Dirichlet character \(\chi_{7935}(1427,\cdot)\)

• Label: 7935.1427
• Modulus: $7935$
• Conductor: $7935$
• Order: $92$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(7935\)
Conductor:	\(7935\)
Order:	\(92\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 7935.bj

\(\chi_{7935}(47,\cdot)\) \(\chi_{7935}(323,\cdot)\) \(\chi_{7935}(392,\cdot)\) \(\chi_{7935}(668,\cdot)\) \(\chi_{7935}(737,\cdot)\) \(\chi_{7935}(1013,\cdot)\) \(\chi_{7935}(1082,\cdot)\) \(\chi_{7935}(1358,\cdot)\) \(\chi_{7935}(1427,\cdot)\) \(\chi_{7935}(1703,\cdot)\) \(\chi_{7935}(1772,\cdot)\) \(\chi_{7935}(2048,\cdot)\) \(\chi_{7935}(2393,\cdot)\) \(\chi_{7935}(2462,\cdot)\) \(\chi_{7935}(2738,\cdot)\) \(\chi_{7935}(2807,\cdot)\) \(\chi_{7935}(3083,\cdot)\) \(\chi_{7935}(3152,\cdot)\) \(\chi_{7935}(3428,\cdot)\) \(\chi_{7935}(3497,\cdot)\) \(\chi_{7935}(3773,\cdot)\) \(\chi_{7935}(3842,\cdot)\) \(\chi_{7935}(4118,\cdot)\) \(\chi_{7935}(4187,\cdot)\) \(\chi_{7935}(4463,\cdot)\) \(\chi_{7935}(4532,\cdot)\) \(\chi_{7935}(4808,\cdot)\) \(\chi_{7935}(4877,\cdot)\) \(\chi_{7935}(5153,\cdot)\) \(\chi_{7935}(5222,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{92})$
Fixed field:	Number field defined by a degree 92 polynomial

Values on generators

\((5291,4762,7411)\) → \((-1,i,e\left(\frac{11}{23}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 7935 }(1427, a) \)	\(1\)	\(1\)	\(e\left(\frac{37}{92}\right)\)	\(e\left(\frac{37}{46}\right)\)	\(e\left(\frac{87}{92}\right)\)	\(e\left(\frac{19}{92}\right)\)	\(e\left(\frac{11}{46}\right)\)	\(e\left(\frac{57}{92}\right)\)	\(e\left(\frac{8}{23}\right)\)	\(e\left(\frac{14}{23}\right)\)	\(e\left(\frac{57}{92}\right)\)	\(e\left(\frac{7}{46}\right)\)