Dirichlet character \(\chi_{14157}(4684,\cdot)\)

• Label: 14157.4684
• Modulus: $14157$
• Conductor: $14157$
• Order: $330$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(14157\)
Conductor:	\(14157\)
Order:	\(330\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 14157.hr

\(\chi_{14157}(4,\cdot)\) \(\chi_{14157}(322,\cdot)\) \(\chi_{14157}(355,\cdot)\) \(\chi_{14157}(790,\cdot)\) \(\chi_{14157}(823,\cdot)\) \(\chi_{14157}(907,\cdot)\) \(\chi_{14157}(940,\cdot)\) \(\chi_{14157}(1258,\cdot)\) \(\chi_{14157}(1609,\cdot)\) \(\chi_{14157}(1642,\cdot)\) \(\chi_{14157}(2077,\cdot)\) \(\chi_{14157}(2110,\cdot)\) \(\chi_{14157}(2194,\cdot)\) \(\chi_{14157}(2227,\cdot)\) \(\chi_{14157}(2545,\cdot)\) \(\chi_{14157}(2578,\cdot)\) \(\chi_{14157}(2896,\cdot)\) \(\chi_{14157}(2929,\cdot)\) \(\chi_{14157}(3364,\cdot)\) \(\chi_{14157}(3481,\cdot)\) \(\chi_{14157}(3514,\cdot)\) \(\chi_{14157}(3865,\cdot)\) \(\chi_{14157}(4183,\cdot)\) \(\chi_{14157}(4216,\cdot)\) \(\chi_{14157}(4651,\cdot)\) \(\chi_{14157}(4684,\cdot)\) \(\chi_{14157}(4768,\cdot)\) \(\chi_{14157}(4801,\cdot)\) \(\chi_{14157}(5119,\cdot)\) \(\chi_{14157}(5152,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 330 polynomial (not computed)

Values on generators

\((6293,3511,4357)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{13}{55}\right),e\left(\frac{1}{6}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 14157 }(4684, a) \)	\(1\)	\(1\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{217}{330}\right)\)	\(e\left(\frac{271}{330}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{92}{165}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{151}{165}\right)\)	\(e\left(\frac{149}{330}\right)\)