Dirichlet character \(\chi_{4719}(100,\cdot)\)

• Label: 4719.100
• Modulus: $4719$
• Conductor: $1573$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4719\)
Conductor:	\(1573\)
Order:	\(33\)
Real:	no
Primitive:	no, induced from \(\chi_{1573}(100,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 4719.ca

\(\chi_{4719}(100,\cdot)\) \(\chi_{4719}(133,\cdot)\) \(\chi_{4719}(529,\cdot)\) \(\chi_{4719}(562,\cdot)\) \(\chi_{4719}(958,\cdot)\) \(\chi_{4719}(991,\cdot)\) \(\chi_{4719}(1387,\cdot)\) \(\chi_{4719}(1420,\cdot)\) \(\chi_{4719}(1849,\cdot)\) \(\chi_{4719}(2245,\cdot)\) \(\chi_{4719}(2278,\cdot)\) \(\chi_{4719}(2674,\cdot)\) \(\chi_{4719}(2707,\cdot)\) \(\chi_{4719}(3103,\cdot)\) \(\chi_{4719}(3136,\cdot)\) \(\chi_{4719}(3532,\cdot)\) \(\chi_{4719}(3565,\cdot)\) \(\chi_{4719}(3961,\cdot)\) \(\chi_{4719}(4390,\cdot)\) \(\chi_{4719}(4423,\cdot)\)

Related number fields

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

Values on generators

\((1574,3511,4357)\) → \((1,e\left(\frac{4}{11}\right),e\left(\frac{2}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 4719 }(100, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{17}{33}\right)\)