Calabi-Yau differential operator database v.3.0

1

New Number: 3.25 | AESZ: | Superseeker: -2 -308/3 | Hash: 287da3a26b0da679d81da411b46958d1

Degree: 3

$\theta^4+2 x(2\theta+1)^2(7\theta^2+7\theta+3)+2^{2} x^{2}(2\theta+1)(2\theta+3)(29\theta^2+58\theta+33)+2^{4} 3 5 x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 90, -2100, 59850, ...
--> OEIS
Normalized instanton numbers (n₀=1): -2, 12, -308/3, 1058, -71158/5, ... ; Common denominator:...

Discriminant

$(48z+1)(80z^2+8z+1)$

Local exponents

$-\frac{ 1}{ 20}-\frac{ 1}{ 10}I$ $-\frac{ 1}{ 20}+\frac{ 1}{ 10}I$ $-\frac{ 1}{ 48}$ $0$ $\infty$
$0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $1$ $0$ $\frac{ 3}{ 2}$
$1$ $1$ $1$ $0$ $\frac{ 3}{ 2}$
$2$ $2$ $2$ $0$ $\frac{ 5}{ 2}$

\(-\frac{ 1}{ 20}-\frac{ 1}{ 10}I\)	\(-\frac{ 1}{ 20}+\frac{ 1}{ 10}I\)	\(-\frac{ 1}{ 48}\)	\(0\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(\frac{ 3}{ 2}\)
\(1\)	\(1\)	\(1\)	\(0\)	\(\frac{ 3}{ 2}\)
\(2\)	\(2\)	\(2\)	\(0\)	\(\frac{ 5}{ 2}\)

Note:

This is operator $\tilde{C_17}$

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

2

New Number: 5.27 | AESZ: 202 | Superseeker: -113/19 -8515/19 | Hash: 3bf3c283277de7b3808ad309fac9b7a1

Degree: 5

$19^{2} \theta^4+19 x\left(1370\theta^4+2620\theta^3+2089\theta^2+779\theta+114\right)+x^{2}\left(39521\theta^4-3916\theta^3-106779\theta^2-95266\theta-25384\right)-2^{3} x^{3}\left(1649\theta^4+19779\theta^3+29667\theta^2+17613\theta+3876\right)-2^{4} 5 x^{4}(\theta+1)(499\theta^3+1411\theta^2+1378\theta+456)-2^{9} 5^{2} x^{5}\left((\theta+1)^4\right)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 142, -4920, 205326, ...
--> OEIS
Normalized instanton numbers (n₀=1): -113/19, 2921/76, -8515/19, 146869/19, -3105422/19, ... ; Common denominator:...

Discriminant

$-(z-1)(32z^2+71z+1)(19+20z)^2$

Local exponents

$-\frac{ 71}{ 64}-\frac{ 17}{ 64}\sqrt{ 17}$ $-\frac{ 19}{ 20}$ $-\frac{ 71}{ 64}+\frac{ 17}{ 64}\sqrt{ 17}$ $0$ $1$ $\infty$
$0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $1$ $0$ $1$ $1$
$1$ $3$ $1$ $0$ $1$ $1$
$2$ $4$ $2$ $0$ $2$ $1$

\(-\frac{ 71}{ 64}-\frac{ 17}{ 64}\sqrt{ 17}\)	\(-\frac{ 19}{ 20}\)	\(-\frac{ 71}{ 64}+\frac{ 17}{ 64}\sqrt{ 17}\)	\(0\)	\(1\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)
\(1\)	\(3\)	\(1\)	\(0\)	\(1\)	\(1\)
\(2\)	\(4\)	\(2\)	\(0\)	\(2\)	\(1\)

Note:

There is a second MUM-point at infinity, corresponding to Operator AESZ 203/5.28

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

3

New Number: 5.99 | AESZ: 342 | Superseeker: -4 3856/9 | Hash: 009a00efdd065ef9ea58db999d777786

Degree: 5

$\theta^4+2 x\left(50\theta^4+64\theta^3+52\theta^2+20\theta+3\right)+2^{2} 3 x^{2}\left(380\theta^4+992\theta^3+1166\theta^2+612\theta+117\right)+2^{2} 3^{2} x^{3}\left(2140\theta^4+5832\theta^3+5651\theta^2+2349\theta+360\right)+2^{4} 3^{6} x^{4}(2\theta+1)(20\theta^3+42\theta^2+35\theta+11)+2^{6} 3^{7} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 54, 660, -69930, ...
--> OEIS
Normalized instanton numbers (n₀=1): -4, -16, 3856/9, -3864, -20784, ... ; Common denominator:...

