Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 2345277348] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s186 geometric_solution 4.29210628 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 -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 0.600401227518 0.111097906021 2 0 2 0 0132 2310 1023 0132 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 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 0.789185768999 0.186892011914 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 -1 1 0 -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 0.862394329188 0.687864248765 4 2 4 5 3120 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850137971638 0.804305215983 5 3 2 3 1023 1230 0132 3120 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 0.850137971638 0.804305215983 5 4 3 5 3012 1023 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 1.379298888155 0.587237787840 ==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' : 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_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_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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], '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_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 50751347529108296436/4432541314995868411*c_0101_5^16 - 430223520667902749767/4432541314995868411*c_0101_5^15 + 1218824272884805355361/4432541314995868411*c_0101_5^14 - 2950366890248072273432/4432541314995868411*c_0101_5^13 + 5248099602896312049173/4432541314995868411*c_0101_5^12 - 5385716721351753600442/4432541314995868411*c_0101_5^11 - 857765914056609297660/4432541314995868411*c_0101_5^10 + 9530419200587332801069/4432541314995868411*c_0101_5^9 - 11365798378667201826995/4432541314995868411*c_0101_5^8 + 11135052187413177101286/4432541314995868411*c_0101_5^7 - 9057511475924623810585/4432541314995868411*c_0101_5^6 + 3069372325719530604741/4432541314995868411*c_0101_5^5 + 1235701105919657724022/4432541314995868411*c_0101_5^4 - 976110935941300719423/4432541314995868411*c_0101_5^3 + 2464590996035600869958/4432541314995868411*c_0101_5^2 - 755785343845127149284/4432541314995868411*c_0101_5 + 473966902781355125802/4432541314995868411, c_0011_0 - 1, c_0011_1 + 42175647957099862/4432541314995868411*c_0101_5^16 - 507812590545550157/4432541314995868411*c_0101_5^15 + 2361815042780203089/4432541314995868411*c_0101_5^14 - 6508491746786034996/4432541314995868411*c_0101_5^13 + 13302882572843454236/4432541314995868411*c_0101_5^12 - 19933011123054509041/4432541314995868411*c_0101_5^11 + 12762822231361495169/4432541314995868411*c_0101_5^10 + 19988919348042082122/4432541314995868411*c_0101_5^9 - 54149229301860412684/4432541314995868411*c_0101_5^8 + 45584805025179879784/4432541314995868411*c_0101_5^7 - 14200468837821866084/4432541314995868411*c_0101_5^6 + 7625197239465451118/4432541314995868411*c_0101_5^5 + 1099172504242351977/4432541314995868411*c_0101_5^4 - 13695397306885960539/4432541314995868411*c_0101_5^3 + 5082023446508431209/4432541314995868411*c_0101_5^2 - 868431906910643119/4432541314995868411*c_0101_5 + 1712456596004477316/4432541314995868411, c_0011_4 + 37060065754511135/4432541314995868411*c_0101_5^16 - 243653541779162630/4432541314995868411*c_0101_5^15 + 355722486234878341/4432541314995868411*c_0101_5^14 - 929838147902833094/4432541314995868411*c_0101_5^13 + 632742497692039374/4432541314995868411*c_0101_5^12 + 1600491027221683902/4432541314995868411*c_0101_5^11 - 5989135902124265700/4432541314995868411*c_0101_5^10 + 7052089114086804138/4432541314995868411*c_0101_5^9 - 3943575155561768904/4432541314995868411*c_0101_5^8 + 1524273092626311830/4432541314995868411*c_0101_5^7 + 14002520168745888130/4432541314995868411*c_0101_5^6 - 16535564255306090553/4432541314995868411*c_0101_5^5 + 3461684999513287030/4432541314995868411*c_0101_5^4 + 544650575618552308/4432541314995868411*c_0101_5^3 + 2573511998059850994/4432541314995868411*c_0101_5^2 + 3037433525028857245/4432541314995868411*c_0101_5 - 992769014617648764/4432541314995868411, c_0101_0 - 684280512936106958/4432541314995868411*c_0101_5^16 + 5775838406195541058/4432541314995868411*c_0101_5^15 - 16131991524626063134/4432541314995868411*c_0101_5^14 + 38438320366222719447/4432541314995868411*c_0101_5^13 - 67249356543808698834/4432541314995868411*c_0101_5^12 + 64624615828283756496/4432541314995868411*c_0101_5^11 + 23904876569473158070/4432541314995868411*c_0101_5^10 - 139003535864063676734/4432541314995868411*c_0101_5^9 + 150493445955416809825/4432541314995868411*c_0101_5^8 - 131105847068277519326/4432541314995868411*c_0101_5^7 + 92636109715282584805/4432541314995868411*c_0101_5^6 - 6783886475111083058/4432541314995868411*c_0101_5^5 - 35284742953841367558/4432541314995868411*c_0101_5^4 + 17119329522451060262/4432541314995868411*c_0101_5^3 - 36100891170605657559/4432541314995868411*c_0101_5^2 + 5045942412751687642/4432541314995868411*c_0101_5 + 263870270383249464/4432541314995868411, c_0101_1 - 204141073053802469/4432541314995868411*c_0101_5^16 + 1844442256816946152/4432541314995868411*c_0101_5^15 - 5889874407602877768/4432541314995868411*c_0101_5^14 + 14657037002895637394/4432541314995868411*c_0101_5^13 - 27124671963076023002/4432541314995868411*c_0101_5^12 + 31389870737633009755/4432541314995868411*c_0101_5^11 - 3140114440890039644/4432541314995868411*c_0101_5^10 - 51278504591116364133/4432541314995868411*c_0101_5^9 + 79996304008609149201/4432541314995868411*c_0101_5^8 - 67260383504358405065/4432541314995868411*c_0101_5^7 + 31859818953469714136/4432541314995868411*c_0101_5^6 - 2154892300766127116/4432541314995868411*c_0101_5^5 - 11379769482116025180/4432541314995868411*c_0101_5^4 + 10962121552543536024/4432541314995868411*c_0101_5^3 - 10954479715919615750/4432541314995868411*c_0101_5^2 + 371858686530957797/4432541314995868411*c_0101_5 + 1679824015965255050/4432541314995868411, c_0101_5^17 - 8*c_0101_5^16 + 20*c_0101_5^15 - 47*c_0101_5^14 + 77*c_0101_5^13 - 60*c_0101_5^12 - 61*c_0101_5^11 + 171*c_0101_5^10 - 131*c_0101_5^9 + 124*c_0101_5^8 - 94*c_0101_5^7 - 10*c_0101_5^6 + 41*c_0101_5^5 + 42*c_0101_5^3 + 4*c_0101_5^2 + 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB