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Display properties: number-header: $b_f(s)$+Numbers:+- params:+ singularity: A1+ n: '1'+ number: s^2 + 3/2*s + 1/2+ comment: 'Normal form $f=x^{2}$; $\mu=1$; $\operatorname{lct}(f)=\frac{1}{2}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{2}\right)(s+1)$.'+- params:+ singularity: A1+ n: '2'+ number: s^2 + 2*s + 1+ comment: 'Normal form $f=x^{2}+y^2$; $\mu=1$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)^{2}$.'+- params:+ singularity: A1+ n: '3'+ number: s^2 + 5/2*s + 3/2+ comment: 'Normal form $f=x^{2}+y^2+z^2$; $\mu=1$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{3}{2}\right)$.'+- params:+ singularity: A2+ n: '1'+ number: s^3 + 2*s^2 + 11/9*s + 2/9+ comment: 'Normal form $f=x^{3}$; $\mu=2$; $\operatorname{lct}(f)=\frac{1}{3}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{3}\right)\left(s+\frac{2}{3}\right)(s+1)$.'+- params:+ singularity: A2+ n: '2'+ number: s^3 + 3*s^2 + 107/36*s + 35/36+ comment: 'Normal form $f=x^{3}+y^2$; $\mu=2$; $\operatorname{lct}(f)=\frac{5}{6}$.+ Factored form: $b_f(s)=\left(s+\frac{5}{6}\right)(s+1)\left(s+\frac{7}{6}\right)$.'+- params:+ singularity: A2+ n: '3'+ number: s^3 + 4*s^2 + 47/9*s + 20/9+ comment: 'Normal form $f=x^{3}+y^2+z^2$; $\mu=2$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{4}{3}\right)\left(s+\frac{5}{3}\right)$.'+- params:+ singularity: A3+ n: '1'+ number: s^4 + 5/2*s^3 + 35/16*s^2 + 25/32*s + 3/32+ comment: 'Normal form $f=x^{4}$; $\mu=3$; $\operatorname{lct}(f)=\frac{1}{4}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{4}\right)\left(s+\frac{1}{2}\right)\left(s+\frac{3}{4}\right)(s+1)$.'+- params:+ singularity: A3+ n: '2'+ number: s^4 + 4*s^3 + 95/16*s^2 + 31/8*s + 15/16+ comment: 'Normal form $f=x^{4}+y^2$; $\mu=3$; $\operatorname{lct}(f)=\frac{3}{4}$.+ Factored form: $b_f(s)=\left(s+\frac{3}{4}\right)(s+1)^{2}\left(s+\frac{5}{4}\right)$.'+- params:+ singularity: A3+ n: '3'+ number: s^4 + 11/2*s^3 + 179/16*s^2 + 319/32*s + 105/32+ comment: 'Normal form $f=x^{4}+y^2+z^2$; $\mu=3$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{5}{4}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{7}{4}\right)$.'+- params:+ singularity: A4+ n: '1'+ number: s^5 + 3*s^4 + 17/5*s^3 + 9/5*s^2 + 274/625*s + 24/625+ comment: 'Normal form $f=x^{5}$; $\mu=4$; $\operatorname{lct}(f)=\frac{1}{5}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{5}\right)\left(s+\frac{2}{5}\right)\left(s+\frac{3}{5}\right)\left(s+\frac{4}{5}\right)(s+1)$.'+- params:+ singularity: A4+ n: '2'+ number: s^5 + 5*s^4 + 99/10*s^3 + 97/10*s^2 + 47009/10000*s + 9009/10000+ comment: 'Normal form $f=x^{5}+y^2$; $\mu=4$; $\operatorname{lct}(f)=\frac{7}{10}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{10}\right)\left(s+\frac{9}{10}\right)(s+1)\left(s+\frac{11}{10}\right)\left(s+\frac{13}{10}\right)$.'+- params:+ singularity: A4+ n: '3'+ number: s^5 + 7*s^4 + 97/5*s^3 + 133/5*s^2 + 11274/625*s + 3024/625+ comment: 'Normal form $f=x^{5}+y^2+z^2$; $\mu=4$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{6}{5}\right)\left(s+\frac{7}{5}\right)\left(s+\frac{8}{5}\right)\left(s+\frac{9}{5}\right)$.'+- params:+ singularity: A5+ n: '1'+ number: s^6 + 7/2*s^5 + 175/36*s^4 + 245/72*s^3 + 203/162*s^2 + 49/216*s + 5/324+ comment: 'Normal form $f=x^{6}$; $\mu=5$; $\operatorname{lct}(f)=\frac{1}{6}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{6}\right)\left(s+\frac{1}{3}\right)\left(s+\frac{1}{2}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{5}{6}\right)(s+1)$.'+- params:+ singularity: A5+ n: '2'+ number: s^6 + 6*s^5 + 535/36*s^4 + 175/9*s^3 + 4591/324*s^2 + 883/162*s + 70/81+ comment: 'Normal form $f=x^{6}+y^2$; $\mu=5$; $\operatorname{lct}(f)=\frac{2}{3}$.+ Factored form: $b_f(s)=\left(s+\frac{2}{3}\right)\left(s+\frac{5}{6}\right)(s+1)^{2}\left(s+\frac{7}{6}\right)\left(s+\frac{4}{3}\right)$.'+- params:+ singularity: A5+ n: '3'+ number: s^6 + 17/2*s^5 + 1075/36*s^4 + 3995/72*s^3 + 18631/324*s^2 + 20417/648*s+ + 385/54+ comment: 'Normal form $f=x^{6}+y^2+z^2$; $\mu=5$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{7}{6}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{11}{6}\right)$.'+- params:+ singularity: A6+ n: '1'+ number: s^7 + 4*s^6 + 46/7*s^5 + 40/7*s^4 + 967/343*s^3 + 268/343*s^2 + 13068/117649*s+ + 720/117649+ comment: 'Normal form $f=x^{7}$; $\mu=6$; $\operatorname{lct}(f)=\frac{1}{7}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{7}\right)\left(s+\frac{2}{7}\right)\left(s+\frac{3}{7}\right)\left(s+\frac{4}{7}\right)\left(s+\frac{5}{7}\right)\left(s+\frac{6}{7}\right)(s+1)$.'+- params:+ singularity: A6+ n: '2'+ number: s^7 + 7*s^6 + 583/28*s^5 + 955/28*s^4 + 182317/5488*s^3 + 105559/5488*s^2+ + 46136019/7529536*s + 6235515/7529536+ comment: 'Normal form $f=x^{7}+y^2$; $\mu=6$; $\operatorname{lct}(f)=\frac{9}{14}$.+ Factored form: $b_f(s)=\left(s+\frac{9}{14}\right)\left(s+\frac{11}{14}\right)\left(s+\frac{13}{14}\right)(s+1)\left(s+\frac{15}{14}\right)\left(s+\frac{17}{14}\right)\left(s+\frac{19}{14}\right)$.'+- params:+ singularity: A6+ n: '3'+ number: s^7 + 10*s^6 + 298/7*s^5 + 100*s^4 + 48007/343*s^3 + 40030/343*s^2 + 6314664/117649*s+ + 1235520/117649+ comment: 'Normal form $f=x^{7}+y^2+z^2$; $\mu=6$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{8}{7}\right)\left(s+\frac{9}{7}\right)\left(s+\frac{10}{7}\right)\left(s+\frac{11}{7}\right)\left(s+\frac{12}{7}\right)\left(s+\frac{13}{7}\right)$.'+- params:+ singularity: A7+ n: '1'+ number: s^8 + 9/2*s^7 + 273/32*s^6 + 567/64*s^5 + 22449/4096*s^4 + 16821/8192*s^3+ + 29531/65536*s^2 + 6849/131072*s + 315/131072+ comment: 'Normal form $f=x^{8}$; $\mu=7$; $\operatorname{lct}(f)=\frac{1}{8}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{8}\right)\left(s+\frac{1}{4}\right)\left(s+\frac{3}{8}\right)\left(s+\frac{1}{2}\right)\left(s+\frac{5}{8}\right)\left(s+\frac{3}{4}\right)\left(s+\frac{7}{8}\right)(s+1)$.'+- params:+ singularity: A7+ n: '2'+ number: s^8 + 8*s^7 + 889/32*s^6 + 875/16*s^5 + 273329/4096*s^4 + 52913/1024*s^3+ + 1624663/65536*s^2 + 220695/32768*s + 51975/65536+ comment: 'Normal form $f=x^{8}+y^2$; $\mu=7$; $\operatorname{lct}(f)=\frac{5}{8}$.