Dirichlet character \(\chi_{19404}(151,\cdot)\)

• Label: 19404.151
• Modulus: $19404$
• Conductor: $19404$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(19404\)
Conductor:	\(19404\)
Order:	\(210\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 19404.kx

\(\chi_{19404}(151,\cdot)\) \(\chi_{19404}(403,\cdot)\) \(\chi_{19404}(1003,\cdot)\) \(\chi_{19404}(1663,\cdot)\) \(\chi_{19404}(2263,\cdot)\) \(\chi_{19404}(2515,\cdot)\) \(\chi_{19404}(2767,\cdot)\) \(\chi_{19404}(2923,\cdot)\) \(\chi_{19404}(3175,\cdot)\) \(\chi_{19404}(3427,\cdot)\) \(\chi_{19404}(3775,\cdot)\) \(\chi_{19404}(4435,\cdot)\) \(\chi_{19404}(5035,\cdot)\) \(\chi_{19404}(5287,\cdot)\) \(\chi_{19404}(5539,\cdot)\) \(\chi_{19404}(5695,\cdot)\) \(\chi_{19404}(6199,\cdot)\) \(\chi_{19404}(7207,\cdot)\) \(\chi_{19404}(7807,\cdot)\) \(\chi_{19404}(8059,\cdot)\) \(\chi_{19404}(8467,\cdot)\) \(\chi_{19404}(8719,\cdot)\) \(\chi_{19404}(8971,\cdot)\) \(\chi_{19404}(9319,\cdot)\) \(\chi_{19404}(9979,\cdot)\) \(\chi_{19404}(10579,\cdot)\) \(\chi_{19404}(10831,\cdot)\) \(\chi_{19404}(11083,\cdot)\) \(\chi_{19404}(11491,\cdot)\) \(\chi_{19404}(11743,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{105})$
Fixed field:	Number field defined by a degree 210 polynomial (not computed)

Values on generators

\((9703,4313,9901,5293)\) → \((-1,e\left(\frac{2}{3}\right),e\left(\frac{5}{21}\right),e\left(\frac{3}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 19404 }(151, a) \)	\(1\)	\(1\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{103}{210}\right)\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{11}{210}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{169}{210}\right)\)