# God's Algorithm out to 13f*

Just finished running out to a distance of 13 in the face turn metric.

First, the positions at exactly that distance:

``` d   mod M + inv          mod M       positions
-- ------------- -------------- ---------------
0             1              1               1
1             2              2              18
2             8              9             243
3            48             75            3240
4           509            934           43239
5          6198          12077          574908
6         80178         159131         7618438
7       1053077        2101575       100803036
8      13890036       27762103      1332343288
9     183339529      366611212     17596479795
10    2419418798     4838564147    232248063316
11   31909900767    63818720716   3063288809012
12  420569653153   841134600018  40374425656248
13 5538068321152 11076115427897 531653418284628
```
Next, the positions at that distance or less:
``` d   mod M + inv          mod M       positions
-- ------------- -------------- ---------------
0             1              1               1
1             3              3              19
2            11             12             262
3            59             87            3502
4           568           1021           46741
5          6766          13098          621649
6         86944         172229         8240087
7       1140021        2273804       109043123
8      15030057       30035907      1441386411
9     198369586      396647119     19037866206
10    2617788384     5235211266    251285929522
11   34527689151    69053931982   3314574738534
12  455097342304   910188532000  43689000394782
13 5993165663456 11986303959897 575342418679410
```
This was a ten-day computation on a machine without ECC, so I hope to get it verified independently.