Basic properties
| Modulus: | \(3025\) | |
| Conductor: | \(3025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(220\) | 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 3025.dd
\(\chi_{3025}(13,\cdot)\) \(\chi_{3025}(117,\cdot)\) \(\chi_{3025}(127,\cdot)\) \(\chi_{3025}(183,\cdot)\) \(\chi_{3025}(228,\cdot)\) \(\chi_{3025}(248,\cdot)\) \(\chi_{3025}(272,\cdot)\) \(\chi_{3025}(288,\cdot)\) \(\chi_{3025}(387,\cdot)\) \(\chi_{3025}(392,\cdot)\) \(\chi_{3025}(402,\cdot)\) \(\chi_{3025}(458,\cdot)\) \(\chi_{3025}(503,\cdot)\) \(\chi_{3025}(523,\cdot)\) \(\chi_{3025}(547,\cdot)\) \(\chi_{3025}(563,\cdot)\) \(\chi_{3025}(662,\cdot)\) \(\chi_{3025}(667,\cdot)\) \(\chi_{3025}(677,\cdot)\) \(\chi_{3025}(733,\cdot)\) \(\chi_{3025}(778,\cdot)\) \(\chi_{3025}(798,\cdot)\) \(\chi_{3025}(822,\cdot)\) \(\chi_{3025}(937,\cdot)\) \(\chi_{3025}(942,\cdot)\) \(\chi_{3025}(952,\cdot)\) \(\chi_{3025}(1053,\cdot)\) \(\chi_{3025}(1073,\cdot)\) \(\chi_{3025}(1097,\cdot)\) \(\chi_{3025}(1113,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{220})$ |
| Fixed field: | Number field defined by a degree 220 polynomial (not computed) |
Values on generators
\((727,2301)\) → \((e\left(\frac{19}{20}\right),e\left(\frac{101}{110}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(13\) | \(14\) |
| \( \chi_{ 3025 }(13, a) \) | \(1\) | \(1\) | \(e\left(\frac{191}{220}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(e\left(\frac{81}{110}\right)\) | \(e\left(\frac{7}{22}\right)\) | \(e\left(\frac{39}{220}\right)\) | \(e\left(\frac{133}{220}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{41}{220}\right)\) | \(e\left(\frac{173}{220}\right)\) | \(e\left(\frac{1}{22}\right)\) |