Dirichlet character \(\chi_{640332}(2795,\cdot)\)

• Label: 640332.2795
• Modulus: $640332$
• Conductor: $640332$
• Order: $1386$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(640332\)
Conductor:	\(640332\)
Order:	\(1386\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 640332.bht

\(\chi_{640332}(23,\cdot)\) \(\chi_{640332}(2531,\cdot)\) \(\chi_{640332}(2795,\cdot)\) \(\chi_{640332}(5303,\cdot)\) \(\chi_{640332}(8075,\cdot)\) \(\chi_{640332}(8339,\cdot)\) \(\chi_{640332}(11111,\cdot)\) \(\chi_{640332}(13619,\cdot)\) \(\chi_{640332}(13883,\cdot)\) \(\chi_{640332}(16391,\cdot)\) \(\chi_{640332}(16655,\cdot)\) \(\chi_{640332}(19163,\cdot)\) \(\chi_{640332}(19427,\cdot)\) \(\chi_{640332}(21935,\cdot)\) \(\chi_{640332}(22199,\cdot)\) \(\chi_{640332}(24707,\cdot)\) \(\chi_{640332}(27479,\cdot)\) \(\chi_{640332}(27743,\cdot)\) \(\chi_{640332}(30515,\cdot)\) \(\chi_{640332}(33023,\cdot)\) \(\chi_{640332}(33287,\cdot)\) \(\chi_{640332}(35795,\cdot)\) \(\chi_{640332}(38567,\cdot)\) \(\chi_{640332}(38831,\cdot)\) \(\chi_{640332}(41339,\cdot)\) \(\chi_{640332}(41603,\cdot)\) \(\chi_{640332}(44111,\cdot)\) \(\chi_{640332}(46883,\cdot)\) \(\chi_{640332}(47147,\cdot)\) \(\chi_{640332}(49919,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{693})$
Fixed field:	Number field defined by a degree 1386 polynomial (not computed)

Values on generators

\((320167,450605,339769,179929)\) → \((-1,e\left(\frac{17}{18}\right),e\left(\frac{13}{21}\right),e\left(\frac{9}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 640332 }(2795, a) \)	\(1\)	\(1\)	\(e\left(\frac{305}{1386}\right)\)	\(e\left(\frac{430}{693}\right)\)	\(e\left(\frac{113}{154}\right)\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{475}{693}\right)\)	\(e\left(\frac{305}{693}\right)\)	\(e\left(\frac{1381}{1386}\right)\)	\(e\left(\frac{17}{198}\right)\)	\(e\left(\frac{194}{231}\right)\)	\(e\left(\frac{221}{1386}\right)\)