Summary

You searched for: sol=2

Your search produced 10 matches

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1

New Number: 5.49 |  AESZ: 248  |  Superseeker: 7/3 148  |  Hash: 0c9ccff1cb4f5096e455a9026799ed5a  

Degree: 5

\(3^{2} \theta^4-3 x\left(106\theta^4+146\theta^3+115\theta^2+42\theta+6\right)-x^{2}\left(4511\theta^4+24314\theta^3+37829\theta^2+23598\theta+5286\right)+2^{2} x^{3}\left(10457\theta^4+32184\theta^3+24449\theta^2+3627\theta-1317\right)-2^{2} 11 x^{4}\left(1596\theta^4+2040\theta^3-101\theta^2-1085\theta-386\right)-2^{4} 11^{2} x^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 54, 1028, 29110, ...
--> OEIS
Normalized instanton numbers (n0=1): 7/3, 551/24, 148, 8241/4, 86854/3, ... ; Common denominator:...

Discriminant

\(-(16z+1)(16z^2+44z-1)(-3+11z)^2\)

Local exponents

\(-\frac{ 11}{ 8}-\frac{ 5}{ 8}\sqrt{ 5}\)\(-\frac{ 1}{ 16}\)\(0\)\(-\frac{ 11}{ 8}+\frac{ 5}{ 8}\sqrt{ 5}\)\(\frac{ 3}{ 11}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 3}{ 4}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(1\)\(1\)\(0\)\(1\)\(3\)\(1\)
\(2\)\(2\)\(0\)\(2\)\(4\)\(\frac{ 5}{ 4}\)

Note:

This is operator "5.49" from ...

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2

New Number: 5.5 |  AESZ: 22  |  Superseeker: 10/7 295/7  |  Hash: 5b96eae0872756be1130d4b12ffe60a6  

Degree: 5

\(7^{2} \theta^4-7 x\left(155\theta^4+286\theta^3+234\theta^2+91\theta+14\right)-x^{2}\left(16105\theta^4+68044\theta^3+102261\theta^2+66094\theta+15736\right)+2^{3} x^{3}\left(2625\theta^4+8589\theta^3+9071\theta^2+3759\theta+476\right)-2^{4} x^{4}\left(465\theta^4+1266\theta^3+1439\theta^2+806\theta+184\right)+2^{9} x^{5}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 34, 488, 9826, ...
--> OEIS
Normalized instanton numbers (n0=1): 10/7, 65/7, 295/7, 3065/7, 4245, ... ; Common denominator:...

Discriminant

\((32z-1)(z^2-11z-1)(4z-7)^2\)

Local exponents

\(\frac{ 11}{ 2}-\frac{ 5}{ 2}\sqrt{ 5}\)\(0\)\(\frac{ 1}{ 32}\)\(\frac{ 7}{ 4}\)\(\frac{ 11}{ 2}+\frac{ 5}{ 2}\sqrt{ 5}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)
\(1\)\(0\)\(1\)\(3\)\(1\)\(1\)
\(2\)\(0\)\(2\)\(4\)\(2\)\(1\)

Note:

There is a second MUM-point at infinity, corresponding to Operator AESZ 118/5.16
A-Incarnation: five (1,1) sections in ${\bf P}^4 \times {\bf P}^4$.Quotient by ${\bf Z}/2$ of this:
the Reye congruence Calabi-Yau threefold.

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3

New Number: 5.81 |  AESZ: 312  |  Superseeker: 5/7 48/7  |  Hash: 767262575f8b1458839c1e9a8beacf0a  

Degree: 5

\(7^{2} \theta^4-7 x\left(39\theta^4+234\theta^3+201\theta^2+84\theta+14\right)-2 x^{2}\left(12073\theta^4+43222\theta^3+57461\theta^2+34328\theta+7756\right)-2^{2} x^{3}\left(28923\theta^4+48426\theta^3-33393\theta^2-80976\theta-32032\right)+2^{3} 13 x^{4}\left(359\theta^4+9790\theta^3+20805\theta^2+15784\theta+4124\right)+2^{5} 3 13^{2} x^{5}(\theta+1)^2(6\theta+5)(6\theta+7)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 30, 308, 5950, ...
--> OEIS
Normalized instanton numbers (n0=1): 5/7, 239/28, 48/7, 4451/14, 5888/7, ... ; Common denominator:...

