Dirichlet character \(\chi_{14157}(1337,\cdot)\)

• Label: 14157.1337
• 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.jc

\(\chi_{14157}(41,\cdot)\) \(\chi_{14157}(50,\cdot)\) \(\chi_{14157}(167,\cdot)\) \(\chi_{14157}(227,\cdot)\) \(\chi_{14157}(371,\cdot)\) \(\chi_{14157}(392,\cdot)\) \(\chi_{14157}(635,\cdot)\) \(\chi_{14157}(695,\cdot)\) \(\chi_{14157}(722,\cdot)\) \(\chi_{14157}(743,\cdot)\) \(\chi_{14157}(860,\cdot)\) \(\chi_{14157}(986,\cdot)\) \(\chi_{14157}(1073,\cdot)\) \(\chi_{14157}(1163,\cdot)\) \(\chi_{14157}(1190,\cdot)\) \(\chi_{14157}(1337,\cdot)\) \(\chi_{14157}(1454,\cdot)\) \(\chi_{14157}(1514,\cdot)\) \(\chi_{14157}(1658,\cdot)\) \(\chi_{14157}(1679,\cdot)\) \(\chi_{14157}(1865,\cdot)\) \(\chi_{14157}(1922,\cdot)\) \(\chi_{14157}(1982,\cdot)\) \(\chi_{14157}(2009,\cdot)\) \(\chi_{14157}(2147,\cdot)\) \(\chi_{14157}(2273,\cdot)\) \(\chi_{14157}(2360,\cdot)\) \(\chi_{14157}(2450,\cdot)\) \(\chi_{14157}(2477,\cdot)\) \(\chi_{14157}(2615,\cdot)\) ...

Related number fields

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

Values on generators

\((6293,3511,4357)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{89}{110}\right),e\left(\frac{7}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 14157 }(1337, a) \)	\(-1\)	\(1\)	\(e\left(\frac{149}{660}\right)\)	\(e\left(\frac{149}{330}\right)\)	\(e\left(\frac{191}{660}\right)\)	\(e\left(\frac{91}{220}\right)\)	\(e\left(\frac{149}{220}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{211}{330}\right)\)	\(e\left(\frac{149}{165}\right)\)	\(e\left(\frac{103}{330}\right)\)	\(e\left(\frac{47}{660}\right)\)