Dirichlet character \(\chi_{2669}(657,\cdot)\)

• Label: 2669.657
• Modulus: $2669$
• Conductor: $2669$
• Order: $208$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2669\)
Conductor:	\(2669\)
Order:	\(208\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2669.cj

\(\chi_{2669}(41,\cdot)\) \(\chi_{2669}(45,\cdot)\) \(\chi_{2669}(54,\cdot)\) \(\chi_{2669}(65,\cdot)\) \(\chi_{2669}(78,\cdot)\) \(\chi_{2669}(92,\cdot)\) \(\chi_{2669}(116,\cdot)\) \(\chi_{2669}(159,\cdot)\) \(\chi_{2669}(165,\cdot)\) \(\chi_{2669}(198,\cdot)\) \(\chi_{2669}(249,\cdot)\) \(\chi_{2669}(269,\cdot)\) \(\chi_{2669}(316,\cdot)\) \(\chi_{2669}(337,\cdot)\) \(\chi_{2669}(346,\cdot)\) \(\chi_{2669}(379,\cdot)\) \(\chi_{2669}(430,\cdot)\) \(\chi_{2669}(439,\cdot)\) \(\chi_{2669}(448,\cdot)\) \(\chi_{2669}(479,\cdot)\) \(\chi_{2669}(500,\cdot)\) \(\chi_{2669}(503,\cdot)\) \(\chi_{2669}(516,\cdot)\) \(\chi_{2669}(583,\cdot)\) \(\chi_{2669}(605,\cdot)\) \(\chi_{2669}(626,\cdot)\) \(\chi_{2669}(651,\cdot)\) \(\chi_{2669}(657,\cdot)\) \(\chi_{2669}(669,\cdot)\) \(\chi_{2669}(673,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{208})$
Fixed field:	Number field defined by a degree 208 polynomial (not computed)

Values on generators

\((1414,2517)\) → \((e\left(\frac{7}{16}\right),e\left(\frac{43}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2669 }(657, a) \)	\(1\)	\(1\)	\(e\left(\frac{75}{104}\right)\)	\(e\left(\frac{51}{208}\right)\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{3}{208}\right)\)	\(e\left(\frac{201}{208}\right)\)	\(e\left(\frac{77}{208}\right)\)	\(e\left(\frac{17}{104}\right)\)	\(e\left(\frac{51}{104}\right)\)	\(e\left(\frac{153}{208}\right)\)	\(e\left(\frac{45}{208}\right)\)