DD-020 exact output Lab

Incremental Sharing Lab

Move one signal at a time from independent private search into a one-action pooling block. The Lab separates pooled-accuracy gain from lost independent rescue and selects only rows in the immutable DD-020 run.

The registered identity

G_s = 1 − (1−C_s)(1−q)^N−s

The point-channel theorem says each adjacent move weakly lowers discovery, strictly unless signals are perfect. The five-channel audit supplies a scope boundary: the guaranteed shortlist rises, so the point theorem is not an arbitrary-channel monotonicity result.

Evidence view

Targets

Agents

Private accuracy

Sharing step

Showing M=4, N=3, p=1/2, s=1→2 from the exact point census.

Pooled accuracy C_s1/2

Next pooled accuracy C_s+11/2

Discovery G_s7/8

Next discovery G_s+13/4

Marginal aggregation gain0

Lost rescue1/8

Net increment-1/8

Increment signnegative

Private baseline G₁7/8

Consensus G_N7/12

Exact discovery profile

Same-accuracy comparison is available in the registered-channel view.

7/8s=1

3/4s=2

7/12s=3

Canonical exact point profile

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M=4, N=3, p=1/2 under the registered symmetric noisy-point channel
Block size s	Pooled accuracy C_s	Discovery G_s	Increment
1	1/2	7/8	baseline
2	1/2	3/4	-1/8
3	7/12	7/12	-1/6

Registered channel comparison

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Five exact M=4, N=3 incremental-sharing profiles
Channel	One-person accuracy	(G₁, G₂, G₃)	Adjacent increments
Noisy point (accuracy 1/2)	1/2	7/8, 3/4, 7/12	-1/8, -1/6
Noisy shortlist (accuracy 3/8)	3/8	387/512, 11/16, 35/64	-35/512, -9/64
Guaranteed shortlist (accuracy 1/2)	1/2	7/8, 11/12, 17/18	1/24, 1/36
Explicit exclusion (accuracy 1/3)	1/3	19/27, 17/27, 16/27	-2/27, -1/27
Confidence point (accuracy 5/8)	5/8	485/512, 113/128, 295/384	-33/512, -11/96

Inspect all 2,054 exact adjacent transitions

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Complete point-census and registered-channel transitions used by the Lab
Source	Step	C_s	G_s	Aggregation gain	Lost rescue	Net	Sign	Private baseline	Consensus
M=2, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=2, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=2, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=2, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=2, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=2, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=2, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	1/2
M=2, N=3, p=1/2	2→3	1/2	3/4	0	1/4	-1/4	negative	7/8	1/2
M=2, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	20/27
M=2, N=3, p=2/3	2→3	2/3	8/9	2/27	2/9	-4/27	negative	26/27	20/27
M=2, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	27/32
M=2, N=3, p=3/4	2→3	3/4	15/16	3/32	3/16	-3/32	negative	63/64	27/32
M=2, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	25/27
M=2, N=3, p=5/6	2→3	5/6	35/36	5/54	5/36	-5/108	negative	215/216	25/27
M=2, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	243/250
M=2, N=3, p=9/10	2→3	9/10	99/100	9/125	9/100	-9/500	negative	999/1000	243/250
M=2, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	3971/4000
M=2, N=3, p=19/20	2→3	19/20	399/400	171/4000	19/400	-19/4000	negative	7999/8000	3971/4000
M=2, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=2, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	1/2
M=2, N=4, p=1/2	2→3	1/2	7/8	0	1/8	-1/8	negative	15/16	1/2
M=2, N=4, p=1/2	3→4	1/2	3/4	0	1/4	-1/4	negative	15/16	1/2
M=2, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	20/27
M=2, N=4, p=2/3	2→3	2/3	26/27	2/81	2/27	-4/81	negative	80/81	20/27
M=2, N=4, p=2/3	3→4	20/27	74/81	0	14/81	-14/81	negative	80/81	20/27
M=2, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	27/32
M=2, N=4, p=3/4	2→3	3/4	63/64	3/128	3/64	-3/128	negative	255/256	27/32
M=2, N=4, p=3/4	3→4	27/32	123/128	0	15/128	-15/128	negative	255/256	27/32
M=2, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	25/27
M=2, N=4, p=5/6	2→3	5/6	215/216	5/324	5/216	-5/648	negative	1295/1296	25/27
M=2, N=4, p=5/6	3→4	25/27	80/81	0	5/81	-5/81	negative	1295/1296	25/27
M=2, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	243/250
M=2, N=4, p=9/10	2→3	9/10	999/1000	9/1250	9/1000	-9/5000	negative	9999/10000	243/250
M=2, N=4, p=9/10	3→4	243/250	2493/2500	0	63/2500	-63/2500	negative	9999/10000	243/250
M=2, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	3971/4000
M=2, N=4, p=19/20	2→3	19/20	7999/8000	171/80000	19/8000	-19/80000	negative	159999/160000	3971/4000
M=2, N=4, p=19/20	3→4	3971/4000	79971/80000	0	551/80000	-551/80000	negative	159999/160000	3971/4000
M=2, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=2, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=2, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	1/2
M=2, N=5, p=1/2	2→3	1/2	15/16	0	1/16	-1/16	negative	31/32	1/2
M=2, N=5, p=1/2	3→4	1/2	7/8	0	1/8	-1/8	negative	31/32	1/2
M=2, N=5, p=1/2	4→5	1/2	3/4	0	1/4	-1/4	negative	31/32	1/2
M=2, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	64/81
M=2, N=5, p=2/3	2→3	2/3	80/81	2/243	2/81	-4/243	negative	242/243	64/81
M=2, N=5, p=2/3	3→4	20/27	236/243	0	14/243	-14/243	negative	242/243	64/81
M=2, N=5, p=2/3	4→5	20/27	74/81	4/81	14/81	-10/81	negative	242/243	64/81
M=2, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	459/512
M=2, N=5, p=3/4	2→3	3/4	255/256	3/512	3/256	-3/512	negative	1023/1024	459/512
M=2, N=5, p=3/4	3→4	27/32	507/512	0	15/512	-15/512	negative	1023/1024	459/512
M=2, N=5, p=3/4	4→5	27/32	123/128	27/512	15/128	-33/512	negative	1023/1024	459/512
M=2, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	625/648
M=2, N=5, p=5/6	2→3	5/6	1295/1296	5/1944	5/1296	-5/3888	negative	7775/7776	625/648
M=2, N=5, p=5/6	3→4	25/27	485/486	0	5/486	-5/486	negative	7775/7776	625/648
M=2, N=5, p=5/6	4→5	25/27	80/81	25/648	5/81	-5/216	negative	7775/7776	625/648
