Calabi-Yau differential operator database v.3.0

1

New Number: 2.20 | AESZ: 133 | Superseeker: 12 -3284/3 | Hash: 4c9628f7dd48f4e9e6ec75303e557389

Degree: 2

\(\theta^4-2^{2} 3 x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{4} 3^{3} x^{2}(2\theta+1)^2(2\theta+3)^2\)

Coefficients of the holomorphic solution: 1, 12, 324, 8400, 44100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 12, -42, -3284/3, -20538, -103776, ... ; Common denominator:...

Discriminant

\(1-144z+6912z^2\)

Local exponents

\(0\) \(\frac{ 1}{ 96}-\frac{ 1}{ 288}\sqrt{ 3}I\) \(\frac{ 1}{ 96}+\frac{ 1}{ 288}\sqrt{ 3}I\) \(\infty\)
\(0\) \(0\) \(0\) \(\frac{ 1}{ 2}\)
\(0\) \(1\) \(1\) \(\frac{ 1}{ 2}\)
\(0\) \(1\) \(1\) \(\frac{ 3}{ 2}\)
\(0\) \(2\) \(2\) \(\frac{ 3}{ 2}\)

\(0\)	\(\frac{ 1}{ 96}-\frac{ 1}{ 288}\sqrt{ 3}I\)	\(\frac{ 1}{ 96}+\frac{ 1}{ 288}\sqrt{ 3}I\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)
\(0\)	\(2\)	\(2\)	\(\frac{ 3}{ 2}\)

Note:

Hadamard product A*f
Explicit solution not yet verified

Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 12, -324, -29544, -1314756, -12971988, 2033927928, 146587697352,...
Coefficients of the q-coordinate : 0, 1, -36, 1134, -24912, 564597, -11502648, 173126610,...

	Gopakumar-Vafa invariants
g=0	,...
g=1	,...
g=2	,...

Explicit solution

\(A_{n}=\dbinom{2n}{n}^2\sum_{k=0}^{n}(-1)^{k}3^{n-3k}\dbinom{n}{3k}\frac{(3k)!}{k!^3}\)

Maple LaTex

No topological data

Monodromy (with respect to Frobenius basis)

\(1\)	\(-1\)	\(\frac{ 1}{ 2}\)	\(-\frac{ 1}{ 6}\)
\(0\)	\(1\)	\(-1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(0\)	\(1\)	\(-1\)
\(0\)	\(0\)	\(0\)	\(1\)

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\(\frac{ 1}{ 6}+120\lambda\)	\(-\frac{ 5}{ 36}+20\lambda\)	\(-\frac{ 5}{ 54}+\frac{ 40}{ 3}\lambda\)	\(-.9896550e-2+\frac{ 50}{ 9}\lambda\)
\(4+\frac{ 7}{ 1000000000}I\)	\(\frac{ 5}{ 3}-\frac{ 1}{ 500000000}I\)	\(\frac{ 4}{ 9}-\frac{ 1}{ 500000000}I\)	\(\frac{ 5}{ 54}-\frac{ 40}{ 3}\lambda\)
\(-6.-.11e-7I\)	\(-1+\frac{ 3}{ 1000000000}I\)	\(\frac{ 1}{ 3}+\frac{ 3}{ 1000000000}I\)	\(-\frac{ 5}{ 36}+20\lambda\)
\(36.000000031+.67e-7I\)	\(-24I3^{ \frac{ 19}{ 41}}\lambdaPi^3-\frac{ 1}{ 62500000}I\)	\(4-\frac{ 9}{ 500000000}I\)	\(\frac{ 11}{ 6}-120\lambda\)

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\(\frac{ 11}{ 6}+120\lambda\)	\(-\frac{ 5}{ 36}-20\lambda\)	\(\frac{ 5}{ 54}+\frac{ 40}{ 3}\lambda\)	\(-.9896550e-2-\frac{ 50}{ 9}\lambda\)
\(4\)	\(\frac{ 1}{ 3}\)	\(\frac{ 4}{ 9}\)	\(-\frac{ 5}{ 54}-\frac{ 40}{ 3}\lambda\)
\(6\)	\(-1\)	\(\frac{ 5}{ 3}\)	\(-\frac{ 5}{ 36}-20\lambda\)
\(36\)	\(-6\)	\(4\)	\(\frac{ 1}{ 6}-120\lambda\)

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Basis of the Doran-Morgan lattice

