Dirichlet character \(\chi_{4851}(1973,\cdot)\)

• Label: 4851.1973
• 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.fu

\(\chi_{4851}(20,\cdot)\) \(\chi_{4851}(104,\cdot)\) \(\chi_{4851}(335,\cdot)\) \(\chi_{4851}(356,\cdot)\) \(\chi_{4851}(482,\cdot)\) \(\chi_{4851}(608,\cdot)\) \(\chi_{4851}(713,\cdot)\) \(\chi_{4851}(797,\cdot)\) \(\chi_{4851}(839,\cdot)\) \(\chi_{4851}(1049,\cdot)\) \(\chi_{4851}(1280,\cdot)\) \(\chi_{4851}(1301,\cdot)\) \(\chi_{4851}(1406,\cdot)\) \(\chi_{4851}(1490,\cdot)\) \(\chi_{4851}(1532,\cdot)\) \(\chi_{4851}(1721,\cdot)\) \(\chi_{4851}(1742,\cdot)\) \(\chi_{4851}(1868,\cdot)\) \(\chi_{4851}(1973,\cdot)\) \(\chi_{4851}(1994,\cdot)\) \(\chi_{4851}(2099,\cdot)\) \(\chi_{4851}(2183,\cdot)\) \(\chi_{4851}(2225,\cdot)\) \(\chi_{4851}(2414,\cdot)\) \(\chi_{4851}(2435,\cdot)\) \(\chi_{4851}(2561,\cdot)\) \(\chi_{4851}(2666,\cdot)\) \(\chi_{4851}(2687,\cdot)\) \(\chi_{4851}(2876,\cdot)\) \(\chi_{4851}(2918,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{11}{14}\right),e\left(\frac{1}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(1973, a) \)	\(1\)	\(1\)	\(e\left(\frac{167}{210}\right)\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{44}{105}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{97}{210}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{33}{35}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{105}\right)\)