Discriminant

\((16z+1)(2z-1)(27z-1)(7+26z)^2\)

Local exponents

\(-\frac{ 7}{ 26}\)\(-\frac{ 1}{ 16}\)\(0\)\(\frac{ 1}{ 27}\)\(\frac{ 1}{ 2}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 5}{ 6}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(3\)\(1\)\(0\)\(1\)\(1\)\(1\)
\(4\)\(2\)\(0\)\(2\)\(2\)\(\frac{ 7}{ 6}\)

Note:

This is operator "5.81" from ...

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4

New Number: 14.1 |  AESZ:  |  Superseeker: 0 0  |  Hash: a8cf56492aecc07971e82c9104785180  

Degree: 14

\(\theta^4-x\left(13\theta^4+14\theta^3+16\theta^2+9\theta+2\right)+x^{2}\left(33\theta^4-88\theta^3-265\theta^2-324\theta-148\right)+x^{3}\left(217\theta^4+2362\theta^3+6403\theta^2+8178\theta+4160\right)-2 x^{4}\left(677\theta^4+4134\theta^3+8089\theta^2+6210\theta+360\right)+2^{2} 3 x^{5}\left(151\theta^4-1266\theta^3-11610\theta^2-28955\theta-25110\right)+2^{2} x^{6}\left(1895\theta^4+37302\theta^3+176991\theta^2+355848\theta+268836\right)-2^{2} x^{7}\left(9635\theta^4+89170\theta^3+185885\theta^2-107394\theta-522464\right)+2^{3} x^{8}\left(5907\theta^4-10636\theta^3-416125\theta^2-1666326\theta-2051920\right)+2^{5} x^{9}\left(2947\theta^4+80284\theta^3+519934\theta^2+1328475\theta+1205150\right)-2^{6} x^{10}\left(6122\theta^4+84852\theta^3+397555\theta^2+722745\theta+356430\right)+2^{6} 3 x^{11}\left(2259\theta^4+13398\theta^3-46549\theta^2-456244\theta-796656\right)+2^{7} 3^{2} x^{12}(\theta+4)(371\theta^3+8580\theta^2+53325\theta+101564)-2^{10} 3^{3} x^{13}(\theta+4)(\theta+5)(51\theta^2+519\theta+1330)+2^{11} 3^{4} 5 x^{14}(\theta+4)(\theta+5)^2(\theta+6)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 16, 48, 264, ...
--> OEIS
Normalized instanton numbers (n0=1): 0, 1/4, 0, -1/2, 0, ... ; Common denominator:...

Discriminant

\((z-1)(6z-1)(4z-1)(3z+1)(4z+1)(5z-1)(2z+1)^2(2z-1)^2(6z^2-2z+1)^2\)

Local exponents

\(-\frac{ 1}{ 2}\)\(-\frac{ 1}{ 3}\)\(-\frac{ 1}{ 4}\)\(0\)\(\frac{ 1}{ 6}-\frac{ 1}{ 6}\sqrt{ 5}I\)\(\frac{ 1}{ 6}\)\(\frac{ 1}{ 6}+\frac{ 1}{ 6}\sqrt{ 5}I\)\(\frac{ 1}{ 5}\)\(\frac{ 1}{ 4}\)\(\frac{ 1}{ 2}\)\(1\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(4\)
\(0\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)\(0\)\(1\)\(5\)
\(-1\)\(1\)\(1\)\(0\)\(3\)\(1\)\(3\)\(1\)\(1\)\(-1\)\(1\)\(5\)
\(1\)\(2\)\(2\)\(0\)\(4\)\(2\)\(4\)\(2\)\(2\)\(1\)\(2\)\(6\)

Note:

This is operator "14.1" from ...

