Dirichlet character χ6900(2579,⋅)\chi_{6900}(2579,\cdot)

• Label: 6900.2579
• Modulus: $6900$
• Conductor: $6900$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$6900$
Conductor:	$6900$
Order:	$110$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6900.da

$\chi_{6900}(59,\cdot)$ $\chi_{6900}(119,\cdot)$ $\chi_{6900}(179,\cdot)$ $\chi_{6900}(239,\cdot)$ $\chi_{6900}(719,\cdot)$ $\chi_{6900}(959,\cdot)$ $\chi_{6900}(1139,\cdot)$ $\chi_{6900}(1319,\cdot)$ $\chi_{6900}(1439,\cdot)$ $\chi_{6900}(1559,\cdot)$ $\chi_{6900}(1619,\cdot)$ $\chi_{6900}(2279,\cdot)$ $\chi_{6900}(2339,\cdot)$ $\chi_{6900}(2519,\cdot)$ $\chi_{6900}(2579,\cdot)$ $\chi_{6900}(2819,\cdot)$ $\chi_{6900}(2879,\cdot)$ $\chi_{6900}(2939,\cdot)$ $\chi_{6900}(3479,\cdot)$ $\chi_{6900}(3659,\cdot)$ $\chi_{6900}(3719,\cdot)$ $\chi_{6900}(3959,\cdot)$ $\chi_{6900}(4079,\cdot)$ $\chi_{6900}(4259,\cdot)$ $\chi_{6900}(4319,\cdot)$ $\chi_{6900}(4379,\cdot)$ $\chi_{6900}(4859,\cdot)$ $\chi_{6900}(5039,\cdot)$ $\chi_{6900}(5279,\cdot)$ $\chi_{6900}(5339,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

$(3451,4601,277,1201)$ → $(-1,-1,e\left(\frac{1}{10}\right),e\left(\frac{8}{11}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 6900 }(2579, a)$	$1$	$1$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{7}{11}\right)$