Discriminant

$(3888z^3+2592z^2+76z+1)(1+12z)^2$

Local exponents

≈$-0.636595$ $-\frac{ 1}{ 12}$ ≈$-0.015036-0.01334I$ ≈$-0.015036+0.01334I$ $0$ $\infty$
$0$ $0$ $0$ $0$ $0$ $\frac{ 1}{ 2}$
$1$ $1$ $1$ $1$ $0$ $1$
$1$ $3$ $1$ $1$ $0$ $1$
$2$ $4$ $2$ $2$ $0$ $\frac{ 3}{ 2}$

≈\(-0.636595\)	\(-\frac{ 1}{ 12}\)	≈\(-0.015036-0.01334I\)	≈\(-0.015036+0.01334I\)	\(0\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 1}{ 2}\)
\(1\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)
\(1\)	\(3\)	\(1\)	\(1\)	\(0\)	\(1\)
\(2\)	\(4\)	\(2\)	\(2\)	\(0\)	\(\frac{ 3}{ 2}\)

Note:

This is operator "5.99" from ...

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

4

New Number: 11.1 | AESZ: | Superseeker: -4 550/3 | Hash: 9e36d74a520997fe52f0cbbfafae6aaf

Degree: 11

$\theta^4+x\left(6+38\theta+96\theta^2+116\theta^3+91\theta^4\right)+x^{2}\left(1218+5950\theta+11076\theta^2+9388\theta^3+3649\theta^4\right)+x^{3}\left(32814+148542\theta+258070\theta^2+203832\theta^3+63585\theta^4\right)+2 x^{4}\left(244543\theta^4+938432\theta^3+1417427\theta^2+933049\theta+226317\right)+2^{2} x^{5}\left(374407\theta^4+1908784\theta^3+3407293\theta^2+2501538\theta+653454\right)+2^{2} 3 x^{6}\left(130530\theta^4+686256\theta^3+1382165\theta^2+1159645\theta+333030\right)+2^{3} x^{7}\left(276464\theta^4-92912\theta^3-3194335\theta^2-3755703\theta-1224450\right)+2^{4} x^{8}\left(341712\theta^4+1614816\theta^3+1576879\theta^2+219863\theta-145632\right)-2^{5} x^{9}\left(29968\theta^4+412128\theta^3+489227\theta^2+156573\theta-3258\right)+2^{8} 3 x^{10}\left(6368\theta^4+13600\theta^3+11014\theta^2+4187\theta+681\right)-2^{11} 3^{2} x^{11}(4\theta+3)(\theta+1)^2(4\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 54, 12, -26010, ...
--> OEIS
Normalized instanton numbers (n₀=1): -4, -11, 550/3, -2965/2, -3316, ... ; Common denominator:...

Discriminant

$-(4z+1)(3z+1)(96z^3-1576z^2-62z-1)(1+11z-6z^2+16z^3)^2$

Local exponents

$-\frac{ 1}{ 3}$ $-\frac{ 1}{ 4}$ ≈$-0.085955$ ≈$-0.019642-0.015722I$ ≈$-0.019642+0.015722I$ $0$ ≈$0.230478-0.820976I$ ≈$0.230478+0.820976I$ ≈$16.455951$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $\frac{ 3}{ 4}$
$1$ $1$ $1$ $1$ $1$ $0$ $1$ $1$ $1$ $1$
$1$ $1$ $3$ $1$ $1$ $0$ $3$ $3$ $1$ $1$
$2$ $2$ $4$ $2$ $2$ $0$ $4$ $4$ $2$ $\frac{ 5}{ 4}$

\(-\frac{ 1}{ 3}\)	\(-\frac{ 1}{ 4}\)	≈\(-0.085955\)	≈\(-0.019642-0.015722I\)	≈\(-0.019642+0.015722I\)	\(0\)	≈\(0.230478-0.820976I\)	≈\(0.230478+0.820976I\)	≈\(16.455951\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 3}{ 4}\)
\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)	\(1\)	\(1\)
\(1\)	\(1\)	\(3\)	\(1\)	\(1\)	\(0\)	\(3\)	\(3\)	\(1\)	\(1\)
\(2\)	\(2\)	\(4\)	\(2\)	\(2\)	\(0\)	\(4\)	\(4\)	\(2\)	\(\frac{ 5}{ 4}\)

Note:

This is operator "11.1" from ...

