Dirichlet character \(\chi_{4729}(1062,\cdot)\)

• Label: 4729.1062
• Modulus: $4729$
• Conductor: $4729$
• Order: $1182$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4729\)
Conductor:	\(4729\)
Order:	\(1182\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4729.m

\(\chi_{4729}(10,\cdot)\) \(\chi_{4729}(13,\cdot)\) \(\chi_{4729}(15,\cdot)\) \(\chi_{4729}(25,\cdot)\) \(\chi_{4729}(49,\cdot)\) \(\chi_{4729}(56,\cdot)\) \(\chi_{4729}(76,\cdot)\) \(\chi_{4729}(84,\cdot)\) \(\chi_{4729}(97,\cdot)\) \(\chi_{4729}(114,\cdot)\) \(\chi_{4729}(126,\cdot)\) \(\chi_{4729}(140,\cdot)\) \(\chi_{4729}(142,\cdot)\) \(\chi_{4729}(146,\cdot)\) \(\chi_{4729}(148,\cdot)\) \(\chi_{4729}(149,\cdot)\) \(\chi_{4729}(160,\cdot)\) \(\chi_{4729}(171,\cdot)\) \(\chi_{4729}(179,\cdot)\) \(\chi_{4729}(182,\cdot)\) \(\chi_{4729}(189,\cdot)\) \(\chi_{4729}(190,\cdot)\) \(\chi_{4729}(208,\cdot)\) \(\chi_{4729}(210,\cdot)\) \(\chi_{4729}(213,\cdot)\) \(\chi_{4729}(219,\cdot)\) \(\chi_{4729}(222,\cdot)\) \(\chi_{4729}(240,\cdot)\) \(\chi_{4729}(241,\cdot)\) \(\chi_{4729}(247,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{591})$
Fixed field:	Number field defined by a degree 1182 polynomial (not computed)

Values on generators

\(17\) → \(e\left(\frac{767}{1182}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 4729 }(1062, a) \)	\(1\)	\(1\)	\(e\left(\frac{69}{197}\right)\)	\(e\left(\frac{193}{197}\right)\)	\(e\left(\frac{138}{197}\right)\)	\(e\left(\frac{25}{591}\right)\)	\(e\left(\frac{65}{197}\right)\)	\(e\left(\frac{400}{591}\right)\)	\(e\left(\frac{10}{197}\right)\)	\(e\left(\frac{189}{197}\right)\)	\(e\left(\frac{232}{591}\right)\)	\(e\left(\frac{219}{394}\right)\)