Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 2429619282] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0511 geometric_solution 4.51742167 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2310 0132 3201 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 0.515884998193 0.032095634221 2 0 2 0 0132 0132 2310 1023 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 -0.783164419991 0.343806884531 1 1 3 3 0132 3201 0132 2310 0 0 0 0 0 0 -1 1 -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 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 3.903196108902 3.308109432358 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 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 -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 0.058567249681 0.510254333506 5 3 6 5 2310 0132 0132 2031 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 0 0 0.202307273268 0.836653464661 6 4 4 3 2310 1302 3201 0132 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 -1 0 0 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 0.202307273268 0.836653464661 6 6 5 4 1302 2031 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 1 0 -1 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 0.596940141650 0.626095764659 ==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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_4' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_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_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_2']})} 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_5, c_0011_6, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t - 10459166774637255067230184/435796097906269870928459*c_0101_4^16 + 49841383360536892978208095/871592195812539741856918*c_0101_4^15 + 430065519714673501894856175/435796097906269870928459*c_0101_4^14 + 357370135111756029340632649/435796097906269870928459*c_0101_4^13 - 2398209181353176880870676149/435796097906269870928459*c_0101_4^12 - 6488970215892394959569688787/871592195812539741856918*c_0101_4^11 + 5897501172293650102610321907/435796097906269870928459*c_0101_4^10 + 7402937893794531761549815125/435796097906269870928459*c_0101_4^9 - 5219590550603028712400061266/435796097906269870928459*c_0101_4^8 - 36407788525297546648366649759/871592195812539741856918*c_0101_4^7 + 24338392894790392624833035349/435796097906269870928459*c_0101_4^6 - 790704716125332431763840869/62256585415181410132637*c_0101_4^5 - 1056749318792610087081615288/62256585415181410132637*c_0101_4^4 + 668355132977326975896379530/62256585415181410132637*c_0101_4^3 - 573757327371356442737329381/871592195812539741856918*c_0101_4^2 - 905600705928239232562061325/871592195812539741856918*c_0101_4 + 95974950516690834566611370/435796097906269870928459, c_0011_0 - 1, c_0011_3 + 4899916586742923531464/62256585415181410132637*c_0101_4^16 - 6448444227993594929370/62256585415181410132637*c_0101_4^15 - 211132923344240929455980/62256585415181410132637*c_0101_4^14 - 387327695757167256280182/62256585415181410132637*c_0101_4^13 + 827025633210678262035773/62256585415181410132637*c_0101_4^12 + 2552933745468310355397964/62256585415181410132637*c_0101_4^11 - 601930875769921858376724/62256585415181410132637*c_0101_4^10 - 5243865691114040876222978/62256585415181410132637*c_0101_4^9 - 2149081872587583459257654/62256585415181410132637*c_0101_4^8 + 8682379190118510796094758/62256585415181410132637*c_0101_4^7 - 2261397659030129945472454/62256585415181410132637*c_0101_4^6 - 4709272115235120812587823/62256585415181410132637*c_0101_4^5 + 2433397608231523682217570/62256585415181410132637*c_0101_4^4 + 700242303889366956385155/62256585415181410132637*c_0101_4^3 - 495793287998739726522556/62256585415181410132637*c_0101_4^2 + 8167547905095530323864/62256585415181410132637*c_0101_4 + 59021121741628035587798/62256585415181410132637, c_0011_5 - 37487257702365577722331/435796097906269870928459*c_0101_2*c_\ 0101_4^16 + 42661311876880682384782/435796097906269870928459*c_0101\ _2*c_0101_4^15 + 1629229127740054657739238/435796097906269870928459\ *c_0101_2*c_0101_4^14 + 3242333391558412601699247/43579609790626987\ 0928459*c_0101_2*c_0101_4^13 - 6017240586012680811547623/4357960979\ 06269870928459*c_0101_2*c_0101_4^12 - 20994365886823180935752729/435796097906269870928459*c_0101_2*c_0101\ _4^11 + 2031513996995454957847742/435796097906269870928459*c_0101_2\ *c_0101_4^10 + 43119510541051646223048806/435796097906269870928459*\ c_0101_2*c_0101_4^9 + 22313173970875188509963465/435796097906269870\ 928459*c_0101_2*c_0101_4^8 - 