Dirichlet character \(\chi_{14157}(20,\cdot)\)

• Label: 14157.20
• Modulus: $14157$
• Conductor: $14157$
• Order: $660$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 14157.iy

\(\chi_{14157}(20,\cdot)\) \(\chi_{14157}(137,\cdot)\) \(\chi_{14157}(158,\cdot)\) \(\chi_{14157}(284,\cdot)\) \(\chi_{14157}(344,\cdot)\) \(\chi_{14157}(401,\cdot)\) \(\chi_{14157}(488,\cdot)\) \(\chi_{14157}(509,\cdot)\) \(\chi_{14157}(752,\cdot)\) \(\chi_{14157}(812,\cdot)\) \(\chi_{14157}(839,\cdot)\) \(\chi_{14157}(929,\cdot)\) \(\chi_{14157}(1094,\cdot)\) \(\chi_{14157}(1103,\cdot)\) \(\chi_{14157}(1280,\cdot)\) \(\chi_{14157}(1307,\cdot)\) \(\chi_{14157}(1424,\cdot)\) \(\chi_{14157}(1445,\cdot)\) \(\chi_{14157}(1571,\cdot)\) \(\chi_{14157}(1631,\cdot)\) \(\chi_{14157}(1688,\cdot)\) \(\chi_{14157}(1796,\cdot)\) \(\chi_{14157}(2039,\cdot)\) \(\chi_{14157}(2099,\cdot)\) \(\chi_{14157}(2126,\cdot)\) \(\chi_{14157}(2216,\cdot)\) \(\chi_{14157}(2264,\cdot)\) \(\chi_{14157}(2381,\cdot)\) \(\chi_{14157}(2390,\cdot)\) \(\chi_{14157}(2567,\cdot)\) ...

Related number fields

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

Values on generators

\((6293,3511,4357)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{38}{55}\right),e\left(\frac{11}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 14157 }(20, a) \)	\(1\)	\(1\)	\(e\left(\frac{511}{660}\right)\)	\(e\left(\frac{181}{330}\right)\)	\(e\left(\frac{139}{660}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{71}{220}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{119}{330}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{31}{165}\right)\)	\(e\left(\frac{613}{660}\right)\)