Dirichlet character \(\chi_{4851}(536,\cdot)\)

• Label: 4851.536
• 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.fg

\(\chi_{4851}(2,\cdot)\) \(\chi_{4851}(95,\cdot)\) \(\chi_{4851}(347,\cdot)\) \(\chi_{4851}(380,\cdot)\) \(\chi_{4851}(536,\cdot)\) \(\chi_{4851}(662,\cdot)\) \(\chi_{4851}(695,\cdot)\) \(\chi_{4851}(788,\cdot)\) \(\chi_{4851}(821,\cdot)\) \(\chi_{4851}(1040,\cdot)\) \(\chi_{4851}(1073,\cdot)\) \(\chi_{4851}(1229,\cdot)\) \(\chi_{4851}(1262,\cdot)\) \(\chi_{4851}(1355,\cdot)\) \(\chi_{4851}(1388,\cdot)\) \(\chi_{4851}(1481,\cdot)\) \(\chi_{4851}(1514,\cdot)\) \(\chi_{4851}(1766,\cdot)\) \(\chi_{4851}(1922,\cdot)\) \(\chi_{4851}(1955,\cdot)\) \(\chi_{4851}(2048,\cdot)\) \(\chi_{4851}(2081,\cdot)\) \(\chi_{4851}(2207,\cdot)\) \(\chi_{4851}(2426,\cdot)\) \(\chi_{4851}(2459,\cdot)\) \(\chi_{4851}(2648,\cdot)\) \(\chi_{4851}(2741,\cdot)\) \(\chi_{4851}(2867,\cdot)\) \(\chi_{4851}(2900,\cdot)\) \(\chi_{4851}(3119,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{11}{21}\right),e\left(\frac{3}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(536, a) \)	\(1\)	\(1\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{1}{105}\right)\)	\(e\left(\frac{31}{105}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{13}{210}\right)\)