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5

New Number: 6.26 |  AESZ:  |  Superseeker: 58/43 1024/43  |  Hash: 38ef7a13fad0ecbb53ba25dafe26b113  

Degree: 6

\(43^{2} \theta^4-43 x\left(830\theta^4+1750\theta^3+1434\theta^2+559\theta+86\right)-x^{2}\left(1342738\theta^3+368510+1383525\theta+354697\theta^4+2007703\theta^2\right)-x^{3}\left(2348230+6951423\theta+774028\theta^4+3928308\theta^3+7763518\theta^2\right)-3 5 x^{4}\left(44423\theta^4+264028\theta^3+597368\theta^2+599643\theta+221430\right)-2 3^{2} 5^{2} x^{5}(\theta+2)(\theta+1)(533\theta^2+1694\theta+1290)-3^{3} 5^{3} x^{6}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 26, 344, 5650, ...
--> OEIS
Normalized instanton numbers (n0=1): 58/43, 211/43, 1024/43, 7544/43, 64880/43, ... ; Common denominator:...

Discriminant

\(-(5z+1)(27z-1)(15z+43)^2(z+1)^2\)

Local exponents

\(-\frac{ 43}{ 15}\)\(-1\)\(-\frac{ 1}{ 5}\)\(0\)\(\frac{ 1}{ 27}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(\frac{ 1}{ 2}\)\(1\)\(0\)\(1\)\(\frac{ 4}{ 3}\)
\(3\)\(\frac{ 1}{ 2}\)\(1\)\(0\)\(1\)\(\frac{ 5}{ 3}\)
\(4\)\(1\)\(2\)\(0\)\(2\)\(2\)

Note:

This is operator "6.26" from ...

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6

New Number: 6.9 |  AESZ:  |  Superseeker: 31/81 29/9  |  Hash: 98af5121f39c27098356e3ade277f975  

Degree: 6

\(3^{8} \theta^4-3^{4} x\left(1234\theta^4+2168\theta^3+1975\theta^2+891\theta+162\right)-x^{2}\left(428004+1521180\theta+2033921\theta^2+1177556\theta^3+205589\theta^4\right)+x^{3}\left(2310517\theta^4+12882402\theta^3+26939429\theta^2+25052328\theta+8683524\right)-2^{2} 5^{2} x^{4}\left(51526\theta^4+332687\theta^3+804453\theta^2+849398\theta+325796\right)+2^{2} 5^{4} x^{5}(\theta+1)(1593\theta^3+8667\theta^2+15104\theta+8516)-2^{4} 5^{6} x^{6}(\theta+2)(\theta+1)(2\theta+3)^2\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 14, 104, 1030, ...
--> OEIS
Normalized instanton numbers (n0=1): 31/81, 40/27, 29/9, 1532/81, 6551/81, ... ; Common denominator:...

Discriminant

\(-(16z-1)(25z^3-17z^2+2z+1)(-81+50z)^2\)

Local exponents

≈\(-0.17455\)\(0\)\(\frac{ 1}{ 16}\) ≈\(0.427275-0.215865I\) ≈\(0.427275+0.215865I\)\(\frac{ 81}{ 50}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(\frac{ 3}{ 2}\)
\(1\)\(0\)\(1\)\(1\)\(1\)\(3\)\(\frac{ 3}{ 2}\)
\(2\)\(0\)\(2\)\(2\)\(2\)\(4\)\(2\)

Note:

This is operator "6.9" from ...