\(\frac{ 5}{ 6}-120\lambda\)	\(\frac{ 78000000031}{ 6000000000}+\frac{ 71}{ 3000000000}I\)	\(\frac{ 302400000483599999147}{ 259200000446400001090}+\frac{ 1124400000899}{ 259200000446400001090}I\)	\(1\)
\(-4-\frac{ 7}{ 1000000000}I\)	\(-\frac{ 48000000031}{ 2000000000}-\frac{ 89}{ 2000000000}I\)	\(-\frac{ 648000001115999998236}{ 648000001116000002725}-\frac{ 2412000002077}{ 648000001116000002725}I\)	\(0\)
\(6+\frac{ 11}{ 1000000000}I\)	\(\frac{ 36000000031}{ 1000000000}+\frac{ 67}{ 1000000000}I\)	\(0\)	\(0\)
\(-\frac{ 36000000031}{ 1000000000}-\frac{ 67}{ 1000000000}I\)	\(0\)	\(0\)	\(0\)

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2

New Number: 2.65 | AESZ: 183 | Superseeker: -4 -556/9 | Hash: 04a3788c3f9ed53281ae824deb33d833

Degree: 2

\(\theta^4+2^{2} x(2\theta+1)^2(7\theta^2+7\theta+3)+2^{4} 3 x^{2}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, -12, 324, -11280, 447300, ...
--> OEIS
Normalized instanton numbers (n₀=1): -4, 8, -556/9, 624, -8928, ... ; Common denominator:...

Discriminant

\((48z+1)(64z+1)\)

Local exponents

\(-\frac{ 1}{ 48}\) \(-\frac{ 1}{ 64}\) \(0\) \(\infty\)
\(0\) \(0\) \(0\) \(\frac{ 1}{ 2}\)
\(1\) \(1\) \(0\) \(\frac{ 3}{ 4}\)
\(1\) \(1\) \(0\) \(\frac{ 5}{ 4}\)
\(2\) \(2\) \(0\) \(\frac{ 3}{ 2}\)

\(-\frac{ 1}{ 48}\)	\(-\frac{ 1}{ 64}\)	\(0\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(0\)	\(\frac{ 3}{ 4}\)
\(1\)	\(1\)	\(0\)	\(\frac{ 5}{ 4}\)
\(2\)	\(2\)	\(0\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "2.65" from ...

3

New Number: 4.71 | AESZ: 353 | Superseeker: -4 -1580/9 | Hash: 33845d8200fe810109063e352fbfc8b1

Degree: 4

\(\theta^4-2^{2} x\left(52\theta^4+40\theta^3+37\theta^2+17\theta+3\right)+2^{4} x^{2}\left(960\theta^4+1536\theta^3+1512\theta^2+688\theta+123\right)-2^{8} x^{3}\left(1792\theta^4+4608\theta^3+5184\theta^2+2816\theta+597\right)+2^{14} x^{4}(4\theta+5)^2(4\theta+3)^2\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 324, 11856, 504900, ...
--> OEIS
Normalized instanton numbers (n₀=1): -4, -24, -1580/9, -1580, -17120, ... ; Common denominator:...

Discriminant

\((16z-1)(64z-1)^3\)

Local exponents

\(0\) \(\frac{ 1}{ 64}\) \(\frac{ 1}{ 16}\) \(\infty\)
\(0\) \(0\) \(0\) \(\frac{ 3}{ 4}\)
\(0\) \(\frac{ 1}{ 2}\) \(1\) \(\frac{ 3}{ 4}\)
\(0\) \(\frac{ 3}{ 2}\) \(1\) \(\frac{ 5}{ 4}\)
\(0\) \(2\) \(2\) \(\frac{ 5}{ 4}\)

\(0\)	\(\frac{ 1}{ 64}\)	\(\frac{ 1}{ 16}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(\frac{ 3}{ 4}\)
\(0\)	\(\frac{ 1}{ 2}\)	\(1\)	\(\frac{ 3}{ 4}\)
\(0\)	\(\frac{ 3}{ 2}\)	\(1\)	\(\frac{ 5}{ 4}\)
\(0\)	\(2\)	\(2\)	\(\frac{ 5}{ 4}\)

Note:

Sporadic Operator, reducible to 3.33, so not a primary operator.

4

New Number: 4.72 | AESZ: 361 | Superseeker: 20 -119332/9 | Hash: f55eaa640956f064f5230c04d8173d60

Degree: 4

\(\theta^4-2^{2} x\left(80\theta^4+88\theta^3+67\theta^2+23\theta+3\right)+2^{4} 3 x^{2}\left(928\theta^4+2080\theta^3+2176\theta^2+972\theta+153\right)-2^{10} 3^{2} x^{3}\left(272\theta^4+648\theta^3+511\theta^2+162\theta+18\right)+2^{12} 3^{6} x^{4}\left((2\theta+1)^4\right)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 324, -6000, -2778300, ...
--> OEIS
Normalized instanton numbers (n₀=1): 20, -139, -119332/9, -462222, -2113440, ... ; Common denominator:...