+ Factored form: $b_f(s)=\left(s+\frac{5}{8}\right)\left(s+\frac{3}{4}\right)\left(s+\frac{7}{8}\right)(s+1)^{2}\left(s+\frac{9}{8}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{11}{8}\right)$.'+- params:+ singularity: A7+ n: '3'+ number: s^8 + 23/2*s^7 + 1841/32*s^6 + 10465/64*s^5 + 1182769/4096*s^4 + 2657627/8192*s^3+ + 14838507/65536*s^2 + 11762775/131072*s + 2027025/131072+ comment: 'Normal form $f=x^{8}+y^2+z^2$; $\mu=7$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{9}{8}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{11}{8}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{13}{8}\right)\left(s+\frac{7}{4}\right)\left(s+\frac{15}{8}\right)$.'+- params:+ singularity: A8+ n: '1'+ number: s^9 + 5*s^8 + 290/27*s^7 + 350/27*s^6 + 21091/2187*s^5 + 3325/729*s^4 ++ 723680/531441*s^3 + 130300/531441*s^2 + 114064/4782969*s + 4480/4782969+ comment: 'Normal form $f=x^{9}$; $\mu=8$; $\operatorname{lct}(f)=\frac{1}{9}$. Factored+ form: $b_f(s)=\left(s+\frac{1}{9}\right)\left(s+\frac{2}{9}\right)\left(s+\frac{1}{3}\right)\left(s+\frac{4}{9}\right)\left(s+\frac{5}{9}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{7}{9}\right)\left(s+\frac{8}{9}\right)(s+1)$.'+- params:+ singularity: A8+ n: '2'+ number: s^9 + 9*s^8 + 965/27*s^7 + 2219/27*s^6 + 2109569/17496*s^5 + 2047381/17496*s^4+ + 638695055/8503056*s^3 + 87134951/2834352*s^2 + 8911558585/1224440064*s + 929553625/1224440064+ comment: 'Normal form $f=x^{9}+y^2$; $\mu=8$; $\operatorname{lct}(f)=\frac{11}{18}$.+ Factored form: $b_f(s)=\left(s+\frac{11}{18}\right)\left(s+\frac{13}{18}\right)\left(s+\frac{5}{6}\right)\left(s+\frac{17}{18}\right)(s+1)\left(s+\frac{19}{18}\right)\left(s+\frac{7}{6}\right)\left(s+\frac{23}{18}\right)\left(s+\frac{25}{18}\right)$.'+- params:+ singularity: A8+ n: '3'+ number: s^9 + 13*s^8 + 2018/27*s^7 + 6734/27*s^6 + 1164163/2187*s^5 + 1647919/2187*s^4+ + 375923456/531441*s^3 + 225666428/531441*s^2 + 707390800/4782969*s + 108908800/4782969+ comment: 'Normal form $f=x^{9}+y^2+z^2$; $\mu=8$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{10}{9}\right)\left(s+\frac{11}{9}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{13}{9}\right)\left(s+\frac{14}{9}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{16}{9}\right)\left(s+\frac{17}{9}\right)$.'+- params:+ singularity: A9+ n: '1'+ number: s^10 + 11/2*s^9 + 66/5*s^8 + 363/20*s^7 + 157773/10000*s^6 + 180411/20000*s^5+ + 341693/100000*s^4 + 16819/20000*s^3 + 1594197/12500000*s^2 + 66429/6250000*s+ + 567/1562500+ comment: 'Normal form $f=x^{10}$; $\mu=9$; $\operatorname{lct}(f)=\frac{1}{10}$.+ Factored form: $b_f(s)=\left(s+\frac{1}{10}\right)\left(s+\frac{1}{5}\right)\left(s+\frac{3}{10}\right)\left(s+\frac{2}{5}\right)\left(s+\frac{1}{2}\right)\left(s+\frac{3}{5}\right)\left(s+\frac{7}{10}\right)\left(s+\frac{4}{5}\right)\left(s+\frac{9}{10}\right)(s+1)$.'+- params:+ singularity: A9+ n: '2'+ number: s^10 + 10*s^9 + 447/10*s^8 + 588/5*s^7 + 2016273/10000*s^6 + 1176819/5000*s^5+ + 4735217/25000*s^4 + 324196/3125*s^3 + 231278661/6250000*s^2 + 24251661/3125000*s+ + 567567/781250+ comment: 'Normal form $f=x^{10}+y^2$; $\mu=9$; $\operatorname{lct}(f)=\frac{3}{5}$.+ Factored form: $b_f(s)=\left(s+\frac{3}{5}\right)\left(s+\frac{7}{10}\right)\left(s+\frac{4}{5}\right)\left(s+\frac{9}{10}\right)(s+1)^{2}\left(s+\frac{11}{10}\right)\left(s+\frac{6}{5}\right)\left(s+\frac{13}{10}\right)\left(s+\frac{7}{5}\right)$.'+- params:+ singularity: A9+ n: '3'+ number: s^10 + 29/2*s^9 + 471/5*s^8 + 7221/20*s^7 + 9040773/10000*s^6 + 30906141/20000*s^5+ + 182584943/100000*s^4 + 147244049/100000*s^3 + 9694951947/12500000*s^2 + 301184343/1250000*s+ + 26189163/781250+ comment: 'Normal form $f=x^{10}+y^2+z^2$; $\mu=9$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{11}{10}\right)\left(s+\frac{6}{5}\right)\left(s+\frac{13}{10}\right)\left(s+\frac{7}{5}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{8}{5}\right)\left(s+\frac{17}{10}\right)\left(s+\frac{9}{5}\right)\left(s+\frac{19}{10}\right)$.'+- params:+ singularity: A10+ n: '1'+ number: s^11 + 6*s^10 + 175/11*s^9 + 270/11*s^8 + 32493/1331*s^7 + 21798/1331*s^6+ + 1212685/161051*s^5 + 380130/161051*s^4 + 9568916/19487171*s^3 + 1247256/19487171*s^2+ + 120543840/25937424601*s + 3628800/25937424601+ comment: 'Normal form $f=x^{11}$; $\mu=10$; $\operatorname{lct}(f)=\frac{1}{11}$.+ Factored form: $b_f(s)=\left(s+\frac{1}{11}\right)\left(s+\frac{2}{11}\right)\left(s+\frac{3}{11}\right)\left(s+\frac{4}{11}\right)\left(s+\frac{5}{11}\right)\left(s+\frac{6}{11}\right)\left(s+\frac{7}{11}\right)\left(s+\frac{8}{11}\right)\left(s+\frac{9}{11}\right)\left(s+\frac{10}{11}\right)(s+1)$.'+- params:+ singularity: A10+ n: '2'+ number: s^11 + 11*s^10 + 2405/44*s^9 + 7125/44*s^8 + 3383559/10648*s^7 + 4617249/10648*s^6+ + 2163653645/5153632*s^5 + 1486046425/5153632*s^4 + 686746253791/4988715776*s^3+ + 217004133501/4988715776*s^2 + 217434345380955/26559922791424*s + 18460681477875/26559922791424+ comment: 'Normal form $f=x^{11}+y^2$; $\mu=10$; $\operatorname{lct}(f)=\frac{13}{22}$.+ Factored form: $b_f(s)=\left(s+\frac{13}{22}\right)\left(s+\frac{15}{22}\right)\left(s+\frac{17}{22}\right)\left(s+\frac{19}{22}\right)\left(s+\frac{21}{22}\right)(s+1)\left(s+\frac{23}{22}\right)\left(s+\frac{25}{22}\right)\left(s+\frac{27}{22}\right)\left(s+\frac{29}{22}\right)\left(s+\frac{31}{22}\right)$.'+- params:+ singularity: A10+ n: '3'+ number: s^11 + 16*s^10 + 1275/11*s^9 + 5520/11*s^8 + 1920093/1331*s^7 + 3848208/1331*s^6+ + 663854665/161051*s^5 + 673248880/161051*s^4 + 57589621116/19487171*s^3 + 27027135936/19487171*s^2+ + 10086271796160/25937424601*s + 1279935820800/25937424601+ comment: 'Normal form $f=x^{11}+y^2+z^2$; $\mu=10$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{12}{11}\right)\left(s+\frac{13}{11}\right)\left(s+\frac{14}{11}\right)\left(s+\frac{15}{11}\right)\left(s+\frac{16}{11}\right)\left(s+\frac{17}{11}\right)\left(s+\frac{18}{11}\right)\left(s+\frac{19}{11}\right)\left(s+\frac{20}{11}\right)\left(s+\frac{21}{11}\right)$.'