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7

New Number: 8.33 |  AESZ: 322  |  Superseeker: 4/3 95/3  |  Hash: a19da26bf1a7748e3b7e6151e803da30  

Degree: 8

\(3^{2} \theta^4+3 x\left(5\theta^4-122\theta^3-100\theta^2-39\theta-6\right)-x^{2}\left(5052+23736\theta+41729\theta^2+32600\theta^3+8603\theta^4\right)-2^{2} x^{3}\left(33304\theta^4+108297\theta^3+122347\theta^2+61470\theta+11712\right)-2^{2} x^{4}\left(180401\theta^4+547606\theta^3+638125\theta^2+339248\theta+69036\right)-2^{4} x^{5}\left(94934\theta^4+298745\theta^3+355667\theta^2+189660\theta+38224\right)-2^{4} x^{6}\left(73291\theta^4+204216\theta^3+190453\theta^2+68916\theta+6964\right)-2^{7} 3 x^{7}\left(811\theta^4+1886\theta^3+1804\theta^2+861\theta+174\right)-2^{10} 3^{2} x^{8}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 46, 632, 16846, ...
--> OEIS
Normalized instanton numbers (n0=1): 4/3, 18, 95/3, 14575/12, 18158/3, ... ; Common denominator:...

Discriminant

\(-(-1+13z+827z^2+1928z^3+64z^4)(3+22z+12z^2)^2\)

Local exponents

\(-\frac{ 11}{ 12}-\frac{ 1}{ 12}\sqrt{ 85}\)\(-\frac{ 11}{ 12}+\frac{ 1}{ 12}\sqrt{ 85}\)\(0\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(0\)\(1\)\(1\)
\(3\)\(3\)\(0\)\(1\)\(1\)
\(4\)\(4\)\(0\)\(2\)\(1\)

Note:

This operator has a second MUM-point at infininty corresponding to operator 8.34

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8

New Number: 8.63 |  AESZ:  |  Superseeker: 8/5 67  |  Hash: 2c5f91dca73abc39f5d6eb00b9c4ea16  

Degree: 8

\(5^{2} \theta^4-5 x\left(199\theta^4+206\theta^3+168\theta^2+65\theta+10\right)+x^{2}\left(3919\theta^4-12068\theta^3-29761\theta^2-21850\theta-5520\right)+2^{3} x^{3}\left(7540\theta^4+22092\theta^3+14577\theta^2+945\theta-1380\right)-2^{4} x^{4}\left(19051\theta^4+64358\theta^3+193446\theta^2+204083\theta+70234\right)+2^{6} x^{5}\left(9185\theta^4+171038\theta^3+422584\theta^2+391123\theta+124848\right)-2^{6} 3^{2} x^{6}\left(4673\theta^4+16800\theta^3+53963\theta^2+64704\theta+24596\right)-2^{9} 3^{4} x^{7}\left(578\theta^4+2884\theta^3+4825\theta^2+3383\theta+858\right)-2^{12} 3^{8} x^{8}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 30, 488, 9934, ...
--> OEIS
Normalized instanton numbers (n0=1): 8/5, 101/10, 67, 6197/10, 32978/5, ... ; Common denominator:...

Discriminant

\(-(8z+1)(648z^3-79z^2+35z-1)(-5+32z+72z^2)^2\)

Local exponents

\(-\frac{ 2}{ 9}-\frac{ 1}{ 36}\sqrt{ 154}\)\(-\frac{ 1}{ 8}\)\(0\) ≈\(0.030113\) ≈\(0.0459-0.221678I\) ≈\(0.0459+0.221678I\)\(-\frac{ 2}{ 9}+\frac{ 1}{ 36}\sqrt{ 154}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)
\(3\)\(1\)\(0\)\(1\)\(1\)\(1\)\(3\)\(1\)
\(4\)\(2\)\(0\)\(2\)\(2\)\(2\)\(4\)\(1\)

Note:

This is operator "8.63" from ...

