Dirichlet character \(\chi_{4851}(1213,\cdot)\)

• Label: 4851.1213
• 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.fa

\(\chi_{4851}(4,\cdot)\) \(\chi_{4851}(16,\cdot)\) \(\chi_{4851}(130,\cdot)\) \(\chi_{4851}(256,\cdot)\) \(\chi_{4851}(268,\cdot)\) \(\chi_{4851}(394,\cdot)\) \(\chi_{4851}(445,\cdot)\) \(\chi_{4851}(697,\cdot)\) \(\chi_{4851}(709,\cdot)\) \(\chi_{4851}(823,\cdot)\) \(\chi_{4851}(1087,\cdot)\) \(\chi_{4851}(1138,\cdot)\) \(\chi_{4851}(1213,\cdot)\) \(\chi_{4851}(1516,\cdot)\) \(\chi_{4851}(1642,\cdot)\) \(\chi_{4851}(1654,\cdot)\) \(\chi_{4851}(1780,\cdot)\) \(\chi_{4851}(1906,\cdot)\) \(\chi_{4851}(2083,\cdot)\) \(\chi_{4851}(2095,\cdot)\) \(\chi_{4851}(2209,\cdot)\) \(\chi_{4851}(2335,\cdot)\) \(\chi_{4851}(2347,\cdot)\) \(\chi_{4851}(2473,\cdot)\) \(\chi_{4851}(2524,\cdot)\) \(\chi_{4851}(2599,\cdot)\) \(\chi_{4851}(2776,\cdot)\) \(\chi_{4851}(2788,\cdot)\) \(\chi_{4851}(2902,\cdot)\) \(\chi_{4851}(3028,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{16}{21}\right),e\left(\frac{4}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(1213, a) \)	\(1\)	\(1\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{58}{105}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{29}{105}\right)\)	\(e\left(\frac{11}{105}\right)\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{19}{105}\right)\)