Dirichlet character \(\chi_{97020}(30847,\cdot)\)

• Label: 97020.30847
• Modulus: $97020$
• Conductor: $97020$
• Order: $420$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(97020\)
Conductor:	\(97020\)
Order:	\(420\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 97020.bjh

\(\chi_{97020}(103,\cdot)\) \(\chi_{97020}(367,\cdot)\) \(\chi_{97020}(2623,\cdot)\) \(\chi_{97020}(2887,\cdot)\) \(\chi_{97020}(3127,\cdot)\) \(\chi_{97020}(4387,\cdot)\) \(\chi_{97020}(5647,\cdot)\) \(\chi_{97020}(6163,\cdot)\) \(\chi_{97020}(7423,\cdot)\) \(\chi_{97020}(8167,\cdot)\) \(\chi_{97020}(8683,\cdot)\) \(\chi_{97020}(11443,\cdot)\) \(\chi_{97020}(11707,\cdot)\) \(\chi_{97020}(12703,\cdot)\) \(\chi_{97020}(13963,\cdot)\) \(\chi_{97020}(14227,\cdot)\) \(\chi_{97020}(16747,\cdot)\) \(\chi_{97020}(16987,\cdot)\) \(\chi_{97020}(19507,\cdot)\) \(\chi_{97020}(21283,\cdot)\) \(\chi_{97020}(22027,\cdot)\) \(\chi_{97020}(22543,\cdot)\) \(\chi_{97020}(25063,\cdot)\) \(\chi_{97020}(25567,\cdot)\) \(\chi_{97020}(26563,\cdot)\) \(\chi_{97020}(26827,\cdot)\) \(\chi_{97020}(27823,\cdot)\) \(\chi_{97020}(28087,\cdot)\) \(\chi_{97020}(30343,\cdot)\) \(\chi_{97020}(30847,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{420})$
Fixed field:	Number field defined by a degree 420 polynomial (not computed)

Values on generators

\((48511,43121,77617,9901,44101)\) → \((-1,e\left(\frac{1}{3}\right),i,e\left(\frac{17}{42}\right),e\left(\frac{4}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\( \chi_{ 97020 }(30847, a) \)	\(-1\)	\(1\)	\(e\left(\frac{241}{420}\right)\)	\(e\left(\frac{239}{420}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{151}{210}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{337}{420}\right)\)	\(e\left(\frac{29}{210}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{71}{140}\right)\)