Dirichlet character \(\chi_{3840}(1829,\cdot)\)

• Label: 3840.1829
• Modulus: $3840$
• Conductor: $3840$
• Order: $64$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(3840\)
Conductor:	\(3840\)
Order:	\(64\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3840.dy

\(\chi_{3840}(29,\cdot)\) \(\chi_{3840}(149,\cdot)\) \(\chi_{3840}(269,\cdot)\) \(\chi_{3840}(389,\cdot)\) \(\chi_{3840}(509,\cdot)\) \(\chi_{3840}(629,\cdot)\) \(\chi_{3840}(749,\cdot)\) \(\chi_{3840}(869,\cdot)\) \(\chi_{3840}(989,\cdot)\) \(\chi_{3840}(1109,\cdot)\) \(\chi_{3840}(1229,\cdot)\) \(\chi_{3840}(1349,\cdot)\) \(\chi_{3840}(1469,\cdot)\) \(\chi_{3840}(1589,\cdot)\) \(\chi_{3840}(1709,\cdot)\) \(\chi_{3840}(1829,\cdot)\) \(\chi_{3840}(1949,\cdot)\) \(\chi_{3840}(2069,\cdot)\) \(\chi_{3840}(2189,\cdot)\) \(\chi_{3840}(2309,\cdot)\) \(\chi_{3840}(2429,\cdot)\) \(\chi_{3840}(2549,\cdot)\) \(\chi_{3840}(2669,\cdot)\) \(\chi_{3840}(2789,\cdot)\) \(\chi_{3840}(2909,\cdot)\) \(\chi_{3840}(3029,\cdot)\) \(\chi_{3840}(3149,\cdot)\) \(\chi_{3840}(3269,\cdot)\) \(\chi_{3840}(3389,\cdot)\) \(\chi_{3840}(3509,\cdot)\) ...

Related number fields

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

Values on generators

\((511,2821,2561,1537)\) → \((1,e\left(\frac{25}{64}\right),-1,-1)\)

First values

\(a\)	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 3840 }(1829, a) \)	\(-1\)	\(1\)	\(e\left(\frac{13}{32}\right)\)	\(e\left(\frac{45}{64}\right)\)	\(e\left(\frac{55}{64}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{63}{64}\right)\)	\(e\left(\frac{15}{32}\right)\)	\(e\left(\frac{35}{64}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{17}{64}\right)\)	\(e\left(\frac{23}{32}\right)\)