Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3137021539] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1824 geometric_solution 5.48312880 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391546627214 0.593293013941 0 2 3 4 0132 2031 3012 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 0 0 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 0.410335727556 0.687125121814 1 0 4 3 1302 0132 3201 3012 0 0 0 0 0 1 0 -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 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 0.410335727556 0.687125121814 0 1 2 0 3201 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 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 0.177866090637 1.033162173299 2 5 1 5 2310 0132 0132 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 0.620354360897 2.199586861587 4 4 6 6 3201 0132 3201 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 0.168085224142 0.167562426281 5 6 5 6 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.836518928879 3.068193178242 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], '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_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 27/8*c_0101_6, c_0011_0 - 1, c_0011_3 - 1, c_0011_4 - 1/2*c_0101_6, c_0011_6 - 1/2*c_0101_6, c_0101_0 + 1/2*c_0101_6, c_0101_1 - c_0101_6, c_0101_6^2 - 4/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 13969590603847005089/29261096097011219160*c_0101_6^23 + 192276004018705997509/29261096097011219160*c_0101_6^21 - 349041953037815145491/8778328829103365748*c_0101_6^19 + 11338920536301476765377/87783288291033657480*c_0101_6^17 - 3030135431700614101408/10972911036379207185*c_0101_6^15 + 4407322415926474512029/8778328829103365748*c_0101_6^13 - 8814813501377819470238/10972911036379207185*c_0101_6^11 + 26599368702023954565683/29261096097011219160*c_0101_6^9 - 4587222225226789920617/7315274024252804790*c_0101_6^7 + 2877424769358739918199/10972911036379207185*c_0101_6^5 - 1805262416128076799547/29261096097011219160*c_0101_6^3 + 66461838434433632087/87783288291033657480*c_0101_6, c_0011_0 - 1, c_0011_3 + 28376082966678/2802786982472339*c_0101_6^22 - 1995293783123487/11211147929889356*c_0101_6^20 + 7121762130280693/5605573964944678*c_0101_6^18 - 26553072063630723/5605573964944678*c_0101_6^16 + 114417188809075217/11211147929889356*c_0101_6^14 - 202567802337019915/11211147929889356*c_0101_6^12 + 351982475752236513/11211147929889356*c_0101_6^10 - 408769328122831851/11211147929889356*c_0101_6^8 + 65804253805565455/2802786982472339*c_0101_6^6 - 71567537783689665/5605573964944678*c_0101_6^4 + 15749366353548008/2802786982472339*c_0101_6^2 - 8328672915245331/11211147929889356, c_0011_4 - 4196624496389/62632111340164*c_0101_6^23 + 58972283010151/62632111340164*c_0101_6^21 - 274054156455686/46974083505123*c_0101_6^19 + 3679646682685459/187896334020492*c_0101_6^17 - 2026992101025761/46974083505123*c_0101_6^15 + 3729157613449250/46974083505123*c_0101_6^13 - 6062964017217019/46974083505123*c_0101_6^11 + 9596541253073925/62632111340164*c_0101_6^9 - 3597157990960289/31316055670082*c_0101_6^7 + 5128155483620837/93948167010246*c_0101_6^5 - 1145342899624301/62632111340164*c_0101_6^3 + 604514227291691/187896334020492*c_0101_6, c_0011_6 + 3997792353101/62632111340164*c_0101_6^23 - 28083962543351/31316055670082*c_0101_6^21 + 521920646611753/93948167010246*c_0101_6^19 - 3502470133325401/187896334020492*c_0101_6^17 + 7713015134955443/187896334020492*c_0101_6^15 - 14179341302639849/187896334020492*c_0101_6^13 + 23028979312048327/187896334020492*c_0101_6^11 - 2273707092223764/15658027835041*c_0101_6^9 + 3395120127803371/31316055670082*c_0101_6^7 - 2397899987760301/46974083505123*c_0101_6^5 + 985148678175781/62632111340164*c_0101_6^3 - 113149506112277/46974083505123*c_0101_6, c_0101_0 + 2208082278547/31316055670082*c_0101_6^23 - 31034621714741/31316055670082*c_0101_6^21 + 288544092031124/46974083505123*c_0101_6^19 - 1938488955547619/93948167010246*c_0101_6^17 + 2138659398587693/46974083505123*c_0101_6^15 - 3942027082700003/46974083505123*c_0101_6^13 + 6420921184032490/46974083505123*c_0101_6^11 - 5094783451087303/31316055670082*c_0101_6^9 + 1920261164047672/15658027835041*c_0101_6^7 - 2821918457420920/46974083505123*c_0101_6^5 + 614130268714757/31316055670082*c_0101_6^3 - 95475969391603/93948167010246*c_0101_6, c_0101_1 - 127877714087242/2802786982472339*c_0101_6^23 + 8697912763162805/11211147929889356*c_0101_6^21 - 95704474550262563/16816721894834034*c_0101_6^19 + 384460570120738087/16816721894834034*c_0101_6^17 - 1905877173698500393/33633443789668068*c_0101_6^15 + 3583126481564771275/33633443789668068*c_0101_6^13 - 6092457108917656661/33633443789668068*c_0101_6^11 + 2735128698467634453/11211147929889356*c_0101_6^9 - 579545140580335547/2802786982472339*c_0101_6^7 + 1682791081482827281/16816721894834034*c_0101_6^5 - 79088749066960199/2802786982472339*c_0101_6^3 + 79395139262022667/33633443789668068*c_0101_6, c_0101_6^24 - 14*c_0101_6^22 + 259/3*c_0101_6^20 - 863/3*c_0101_6^18 + 1885/3*c_0101_6^16 - 3448/3*c_0101_6^14 + 5576/3*c_0101_6^12 - 2173*c_0101_6^10 + 1573*c_0101_6^8 - 2096/3*c_0101_6^6 + 191*c_0101_6^4 - 40/3*c_0101_6^2 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB