Refined passport label |
Genus |
Quotient genus |
Group |
Group order |
Dimension |
Signature |
Hyperelliptic |
Cyclic trigonal |
Generating vectors |
15.8-2.0.2-2-4-4-4-4-4-4.1 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.2 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.3 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.4 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.5 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.6 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.7 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.8 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.9 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.10 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.11 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.12 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.13 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.14 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.15 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.16 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.17 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.18 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.19 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.20 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.21 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.22 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.23 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.24 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.25 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.26 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.27 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.28 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.29 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.30 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.31 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.32 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.33 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.34 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.35 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.36 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.37 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.38 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.39 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.40 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.41 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.42 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.43 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.44 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.45 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.46 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.47 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.48 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.49 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |
15.8-2.0.2-2-4-4-4-4-4-4.50 |
$15$ |
$0$ |
$C_2\times C_4$ |
$8$ |
$5$ |
$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$ |
|
|
$(1,2)(3,4)(5,6)(7,8),\ldots$ |