Basic properties
| Modulus: | \(2656\) | |
| Conductor: | \(2656\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(328\) | 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 2656.be
\(\chi_{2656}(21,\cdot)\) \(\chi_{2656}(29,\cdot)\) \(\chi_{2656}(37,\cdot)\) \(\chi_{2656}(61,\cdot)\) \(\chi_{2656}(69,\cdot)\) \(\chi_{2656}(77,\cdot)\) \(\chi_{2656}(93,\cdot)\) \(\chi_{2656}(109,\cdot)\) \(\chi_{2656}(173,\cdot)\) \(\chi_{2656}(189,\cdot)\) \(\chi_{2656}(197,\cdot)\) \(\chi_{2656}(229,\cdot)\) \(\chi_{2656}(253,\cdot)\) \(\chi_{2656}(261,\cdot)\) \(\chi_{2656}(277,\cdot)\) \(\chi_{2656}(285,\cdot)\) \(\chi_{2656}(293,\cdot)\) \(\chi_{2656}(317,\cdot)\) \(\chi_{2656}(341,\cdot)\) \(\chi_{2656}(349,\cdot)\) \(\chi_{2656}(357,\cdot)\) \(\chi_{2656}(365,\cdot)\) \(\chi_{2656}(373,\cdot)\) \(\chi_{2656}(381,\cdot)\) \(\chi_{2656}(397,\cdot)\) \(\chi_{2656}(413,\cdot)\) \(\chi_{2656}(445,\cdot)\) \(\chi_{2656}(453,\cdot)\) \(\chi_{2656}(485,\cdot)\) \(\chi_{2656}(493,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{328})$ |
| Fixed field: | Number field defined by a degree 328 polynomial (not computed) |
Values on generators
\((831,997,417)\) → \((1,e\left(\frac{3}{8}\right),e\left(\frac{12}{41}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 2656 }(509, a) \) | \(1\) | \(1\) | \(e\left(\frac{65}{328}\right)\) | \(e\left(\frac{91}{328}\right)\) | \(e\left(\frac{15}{164}\right)\) | \(e\left(\frac{65}{164}\right)\) | \(e\left(\frac{295}{328}\right)\) | \(e\left(\frac{53}{328}\right)\) | \(e\left(\frac{39}{82}\right)\) | \(e\left(\frac{73}{82}\right)\) | \(e\left(\frac{125}{328}\right)\) | \(e\left(\frac{95}{328}\right)\) |