Dirichlet character \(\chi_{4851}(283,\cdot)\)

• Label: 4851.283
• 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.fp

\(\chi_{4851}(61,\cdot)\) \(\chi_{4851}(94,\cdot)\) \(\chi_{4851}(250,\cdot)\) \(\chi_{4851}(283,\cdot)\) \(\chi_{4851}(376,\cdot)\) \(\chi_{4851}(409,\cdot)\) \(\chi_{4851}(502,\cdot)\) \(\chi_{4851}(535,\cdot)\) \(\chi_{4851}(787,\cdot)\) \(\chi_{4851}(943,\cdot)\) \(\chi_{4851}(976,\cdot)\) \(\chi_{4851}(1069,\cdot)\) \(\chi_{4851}(1102,\cdot)\) \(\chi_{4851}(1228,\cdot)\) \(\chi_{4851}(1447,\cdot)\) \(\chi_{4851}(1480,\cdot)\) \(\chi_{4851}(1669,\cdot)\) \(\chi_{4851}(1762,\cdot)\) \(\chi_{4851}(1888,\cdot)\) \(\chi_{4851}(1921,\cdot)\) \(\chi_{4851}(2140,\cdot)\) \(\chi_{4851}(2173,\cdot)\) \(\chi_{4851}(2329,\cdot)\) \(\chi_{4851}(2362,\cdot)\) \(\chi_{4851}(2455,\cdot)\) \(\chi_{4851}(2488,\cdot)\) \(\chi_{4851}(2581,\cdot)\) \(\chi_{4851}(2614,\cdot)\) \(\chi_{4851}(2833,\cdot)\) \(\chi_{4851}(2866,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{19}{42}\right),e\left(\frac{3}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(283, a) \)	\(1\)	\(1\)	\(e\left(\frac{83}{210}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{1}{105}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{163}{210}\right)\)