Summary

You searched for: inst=8052703/35

Your search produced 2 matches

You can download all data as plain text or as JSON

1

New Number: 11.12 |  AESZ:  |  Superseeker: 226/35 3959/7  |  Hash: dea88e564bf3d9a3c445795800a932fd  

Degree: 11

\(5^{2} 7^{2} \theta^4-5 7 x\theta(913\theta^3+2762\theta^2+1766\theta+385)-x^{2}\left(2524749\theta^4+9069852\theta^3+12659629\theta^2+8291990\theta+2156000\right)-2 3 x^{3}\left(8810271\theta^4+42507742\theta^3+80155619\theta^2+68498780\theta+22423100\right)-2^{3} x^{4}\left(72233462\theta^4+442878292\theta^3+1027312839\theta^2+1042690171\theta+390711800\right)-2^{4} 3 x^{5}\left(78678044\theta^4+588264556\theta^3+1609189009\theta^2+1863445805\theta+769363148\right)-2^{5} x^{6}\left(472939267\theta^4+4201829760\theta^3+13245452180\theta^2+17123706057\theta+7634545706\right)-2^{6} x^{7}\left(551391703\theta^4+5765755514\theta^3+20753496824\theta^2+29644168669\theta+14122329342\right)-2^{7} x^{8}(\theta+1)(299511992\theta^3+3514696980\theta^2+12474987717\theta+12944991068)+2^{8} 3 x^{9}(\theta+1)(\theta+2)(3500769\theta^2-93979701\theta-505363628)+2^{8} 3^{5} 17 x^{10}(\theta+3)(\theta+2)(\theta+1)(25977\theta+154654)-2^{9} 3^{3} 5^{2} 17^{2} 79 x^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 0, 110, 3084, 130914, ...
--> OEIS
Normalized instanton numbers (n0=1): 226/35, 1599/35, 3959/7, 51101/5, 8052703/35, ... ; Common denominator:...

Discriminant

\(-(-1+53z+919z^2+4792z^3+7900z^4)(34z+7)^2(2z-5)^2(6z+1)^3\)

Local exponents

\(-\frac{ 7}{ 34}\)\(-\frac{ 1}{ 6}\)\(0\)\(\frac{ 5}{ 2}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(0\)\(1\)\(1\)\(2\)
\(3\)\(0\)\(0\)\(3\)\(1\)\(3\)
\(4\)\(0\)\(0\)\(4\)\(2\)\(4\)

Note:

This is operator "11.12" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex  

2

New Number: 8.86 |  AESZ:  |  Superseeker: 226/35 3959/7  |  Hash: 815127e123ce989d9ab793a009bb2e6a  

Degree: 8

\(5^{2} 7^{2} \theta^4-5 7 x\left(3223\theta^4+4862\theta^3+3866\theta^2+1435\theta+210\right)-x^{2}\left(6440-193270\theta-1217171\theta^2-2477628\theta^3-1818051\theta^4\right)-2^{4} 3 x^{3}\left(248985\theta^4+335357\theta^3+239138\theta^2+105280\theta+22400\right)+2^{6} x^{4}\left(618707\theta^4+1107118\theta^3+1179459\theta^2+710680\theta+177284\right)-2^{11} 3 x^{5}\left(12903\theta^4+34738\theta^3+48739\theta^2+33712\theta+8972\right)+2^{15} x^{6}\left(3323\theta^4+12570\theta^3+20137\theta^2+14550\theta+3916\right)-2^{20} x^{7}(\theta+1)(99+295\theta+286\theta^2+88\theta^3)+2^{25} x^{8}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 6, 146, 5280, 229986, ...
--> OEIS
Normalized instanton numbers (n0=1): 226/35, 1599/35, 3959/7, 51101/5, 8052703/35, ... ; Common denominator:...

Discriminant

\((1-77z+251z^2-352z^3+512z^4)(32z-5)^2(8z-7)^2\)

Local exponents

\(0\)\(\frac{ 5}{ 32}\)\(\frac{ 7}{ 8}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(0\)\(1\)\(1\)\(1\)\(1\)
\(0\)\(3\)\(3\)\(1\)\(1\)
\(0\)\(4\)\(4\)\(2\)\(1\)

Note:

This is operator "8.86" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex