Dirichlet character \(\chi_{4851}(610,\cdot)\)

• Label: 4851.610
• Modulus: $4851$
• Conductor: $4851$
• Order: $105$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4851\)
Conductor:	\(4851\)
Order:	\(105\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4851.ey

\(\chi_{4851}(169,\cdot)\) \(\chi_{4851}(400,\cdot)\) \(\chi_{4851}(421,\cdot)\) \(\chi_{4851}(526,\cdot)\) \(\chi_{4851}(610,\cdot)\) \(\chi_{4851}(652,\cdot)\) \(\chi_{4851}(841,\cdot)\) \(\chi_{4851}(862,\cdot)\) \(\chi_{4851}(988,\cdot)\) \(\chi_{4851}(1093,\cdot)\) \(\chi_{4851}(1114,\cdot)\) \(\chi_{4851}(1219,\cdot)\) \(\chi_{4851}(1303,\cdot)\) \(\chi_{4851}(1345,\cdot)\) \(\chi_{4851}(1534,\cdot)\) \(\chi_{4851}(1555,\cdot)\) \(\chi_{4851}(1681,\cdot)\) \(\chi_{4851}(1786,\cdot)\) \(\chi_{4851}(1807,\cdot)\) \(\chi_{4851}(1996,\cdot)\) \(\chi_{4851}(2038,\cdot)\) \(\chi_{4851}(2227,\cdot)\) \(\chi_{4851}(2248,\cdot)\) \(\chi_{4851}(2374,\cdot)\) \(\chi_{4851}(2479,\cdot)\) \(\chi_{4851}(2605,\cdot)\) \(\chi_{4851}(2689,\cdot)\) \(\chi_{4851}(2731,\cdot)\) \(\chi_{4851}(2920,\cdot)\) \(\chi_{4851}(3067,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{4}{7}\right),e\left(\frac{2}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(610, a) \)	\(1\)	\(1\)	\(e\left(\frac{97}{105}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{27}{35}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{37}{105}\right)\)