Dirichlet character \(\chi_{14157}(1813,\cdot)\)

• Label: 14157.1813
• Modulus: $14157$
• Conductor: $14157$
• Order: $660$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(14157\)
Conductor:	\(14157\)
Order:	\(660\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 14157.iq

\(\chi_{14157}(58,\cdot)\) \(\chi_{14157}(115,\cdot)\) \(\chi_{14157}(223,\cdot)\) \(\chi_{14157}(466,\cdot)\) \(\chi_{14157}(526,\cdot)\) \(\chi_{14157}(553,\cdot)\) \(\chi_{14157}(643,\cdot)\) \(\chi_{14157}(691,\cdot)\) \(\chi_{14157}(808,\cdot)\) \(\chi_{14157}(817,\cdot)\) \(\chi_{14157}(994,\cdot)\) \(\chi_{14157}(1021,\cdot)\) \(\chi_{14157}(1138,\cdot)\) \(\chi_{14157}(1159,\cdot)\) \(\chi_{14157}(1285,\cdot)\) \(\chi_{14157}(1345,\cdot)\) \(\chi_{14157}(1402,\cdot)\) \(\chi_{14157}(1489,\cdot)\) \(\chi_{14157}(1510,\cdot)\) \(\chi_{14157}(1753,\cdot)\) \(\chi_{14157}(1813,\cdot)\) \(\chi_{14157}(1840,\cdot)\) \(\chi_{14157}(1930,\cdot)\) \(\chi_{14157}(1978,\cdot)\) \(\chi_{14157}(2095,\cdot)\) \(\chi_{14157}(2104,\cdot)\) \(\chi_{14157}(2281,\cdot)\) \(\chi_{14157}(2425,\cdot)\) \(\chi_{14157}(2446,\cdot)\) \(\chi_{14157}(2572,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{660})$
Fixed field:	Number field defined by a degree 660 polynomial (not computed)

Values on generators

\((6293,3511,4357)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{28}{55}\right),e\left(\frac{5}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 14157 }(1813, a) \)	\(-1\)	\(1\)	\(e\left(\frac{57}{220}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{59}{660}\right)\)	\(e\left(\frac{317}{660}\right)\)	\(e\left(\frac{171}{220}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{122}{165}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{257}{330}\right)\)	\(e\left(\frac{223}{660}\right)\)