Basic properties
Modulus: | \(6025\) | |
Conductor: | \(1205\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(240\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | no, induced from \(\chi_{1205}(902,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
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Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.jp
\(\chi_{6025}(7,\cdot)\) \(\chi_{6025}(68,\cdot)\) \(\chi_{6025}(207,\cdot)\) \(\chi_{6025}(293,\cdot)\) \(\chi_{6025}(307,\cdot)\) \(\chi_{6025}(468,\cdot)\) \(\chi_{6025}(657,\cdot)\) \(\chi_{6025}(668,\cdot)\) \(\chi_{6025}(757,\cdot)\) \(\chi_{6025}(818,\cdot)\) \(\chi_{6025}(893,\cdot)\) \(\chi_{6025}(918,\cdot)\) \(\chi_{6025}(957,\cdot)\) \(\chi_{6025}(1218,\cdot)\) \(\chi_{6025}(1332,\cdot)\) \(\chi_{6025}(1368,\cdot)\) \(\chi_{6025}(1407,\cdot)\) \(\chi_{6025}(1532,\cdot)\) \(\chi_{6025}(1618,\cdot)\) \(\chi_{6025}(1718,\cdot)\) \(\chi_{6025}(1743,\cdot)\) \(\chi_{6025}(1757,\cdot)\) \(\chi_{6025}(1893,\cdot)\) \(\chi_{6025}(2032,\cdot)\) \(\chi_{6025}(2057,\cdot)\) \(\chi_{6025}(2107,\cdot)\) \(\chi_{6025}(2132,\cdot)\) \(\chi_{6025}(2243,\cdot)\) \(\chi_{6025}(2782,\cdot)\) \(\chi_{6025}(2818,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((i,e\left(\frac{221}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(2107, a) \) | \(1\) | \(1\) | \(e\left(\frac{5}{24}\right)\) | \(e\left(\frac{41}{120}\right)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(e\left(\frac{41}{240}\right)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{41}{60}\right)\) | \(e\left(\frac{1}{48}\right)\) | \(e\left(\frac{91}{120}\right)\) | \(e\left(\frac{7}{240}\right)\) |