+- params:+ singularity: A11+ n: '1'+ number: s^12 + 13/2*s^11 + 2717/144*s^10 + 9295/288*s^9 + 249821/6912*s^8 + 42757/1536*s^7+ + 44990231/2985984*s^6 + 34345025/5971968*s^5 + 164301709/107495424*s^4 + 58917287/214990848*s^3+ + 1676701/53747712*s^2 + 430105/214990848*s + 1925/35831808+ comment: 'Normal form $f=x^{12}$; $\mu=11$; $\operatorname{lct}(f)=\frac{1}{12}$.+ Factored form: $b_f(s)=\left(s+\frac{1}{12}\right)\left(s+\frac{1}{6}\right)\left(s+\frac{1}{4}\right)\left(s+\frac{1}{3}\right)\left(s+\frac{5}{12}\right)\left(s+\frac{1}{2}\right)\left(s+\frac{7}{12}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{3}{4}\right)\left(s+\frac{5}{6}\right)\left(s+\frac{11}{12}\right)(s+1)$.'+- params:+ singularity: A11+ n: '2'+ number: s^12 + 12*s^11 + 9449/144*s^10 + 15565/72*s^9 + 3302981/6912*s^8 + 645029/864*s^7+ + 2523665507/2985984*s^6 + 347616995/497664*s^5 + 44955309289/107495424*s^4 ++ 4753404337/26873856*s^3 + 5391514169/107495424*s^2 + 460083925/53747712*s + 2977975/4478976+ comment: 'Normal form $f=x^{12}+y^2$; $\mu=11$; $\operatorname{lct}(f)=\frac{7}{12}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{12}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{3}{4}\right)\left(s+\frac{5}{6}\right)\left(s+\frac{11}{12}\right)(s+1)^{2}\left(s+\frac{13}{12}\right)\left(s+\frac{7}{6}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{17}{12}\right)$.'+- params:+ singularity: A11+ n: '3'+ number: s^12 + 35/2*s^11 + 20141/144*s^10 + 194425/288*s^9 + 15147341/6912*s^8 ++ 69676915/13824*s^7 + 25147102343/2985984*s^6 + 61510571815/5971968*s^5 + 983660827369/107495424*s^4+ + 1238183559305/214990848*s^3 + 262000691741/107495424*s^2 + 133879793635/214990848*s+ + 1301375075/17915904+ comment: 'Normal form $f=x^{12}+y^2+z^2$; $\mu=11$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{13}{12}\right)\left(s+\frac{7}{6}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{17}{12}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{19}{12}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{7}{4}\right)\left(s+\frac{11}{6}\right)\left(s+\frac{23}{12}\right)$.'+- params:+ singularity: A12+ n: '1'+ number: s^13 + 7*s^12 + 287/13*s^11 + 539/13*s^10 + 113421/2197*s^9 + 98637/2197*s^8+ + 10387421/371293*s^7 + 4680137/371293*s^6 + 256624522/62748517*s^5 + 58921324/62748517*s^4+ + 1562596392/10604499373*s^3 + 157377024/10604499373*s^2 + 19802759040/23298085122481*s+ + 479001600/23298085122481+ comment: 'Normal form $f=x^{13}$; $\mu=12$; $\operatorname{lct}(f)=\frac{1}{13}$.+ Factored form: $b_f(s)=\left(s+\frac{1}{13}\right)\left(s+\frac{2}{13}\right)\left(s+\frac{3}{13}\right)\left(s+\frac{4}{13}\right)\left(s+\frac{5}{13}\right)\left(s+\frac{6}{13}\right)\left(s+\frac{7}{13}\right)\left(s+\frac{8}{13}\right)\left(s+\frac{9}{13}\right)\left(s+\frac{10}{13}\right)\left(s+\frac{11}{13}\right)\left(s+\frac{12}{13}\right)(s+1)$.'+- params:+ singularity: A12+ n: '2'+ number: s^13 + 13*s^12 + 2017/26*s^11 + 7315/26*s^10 + 24317931/35152*s^9 + 42806643/35152*s^8+ + 9378237143/5940688*s^7 + 9064265705/5940688*s^6 + 17660019688267/16063620352*s^5+ + 9367827977431/16063620352*s^4 + 1201749482686497/5429503678976*s^3 + 309005025194475/5429503678976*s^2+ + 847865067446563425/95428956661682176*s + 60685940227460625/95428956661682176+ comment: 'Normal form $f=x^{13}+y^2$; $\mu=12$; $\operatorname{lct}(f)=\frac{15}{26}$.+ Factored form: $b_f(s)=\left(s+\frac{15}{26}\right)\left(s+\frac{17}{26}\right)\left(s+\frac{19}{26}\right)\left(s+\frac{21}{26}\right)\left(s+\frac{23}{26}\right)\left(s+\frac{25}{26}\right)(s+1)\left(s+\frac{27}{26}\right)\left(s+\frac{29}{26}\right)\left(s+\frac{31}{26}\right)\left(s+\frac{33}{26}\right)\left(s+\frac{35}{26}\right)\left(s+\frac{37}{26}\right)$.'+- params:+ singularity: A12+ n: '3'+ number: s^13 + 19*s^12 + 2159/13*s^11 + 11495/13*s^10 + 7028901/2197*s^9 + 1403853/169*s^8+ + 5912013437/371293*s^7 + 8470461725/371293*s^6 + 1532993573122/62748517*s^5 ++ 1211863838548/62748517*s^4 + 116164798868904/10604499373*s^3 + 44766453970080/10604499373*s^2+ + 23080457713017600/23298085122481*s + 2490952020480000/23298085122481+ comment: 'Normal form $f=x^{13}+y^2+z^2$; $\mu=12$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{14}{13}\right)\left(s+\frac{15}{13}\right)\left(s+\frac{16}{13}\right)\left(s+\frac{17}{13}\right)\left(s+\frac{18}{13}\right)\left(s+\frac{19}{13}\right)\left(s+\frac{20}{13}\right)\left(s+\frac{21}{13}\right)\left(s+\frac{22}{13}\right)\left(s+\frac{23}{13}\right)\left(s+\frac{24}{13}\right)\left(s+\frac{25}{13}\right)$.'+- params:+ singularity: D4+ n: '2'+ number: s^4 + 4*s^3 + 53/9*s^2 + 34/9*s + 8/9+ comment: 'Normal form $f=x^2y+y^{3}$; $\mu=4$; $\operatorname{lct}(f)=\frac{2}{3}$.+ Factored form: $b_f(s)=\left(s+\frac{2}{3}\right)(s+1)^{2}\left(s+\frac{4}{3}\right)$.'+- params:+ singularity: D4+ n: '3'+ number: s^4 + 11/2*s^3 + 401/36*s^2 + 709/72*s + 77/24+ comment: 'Normal form $f=x^2y+y^{3}+z^2$; $\mu=4$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{7}{6}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{11}{6}\right)$.'+- params:+ singularity: D5+ n: '2'+ number: s^6 + 6*s^5 + 475/32*s^4 + 155/8*s^3 + 57609/4096*s^2 + 11017/2048*s + 3465/4096+ comment: 'Normal form $f=x^2y+y^{4}$; $\mu=5$; $\operatorname{lct}(f)=\frac{5}{8}$.+ Factored form: $b_f(s)=\left(s+\frac{5}{8}\right)\left(s+\frac{7}{8}\right)(s+1)^{2}\left(s+\frac{9}{8}\right)\left(s+\frac{11}{8}\right)$.'+- params:+ singularity: D5+ n: '3'+ number: s^6 + 17/2*s^5 + 955/32*s^4 + 3545/64*s^3 + 234729/4096*s^2 + 256653/8192*s+ + 57915/8192+ comment: 'Normal form $f=x^2y+y^{4}+z^2$; $\mu=5$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{9}{8}\right)\left(s+\frac{11}{8}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{13}{8}\right)\left(s+\frac{15}{8}\right)$.'+- params:+ singularity: D6+ n: '2'+ number: s^6 + 6*s^5 + 74/5*s^4 + 96/5*s^3 + 8629/625*s^2 + 3258/625*s + 504/625+ comment: 'Normal form $f=x^2y+y^{5}$; $\mu=6$; $\operatorname{lct}(f)=\frac{3}{5}$.+ Factored form: $b_f(s)=\left(s+\frac{3}{5}\right)\left(s+\frac{4}{5}\right)(s+1)^{2}\left(s+\frac{6}{5}\right)\left(s+\frac{7}{5}\right)$.'