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Minimum monotone vals: Difference between revisions

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This page lists the earliest [[generalized patent val]], written with [[wart notation]], that achieves [[diamond monotone]] in each [[odd limit]] from 1 to 127. Warts for primes above 101 use capital letters; for example, the wart for prime 103 is "A", and the wart for prime 107 is "B".
This page lists the earliest [[generalized patent val]], written with [[wart notation]], that achieves [[diamond monotone]] in each [[odd limit]] from 1 to 127. Warts for primes above 101 use capital letters; for example, the wart for prime 103 is "A", and the wart for prime 107 is "B".


{| class="wikitable"
{| class="wikitable center-1"
! Odd limit
! Odd<br>limit
! Val
! Val
|-
|-
| 1-odd-limit
| 1
| 1
| 1
|-
|-
| 3-odd-limit
| 3
| 1
| 1
|-
|-
| 5-odd-limit
| 5
| 2
| 2
|-
|-
| 7-odd-limit
| 7
| 4
| 4
|-
|-
| 9-odd-limit
| 9
| 5
| 5
|-
|-
| 11-odd-limit
| 11
| 12
| 12
|-
|-
| 13-odd-limit
| 13
| 14c
| 14c
|-
|-
| 15-odd-limit
| 15
| 17c
| 17c
|-
|-
| 17-odd-limit
| 17
| 19
| 19
|-
|-
| 19-odd-limit
| 19
| 34dh
| 34dh
|-
|-
| 21-odd-limit
| 21
| 41
| 41
|-
|-
| 23-odd-limit
| 23
| 53e
| 53e
|-
|-
| 25-odd-limit
| 25
| 62
| 62
|-
|-
| 27-odd-limit
| 27
| 68e
| 68e
|-
|-
| 29-odd-limit
| 29
| 72
| 72
|-
|-
| 31-odd-limit
| 31
| 99efk
| 99efk
|-
|-
| 33-odd-limit
| 33
| 130
| 130
|-
|-
| 35-odd-limit
| 35
| 140
| 140
|-
|-
| 37-odd-limit
| 37
| 152fgj
| 152fgj
|-
|-
| 39-odd-limit
| 39
| 152fgj
| 152fgj
|-
|-
| 41-odd-limit
| 41
| 224
| 224
|-
|-
| 43-odd-limit
| 43
| 236dghin
| 236dghin
|-
|-
| 45-odd-limit
| 45
| 236dghin
| 236dghin
|-
|-
| 47-odd-limit
| 47
| 270i
| 270i
|-
|-
| 49-odd-limit
| 49
| 270i
| 270i
|-
|-
| 51-odd-limit
| 51
| 270i
| 270i
|-
|-
| 53-odd-limit
| 53
| 328hjm
| 328hjm
|-
|-
| 55-odd-limit
| 55
| 400i
| 400i
|-
|-
| 57-odd-limit
| 57
| 400i
| 400i
|-
|-
| 59-odd-limit
| 59
| 571
| 571
|-
|-
| 61-odd-limit
| 61
| 581j
| 581j
|-
|-
| 63-odd-limit
| 63
| 581jk
| 581jk
|-
|-
| 65-odd-limit
| 65
| 581jk
| 581jk
|-
|-
| 67-odd-limit
| 67
| 581jks
| 581jks
|-
|-
| 69-odd-limit
| 69
| 581jks
| 581jks
|-
|-
| 71-odd-limit
| 71
| 581jks
| 581jks
|-
|-
| 73-odd-limit
| 73
| 742i
| 742i
|-
|-
| 75-odd-limit
| 75
| 867lnu
| 867lnu
|-
|-
| 77-odd-limit
| 77
| 867lnu
| 867lnu
|-
|-
| 79-odd-limit
| 79
| 867lnu
| 867lnu
|-
|-
| 81-odd-limit
| 81
| 1106
| 1106
|-
|-
| 83-odd-limit
| 83
| 1205glt
| 1205glt
|-
|-
| 85-odd-limit
| 85
| 1205glt
| 1205glt
|-
|-
| 87-odd-limit
| 87
| 1205glt
| 1205glt
|-
|-
| 89-odd-limit
| 89
| 1395
| 1395
|-
|-
| 91-odd-limit
| 91
| 1448
| 1448
|-
|-
| 93-odd-limit
| 93
| 1448
| 1448
|-
|-
| 95-odd-limit
| 95
| 1448
| 1448
|-
|-
| 97-odd-limit
| 97
| 1718ps
| 1718ps
|-
|-
| 99-odd-limit
| 99
| 1718ps
| 1718ps
|-
|-
| 101-odd-limit
| 101
| 1966
| 1966
|-
|-
| 103-odd-limit
| 103
| 2072
| 2072
|-
|-
| 105-odd-limit
| 105
| 2072
| 2072
|-
|-
| 107-odd-limit
| 107
| 2159
| 2159
|-
|-
| 109-odd-limit
| 109
| 2460mrsw
| 2460mrsw
|-
|-
| 111-odd-limit
| 111
| 2460mrsw
| 2460mrsw
|-
|-
| 113-odd-limit
| 113
| 2460msw
| 2460msw
|-
|-
| 115-odd-limit
| 115
| 2460msw
| 2460msw
|-
|-
| 117-odd-limit
| 117
| 2460msw
| 2460msw
|-
|-
| 119-odd-limit
| 119
| 2730
| 2730
|-
|-
| 121-odd-limit
| 121
| 3084oruD
| 3084oruD
|-
|-
| 123-odd-limit
| 123
| 3084oruD
| 3084oruD
|-
|-
| 125-odd-limit
| 125
| 3768goqvxAC
| 3768goqvxAC
|-
|-
| 127-odd-limit
| 127
| 3768goqvxAC
| 3768goqvxAC
|}
|}


The last entry, the 3768goqvxAC val, is also the first to be diamond monotone in the 129-odd-limit.
The last entry, the 3768goqvxAC val, is also the first to be diamond monotone in the 129-odd-limit.
[[Category:EDO theory pages]]
[[Category:Val]]
[[Category:Mapping]]
[[Category:Odd limit]]
Retrieved from "https://en.xen.wiki/w/Minimum_monotone_vals"