Dirichlet character \(\chi_{3328}(3115,\cdot)\)

• Label: 3328.3115
• 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.dc

\(\chi_{3328}(83,\cdot)\) \(\chi_{3328}(203,\cdot)\) \(\chi_{3328}(291,\cdot)\) \(\chi_{3328}(411,\cdot)\) \(\chi_{3328}(499,\cdot)\) \(\chi_{3328}(619,\cdot)\) \(\chi_{3328}(707,\cdot)\) \(\chi_{3328}(827,\cdot)\) \(\chi_{3328}(915,\cdot)\) \(\chi_{3328}(1035,\cdot)\) \(\chi_{3328}(1123,\cdot)\) \(\chi_{3328}(1243,\cdot)\) \(\chi_{3328}(1331,\cdot)\) \(\chi_{3328}(1451,\cdot)\) \(\chi_{3328}(1539,\cdot)\) \(\chi_{3328}(1659,\cdot)\) \(\chi_{3328}(1747,\cdot)\) \(\chi_{3328}(1867,\cdot)\) \(\chi_{3328}(1955,\cdot)\) \(\chi_{3328}(2075,\cdot)\) \(\chi_{3328}(2163,\cdot)\) \(\chi_{3328}(2283,\cdot)\) \(\chi_{3328}(2371,\cdot)\) \(\chi_{3328}(2491,\cdot)\) \(\chi_{3328}(2579,\cdot)\) \(\chi_{3328}(2699,\cdot)\) \(\chi_{3328}(2787,\cdot)\) \(\chi_{3328}(2907,\cdot)\) \(\chi_{3328}(2995,\cdot)\) \(\chi_{3328}(3115,\cdot)\) ...

Related number fields

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

Values on generators

\((1535,261,769)\) → \((-1,e\left(\frac{61}{64}\right),i)\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(15\)	\(17\)	\(19\)	\(21\)	\(23\)
\( \chi_{ 3328 }(3115, a) \)	\(1\)	\(1\)	\(e\left(\frac{55}{64}\right)\)	\(e\left(\frac{13}{64}\right)\)	\(e\left(\frac{25}{32}\right)\)	\(e\left(\frac{23}{32}\right)\)	\(e\left(\frac{17}{64}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{43}{64}\right)\)	\(e\left(\frac{41}{64}\right)\)	\(e\left(\frac{11}{32}\right)\)