Dirichlet character χ4140(121,⋅)\chi_{4140}(121,\cdot)

• Label: 4140.121
• Modulus: $4140$
• Conductor: $207$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4140$
Conductor:	$207$
Order:	$33$
Real:	no
Primitive:	no, induced from $\chi_{207}(121,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4140.cm

$\chi_{4140}(121,\cdot)$ $\chi_{4140}(301,\cdot)$ $\chi_{4140}(601,\cdot)$ $\chi_{4140}(841,\cdot)$ $\chi_{4140}(961,\cdot)$ $\chi_{4140}(1021,\cdot)$ $\chi_{4140}(1501,\cdot)$ $\chi_{4140}(1681,\cdot)$ $\chi_{4140}(1741,\cdot)$ $\chi_{4140}(1921,\cdot)$ $\chi_{4140}(2101,\cdot)$ $\chi_{4140}(2221,\cdot)$ $\chi_{4140}(2281,\cdot)$ $\chi_{4140}(2401,\cdot)$ $\chi_{4140}(3121,\cdot)$ $\chi_{4140}(3301,\cdot)$ $\chi_{4140}(3361,\cdot)$ $\chi_{4140}(3481,\cdot)$ $\chi_{4140}(3661,\cdot)$ $\chi_{4140}(3721,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{33})$
Fixed field:	33.33.70011645999218458416472683122408534303895571350166174758601569.1

Values on generators

$(2071,461,1657,3961)$ → $(1,e\left(\frac{1}{3}\right),1,e\left(\frac{9}{11}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 4140 }(121, a)$	$1$	$1$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{23}{33}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{14}{33}\right)$