| Orbit label |
Conrey labels |
Modulus |
Conductor |
Order |
Kernel field |
Value field |
Parity |
Real |
Primitive |
Minimal |
| 3520.a |
\(\chi_{3520}(1, \cdot)\)
|
$3520$ |
$1$ |
$1$ |
\(\Q\) |
\(\Q\) |
even |
✓ |
|
|
| 3520.b |
\(\chi_{3520}(1409, \cdot)\)
|
$3520$ |
$5$ |
$2$ |
\(\Q(\sqrt{5}) \) |
\(\Q\) |
even |
✓ |
|
|
| 3520.c |
\(\chi_{3520}(1759, \cdot)\)
|
$3520$ |
$440$ |
$2$ |
\(\Q(\sqrt{110}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3520.d |
\(\chi_{3520}(1121, \cdot)\)
|
$3520$ |
$88$ |
$2$ |
\(\Q(\sqrt{-22}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3520.e |
\(\chi_{3520}(2751, \cdot)\)
|
$3520$ |
$4$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 3520.f |
\(\chi_{3520}(2111, \cdot)\)
|
$3520$ |
$44$ |
$2$ |
\(\Q(\sqrt{11}) \) |
\(\Q\) |
even |
✓ |
|
|
| 3520.g |
\(\chi_{3520}(1761, \cdot)\)
|
$3520$ |
$8$ |
$2$ |
\(\Q(\sqrt{2}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3520.h |
\(\chi_{3520}(2399, \cdot)\)
|
$3520$ |
$40$ |
$2$ |
\(\Q(\sqrt{-10}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3520.i |
\(\chi_{3520}(769, \cdot)\)
|
$3520$ |
$55$ |
$2$ |
\(\Q(\sqrt{-55}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 3520.j |
\(\chi_{3520}(2881, \cdot)\)
|
$3520$ |
$11$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 3520.k |
\(\chi_{3520}(991, \cdot)\)
|
$3520$ |
$8$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3520.l |
\(\chi_{3520}(3169, \cdot)\)
|
$3520$ |
$40$ |
$2$ |
\(\Q(\sqrt{10}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3520.m |
\(\chi_{3520}(3519, \cdot)\)
|
$3520$ |
$220$ |
$2$ |
\(\Q(\sqrt{55}) \) |
\(\Q\) |
even |
✓ |
|
|
| 3520.n |
\(\chi_{3520}(639, \cdot)\)
|
$3520$ |
$20$ |
$2$ |
\(\Q(\sqrt{-5}) \) |
\(\Q\) |
odd |
✓ |
|
|
| 3520.o |
\(\chi_{3520}(2529, \cdot)\)
|
$3520$ |
$440$ |
$2$ |
\(\Q(\sqrt{-110}) \) |
\(\Q\) |
odd |
✓ |
|
✓ |
| 3520.p |
\(\chi_{3520}(351, \cdot)\)
|
$3520$ |
$88$ |
$2$ |
\(\Q(\sqrt{22}) \) |
\(\Q\) |
even |
✓ |
|
✓ |
| 3520.q |
\(\chi_{3520}(2287, \cdot)\)$,$ \(\chi_{3520}(3343, \cdot)\)
|
$3520$ |
$880$ |
$4$ |
4.0.30976000.4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.r |
\(\chi_{3520}(177, \cdot)\)$,$ \(\chi_{3520}(1233, \cdot)\)
|
$3520$ |
$80$ |
$4$ |
4.0.256000.4 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.s |
\(\chi_{3520}(463, \cdot)\)$,$ \(\chi_{3520}(2927, \cdot)\)
|
$3520$ |
$80$ |
$4$ |
4.4.256000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.t |
\(\chi_{3520}(593, \cdot)\)$,$ \(\chi_{3520}(3057, \cdot)\)
|
$3520$ |
$880$ |
$4$ |
4.4.30976000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.u |
\(\chi_{3520}(1519, \cdot)\)$,$ \(\chi_{3520}(3279, \cdot)\)
|
$3520$ |
$80$ |
$4$ |
4.0.51200.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.v |
\(\chi_{3520}(1231, \cdot)\)$,$ \(\chi_{3520}(2991, \cdot)\)
|
$3520$ |
$176$ |
$4$ |
4.4.247808.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.w |
\(\chi_{3520}(881, \cdot)\)$,$ \(\chi_{3520}(2641, \cdot)\)
|
$3520$ |
$16$ |
$4$ |
\(\Q(\zeta_{16})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.x |
\(\chi_{3520}(1649, \cdot)\)$,$ \(\chi_{3520}(3409, \cdot)\)
|
$3520$ |
$880$ |
$4$ |
4.0.6195200.5 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.y |
\(\chi_{3520}(703, \cdot)\)$,$ \(\chi_{3520}(1407, \cdot)\)
|
$3520$ |
$220$ |
$4$ |
4.0.242000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.z |
\(\chi_{3520}(287, \cdot)\)$,$ \(\chi_{3520}(3103, \cdot)\)
|
$3520$ |
$40$ |
$4$ |
4.4.8000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 3520.ba |
\(\chi_{3520}(2113, \cdot)\)$,$ \(\chi_{3520}(2817, \cdot)\)
|
$3520$ |
$5$ |
$4$ |
\(\Q(\zeta_{5})\) |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.bb |
