| Label |
$\alpha$ |
$A$ |
$d$ |
$N$ |
$\chi$ |
$\mu$ |
$\nu$ |
$w$ |
prim |
$\epsilon$ |
$r$ |
First zero |
Origin |
| 8-312e4-1.1-c0e4-0-0 |
$0.394$ |
$0.000587$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$0.0, 0.0, 0.0, 0.0$ |
0 |
|
$1$ |
$0$ |
$1.16159$ |
Modular form 312.1.b.a |
| 8-312e4-1.1-c1e4-0-0 |
$1.57$ |
$38.5$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$1.0, 1.0, 1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.679530$ |
Modular form 312.2.q.d |
| 8-312e4-1.1-c1e4-0-1 |
$1.57$ |
$38.5$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$1.0, 1.0, 1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$0.907048$ |
Modular form 312.2.bt.b |
| 8-312e4-1.1-c1e4-0-2 |
$1.57$ |
$38.5$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$1.0, 1.0, 1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.10972$ |
Modular form 312.2.bf.a |
| 8-312e4-1.1-c1e4-0-3 |
$1.57$ |
$38.5$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$1.0, 1.0, 1.0, 1.0$ |
$1$ |
|
$1$ |
$0$ |
$1.22947$ |
Modular form 312.2.x.a |
| 8-312e4-1.1-c1e4-0-4 |
$1.57$ |
$38.5$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$1.0, 1.0, 1.0, 1.0$ |
$1$ |
|
$1$ |
$4$ |
$1.86983$ |
Modular form 312.2.bt.a |
| 8-312e4-1.1-c2e4-0-0 |
$2.91$ |
$5.22\times 10^{3}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$2.0, 2.0, 2.0, 2.0$ |
$2$ |
|
$1$ |
$0$ |
$0.236743$ |
Modular form 312.3.b.g |
| 8-312e4-1.1-c2e4-0-1 |
$2.91$ |
$5.22\times 10^{3}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$2.0, 2.0, 2.0, 2.0$ |
$2$ |
|
$1$ |
$0$ |
$0.386292$ |
Modular form 312.3.b.e |
| 8-312e4-1.1-c2e4-0-2 |
$2.91$ |
$5.22\times 10^{3}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$2.0, 2.0, 2.0, 2.0$ |
$2$ |
|
$1$ |
$0$ |
$0.637285$ |
Modular form 312.3.b.f |
| 8-312e4-1.1-c2e4-0-3 |
$2.91$ |
$5.22\times 10^{3}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$2.0, 2.0, 2.0, 2.0$ |
$2$ |
|
$1$ |
$0$ |
$0.944041$ |
Modular form 312.3.b.h |
| 8-312e4-1.1-c3e4-0-0 |
$4.29$ |
$1.14\times 10^{5}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$3.0, 3.0, 3.0, 3.0$ |
$3$ |
|
$1$ |
$0$ |
$0.107343$ |
Modular form 312.4.q.a |
| 8-312e4-1.1-c5e4-0-0 |
$7.07$ |
$6.26\times 10^{6}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$5.0, 5.0, 5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.565141$ |
Modular form 312.6.a.i |
| 8-312e4-1.1-c5e4-0-1 |
$7.07$ |
$6.26\times 10^{6}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$5.0, 5.0, 5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.582454$ |
Modular form 312.6.a.f |
| 8-312e4-1.1-c5e4-0-2 |
$7.07$ |
$6.26\times 10^{6}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$5.0, 5.0, 5.0, 5.0$ |
$5$ |
|
$1$ |
$0$ |
$0.627489$ |
Modular form 312.6.a.j |
| 8-312e4-1.1-c5e4-0-3 |
$7.07$ |
$6.26\times 10^{6}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$5.0, 5.0, 5.0, 5.0$ |
$5$ |
|
$1$ |
$4$ |
$1.21226$ |
Modular form 312.6.a.g |
| 8-312e4-1.1-c5e4-0-4 |
$7.07$ |
$6.26\times 10^{6}$ |
$8$ |
$2^{12} \cdot 3^{4} \cdot 13^{4}$ |
1.1 |
|
$5.0, 5.0, 5.0, 5.0$ |
$5$ |
|
$1$ |
$4$ |
$1.53675$ |
Modular form 312.6.a.h |
