| Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
| 7.16-12.0.2-4-4-4.8 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$ |
| 7.16-12.0.2-4-4-4.4 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$ |
| 7.16-12.0.2-4-4-4.2 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$ |
| 7.16-12.0.2-4-4-4.1 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$ |
| 7.16-12.0.2-4-4-4.3 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$ |
| 7.16-12.0.2-4-4-4.5 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$ |
| 7.16-12.0.2-4-4-4.6 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$ |
| 7.16-12.0.2-4-4-4.7 |
$7$ |
$0$ |
$C_2\times Q_8$ |
$16$ |
$1$ |
$[ 0; 2, 4, 4, 4 ]$ |
|
|
$(1,4)(2,3)(5,8)(6,7)(9,12)(10,11)(13,16)(14,15),\ldots$ |