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9

New Number: 24.2 |  AESZ:  |  Superseeker: 14/3 13813/81  |  Hash: 41744bc2b21cfd322eaaeeef9708f32d  

Degree: 24

\(3^{3} \theta^4-3^{2} x\left(51\theta^4+166\theta^3+126\theta^2+43\theta+6\right)-3 x^{2}\left(8565\theta^4-5068\theta^3-4379\theta^2+5314\theta+3696\right)+2^{3} x^{3}\left(97217\theta^4+85594\theta^3+1042\theta^2+126065\theta+85260\right)+2^{4} x^{4}\left(169515\theta^4-51450\theta^3+3610310\theta^2+2229139\theta+376554\right)-2^{6} x^{5}\left(54033673\theta^4+3817434\theta^3+23026430\theta^2+18524325\theta+5269236\right)+2^{6} x^{6}\left(56745577\theta^4-58947232\theta^3-9100317\theta^2-107018560\theta-95196876\right)+2^{9} x^{7}\left(65530931\theta^4+428839238\theta^3+747632002\theta^2+855490591\theta+415787350\right)-2^{12} x^{8}\left(224356709\theta^4+564772296\theta^3+806751290\theta^2+577253730\theta+163219723\right)+2^{15} x^{9}\left(114705522\theta^4-402572832\theta^3-1600120000\theta^2-2391161140\theta-1263777229\right)+2^{18} x^{10}\left(221581518\theta^4+1753790880\theta^3+4463022454\theta^2+5290385822\theta+2416009977\right)-2^{21} x^{11}\left(297104050\theta^4+1400293560\theta^3+2545523552\theta^2+1898196336\theta+390414885\right)+2^{24} x^{12}\left(10381942\theta^4-638906128\theta^3-3420395594\theta^2-6131585970\theta-3713844291\right)+2^{27} x^{13}\left(169708186\theta^4+1632741184\theta^3+5661963400\theta^2+8312515476\theta+4455840251\right)-2^{30} x^{14}\left(77350272\theta^4+671060736\theta^3+196015614\theta^2+2227548066\theta+858195311\right)-2^{33} x^{15}\left(17292844\theta^4+225530588\theta^3+1196571252\theta^2+2510894402\theta+1734945305\right)+2^{36} x^{16}\left(12130172\theta^4+177960128\theta^3+899828890\theta^2+1740569194\theta+1131946327\right)+2^{39} x^{17}\left(2418550\theta^4-1367904\theta^3-97574768\theta^2-250801932\theta-179706127\right)-2^{42} x^{18}\left(425070\theta^4+769632\theta^3-7412666\theta^2-16056554\theta-8835779\right)-2^{45} x^{19}\left(740094\theta^4+721836\theta^3+20106464\theta^2+17226568\theta+1351671\right)+2^{48} x^{20}\left(107306\theta^4+1324272\theta^3+3588658\theta^2+3406170\theta+914247\right)+2^{51} x^{21}\left(18758\theta^4+64528\theta^3+62232\theta^2+29908\theta+36609\right)+2^{54} x^{22}\left(7159\theta^4+51040\theta^3+122273\theta^2+126170\theta+49919\right)-2^{57} 5 x^{23}\left(491\theta^4+2994\theta^3+6902\theta^2+7137\theta+2797\right)+2^{60} 5^{2} x^{24}\left((\theta+2)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 2, 42, 184, 2282, ...
--> OEIS
Normalized instanton numbers (n0=1): 14/3, -337/18, 13813/81, -928499/486, 16107365/729, ... ; Common denominator:...

Discriminant

\(27-459z+128965078929381523456z^22-353802786726226165760z^23+28823037615171174400z^24+3631716928z^6+33551836672z^7-918965080064z^8+3758670544896z^9+58086265454592z^10+833579072557678592z^16+1329611923678822400z^17-25695z^2+777736z^3+2712240z^4-3458155072z^5-1869477630474977280z^18-623072352665600z^11+174180083433472z^12+22777847147921408z^13-83054222144176128z^14-148544398869659648z^15-26039742676712030208z^19+30203953850913652736z^20+42239260905107881984z^21\)

No data for singularities

Note:

This is operator "24.2" from ...

