Dirichlet character \(\chi_{1452}(1427,\cdot)\)

• Label: 1452.1427
• Modulus: $1452$
• Conductor: $1452$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(1452\)
Conductor:	\(1452\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1452.bb

\(\chi_{1452}(35,\cdot)\) \(\chi_{1452}(83,\cdot)\) \(\chi_{1452}(95,\cdot)\) \(\chi_{1452}(107,\cdot)\) \(\chi_{1452}(167,\cdot)\) \(\chi_{1452}(227,\cdot)\) \(\chi_{1452}(299,\cdot)\) \(\chi_{1452}(347,\cdot)\) \(\chi_{1452}(359,\cdot)\) \(\chi_{1452}(371,\cdot)\) \(\chi_{1452}(431,\cdot)\) \(\chi_{1452}(479,\cdot)\) \(\chi_{1452}(491,\cdot)\) \(\chi_{1452}(503,\cdot)\) \(\chi_{1452}(563,\cdot)\) \(\chi_{1452}(611,\cdot)\) \(\chi_{1452}(623,\cdot)\) \(\chi_{1452}(635,\cdot)\) \(\chi_{1452}(695,\cdot)\) \(\chi_{1452}(743,\cdot)\) \(\chi_{1452}(755,\cdot)\) \(\chi_{1452}(767,\cdot)\) \(\chi_{1452}(827,\cdot)\) \(\chi_{1452}(875,\cdot)\) \(\chi_{1452}(899,\cdot)\) \(\chi_{1452}(1007,\cdot)\) \(\chi_{1452}(1019,\cdot)\) \(\chi_{1452}(1031,\cdot)\) \(\chi_{1452}(1091,\cdot)\) \(\chi_{1452}(1139,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((727,485,1333)\) → \((-1,-1,e\left(\frac{93}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 1452 }(1427, a) \)	\(-1\)	\(1\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{53}{110}\right)\)