67733600550982820435922212/43579609790\ 6269870928459*c_0101_2*c_0101_4^7 + 5148109530386241864108186/435796097906269870928459*c_0101_2*c_0101_\ 4^6 + 6765830719545367365526400/62256585415181410132637*c_0101_2*c_\ 0101_4^5 - 2678139381155378526828484/62256585415181410132637*c_0101\ _2*c_0101_4^4 - 1412229840048427372523102/62256585415181410132637*c\ _0101_2*c_0101_4^3 + 5556142182794669161509452/43579609790626987092\ 8459*c_0101_2*c_0101_4^2 + 61627374615783477262388/4357960979062698\ 70928459*c_0101_2*c_0101_4 - 456570988809661639491073/4357960979062\ 69870928459*c_0101_2, c_0011_6 + 67865769029918808187430/435796097906269870928459*c_0101_2*c_\ 0101_4^16 - 149436038059547115995004/435796097906269870928459*c_010\ 1_2*c_0101_4^15 - 2824136111168521136263487/43579609790626987092845\ 9*c_0101_2*c_0101_4^14 - 2826112656434165344775828/4357960979062698\ 70928459*c_0101_2*c_0101_4^13 + 15340518537288233848194015/43579609\ 7906269870928459*c_0101_2*c_0101_4^12 + 24583231965586035210222611/435796097906269870928459*c_0101_2*c_0101\ _4^11 - 34452484532587906603100204/435796097906269870928459*c_0101_\ 2*c_0101_4^10 - 58463822841859280704633102/435796097906269870928459\ *c_0101_2*c_0101_4^9 + 21191804658936136182659903/43579609790626987\ 0928459*c_0101_2*c_0101_4^8 + 128750007880184619368357504/435796097\ 906269870928459*c_0101_2*c_0101_4^7 - 126778658550017266863827426/435796097906269870928459*c_0101_2*c_010\ 1_4^6 + 738425474329010562661286/62256585415181410132637*c_0101_2*c\ _0101_4^5 + 6394858660132063694760584/62256585415181410132637*c_010\ 1_2*c_0101_4^4 - 2007427734987698136574178/62256585415181410132637*\ c_0101_2*c_0101_4^3 - 1247210333276127790047242/4357960979062698709\ 28459*c_0101_2*c_0101_4^2 + 1078117374812791301500970/4357960979062\ 69870928459*c_0101_2*c_0101_4 - 208774075627107370248373/4357960979\ 06269870928459*c_0101_2, c_0101_0 - 228096165946576033799562/435796097906269870928459*c_0101_2*c\ _0101_4^16 + 432474438707720022771246/435796097906269870928459*c_01\ 01_2*c_0101_4^15 + 9606200680034263102958952/4357960979062698709284\ 59*c_0101_2*c_0101_4^14 + 12449161348152288279215687/43579609790626\ 9870928459*c_0101_2*c_0101_4^13 - 46966727722018075478986621/435796\ 097906269870928459*c_0101_2*c_0101_4^12 - 95060677507966167453902793/435796097906269870928459*c_0101_2*c_0101\ _4^11 + 84900531841761585362048810/435796097906269870928459*c_0101_\ 2*c_0101_4^10 + 211915773613344521544453328/43579609790626987092845\ 9*c_0101_2*c_0101_4^9 - 10926276385680253324435021/4357960979062698\ 70928459*c_0101_2*c_0101_4^8 - 420059951789581557209742615/43579609\ 7906269870928459*c_0101_2*c_0101_4^7 + 315006016056979845435270305/435796097906269870928459*c_0101_2*c_010\ 1_4^6 + 8501051031700930955446314/62256585415181410132637*c_0101_2*\ c_0101_4^5 - 19194896095358098820907190/62256585415181410132637*c_0\ 101_2*c_0101_4^4 + 3265342008316930019281951/6225658541518141013263\ 7*c_0101_2*c_0101_4^3 + 7507425822645197484390147/43579609790626987\ 0928459*c_0101_2*c_0101_4^2 - 2592138647070529309267588/43579609790\ 6269870928459*c_0101_2*c_0101_4 + 598397628770122741147659/43579609\ 7906269870928459*c_0101_2, c_0101_2^2 - 3780123771459289095007/62256585415181410132637*c_0101_4^16 + 11405797316043854728957/124513170830362820265274*c_0101_4^15 + 161956758449549937991999/62256585415181410132637*c_0101_4^14 + 267590397933258703437982/62256585415181410132637*c_0101_4^13 - 697231801537284460296015/62256585415181410132637*c_0101_4^12 - 3715437961926461451900825/124513170830362820265274*c_0101_4^11 + 832400561690150058501851/62256585415181410132637*c_0101_4^10 + 4001935765839824610146934/62256585415181410132637*c_0101_4^9 + 975544451689251550406629/62256585415181410132637*c_0101_4^8 - 14128872076898526709091307/124513170830362820265274*c_0101_4^7 + 2821653877462817928603523/62256585415181410132637*c_0101_4^6 + 3252048838813550585432838/62256585415181410132637*c_0101_4^5 - 2261381663052534946453559/62256585415181410132637*c_0101_4^4 - 269733951516218443892718/62256585415181410132637*c_0101_4^3 + 677985693022106103108461/124513170830362820265274*c_0101_4^2 - 40779335318679867727767/124513170830362820265274*c_0101_4 - 53528475469104292406326/62256585415181410132637, c_0101_4^17 - 2*c_0101_4^16 - 42*c_0101_4^15 - 50*c_0101_4^14 + 215*c_0101_4^13 + 398*c_0101_4^12 - 436*c_0101_4^11 - 918*c_0101_4^10 + 197*c_0101_4^9 + 1910*c_0101_4^8 - 1618*c_0101_4^7 - 290*c_0101_4^6 + 798*c_0101_4^5 - 161*c_0101_4^4 - 99*c_0101_4^3 + 36*c_0101_4^2 + 2*c_0101_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB