Dirichlet character \(\chi_{1225}(1191,\cdot)\)

• Label: 1225.1191
• Modulus: $1225$
• Conductor: $1225$
• Order: $35$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1225\)
Conductor:	\(1225\)
Order:	\(35\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1225.bd

\(\chi_{1225}(36,\cdot)\) \(\chi_{1225}(71,\cdot)\) \(\chi_{1225}(106,\cdot)\) \(\chi_{1225}(141,\cdot)\) \(\chi_{1225}(211,\cdot)\) \(\chi_{1225}(281,\cdot)\) \(\chi_{1225}(316,\cdot)\) \(\chi_{1225}(386,\cdot)\) \(\chi_{1225}(421,\cdot)\) \(\chi_{1225}(456,\cdot)\) \(\chi_{1225}(561,\cdot)\) \(\chi_{1225}(596,\cdot)\) \(\chi_{1225}(631,\cdot)\) \(\chi_{1225}(666,\cdot)\) \(\chi_{1225}(771,\cdot)\) \(\chi_{1225}(806,\cdot)\) \(\chi_{1225}(841,\cdot)\) \(\chi_{1225}(911,\cdot)\) \(\chi_{1225}(946,\cdot)\) \(\chi_{1225}(1016,\cdot)\) \(\chi_{1225}(1086,\cdot)\) \(\chi_{1225}(1121,\cdot)\) \(\chi_{1225}(1156,\cdot)\) \(\chi_{1225}(1191,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{35})$
Fixed field:	Number field defined by a degree 35 polynomial

Values on generators

\((1177,101)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{5}{7}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)	\(16\)
\( \chi_{ 1225 }(1191, a) \)	\(1\)	\(1\)	\(e\left(\frac{27}{35}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{19}{35}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{27}{35}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{3}{35}\right)\)