Dirichlet character \(\chi_{3328}(1019,\cdot)\)

• Label: 3328.1019
• Modulus: $3328$
• Conductor: $3328$
• Order: $64$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3328\)
Conductor:	\(3328\)
Order:	\(64\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3328.di

\(\chi_{3328}(99,\cdot)\) \(\chi_{3328}(187,\cdot)\) \(\chi_{3328}(307,\cdot)\) \(\chi_{3328}(395,\cdot)\) \(\chi_{3328}(515,\cdot)\) \(\chi_{3328}(603,\cdot)\) \(\chi_{3328}(723,\cdot)\) \(\chi_{3328}(811,\cdot)\) \(\chi_{3328}(931,\cdot)\) \(\chi_{3328}(1019,\cdot)\) \(\chi_{3328}(1139,\cdot)\) \(\chi_{3328}(1227,\cdot)\) \(\chi_{3328}(1347,\cdot)\) \(\chi_{3328}(1435,\cdot)\) \(\chi_{3328}(1555,\cdot)\) \(\chi_{3328}(1643,\cdot)\) \(\chi_{3328}(1763,\cdot)\) \(\chi_{3328}(1851,\cdot)\) \(\chi_{3328}(1971,\cdot)\) \(\chi_{3328}(2059,\cdot)\) \(\chi_{3328}(2179,\cdot)\) \(\chi_{3328}(2267,\cdot)\) \(\chi_{3328}(2387,\cdot)\) \(\chi_{3328}(2475,\cdot)\) \(\chi_{3328}(2595,\cdot)\) \(\chi_{3328}(2683,\cdot)\) \(\chi_{3328}(2803,\cdot)\) \(\chi_{3328}(2891,\cdot)\) \(\chi_{3328}(3011,\cdot)\) \(\chi_{3328}(3099,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{64})$
Fixed field:	Number field defined by a degree 64 polynomial

Values on generators

\((1535,261,769)\) → \((-1,e\left(\frac{1}{64}\right),-i)\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(15\)	\(17\)	\(19\)	\(21\)	\(23\)
\( \chi_{ 3328 }(1019, a) \)	\(1\)	\(1\)	\(e\left(\frac{3}{64}\right)\)	\(e\left(\frac{49}{64}\right)\)	\(e\left(\frac{29}{32}\right)\)	\(e\left(\frac{3}{32}\right)\)	\(e\left(\frac{5}{64}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{39}{64}\right)\)	\(e\left(\frac{61}{64}\right)\)	\(e\left(\frac{7}{32}\right)\)