Dirichlet character \(\chi_{2668}(1111,\cdot)\)

• Label: 2668.1111
• Modulus: $2668$
• Conductor: $2668$
• Order: $154$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2668\)
Conductor:	\(2668\)
Order:	\(154\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2668.bq

\(\chi_{2668}(51,\cdot)\) \(\chi_{2668}(63,\cdot)\) \(\chi_{2668}(67,\cdot)\) \(\chi_{2668}(267,\cdot)\) \(\chi_{2668}(283,\cdot)\) \(\chi_{2668}(295,\cdot)\) \(\chi_{2668}(383,\cdot)\) \(\chi_{2668}(411,\cdot)\) \(\chi_{2668}(419,\cdot)\) \(\chi_{2668}(527,\cdot)\) \(\chi_{2668}(615,\cdot)\) \(\chi_{2668}(631,\cdot)\) \(\chi_{2668}(651,\cdot)\) \(\chi_{2668}(747,\cdot)\) \(\chi_{2668}(787,\cdot)\) \(\chi_{2668}(847,\cdot)\) \(\chi_{2668}(879,\cdot)\) \(\chi_{2668}(963,\cdot)\) \(\chi_{2668}(999,\cdot)\) \(\chi_{2668}(1019,\cdot)\) \(\chi_{2668}(1079,\cdot)\) \(\chi_{2668}(1095,\cdot)\) \(\chi_{2668}(1111,\cdot)\) \(\chi_{2668}(1115,\cdot)\) \(\chi_{2668}(1211,\cdot)\) \(\chi_{2668}(1339,\cdot)\) \(\chi_{2668}(1367,\cdot)\) \(\chi_{2668}(1443,\cdot)\) \(\chi_{2668}(1459,\cdot)\) \(\chi_{2668}(1463,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{77})$
Fixed field:	Number field defined by a degree 154 polynomial (not computed)

Values on generators

\((1335,465,553)\) → \((-1,e\left(\frac{19}{22}\right),e\left(\frac{5}{14}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 2668 }(1111, a) \)	\(1\)	\(1\)	\(e\left(\frac{8}{77}\right)\)	\(e\left(\frac{111}{154}\right)\)	\(e\left(\frac{15}{77}\right)\)	\(e\left(\frac{16}{77}\right)\)	\(e\left(\frac{31}{154}\right)\)	\(e\left(\frac{40}{77}\right)\)	\(e\left(\frac{127}{154}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{103}{154}\right)\)	\(e\left(\frac{23}{77}\right)\)