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

5

New Number: 12.7 | AESZ: | Superseeker: -24/7 117 | Hash: fedf397077a0af56af404f5156e1b5c0

Degree: 12

$7^{2} \theta^4+2 3 7 x\left(111\theta^4+120\theta^3+102\theta^2+42\theta+7\right)+2^{2} 3 x^{2}\left(16827\theta^4+34008\theta^3+38464\theta^2+20846\theta+4494\right)+3^{3} x^{3}\left(178553\theta^4+439878\theta^3+528099\theta^2+313502\theta+74536\right)+2 3^{3} x^{4}\left(1355053\theta^4+3438698\theta^3+3854711\theta^2+2221354\theta+519896\right)+2^{2} 3^{4} x^{5}\left(2406561\theta^4+5708802\theta^3+5082043\theta^2+2161754\theta+336752\right)+2^{3} 3^{5} x^{6}\left(3133411\theta^4+6625998\theta^3+4266961\theta^2+238710\theta-485736\right)+2^{6} 3^{6} x^{7}\left(746186\theta^4+1366021\theta^3+743388\theta^2-203279\theta-212552\right)+2^{7} 3^{7} x^{8}\left(506499\theta^4+760668\theta^3+404459\theta^2-112958\theta-117216\right)+2^{11} 3^{8} x^{9}\left(27992\theta^4+34962\theta^3+7197\theta^2-14685\theta-7604\right)+2^{14} 3^{9} x^{10}\left(1381\theta^4+1244\theta^3-2460\theta^2-4030\theta-1571\right)-2^{18} 3^{10} x^{11}(22\theta^2+98\theta+105)(\theta+1)^2-2^{22} 3^{11} x^{12}(\theta+1)^2(\theta+2)^2$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 54, -276, -8442, ...
--> OEIS
Normalized instanton numbers (n₀=1): -24/7, -24/7, 117, -564, 948/7, ... ; Common denominator:...

Discriminant

$-(6z+1)(10368z^5-864z^4-7371z^3-1440z^2-60z-1)(7+102z+648z^2+3456z^3)^2$

Local exponents

$-\frac{ 1}{ 6}$ ≈$-0.097659$ ≈$-0.04492-0.136829I$ ≈$-0.04492+0.136829I$ $0$ $#ND+#NDI$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $1$ $1$ $0$ $1$ $1$
$1$ $3$ $3$ $3$ $0$ $1$ $2$
$2$ $4$ $4$ $4$ $0$ $2$ $2$

\(-\frac{ 1}{ 6}\)	≈\(-0.097659\)	≈\(-0.04492-0.136829I\)	≈\(-0.04492+0.136829I\)	\(0\)	\(#ND+#NDI\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)	\(1\)
\(1\)	\(3\)	\(3\)	\(3\)	\(0\)	\(1\)	\(2\)
\(2\)	\(4\)	\(4\)	\(4\)	\(0\)	\(2\)	\(2\)

Note:

This is operator "12.7" from ...

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

6

New Number: 13.7 | AESZ: | Superseeker: 10 7709/9 | Hash: 47093f7f3b7ab4544ef6b418bdae778b

