Dirichlet character \(\chi_{1016}(283,\cdot)\)

• Label: 1016.283
• Modulus: $1016$
• Conductor: $1016$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1016\)
Conductor:	\(1016\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1016.bt

\(\chi_{1016}(3,\cdot)\) \(\chi_{1016}(43,\cdot)\) \(\chi_{1016}(67,\cdot)\) \(\chi_{1016}(83,\cdot)\) \(\chi_{1016}(91,\cdot)\) \(\chi_{1016}(139,\cdot)\) \(\chi_{1016}(219,\cdot)\) \(\chi_{1016}(243,\cdot)\) \(\chi_{1016}(283,\cdot)\) \(\chi_{1016}(299,\cdot)\) \(\chi_{1016}(307,\cdot)\) \(\chi_{1016}(339,\cdot)\) \(\chi_{1016}(347,\cdot)\) \(\chi_{1016}(355,\cdot)\) \(\chi_{1016}(363,\cdot)\) \(\chi_{1016}(387,\cdot)\) \(\chi_{1016}(395,\cdot)\) \(\chi_{1016}(427,\cdot)\) \(\chi_{1016}(459,\cdot)\) \(\chi_{1016}(467,\cdot)\) \(\chi_{1016}(491,\cdot)\) \(\chi_{1016}(499,\cdot)\) \(\chi_{1016}(515,\cdot)\) \(\chi_{1016}(531,\cdot)\) \(\chi_{1016}(547,\cdot)\) \(\chi_{1016}(563,\cdot)\) \(\chi_{1016}(683,\cdot)\) \(\chi_{1016}(691,\cdot)\) \(\chi_{1016}(731,\cdot)\) \(\chi_{1016}(747,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

\((255,509,257)\) → \((-1,-1,e\left(\frac{113}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 1016 }(283, a) \)	\(1\)	\(1\)	\(e\left(\frac{113}{126}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{40}{63}\right)\)	\(e\left(\frac{50}{63}\right)\)	\(e\left(\frac{62}{63}\right)\)	\(e\left(\frac{101}{126}\right)\)	\(e\left(\frac{53}{126}\right)\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{67}{126}\right)\)