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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Results (12 matches)

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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
57.a

\(\chi_{57}(1, \cdot)\)

$57$ $1$ $1$ \(\Q\) even ✓ ✓
57.b

\(\chi_{57}(20, \cdot)\)

$57$ $3$ $2$ \(\Q\) odd ✓ ✓
57.c

\(\chi_{57}(37, \cdot)\)

$57$ $19$ $2$ \(\Q\) odd ✓ ✓
57.d

\(\chi_{57}(56, \cdot)\)

$57$ $57$ $2$ \(\Q\) even ✓ ✓ ✓
57.e

\(\chi_{57}(7, \cdot)\)$,$ \(\chi_{57}(49, \cdot)\)

$57$ $19$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓
57.f

\(\chi_{57}(8, \cdot)\)$,$ \(\chi_{57}(50, \cdot)\)

$57$ $57$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
57.g

\(\chi_{57}(31, \cdot)\)$,$ \(\chi_{57}(46, \cdot)\)

$57$ $19$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓
57.h

\(\chi_{57}(11, \cdot)\)$,$ \(\chi_{57}(26, \cdot)\)

$57$ $57$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
57.i

\(\chi_{57}(4, \cdot)\)$, \cdots ,$\(\chi_{57}(55, \cdot)\)

$57$ $19$ $9$ \(\Q(\zeta_{9})\) even ✓
57.j

\(\chi_{57}(2, \cdot)\)$, \cdots ,$\(\chi_{57}(53, \cdot)\)

$57$ $57$ $18$ \(\Q(\zeta_{9})\) even ✓ ✓
57.k

\(\chi_{57}(10, \cdot)\)$, \cdots ,$\(\chi_{57}(52, \cdot)\)

$57$ $19$ $18$ \(\Q(\zeta_{9})\) odd ✓
57.l

\(\chi_{57}(5, \cdot)\)$, \cdots ,$\(\chi_{57}(47, \cdot)\)

$57$ $57$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
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