Dirichlet character χ3328(2907,⋅)\chi_{3328}(2907,\cdot)

• Label: 3328.2907
• 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

$(1535,261,769)$ → $(-1,e\left(\frac{57}{64}\right),i)$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 3328 }(2907, a)$	$1$	$1$	$e\left(\frac{43}{64}\right)$	$e\left(\frac{9}{64}\right)$	$e\left(\frac{5}{32}\right)$	$e\left(\frac{11}{32}\right)$	$e\left(\frac{61}{64}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{15}{64}\right)$	$e\left(\frac{53}{64}\right)$	$e\left(\frac{15}{32}\right)$