Dirichlet character \(\chi_{2349}(104,\cdot)\)

• Label: 2349.104
• Modulus: $2349$
• Conductor: $2349$
• Order: $108$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 2349.bk

\(\chi_{2349}(41,\cdot)\) \(\chi_{2349}(104,\cdot)\) \(\chi_{2349}(128,\cdot)\) \(\chi_{2349}(191,\cdot)\) \(\chi_{2349}(302,\cdot)\) \(\chi_{2349}(365,\cdot)\) \(\chi_{2349}(389,\cdot)\) \(\chi_{2349}(452,\cdot)\) \(\chi_{2349}(563,\cdot)\) \(\chi_{2349}(626,\cdot)\) \(\chi_{2349}(650,\cdot)\) \(\chi_{2349}(713,\cdot)\) \(\chi_{2349}(824,\cdot)\) \(\chi_{2349}(887,\cdot)\) \(\chi_{2349}(911,\cdot)\) \(\chi_{2349}(974,\cdot)\) \(\chi_{2349}(1085,\cdot)\) \(\chi_{2349}(1148,\cdot)\) \(\chi_{2349}(1172,\cdot)\) \(\chi_{2349}(1235,\cdot)\) \(\chi_{2349}(1346,\cdot)\) \(\chi_{2349}(1409,\cdot)\) \(\chi_{2349}(1433,\cdot)\) \(\chi_{2349}(1496,\cdot)\) \(\chi_{2349}(1607,\cdot)\) \(\chi_{2349}(1670,\cdot)\) \(\chi_{2349}(1694,\cdot)\) \(\chi_{2349}(1757,\cdot)\) \(\chi_{2349}(1868,\cdot)\) \(\chi_{2349}(1931,\cdot)\) ...

Related number fields

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

Values on generators

\((407,1945)\) → \((e\left(\frac{11}{54}\right),-i)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(11\)	\(13\)	\(14\)	\(16\)
\( \chi_{ 2349 }(104, a) \)	\(1\)	\(1\)	\(e\left(\frac{103}{108}\right)\)	\(e\left(\frac{49}{54}\right)\)	\(e\left(\frac{5}{27}\right)\)	\(e\left(\frac{7}{27}\right)\)	\(e\left(\frac{31}{36}\right)\)	\(e\left(\frac{5}{36}\right)\)	\(e\left(\frac{43}{108}\right)\)	\(e\left(\frac{7}{54}\right)\)	\(e\left(\frac{23}{108}\right)\)	\(e\left(\frac{22}{27}\right)\)