Dirichlet character \(\chi_{4851}(475,\cdot)\)

• Label: 4851.475
• Modulus: $4851$
• Conductor: $4851$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 4851.fw

\(\chi_{4851}(13,\cdot)\) \(\chi_{4851}(139,\cdot)\) \(\chi_{4851}(160,\cdot)\) \(\chi_{4851}(349,\cdot)\) \(\chi_{4851}(475,\cdot)\) \(\chi_{4851}(580,\cdot)\) \(\chi_{4851}(601,\cdot)\) \(\chi_{4851}(706,\cdot)\) \(\chi_{4851}(853,\cdot)\) \(\chi_{4851}(1042,\cdot)\) \(\chi_{4851}(1084,\cdot)\) \(\chi_{4851}(1168,\cdot)\) \(\chi_{4851}(1294,\cdot)\) \(\chi_{4851}(1399,\cdot)\) \(\chi_{4851}(1525,\cdot)\) \(\chi_{4851}(1546,\cdot)\) \(\chi_{4851}(1735,\cdot)\) \(\chi_{4851}(1777,\cdot)\) \(\chi_{4851}(1966,\cdot)\) \(\chi_{4851}(1987,\cdot)\) \(\chi_{4851}(2092,\cdot)\) \(\chi_{4851}(2218,\cdot)\) \(\chi_{4851}(2239,\cdot)\) \(\chi_{4851}(2428,\cdot)\) \(\chi_{4851}(2470,\cdot)\) \(\chi_{4851}(2554,\cdot)\) \(\chi_{4851}(2659,\cdot)\) \(\chi_{4851}(2680,\cdot)\) \(\chi_{4851}(2785,\cdot)\) \(\chi_{4851}(2911,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{3}{14}\right),e\left(\frac{1}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(475, a) \)	\(1\)	\(1\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{199}{210}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{131}{210}\right)\)