c_1001_4^19 - 214982048449223/41322324161024*c_1001_4^17 + 2038336573469221/82644648322048*c_1001_4^15 - 6804621489923665/82644648322048*c_1001_4^13 + 16748801235865285/82644648322048*c_1001_4^11 - 15413377439819141/41322324161024*c_1001_4^9 + 20940387552133893/41322324161024*c_1001_4^7 - 39936880212932567/82644648322048*c_1001_4^5 + 11780737838239887/41322324161024*c_1001_4^3 - 96545764765735/1291322630032*c_1001_4, c_1001_4^22 - 17*c_1001_4^20 + 277/2*c_1001_4^18 - 2863/4*c_1001_4^16 + 10451/4*c_1001_4^14 - 28335/4*c_1001_4^12 + 29119/2*c_1001_4^10 - 45295/2*c_1001_4^8 + 103877/4*c_1001_4^6 - 41149/2*c_1001_4^4 + 9824*c_1001_4^2 - 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB