Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
3800.a |
\(\chi_{3800}(1, \cdot)\)
|
$3800$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
3800.b |
\(\chi_{3800}(949, \cdot)\)
|
$3800$ |
$760$ |
$2$ |
\(\Q(\sqrt{-190}) \) |
\(\Q\) |
odd |
✓ |
|
|
3800.c |
\(\chi_{3800}(951, \cdot)\)
|
$3800$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
3800.d |
\(\chi_{3800}(3649, \cdot)\)
|
$3800$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
3800.e |
\(\chi_{3800}(2051, \cdot)\)
|
$3800$ |
$152$ |
$2$ |
\(\Q(\sqrt{38}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
3800.f |
\(\chi_{3800}(1901, \cdot)\)
|
$3800$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
3800.g |
\(\chi_{3800}(3799, \cdot)\)
|
$3800$ |
$380$ |
$2$ |
\(\Q(\sqrt{95}) \) |
\(\Q\) |
even |
✓ |
|
|
3800.h |
\(\chi_{3800}(3001, \cdot)\)
|
$3800$ |
$19$ |
$2$ |
\(\Q(\sqrt{-19}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
3800.i |
\(\chi_{3800}(2699, \cdot)\)
|
$3800$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
|
3800.j |
\(\chi_{3800}(151, \cdot)\)
|
$3800$ |
$76$ |
$2$ |
\(\Q(\sqrt{19}) \) |
\(\Q\) |
even |
✓ |
|
|
3800.k |
\(\chi_{3800}(1749, \cdot)\)
|
$3800$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
|
3800.l |
\(\chi_{3800}(2851, \cdot)\)
|
$3800$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
3800.m |
\(\chi_{3800}(2849, \cdot)\)
|
$3800$ |
$95$ |
$2$ |
\(\Q(\sqrt{-95}) \) |
\(\Q\) |
odd |
✓ |
|
|
3800.n |
\(\chi_{3800}(799, \cdot)\)
|
$3800$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
3800.o |
\(\chi_{3800}(1101, \cdot)\)
|
$3800$ |
$152$ |
$2$ |
\(\Q(\sqrt{-38}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
3800.p |
\(\chi_{3800}(1899, \cdot)\)
|
$3800$ |
$760$ |
$2$ |
\(\Q(\sqrt{190}) \) |
\(\Q\) |
even |
✓ |
|
|
3800.q |
\(\chi_{3800}(201, \cdot)\)$,$ \(\chi_{3800}(2401, \cdot)\)
|
$3800$ |
$19$ |
$3$ |
3.3.361.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
3800.r |
\(\chi_{3800}(1293, \cdot)\)$,$ \(\chi_{3800}(2357, \cdot)\)
|
$3800$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
3800.s |
\(\chi_{3800}(607, \cdot)\)$,$ \(\chi_{3800}(3343, \cdot)\)
|
$3800$ |
$380$ |
$4$ |
4.0.722000.3 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
3800.t |
\(\chi_{3800}(493, \cdot)\)$,$ \(\chi_{3800}(1557, \cdot)\)
|
$3800$ |
$760$ |
$4$ |
4.4.2888000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
3800.u |
\(\chi_{3800}(343, \cdot)\)$,$ \(\chi_{3800}(1407, \cdot)\)
|
$3800$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
3800.v |
\(\chi_{3800}(2393, \cdot)\)$,$ \(\chi_{3800}(3457, \cdot)\)
|
$3800$ |
$95$ |
$4$ |
4.4.45125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
3800.w |
\(\chi_{3800}(2243, \cdot)\)$,$ \(\chi_{3800}(3307, \cdot)\)
|
$3800$ |
$40$ |
$4$ |
4.4.8000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
3800.x |
\(\chi_{3800}(457, \cdot)\)$,$ \(\chi_{3800}(3193, \cdot)\)
|
$3800$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
3800.y |
\(\chi_{3800}(1443, \cdot)\)$,$ \(\chi_{3800}(2507, \cdot)\)
|
$3800$ |
$760$ |
$4$ |
4.0.2888000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
3800.z |
\(\chi_{3800}(761, \cdot)\)$, \cdots ,$\(\chi_{3800}(3041, \cdot)\)
|
$3800$ |
$25$ |
$5$ |
5.5.390625.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
3800.ba |
\(\chi_{3800}(349, \cdot)\)$,$ \(\chi_{3800}(1949, \cdot)\)
|
$3800$ |
$760$ |
$6$ |
6.6.8340544000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
3800.bb |
\(\chi_{3800}(1551, \cdot)\)$,$ \(\chi_{3800}(3751, \cdot)\)
|
$3800$ |
$76$ |
$6$ |
6.6.158470336.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
3800.bc |
\(\chi_{3800}(449, \cdot)\)$,$ \(\chi_{3800}(2649, \cdot)\)
