Dirichlet character \(\chi_{4275}(2612,\cdot)\)

• Label: 4275.2612
• Modulus: $4275$
• Conductor: $4275$
• Order: $180$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4275\)
Conductor:	\(4275\)
Order:	\(180\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4275.hi

\(\chi_{4275}(47,\cdot)\) \(\chi_{4275}(137,\cdot)\) \(\chi_{4275}(272,\cdot)\) \(\chi_{4275}(302,\cdot)\) \(\chi_{4275}(308,\cdot)\) \(\chi_{4275}(347,\cdot)\) \(\chi_{4275}(473,\cdot)\) \(\chi_{4275}(662,\cdot)\) \(\chi_{4275}(833,\cdot)\) \(\chi_{4275}(902,\cdot)\) \(\chi_{4275}(992,\cdot)\) \(\chi_{4275}(1073,\cdot)\) \(\chi_{4275}(1127,\cdot)\) \(\chi_{4275}(1163,\cdot)\) \(\chi_{4275}(1202,\cdot)\) \(\chi_{4275}(1298,\cdot)\) \(\chi_{4275}(1328,\cdot)\) \(\chi_{4275}(1373,\cdot)\) \(\chi_{4275}(1517,\cdot)\) \(\chi_{4275}(1688,\cdot)\) \(\chi_{4275}(1847,\cdot)\) \(\chi_{4275}(1928,\cdot)\) \(\chi_{4275}(2012,\cdot)\) \(\chi_{4275}(2153,\cdot)\) \(\chi_{4275}(2183,\cdot)\) \(\chi_{4275}(2228,\cdot)\) \(\chi_{4275}(2372,\cdot)\) \(\chi_{4275}(2612,\cdot)\) \(\chi_{4275}(2702,\cdot)\) \(\chi_{4275}(2783,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

\((1901,1027,1351)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{9}{20}\right),e\left(\frac{4}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(22\)
\( \chi_{ 4275 }(2612, a) \)	\(1\)	\(1\)	\(e\left(\frac{11}{180}\right)\)	\(e\left(\frac{11}{90}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{19}{180}\right)\)	\(e\left(\frac{29}{45}\right)\)	\(e\left(\frac{11}{45}\right)\)	\(e\left(\frac{143}{180}\right)\)	\(e\left(\frac{137}{180}\right)\)