Dirichlet character \(\chi_{9025}(388,\cdot)\)

• Label: 9025.388
• Modulus: $9025$
• Conductor: $9025$
• Order: $1140$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(9025\)
Conductor:	\(9025\)
Order:	\(1140\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 9025.cn

\(\chi_{9025}(8,\cdot)\) \(\chi_{9025}(12,\cdot)\) \(\chi_{9025}(27,\cdot)\) \(\chi_{9025}(88,\cdot)\) \(\chi_{9025}(103,\cdot)\) \(\chi_{9025}(122,\cdot)\) \(\chi_{9025}(183,\cdot)\) \(\chi_{9025}(198,\cdot)\) \(\chi_{9025}(202,\cdot)\) \(\chi_{9025}(217,\cdot)\) \(\chi_{9025}(278,\cdot)\) \(\chi_{9025}(297,\cdot)\) \(\chi_{9025}(312,\cdot)\) \(\chi_{9025}(373,\cdot)\) \(\chi_{9025}(388,\cdot)\) \(\chi_{9025}(392,\cdot)\) \(\chi_{9025}(483,\cdot)\) \(\chi_{9025}(487,\cdot)\) \(\chi_{9025}(502,\cdot)\) \(\chi_{9025}(563,\cdot)\) \(\chi_{9025}(578,\cdot)\) \(\chi_{9025}(597,\cdot)\) \(\chi_{9025}(658,\cdot)\) \(\chi_{9025}(673,\cdot)\) \(\chi_{9025}(677,\cdot)\) \(\chi_{9025}(692,\cdot)\) \(\chi_{9025}(753,\cdot)\) \(\chi_{9025}(772,\cdot)\) \(\chi_{9025}(787,\cdot)\) \(\chi_{9025}(848,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{1140})$
Fixed field:	Number field defined by a degree 1140 polynomial (not computed)

Values on generators

\((5777,3251)\) → \((e\left(\frac{19}{20}\right),e\left(\frac{25}{114}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 9025 }(388, a) \)	\(1\)	\(1\)	\(e\left(\frac{193}{1140}\right)\)	\(e\left(\frac{151}{1140}\right)\)	\(e\left(\frac{193}{570}\right)\)	\(e\left(\frac{86}{285}\right)\)	\(e\left(\frac{49}{76}\right)\)	\(e\left(\frac{193}{380}\right)\)	\(e\left(\frac{151}{570}\right)\)	\(e\left(\frac{54}{95}\right)\)	\(e\left(\frac{179}{380}\right)\)	\(e\left(\frac{227}{1140}\right)\)