S3xS2_12^a:   det = 4471184572226676864
S3xS2_12^b:   det = 4508595451809050112
S3xS2_12^c:   det = 4487905850354357760
S3xS2_12^d:   det = 4472953016608895616
S3xS2_12^e:   det = 4491308808516854016
S3xS2_12^1:   det = 4427072104026184704
S3xS2_12^2:   det = 4516938902381568768
S3xS2_12^3:   det = 4519195838098849152
S3xS2_12^4:   det = 4462367691313832832
S3xS2_12^5:   det = 4458734349452054784
S3xS2_12^6:   det = 4462808147212197888
S3xS2_12^7:   det = 4510998517033628928
S3xS2_12^8:   det = 4461505554901683456
S3xS2_12^9:   det = 4490018160497307648
S3xS2_12^10:  det = 4471282304389022976
S3xS2_12^11:  det = 4462927583276768256
S3xS2_12^12:  det = 4432878112436484480
S3xS2_12^13:  det = 4440437175503661696
S3xS2_12^14:  det = 4464588155279495040
S3xS2_12^15:  det = 4474763252695459584
S3xS2_12^16:  det = 4399901595722400768
S3xS2_12^17:  det = 4494738473546880384
S3xS2_12^18:  det = 4449992187736158336
S3xS2_12^19:  det = 4462671314666976768
S3xS2_12^20:  det = 4467405008186184960