M=2, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	12393/12500
M=2, N=5, p=9/10	2→3	9/10	9999/10000	9/12500	9/10000	-9/50000	negative	99999/100000	12393/12500
M=2, N=5, p=9/10	3→4	243/250	24993/25000	0	63/25000	-63/25000	negative	99999/100000	12393/12500
M=2, N=5, p=9/10	4→5	243/250	2493/2500	243/12500	63/2500	-18/3125	negative	99999/100000	12393/12500
M=2, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	1598147/1600000
M=2, N=5, p=19/20	2→3	19/20	159999/160000	171/1600000	19/160000	-19/1600000	negative	3199999/3200000	1598147/1600000
M=2, N=5, p=19/20	3→4	3971/4000	1599971/1600000	0	551/1600000	-551/1600000	negative	3199999/3200000	1598147/1600000
M=2, N=5, p=19/20	4→5	3971/4000	79971/80000	9747/1600000	551/80000	-1273/1600000	negative	3199999/3200000	1598147/1600000
M=2, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=2, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=2, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=2, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	1/2
M=2, N=6, p=1/2	2→3	1/2	31/32	0	1/32	-1/32	negative	63/64	1/2
M=2, N=6, p=1/2	3→4	1/2	15/16	0	1/16	-1/16	negative	63/64	1/2
M=2, N=6, p=1/2	4→5	1/2	7/8	0	1/8	-1/8	negative	63/64	1/2
M=2, N=6, p=1/2	5→6	1/2	3/4	0	1/4	-1/4	negative	63/64	1/2
M=2, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	64/81
M=2, N=6, p=2/3	2→3	2/3	242/243	2/729	2/243	-4/729	negative	728/729	64/81
M=2, N=6, p=2/3	3→4	20/27	722/729	0	14/729	-14/729	negative	728/729	64/81
M=2, N=6, p=2/3	4→5	20/27	236/243	4/243	14/243	-10/243	negative	728/729	64/81
M=2, N=6, p=2/3	5→6	64/81	226/243	0	34/243	-34/243	negative	728/729	64/81
M=2, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	459/512
M=2, N=6, p=3/4	2→3	3/4	1023/1024	3/2048	3/1024	-3/2048	negative	4095/4096	459/512
M=2, N=6, p=3/4	3→4	27/32	2043/2048	0	15/2048	-15/2048	negative	4095/4096	459/512
M=2, N=6, p=3/4	4→5	27/32	507/512	27/2048	15/512	-33/2048	negative	4095/4096	459/512
M=2, N=6, p=3/4	5→6	459/512	1995/2048	0	159/2048	-159/2048	negative	4095/4096	459/512
M=2, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	625/648
M=2, N=6, p=5/6	2→3	5/6	7775/7776	5/11664	5/7776	-5/23328	negative	46655/46656	625/648
M=2, N=6, p=5/6	3→4	25/27	2915/2916	0	5/2916	-5/2916	negative	46655/46656	625/648
M=2, N=6, p=5/6	4→5	25/27	485/486	25/3888	5/486	-5/1296	negative	46655/46656	625/648
M=2, N=6, p=5/6	5→6	625/648	3865/3888	0	115/3888	-115/3888	negative	46655/46656	625/648
M=2, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	12393/12500
M=2, N=6, p=9/10	2→3	9/10	99999/100000	9/125000	9/100000	-9/500000	negative	999999/1000000	12393/12500
M=2, N=6, p=9/10	3→4	243/250	249993/250000	0	63/250000	-63/250000	negative	999999/1000000	12393/12500
M=2, N=6, p=9/10	4→5	243/250	24993/25000	243/125000	63/25000	-9/15625	negative	999999/1000000	12393/12500
M=2, N=6, p=9/10	5→6	12393/12500	124893/125000	0	963/125000	-963/125000	negative	999999/1000000	12393/12500
M=2, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	1598147/1600000
M=2, N=6, p=19/20	2→3	19/20	3199999/3200000	171/32000000	19/3200000	-19/32000000	negative	63999999/64000000	1598147/1600000
M=2, N=6, p=19/20	3→4	3971/4000	31999971/32000000	0	551/32000000	-551/32000000	negative	63999999/64000000	1598147/1600000
M=2, N=6, p=19/20	4→5	3971/4000	1599971/1600000	9747/32000000	551/1600000	-1273/32000000	negative	63999999/64000000	1598147/1600000
M=2, N=6, p=19/20	5→6	1598147/1600000	31998147/32000000	0	35207/32000000	-35207/32000000	negative	63999999/64000000	1598147/1600000
M=2, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=2, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=2, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=2, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=2, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	1/2
M=2, N=7, p=1/2	2→3	1/2	63/64	0	1/64	-1/64	negative	127/128	1/2
M=2, N=7, p=1/2	3→4	1/2	31/32	0	1/32	-1/32	negative	127/128	1/2
M=2, N=7, p=1/2	4→5	1/2	15/16	0	1/16	-1/16	negative	127/128	1/2
M=2, N=7, p=1/2	5→6	1/2	7/8	0	1/8	-1/8	negative	127/128	1/2
M=2, N=7, p=1/2	6→7	1/2	3/4	0	1/4	-1/4	negative	127/128	1/2
M=2, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	1808/2187
M=2, N=7, p=2/3	2→3	2/3	728/729	2/2187	2/729	-4/2187	negative	2186/2187	1808/2187
M=2, N=7, p=2/3	3→4	20/27	2180/2187	0	14/2187	-14/2187	negative	2186/2187	1808/2187
M=2, N=7, p=2/3	4→5	20/27	722/729	4/729	14/729	-10/729	negative	2186/2187	1808/2187
M=2, N=7, p=2/3	5→6	64/81	712/729	0	34/729	-34/729	negative	2186/2187	1808/2187
M=2, N=7, p=2/3	6→7	64/81	226/243	80/2187	34/243	-226/2187	negative	2186/2187	1808/2187
M=2, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	3807/4096
M=2, N=7, p=3/4	2→3	3/4	4095/4096	3/8192	3/4096	-3/8192	negative	16383/16384	3807/4096
M=2, N=7, p=3/4	3→4	27/32	8187/8192	0	15/8192	-15/8192	negative	16383/16384	3807/4096
M=2, N=7, p=3/4	4→5	27/32	2043/2048	27/8192	15/2048	-33/8192	negative	16383/16384	3807/4096
M=2, N=7, p=3/4	5→6	459/512	8139/8192	0	159/8192	-159/8192	negative	16383/16384	3807/4096
M=2, N=7, p=3/4	6→7	459/512	1995/2048	135/4096	159/2048	-183/4096	negative	16383/16384	3807/4096
M=2, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	34375/34992
M=2, N=7, p=5/6	2→3	5/6	46655/46656	5/69984	5/46656	-5/139968	negative	279935/279936	34375/34992
M=2, N=7, p=5/6	3→4	25/27	17495/17496	0	5/17496	-5/17496	negative	279935/279936	34375/34992
M=2, N=7, p=5/6	4→5	25/27	2915/2916	25/23328	5/2916	-5/7776	negative	279935/279936	34375/34992
M=2, N=7, p=5/6	5→6	625/648	23305/23328	0	115/23328	-115/23328	negative	279935/279936	34375/34992
M=2, N=7, p=5/6	6→7	625/648	3865/3888	625/34992	115/3888	-205/17496	negative	279935/279936	34375/34992
M=2, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	124659/125000
M=2, N=7, p=9/10	2→3	9/10	999999/1000000	9/1250000	9/1000000	-9/5000000	negative	9999999/10000000	124659/125000
M=2, N=7, p=9/10	3→4	243/250	2499993/2500000	0	63/2500000	-63/2500000	negative	9999999/10000000	124659/125000
M=2, N=7, p=9/10	4→5	243/250	249993/250000	243/1250000	63/250000	-9/156250	negative	9999999/10000000	124659/125000
M=2, N=7, p=9/10	5→6	12393/12500	1249893/1250000	0	963/1250000	-963/1250000	negative	9999999/10000000	124659/125000
M=2, N=7, p=9/10	6→7	12393/12500	124893/125000	729/125000	963/125000	-117/62500	negative	9999999/10000000	124659/125000
M=2, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	63987611/64000000
M=2, N=7, p=19/20	2→3	19/20	63999999/64000000	171/640000000	19/64000000	-19/640000000	negative	1279999999/1280000000	63987611/64000000
M=2, N=7, p=19/20	3→4	3971/4000	639999971/640000000	0	551/640000000	-551/640000000	negative	1279999999/1280000000	63987611/64000000
M=2, N=7, p=19/20	4→5	3971/4000	31999971/32000000	9747/640000000	551/32000000	-1273/640000000	negative	1279999999/1280000000	63987611/64000000
M=2, N=7, p=19/20	5→6	1598147/1600000	639998147/640000000	0	35207/640000000	-35207/640000000	negative	1279999999/1280000000	63987611/64000000
M=2, N=7, p=19/20	6→7	1598147/1600000	31998147/32000000	61731/64000000	35207/32000000	-8683/64000000	negative	1279999999/1280000000	63987611/64000000
M=2, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=2, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=2, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=2, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=2, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=2, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	1/2
M=2, N=8, p=1/2	2→3	1/2	127/128	0	1/128	-1/128	negative	255/256	1/2
M=2, N=8, p=1/2	3→4	1/2	63/64	0	1/64	-1/64	negative	255/256	1/2
M=2, N=8, p=1/2	4→5	1/2	31/32	0	1/32	-1/32	negative	255/256	1/2
M=2, N=8, p=1/2	5→6	1/2	15/16	0	1/16	-1/16	negative	255/256	1/2
M=2, N=8, p=1/2	6→7	1/2	7/8	0	1/8	-1/8	negative	255/256	1/2
M=2, N=8, p=1/2	7→8	1/2	3/4	0	1/4	-1/4	negative	255/256	1/2
M=2, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	1808/2187
M=2, N=8, p=2/3	2→3	2/3	2186/2187	2/6561	2/2187	-4/6561	negative	6560/6561	1808/2187
M=2, N=8, p=2/3	3→4	20/27	6554/6561	0	14/6561	-14/6561	negative	6560/6561	1808/2187
M=2, N=8, p=2/3	4→5	20/27	2180/2187	4/2187	14/2187	-10/2187	negative	6560/6561	1808/2187
M=2, N=8, p=2/3	5→6	64/81	2170/2187	0	34/2187	-34/2187	negative	6560/6561	1808/2187
M=2, N=8, p=2/3	6→7	64/81	712/729	80/6561	34/729	-226/6561	negative	6560/6561	1808/2187
M=2, N=8, p=2/3	7→8	1808/2187	6182/6561	0	758/6561	-758/6561	negative	6560/6561	1808/2187
M=2, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	3807/4096
M=2, N=8, p=3/4	2→3	3/4	16383/16384	3/32768	3/16384	-3/32768	negative	65535/65536	3807/4096
M=2, N=8, p=3/4	3→4	27/32	32763/32768	0	15/32768	-15/32768	negative	65535/65536	3807/4096
M=2, N=8, p=3/4	4→5	27/32	8187/8192	27/32768	15/8192	-33/32768	negative	65535/65536	3807/4096
M=2, N=8, p=3/4	5→6	459/512	32715/32768	0	159/32768	-159/32768	negative	65535/65536	3807/4096
M=2, N=8, p=3/4	6→7	459/512	8139/8192	135/16384	159/8192	-183/16384	negative	65535/65536	3807/4096
M=2, N=8, p=3/4	7→8	3807/4096	16095/16384	0	867/16384	-867/16384	negative	65535/65536	3807/4096
M=2, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	34375/34992
M=2, N=8, p=5/6	2→3	5/6	279935/279936	5/419904	5/279936	-5/839808	negative	1679615/1679616	34375/34992
M=2, N=8, p=5/6	3→4	25/27	104975/104976	0	5/104976	-5/104976	negative	1679615/1679616	34375/34992
M=2, N=8, p=5/6	4→5	25/27	17495/17496	25/139968	5/17496	-5/46656	negative	1679615/1679616	34375/34992
M=2, N=8, p=5/6	5→6	625/648	139945/139968	0	115/139968	-115/139968	negative	1679615/1679616	34375/34992
M=2, N=8, p=5/6	6→7	625/648	23305/23328	625/209952	115/23328	-205/104976	negative	1679615/1679616	34375/34992
M=2, N=8, p=5/6	7→8	34375/34992	209335/209952	0	3085/209952	-3085/209952	negative	1679615/1679616	34375/34992
M=2, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	124659/125000
M=2, N=8, p=9/10	2→3	9/10	9999999/10000000	9/12500000	9/10000000	-9/50000000	negative	99999999/100000000	124659/125000
M=2, N=8, p=9/10	3→4	243/250	24999993/25000000	0	63/25000000	-63/25000000	negative	99999999/100000000	124659/125000
M=2, N=8, p=9/10	4→5	243/250	2499993/2500000	243/12500000	63/2500000	-9/1562500	negative	99999999/100000000	124659/125000
M=2, N=8, p=9/10	5→6	12393/12500	12499893/12500000	0	963/12500000	-963/12500000	negative	99999999/100000000	124659/125000
M=2, N=8, p=9/10	6→7	12393/12500	1249893/1250000	729/1250000	963/1250000	-117/625000	negative	99999999/100000000	124659/125000
M=2, N=8, p=9/10	7→8	124659/125000	1249659/1250000	0	3069/1250000	-3069/1250000	negative	99999999/100000000	124659/125000
M=2, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=19/20	2→3	19/20	1279999999/1280000000	171/12800000000	19/1280000000	-19/12800000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=19/20	3→4	3971/4000	12799999971/12800000000	0	551/12800000000	-551/12800000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=19/20	4→5	3971/4000	639999971/640000000	9747/12800000000	551/640000000	-1273/12800000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=19/20	5→6	1598147/1600000	12799998147/12800000000	0	35207/12800000000	-35207/12800000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=19/20	6→7	1598147/1600000	639998147/640000000	61731/1280000000	35207/640000000	-8683/1280000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=19/20	7→8	63987611/64000000	1279987611/1280000000	0	235391/1280000000	-235391/1280000000	negative	25599999999/25600000000	63987611/64000000
M=2, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=2, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=2, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=2, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=2, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=2, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=2, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
M=3, N=2, p=1/3	1→2	1/3	5/9	0	2/9	-2/9	negative	5/9	1/3
M=3, N=2, p=2/5	1→2	2/5	16/25	0	6/25	-6/25	negative	16/25	2/5
