Dirichlet character \(\chi_{1449}(25,\cdot)\)

• Label: 1449.25
• Modulus: $1449$
• Conductor: $1449$
• Order: $33$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1449\)
Conductor:	\(1449\)
Order:	\(33\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1449.bw

\(\chi_{1449}(25,\cdot)\) \(\chi_{1449}(58,\cdot)\) \(\chi_{1449}(121,\cdot)\) \(\chi_{1449}(151,\cdot)\) \(\chi_{1449}(340,\cdot)\) \(\chi_{1449}(403,\cdot)\) \(\chi_{1449}(466,\cdot)\) \(\chi_{1449}(499,\cdot)\) \(\chi_{1449}(625,\cdot)\) \(\chi_{1449}(814,\cdot)\) \(\chi_{1449}(844,\cdot)\) \(\chi_{1449}(877,\cdot)\) \(\chi_{1449}(970,\cdot)\) \(\chi_{1449}(1066,\cdot)\) \(\chi_{1449}(1129,\cdot)\) \(\chi_{1449}(1159,\cdot)\) \(\chi_{1449}(1222,\cdot)\) \(\chi_{1449}(1255,\cdot)\) \(\chi_{1449}(1411,\cdot)\) \(\chi_{1449}(1444,\cdot)\)

Related number fields

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

Values on generators

\((1289,829,442)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{2}{3}\right),e\left(\frac{1}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 1449 }(25, a) \)	\(1\)	\(1\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{23}{33}\right)\)