Basic properties
Modulus: | \(3025\) | |
Conductor: | \(3025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(220\) | 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
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Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3025.dc
\(\chi_{3025}(12,\cdot)\) \(\chi_{3025}(23,\cdot)\) \(\chi_{3025}(67,\cdot)\) \(\chi_{3025}(78,\cdot)\) \(\chi_{3025}(133,\cdot)\) \(\chi_{3025}(177,\cdot)\) \(\chi_{3025}(188,\cdot)\) \(\chi_{3025}(287,\cdot)\) \(\chi_{3025}(298,\cdot)\) \(\chi_{3025}(342,\cdot)\) \(\chi_{3025}(353,\cdot)\) \(\chi_{3025}(397,\cdot)\) \(\chi_{3025}(408,\cdot)\) \(\chi_{3025}(452,\cdot)\) \(\chi_{3025}(463,\cdot)\) \(\chi_{3025}(562,\cdot)\) \(\chi_{3025}(573,\cdot)\) \(\chi_{3025}(617,\cdot)\) \(\chi_{3025}(628,\cdot)\) \(\chi_{3025}(672,\cdot)\) \(\chi_{3025}(683,\cdot)\) \(\chi_{3025}(738,\cdot)\) \(\chi_{3025}(837,\cdot)\) \(\chi_{3025}(892,\cdot)\) \(\chi_{3025}(903,\cdot)\) \(\chi_{3025}(947,\cdot)\) \(\chi_{3025}(958,\cdot)\) \(\chi_{3025}(1002,\cdot)\) \(\chi_{3025}(1013,\cdot)\) \(\chi_{3025}(1112,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{220})$ |
Fixed field: | Number field defined by a degree 220 polynomial (not computed) |
Values on generators
\((727,2301)\) → \((e\left(\frac{11}{20}\right),e\left(\frac{7}{11}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(13\) | \(14\) |
\( \chi_{ 3025 }(23, a) \) | \(-1\) | \(1\) | \(e\left(\frac{41}{220}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{41}{110}\right)\) | \(e\left(\frac{2}{55}\right)\) | \(e\left(\frac{9}{44}\right)\) | \(e\left(\frac{123}{220}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{49}{220}\right)\) | \(e\left(\frac{159}{220}\right)\) | \(e\left(\frac{43}{110}\right)\) |