M=3, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=3, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=3, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=3, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=3, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=3, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=3, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=3, p=1/3	1→2	1/3	19/27	0	4/27	-4/27	negative	19/27	1/3
M=3, N=3, p=1/3	2→3	1/3	5/9	0	2/9	-2/9	negative	19/27	1/3
M=3, N=3, p=2/5	1→2	2/5	98/125	0	18/125	-18/125	negative	98/125	53/125
M=3, N=3, p=2/5	2→3	2/5	16/25	3/125	6/25	-27/125	negative	98/125	53/125
M=3, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	9/16
M=3, N=3, p=1/2	2→3	1/2	3/4	1/16	1/4	-3/16	negative	7/8	9/16
M=3, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	7/9
M=3, N=3, p=2/3	2→3	2/3	8/9	1/9	2/9	-1/9	negative	26/27	7/9
M=3, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	111/128
M=3, N=3, p=3/4	2→3	3/4	15/16	15/128	3/16	-9/128	negative	63/64	111/128
M=3, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	15/16
M=3, N=3, p=5/6	2→3	5/6	35/36	5/48	5/36	-5/144	negative	215/216	15/16
M=3, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	1953/2000
M=3, N=3, p=9/10	2→3	9/10	99/100	153/2000	9/100	-27/2000	negative	999/1000	1953/2000
M=3, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	15903/16000
M=3, N=3, p=19/20	2→3	19/20	399/400	703/16000	19/400	-57/16000	negative	7999/8000	15903/16000
M=3, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=3, N=4, p=1/3	1→2	1/3	65/81	0	8/81	-8/81	negative	65/81	1/3
M=3, N=4, p=1/3	2→3	1/3	19/27	0	4/27	-4/27	negative	65/81	1/3
M=3, N=4, p=1/3	3→4	1/3	5/9	0	2/9	-2/9	negative	65/81	1/3
M=3, N=4, p=2/5	1→2	2/5	544/625	0	54/625	-54/625	negative	544/625	274/625
M=3, N=4, p=2/5	2→3	2/5	98/125	9/625	18/125	-81/625	negative	544/625	274/625
M=3, N=4, p=2/5	3→4	53/125	409/625	9/625	144/625	-27/125	negative	544/625	274/625
M=3, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	19/32
M=3, N=4, p=1/2	2→3	1/2	7/8	1/32	1/8	-3/32	negative	15/16	19/32
M=3, N=4, p=1/2	3→4	9/16	25/32	1/32	7/32	-3/16	negative	15/16	19/32
M=3, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	22/27
M=3, N=4, p=2/3	2→3	2/3	26/27	1/27	2/27	-1/27	negative	80/81	22/27
M=3, N=4, p=2/3	3→4	7/9	25/27	1/27	4/27	-1/9	negative	80/81	22/27
M=3, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	459/512
M=3, N=4, p=3/4	2→3	3/4	63/64	15/512	3/64	-9/512	negative	255/256	459/512
M=3, N=4, p=3/4	3→4	111/128	495/512	15/512	51/512	-9/128	negative	255/256	459/512
M=3, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	275/288
M=3, N=4, p=5/6	2→3	5/6	215/216	5/288	5/216	-5/864	negative	1295/1296	275/288
M=3, N=4, p=5/6	3→4	15/16	95/96	5/288	5/96	-5/144	negative	1295/1296	275/288
M=3, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	19683/20000
M=3, N=4, p=9/10	2→3	9/10	999/1000	153/20000	9/1000	-27/20000	negative	9999/10000	19683/20000
M=3, N=4, p=9/10	3→4	1953/2000	19953/20000	153/20000	423/20000	-27/2000	negative	9999/10000	19683/20000
M=3, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	318763/320000
M=3, N=4, p=19/20	2→3	19/20	7999/8000	703/320000	19/8000	-57/320000	negative	159999/160000	318763/320000
M=3, N=4, p=19/20	3→4	15903/16000	319903/320000	703/320000	1843/320000	-57/16000	negative	159999/160000	318763/320000
M=3, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=3, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=3, N=5, p=1/3	1→2	1/3	211/243	0	16/243	-16/243	negative	211/243	1/3
M=3, N=5, p=1/3	2→3	1/3	65/81	0	8/81	-8/81	negative	211/243	1/3
M=3, N=5, p=1/3	3→4	1/3	19/27	0	4/27	-4/27	negative	211/243	1/3
M=3, N=5, p=1/3	4→5	1/3	5/9	0	2/9	-2/9	negative	211/243	1/3
M=3, N=5, p=2/5	1→2	2/5	2882/3125	0	162/3125	-162/3125	negative	2882/3125	1397/3125
M=3, N=5, p=2/5	2→3	2/5	544/625	27/3125	54/625	-243/3125	negative	2882/3125	1397/3125
M=3, N=5, p=2/5	3→4	53/125	2477/3125	27/3125	432/3125	-81/625	negative	2882/3125	1397/3125