Discriminant

\((20736z^2-224z+1)(-1+48z)^2\)

Local exponents

\(0\) \(s_1\) \(s_2\) \(\frac{ 7}{ 1296}-\frac{ 1}{ 324}\sqrt{ 2}I\) \(\frac{ 7}{ 1296}+\frac{ 1}{ 324}\sqrt{ 2}I\) \(\frac{ 1}{ 48}\) \(\infty\)
\(0\) \(0\) \(0\) \(0\) \(0\) \(0\) \(\frac{ 1}{ 2}\)
\(0\) \(1\) \(1\) \(1\) \(1\) \(1\) \(\frac{ 1}{ 2}\)
\(0\) \(1\) \(1\) \(1\) \(1\) \(3\) \(\frac{ 1}{ 2}\)
\(0\) \(2\) \(2\) \(2\) \(2\) \(4\) \(\frac{ 1}{ 2}\)

\(0\)	\(s_1\)	\(s_2\)	\(\frac{ 7}{ 1296}-\frac{ 1}{ 324}\sqrt{ 2}I\)	\(\frac{ 7}{ 1296}+\frac{ 1}{ 324}\sqrt{ 2}I\)	\(\frac{ 1}{ 48}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(3\)	\(\frac{ 1}{ 2}\)
\(0\)	\(2\)	\(2\)	\(2\)	\(2\)	\(4\)	\(\frac{ 1}{ 2}\)

Note:

Sporadic Operator. There is a second MUM-point hiding at infinity, corresponding to Operator AESZ 362/4.73

5

New Number: 5.51 | AESZ: 250 | Superseeker: 308/23 70799/23 | Hash: 9c19794a84073d1c6dfd11c8a7c9a740

Degree: 5

\(23^{2} \theta^4-23 x\left(3271\theta^4+5078\theta^3+3896\theta^2+1357\theta+184\right)+x^{2}\left(1357863\theta^4+999924\theta^3-787393\theta^2-850862\theta-205712\right)-2^{3} x^{3}\left(775799\theta^4-272481\theta^3-218821\theta^2+176709\theta+100234\right)-2^{4} 61 x^{4}\left(1005\theta^4-15654\theta^3-36317\theta^2-27938\theta-7304\right)-2^{9} 61^{2} x^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 8, 324, 19304, 1388260, ...
--> OEIS
Normalized instanton numbers (n₀=1): 308/23, 3526/23, 70799/23, 2148684/23, 81402822/23, ... ; Common denominator:...

Discriminant

\(-(512z^3+113z^2+121z-1)(-23+244z)^2\)

Local exponents

≈\(-0.114451-0.474453I\) ≈\(-0.114451+0.474453I\) \(0\) ≈\(0.008199\) \(\frac{ 23}{ 244}\) \(\infty\)
\(0\) \(0\) \(0\) \(0\) \(0\) \(\frac{ 3}{ 4}\)
\(1\) \(1\) \(0\) \(1\) \(1\) \(1\)
\(1\) \(1\) \(0\) \(1\) \(3\) \(1\)
\(2\) \(2\) \(0\) \(2\) \(4\) \(\frac{ 5}{ 4}\)

≈\(-0.114451-0.474453I\)	≈\(-0.114451+0.474453I\)	\(0\)	≈\(0.008199\)	\(\frac{ 23}{ 244}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 3}{ 4}\)
\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(1\)	\(1\)	\(0\)	\(1\)	\(3\)	\(1\)
\(2\)	\(2\)	\(0\)	\(2\)	\(4\)	\(\frac{ 5}{ 4}\)

Note:

This is operator "5.51" from ...

\(C_3\)	\(C_2 H\)	\(H^3\)	\( \vert H \vert\)
\(-74\)	\(62\)	\(23\)	\(9\)

6

New Number: 5.66 | AESZ: 274 | Superseeker: 49/5 6032/15 | Hash: 729d44a3b7b561b49603f26a25d26069

Degree: 5

\(5^{2} \theta^4-5 x\left(757\theta^4+1298\theta^3+1049\theta^2+400\theta+60\right)+2^{2} 3^{2} x^{2}\left(5456\theta^4+17498\theta^3+22121\theta^2+11940\theta+2340\right)-2^{2} 3^{4} x^{3}\left(15128\theta^4+68040\theta^3+112171\theta^2+73845\theta+16380\right)+2^{4} 3^{8} x^{4}(2\theta+1)(216\theta^3+864\theta^2+1015\theta+356)-2^{6} 3^{10} x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 324, 12000, 548100, ...
--> OEIS
Normalized instanton numbers (n₀=1): 49/5, -68/5, 6032/15, 36276/5, 350082/5, ... ; Common denominator:...

