Dirichlet character \(\chi_{4851}(1535,\cdot)\)

• Label: 4851.1535
• 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.gc

\(\chi_{4851}(74,\cdot)\) \(\chi_{4851}(149,\cdot)\) \(\chi_{4851}(200,\cdot)\) \(\chi_{4851}(326,\cdot)\) \(\chi_{4851}(338,\cdot)\) \(\chi_{4851}(464,\cdot)\) \(\chi_{4851}(578,\cdot)\) \(\chi_{4851}(590,\cdot)\) \(\chi_{4851}(767,\cdot)\) \(\chi_{4851}(842,\cdot)\) \(\chi_{4851}(893,\cdot)\) \(\chi_{4851}(1019,\cdot)\) \(\chi_{4851}(1031,\cdot)\) \(\chi_{4851}(1271,\cdot)\) \(\chi_{4851}(1283,\cdot)\) \(\chi_{4851}(1460,\cdot)\) \(\chi_{4851}(1535,\cdot)\) \(\chi_{4851}(1712,\cdot)\) \(\chi_{4851}(1724,\cdot)\) \(\chi_{4851}(1850,\cdot)\) \(\chi_{4851}(1964,\cdot)\) \(\chi_{4851}(1976,\cdot)\) \(\chi_{4851}(2153,\cdot)\) \(\chi_{4851}(2228,\cdot)\) \(\chi_{4851}(2279,\cdot)\) \(\chi_{4851}(2405,\cdot)\) \(\chi_{4851}(2417,\cdot)\) \(\chi_{4851}(2543,\cdot)\) \(\chi_{4851}(2657,\cdot)\) \(\chi_{4851}(2669,\cdot)\) ...

Related number fields

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

Values on generators

\((4313,199,442)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{10}{21}\right),e\left(\frac{9}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 4851 }(1535, a) \)	\(1\)	\(1\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{121}{210}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{59}{210}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{169}{210}\right)\)