M=3, N=5, p=2/5	4→5	274/625	2072/3125	27/3125	702/3125	-27/125	negative	2882/3125	1397/3125
M=3, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	79/128
M=3, N=5, p=1/2	2→3	1/2	15/16	1/64	1/16	-3/64	negative	31/32	79/128
M=3, N=5, p=1/2	3→4	9/16	57/64	1/64	7/64	-3/32	negative	31/32	79/128
M=3, N=5, p=1/2	4→5	19/32	51/64	3/128	13/64	-23/128	negative	31/32	79/128
M=3, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	23/27
M=3, N=5, p=2/3	2→3	2/3	80/81	1/81	2/81	-1/81	negative	242/243	23/27
M=3, N=5, p=2/3	3→4	7/9	79/81	1/81	4/81	-1/27	negative	242/243	23/27
M=3, N=5, p=2/3	4→5	22/27	76/81	1/27	10/81	-7/81	negative	242/243	23/27
M=3, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	3807/4096
M=3, N=5, p=3/4	2→3	3/4	255/256	15/2048	3/256	-9/2048	negative	1023/1024	3807/4096
M=3, N=5, p=3/4	3→4	111/128	2031/2048	15/2048	51/2048	-9/512	negative	1023/1024	3807/4096
M=3, N=5, p=3/4	4→5	459/512	1995/2048	135/4096	159/2048	-183/4096	negative	1023/1024	3807/4096
M=3, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	125/128
M=3, N=5, p=5/6	2→3	5/6	1295/1296	5/1728	5/1296	-5/5184	negative	7775/7776	125/128
M=3, N=5, p=5/6	3→4	15/16	575/576	5/1728	5/576	-5/864	negative	7775/7776	125/128
M=3, N=5, p=5/6	4→5	275/288	1715/1728	25/1152	65/1728	-55/3456	negative	7775/7776	125/128
M=3, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	397791/400000
M=3, N=5, p=9/10	2→3	9/10	9999/10000	153/200000	9/10000	-27/200000	negative	99999/100000	397791/400000
M=3, N=5, p=9/10	3→4	1953/2000	199953/200000	153/200000	423/200000	-27/20000	negative	99999/100000	397791/400000
M=3, N=5, p=9/10	4→5	19683/20000	199683/200000	4131/400000	2853/200000	-63/16000	negative	99999/100000	397791/400000
M=3, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	12790591/12800000
M=3, N=5, p=19/20	2→3	19/20	159999/160000	703/6400000	19/160000	-57/6400000	negative	3199999/3200000	12790591/12800000
M=3, N=5, p=19/20	3→4	15903/16000	6399903/6400000	703/6400000	1843/6400000	-57/320000	negative	3199999/3200000	12790591/12800000
M=3, N=5, p=19/20	4→5	318763/320000	6398763/6400000	40071/12800000	23503/6400000	-1387/2560000	negative	3199999/3200000	12790591/12800000
M=3, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=3, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=3, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=3, N=6, p=1/3	1→2	1/3	665/729	0	32/729	-32/729	negative	665/729	1/3
M=3, N=6, p=1/3	2→3	1/3	211/243	0	16/243	-16/243	negative	665/729	1/3
M=3, N=6, p=1/3	3→4	1/3	65/81	0	8/81	-8/81	negative	665/729	1/3
M=3, N=6, p=1/3	4→5	1/3	19/27	0	4/27	-4/27	negative	665/729	1/3
M=3, N=6, p=1/3	5→6	1/3	5/9	0	2/9	-2/9	negative	665/729	1/3
M=3, N=6, p=2/5	1→2	2/5	14896/15625	0	486/15625	-486/15625	negative	14896/15625	23/50
M=3, N=6, p=2/5	2→3	2/5	2882/3125	81/15625	162/3125	-729/15625	negative	14896/15625	23/50
M=3, N=6, p=2/5	3→4	53/125	13681/15625	81/15625	1296/15625	-243/3125	negative	14896/15625	23/50
M=3, N=6, p=2/5	4→5	274/625	12466/15625	81/15625	2106/15625	-81/625	negative	14896/15625	23/50
M=3, N=6, p=2/5	5→6	1397/3125	10441/15625	81/6250	3456/15625	-6507/31250	negative	14896/15625	23/50
M=3, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	331/512
M=3, N=6, p=1/2	2→3	1/2	31/32	1/128	1/32	-3/128	negative	63/64	331/512
M=3, N=6, p=1/2	3→4	9/16	121/128	1/128	7/128	-3/64	negative	63/64	331/512
M=3, N=6, p=1/2	4→5	19/32	115/128	3/256	13/128	-23/256	negative	63/64	331/512
M=3, N=6, p=1/2	5→6	79/128	207/256	15/512	49/256	-83/512	negative	63/64	331/512
M=3, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	143/162
M=3, N=6, p=2/3	2→3	2/3	242/243	1/243	2/243	-1/243	negative	728/729	143/162
M=3, N=6, p=2/3	3→4	7/9	241/243	1/243	4/243	-1/81	negative	728/729	143/162
M=3, N=6, p=2/3	4→5	22/27	238/243	1/81	10/243	-7/243	negative	728/729	143/162
M=3, N=6, p=2/3	5→6	23/27	77/81	5/162	8/81	-11/162	negative	728/729	143/162
M=3, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	31131/32768
M=3, N=6, p=3/4	2→3	3/4	1023/1024	15/8192	3/1024	-9/8192	negative	4095/4096	31131/32768
