Dirichlet character \(\chi_{2028}(1139,\cdot)\)

• Label: 2028.1139
• Modulus: $2028$
• Conductor: $2028$
• Order: $52$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2028\)
Conductor:	\(2028\)
Order:	\(52\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2028.bh

\(\chi_{2028}(47,\cdot)\) \(\chi_{2028}(83,\cdot)\) \(\chi_{2028}(203,\cdot)\) \(\chi_{2028}(359,\cdot)\) \(\chi_{2028}(395,\cdot)\) \(\chi_{2028}(515,\cdot)\) \(\chi_{2028}(551,\cdot)\) \(\chi_{2028}(671,\cdot)\) \(\chi_{2028}(707,\cdot)\) \(\chi_{2028}(827,\cdot)\) \(\chi_{2028}(863,\cdot)\) \(\chi_{2028}(983,\cdot)\) \(\chi_{2028}(1019,\cdot)\) \(\chi_{2028}(1139,\cdot)\) \(\chi_{2028}(1175,\cdot)\) \(\chi_{2028}(1295,\cdot)\) \(\chi_{2028}(1331,\cdot)\) \(\chi_{2028}(1487,\cdot)\) \(\chi_{2028}(1607,\cdot)\) \(\chi_{2028}(1643,\cdot)\) \(\chi_{2028}(1763,\cdot)\) \(\chi_{2028}(1799,\cdot)\) \(\chi_{2028}(1919,\cdot)\) \(\chi_{2028}(1955,\cdot)\)

Related number fields

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

Values on generators

\((1015,677,1861)\) → \((-1,-1,e\left(\frac{9}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 2028 }(1139, a) \)	\(-1\)	\(1\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(-i\)	\(-1\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{1}{13}\right)\)