Summary

You searched for: sol=105

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1

New Number: 6.35 |  AESZ:  |  Superseeker: 2 224/9  |  Hash: 31d226ff68f616edaab012f85462b8e9  

Degree: 6

\(\theta^4-x\left(9+48\theta+104\theta^2+112\theta^3+41\theta^4\right)+2 x^{2}\left(167\theta^4+1358\theta^3+2593\theta^2+1990\theta+573\right)+2 x^{3}\left(1273\theta^4-822\theta^3-16239\theta^2-22188\theta-9009\right)-5 x^{4}\left(3923\theta^4+29740\theta^3+51878\theta^2+33360\theta+6534\right)-5^{2} x^{5}(\theta+1)(2929\theta^3+4467\theta^2-1969\theta-4047)+2^{2} 3^{2} 5^{4} x^{6}(\theta+2)(\theta+1)(2\theta+3)^2\)

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Coefficients of the holomorphic solution: 1, 9, 105, 1425, 21465, ...
--> OEIS
Normalized instanton numbers (n0=1): 2, -4, 224/9, -112, 4446/5, ... ; Common denominator:...

Discriminant

\(\)

No data for singularities

Note:

This is operator "6.35" from ...

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2

New Number: 24.6 |  AESZ:  |  Superseeker: 22/3 -2493289/4374  |  Hash: 97e76a6ce607bb4fccacf27108605ba7  

Degree: 24

\(3^{3} \theta^4-3^{2} x\left(219\theta^4+446\theta^3+360\theta^2+137\theta+21\right)+3 x^{2}\left(15627\theta^4+62272\theta^3+87089\theta^2+4898\theta+9723\right)+x^{3}\left(87074\theta^4+751000\theta^3+1683376\theta^2+1419752\theta+477111\right)+x^{4}\left(1075878\theta^4+4128600\theta^3+1741490\theta^2-1627922\theta-880575\right)+x^{5}\left(20429470\theta^4+32622816\theta^3-100269124\theta^2-119243256\theta-38585541\right)+x^{6}\left(52275790\theta^4+137259464\theta^3-203637486\theta^2-370722394\theta-179832543\right)+x^{7}\left(273436034\theta^4-125542744\theta^3-803761016\theta^2-566839232\theta-164572889\right)+x^{8}\left(2111185276\theta^4-2958667464\theta^3-2052772526\theta^2+693402126\theta+563121065\right)+x^{9}\left(3487867272\theta^4-3567208236\theta^3-4453342156\theta^2-584255458\theta+1162144961\right)-x^{10}\left(2826802128\theta^4+10637991096\theta^3+17173705808\theta^2+12603066166\theta+2809918629\right)-x^{11}\left(8467877458\theta^4+22469569032\theta^3+37357510304\theta^2+30751477632\theta+9486012867\right)-x^{12}\left(47261798\theta^4-11482116968\theta^3-37739757574\theta^2-52237237770\theta-27215392395\right)+x^{13}\left(6972931522\theta^4+37972250992\theta^3+97327664068\theta^2+121840259280\theta+59059397729\right)+x^{14}\left(1229738322\theta^4-3456117864\theta^3-29388044354\theta^2-59103053358\theta-39073746749\right)-x^{15}\left(2875813642\theta^4+21430553672\theta^3+6570307164\theta^2+95717791808\theta+52198669355\right)-x^{16}\left(701991271\theta^4-20262056\theta^3-13732371862\theta^2-37536315274\theta-28587938635\right)+x^{17}\left(698255755\theta^4+5749394442\theta^3+16419399796\theta^2+20814436635\theta+9550138208\right)+x^{18}\left(206408655\theta^4+630883992\theta^3-382921555\theta^2-4052942572\theta-3878369584\right)-2^{3} x^{19}\left(15011337\theta^4+134546526\theta^3+382469296\theta^2+404733725\theta+122967534\right)-2^{4} x^{20}\left(1704271\theta^4+4092810\theta^3-2114254\theta^2-16703895\theta-13745412\right)+2^{6} x^{21}\left(186905\theta^4+1413862\theta^3+4086240\theta^2+4999141\theta+2192118\right)+2^{6} x^{22}\left(38911\theta^4+168220\theta^3+172367\theta^2-75610\theta-133744\right)-2^{9} 5 x^{23}\left(463\theta^4+3162\theta^3+8236\theta^2+9711\theta+4376\right)+2^{12} 5^{2} x^{24}\left((\theta+2)^4\right)\)

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Coefficients of the holomorphic solution: 1, 7, 105, 452635/243, 14933417/576, ...
--> OEIS
Normalized instanton numbers (n0=1): 22/3, -11327/36, -2493289/4374, 115727987299/1492992, 607258502821/3499200, ... ; Common denominator:...

Discriminant

\((z-1)(64z^6-600z^5+1279z^4+84z^3-1926z^2+76z-1)(z^2-z-1)(z+1)^2(40z^5+136z^4+187z^3+19z^2+z+1)^2(z-3)^3\)

No data for singularities

Note:

This is operator "24.6" from ...

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