Dirichlet character \(\chi_{6075}(1964,\cdot)\)

• Label: 6075.1964
• Modulus: $6075$
• Conductor: $6075$
• Order: $810$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(6075\)
Conductor:	\(6075\)
Order:	\(810\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 6075.ce

\(\chi_{6075}(14,\cdot)\) \(\chi_{6075}(29,\cdot)\) \(\chi_{6075}(59,\cdot)\) \(\chi_{6075}(104,\cdot)\) \(\chi_{6075}(119,\cdot)\) \(\chi_{6075}(164,\cdot)\) \(\chi_{6075}(194,\cdot)\) \(\chi_{6075}(209,\cdot)\) \(\chi_{6075}(239,\cdot)\) \(\chi_{6075}(254,\cdot)\) \(\chi_{6075}(284,\cdot)\) \(\chi_{6075}(329,\cdot)\) \(\chi_{6075}(344,\cdot)\) \(\chi_{6075}(389,\cdot)\) \(\chi_{6075}(419,\cdot)\) \(\chi_{6075}(434,\cdot)\) \(\chi_{6075}(464,\cdot)\) \(\chi_{6075}(479,\cdot)\) \(\chi_{6075}(509,\cdot)\) \(\chi_{6075}(554,\cdot)\) \(\chi_{6075}(569,\cdot)\) \(\chi_{6075}(614,\cdot)\) \(\chi_{6075}(644,\cdot)\) \(\chi_{6075}(659,\cdot)\) \(\chi_{6075}(689,\cdot)\) \(\chi_{6075}(704,\cdot)\) \(\chi_{6075}(734,\cdot)\) \(\chi_{6075}(779,\cdot)\) \(\chi_{6075}(794,\cdot)\) \(\chi_{6075}(839,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{405})$
Fixed field:	Number field defined by a degree 810 polynomial (not computed)

Values on generators

\((4376,1702)\) → \((e\left(\frac{25}{162}\right),e\left(\frac{3}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 6075 }(1964, a) \)	\(-1\)	\(1\)	\(e\left(\frac{184}{405}\right)\)	\(e\left(\frac{368}{405}\right)\)	\(e\left(\frac{49}{162}\right)\)	\(e\left(\frac{49}{135}\right)\)	\(e\left(\frac{383}{810}\right)\)	\(e\left(\frac{757}{810}\right)\)	\(e\left(\frac{613}{810}\right)\)	\(e\left(\frac{331}{405}\right)\)	\(e\left(\frac{134}{135}\right)\)	\(e\left(\frac{64}{135}\right)\)