Dirichlet character \(\chi_{1016}(21,\cdot)\)

• Label: 1016.21
• 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.br

\(\chi_{1016}(13,\cdot)\) \(\chi_{1016}(21,\cdot)\) \(\chi_{1016}(69,\cdot)\) \(\chi_{1016}(157,\cdot)\) \(\chi_{1016}(189,\cdot)\) \(\chi_{1016}(197,\cdot)\) \(\chi_{1016}(269,\cdot)\) \(\chi_{1016}(285,\cdot)\) \(\chi_{1016}(325,\cdot)\) \(\chi_{1016}(333,\cdot)\) \(\chi_{1016}(453,\cdot)\) \(\chi_{1016}(469,\cdot)\) \(\chi_{1016}(485,\cdot)\) \(\chi_{1016}(501,\cdot)\) \(\chi_{1016}(517,\cdot)\) \(\chi_{1016}(525,\cdot)\) \(\chi_{1016}(549,\cdot)\) \(\chi_{1016}(557,\cdot)\) \(\chi_{1016}(589,\cdot)\) \(\chi_{1016}(621,\cdot)\) \(\chi_{1016}(629,\cdot)\) \(\chi_{1016}(653,\cdot)\) \(\chi_{1016}(661,\cdot)\) \(\chi_{1016}(669,\cdot)\) \(\chi_{1016}(677,\cdot)\) \(\chi_{1016}(709,\cdot)\) \(\chi_{1016}(717,\cdot)\) \(\chi_{1016}(733,\cdot)\) \(\chi_{1016}(773,\cdot)\) \(\chi_{1016}(797,\cdot)\) ...

Related number fields

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

Values on generators

\((255,509,257)\) → \((1,-1,e\left(\frac{58}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 1016 }(21, a) \)	\(1\)	\(1\)	\(e\left(\frac{53}{126}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{55}{63}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{13}{126}\right)\)	\(e\left(\frac{5}{126}\right)\)	\(e\left(\frac{1}{63}\right)\)	\(e\left(\frac{62}{63}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{37}{126}\right)\)