Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(240\) | 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 6025.iy
\(\chi_{6025}(278,\cdot)\) \(\chi_{6025}(333,\cdot)\) \(\chi_{6025}(652,\cdot)\) \(\chi_{6025}(737,\cdot)\) \(\chi_{6025}(797,\cdot)\) \(\chi_{6025}(1127,\cdot)\) \(\chi_{6025}(1137,\cdot)\) \(\chi_{6025}(1192,\cdot)\) \(\chi_{6025}(1372,\cdot)\) \(\chi_{6025}(1377,\cdot)\) \(\chi_{6025}(1492,\cdot)\) \(\chi_{6025}(1583,\cdot)\) \(\chi_{6025}(1648,\cdot)\) \(\chi_{6025}(1652,\cdot)\) \(\chi_{6025}(1773,\cdot)\) \(\chi_{6025}(1998,\cdot)\) \(\chi_{6025}(2117,\cdot)\) \(\chi_{6025}(2237,\cdot)\) \(\chi_{6025}(2283,\cdot)\) \(\chi_{6025}(2542,\cdot)\) \(\chi_{6025}(2637,\cdot)\) \(\chi_{6025}(2713,\cdot)\) \(\chi_{6025}(2763,\cdot)\) \(\chi_{6025}(2797,\cdot)\) \(\chi_{6025}(2927,\cdot)\) \(\chi_{6025}(2947,\cdot)\) \(\chi_{6025}(2958,\cdot)\) \(\chi_{6025}(3202,\cdot)\) \(\chi_{6025}(3242,\cdot)\) \(\chi_{6025}(3308,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{13}{20}\right),e\left(\frac{7}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(1492, a) \) | \(1\) | \(1\) | \(e\left(\frac{23}{120}\right)\) | \(e\left(\frac{103}{120}\right)\) | \(e\left(\frac{23}{60}\right)\) | \(e\left(\frac{1}{20}\right)\) | \(e\left(\frac{67}{240}\right)\) | \(e\left(\frac{23}{40}\right)\) | \(e\left(\frac{43}{60}\right)\) | \(e\left(\frac{31}{240}\right)\) | \(e\left(\frac{29}{120}\right)\) | \(e\left(\frac{173}{240}\right)\) |