Dirichlet character \(\chi_{4851}(1285,\cdot)\)

• Label: 4851.1285
• 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.fb

\(\chi_{4851}(25,\cdot)\) \(\chi_{4851}(58,\cdot)\) \(\chi_{4851}(247,\cdot)\) \(\chi_{4851}(466,\cdot)\) \(\chi_{4851}(499,\cdot)\) \(\chi_{4851}(592,\cdot)\) \(\chi_{4851}(625,\cdot)\) \(\chi_{4851}(718,\cdot)\) \(\chi_{4851}(751,\cdot)\) \(\chi_{4851}(907,\cdot)\) \(\chi_{4851}(940,\cdot)\) \(\chi_{4851}(1159,\cdot)\) \(\chi_{4851}(1192,\cdot)\) \(\chi_{4851}(1285,\cdot)\) \(\chi_{4851}(1318,\cdot)\) \(\chi_{4851}(1411,\cdot)\) \(\chi_{4851}(1444,\cdot)\) \(\chi_{4851}(1600,\cdot)\) \(\chi_{4851}(1633,\cdot)\) \(\chi_{4851}(1852,\cdot)\) \(\chi_{4851}(1885,\cdot)\) \(\chi_{4851}(2011,\cdot)\) \(\chi_{4851}(2104,\cdot)\) \(\chi_{4851}(2293,\cdot)\) \(\chi_{4851}(2326,\cdot)\) \(\chi_{4851}(2545,\cdot)\) \(\chi_{4851}(2671,\cdot)\) \(\chi_{4851}(2704,\cdot)\) \(\chi_{4851}(2797,\cdot)\) \(\chi_{4851}(2830,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{20}{21}\right),e\left(\frac{3}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(1285, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{22}{105}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{43}{105}\right)\)