Dirichlet character \(\chi_{6075}(2221,\cdot)\)

• Label: 6075.2221
• Modulus: $6075$
• Conductor: $6075$
• Order: $405$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6075\)
Conductor:	\(6075\)
Order:	\(405\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6075.ca

\(\chi_{6075}(16,\cdot)\) \(\chi_{6075}(31,\cdot)\) \(\chi_{6075}(61,\cdot)\) \(\chi_{6075}(106,\cdot)\) \(\chi_{6075}(121,\cdot)\) \(\chi_{6075}(166,\cdot)\) \(\chi_{6075}(196,\cdot)\) \(\chi_{6075}(211,\cdot)\) \(\chi_{6075}(241,\cdot)\) \(\chi_{6075}(256,\cdot)\) \(\chi_{6075}(286,\cdot)\) \(\chi_{6075}(331,\cdot)\) \(\chi_{6075}(346,\cdot)\) \(\chi_{6075}(391,\cdot)\) \(\chi_{6075}(421,\cdot)\) \(\chi_{6075}(436,\cdot)\) \(\chi_{6075}(466,\cdot)\) \(\chi_{6075}(481,\cdot)\) \(\chi_{6075}(511,\cdot)\) \(\chi_{6075}(556,\cdot)\) \(\chi_{6075}(571,\cdot)\) \(\chi_{6075}(616,\cdot)\) \(\chi_{6075}(646,\cdot)\) \(\chi_{6075}(661,\cdot)\) \(\chi_{6075}(691,\cdot)\) \(\chi_{6075}(706,\cdot)\) \(\chi_{6075}(736,\cdot)\) \(\chi_{6075}(781,\cdot)\) \(\chi_{6075}(796,\cdot)\) \(\chi_{6075}(841,\cdot)\) ...

Related number fields

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

Values on generators

\((4376,1702)\) → \((e\left(\frac{17}{81}\right),e\left(\frac{3}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 6075 }(2221, a) \)	\(1\)	\(1\)	\(e\left(\frac{328}{405}\right)\)	\(e\left(\frac{251}{405}\right)\)	\(e\left(\frac{56}{81}\right)\)	\(e\left(\frac{58}{135}\right)\)	\(e\left(\frac{403}{405}\right)\)	\(e\left(\frac{32}{405}\right)\)	\(e\left(\frac{203}{405}\right)\)	\(e\left(\frac{97}{405}\right)\)	\(e\left(\frac{98}{135}\right)\)	\(e\left(\frac{73}{135}\right)\)