Dirichlet character \(\chi_{14157}(29,\cdot)\)

• Label: 14157.29
• 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.ip

\(\chi_{14157}(29,\cdot)\) \(\chi_{14157}(347,\cdot)\) \(\chi_{14157}(380,\cdot)\) \(\chi_{14157}(464,\cdot)\) \(\chi_{14157}(497,\cdot)\) \(\chi_{14157}(932,\cdot)\) \(\chi_{14157}(1283,\cdot)\) \(\chi_{14157}(1316,\cdot)\) \(\chi_{14157}(1634,\cdot)\) \(\chi_{14157}(1751,\cdot)\) \(\chi_{14157}(1784,\cdot)\) \(\chi_{14157}(2219,\cdot)\) \(\chi_{14157}(2252,\cdot)\) \(\chi_{14157}(2570,\cdot)\) \(\chi_{14157}(2603,\cdot)\) \(\chi_{14157}(2921,\cdot)\) \(\chi_{14157}(2954,\cdot)\) \(\chi_{14157}(3038,\cdot)\) \(\chi_{14157}(3071,\cdot)\) \(\chi_{14157}(3539,\cdot)\) \(\chi_{14157}(3857,\cdot)\) \(\chi_{14157}(3890,\cdot)\) \(\chi_{14157}(4241,\cdot)\) \(\chi_{14157}(4325,\cdot)\) \(\chi_{14157}(4358,\cdot)\) \(\chi_{14157}(4793,\cdot)\) \(\chi_{14157}(4826,\cdot)\) \(\chi_{14157}(5144,\cdot)\) \(\chi_{14157}(5177,\cdot)\) \(\chi_{14157}(5495,\cdot)\) ...

Related number fields

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

Values on generators

\((6293,3511,4357)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{17}{110}\right),e\left(\frac{1}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 14157 }(29, a) \)	\(1\)	\(1\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{89}{330}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{23}{330}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{122}{165}\right)\)	\(e\left(\frac{163}{330}\right)\)