Dirichlet character \(\chi_{8664}(1907,\cdot)\)

• Label: 8664.1907
• Modulus: $8664$
• Conductor: $8664$
• Order: $114$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(8664\)
Conductor:	\(8664\)
Order:	\(114\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8664.cy

\(\chi_{8664}(11,\cdot)\) \(\chi_{8664}(83,\cdot)\) \(\chi_{8664}(467,\cdot)\) \(\chi_{8664}(539,\cdot)\) \(\chi_{8664}(923,\cdot)\) \(\chi_{8664}(995,\cdot)\) \(\chi_{8664}(1379,\cdot)\) \(\chi_{8664}(1451,\cdot)\) \(\chi_{8664}(1835,\cdot)\) \(\chi_{8664}(1907,\cdot)\) \(\chi_{8664}(2291,\cdot)\) \(\chi_{8664}(2363,\cdot)\) \(\chi_{8664}(2747,\cdot)\) \(\chi_{8664}(3203,\cdot)\) \(\chi_{8664}(3275,\cdot)\) \(\chi_{8664}(3659,\cdot)\) \(\chi_{8664}(3731,\cdot)\) \(\chi_{8664}(4115,\cdot)\) \(\chi_{8664}(4187,\cdot)\) \(\chi_{8664}(4571,\cdot)\) \(\chi_{8664}(4643,\cdot)\) \(\chi_{8664}(5027,\cdot)\) \(\chi_{8664}(5099,\cdot)\) \(\chi_{8664}(5555,\cdot)\) \(\chi_{8664}(5939,\cdot)\) \(\chi_{8664}(6011,\cdot)\) \(\chi_{8664}(6395,\cdot)\) \(\chi_{8664}(6467,\cdot)\) \(\chi_{8664}(6851,\cdot)\) \(\chi_{8664}(6923,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{57})$
Fixed field:	Number field defined by a degree 114 polynomial (not computed)

Values on generators

\((2167,4333,5777,8305)\) → \((-1,-1,-1,e\left(\frac{4}{57}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 8664 }(1907, a) \)	\(1\)	\(1\)	\(e\left(\frac{16}{57}\right)\)	\(e\left(\frac{1}{38}\right)\)	\(e\left(\frac{25}{38}\right)\)	\(e\left(\frac{67}{114}\right)\)	\(e\left(\frac{41}{114}\right)\)	\(e\left(\frac{14}{57}\right)\)	\(e\left(\frac{32}{57}\right)\)	\(e\left(\frac{11}{57}\right)\)	\(e\left(\frac{29}{38}\right)\)	\(e\left(\frac{35}{114}\right)\)