+- params:+ singularity: D6+ n: '3'+ number: s^6 + 17/2*s^5 + 149/5*s^4 + 1103/20*s^3 + 568189/10000*s^2 + 123589/4000*s+ + 138567/20000+ comment: 'Normal form $f=x^2y+y^{5}+z^2$; $\mu=6$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{11}{10}\right)\left(s+\frac{13}{10}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{17}{10}\right)\left(s+\frac{19}{10}\right)$.'+- params:+ singularity: D7+ n: '2'+ number: s^8 + 8*s^7 + 3997/144*s^6 + 1309/24*s^5 + 1376179/20736*s^4 + 265363/5184*s^3+ + 8104967/331776*s^2 + 1093447/165888*s + 85085/110592+ comment: 'Normal form $f=x^2y+y^{6}$; $\mu=7$; $\operatorname{lct}(f)=\frac{7}{12}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{12}\right)\left(s+\frac{3}{4}\right)\left(s+\frac{11}{12}\right)(s+1)^{2}\left(s+\frac{13}{12}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{17}{12}\right)$.'+- params:+ singularity: D7+ n: '3'+ number: s^8 + 23/2*s^7 + 8281/144*s^6 + 47033/288*s^5 + 5972659/20736*s^4 + 13397657/41472*s^3+ + 74645651/331776*s^2 + 59021983/663552*s + 3380195/221184+ comment: 'Normal form $f=x^2y+y^{6}+z^2$; $\mu=7$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{13}{12}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{17}{12}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{19}{12}\right)\left(s+\frac{7}{4}\right)\left(s+\frac{23}{12}\right)$.'+- params:+ singularity: D8+ n: '2'+ number: s^8 + 8*s^7 + 194/7*s^6 + 380/7*s^5 + 3221/49*s^4 + 2468/49*s^3 + 2804332/117649*s^2+ + 749040/117649*s + 86400/117649+ comment: 'Normal form $f=x^2y+y^{7}$; $\mu=8$; $\operatorname{lct}(f)=\frac{4}{7}$.+ Factored form: $b_f(s)=\left(s+\frac{4}{7}\right)\left(s+\frac{5}{7}\right)\left(s+\frac{6}{7}\right)(s+1)^{2}\left(s+\frac{8}{7}\right)\left(s+\frac{9}{7}\right)\left(s+\frac{10}{7}\right)$.'+- params:+ singularity: D8+ n: '3'+ number: s^8 + 23/2*s^7 + 1609/28*s^6 + 9125/56*s^5 + 224821/784*s^4 + 502853/1568*s^3+ + 1675754037/7529536*s^2 + 1319542065/15059072*s + 225655875/15059072+ comment: 'Normal form $f=x^2y+y^{7}+z^2$; $\mu=8$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{15}{14}\right)\left(s+\frac{17}{14}\right)\left(s+\frac{19}{14}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{23}{14}\right)\left(s+\frac{25}{14}\right)\left(s+\frac{27}{14}\right)$.'+- params:+ singularity: D9+ n: '2'+ number: s^10 + 10*s^9 + 2859/64*s^8 + 939/8*s^7 + 6581211/32768*s^6 + 3830673/16384*s^5+ + 786357731/4194304*s^4 + 107189987/1048576*s^3 + 155734209297/4294967296*s^2+ + 16219194129/2147483648*s + 3011753745/4294967296+ comment: 'Normal form $f=x^2y+y^{8}$; $\mu=9$; $\operatorname{lct}(f)=\frac{9}{16}$.+ Factored form: $b_f(s)=\left(s+\frac{9}{16}\right)\left(s+\frac{11}{16}\right)\left(s+\frac{13}{16}\right)\left(s+\frac{15}{16}\right)(s+1)^{2}\left(s+\frac{17}{16}\right)\left(s+\frac{19}{16}\right)\left(s+\frac{21}{16}\right)\left(s+\frac{23}{16}\right)$.'+- params:+ singularity: D9+ n: '3'+ number: s^10 + 29/2*s^9 + 6027/64*s^8 + 46173/128*s^7 + 29571675/32768*s^6 + 100969995/65536*s^5+ + 7623686243/4194304*s^4 + 12273632257/8388608*s^3 + 3302983332369/4294967296*s^2+ + 2047133682261/8589934592*s + 284010484275/8589934592+ comment: 'Normal form $f=x^2y+y^{8}+z^2$; $\mu=9$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{17}{16}\right)\left(s+\frac{19}{16}\right)\left(s+\frac{21}{16}\right)\left(s+\frac{23}{16}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{25}{16}\right)\left(s+\frac{27}{16}\right)\left(s+\frac{29}{16}\right)\left(s+\frac{31}{16}\right)$.'+- params:+ singularity: D10+ n: '2'+ number: s^10 + 10*s^9 + 1205/27*s^8 + 3160/27*s^7 + 436681/2187*s^6 + 168770/729*s^5+ + 98155385/531441*s^4 + 53189420/531441*s^3 + 168573484/4782969*s^2 + 34822640/4782969*s+ + 3203200/4782969+ comment: 'Normal form $f=x^2y+y^{9}$; $\mu=10$; $\operatorname{lct}(f)=\frac{5}{9}$.+ Factored form: $b_f(s)=\left(s+\frac{5}{9}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{7}{9}\right)\left(s+\frac{8}{9}\right)(s+1)^{2}\left(s+\frac{10}{9}\right)\left(s+\frac{11}{9}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{13}{9}\right)$.'+- params:+ singularity: D10+ n: '3'+ number: s^10 + 29/2*s^9 + 5083/54*s^8 + 19453/54*s^7 + 15746885/17496*s^6 + 53670421/34992*s^5+ + 3838059977/2125764*s^4 + 24651223231/17006112*s^3 + 930085129201/1224440064*s^2+ + 574501803365/2448880128*s + 26469144625/816293376+ comment: 'Normal form $f=x^2y+y^{9}+z^2$; $\mu=10$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{19}{18}\right)\left(s+\frac{7}{6}\right)\left(s+\frac{23}{18}\right)\left(s+\frac{25}{18}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{29}{18}\right)\left(s+\frac{31}{18}\right)\left(s+\frac{11}{6}\right)\left(s+\frac{35}{18}\right)$.'+- params:+ singularity: D11+ n: '2'+ number: s^12 + 12*s^11 + 5247/80*s^10 + 1727/8*s^9 + 38119389/80000*s^8 + 7429389/10000*s^7+ + 5369014079/6400000*s^6 + 2211539517/3200000*s^5 + 10551677797221/25600000000*s^4+ + 1110518157221/6400000000*s^3 + 4008623747499/81920000000*s^2 + 1699402563351/204800000000*s+ + 52404515163/81920000000+ comment: 'Normal form $f=x^2y+y^{10}$; $\mu=11$; $\operatorname{lct}(f)=\frac{11}{20}$.+ Factored form: $b_f(s)=\left(s+\frac{11}{20}\right)\left(s+\frac{13}{20}\right)\left(s+\frac{3}{4}\right)\left(s+\frac{17}{20}\right)\left(s+\frac{19}{20}\right)(s+1)^{2}\left(s+\frac{21}{20}\right)\left(s+\frac{23}{20}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{27}{20}\right)\left(s+\frac{29}{20}\right)$.'+- params:+ singularity: D11+ n: '3'+ number: s^12 + 35/2*s^11 + 11187/80*s^10 + 107943/160*s^9 + 175085889/80000*s^8+ + 804673947/160000*s^7 + 53720829899/6400000*s^6 + 131226489163/12800000*s^5 ++ 232803307837221/25600000000*s^4 + 292508729119431/51200000000*s^3 + 988279184164059/409600000000*s^2+ + 503833524948999/819200000000*s + 11723847276141/163840000000+ comment: 'Normal form $f=x^2y+y^{10}+z^2$; $\mu=11$; $\operatorname{lct}(f)=1$.+ Factored form: $b_f(s)=(s+1)\left(s+\frac{21}{20}\right)\left(s+\frac{23}{20}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{27}{20}\right)\left(s+\frac{29}{20}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{31}{20}\right)\left(s+\frac{33}{20}\right)\left(s+\frac{7}{4}\right)\left(s+\frac{37}{20}\right)\left(s+\frac{39}{20}\right)$.'