Dirichlet character \(\chi_{2167}(69,\cdot)\)

• Label: 2167.69
• Modulus: $2167$
• Conductor: $2167$
• Order: $140$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2167\)
Conductor:	\(2167\)
Order:	\(140\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2167.bb

\(\chi_{2167}(20,\cdot)\) \(\chi_{2167}(69,\cdot)\) \(\chi_{2167}(113,\cdot)\) \(\chi_{2167}(284,\cdot)\) \(\chi_{2167}(317,\cdot)\) \(\chi_{2167}(471,\cdot)\) \(\chi_{2167}(478,\cdot)\) \(\chi_{2167}(504,\cdot)\) \(\chi_{2167}(522,\cdot)\) \(\chi_{2167}(675,\cdot)\) \(\chi_{2167}(719,\cdot)\) \(\chi_{2167}(720,\cdot)\) \(\chi_{2167}(768,\cdot)\) \(\chi_{2167}(808,\cdot)\) \(\chi_{2167}(856,\cdot)\) \(\chi_{2167}(872,\cdot)\) \(\chi_{2167}(916,\cdot)\) \(\chi_{2167}(917,\cdot)\) \(\chi_{2167}(1005,\cdot)\) \(\chi_{2167}(1054,\cdot)\) \(\chi_{2167}(1072,\cdot)\) \(\chi_{2167}(1098,\cdot)\) \(\chi_{2167}(1105,\cdot)\) \(\chi_{2167}(1114,\cdot)\) \(\chi_{2167}(1202,\cdot)\) \(\chi_{2167}(1259,\cdot)\) \(\chi_{2167}(1269,\cdot)\) \(\chi_{2167}(1292,\cdot)\) \(\chi_{2167}(1302,\cdot)\) \(\chi_{2167}(1456,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{140})$
Fixed field:	Number field defined by a degree 140 polynomial (not computed)

Values on generators

\((1971,199)\) → \((e\left(\frac{4}{5}\right),e\left(\frac{15}{28}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 2167 }(69, a) \)	\(-1\)	\(1\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{51}{140}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{1}{140}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{1}{28}\right)\)