Basic properties
Modulus: | \(3025\) | |
Conductor: | \(3025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
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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)
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Galois orbit 3025.df
\(\chi_{3025}(42,\cdot)\) \(\chi_{3025}(48,\cdot)\) \(\chi_{3025}(108,\cdot)\) \(\chi_{3025}(113,\cdot)\) \(\chi_{3025}(203,\cdot)\) \(\chi_{3025}(212,\cdot)\) \(\chi_{3025}(247,\cdot)\) \(\chi_{3025}(317,\cdot)\) \(\chi_{3025}(383,\cdot)\) \(\chi_{3025}(388,\cdot)\) \(\chi_{3025}(477,\cdot)\) \(\chi_{3025}(478,\cdot)\) \(\chi_{3025}(522,\cdot)\) \(\chi_{3025}(592,\cdot)\) \(\chi_{3025}(598,\cdot)\) \(\chi_{3025}(658,\cdot)\) \(\chi_{3025}(663,\cdot)\) \(\chi_{3025}(752,\cdot)\) \(\chi_{3025}(762,\cdot)\) \(\chi_{3025}(797,\cdot)\) \(\chi_{3025}(867,\cdot)\) \(\chi_{3025}(873,\cdot)\) \(\chi_{3025}(933,\cdot)\) \(\chi_{3025}(938,\cdot)\) \(\chi_{3025}(1027,\cdot)\) \(\chi_{3025}(1028,\cdot)\) \(\chi_{3025}(1037,\cdot)\) \(\chi_{3025}(1072,\cdot)\) \(\chi_{3025}(1142,\cdot)\) \(\chi_{3025}(1148,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{220})$ |
Fixed field: | Number field defined by a degree 220 polynomial (not computed) |
Values on generators
\((727,2301)\) → \((e\left(\frac{13}{20}\right),e\left(\frac{48}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(13\) | \(14\) |
\( \chi_{ 3025 }(42, a) \) | \(-1\) | \(1\) | \(e\left(\frac{23}{44}\right)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{1}{22}\right)\) | \(e\left(\frac{48}{55}\right)\) | \(e\left(\frac{79}{220}\right)\) | \(e\left(\frac{25}{44}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{87}{220}\right)\) | \(e\left(\frac{109}{220}\right)\) | \(e\left(\frac{97}{110}\right)\) |