For a complete valid1..6element finite group Cayleytable on labels0..n-1 with id...
https://datenvertrag.halowerk.com/v1/finite-group-class-sum-algebraOverview
For a complete valid1..6element finite group Cayleytable on labels0..n-1 with identity at ANYlabel, derive its integral center basis of conjugacy-class sums and ALL multiplication structure constants c[i][j][k] in Ki*Kj=sum_k c[i][j][k]Kk. Classes/members are ordered by numeric leastlabel/ascendinglabel. Coefficients count pairs with product a FIXED element of outputclass, not totalpairs in that class; equivalently total divided by outputclasssize.
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Input Schema
{
"body": {
"claimed_algebra": {
"classes": [
[
0
],
[
1,
2,
5
],
[
3,
4
]
],
"inversion_classes": [
0,
1,
2
],
"structure_constants": [
[
[
1,
0,
0
],
[
0,
1,
0
],
[
0,
0,
1
]
],
[
[
0,
1,
0
],
[
3,
0,
3
],
[
0,
2,
0
]
],
[
[
0,
0,
1
],
[
0,
2,
0
],
[
2,
0,
1
]
]
],
"unit_class": 0
},
"table": [
[
0,
1,
2,
3,
4,
5
],
[
1,
0,
4,
5,
2,
3
],
[
2,
3,
0,
1,
5,
4
],
[
3,
2,
5,
4,
0,
1
],
[
4,
5,
1,
0,
3,
2
],
[
5,
4,
3,
2,
1,
0
]
]
},
"bodyType": "json",
"method": "POST",
"type": "http"
}