+- params:+ singularity: D12+ n: '2'+ number: s^12 + 12*s^11 + 721/11*s^10 + 2370/11*s^9 + 631713/1331*s^8 + 982296/1331*s^7+ + 133752463/161051*s^6 + 109730730/161051*s^5 + 7880063996/19487171*s^4 + 3298817112/19487171*s^3+ + 1230412716576/25937424601*s^2 + 207188755200/25937424601*s + 15850598400/25937424601+ comment: 'Normal form $f=x^2y+y^{11}$; $\mu=12$; $\operatorname{lct}(f)=\frac{6}{11}$.+ Factored form: $b_f(s)=\left(s+\frac{6}{11}\right)\left(s+\frac{7}{11}\right)\left(s+\frac{8}{11}\right)\left(s+\frac{9}{11}\right)\left(s+\frac{10}{11}\right)(s+1)^{2}\left(s+\frac{12}{11}\right)\left(s+\frac{13}{11}\right)\left(s+\frac{14}{11}\right)\left(s+\frac{15}{11}\right)\left(s+\frac{16}{11}\right)$.'+- params:+ singularity: D12+ n: '3'+ number: s^12 + 35/2*s^11 + 6151/44*s^10 + 59315/88*s^9 + 2907723/1331*s^8 + 106779405/21296*s^7+ + 43063775999/5153632*s^6 + 105005134675/10307264*s^5 + 44987261846291/4988715776*s^4+ + 5126524236455/907039232*s^3 + 63231911908089561/26559922791424*s^2 + 32143735117106685/53119845582848*s+ + 3728200351341375/53119845582848+ comment: 'Normal form $f=x^2y+y^{11}+z^2$; $\mu=12$; $\operatorname{lct}(f)=1$.+ Factored form: $b_f(s)=(s+1)\left(s+\frac{23}{22}\right)\left(s+\frac{25}{22}\right)\left(s+\frac{27}{22}\right)\left(s+\frac{29}{22}\right)\left(s+\frac{31}{22}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{35}{22}\right)\left(s+\frac{37}{22}\right)\left(s+\frac{39}{22}\right)\left(s+\frac{41}{22}\right)\left(s+\frac{43}{22}\right)$.'+- params:+ singularity: E6+ n: '2'+ number: s^7 + 7*s^6 + 499/24*s^5 + 815/24*s^4 + 227563/6912*s^3 + 43627/2304*s^2+ + 4461779/746496*s + 595595/746496+ comment: 'Normal form $f=x^3+y^4$; $\mu=6$; $\operatorname{lct}(f)=\frac{7}{12}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{12}\right)\left(s+\frac{5}{6}\right)\left(s+\frac{11}{12}\right)(s+1)\left(s+\frac{13}{12}\right)\left(s+\frac{7}{6}\right)\left(s+\frac{17}{12}\right)$.'+- params:+ singularity: E6+ n: '3'+ number: s^7 + 10*s^6 + 1021/24*s^5 + 2395/24*s^4 + 963403/6912*s^3 + 200275/1728*s^2+ + 9913199/186624*s + 482885/46656+ comment: 'Normal form $f=x^3+y^4+z^2$; $\mu=6$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{13}{12}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{17}{12}\right)\left(s+\frac{19}{12}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{23}{12}\right)$.'+- params:+ singularity: E7+ n: '2'+ number: s^8 + 8*s^7 + 749/27*s^6 + 490/9*s^5 + 144613/2187*s^4 + 111244/2187*s^3+ + 12854393/531441*s^2 + 3451930/531441*s + 400400/531441+ comment: 'Normal form $f=x^3+xy^3$; $\mu=7$; $\operatorname{lct}(f)=\frac{5}{9}$.+ Factored form: $b_f(s)=\left(s+\frac{5}{9}\right)\left(s+\frac{7}{9}\right)\left(s+\frac{8}{9}\right)(s+1)^{2}\left(s+\frac{10}{9}\right)\left(s+\frac{11}{9}\right)\left(s+\frac{13}{9}\right)$.'+- params:+ singularity: E7+ n: '3'+ number: s^8 + 23/2*s^7 + 6209/108*s^6 + 35245/216*s^5 + 10061863/34992*s^4 + 22544879/69984*s^3+ + 7619912873/34012224*s^2 + 6014612245/68024448*s + 343755125/22674816+ comment: 'Normal form $f=x^3+xy^3+z^2$; $\mu=7$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{19}{18}\right)\left(s+\frac{23}{18}\right)\left(s+\frac{25}{18}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{29}{18}\right)\left(s+\frac{31}{18}\right)\left(s+\frac{35}{18}\right)$.'+- params:+ singularity: E8+ n: '2'+ number: s^9 + 9*s^8 + 1606/45*s^7 + 3682/45*s^6 + 2016371/16875*s^5 + 388871/3375*s^4+ + 167056264/2278125*s^3 + 22542364/759375*s^2 + 17763519136/2562890625*s + 1820955136/2562890625+ comment: 'Normal form $f=x^3+y^5$; $\mu=8$; $\operatorname{lct}(f)=\frac{8}{15}$.+ Factored form: $b_f(s)=\left(s+\frac{8}{15}\right)\left(s+\frac{11}{15}\right)\left(s+\frac{13}{15}\right)\left(s+\frac{14}{15}\right)(s+1)\left(s+\frac{16}{15}\right)\left(s+\frac{17}{15}\right)\left(s+\frac{19}{15}\right)\left(s+\frac{22}{15}\right)$.'+- params:+ singularity: E8+ n: '3'+ number: s^9 + 13*s^8 + 3361/45*s^7 + 2240/9*s^6 + 71563093/135000*s^5 + 101017651/135000*s^4+ + 25514666269/36450000*s^3 + 7625652233/18225000*s^2 + 95137013446441/656100000000*s+ + 14562554020441/656100000000+ comment: 'Normal form $f=x^3+y^5+z^2$; $\mu=8$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)\left(s+\frac{31}{30}\right)\left(s+\frac{37}{30}\right)\left(s+\frac{41}{30}\right)\left(s+\frac{43}{30}\right)\left(s+\frac{47}{30}\right)\left(s+\frac{49}{30}\right)\left(s+\frac{53}{30}\right)\left(s+\frac{59}{30}\right)$.'+- params:+ singularity: P8+ n: '3'+ number: s^5 + 7*s^4 + 173/9*s^3 + 233/9*s^2 + 154/9*s + 40/9+ comment: 'Normal form $f=x^3+y^3+z^3$; $\mu=8$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)^{2}\left(s+\frac{4}{3}\right)\left(s+\frac{5}{3}\right)\left(s+2\right)$.'+- params:+ singularity: X9+ n: '2'+ number: s^6 + 6*s^5 + 235/16*s^4 + 75/4*s^3 + 841/64*s^2 + 153/32*s + 45/64+ comment: 'Normal form $f=x^4+y^4$; $\mu=9$; $\operatorname{lct}(f)=\frac{1}{2}$.+ Factored form: $b_f(s)=\left(s+\frac{1}{2}\right)\left(s+\frac{3}{4}\right)(s+1)^{2}\left(s+\frac{5}{4}\right)\left(s+\frac{3}{2}\right)$.'+- params:+ singularity: X9+ n: '3'+ number: s^6 + 17/2*s^5 + 475/16*s^4 + 1745/32*s^3 + 889/16*s^2 + 953/32*s + 105/16+ comment: 'Normal form $f=x^4+y^4+z^2$; $\mu=9$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)^{2}\left(s+\frac{5}{4}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{7}{4}\right)\left(s+2\right)$.'+- params:+ singularity: J10+ n: '2'+ number: s^8 + 8*s^7 + 497/18*s^6 + 161/3*s^5 + 83209/1296*s^4 + 15673/324*s^3 ++ 29021/1296*s^2 + 3769/648*s + 35/54+ comment: 'Normal form $f=x^3+y^6$; $\mu=10$; $\operatorname{lct}(f)=\frac{1}{2}$.+ Factored form: $b_f(s)=\left(s+\frac{1}{2}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{5}{6}\right)(s+1)^{2}\left(s+\frac{7}{6}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{3}{2}\right)$.'+- params:+ singularity: J10+ n: '3'+ number: s^8 + 23/2*s^7 + 2065/36*s^6 + 11669/72*s^5 + 183827/648*s^4 + 204113/648*s^3+ + 140395/648*s^2 + 27347/324*s + 385/27+ comment: 'Normal form $f=x^3+y^6+z^2$; $\mu=10$; $\operatorname{lct}(f)=1$. Factored+ form: $b_f(s)=(s+1)^{2}\left(s+\frac{7}{6}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{11}{6}\right)\left(s+2\right)$.'