Dirichlet character \(\chi_{2349}(1984,\cdot)\)

• Label: 2349.1984
• Modulus: $2349$
• Conductor: $2349$
• Order: $108$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2349\)
Conductor:	\(2349\)
Order:	\(108\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2349.bj

\(\chi_{2349}(70,\cdot)\) \(\chi_{2349}(133,\cdot)\) \(\chi_{2349}(157,\cdot)\) \(\chi_{2349}(220,\cdot)\) \(\chi_{2349}(331,\cdot)\) \(\chi_{2349}(394,\cdot)\) \(\chi_{2349}(418,\cdot)\) \(\chi_{2349}(481,\cdot)\) \(\chi_{2349}(592,\cdot)\) \(\chi_{2349}(655,\cdot)\) \(\chi_{2349}(679,\cdot)\) \(\chi_{2349}(742,\cdot)\) \(\chi_{2349}(853,\cdot)\) \(\chi_{2349}(916,\cdot)\) \(\chi_{2349}(940,\cdot)\) \(\chi_{2349}(1003,\cdot)\) \(\chi_{2349}(1114,\cdot)\) \(\chi_{2349}(1177,\cdot)\) \(\chi_{2349}(1201,\cdot)\) \(\chi_{2349}(1264,\cdot)\) \(\chi_{2349}(1375,\cdot)\) \(\chi_{2349}(1438,\cdot)\) \(\chi_{2349}(1462,\cdot)\) \(\chi_{2349}(1525,\cdot)\) \(\chi_{2349}(1636,\cdot)\) \(\chi_{2349}(1699,\cdot)\) \(\chi_{2349}(1723,\cdot)\) \(\chi_{2349}(1786,\cdot)\) \(\chi_{2349}(1897,\cdot)\) \(\chi_{2349}(1960,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{108})$
Fixed field:	Number field defined by a degree 108 polynomial (not computed)

Values on generators

\((407,1945)\) → \((e\left(\frac{13}{27}\right),i)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(11\)	\(13\)	\(14\)	\(16\)
\( \chi_{ 2349 }(1984, a) \)	\(-1\)	\(1\)	\(e\left(\frac{79}{108}\right)\)	\(e\left(\frac{25}{54}\right)\)	\(e\left(\frac{31}{54}\right)\)	\(e\left(\frac{19}{27}\right)\)	\(e\left(\frac{7}{36}\right)\)	\(e\left(\frac{11}{36}\right)\)	\(e\left(\frac{55}{108}\right)\)	\(e\left(\frac{19}{54}\right)\)	\(e\left(\frac{47}{108}\right)\)	\(e\left(\frac{25}{27}\right)\)