Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(240\) | 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 6025.jd
\(\chi_{6025}(42,\cdot)\) \(\chi_{6025}(163,\cdot)\) \(\chi_{6025}(173,\cdot)\) \(\chi_{6025}(228,\cdot)\) \(\chi_{6025}(292,\cdot)\) \(\chi_{6025}(408,\cdot)\) \(\chi_{6025}(412,\cdot)\) \(\chi_{6025}(413,\cdot)\) \(\chi_{6025}(528,\cdot)\) \(\chi_{6025}(592,\cdot)\) \(\chi_{6025}(637,\cdot)\) \(\chi_{6025}(688,\cdot)\) \(\chi_{6025}(762,\cdot)\) \(\chi_{6025}(852,\cdot)\) \(\chi_{6025}(872,\cdot)\) \(\chi_{6025}(902,\cdot)\) \(\chi_{6025}(1153,\cdot)\) \(\chi_{6025}(1242,\cdot)\) \(\chi_{6025}(1273,\cdot)\) \(\chi_{6025}(1297,\cdot)\) \(\chi_{6025}(1578,\cdot)\) \(\chi_{6025}(1673,\cdot)\) \(\chi_{6025}(1833,\cdot)\) \(\chi_{6025}(1963,\cdot)\) \(\chi_{6025}(1983,\cdot)\) \(\chi_{6025}(2238,\cdot)\) \(\chi_{6025}(2278,\cdot)\) \(\chi_{6025}(2488,\cdot)\) \(\chi_{6025}(2547,\cdot)\) \(\chi_{6025}(2612,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{9}{20}\right),e\left(\frac{229}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(762, a) \) | \(1\) | \(1\) | \(e\left(\frac{89}{120}\right)\) | \(e\left(\frac{97}{120}\right)\) | \(e\left(\frac{29}{60}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(e\left(\frac{49}{240}\right)\) | \(e\left(\frac{9}{40}\right)\) | \(e\left(\frac{37}{60}\right)\) | \(e\left(\frac{13}{240}\right)\) | \(e\left(\frac{7}{24}\right)\) | \(e\left(\frac{19}{48}\right)\) |