Dirichlet character \(\chi_{2028}(1211,\cdot)\)

• Label: 2028.1211
• Modulus: $2028$
• Conductor: $2028$
• Order: $156$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2028\)
Conductor:	\(2028\)
Order:	\(156\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2028.bv

\(\chi_{2028}(11,\cdot)\) \(\chi_{2028}(59,\cdot)\) \(\chi_{2028}(71,\cdot)\) \(\chi_{2028}(119,\cdot)\) \(\chi_{2028}(167,\cdot)\) \(\chi_{2028}(215,\cdot)\) \(\chi_{2028}(227,\cdot)\) \(\chi_{2028}(275,\cdot)\) \(\chi_{2028}(323,\cdot)\) \(\chi_{2028}(371,\cdot)\) \(\chi_{2028}(383,\cdot)\) \(\chi_{2028}(431,\cdot)\) \(\chi_{2028}(479,\cdot)\) \(\chi_{2028}(527,\cdot)\) \(\chi_{2028}(539,\cdot)\) \(\chi_{2028}(635,\cdot)\) \(\chi_{2028}(683,\cdot)\) \(\chi_{2028}(743,\cdot)\) \(\chi_{2028}(791,\cdot)\) \(\chi_{2028}(839,\cdot)\) \(\chi_{2028}(851,\cdot)\) \(\chi_{2028}(899,\cdot)\) \(\chi_{2028}(947,\cdot)\) \(\chi_{2028}(1007,\cdot)\) \(\chi_{2028}(1055,\cdot)\) \(\chi_{2028}(1151,\cdot)\) \(\chi_{2028}(1163,\cdot)\) \(\chi_{2028}(1211,\cdot)\) \(\chi_{2028}(1259,\cdot)\) \(\chi_{2028}(1307,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{156})$
Fixed field:	Number field defined by a degree 156 polynomial (not computed)

Values on generators

\((1015,677,1861)\) → \((-1,-1,e\left(\frac{109}{156}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 2028 }(1211, a) \)	\(-1\)	\(1\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{41}{156}\right)\)	\(e\left(\frac{151}{156}\right)\)	\(e\left(\frac{20}{39}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{35}{78}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{2}{39}\right)\)