Basic properties
| Modulus: | \(2669\) | |
| Conductor: | \(2669\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(624\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 2669.cr
\(\chi_{2669}(5,\cdot)\) \(\chi_{2669}(6,\cdot)\) \(\chi_{2669}(62,\cdot)\) \(\chi_{2669}(73,\cdot)\) \(\chi_{2669}(80,\cdot)\) \(\chi_{2669}(96,\cdot)\) \(\chi_{2669}(131,\cdot)\) \(\chi_{2669}(163,\cdot)\) \(\chi_{2669}(175,\cdot)\) \(\chi_{2669}(177,\cdot)\) \(\chi_{2669}(210,\cdot)\) \(\chi_{2669}(218,\cdot)\) \(\chi_{2669}(226,\cdot)\) \(\chi_{2669}(244,\cdot)\) \(\chi_{2669}(245,\cdot)\) \(\chi_{2669}(252,\cdot)\) \(\chi_{2669}(294,\cdot)\) \(\chi_{2669}(296,\cdot)\) \(\chi_{2669}(329,\cdot)\) \(\chi_{2669}(334,\cdot)\) \(\chi_{2669}(335,\cdot)\) \(\chi_{2669}(352,\cdot)\) \(\chi_{2669}(367,\cdot)\) \(\chi_{2669}(369,\cdot)\) \(\chi_{2669}(380,\cdot)\) \(\chi_{2669}(388,\cdot)\) \(\chi_{2669}(394,\cdot)\) \(\chi_{2669}(397,\cdot)\) \(\chi_{2669}(398,\cdot)\) \(\chi_{2669}(401,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{624})$ |
| Fixed field: | Number field defined by a degree 624 polynomial (not computed) |
Values on generators
\((1414,2517)\) → \((e\left(\frac{13}{16}\right),e\left(\frac{121}{156}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 2669 }(1015, a) \) | \(1\) | \(1\) | \(e\left(\frac{77}{104}\right)\) | \(e\left(\frac{259}{624}\right)\) | \(e\left(\frac{25}{52}\right)\) | \(e\left(\frac{523}{624}\right)\) | \(e\left(\frac{97}{624}\right)\) | \(e\left(\frac{199}{208}\right)\) | \(e\left(\frac{23}{104}\right)\) | \(e\left(\frac{259}{312}\right)\) | \(e\left(\frac{361}{624}\right)\) | \(e\left(\frac{253}{624}\right)\) |