+- params:+ singularity: E12+ n: '2'+ number: s^13 + 13*s^12 + 1627/21*s^11 + 5885/21*s^10 + 6355613/9261*s^9 + 1236191/1029*s^8+ + 132616622941/85766121*s^7 + 18148662565/12252303*s^6 + 1901607233306/1801088541*s^5+ + 995779480828/1801088541*s^4 + 164149089186952/794280046581*s^3 + 13819934079520/264760015527*s^2+ + 58704593512614400/7355827511386641*s + 4101169346560000/7355827511386641+ comment: 'Normal form $f=x^3+y^7$; $\mu=12$; $\operatorname{lct}(f)=\frac{10}{21}$.+ Factored form: $b_f(s)=\left(s+\frac{10}{21}\right)\left(s+\frac{13}{21}\right)\left(s+\frac{16}{21}\right)\left(s+\frac{17}{21}\right)\left(s+\frac{19}{21}\right)\left(s+\frac{20}{21}\right)(s+1)\left(s+\frac{22}{21}\right)\left(s+\frac{23}{21}\right)\left(s+\frac{25}{21}\right)\left(s+\frac{26}{21}\right)\left(s+\frac{29}{21}\right)\left(s+\frac{32}{21}\right)$.'+- params:+ singularity: E12+ n: '3'+ number: s^13 + 19*s^12 + 6971/42*s^11 + 18535/21*s^10 + 472330463/148176*s^9 + 1223361227/148176*s^8+ + 21649656807229/1372257936*s^7 + 7725656228455/343064484*s^6 + 11070456123244331/461078666496*s^5+ + 1243855214258987/65868380928*s^4 + 4330680213935164931/406671383849472*s^3 ++ 829045549761920845/203335691924736*s^2 + 28620144310388229606925/30129469486639681536*s+ + 3064202803551734255125/30129469486639681536+ comment: 'Normal form $f=x^3+y^7+z^2$; $\mu=12$; $\operatorname{lct}(f)=\frac{41}{42}$.+ Factored form: $b_f(s)=\left(s+\frac{41}{42}\right)(s+1)\left(s+\frac{47}{42}\right)\left(s+\frac{53}{42}\right)\left(s+\frac{55}{42}\right)\left(s+\frac{59}{42}\right)\left(s+\frac{61}{42}\right)\left(s+\frac{65}{42}\right)\left(s+\frac{67}{42}\right)\left(s+\frac{71}{42}\right)\left(s+\frac{73}{42}\right)\left(s+\frac{79}{42}\right)\left(s+\frac{85}{42}\right)$.'+- params:+ singularity: E13+ n: '2'+ number: s^14 + 14*s^13 + 4069/45*s^12 + 5356/15*s^11 + 16250234/16875*s^10 + 6331468/3375*s^9+ + 6200939602/2278125*s^8 + 6806015216/2278125*s^7 + 6386797252693/2562890625*s^6+ + 1342685301386/854296875*s^5 + 9451182064961/12814453125*s^4 + 1066315933748/4271484375*s^3+ + 92246623205884/1601806640625*s^2 + 1441920336752/177978515625*s + 93282565376/177978515625+ comment: 'Normal form $f=x^3+xy^5$; $\mu=13$; $\operatorname{lct}(f)=\frac{7}{15}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{15}\right)\left(s+\frac{3}{5}\right)\left(s+\frac{11}{15}\right)\left(s+\frac{4}{5}\right)\left(s+\frac{13}{15}\right)\left(s+\frac{14}{15}\right)(s+1)^{2}\left(s+\frac{16}{15}\right)\left(s+\frac{17}{15}\right)\left(s+\frac{6}{5}\right)\left(s+\frac{19}{15}\right)\left(s+\frac{7}{5}\right)\left(s+\frac{23}{15}\right)$.'+- params:+ singularity: E13+ n: '3'+ number: s^14 + 41/2*s^13 + 8749/45*s^12 + 40703/36*s^11 + 1216083869/270000*s^10+ + 7020643201/540000*s^9 + 2044325267699/72900000*s^8 + 3347098704521/72900000*s^7+ + 37619013859924783/656100000000*s^6 + 71314676816265311/1312200000000*s^5 + 63127470473545933/1640250000000*s^4+ + 259085814918698027/13122000000000*s^3 + 45510502135399084489/6561000000000000*s^2+ + 3920013727702097089/2624400000000000*s + 650564313686776489/4374000000000000+ comment: 'Normal form $f=x^3+xy^5+z^2$; $\mu=13$; $\operatorname{lct}(f)=\frac{29}{30}$.+ Factored form: $b_f(s)=\left(s+\frac{29}{30}\right)(s+1)\left(s+\frac{11}{10}\right)\left(s+\frac{37}{30}\right)\left(s+\frac{13}{10}\right)\left(s+\frac{41}{30}\right)\left(s+\frac{43}{30}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{47}{30}\right)\left(s+\frac{49}{30}\right)\left(s+\frac{17}{10}\right)\left(s+\frac{53}{30}\right)\left(s+\frac{19}{10}\right)\left(s+\frac{61}{30}\right)$.'+- params:+ singularity: E14+ n: '2'+ number: s^15 + 15*s^14 + 15029/144*s^13 + 64337/144*s^12 + 72760961/55296*s^11 ++ 156142987/55296*s^10 + 217888909927/47775744*s^9 + 29961293479/5308416*s^8 + 593878963644785/110075314176*s^7+ + 438389716290071/110075314176*s^6 + 5947280787525259/2641807540224*s^5 + 2527326944400167/2641807540224*s^4+ + 675081748063307953/2282521714753536*s^3 + 47764165306548529/760840571584512*s^2+ + 671946143728171235/82170781731127296*s + 40473942576942875/82170781731127296+ comment: 'Normal form $f=x^3+y^8$; $\mu=14$; $\operatorname{lct}(f)=\frac{11}{24}$.+ Factored form: $b_f(s)=\left(s+\frac{11}{24}\right)\left(s+\frac{7}{12}\right)\left(s+\frac{17}{24}\right)\left(s+\frac{19}{24}\right)\left(s+\frac{5}{6}\right)\left(s+\frac{11}{12}\right)\left(s+\frac{23}{24}\right)(s+1)\left(s+\frac{25}{24}\right)\left(s+\frac{13}{12}\right)\left(s+\frac{7}{6}\right)\left(s+\frac{29}{24}\right)\left(s+\frac{31}{24}\right)\left(s+\frac{17}{12}\right)\left(s+\frac{37}{24}\right)$.'+- params:+ singularity: E14+ n: '3'+ number: s^15 + 22*s^14 + 32417/144*s^13 + 204659/144*s^12 + 342336449/55296*s^11+ + 68115593/3456*s^10 + 2263221488671/47775744*s^9 + 4181795833267/47775744*s^8+ + 13797972035391089/110075314176*s^7 + 7657276648745269/55037657088*s^6 + 313580047518924277/2641807540224*s^5+ + 201947952372690979/2641807540224*s^4 + 82103464370380741201/2282521714753536*s^3+ + 6662054508430750633/570630428688384*s^2 + 48009135147253445375/20542695432781824*s+ + 1116990304605463925/5135673858195456+ comment: 'Normal form $f=x^3+y^8+z^2$; $\mu=14$; $\operatorname{lct}(f)=\frac{23}{24}$.+ Factored form: $b_f(s)=\left(s+\frac{23}{24}\right)(s+1)\left(s+\frac{13}{12}\right)\left(s+\frac{29}{24}\right)\left(s+\frac{31}{24}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{17}{12}\right)\left(s+\frac{35}{24}\right)\left(s+\frac{37}{24}\right)\left(s+\frac{19}{12}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{41}{24}\right)\left(s+\frac{43}{24}\right)\left(s+\frac{23}{12}\right)\left(s+\frac{49}{24}\right)$.'+- params:+ singularity: Z11+ n: '2'+ number: s^12 + 12*s^11 + 2948/45*s^10 + 1936/9*s^9 + 23949178/50625*s^8 + 37153424/50625*s^7+ + 1875568552/2278125*s^6 + 510838064/759375*s^5 + 1017959658221/2562890625*s^4+ + 423367872884/2562890625*s^3 + 1058990018588/23066015625*s^2 + 176480869264/23066015625*s+ + 13326080768/23066015625+ comment: 'Normal form $f=x^3y+y^5$; $\mu=11$; $\operatorname{lct}(f)=\frac{7}{15}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{15}\right)\left(s+\frac{2}{3}\right)\left(s+\frac{11}{15}\right)\left(s+\frac{13}{15}\right)\left(s+\frac{14}{15}\right)(s+1)^{2}\left(s+\frac{16}{15}\right)\left(s+\frac{17}{15}\right)\left(s+\frac{19}{15}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{23}{15}\right)$.'