Basic properties
Modulus: | \(5445\) | |
Conductor: | \(5445\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(660\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 5445.dp
\(\chi_{5445}(2,\cdot)\) \(\chi_{5445}(68,\cdot)\) \(\chi_{5445}(83,\cdot)\) \(\chi_{5445}(128,\cdot)\) \(\chi_{5445}(167,\cdot)\) \(\chi_{5445}(173,\cdot)\) \(\chi_{5445}(182,\cdot)\) \(\chi_{5445}(227,\cdot)\) \(\chi_{5445}(248,\cdot)\) \(\chi_{5445}(272,\cdot)\) \(\chi_{5445}(293,\cdot)\) \(\chi_{5445}(338,\cdot)\) \(\chi_{5445}(347,\cdot)\) \(\chi_{5445}(392,\cdot)\) \(\chi_{5445}(398,\cdot)\) \(\chi_{5445}(437,\cdot)\) \(\chi_{5445}(497,\cdot)\) \(\chi_{5445}(563,\cdot)\) \(\chi_{5445}(623,\cdot)\) \(\chi_{5445}(662,\cdot)\) \(\chi_{5445}(668,\cdot)\) \(\chi_{5445}(677,\cdot)\) \(\chi_{5445}(722,\cdot)\) \(\chi_{5445}(743,\cdot)\) \(\chi_{5445}(767,\cdot)\) \(\chi_{5445}(788,\cdot)\) \(\chi_{5445}(833,\cdot)\) \(\chi_{5445}(842,\cdot)\) \(\chi_{5445}(893,\cdot)\) \(\chi_{5445}(932,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{660})$ |
Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((3026,4357,3511)\) → \((e\left(\frac{1}{6}\right),i,e\left(\frac{1}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
\( \chi_{ 5445 }(2, a) \) | \(-1\) | \(1\) | \(e\left(\frac{281}{660}\right)\) | \(e\left(\frac{281}{330}\right)\) | \(e\left(\frac{647}{660}\right)\) | \(e\left(\frac{61}{220}\right)\) | \(e\left(\frac{1}{660}\right)\) | \(e\left(\frac{67}{165}\right)\) | \(e\left(\frac{116}{165}\right)\) | \(e\left(\frac{43}{220}\right)\) | \(e\left(\frac{14}{55}\right)\) | \(e\left(\frac{29}{132}\right)\) |