Dirichlet character χ2898(79,⋅)\chi_{2898}(79,\cdot)

• Label: 2898.79
• Modulus: $2898$
• Conductor: $1449$
• Order: $66$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2898$
Conductor:	$1449$
Order:	$66$
Real:	no
Primitive:	no, induced from $\chi_{1449}(79,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2898.da

$\chi_{2898}(67,\cdot)$ $\chi_{2898}(79,\cdot)$ $\chi_{2898}(205,\cdot)$ $\chi_{2898}(319,\cdot)$ $\chi_{2898}(457,\cdot)$ $\chi_{2898}(571,\cdot)$ $\chi_{2898}(697,\cdot)$ $\chi_{2898}(709,\cdot)$ $\chi_{2898}(835,\cdot)$ $\chi_{2898}(1075,\cdot)$ $\chi_{2898}(1201,\cdot)$ $\chi_{2898}(1213,\cdot)$ $\chi_{2898}(1339,\cdot)$ $\chi_{2898}(1579,\cdot)$ $\chi_{2898}(1717,\cdot)$ $\chi_{2898}(1831,\cdot)$ $\chi_{2898}(1969,\cdot)$ $\chi_{2898}(2587,\cdot)$ $\chi_{2898}(2725,\cdot)$ $\chi_{2898}(2839,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{33})$
Fixed field:	Number field defined by a degree 66 polynomial

Values on generators

$(1289,829,1891)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{1}{3}\right),e\left(\frac{3}{22}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 2898 }(79, a)$	$-1$	$1$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{32}{33}\right)$