|
$3800$ |
$95$ |
$6$ |
6.0.309512375.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
3800.bd |
\(\chi_{3800}(1451, \cdot)\)$,$ \(\chi_{3800}(3051, \cdot)\)
|
$3800$ |
$152$ |
$6$ |
6.0.66724352.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
3800.be |
\(\chi_{3800}(901, \cdot)\)$,$ \(\chi_{3800}(2501, \cdot)\)
|
$3800$ |
$152$ |
$6$ |
6.0.1267762688.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
3800.bf |
\(\chi_{3800}(999, \cdot)\)$,$ \(\chi_{3800}(3199, \cdot)\)
|
$3800$ |
$380$ |
$6$ |
6.0.1042568000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
3800.bg |
\(\chi_{3800}(1699, \cdot)\)$,$ \(\chi_{3800}(3299, \cdot)\)
|
$3800$ |
$760$ |
$6$ |
6.6.158470336000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
3800.bh |
\(\chi_{3800}(1151, \cdot)\)$,$ \(\chi_{3800}(3351, \cdot)\)
|
$3800$ |
$76$ |
$6$ |
6.0.8340544.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
3800.bi |
\(\chi_{3800}(749, \cdot)\)$,$ \(\chi_{3800}(2349, \cdot)\)
|
$3800$ |
$760$ |
$6$ |
6.0.158470336000.4 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
3800.bj |
\(\chi_{3800}(1851, \cdot)\)$,$ \(\chi_{3800}(3451, \cdot)\)
|
$3800$ |
$152$ |
$6$ |
6.6.1267762688.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
3800.bk |
\(\chi_{3800}(49, \cdot)\)$,$ \(\chi_{3800}(2249, \cdot)\)
|
$3800$ |
$95$ |
$6$ |
6.6.16290125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
3800.bl |
\(\chi_{3800}(1399, \cdot)\)$,$ \(\chi_{3800}(3599, \cdot)\)
|
$3800$ |
$380$ |
$6$ |
6.6.19808792000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
3800.bm |
\(\chi_{3800}(501, \cdot)\)$,$ \(\chi_{3800}(2101, \cdot)\)
|
$3800$ |
$152$ |
$6$ |
6.6.66724352.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
✓ |
3800.bn |
\(\chi_{3800}(1299, \cdot)\)$,$ \(\chi_{3800}(2899, \cdot)\)
|
$3800$ |
$760$ |
$6$ |
6.0.8340544000.3 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
3800.bo |
\(\chi_{3800}(601, \cdot)\)$,$ \(\chi_{3800}(2801, \cdot)\)
|
$3800$ |
$19$ |
$6$ |
6.0.2476099.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
✓ |
3800.bp |
\(\chi_{3800}(1201, \cdot)\)$, \cdots ,$\(\chi_{3800}(3201, \cdot)\)
|
$3800$ |
$19$ |
$9$ |
\(\Q(\zeta_{19})^+\) |
\(\Q(\zeta_{9})\) |
even |
|
|
✓ |
3800.bq |
\(\chi_{3800}(569, \cdot)\)$, \cdots ,$\(\chi_{3800}(3609, \cdot)\)
|
$3800$ |
$475$ |
$10$ |
10.0.1889113616943359375.3 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
3800.br |
\(\chi_{3800}(571, \cdot)\)$, \cdots ,$\(\chi_{3800}(3611, \cdot)\)
|
$3800$ |
$200$ |
$10$ |
10.0.5000000000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
✓ |
3800.bs |
\(\chi_{3800}(229, \cdot)\)$, \cdots ,$\(\chi_{3800}(3269, \cdot)\)
|
$3800$ |
$200$ |
$10$ |
10.10.25000000000000000.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
✓ |
3800.bt |
\(\chi_{3800}(911, \cdot)\)$, \cdots ,$\(\chi_{3800}(3191, \cdot)\)
|
$3800$ |
$1900$ |
$10$ |
10.10.386890468750000000000.1 |
\(\Q(\zeta_{5})\) |
even |
|
|
|
3800.bu |
\(\chi_{3800}(379, \cdot)\)$, \cdots ,$\(\chi_{3800}(3419, \cdot)\)
|
$3800$ |
$3800$ |
$10$ |
10.10.61902475000000000000000.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |
3800.bv |
\(\chi_{3800}(341, \cdot)\)$, \cdots ,$\(\chi_{3800}(3381, \cdot)\)
|
$3800$ |
$3800$ |
$10$ |
10.0.12380495000000000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
✓ |
✓ |
3800.bw |
\(\chi_{3800}(39, \cdot)\)$, \cdots ,$\(\chi_{3800}(3079, \cdot)\)
|
$3800$ |
$100$ |
$10$ |
10.0.781250000000000.1 |
\(\Q(\zeta_{5})\) |
odd |
|
|
|
3800.bx |
\(\chi_{3800}(531, \cdot)\)$, \cdots ,$\(\chi_{3800}(3571, \cdot)\)
|
$3800$ |
$3800$ |
$10$ |
10.10.12380495000000000000000.1 |
\(\Q(\zeta_{5})\) |
even |
|
✓ |
✓ |