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You searched for: inst=268/13

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1

New Number: 10.1 |  AESZ:  |  Superseeker: 118/91 268/13  |  Hash: 9708eba070b10afbba48d1f539423c22  

Degree: 10

\(7^{2} 13^{2} \theta^4-7 13 x\left(2221\theta^4+4604\theta^3+3940\theta^2+1638\theta+273\right)-2 x^{2}\left(275775\theta^4+850032\theta^3+1167211\theta^2+754481\theta+190918\right)+x^{3}\left(27353\theta^4-6829166\theta^2-6586125\theta-2489994\theta^3-2242968\right)-x^{4}\left(46728731\theta+12063734\theta^3+18386820+508804\theta^4+40173426\theta^2\right)+3 x^{5}\left(33450\theta^4+319414\theta^3-766536\theta^2-1551527\theta-668977\right)+x^{6}\left(2892684+47526449\theta^2+4076796\theta^4+26519901\theta+28614978\theta^3\right)-2 x^{7}\left(96271\theta^4+1136261\theta^3+4541506\theta^2+6411261\theta+2925345\right)-13 x^{8}(\theta+1)(257369\theta^3+699321\theta^2+523184\theta+25156)+2^{2} 5 13^{2} x^{9}(\theta+2)(\theta+1)(227\theta^2+762\theta+681)-2^{2} 5^{2} 13^{3} x^{10}(\theta+1)(\theta+2)^2(\theta+3)\)

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Coefficients of the holomorphic solution: 1, 3, 29, 393, 6333, ...
--> OEIS
Normalized instanton numbers (n0=1): 118/91, 373/91, 268/13, 12732/91, 105020/91, ... ; Common denominator:...

Discriminant

\(-(-1+25z+49z^2+36z^3+199z^4-40z^5+13z^6)(-91-27z+130z^2)^2\)

Local exponents

\(\frac{ 27}{ 260}-\frac{ 1}{ 260}\sqrt{ 48049}\)\(0\)\(\frac{ 27}{ 260}+\frac{ 1}{ 260}\sqrt{ 48049}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(2\)
\(3\)\(0\)\(3\)\(1\)\(2\)
\(4\)\(0\)\(4\)\(2\)\(3\)

Note:

This is operator "10.1" from ...

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2

New Number: 11.3 |  AESZ:  |  Superseeker: 118/91 268/13  |  Hash: 082df0c6e37c18b98ea10260e3e1c195  

Degree: 11

\(7^{2} 13^{2} \theta^4+7 13 x\theta(782\theta^3-1874\theta^2-1210\theta-273)-x^{2}\left(2515785\theta^4+11622522\theta^3+15227939\theta^2+9962953\theta+2649920\right)-x^{3}\left(59827597\theta^4+258678126\theta^3+432607868\theta^2+348819198\theta+110445426\right)-2 x^{4}\left(306021521\theta^4+1499440609\theta^3+2950997910\theta^2+2719866190\theta+957861945\right)-3 x^{5}\left(1254280114\theta^4+7075609686\theta^3+15834414271\theta^2+16174233521\theta+6159865002\right)-x^{6}\left(15265487382\theta^4+98210309094\theta^3+244753624741\theta^2+271941545379\theta+110147546634\right)-2 x^{7}\left(21051636001\theta^4+152243816141\theta^3+415982528557\theta^2+495914741301\theta+211134581226\right)-2 x^{8}(\theta+1)(39253400626\theta^3+275108963001\theta^2+654332416678\theta+521254338620)-x^{9}(\theta+1)(\theta+2)(94987355417\theta^2+545340710193\theta+799002779040)-2^{2} 5 7 11 x^{10}(\theta+3)(\theta+2)(\theta+1)(43765159\theta+149264765)-2^{2} 3 5^{2} 7^{2} 11^{2} 11971 x^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

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Coefficients of the holomorphic solution: 1, 0, 20, 186, 2940, ...
--> OEIS
Normalized instanton numbers (n0=1): 118/91, 373/91, 268/13, 12732/91, 105020/91, ... ; Common denominator:...

Discriminant

\(-(3z+1)(11971z^6+16085z^5+8704z^4+2334z^3+289z^2+7z-1)(91+573z+770z^2)^2\)

Local exponents

\(-\frac{ 573}{ 1540}-\frac{ 1}{ 1540}\sqrt{ 48049}\)\(-\frac{ 1}{ 3}\)\(-\frac{ 573}{ 1540}+\frac{ 1}{ 1540}\sqrt{ 48049}\)\(0\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(2\)
\(3\)\(1\)\(3\)\(0\)\(1\)\(3\)
\(4\)\(2\)\(4\)\(0\)\(2\)\(4\)

Note:

This is operator "11.3" from ...

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