Basic properties
| Modulus: | \(2695\) | |
| Conductor: | \(2695\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(420\) | 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 2695.do
\(\chi_{2695}(2,\cdot)\) \(\chi_{2695}(72,\cdot)\) \(\chi_{2695}(107,\cdot)\) \(\chi_{2695}(123,\cdot)\) \(\chi_{2695}(172,\cdot)\) \(\chi_{2695}(193,\cdot)\) \(\chi_{2695}(228,\cdot)\) \(\chi_{2695}(233,\cdot)\) \(\chi_{2695}(277,\cdot)\) \(\chi_{2695}(282,\cdot)\) \(\chi_{2695}(303,\cdot)\) \(\chi_{2695}(338,\cdot)\) \(\chi_{2695}(347,\cdot)\) \(\chi_{2695}(382,\cdot)\) \(\chi_{2695}(387,\cdot)\) \(\chi_{2695}(403,\cdot)\) \(\chi_{2695}(457,\cdot)\) \(\chi_{2695}(492,\cdot)\) \(\chi_{2695}(513,\cdot)\) \(\chi_{2695}(578,\cdot)\) \(\chi_{2695}(613,\cdot)\) \(\chi_{2695}(662,\cdot)\) \(\chi_{2695}(688,\cdot)\) \(\chi_{2695}(723,\cdot)\) \(\chi_{2695}(732,\cdot)\) \(\chi_{2695}(767,\cdot)\) \(\chi_{2695}(772,\cdot)\) \(\chi_{2695}(788,\cdot)\) \(\chi_{2695}(842,\cdot)\) \(\chi_{2695}(877,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{420})$ |
| Fixed field: | Number field defined by a degree 420 polynomial (not computed) |
Values on generators
\((2157,1816,981)\) → \((i,e\left(\frac{13}{21}\right),e\left(\frac{1}{10}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
| \( \chi_{ 2695 }(2, a) \) | \(1\) | \(1\) | \(e\left(\frac{187}{420}\right)\) | \(e\left(\frac{71}{420}\right)\) | \(e\left(\frac{187}{210}\right)\) | \(e\left(\frac{43}{70}\right)\) | \(e\left(\frac{47}{140}\right)\) | \(e\left(\frac{71}{210}\right)\) | \(e\left(\frac{5}{84}\right)\) | \(e\left(\frac{39}{140}\right)\) | \(e\left(\frac{82}{105}\right)\) | \(e\left(\frac{263}{420}\right)\) |