Dirichlet character χ2835(191,⋅)\chi_{2835}(191,\cdot)

• Label: 2835.191
• Modulus: $2835$
• Conductor: $567$
• Order: $54$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2835$
Conductor:	$567$
Order:	$54$
Real:	no
Primitive:	no, induced from $\chi_{567}(191,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2835.ek

$\chi_{2835}(191,\cdot)$ $\chi_{2835}(221,\cdot)$ $\chi_{2835}(506,\cdot)$ $\chi_{2835}(536,\cdot)$ $\chi_{2835}(821,\cdot)$ $\chi_{2835}(851,\cdot)$ $\chi_{2835}(1136,\cdot)$ $\chi_{2835}(1166,\cdot)$ $\chi_{2835}(1451,\cdot)$ $\chi_{2835}(1481,\cdot)$ $\chi_{2835}(1766,\cdot)$ $\chi_{2835}(1796,\cdot)$ $\chi_{2835}(2081,\cdot)$ $\chi_{2835}(2111,\cdot)$ $\chi_{2835}(2396,\cdot)$ $\chi_{2835}(2426,\cdot)$ $\chi_{2835}(2711,\cdot)$ $\chi_{2835}(2741,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{27})$
Fixed field:	Number field defined by a degree 54 polynomial

Values on generators

$(1541,1702,2026)$ → $(e\left(\frac{37}{54}\right),1,e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$17$	$19$	$22$	$23$
$\chi_{ 2835 }(191, a)$	$-1$	$1$	$e\left(\frac{19}{54}\right)$	$e\left(\frac{19}{27}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{13}{54}\right)$	$e\left(\frac{13}{27}\right)$	$e\left(\frac{11}{27}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{16}{27}\right)$	$e\left(\frac{11}{54}\right)$