Discriminant

\(-(81z-1)(1296z^2-56z+1)(-5+36z)^2\)

Local exponents

\(0\) \(\frac{ 1}{ 81}\) \(\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\) \(\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\) \(\frac{ 5}{ 36}\) \(\infty\)
\(0\) \(0\) \(0\) \(0\) \(0\) \(\frac{ 1}{ 2}\)
\(0\) \(1\) \(1\) \(1\) \(1\) \(\frac{ 2}{ 3}\)
\(0\) \(1\) \(1\) \(1\) \(3\) \(\frac{ 4}{ 3}\)
\(0\) \(2\) \(2\) \(2\) \(4\) \(\frac{ 3}{ 2}\)

\(0\)	\(\frac{ 1}{ 81}\)	\(\frac{ 7}{ 324}-\frac{ 1}{ 81}\sqrt{ 2}I\)	\(\frac{ 7}{ 324}+\frac{ 1}{ 81}\sqrt{ 2}I\)	\(\frac{ 5}{ 36}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(1\)	\(\frac{ 2}{ 3}\)
\(0\)	\(1\)	\(1\)	\(1\)	\(3\)	\(\frac{ 4}{ 3}\)
\(0\)	\(2\)	\(2\)	\(2\)	\(4\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.66" from ...

7

New Number: 6.5 | AESZ: | Superseeker: -11 -3422/3 | Hash: 6a4aeb5833b7673c962d5598842d3f2c

Degree: 6

\(\theta^4-x\left(12+64\theta+125\theta^2+122\theta^3+61\theta^4\right)-2^{3} x^{2}\left(193\theta^4+772\theta^3+1033\theta^2+522\theta+72\right)+2^{9} 3 x^{3}\left(146\theta^4+876\theta^3+1838\theta^2+1572\theta+405\right)-2^{12} 3^{2} x^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)+2^{16} 3^{3} x^{5}(16\theta^2+80\theta+35)(2\theta+5)^2-2^{19} 3^{4} x^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 12, 324, 5760, 215460, ...
--> OEIS
Normalized instanton numbers (n₀=1): -11, 68, -3422/3, 30735, -1014993, ... ; Common denominator:...

Discriminant

\(-(24z-1)(27648z^3-1728z^2+27z+1)(-1+32z)^2\)

Local exponents

≈\(-0.016119\) \(0\) \(\frac{ 1}{ 32}\) ≈\(0.03931-0.026431I\) ≈\(0.03931+0.026431I\) \(\frac{ 1}{ 24}\) \(\infty\)
\(0\) \(0\) \(0\) \(0\) \(0\) \(0\) \(\frac{ 1}{ 2}\)
\(1\) \(0\) \(\frac{ 1}{ 2}\) \(1\) \(1\) \(1\) \(\frac{ 5}{ 2}\)
\(1\) \(0\) \(\frac{ 1}{ 2}\) \(1\) \(1\) \(1\) \(\frac{ 7}{ 2}\)
\(2\) \(0\) \(1\) \(2\) \(2\) \(2\) \(\frac{ 11}{ 2}\)

≈\(-0.016119\)	\(0\)	\(\frac{ 1}{ 32}\)	≈\(0.03931-0.026431I\)	≈\(0.03931+0.026431I\)	\(\frac{ 1}{ 24}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(0\)	\(\frac{ 1}{ 2}\)	\(1\)	\(1\)	\(1\)	\(\frac{ 5}{ 2}\)
\(1\)	\(0\)	\(\frac{ 1}{ 2}\)	\(1\)	\(1\)	\(1\)	\(\frac{ 7}{ 2}\)
\(2\)	\(0\)	\(1\)	\(2\)	\(2\)	\(2\)	\(\frac{ 11}{ 2}\)

Note:

This is operator "6.5" from ...