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10

New Number: 24.7 |  AESZ:  |  Superseeker: 56/5 559/5  |  Hash: 336e13908a4135ad95bf2ff2d46bb83a  

Degree: 24

\(5^{2} \theta^4-5 x\left(463\theta^4+542\theta^3+376\theta^2+105\theta+10\right)+x^{2}\left(38911\theta^4+143068\theta^3+96911\theta^2-8410\theta-16240\right)+2^{3} x^{3}\left(186905\theta^4+81378\theta^3+88788\theta^2+360435\theta+218380\right)-2^{4} x^{4}\left(1704271\theta^4+9541358\theta^3+14231390\theta^2+13669831\theta+5731218\right)-2^{6} x^{5}\left(15011337\theta^4-14455830\theta^3-64537772\theta^2-9052069\theta+7186452\right)+2^{6} x^{6}\left(206408655\theta^4+1020385248\theta^3+785582213\theta^2+1555725408\theta+951295884\right)+2^{9} x^{7}\left(698255755\theta^4-163348402\theta^3-1318828736\theta^2-1785386595\theta-1224199334\right)-2^{12} x^{8}\left(701991271\theta^4+5636192224\theta^3+3236990978\theta^2+5313693170\theta+2949161249\right)-2^{15} x^{9}\left(2875813642\theta^4+1575955464\theta^3+6139277016\theta^2+1953887232\theta-1856038805\right)+2^{18} x^{10}\left(1229738322\theta^4+13294024440\theta^3+20862382558\theta^2+22375916614\theta+8904938615\right)+2^{21} x^{11}\left(6972931522\theta^4+17811201184\theta^3+36844514644\theta^2+34937193792\theta+12478431857\right)-2^{24} x^{12}\left(47261798\theta^4+11860211352\theta^3+32287227386\theta^2+40575988626\theta+18913177361\right)-2^{27} x^{13}\left(8467877458\theta^4+45273450632\theta^3+105769155104\theta^2+120015813856\theta+53142585891\right)-2^{30} x^{14}\left(2826802128\theta^4+11976425928\theta^3+21189010304\theta^2+18893532010\theta+6423514809\right)+2^{33} x^{15}\left(3487867272\theta^4+31470146412\theta^3+100658721788\theta^2+137189138370\theta+68860829493\right)+2^{36} x^{16}\left(2111185276\theta^4+19848149672\theta^3+66367678882\theta^2+94157446170\theta+48413530837\right)+2^{39} x^{17}\left(273436034\theta^4+23130316\theta^3+6511960264\theta^2+7608261184\theta+3133380007\right)+2^{42} x^{18}\left(52275790\theta^4+280946856\theta^3+227424690\theta^2-418115838\theta-514600771\right)+2^{45} x^{19}\left(20429470\theta^4+130812944\theta^3+194301260\theta^2-19563992\theta-135286533\right)+2^{48} x^{20}\left(1075878\theta^4+4478424\theta^3+2790962\theta^2-6521222\theta-6473523\right)+2^{51} x^{21}\left(87074\theta^4-54408\theta^3-732848\theta^2-911880\theta-243705\right)+2^{54} 3 x^{22}\left(15627\theta^4+62744\theta^3+88505\theta^2+52758\theta+13139\right)-2^{57} 3^{2} x^{23}\left(219\theta^4+1306\theta^3+2940\theta^2+2959\theta+1123\right)+2^{60} 3^{3} x^{24}\left((\theta+2)^4\right)\)

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Coefficients of the holomorphic solution: 1, 2, 78, 1480, 50702, ...
--> OEIS
Normalized instanton numbers (n0=1): 56/5, -71/10, 559/5, 24361/10, 11458/5, ... ; Common denominator:...

Discriminant

\((8z-1)(4096z^6-38912z^5+123264z^4-672z^3-1279z^2+75z-1)(64z^2+8z-1)(8z+1)^2(4096z^5+512z^4+1216z^3+1496z^2+136z+5)^2(24z-1)^3\)

No data for singularities

Note:

This is operator "24.7" from ...

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