Degree: 13

\(\theta^4+x\left(127\theta^4-2\theta^3+22\theta^2+23\theta+6\right)+x^{2}\left(4803\theta^4+1644\theta^3+3459\theta^2+430\theta-384\right)+2^{3} x^{3}\left(2507\theta^4+8118\theta^3-2448\theta^2-7127\theta-2940\right)-2^{4} x^{4}\left(94175\theta^4+88358\theta^3+133418\theta^2+111507\theta+38898\right)+2^{6} 3 x^{5}\left(22347\theta^4+197706\theta^3+783766\theta^2+893091\theta+359952\right)+2^{6} 3^{2} x^{6}\left(869067\theta^4+4718208\theta^3+11162457\theta^2+11758320\theta+4583500\right)-2^{9} 3^{3} x^{7}\left(245985\theta^4+1338174\theta^3+3414812\theta^2+4418167\theta+2103502\right)-2^{12} 3^{4} x^{8}\left(234234\theta^4+2167368\theta^3+7012373\theta^2+9416514\theta+4375751\right)+2^{15} 3^{5} x^{9}\left(81234\theta^4+643380\theta^3+1815861\theta^2+2193249\theta+947968\right)+2^{18} 3^{6} x^{10}(\theta+1)(15879\theta^3+214401\theta^2+816191\theta+896789)-2^{21} 3^{7} x^{11}(\theta+1)(\theta+2)(8037\theta^2+71103\theta+151546)+2^{27} 3^{9} x^{12}(\theta+3)(\theta+2)(\theta+1)(31\theta+152)-2^{29} 3^{9} 5 x^{13}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 90, -1368, 21546, ...
--> OEIS
Normalized instanton numbers (n₀=1): 10, -149/2, 7709/9, -27333/2, 242829, ... ; Common denominator:...

Discriminant

$-(16z+1)(2160z^3+27z^2-9z+1)(24z+1)^2(72z^2-48z-1)^2(8z-1)^3$

Local exponents

≈$-0.100198$ $-\frac{ 1}{ 16}$ $-\frac{ 1}{ 24}$ $\frac{ 1}{ 3}-\frac{ 1}{ 4}\sqrt{ 2}$ $0$ ≈$0.043849-0.05194I$ ≈$0.043849+0.05194I$ $\frac{ 1}{ 8}$ $\frac{ 1}{ 3}+\frac{ 1}{ 4}\sqrt{ 2}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $1$ $\frac{ 1}{ 2}$ $1$ $0$ $1$ $1$ $\frac{ 1}{ 2}$ $1$ $2$
$1$ $1$ $\frac{ 1}{ 2}$ $3$ $0$ $1$ $1$ $\frac{ 3}{ 2}$ $3$ $3$
$2$ $2$ $1$ $4$ $0$ $2$ $2$ $2$ $4$ $4$

≈\(-0.100198\)	\(-\frac{ 1}{ 16}\)	\(-\frac{ 1}{ 24}\)	\(\frac{ 1}{ 3}-\frac{ 1}{ 4}\sqrt{ 2}\)	\(0\)	≈\(0.043849-0.05194I\)	≈\(0.043849+0.05194I\)	\(\frac{ 1}{ 8}\)	\(\frac{ 1}{ 3}+\frac{ 1}{ 4}\sqrt{ 2}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(1\)	\(\frac{ 1}{ 2}\)	\(1\)	\(0\)	\(1\)	\(1\)	\(\frac{ 1}{ 2}\)	\(1\)	\(2\)
\(1\)	\(1\)	\(\frac{ 1}{ 2}\)	\(3\)	\(0\)	\(1\)	\(1\)	\(\frac{ 3}{ 2}\)	\(3\)	\(3\)
\(2\)	\(2\)	\(1\)	\(4\)	\(0\)	\(2\)	\(2\)	\(2\)	\(4\)	\(4\)

Note:

This is operator "13.7" from ...

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

7

New Number: 6.21 | AESZ: | Superseeker: 1 11 | Hash: 319d6b2f1541de5252840442cc6f8dcd

Degree: 6

$\theta^4+x\left(6+27\theta+47\theta^2+40\theta^3+20\theta^4\right)-x^{2}(143\theta^2+286\theta+120)(\theta+1)^2-2 3^{2} x^{3}(\theta+2)(\theta+1)(291\theta^2+873\theta+766)-2^{2} 3^{3} 5 x^{4}(\theta+3)(\theta+1)(41\theta^2+164\theta+196)+2^{3} 3^{3} 5^{2} x^{5}(\theta+4)(\theta+1)(29\theta^2+145\theta+150)+2^{5} 3^{5} 5^{3} x^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 60, -480, 5040, ...
--> OEIS
Normalized instanton numbers (n₀=1): 1, 13/4, 11, 50, 1674/5, ... ; Common denominator:...

