Basic properties
Modulus: | \(2900\) | |
Conductor: | \(2900\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
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Order: | \(140\) | 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)
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Galois orbit 2900.da
\(\chi_{2900}(127,\cdot)\) \(\chi_{2900}(147,\cdot)\) \(\chi_{2900}(163,\cdot)\) \(\chi_{2900}(363,\cdot)\) \(\chi_{2900}(367,\cdot)\) \(\chi_{2900}(403,\cdot)\) \(\chi_{2900}(427,\cdot)\) \(\chi_{2900}(467,\cdot)\) \(\chi_{2900}(503,\cdot)\) \(\chi_{2900}(723,\cdot)\) \(\chi_{2900}(727,\cdot)\) \(\chi_{2900}(947,\cdot)\) \(\chi_{2900}(983,\cdot)\) \(\chi_{2900}(1023,\cdot)\) \(\chi_{2900}(1047,\cdot)\) \(\chi_{2900}(1083,\cdot)\) \(\chi_{2900}(1087,\cdot)\) \(\chi_{2900}(1287,\cdot)\) \(\chi_{2900}(1303,\cdot)\) \(\chi_{2900}(1323,\cdot)\) \(\chi_{2900}(1523,\cdot)\) \(\chi_{2900}(1527,\cdot)\) \(\chi_{2900}(1563,\cdot)\) \(\chi_{2900}(1587,\cdot)\) \(\chi_{2900}(1603,\cdot)\) \(\chi_{2900}(1627,\cdot)\) \(\chi_{2900}(1663,\cdot)\) \(\chi_{2900}(1667,\cdot)\) \(\chi_{2900}(1867,\cdot)\) \(\chi_{2900}(1883,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{140})$ |
Fixed field: | Number field defined by a degree 140 polynomial (not computed) |
Values on generators
\((1451,1277,901)\) → \((-1,e\left(\frac{1}{20}\right),e\left(\frac{25}{28}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(3\) | \(7\) | \(9\) | \(11\) | \(13\) | \(17\) | \(19\) | \(21\) | \(23\) | \(27\) |
\( \chi_{ 2900 }(127, a) \) | \(-1\) | \(1\) | \(e\left(\frac{11}{35}\right)\) | \(e\left(\frac{13}{28}\right)\) | \(e\left(\frac{22}{35}\right)\) | \(e\left(\frac{87}{140}\right)\) | \(e\left(\frac{3}{140}\right)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{61}{140}\right)\) | \(e\left(\frac{109}{140}\right)\) | \(e\left(\frac{127}{140}\right)\) | \(e\left(\frac{33}{35}\right)\) |