Summary

You searched for: sol=82588329

Your search produced exactly one match

1

New Number: 11.17 |  AESZ:  |  Superseeker: -263/2 -218434  |  Hash: 8aa8ad0296efe97c979c0336a2ec2312  

Degree: 11

\(2^{2} \theta^4+2 x\left(392\theta^4+2242\theta^3+1627\theta^2+506\theta+66\right)-3^{4} x^{2}\left(4919\theta^4-4282\theta^3-15821\theta^2-7454\theta-1314\right)-3^{6} x^{3}\left(94081\theta^4+316116\theta^3-56932\theta^2-50550\theta-11592\right)+3^{9} x^{4}\left(515831\theta^4-644954\theta^3+849358\theta^2+710099\theta+163755\right)+3^{12} x^{5}\left(3186847\theta^4+2176900\theta^3+511345\theta^2-380988\theta-121329\right)-3^{15} x^{6}\left(2019469\theta^4+5379054\theta^3+4474094\theta^2-96435\theta-378369\right)-3^{18} x^{7}\left(16110878\theta^4+26248876\theta^3+28673698\theta^2+16497500\theta+3590691\right)+3^{22} x^{8}\left(3547267\theta^4-2702138\theta^3-11541214\theta^2-8371621\theta-1972167\right)+3^{26} x^{9}\left(364211\theta^4+2559276\theta^3+2565513\theta^2+968742\theta+115819\right)-3^{30} 5 7 x^{10}\left(2658\theta^4+6360\theta^3+6493\theta^2+3313\theta+697\right)+3^{34} 5^{2} 7^{2} x^{11}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, -33, 3321, -480255, 82588329, ...
--> OEIS
Normalized instanton numbers (n0=1): -263/2, -21293/8, -218434, -32618595/2, -1709392950, ... ; Common denominator:...

Discriminant

\((43046721z^5-35075106z^4-2486619z^3+34587z^2+439z+1)(2-243z-42282z^2+688905z^3)^2\)

Local exponents

≈\(-0.009367\)\(0\) ≈\(0.004692\) ≈\(0.066051\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)
\(3\)\(0\)\(3\)\(3\)\(1\)\(1\)
\(4\)\(0\)\(4\)\(4\)\(2\)\(1\)

Note:

This is operator "11.17" from ...

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