Discriminant

$(6z-1)(15z-1)(9z+1)(12z+1)(10z+1)^2$

Local exponents

$-\frac{ 1}{ 9}$ $-\frac{ 1}{ 10}$ $-\frac{ 1}{ 12}$ $0$ $\frac{ 1}{ 15}$ $\frac{ 1}{ 6}$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $1$
$1$ $\frac{ 1}{ 2}$ $1$ $0$ $1$ $1$ $2$
$1$ $\frac{ 1}{ 2}$ $1$ $0$ $1$ $1$ $4$
$2$ $1$ $2$ $0$ $2$ $2$ $5$

\(-\frac{ 1}{ 9}\)	\(-\frac{ 1}{ 10}\)	\(-\frac{ 1}{ 12}\)	\(0\)	\(\frac{ 1}{ 15}\)	\(\frac{ 1}{ 6}\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(1\)
\(1\)	\(\frac{ 1}{ 2}\)	\(1\)	\(0\)	\(1\)	\(1\)	\(2\)
\(1\)	\(\frac{ 1}{ 2}\)	\(1\)	\(0\)	\(1\)	\(1\)	\(4\)
\(2\)	\(1\)	\(2\)	\(0\)	\(2\)	\(2\)	\(5\)

Note:

This is operator "6.21" from ...

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

8

New Number: 8.39 | AESZ: | Superseeker: -12/5 136/3 | Hash: c1330764e09752f7bb8e86b15541c588

Degree: 8

$5^{2} \theta^4+2 3 5 x\left(51\theta^4+84\theta^3+72\theta^2+30\theta+5\right)+2^{2} 3 x^{2}\left(3297\theta^4+10236\theta^3+13562\theta^2+8110\theta+1830\right)+2^{2} 3^{3} x^{3}\left(3866\theta^4+14088\theta^3+21137\theta^2+14355\theta+3600\right)+2^{3} 3^{3} x^{4}\left(11680\theta^4+38792\theta^3+45641\theta^2+24205\theta+4854\right)+2^{4} 3^{5} x^{5}\left(2624\theta^4+8240\theta^3+8275\theta^2+2971\theta+216\right)+2^{5} 3^{5} x^{6}\left(3248\theta^4+8832\theta^3+9739\theta^2+4803\theta+882\right)+2^{7} 3^{7} x^{7}\left(144\theta^4+384\theta^3+428\theta^2+233\theta+51\right)+2^{9} 3^{7} x^{8}(4\theta+3)(\theta+1)^2(4\theta+5)$

Maple LaTex

Coefficients of the holomorphic solution: 1, -6, 54, -348, -3690, ...
--> OEIS
Normalized instanton numbers (n₀=1): -12/5, -21/5, 136/3, -1743/10, -1056/5, ... ; Common denominator:...

Discriminant

$(1+54z+1152z^2+6048z^3+3456z^4)(5+18z+72z^2)^2$

Local exponents

≈$-1.540068$ ≈$-0.152177$ $-\frac{ 1}{ 8}-\frac{ 1}{ 24}\sqrt{ 31}I$ $-\frac{ 1}{ 8}+\frac{ 1}{ 24}\sqrt{ 31}I$ ≈$-0.028878$ ≈$-0.028878$ $0$ $\infty$
$0$ $0$ $0$ $0$ $0$ $0$ $0$ $\frac{ 3}{ 4}$
$1$ $1$ $1$ $1$ $1$ $1$ $0$ $1$
$1$ $1$ $3$ $3$ $1$ $1$ $0$ $1$
$2$ $2$ $4$ $4$ $2$ $2$ $0$ $\frac{ 5}{ 4}$

≈\(-1.540068\)	≈\(-0.152177\)	\(-\frac{ 1}{ 8}-\frac{ 1}{ 24}\sqrt{ 31}I\)	\(-\frac{ 1}{ 8}+\frac{ 1}{ 24}\sqrt{ 31}I\)	≈\(-0.028878\)	≈\(-0.028878\)	\(0\)	\(\infty\)
\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(0\)	\(\frac{ 3}{ 4}\)
\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(0\)	\(1\)
\(1\)	\(1\)	\(3\)	\(3\)	\(1\)	\(1\)	\(0\)	\(1\)
\(2\)	\(2\)	\(4\)	\(4\)	\(2\)	\(2\)	\(0\)	\(\frac{ 5}{ 4}\)

Note:

This is operator "8.39" from ...

Calabi-Yau differential operator database v.3

Summary

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

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

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