Dirichlet character \(\chi_{1815}(17,\cdot)\)

• Label: 1815.17
• Modulus: $1815$
• Conductor: $1815$
• Order: $220$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(1815\)
Conductor:	\(1815\)
Order:	\(220\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1815.bv

\(\chi_{1815}(2,\cdot)\) \(\chi_{1815}(8,\cdot)\) \(\chi_{1815}(17,\cdot)\) \(\chi_{1815}(62,\cdot)\) \(\chi_{1815}(68,\cdot)\) \(\chi_{1815}(83,\cdot)\) \(\chi_{1815}(107,\cdot)\) \(\chi_{1815}(128,\cdot)\) \(\chi_{1815}(167,\cdot)\) \(\chi_{1815}(173,\cdot)\) \(\chi_{1815}(182,\cdot)\) \(\chi_{1815}(227,\cdot)\) \(\chi_{1815}(248,\cdot)\) \(\chi_{1815}(272,\cdot)\) \(\chi_{1815}(293,\cdot)\) \(\chi_{1815}(332,\cdot)\) \(\chi_{1815}(338,\cdot)\) \(\chi_{1815}(347,\cdot)\) \(\chi_{1815}(392,\cdot)\) \(\chi_{1815}(398,\cdot)\) \(\chi_{1815}(413,\cdot)\) \(\chi_{1815}(437,\cdot)\) \(\chi_{1815}(458,\cdot)\) \(\chi_{1815}(497,\cdot)\) \(\chi_{1815}(503,\cdot)\) \(\chi_{1815}(512,\cdot)\) \(\chi_{1815}(557,\cdot)\) \(\chi_{1815}(563,\cdot)\) \(\chi_{1815}(623,\cdot)\) \(\chi_{1815}(662,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{220})$
Fixed field:	Number field defined by a degree 220 polynomial (not computed)

Values on generators

\((1211,727,1696)\) → \((-1,i,e\left(\frac{49}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)	\(23\)
\( \chi_{ 1815 }(17, a) \)	\(-1\)	\(1\)	\(e\left(\frac{43}{220}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{127}{220}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{19}{44}\right)\)