Dirichlet character χ4655(977,⋅)\chi_{4655}(977,\cdot)

• Label: 4655.977
• Modulus: $4655$
• Conductor: $4655$
• Order: $84$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4655$
Conductor:	$4655$
Order:	$84$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4655.gc

$\chi_{4655}(107,\cdot)$ $\chi_{4655}(578,\cdot)$ $\chi_{4655}(772,\cdot)$ $\chi_{4655}(977,\cdot)$ $\chi_{4655}(1038,\cdot)$ $\chi_{4655}(1437,\cdot)$ $\chi_{4655}(1642,\cdot)$ $\chi_{4655}(1703,\cdot)$ $\chi_{4655}(1908,\cdot)$ $\chi_{4655}(2102,\cdot)$ $\chi_{4655}(2307,\cdot)$ $\chi_{4655}(2368,\cdot)$ $\chi_{4655}(2573,\cdot)$ $\chi_{4655}(2767,\cdot)$ $\chi_{4655}(2972,\cdot)$ $\chi_{4655}(3033,\cdot)$ $\chi_{4655}(3238,\cdot)$ $\chi_{4655}(3432,\cdot)$ $\chi_{4655}(3637,\cdot)$ $\chi_{4655}(3698,\cdot)$ $\chi_{4655}(3903,\cdot)$ $\chi_{4655}(4302,\cdot)$ $\chi_{4655}(4363,\cdot)$ $\chi_{4655}(4568,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{84})$
Fixed field:	Number field defined by a degree 84 polynomial

Values on generators

$(932,3041,2206)$ → $(i,e\left(\frac{11}{21}\right),e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 4655 }(977, a)$	$1$	$1$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{1}{7}\right)$