| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 1960.a |
\(\chi_{1960}(1, \cdot)\)
|
$1960$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1960.b |
\(\chi_{1960}(981, \cdot)\)
|
$1960$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1960.c |
\(\chi_{1960}(1469, \cdot)\)
|
$1960$ |
$280$ |
$2$ |
\(\Q(\sqrt{-70}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1960.d |
\(\chi_{1960}(1471, \cdot)\)
|
$1960$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1960.e |
\(\chi_{1960}(1959, \cdot)\)
|
$1960$ |
$140$ |
$2$ |
\(\Q(\sqrt{35}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1960.f |
\(\chi_{1960}(881, \cdot)\)
|
$1960$ |
$7$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1960.g |
\(\chi_{1960}(1569, \cdot)\)
|
$1960$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1960.h |
\(\chi_{1960}(1371, \cdot)\)
|
$1960$ |
$56$ |
$2$ |
\(\Q(\sqrt{14}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1960.i |
\(\chi_{1960}(99, \cdot)\)
|
$1960$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1960.j |
\(\chi_{1960}(1079, \cdot)\)
|
$1960$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 1960.k |
\(\chi_{1960}(391, \cdot)\)
|
$1960$ |
$28$ |
$2$ |
\(\Q(\sqrt{7}) \) |
\(\Q\) |
even |
✓ |
|
|
| 1960.l |
\(\chi_{1960}(589, \cdot)\)
|
$1960$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1960.m |
\(\chi_{1960}(1861, \cdot)\)
|
$1960$ |
$56$ |
$2$ |
\(\Q(\sqrt{-14}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1960.n |
\(\chi_{1960}(979, \cdot)\)
|
$1960$ |
$280$ |
$2$ |
\(\Q(\sqrt{70}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 1960.o |
\(\chi_{1960}(491, \cdot)\)
|
$1960$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1960.p |
\(\chi_{1960}(489, \cdot)\)
|
$1960$ |
$35$ |
$2$ |
\(\Q(\sqrt{-35}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 1960.q |
\(\chi_{1960}(361, \cdot)\)$,$ \(\chi_{1960}(961, \cdot)\)
|
$1960$ |
$7$ |
$3$ |
\(\Q(\zeta_{7})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.r |
\(\chi_{1960}(783, \cdot)\)$,$ \(\chi_{1960}(1567, \cdot)\)
|
$1960$ |
$140$ |
$4$ |
4.0.98000.1 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 1960.s |
\(\chi_{1960}(293, \cdot)\)$,$ \(\chi_{1960}(1077, \cdot)\)
|
$1960$ |
$280$ |
$4$ |
4.4.392000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1960.t |
\(\chi_{1960}(687, \cdot)\)$,$ \(\chi_{1960}(1863, \cdot)\)
|
$1960$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 1960.u |
\(\chi_{1960}(197, \cdot)\)$,$ \(\chi_{1960}(1373, \cdot)\)
|
$1960$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1960.v |
\(\chi_{1960}(393, \cdot)\)$,$ \(\chi_{1960}(1177, \cdot)\)
|
$1960$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1960.w |
\(\chi_{1960}(883, \cdot)\)$,$ \(\chi_{1960}(1667, \cdot)\)
|
$1960$ |
$40$ |
$4$ |
4.4.8000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1960.x |
\(\chi_{1960}(97, \cdot)\)$,$ \(\chi_{1960}(1273, \cdot)\)
|
$1960$ |
$35$ |
$4$ |
4.4.6125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 1960.y |
\(\chi_{1960}(587, \cdot)\)$,$ \(\chi_{1960}(1763, \cdot)\)
|
$1960$ |
$280$ |
$4$ |
4.0.392000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 1960.z |
\(\chi_{1960}(851, \cdot)\)$,$ \(\chi_{1960}(1451, \cdot)\)
|
$1960$ |
$56$ |
$6$ |
6.0.1229312.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.ba |
\(\chi_{1960}(19, \cdot)\)$,$ \(\chi_{1960}(619, \cdot)\)
|
$1960$ |
$280$ |
$6$ |
6.6.1075648000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bb |
\(\chi_{1960}(129, \cdot)\)$,$ \(\chi_{1960}(1489, \cdot)\)
|
$1960$ |
$35$ |
$6$ |
6.0.2100875.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.bc |
