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Orbit label | Conrey labels | Modulus | Conductor | Order | Value field | Parity | Real | Primitive | Minimal |
---|---|---|---|---|---|---|---|---|---|
1.a | $1$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ✓ | |
2.a | $2$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
3.a | $3$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
3.b | $3$ | $3$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ✓ | |
4.a | $4$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
4.b | $4$ | $4$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ✓ | |
5.a | $5$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
5.b | $5$ | $5$ | $2$ | \(\Q\) | even | ✓ | ✓ | ✓ | |
5.c | $5$ | $5$ | $4$ | \(\mathbb{Q}(i)\) | odd | ✓ | ✓ | ||
6.a | $6$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
6.b | $6$ | $3$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ||
7.a | $7$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
7.b | $7$ | $7$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ✓ | |
7.c | $7$ | $7$ | $3$ | \(\mathbb{Q}(\zeta_3)\) | even | ✓ | ✓ | ||
7.d | $7$ | $7$ | $6$ | \(\mathbb{Q}(\zeta_3)\) | odd | ✓ | ✓ | ||
8.a | $8$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
8.b | $8$ | $8$ | $2$ | \(\Q\) | even | ✓ | ✓ | ✓ | |
8.c | $8$ | $4$ | $2$ | \(\Q\) | odd | ✓ | |||
8.d | $8$ | $8$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ✓ | |
9.a | $9$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
9.b | $9$ | $3$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ||
9.c | $9$ | $9$ | $3$ | \(\mathbb{Q}(\zeta_3)\) | even | ✓ | ✓ | ||
9.d | $9$ | $9$ | $6$ | \(\mathbb{Q}(\zeta_3)\) | odd | ✓ | ✓ | ||
10.a | $10$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
10.b | $10$ | $5$ | $2$ | \(\Q\) | even | ✓ | ✓ | ||
10.c | $10$ | $5$ | $4$ | \(\mathbb{Q}(i)\) | odd | ✓ | |||
11.a | $11$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
11.b | $11$ | $11$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ✓ | |
11.c | \(\chi_{11}(3, \cdot)\)$, \cdots ,$\(\chi_{11}(9, \cdot)\) |
$11$ | $11$ | $5$ | \(\Q(\zeta_{5})\) | even | ✓ | ✓ | |
11.d | \(\chi_{11}(2, \cdot)\)$, \cdots ,$\(\chi_{11}(8, \cdot)\) |
$11$ | $11$ | $10$ | \(\Q(\zeta_{5})\) | odd | ✓ | ✓ | |
12.a | $12$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
12.b | $12$ | $12$ | $2$ | \(\Q\) | even | ✓ | ✓ | ✓ | |
12.c | $12$ | $3$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ||
12.d | $12$ | $4$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ||
13.a | $13$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
13.b | $13$ | $13$ | $2$ | \(\Q\) | even | ✓ | ✓ | ✓ | |
13.c | $13$ | $13$ | $3$ | \(\mathbb{Q}(\zeta_3)\) | even | ✓ | ✓ | ||
13.d | $13$ | $13$ | $4$ | \(\mathbb{Q}(i)\) | odd | ✓ | ✓ | ||
13.e | $13$ | $13$ | $6$ | \(\mathbb{Q}(\zeta_3)\) | even | ✓ | ✓ | ||
13.f | \(\chi_{13}(2, \cdot)\)$, \cdots ,$\(\chi_{13}(11, \cdot)\) |
$13$ | $13$ | $12$ | \(\Q(\zeta_{12})\) | odd | ✓ | ✓ | |
14.a | $14$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
14.b | $14$ | $7$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ||
14.c | $14$ | $7$ | $3$ | \(\mathbb{Q}(\zeta_3)\) | even | ✓ | |||
14.d | $14$ | $7$ | $6$ | \(\mathbb{Q}(\zeta_3)\) | odd | ✓ | |||
15.a | $15$ | $1$ | $1$ | \(\Q\) | even | ✓ | ✓ | ||
15.b | $15$ | $5$ | $2$ | \(\Q\) | even | ✓ | ✓ | ||
15.c | $15$ | $3$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ||
15.d | $15$ | $15$ | $2$ | \(\Q\) | odd | ✓ | ✓ | ✓ | |
15.e | $15$ | $15$ | $4$ | \(\mathbb{Q}(i)\) | even | ✓ | ✓ | ||
15.f | $15$ | $5$ | $4$ | \(\mathbb{Q}(i)\) | odd | ✓ |