Dirichlet character \(\chi_{2028}(179,\cdot)\)

• Label: 2028.179
• Modulus: $2028$
• Conductor: $2028$
• Order: $78$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2028\)
Conductor:	\(2028\)
Order:	\(78\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2028.bn

\(\chi_{2028}(95,\cdot)\) \(\chi_{2028}(179,\cdot)\) \(\chi_{2028}(251,\cdot)\) \(\chi_{2028}(335,\cdot)\) \(\chi_{2028}(407,\cdot)\) \(\chi_{2028}(491,\cdot)\) \(\chi_{2028}(563,\cdot)\) \(\chi_{2028}(647,\cdot)\) \(\chi_{2028}(719,\cdot)\) \(\chi_{2028}(803,\cdot)\) \(\chi_{2028}(875,\cdot)\) \(\chi_{2028}(959,\cdot)\) \(\chi_{2028}(1031,\cdot)\) \(\chi_{2028}(1115,\cdot)\) \(\chi_{2028}(1187,\cdot)\) \(\chi_{2028}(1271,\cdot)\) \(\chi_{2028}(1343,\cdot)\) \(\chi_{2028}(1427,\cdot)\) \(\chi_{2028}(1583,\cdot)\) \(\chi_{2028}(1655,\cdot)\) \(\chi_{2028}(1739,\cdot)\) \(\chi_{2028}(1811,\cdot)\) \(\chi_{2028}(1895,\cdot)\) \(\chi_{2028}(1967,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{39})$
Fixed field:	Number field defined by a degree 78 polynomial

Values on generators

\((1015,677,1861)\) → \((-1,-1,e\left(\frac{5}{78}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 2028 }(179, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{14}{39}\right)\)	\(e\left(\frac{47}{78}\right)\)	\(e\left(\frac{67}{78}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{5}{78}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{17}{39}\right)\)