+- params:+ singularity: Z11+ n: '3'+ number: s^12 + 35/2*s^11 + 25157/180*s^10 + 242473/360*s^9 + 220863731/101250*s^8+ + 4051251127/810000*s^7 + 606847352309/72900000*s^6 + 1477359162433/145800000*s^5+ + 5873536085585201/656100000000*s^4 + 7345815518059711/1312200000000*s^3 + 55548474402537101/23619600000000*s^2+ + 28151166047923009/47239200000000*s + 1084532078067977/15746400000000+ comment: 'Normal form $f=x^3y+y^5+z^2$; $\mu=11$; $\operatorname{lct}(f)=\frac{29}{30}$.+ Factored form: $b_f(s)=\left(s+\frac{29}{30}\right)(s+1)\left(s+\frac{7}{6}\right)\left(s+\frac{37}{30}\right)\left(s+\frac{41}{30}\right)\left(s+\frac{43}{30}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{47}{30}\right)\left(s+\frac{49}{30}\right)\left(s+\frac{53}{30}\right)\left(s+\frac{11}{6}\right)\left(s+\frac{61}{30}\right)$.'+- params:+ singularity: Z12+ n: '2'+ number: s^12 + 12*s^11 + 720/11*s^10 + 2360/11*s^9 + 626298/1331*s^8 + 968016/1331*s^7+ + 1080820/1331*s^6 + 878040/1331*s^5 + 7538287611/19487171*s^4 + 3110169292/19487171*s^3+ + 1140021332460/25937424601*s^2 + 188026750800/25937424601*s + 14034384000/25937424601+ comment: 'Normal form $f=x^3y+xy^4$; $\mu=12$; $\operatorname{lct}(f)=\frac{5}{11}$.+ Factored form: $b_f(s)=\left(s+\frac{5}{11}\right)\left(s+\frac{7}{11}\right)\left(s+\frac{8}{11}\right)\left(s+\frac{9}{11}\right)\left(s+\frac{10}{11}\right)(s+1)^{2}\left(s+\frac{12}{11}\right)\left(s+\frac{13}{11}\right)\left(s+\frac{14}{11}\right)\left(s+\frac{15}{11}\right)\left(s+\frac{17}{11}\right)$.'+- params:+ singularity: Z12+ n: '3'+ number: s^12 + 35/2*s^11 + 6147/44*s^10 + 59199/88*s^9 + 5792637/2662*s^8 + 106079253/21296*s^7+ + 352386779/42592*s^6 + 855778063/85184*s^5 + 44152347675603/4988715776*s^4 ++ 5003704192599/907039232*s^3 + 61330358009973645/26559922791424*s^2 + 30957195299119425/53119845582848*s+ + 3562335017206875/53119845582848+ comment: 'Normal form $f=x^3y+xy^4+z^2$; $\mu=12$; $\operatorname{lct}(f)=\frac{21}{22}$.+ Factored form: $b_f(s)=\left(s+\frac{21}{22}\right)(s+1)\left(s+\frac{25}{22}\right)\left(s+\frac{27}{22}\right)\left(s+\frac{29}{22}\right)\left(s+\frac{31}{22}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{35}{22}\right)\left(s+\frac{37}{22}\right)\left(s+\frac{39}{22}\right)\left(s+\frac{41}{22}\right)\left(s+\frac{45}{22}\right)$.'+- params:+ singularity: Z13+ n: '2'+ number: s^14 + 14*s^13 + 9763/108*s^12 + 3211/9*s^11 + 33641153/34992*s^10 + 32730997/17496*s^9+ + 92185834507/34012224*s^8 + 12624448291/4251528*s^7 + 1134761523961/459165024*s^6+ + 118961166181/76527504*s^5 + 54089929484773/74384733888*s^4 + 4559912107153/18596183472*s^3+ + 254502285224821/4518872583696*s^2 + 8904886017335/1129718145924*s + 143151258250/282429536481+ comment: 'Normal form $f=x^3y+y^6$; $\mu=13$; $\operatorname{lct}(f)=\frac{4}{9}$.+ Factored form: $b_f(s)=\left(s+\frac{4}{9}\right)\left(s+\frac{11}{18}\right)\left(s+\frac{13}{18}\right)\left(s+\frac{7}{9}\right)\left(s+\frac{8}{9}\right)\left(s+\frac{17}{18}\right)(s+1)^{2}\left(s+\frac{19}{18}\right)\left(s+\frac{10}{9}\right)\left(s+\frac{11}{9}\right)\left(s+\frac{23}{18}\right)\left(s+\frac{25}{18}\right)\left(s+\frac{14}{9}\right)$.'+- params:+ singularity: Z13+ n: '3'+ number: s^14 + 41/2*s^13 + 20995/108*s^12 + 244127/216*s^11 + 157486589/34992*s^10+ + 908736361/69984*s^9 + 952000912915/34012224*s^8 + 3114951549983/68024448*s^7+ + 52467070132529/918330048*s^6 + 24839441843047/459165024*s^5 + 1423101422655575/37192366944*s^4+ + 2916381565452407/148769467776*s^3 + 31074411473855539/4518872583696*s^2 + 13360456008577295/9037745167392*s+ + 27665032520125/188286357654+ comment: 'Normal form $f=x^3y+y^6+z^2$; $\mu=13$; $\operatorname{lct}(f)=\frac{17}{18}$.+ Factored form: $b_f(s)=\left(s+\frac{17}{18}\right)(s+1)\left(s+\frac{10}{9}\right)\left(s+\frac{11}{9}\right)\left(s+\frac{23}{18}\right)\left(s+\frac{25}{18}\right)\left(s+\frac{13}{9}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{14}{9}\right)\left(s+\frac{29}{18}\right)\left(s+\frac{31}{18}\right)\left(s+\frac{16}{9}\right)\left(s+\frac{17}{9}\right)\left(s+\frac{37}{18}\right)$.'+- params:+ singularity: W12+ n: '2'+ number: s^13 + 13*s^12 + 1549/20*s^11 + 5599/20*s^10 + 54787491/80000*s^9 + 95767419/80000*s^8+ + 4921167427/3200000*s^7 + 4703112469/3200000*s^6 + 26740985722033/25600000000*s^5+ + 2790832682033/5120000000*s^4 + 51943022730987/256000000000*s^3 + 13054371146361/256000000000*s^2+ + 1984136005191249/256000000000000*s + 137637748497249/256000000000000+ comment: 'Normal form $f=x^4+y^5$; $\mu=12$; $\operatorname{lct}(f)=\frac{9}{20}$.+ Factored form: $b_f(s)=\left(s+\frac{9}{20}\right)\left(s+\frac{13}{20}\right)\left(s+\frac{7}{10}\right)\left(s+\frac{17}{20}\right)\left(s+\frac{9}{10}\right)\left(s+\frac{19}{20}\right)(s+1)\left(s+\frac{21}{20}\right)\left(s+\frac{11}{10}\right)\left(s+\frac{23}{20}\right)\left(s+\frac{13}{10}\right)\left(s+\frac{27}{20}\right)\left(s+\frac{31}{20}\right)$.'+- params:+ singularity: W12+ n: '3'+ number: s^13 + 19*s^12 + 3319/20*s^11 + 4411/5*s^10 + 254767491/80000*s^9 + 659437383/80000*s^8+ + 50363953387/3200000*s^7 + 1436372663/64000*s^6 + 611862491020033/25600000000*s^5+ + 480587293252231/25600000000*s^4 + 1352992228614561/128000000000*s^3 + 517124103389829/128000000000*s^2+ + 7515321766701957/8000000000000*s + 100361286023229/1000000000000+ comment: 'Normal form $f=x^4+y^5+z^2$; $\mu=12$; $\operatorname{lct}(f)=\frac{19}{20}$.+ Factored form: $b_f(s)=\left(s+\frac{19}{20}\right)(s+1)\left(s+\frac{23}{20}\right)\left(s+\frac{6}{5}\right)\left(s+\frac{27}{20}\right)\left(s+\frac{7}{5}\right)\left(s+\frac{29}{20}\right)\left(s+\frac{31}{20}\right)\left(s+\frac{8}{5}\right)\left(s+\frac{33}{20}\right)\left(s+\frac{9}{5}\right)\left(s+\frac{37}{20}\right)\left(s+\frac{41}{20}\right)$.'