Dirichlet character \(\chi_{2668}(1167,\cdot)\)

• Label: 2668.1167
• 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.bm

\(\chi_{2668}(7,\cdot)\) \(\chi_{2668}(83,\cdot)\) \(\chi_{2668}(103,\cdot)\) \(\chi_{2668}(107,\cdot)\) \(\chi_{2668}(111,\cdot)\) \(\chi_{2668}(199,\cdot)\) \(\chi_{2668}(227,\cdot)\) \(\chi_{2668}(339,\cdot)\) \(\chi_{2668}(343,\cdot)\) \(\chi_{2668}(355,\cdot)\) \(\chi_{2668}(431,\cdot)\) \(\chi_{2668}(451,\cdot)\) \(\chi_{2668}(471,\cdot)\) \(\chi_{2668}(567,\cdot)\) \(\chi_{2668}(571,\cdot)\) \(\chi_{2668}(603,\cdot)\) \(\chi_{2668}(663,\cdot)\) \(\chi_{2668}(687,\cdot)\) \(\chi_{2668}(779,\cdot)\) \(\chi_{2668}(799,\cdot)\) \(\chi_{2668}(803,\cdot)\) \(\chi_{2668}(819,\cdot)\) \(\chi_{2668}(835,\cdot)\) \(\chi_{2668}(895,\cdot)\) \(\chi_{2668}(935,\cdot)\) \(\chi_{2668}(1031,\cdot)\) \(\chi_{2668}(1147,\cdot)\) \(\chi_{2668}(1155,\cdot)\) \(\chi_{2668}(1167,\cdot)\) \(\chi_{2668}(1183,\cdot)\) ...

Related number fields

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

Values on generators

\((1335,465,553)\) → \((-1,e\left(\frac{7}{22}\right),e\left(\frac{3}{7}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 2668 }(1167, a) \)	\(1\)	\(1\)	\(e\left(\frac{113}{154}\right)\)	\(e\left(\frac{115}{154}\right)\)	\(e\left(\frac{53}{77}\right)\)	\(e\left(\frac{36}{77}\right)\)	\(e\left(\frac{6}{77}\right)\)	\(e\left(\frac{13}{77}\right)\)	\(e\left(\frac{37}{77}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{10}{77}\right)\)	\(e\left(\frac{65}{154}\right)\)