Dirichlet character \(\chi_{2535}(1793,\cdot)\)

• Label: 2535.1793
• Modulus: $2535$
• Conductor: $2535$
• Order: $52$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2535\)
Conductor:	\(2535\)
Order:	\(52\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2535.bz

\(\chi_{2535}(38,\cdot)\) \(\chi_{2535}(77,\cdot)\) \(\chi_{2535}(233,\cdot)\) \(\chi_{2535}(272,\cdot)\) \(\chi_{2535}(428,\cdot)\) \(\chi_{2535}(467,\cdot)\) \(\chi_{2535}(623,\cdot)\) \(\chi_{2535}(662,\cdot)\) \(\chi_{2535}(818,\cdot)\) \(\chi_{2535}(857,\cdot)\) \(\chi_{2535}(1052,\cdot)\) \(\chi_{2535}(1208,\cdot)\) \(\chi_{2535}(1247,\cdot)\) \(\chi_{2535}(1403,\cdot)\) \(\chi_{2535}(1442,\cdot)\) \(\chi_{2535}(1598,\cdot)\) \(\chi_{2535}(1637,\cdot)\) \(\chi_{2535}(1793,\cdot)\) \(\chi_{2535}(1832,\cdot)\) \(\chi_{2535}(1988,\cdot)\) \(\chi_{2535}(2183,\cdot)\) \(\chi_{2535}(2222,\cdot)\) \(\chi_{2535}(2378,\cdot)\) \(\chi_{2535}(2417,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{52})$
Fixed field:	Number field defined by a degree 52 polynomial

Values on generators

\((1691,1522,1861)\) → \((-1,-i,e\left(\frac{25}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(14\)	\(16\)	\(17\)	\(19\)	\(22\)
\( \chi_{ 2535 }(1793, a) \)	\(1\)	\(1\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(1\)	\(-i\)