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Splitting U(0,1)F
| U(0,1)F | Primus splitvalues | Secundus splitvalues | Tertius splitvalues | Quartus splitvalues |
| [1] | 2 | 0 | 1 | 1 |
| [2] | F | 1 | F+1 | F-1 |
| [3] | 0 | 0 | -1 | 1 |
| [4] | -1 | 1 | 0 | 0 |
| Splitting U(0,1)F the primus | Primus doubled | Secundus doubled | Secundus doubled | Primus doubled | Tertius doubled | Quartus doubled | Quartus doubled | Tertius doubled | |||||||||||||||||
| U-5 | -F4+3F2-1 | = | -F | * | F3-3F | + | -1 | = | F2-2 | * | -F2+1 | + | 1 | = | F2-F-1 | * | -F2-F+1 | + | 0 | = | -F2-F+1 | * | F2-F-1 | + | 0 |
| U-4 | -F3+2F | = | -F | * | F2-2 | + | 0 | = | F2-2 | * | -F | + | 0 | = | F2-F-1 | * | -F-1 | + | -1 | = | -F2-F+1 | * | F-1 | + | 1 |
| U-3 | -F2+1 | = | -1 | * | F2-2 | + | -1 | = | F | * | -F | + | 1 | = | F-1 | * | -F-1 | + | 0 | = | -F-1 | * | F-1 | + | 0 |
| U-2 | -F | = | -1 | * | F | + | 0 | = | F | * | -1 | + | 0 | = | F-1 | * | -1 | + | -1 | = | -F-1 | * | 1 | + | 1 |
| U-1 | -1 | = | 0 | * | F | + | -1 | = | 2 | * | -1 | + | 1 | = | 1 | * | -1 | + | 0 | = | -1 | * | 1 | + | 0 |
| U0 | 0 | = | 0 | * | 2 | + | 0 | = | 2 | * | 0 | + | 0 | = | 1 | * | 1 | + | -1 | = | -1 | * | 1 | + | 1 |
| U1 | 1 | = | 1 | * | 2 | + | -1 | = | F | * | 0 | + | 1 | = | 1 | * | 1 | + | 0 | = | 1 | * | 1 | + | 0 |
| U2 | F | = | 1 | * | F | + | 0 | = | F | * | 1 | + | 0 | = | 1 | * | F+1 | + | -1 | = | 1 | * | F-1 | + | 1 |
| U3 | F2-1 | = | F | * | F | + | -1 | = | F2-2 | * | 1 | + | 1 | = | F-1 | * | F+1 | + | 0 | = | F+1 | * | F-1 | + | 0 |
| U4 | F3-2F | = | F | * | F2-2 | + | 0 | = | F2-2 | * | F | + | 0 | = | F-1 | * | F2+F-1 | + | -1 | = | F+1 | * | F2-F-1 | + | 1 |
| U5 | F4-3F2+1 | = | F2-1 | * | F2-2 | + | -1 | = | F3-3F | * | F | + | 1 | = | F2-F-1 | * | F2+F-1 | + | 0 | = | F2+F-1 | * | F2-F-1 | + | 0 |
Note that the secundus-based split of a zero-series is neutral: what goes in comes out - in this case the primus.
Note also that a series operating on itself - in this case the primus-based split - renders the secundus as its output series.