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.jc
\(\chi_{6025}(167,\cdot)\) \(\chi_{6025}(227,\cdot)\) \(\chi_{6025}(248,\cdot)\) \(\chi_{6025}(283,\cdot)\) \(\chi_{6025}(312,\cdot)\) \(\chi_{6025}(378,\cdot)\) \(\chi_{6025}(448,\cdot)\) \(\chi_{6025}(533,\cdot)\) \(\chi_{6025}(833,\cdot)\) \(\chi_{6025}(998,\cdot)\) \(\chi_{6025}(1063,\cdot)\) \(\chi_{6025}(1078,\cdot)\) \(\chi_{6025}(1198,\cdot)\) \(\chi_{6025}(1477,\cdot)\) \(\chi_{6025}(1483,\cdot)\) \(\chi_{6025}(1502,\cdot)\) \(\chi_{6025}(1588,\cdot)\) \(\chi_{6025}(1592,\cdot)\) \(\chi_{6025}(1742,\cdot)\) \(\chi_{6025}(1753,\cdot)\) \(\chi_{6025}(2103,\cdot)\) \(\chi_{6025}(2298,\cdot)\) \(\chi_{6025}(2348,\cdot)\) \(\chi_{6025}(2397,\cdot)\) \(\chi_{6025}(2567,\cdot)\) \(\chi_{6025}(2697,\cdot)\) \(\chi_{6025}(2778,\cdot)\) \(\chi_{6025}(3062,\cdot)\) \(\chi_{6025}(3063,\cdot)\) \(\chi_{6025}(3077,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{11}{20}\right),e\left(\frac{61}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(998, a) \) | \(1\) | \(1\) | \(e\left(\frac{101}{120}\right)\) | \(e\left(\frac{13}{120}\right)\) | \(e\left(\frac{41}{60}\right)\) | \(e\left(\frac{19}{20}\right)\) | \(e\left(\frac{1}{240}\right)\) | \(e\left(\frac{21}{40}\right)\) | \(e\left(\frac{13}{60}\right)\) | \(e\left(\frac{37}{240}\right)\) | \(e\left(\frac{19}{24}\right)\) | \(e\left(\frac{19}{48}\right)\) |