Dirichlet character \(\chi_{4851}(1436,\cdot)\)

• Label: 4851.1436
• 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.fn

\(\chi_{4851}(29,\cdot)\) \(\chi_{4851}(239,\cdot)\) \(\chi_{4851}(281,\cdot)\) \(\chi_{4851}(365,\cdot)\) \(\chi_{4851}(470,\cdot)\) \(\chi_{4851}(596,\cdot)\) \(\chi_{4851}(722,\cdot)\) \(\chi_{4851}(743,\cdot)\) \(\chi_{4851}(974,\cdot)\) \(\chi_{4851}(1058,\cdot)\) \(\chi_{4851}(1163,\cdot)\) \(\chi_{4851}(1184,\cdot)\) \(\chi_{4851}(1289,\cdot)\) \(\chi_{4851}(1415,\cdot)\) \(\chi_{4851}(1436,\cdot)\) \(\chi_{4851}(1625,\cdot)\) \(\chi_{4851}(1751,\cdot)\) \(\chi_{4851}(1856,\cdot)\) \(\chi_{4851}(1877,\cdot)\) \(\chi_{4851}(1982,\cdot)\) \(\chi_{4851}(2129,\cdot)\) \(\chi_{4851}(2318,\cdot)\) \(\chi_{4851}(2360,\cdot)\) \(\chi_{4851}(2444,\cdot)\) \(\chi_{4851}(2570,\cdot)\) \(\chi_{4851}(2675,\cdot)\) \(\chi_{4851}(2801,\cdot)\) \(\chi_{4851}(2822,\cdot)\) \(\chi_{4851}(3011,\cdot)\) \(\chi_{4851}(3053,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{5}{7}\right),e\left(\frac{9}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(1436, a) \)	\(1\)	\(1\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{64}{105}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{29}{210}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{19}{210}\right)\)