Dirichlet character \(\chi_{6075}(4133,\cdot)\)

• Label: 6075.4133
• Modulus: $6075$
• Conductor: $6075$
• Order: $1620$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6075\)
Conductor:	\(6075\)
Order:	\(1620\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6075.cg

\(\chi_{6075}(2,\cdot)\) \(\chi_{6075}(23,\cdot)\) \(\chi_{6075}(38,\cdot)\) \(\chi_{6075}(47,\cdot)\) \(\chi_{6075}(77,\cdot)\) \(\chi_{6075}(83,\cdot)\) \(\chi_{6075}(92,\cdot)\) \(\chi_{6075}(113,\cdot)\) \(\chi_{6075}(122,\cdot)\) \(\chi_{6075}(128,\cdot)\) \(\chi_{6075}(137,\cdot)\) \(\chi_{6075}(158,\cdot)\) \(\chi_{6075}(167,\cdot)\) \(\chi_{6075}(173,\cdot)\) \(\chi_{6075}(203,\cdot)\) \(\chi_{6075}(212,\cdot)\) \(\chi_{6075}(227,\cdot)\) \(\chi_{6075}(248,\cdot)\) \(\chi_{6075}(263,\cdot)\) \(\chi_{6075}(272,\cdot)\) \(\chi_{6075}(302,\cdot)\) \(\chi_{6075}(308,\cdot)\) \(\chi_{6075}(317,\cdot)\) \(\chi_{6075}(338,\cdot)\) \(\chi_{6075}(347,\cdot)\) \(\chi_{6075}(353,\cdot)\) \(\chi_{6075}(362,\cdot)\) \(\chi_{6075}(383,\cdot)\) \(\chi_{6075}(392,\cdot)\) \(\chi_{6075}(398,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{1620})$
Fixed field:	Number field defined by a degree 1620 polynomial (not computed)

Values on generators

\((4376,1702)\) → \((e\left(\frac{1}{162}\right),e\left(\frac{3}{20}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 6075 }(4133, a) \)	\(1\)	\(1\)	\(e\left(\frac{253}{1620}\right)\)	\(e\left(\frac{253}{810}\right)\)	\(e\left(\frac{59}{324}\right)\)	\(e\left(\frac{253}{540}\right)\)	\(e\left(\frac{119}{810}\right)\)	\(e\left(\frac{1457}{1620}\right)\)	\(e\left(\frac{137}{405}\right)\)	\(e\left(\frac{253}{405}\right)\)	\(e\left(\frac{83}{540}\right)\)	\(e\left(\frac{179}{270}\right)\)