8

New Number: 8.84 | AESZ: | Superseeker: 1/5 224/5 | Hash: 258fab6f0a4f132fe597fc6f30e54eea

Degree: 8

\(5^{2} \theta^4+5 x\theta^2(-1-2\theta+107\theta^2)+2^{2} x^{2}\left(2174\theta^4+5942\theta^3+8569\theta^2+5200\theta+1200\right)+2^{2} 3^{2} x^{3}\left(308\theta^4-4248\theta^3-17051\theta^2-16785\theta-5280\right)-2^{4} 3^{2} x^{4}\left(7060\theta^4+39500\theta^3+69820\theta^2+52851\theta+14688\right)-2^{6} 3^{4} x^{5}\left(881\theta^4+3974\theta^3+8648\theta^2+7983\theta+2581\right)+2^{7} 3^{4} x^{6}\left(1192\theta^4+2376\theta^3-1132\theta^2-4185\theta-1926\right)+2^{8} 3^{6} x^{7}\left(68\theta^4+568\theta^3+1095\theta^2+811\theta+210\right)-2^{12} 3^{8} x^{8}\left((\theta+1)^4\right)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, 0, -12, 144, 324, ...
--> OEIS
Normalized instanton numbers (n₀=1): 1/5, -6, 224/5, -448/5, -4334/5, ... ; Common denominator:...

Discriminant

\(-(9z-1)(576z^3+368z^2+16z+1)(-5-36z+72z^2)^2\)

Local exponents

≈\(-0.597246\) \(\frac{ 1}{ 4}-\frac{ 1}{ 12}\sqrt{ 19}\) ≈\(-0.020821-0.049733I\) ≈\(-0.020821+0.049733I\) \(0\) \(\frac{ 1}{ 9}\) \(\frac{ 1}{ 4}+\frac{ 1}{ 12}\sqrt{ 19}\) \(\infty\)
\(0\) \(0\) \(0\) \(0\) \(0\) \(0\) \(0\) \(1\)
\(1\) \(1\) \(1\) \(1\) \(0\) \(1\) \(1\) \(1\)
\(1\) \(3\) \(1\) \(1\) \(0\) \(1\) \(3\) \(1\)
\(2\) \(4\) \(2\) \(2\) \(0\) \(2\) \(4\) \(1\)

≈\(-0.597246\)	\(\frac{ 1}{ 4}-\frac{ 1}{ 12}\sqrt{ 19}\)	≈\(-0.020821-0.049733I\)	≈\(-0.020821+0.049733I\)	\(0\)	\(\frac{ 1}{ 9}\)	\(\frac{ 1}{ 4}+\frac{ 1}{ 12}\sqrt{ 19}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)
\(1\)	\(3\)	\(1\)	\(1\)	\(0\)	\(1\)	\(3\)	\(1\)
\(2\)	\(4\)	\(2\)	\(2\)	\(0\)	\(2\)	\(4\)	\(1\)

Note:

This is operator "8.84" from ...

\(3.666666992+1.240581667I\)	\(-.888889273-.413527825I\)	\(.296296213+.137842738I\)	\(-.38694844e-1-.45947515e-1I\)
\(16.000002509-.2845e-5I\)	\(-4.333336913-.1390e-5I\)	\(1.777778225+.1587e-5I\)	\(-.296296073-.137842774I\)
\(48.000008758-.8909e-5I\)	\(-16.000011149-.4045e-5I\)	\(6.333334810+.4721e-5I\)	\(-.888888245-.413528325I\)
\(144.000033661-.28975e-4I\)	\(-48.000035910-.11385e-4I\)	\(16.000005252+.13912e-4I\)	\(-1.666664890-1.240584998I\)

\(5.+.620290874I\)	\(-2-64\lambda\)	\(\frac{ 7}{ 9}+\frac{ 224}{ 9}\lambda\)	\(-.216878323-.68921208e-1I\)
\(14\)	\(-6\)	\(\frac{ 49}{ 18}\)	\(-\frac{ 7}{ 9}-\frac{ 224}{ 9}\lambda\)
\(36\)	\(-18\)	\(8\)	\(-2-64\lambda\)
\(72\)	\(-36\)	\(14\)	\(-3.-.620290874I\)

\(-4-\frac{ 310145437}{ 500000000}I\)	\(8\)	\(\frac{ 1}{ 2}\)	\(1\)
\(-14\)	\(0\)	\(-1\)	\(0\)
\(-36\)	\(72\)	\(0\)	\(0\)
\(-72\)	\(0\)	\(0\)	\(0\)

Calabi-Yau differential operator database v.3

Summary

Discriminant

Local exponents

Note:

Explicit solution

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Explicit solution

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Characteristic classes:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice

Discriminant

Local exponents

Note:

Monodromy (with respect to Frobenius basis)

Basis of the Doran-Morgan lattice