Dirichlet character \(\chi_{4851}(817,\cdot)\)

• Label: 4851.817
• Modulus: $4851$
• Conductor: $4851$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(4851\)
Conductor:	\(4851\)
Order:	\(210\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 4851.fh

\(\chi_{4851}(124,\cdot)\) \(\chi_{4851}(157,\cdot)\) \(\chi_{4851}(346,\cdot)\) \(\chi_{4851}(565,\cdot)\) \(\chi_{4851}(598,\cdot)\) \(\chi_{4851}(691,\cdot)\) \(\chi_{4851}(724,\cdot)\) \(\chi_{4851}(817,\cdot)\) \(\chi_{4851}(850,\cdot)\) \(\chi_{4851}(1006,\cdot)\) \(\chi_{4851}(1039,\cdot)\) \(\chi_{4851}(1258,\cdot)\) \(\chi_{4851}(1291,\cdot)\) \(\chi_{4851}(1384,\cdot)\) \(\chi_{4851}(1417,\cdot)\) \(\chi_{4851}(1510,\cdot)\) \(\chi_{4851}(1543,\cdot)\) \(\chi_{4851}(1699,\cdot)\) \(\chi_{4851}(1732,\cdot)\) \(\chi_{4851}(1951,\cdot)\) \(\chi_{4851}(1984,\cdot)\) \(\chi_{4851}(2110,\cdot)\) \(\chi_{4851}(2203,\cdot)\) \(\chi_{4851}(2392,\cdot)\) \(\chi_{4851}(2425,\cdot)\) \(\chi_{4851}(2644,\cdot)\) \(\chi_{4851}(2770,\cdot)\) \(\chi_{4851}(2803,\cdot)\) \(\chi_{4851}(2896,\cdot)\) \(\chi_{4851}(2929,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{105})$
Fixed field:	Number field defined by a degree 210 polynomial (not computed)

Values on generators

\((4313,199,442)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{41}{42}\right),e\left(\frac{4}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(817, a) \)	\(-1\)	\(1\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{19}{35}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{73}{210}\right)\)	\(e\left(\frac{41}{105}\right)\)	\(e\left(\frac{127}{210}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{113}{210}\right)\)