Dirichlet character \(\chi_{4600}(1259,\cdot)\)

• Label: 4600.1259
• Modulus: $4600$
• Conductor: $4600$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4600\)
Conductor:	\(4600\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4600.cz

\(\chi_{4600}(19,\cdot)\) \(\chi_{4600}(339,\cdot)\) \(\chi_{4600}(379,\cdot)\) \(\chi_{4600}(419,\cdot)\) \(\chi_{4600}(539,\cdot)\) \(\chi_{4600}(619,\cdot)\) \(\chi_{4600}(659,\cdot)\) \(\chi_{4600}(779,\cdot)\) \(\chi_{4600}(819,\cdot)\) \(\chi_{4600}(939,\cdot)\) \(\chi_{4600}(1019,\cdot)\) \(\chi_{4600}(1259,\cdot)\) \(\chi_{4600}(1339,\cdot)\) \(\chi_{4600}(1459,\cdot)\) \(\chi_{4600}(1539,\cdot)\) \(\chi_{4600}(1579,\cdot)\) \(\chi_{4600}(1739,\cdot)\) \(\chi_{4600}(1859,\cdot)\) \(\chi_{4600}(1939,\cdot)\) \(\chi_{4600}(2179,\cdot)\) \(\chi_{4600}(2219,\cdot)\) \(\chi_{4600}(2259,\cdot)\) \(\chi_{4600}(2379,\cdot)\) \(\chi_{4600}(2459,\cdot)\) \(\chi_{4600}(2619,\cdot)\) \(\chi_{4600}(2659,\cdot)\) \(\chi_{4600}(2779,\cdot)\) \(\chi_{4600}(2859,\cdot)\) \(\chi_{4600}(3139,\cdot)\) \(\chi_{4600}(3179,\cdot)\) ...

Related number fields

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

Values on generators

\((1151,2301,2577,1201)\) → \((-1,-1,e\left(\frac{7}{10}\right),e\left(\frac{7}{22}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(27\)	\(29\)
\( \chi_{ 4600 }(1259, a) \)	\(1\)	\(1\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{69}{110}\right)\)