Basic properties
Modulus: | \(3025\) | |
Conductor: | \(3025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(110\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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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.ci
\(\chi_{3025}(169,\cdot)\) \(\chi_{3025}(179,\cdot)\) \(\chi_{3025}(214,\cdot)\) \(\chi_{3025}(284,\cdot)\) \(\chi_{3025}(454,\cdot)\) \(\chi_{3025}(489,\cdot)\) \(\chi_{3025}(559,\cdot)\) \(\chi_{3025}(719,\cdot)\) \(\chi_{3025}(764,\cdot)\) \(\chi_{3025}(834,\cdot)\) \(\chi_{3025}(994,\cdot)\) \(\chi_{3025}(1004,\cdot)\) \(\chi_{3025}(1039,\cdot)\) \(\chi_{3025}(1109,\cdot)\) \(\chi_{3025}(1269,\cdot)\) \(\chi_{3025}(1279,\cdot)\) \(\chi_{3025}(1314,\cdot)\) \(\chi_{3025}(1384,\cdot)\) \(\chi_{3025}(1544,\cdot)\) \(\chi_{3025}(1554,\cdot)\) \(\chi_{3025}(1589,\cdot)\) \(\chi_{3025}(1659,\cdot)\) \(\chi_{3025}(1819,\cdot)\) \(\chi_{3025}(1829,\cdot)\) \(\chi_{3025}(1864,\cdot)\) \(\chi_{3025}(1934,\cdot)\) \(\chi_{3025}(2094,\cdot)\) \(\chi_{3025}(2104,\cdot)\) \(\chi_{3025}(2139,\cdot)\) \(\chi_{3025}(2209,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{55})$ |
Fixed field: | Number field defined by a degree 110 polynomial (not computed) |
Values on generators
\((727,2301)\) → \((e\left(\frac{9}{10}\right),e\left(\frac{46}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(13\) | \(14\) |
\( \chi_{ 3025 }(169, a) \) | \(1\) | \(1\) | \(e\left(\frac{81}{110}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{26}{55}\right)\) | \(e\left(\frac{7}{11}\right)\) | \(e\left(\frac{39}{110}\right)\) | \(e\left(\frac{23}{110}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{41}{110}\right)\) | \(e\left(\frac{63}{110}\right)\) | \(e\left(\frac{1}{11}\right)\) |