Dirichlet character \(\chi_{1667}(1168,\cdot)\)

• Label: 1667.1168
• Modulus: $1667$
• Conductor: $1667$
• Order: $49$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1667\)
Conductor:	\(1667\)
Order:	\(49\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1667.g

\(\chi_{1667}(13,\cdot)\) \(\chi_{1667}(149,\cdot)\) \(\chi_{1667}(160,\cdot)\) \(\chi_{1667}(169,\cdot)\) \(\chi_{1667}(174,\cdot)\) \(\chi_{1667}(181,\cdot)\) \(\chi_{1667}(183,\cdot)\) \(\chi_{1667}(222,\cdot)\) \(\chi_{1667}(270,\cdot)\) \(\chi_{1667}(297,\cdot)\) \(\chi_{1667}(304,\cdot)\) \(\chi_{1667}(368,\cdot)\) \(\chi_{1667}(397,\cdot)\) \(\chi_{1667}(413,\cdot)\) \(\chi_{1667}(513,\cdot)\) \(\chi_{1667}(527,\cdot)\) \(\chi_{1667}(530,\cdot)\) \(\chi_{1667}(535,\cdot)\) \(\chi_{1667}(564,\cdot)\) \(\chi_{1667}(583,\cdot)\) \(\chi_{1667}(595,\cdot)\) \(\chi_{1667}(618,\cdot)\) \(\chi_{1667}(621,\cdot)\) \(\chi_{1667}(664,\cdot)\) \(\chi_{1667}(731,\cdot)\) \(\chi_{1667}(808,\cdot)\) \(\chi_{1667}(844,\cdot)\) \(\chi_{1667}(911,\cdot)\) \(\chi_{1667}(921,\cdot)\) \(\chi_{1667}(941,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{49})$
Fixed field:	Number field defined by a degree 49 polynomial

Values on generators

\(2\) → \(e\left(\frac{20}{49}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 1667 }(1168, a) \)	\(1\)	\(1\)	\(e\left(\frac{20}{49}\right)\)	\(e\left(\frac{25}{49}\right)\)	\(e\left(\frac{40}{49}\right)\)	\(e\left(\frac{34}{49}\right)\)	\(e\left(\frac{45}{49}\right)\)	\(e\left(\frac{40}{49}\right)\)	\(e\left(\frac{11}{49}\right)\)	\(e\left(\frac{1}{49}\right)\)	\(e\left(\frac{5}{49}\right)\)	\(e\left(\frac{32}{49}\right)\)