\(\chi_{1960}(31, \cdot)\)$,$ \(\chi_{1960}(1391, \cdot)\)
|
$1960$ |
$28$ |
$6$ |
\(\Q(\zeta_{28})^+\) |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bd |
\(\chi_{1960}(79, \cdot)\)$,$ \(\chi_{1960}(1439, \cdot)\)
|
$1960$ |
$140$ |
$6$ |
6.0.19208000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.be |
\(\chi_{1960}(901, \cdot)\)$,$ \(\chi_{1960}(1501, \cdot)\)
|
$1960$ |
$56$ |
$6$ |
6.0.8605184.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.bf |
\(\chi_{1960}(949, \cdot)\)$,$ \(\chi_{1960}(1549, \cdot)\)
|
$1960$ |
$280$ |
$6$ |
6.6.153664000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bg |
\(\chi_{1960}(569, \cdot)\)$,$ \(\chi_{1960}(1929, \cdot)\)
|
$1960$ |
$35$ |
$6$ |
6.6.300125.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bh |
\(\chi_{1960}(521, \cdot)\)$,$ \(\chi_{1960}(1881, \cdot)\)
|
$1960$ |
$7$ |
$6$ |
\(\Q(\zeta_{7})\) |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.bi |
\(\chi_{1960}(459, \cdot)\)$,$ \(\chi_{1960}(1059, \cdot)\)
|
$1960$ |
$280$ |
$6$ |
6.0.153664000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.bj |
\(\chi_{1960}(411, \cdot)\)$,$ \(\chi_{1960}(1011, \cdot)\)
|
$1960$ |
$56$ |
$6$ |
6.6.8605184.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bk |
\(\chi_{1960}(509, \cdot)\)$,$ \(\chi_{1960}(1109, \cdot)\)
|
$1960$ |
$280$ |
$6$ |
6.0.1075648000.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.bl |
\(\chi_{1960}(1341, \cdot)\)$,$ \(\chi_{1960}(1941, \cdot)\)
|
$1960$ |
$56$ |
$6$ |
6.6.1229312.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bm |
\(\chi_{1960}(999, \cdot)\)$,$ \(\chi_{1960}(1599, \cdot)\)
|
$1960$ |
$140$ |
$6$ |
6.6.134456000.1 |
\(\mathbb{Q}(\zeta_3)\) |
even |
|
|
|
| 1960.bn |
\(\chi_{1960}(471, \cdot)\)$,$ \(\chi_{1960}(1831, \cdot)\)
|
$1960$ |
$28$ |
$6$ |
6.0.153664.1 |
\(\mathbb{Q}(\zeta_3)\) |
odd |
|
|
|
| 1960.bo |
\(\chi_{1960}(281, \cdot)\)$, \cdots ,$\(\chi_{1960}(1681, \cdot)\)
|
$1960$ |
$49$ |
$7$ |
7.7.13841287201.1 |
\(\Q(\zeta_{7})\) |
even |
|
|
✓ |
| 1960.bp |
\(\chi_{1960}(313, \cdot)\)$, \cdots ,$\(\chi_{1960}(1697, \cdot)\)
|
$1960$ |
$35$ |
$12$ |
\(\Q(\zeta_{35})^+\) |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1960.bq |
\(\chi_{1960}(227, \cdot)\)$, \cdots ,$\(\chi_{1960}(1587, \cdot)\)
|
$1960$ |
$280$ |
$12$ |
12.0.144627327488000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1960.br |
\(\chi_{1960}(177, \cdot)\)$, \cdots ,$\(\chi_{1960}(1537, \cdot)\)
|
$1960$ |
$35$ |
$12$ |
12.0.11259376953125.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1960.bs |
\(\chi_{1960}(67, \cdot)\)$, \cdots ,$\(\chi_{1960}(1843, \cdot)\)
|
$1960$ |
$280$ |
$12$ |
12.12.2951578112000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1960.bt |
\(\chi_{1960}(263, \cdot)\)$, \cdots ,$\(\chi_{1960}(1647, \cdot)\)
|
$1960$ |
$140$ |
$12$ |
12.12.46118408000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1960.bu |
\(\chi_{1960}(373, \cdot)\)$, \cdots ,$\(\chi_{1960}(1733, \cdot)\)
|
$1960$ |
$280$ |
$12$ |
12.0.2951578112000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1960.bv |
\(\chi_{1960}(423, \cdot)\)$, \cdots ,$\(\chi_{1960}(1783, \cdot)\)
|
$1960$ |
$140$ |
$12$ |
12.0.2259801992000000000.1 |
\(\Q(\zeta_{12})\) |
odd |
|
|
|
| 1960.bw |
\(\chi_{1960}(117, \cdot)\)$, \cdots ,$\(\chi_{1960}(1893, \cdot)\)
|
$1960$ |
$280$ |
$12$ |
12.12.144627327488000000000.1 |
\(\Q(\zeta_{12})\) |
even |
|
|
|
| 1960.bx |
\(\chi_{1960}(209, \cdot)\)$, \cdots ,$\(\chi_{1960}(1889, \cdot)\)
|
$1960$ |
$245$ |
$14$ |
not computed |
\(\Q(\zeta_{7})\) |
odd |
|
|
✓ |