\(\chi_{3520}(417, \cdot)\)$,$ \(\chi_{3520}(3233, \cdot)\)
|
$3520$ |
$440$ |
$4$ |
4.4.968000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
✓ |
| 3520.bc |
\(\chi_{3520}(353, \cdot)\)$,$ \(\chi_{3520}(1057, \cdot)\)
|
$3520$ |
$40$ |
$4$ |
4.0.8000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 3520.bd |
\(\chi_{3520}(1473, \cdot)\)$,$ \(\chi_{3520}(2177, \cdot)\)
|
$3520$ |
$55$ |
$4$ |
4.4.15125.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.be |
\(\chi_{3520}(2463, \cdot)\)$,$ \(\chi_{3520}(3167, \cdot)\)
|
$3520$ |
$440$ |
$4$ |
4.0.968000.5 |
\(\mathbb{Q}(i)\) |
odd |
|
|
✓ |
| 3520.bf |
\(\chi_{3520}(1343, \cdot)\)$,$ \(\chi_{3520}(2047, \cdot)\)
|
$3520$ |
$20$ |
$4$ |
\(\Q(\zeta_{20})^+\) |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.bg |
\(\chi_{3520}(241, \cdot)\)$,$ \(\chi_{3520}(2001, \cdot)\)
|
$3520$ |
$176$ |
$4$ |
4.0.247808.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.bh |
\(\chi_{3520}(529, \cdot)\)$,$ \(\chi_{3520}(2289, \cdot)\)
|
$3520$ |
$80$ |
$4$ |
4.4.51200.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.bi |
\(\chi_{3520}(879, \cdot)\)$,$ \(\chi_{3520}(2639, \cdot)\)
|
$3520$ |
$880$ |
$4$ |
4.4.6195200.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.bj |
\(\chi_{3520}(111, \cdot)\)$,$ \(\chi_{3520}(1871, \cdot)\)
|
$3520$ |
$16$ |
$4$ |
4.0.2048.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.bk |
\(\chi_{3520}(1167, \cdot)\)$,$ \(\chi_{3520}(2223, \cdot)\)
|
$3520$ |
$80$ |
$4$ |
4.4.256000.1 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.bl |
\(\chi_{3520}(1297, \cdot)\)$,$ \(\chi_{3520}(2353, \cdot)\)
|
$3520$ |
$880$ |
$4$ |
4.4.30976000.2 |
\(\mathbb{Q}(i)\) |
even |
|
|
|
| 3520.bm |
\(\chi_{3520}(527, \cdot)\)$,$ \(\chi_{3520}(1583, \cdot)\)
|
$3520$ |
$880$ |
$4$ |
4.0.30976000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.bn |
\(\chi_{3520}(1937, \cdot)\)$,$ \(\chi_{3520}(2993, \cdot)\)
|
$3520$ |
$80$ |
$4$ |
4.0.256000.2 |
\(\mathbb{Q}(i)\) |
odd |
|
|
|
| 3520.bo |
\(\chi_{3520}(641, \cdot)\)$, \cdots ,$\(\chi_{3520}(2561, \cdot)\)
|
$3520$ |
$11$ |
$5$ |
\(\Q(\zeta_{11})^+\) |
\(\Q(\zeta_{5})\) |
even |
|
|
|
| 3520.bp |
\(\chi_{3520}(727, \cdot)\)$, \cdots ,$\(\chi_{3520}(2663, \cdot)\)
|
$3520$ |
$160$ |
$8$ |
8.8.33554432000000.2 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 3520.bq |
\(\chi_{3520}(1497, \cdot)\)$, \cdots ,$\(\chi_{3520}(3433, \cdot)\)
|
$3520$ |
$160$ |
$8$ |
8.0.33554432000000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 3520.br |
\(\chi_{3520}(967, \cdot)\)$, \cdots ,$\(\chi_{3520}(2903, \cdot)\)
|
$3520$ |
$1760$ |
$8$ |
8.0.491270438912000000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 3520.bs |
\(\chi_{3520}(153, \cdot)\)$, \cdots ,$\(\chi_{3520}(3497, \cdot)\)
|
$3520$ |
$1760$ |
$8$ |
8.8.491270438912000000.2 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 3520.bt |
\(\chi_{3520}(439, \cdot)\)$, \cdots ,$\(\chi_{3520}(3079, \cdot)\)
|
$3520$ |
$1760$ |
$8$ |
8.8.19650817556480000.1 |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 3520.bu |
\(\chi_{3520}(551, \cdot)\)$, \cdots ,$\(\chi_{3520}(3191, \cdot)\)
|
$3520$ |
$32$ |
$8$ |
8.0.2147483648.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 3520.bv |
\(\chi_{3520}(441, \cdot)\)$, \cdots ,$\(\chi_{3520}(3081, \cdot)\)
|
$3520$ |
$32$ |
$8$ |
\(\Q(\zeta_{32})^+\) |
\(\Q(\zeta_{8})\) |
even |
|
|
|
| 3520.bw |
\(\chi_{3520}(329, \cdot)\)$, \cdots ,$\(\chi_{3520}(2969, \cdot)\)
|
$3520$ |
$1760$ |
$8$ |
8.0.19650817556480000.10 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
| 3520.bx |
\(\chi_{3520}(199, \cdot)\)$, \cdots ,$\(\chi_{3520}(2839, \cdot)\)
|
$3520$ |
$160$ |
$8$ |
8.0.1342177280000.1 |
\(\Q(\zeta_{8})\) |
odd |
|
|
|