+- params:+ singularity: W13+ n: '2'+ number: s^14 + 14*s^13 + 5785/64*s^12 + 5707/16*s^11 + 31486819/32768*s^10 + 30623983/16384*s^9+ + 11352970655/4194304*s^8 + 1553844383/524288*s^7 + 10586715690161/4294967296*s^6+ + 3326730935827/2147483648*s^5 + 99496629277955/137438953472*s^4 + 8377901299651/34359738368*s^3+ + 983849899383225/17592186044416*s^2 + 68735459972025/8796093022208*s + 8822474285625/17592186044416+ comment: 'Normal form $f=x^4+xy^4$; $\mu=13$; $\operatorname{lct}(f)=\frac{7}{16}$.+ Factored form: $b_f(s)=\left(s+\frac{7}{16}\right)\left(s+\frac{5}{8}\right)\left(s+\frac{11}{16}\right)\left(s+\frac{13}{16}\right)\left(s+\frac{7}{8}\right)\left(s+\frac{15}{16}\right)(s+1)^{2}\left(s+\frac{17}{16}\right)\left(s+\frac{9}{8}\right)\left(s+\frac{19}{16}\right)\left(s+\frac{21}{16}\right)\left(s+\frac{11}{8}\right)\left(s+\frac{25}{16}\right)$.'+- params:+ singularity: W13+ n: '3'+ number: s^14 + 41/2*s^13 + 12441/64*s^12 + 144651/128*s^11 + 147442659/32768*s^10+ + 850646199/65536*s^9 + 117329094623/4194304*s^8 + 383808775753/8388608*s^7 ++ 245111109598641/4294967296*s^6 + 464018100896961/8589934592*s^5 + 5249291076745443/137438953472*s^4+ + 5376441724368273/274877906944*s^3 + 120645501840410265/17592186044416*s^2 ++ 51844246845788925/35184372088832*s + 5149899596716875/35184372088832+ comment: 'Normal form $f=x^4+xy^4+z^2$; $\mu=13$; $\operatorname{lct}(f)=\frac{15}{16}$.+ Factored form: $b_f(s)=\left(s+\frac{15}{16}\right)(s+1)\left(s+\frac{9}{8}\right)\left(s+\frac{19}{16}\right)\left(s+\frac{21}{16}\right)\left(s+\frac{11}{8}\right)\left(s+\frac{23}{16}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{25}{16}\right)\left(s+\frac{13}{8}\right)\left(s+\frac{27}{16}\right)\left(s+\frac{29}{16}\right)\left(s+\frac{15}{8}\right)\left(s+\frac{33}{16}\right)$.'+- params:+ singularity: Q10+ n: '3'+ number: s^11 + 16*s^10 + 16675/144*s^9 + 72055/144*s^8 + 237937259/165888*s^7 ++ 237513367/82944*s^6 + 194097755675/47775744*s^5 + 195683205245/47775744*s^4 ++ 316508273684081/110075314176*s^3 + 36835459732529/27518828544*s^2 + 368390277514175/990677827584*s+ + 11565800393525/247669456896+ comment: 'Normal form $f=x^3+y^4+yz^2$; $\mu=10$; $\operatorname{lct}(f)=\frac{23}{24}$.+ Factored form: $b_f(s)=\left(s+\frac{23}{24}\right)(s+1)\left(s+\frac{29}{24}\right)\left(s+\frac{31}{24}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{35}{24}\right)\left(s+\frac{37}{24}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{41}{24}\right)\left(s+\frac{43}{24}\right)\left(s+\frac{49}{24}\right)$.'+- params:+ singularity: Q11+ n: '3'+ number: s^12 + 35/2*s^11 + 3773/27*s^10 + 36355/54*s^9 + 38131643/17496*s^8 + 174755845/34992*s^7+ + 35312523301/4251528*s^6 + 42944485045/4251528*s^5 + 10915129697549/1224440064*s^4+ + 13633881643855/2448880128*s^3 + 25737110667809/11019960576*s^2 + 13021619252305/22039921152*s+ + 125181142625/1836660096+ comment: 'Normal form $f=x^3+y^2z+xz^3$; $\mu=11$; $\operatorname{lct}(f)=\frac{17}{18}$.+ Factored form: $b_f(s)=\left(s+\frac{17}{18}\right)(s+1)\left(s+\frac{7}{6}\right)\left(s+\frac{23}{18}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{25}{18}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{29}{18}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{31}{18}\right)\left(s+\frac{11}{6}\right)\left(s+\frac{37}{18}\right)$.'+- params:+ singularity: Q12+ n: '3'+ number: s^11 + 16*s^10 + 5207/45*s^9 + 22466/45*s^8 + 72281923/50625*s^7 + 28772996/10125*s^6+ + 9149793433/2278125*s^5 + 9182118226/2278125*s^4 + 7212902790476/2562890625*s^3+ + 3337240342904/2562890625*s^2 + 8286704199872/23066015625*s + 206554251904/4613203125+ comment: 'Normal form $f=x^3+y^5+yz^2$; $\mu=12$; $\operatorname{lct}(f)=\frac{14}{15}$.+ Factored form: $b_f(s)=\left(s+\frac{14}{15}\right)(s+1)\left(s+\frac{17}{15}\right)\left(s+\frac{19}{15}\right)\left(s+\frac{4}{3}\right)\left(s+\frac{22}{15}\right)\left(s+\frac{23}{15}\right)\left(s+\frac{5}{3}\right)\left(s+\frac{26}{15}\right)\left(s+\frac{28}{15}\right)\left(s+\frac{31}{15}\right)$.'+- params:+ singularity: S11+ n: '3'+ number: s^12 + 35/2*s^11 + 8943/64*s^10 + 86163/128*s^9 + 71396523/32768*s^8 + 327146589/65536*s^7+ + 34812953747/4194304*s^6 + 84649632067/8388608*s^5 + 38236354002033/4294967296*s^4+ + 47741409167067/8589934592*s^3 + 160145765639235/68719476736*s^2 + 80983371912975/137438953472*s+ + 9336777305625/137438953472+ comment: 'Normal form $f=x^4+y^2z+xz^2$; $\mu=11$; $\operatorname{lct}(f)=\frac{15}{16}$.+ Factored form: $b_f(s)=\left(s+\frac{15}{16}\right)(s+1)\left(s+\frac{19}{16}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{21}{16}\right)\left(s+\frac{23}{16}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{25}{16}\right)\left(s+\frac{27}{16}\right)\left(s+\frac{7}{4}\right)\left(s+\frac{29}{16}\right)\left(s+\frac{33}{16}\right)$.'+- params:+ singularity: S12+ n: '3'+ number: s^13 + 19*s^12 + 2157/13*s^11 + 11463/13*s^10 + 6989691/2197*s^9 + 1390773/169*s^8+ + 5829195791/371293*s^7 + 8303926349/371293*s^6 + 1492700835492/62748517*s^5 ++ 1170797428188/62748517*s^4 + 111230094190752/10604499373*s^3 + 42435351828288/10604499373*s^2+ + 21633956197470720/23298085122481*s + 2305909870387200/23298085122481+ comment: 'Normal form $f=x^2y+y^2z+xz^3$; $\mu=12$; $\operatorname{lct}(f)=\frac{12}{13}$.+ Factored form: $b_f(s)=\left(s+\frac{12}{13}\right)(s+1)\left(s+\frac{15}{13}\right)\left(s+\frac{16}{13}\right)\left(s+\frac{17}{13}\right)\left(s+\frac{18}{13}\right)\left(s+\frac{19}{13}\right)\left(s+\frac{20}{13}\right)\left(s+\frac{21}{13}\right)\left(s+\frac{22}{13}\right)\left(s+\frac{23}{13}\right)\left(s+\frac{24}{13}\right)\left(s+\frac{27}{13}\right)$.'+- params:+ singularity: U12+ n: '3'+ number: s^10 + 29/2*s^9 + 4511/48*s^8 + 34417/96*s^7 + 6161125/6912*s^6 + 20862437/13824*s^5+ + 5261008967/2985984*s^4 + 8363522149/5971968*s^3 + 8662307659/11943936*s^2 ++ 5277730535/23887872*s + 239383375/7962624+ comment: 'Normal form $f=x^3+y^3+z^4$; $\mu=12$; $\operatorname{lct}(f)=\frac{11}{12}$.+ Factored form: $b_f(s)=\left(s+\frac{11}{12}\right)(s+1)\left(s+\frac{7}{6}\right)\left(s+\frac{5}{4}\right)\left(s+\frac{17}{12}\right)\left(s+\frac{3}{2}\right)\left(s+\frac{19}{12}\right)\left(s+\frac{7}{4}\right)\left(s+\frac{11}{6}\right)\left(s+\frac{25}{12}\right)$.'
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