Basic properties
Modulus: | \(4235\) | |
Conductor: | \(4235\) | 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)
|
Galois orbit 4235.df
\(\chi_{4235}(13,\cdot)\) \(\chi_{4235}(62,\cdot)\) \(\chi_{4235}(83,\cdot)\) \(\chi_{4235}(167,\cdot)\) \(\chi_{4235}(237,\cdot)\) \(\chi_{4235}(272,\cdot)\) \(\chi_{4235}(293,\cdot)\) \(\chi_{4235}(398,\cdot)\) \(\chi_{4235}(447,\cdot)\) \(\chi_{4235}(468,\cdot)\) \(\chi_{4235}(503,\cdot)\) \(\chi_{4235}(552,\cdot)\) \(\chi_{4235}(622,\cdot)\) \(\chi_{4235}(657,\cdot)\) \(\chi_{4235}(678,\cdot)\) \(\chi_{4235}(783,\cdot)\) \(\chi_{4235}(832,\cdot)\) \(\chi_{4235}(853,\cdot)\) \(\chi_{4235}(888,\cdot)\) \(\chi_{4235}(937,\cdot)\) \(\chi_{4235}(1007,\cdot)\) \(\chi_{4235}(1042,\cdot)\) \(\chi_{4235}(1063,\cdot)\) \(\chi_{4235}(1168,\cdot)\) \(\chi_{4235}(1217,\cdot)\) \(\chi_{4235}(1238,\cdot)\) \(\chi_{4235}(1273,\cdot)\) \(\chi_{4235}(1392,\cdot)\) \(\chi_{4235}(1427,\cdot)\) \(\chi_{4235}(1448,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{220})$ |
Fixed field: | Number field defined by a degree 220 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((i,-1,e\left(\frac{79}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(1007, a) \) | \(-1\) | \(1\) | \(e\left(\frac{213}{220}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(e\left(\frac{103}{110}\right)\) | \(e\left(\frac{23}{55}\right)\) | \(e\left(\frac{199}{220}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{17}{44}\right)\) | \(e\left(\frac{173}{220}\right)\) | \(e\left(\frac{48}{55}\right)\) | \(e\left(\frac{207}{220}\right)\) |