Dirichlet character χ4655(74,⋅)\chi_{4655}(74,\cdot)

• Label: 4655.74
• Modulus: $4655$
• Conductor: $4655$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4655$
Conductor:	$4655$
Order:	$126$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4655.gk

$\chi_{4655}(9,\cdot)$ $\chi_{4655}(44,\cdot)$ $\chi_{4655}(74,\cdot)$ $\chi_{4655}(289,\cdot)$ $\chi_{4655}(529,\cdot)$ $\chi_{4655}(674,\cdot)$ $\chi_{4655}(709,\cdot)$ $\chi_{4655}(739,\cdot)$ $\chi_{4655}(879,\cdot)$ $\chi_{4655}(954,\cdot)$ $\chi_{4655}(1339,\cdot)$ $\chi_{4655}(1374,\cdot)$ $\chi_{4655}(1404,\cdot)$ $\chi_{4655}(1544,\cdot)$ $\chi_{4655}(1619,\cdot)$ $\chi_{4655}(1859,\cdot)$ $\chi_{4655}(2004,\cdot)$ $\chi_{4655}(2069,\cdot)$ $\chi_{4655}(2209,\cdot)$ $\chi_{4655}(2524,\cdot)$ $\chi_{4655}(2669,\cdot)$ $\chi_{4655}(2704,\cdot)$ $\chi_{4655}(2734,\cdot)$ $\chi_{4655}(2874,\cdot)$ $\chi_{4655}(2949,\cdot)$ $\chi_{4655}(3189,\cdot)$ $\chi_{4655}(3334,\cdot)$ $\chi_{4655}(3369,\cdot)$ $\chi_{4655}(3539,\cdot)$ $\chi_{4655}(3614,\cdot)$ ...

Related number fields

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

Values on generators

$(932,3041,2206)$ → $(-1,e\left(\frac{8}{21}\right),e\left(\frac{5}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 4655 }(74, a)$	$1$	$1$	$e\left(\frac{121}{126}\right)$	$e\left(\frac{13}{126}\right)$	$e\left(\frac{58}{63}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{107}{126}\right)$	$e\left(\frac{53}{63}\right)$