Dirichlet character \(\chi_{6800}(1091,\cdot)\)

• Label: 6800.1091
• Modulus: $6800$
• Conductor: $6800$
• Order: $80$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6800\)
Conductor:	\(6800\)
Order:	\(80\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6800.kk

\(\chi_{6800}(11,\cdot)\) \(\chi_{6800}(91,\cdot)\) \(\chi_{6800}(131,\cdot)\) \(\chi_{6800}(371,\cdot)\) \(\chi_{6800}(571,\cdot)\) \(\chi_{6800}(891,\cdot)\) \(\chi_{6800}(1091,\cdot)\) \(\chi_{6800}(1331,\cdot)\) \(\chi_{6800}(1371,\cdot)\) \(\chi_{6800}(1491,\cdot)\) \(\chi_{6800}(1731,\cdot)\) \(\chi_{6800}(1931,\cdot)\) \(\chi_{6800}(2691,\cdot)\) \(\chi_{6800}(2731,\cdot)\) \(\chi_{6800}(2811,\cdot)\) \(\chi_{6800}(3091,\cdot)\) \(\chi_{6800}(3291,\cdot)\) \(\chi_{6800}(3611,\cdot)\) \(\chi_{6800}(3811,\cdot)\) \(\chi_{6800}(4091,\cdot)\) \(\chi_{6800}(4171,\cdot)\) \(\chi_{6800}(4211,\cdot)\) \(\chi_{6800}(4971,\cdot)\) \(\chi_{6800}(5171,\cdot)\) \(\chi_{6800}(5411,\cdot)\) \(\chi_{6800}(5531,\cdot)\) \(\chi_{6800}(5571,\cdot)\) \(\chi_{6800}(5811,\cdot)\) \(\chi_{6800}(6011,\cdot)\) \(\chi_{6800}(6331,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{80})$
Fixed field:	Number field defined by a degree 80 polynomial

Values on generators

\((5951,1701,2177,1601)\) → \((-1,-i,e\left(\frac{1}{5}\right),e\left(\frac{1}{16}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(19\)	\(21\)	\(23\)	\(27\)	\(29\)
\( \chi_{ 6800 }(1091, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{80}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{71}{80}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{11}{80}\right)\)	\(e\left(\frac{51}{80}\right)\)	\(e\left(\frac{37}{80}\right)\)