M=3, N=6, p=3/4	3→4	111/128	8175/8192	15/8192	51/8192	-9/2048	negative	4095/4096	31131/32768
M=3, N=6, p=3/4	4→5	459/512	8139/8192	135/16384	159/8192	-183/16384	negative	4095/4096	31131/32768
M=3, N=6, p=3/4	5→6	3807/4096	16095/16384	675/32768	867/16384	-1059/32768	negative	4095/4096	31131/32768
M=3, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	13625/13824
M=3, N=6, p=5/6	2→3	5/6	7775/7776	5/10368	5/7776	-5/31104	negative	46655/46656	13625/13824
M=3, N=6, p=5/6	3→4	15/16	3455/3456	5/10368	5/3456	-5/5184	negative	46655/46656	13625/13824
M=3, N=6, p=5/6	4→5	275/288	10355/10368	25/6912	65/10368	-55/20736	negative	46655/46656	13625/13824
M=3, N=6, p=5/6	5→6	125/128	255/256	125/13824	5/256	-145/13824	negative	46655/46656	13625/13824
M=3, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	319059/320000
M=3, N=6, p=9/10	2→3	9/10	99999/100000	153/2000000	9/100000	-27/2000000	negative	999999/1000000	319059/320000
M=3, N=6, p=9/10	3→4	1953/2000	1999953/2000000	153/2000000	423/2000000	-27/200000	negative	999999/1000000	319059/320000
M=3, N=6, p=9/10	4→5	19683/20000	1999683/2000000	4131/4000000	2853/2000000	-63/160000	negative	999999/1000000	319059/320000
M=3, N=6, p=9/10	5→6	397791/400000	3997791/4000000	4131/1600000	19881/4000000	-19107/8000000	negative	999999/1000000	319059/320000
M=3, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	102364799/102400000
M=3, N=6, p=19/20	2→3	19/20	3199999/3200000	703/128000000	19/3200000	-57/128000000	negative	63999999/64000000	102364799/102400000
M=3, N=6, p=19/20	3→4	15903/16000	127999903/128000000	703/128000000	1843/128000000	-57/6400000	negative	63999999/64000000	102364799/102400000
M=3, N=6, p=19/20	4→5	318763/320000	127998763/128000000	40071/256000000	23503/128000000	-1387/51200000	negative	63999999/64000000	102364799/102400000
M=3, N=6, p=19/20	5→6	12790591/12800000	255990591/256000000	40071/102400000	178771/256000000	-157187/512000000	negative	63999999/64000000	102364799/102400000
M=3, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=3, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=3, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=3, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=3, N=7, p=1/3	1→2	1/3	2059/2187	0	64/2187	-64/2187	negative	2059/2187	1/3
M=3, N=7, p=1/3	2→3	1/3	665/729	0	32/729	-32/729	negative	2059/2187	1/3
M=3, N=7, p=1/3	3→4	1/3	211/243	0	16/243	-16/243	negative	2059/2187	1/3
M=3, N=7, p=1/3	4→5	1/3	65/81	0	8/81	-8/81	negative	2059/2187	1/3
M=3, N=7, p=1/3	5→6	1/3	19/27	0	4/27	-4/27	negative	2059/2187	1/3
M=3, N=7, p=1/3	6→7	1/3	5/9	0	2/9	-2/9	negative	2059/2187	1/3
M=3, N=7, p=2/5	1→2	2/5	75938/78125	0	1458/78125	-1458/78125	negative	75938/78125	7363/15625
M=3, N=7, p=2/5	2→3	2/5	14896/15625	243/78125	486/15625	-2187/78125	negative	75938/78125	7363/15625
M=3, N=7, p=2/5	3→4	53/125	72293/78125	243/78125	3888/78125	-729/15625	negative	75938/78125	7363/15625
M=3, N=7, p=2/5	4→5	274/625	68648/78125	243/78125	6318/78125	-243/3125	negative	75938/78125	7363/15625
M=3, N=7, p=2/5	5→6	1397/3125	62573/78125	243/31250	10368/78125	-19521/156250	negative	75938/78125	7363/15625
M=3, N=7, p=2/5	6→7	23/50	169/250	351/31250	27/125	-6399/31250	negative	75938/78125	7363/15625
M=3, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	687/1024
M=3, N=7, p=1/2	2→3	1/2	63/64	1/256	1/64	-3/256	negative	127/128	687/1024
M=3, N=7, p=1/2	3→4	9/16	249/256	1/256	7/256	-3/128	negative	127/128	687/1024
M=3, N=7, p=1/2	4→5	19/32	243/256	3/512	13/256	-23/512	negative	127/128	687/1024
M=3, N=7, p=1/2	5→6	79/128	463/512	15/1024	49/512	-83/1024	negative	127/128	687/1024
M=3, N=7, p=1/2	6→7	331/512	843/1024	25/1024	181/1024	-39/256	negative	127/128	687/1024
M=3, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	661/729
M=3, N=7, p=2/3	2→3	2/3	728/729	1/729	2/729	-1/729	negative	2186/2187	661/729
M=3, N=7, p=2/3	3→4	7/9	727/729	1/729	4/729	-1/243	negative	2186/2187	661/729
M=3, N=7, p=2/3	4→5	22/27	724/729	1/243	10/729	-7/729	negative	2186/2187	661/729
M=3, N=7, p=2/3	5→6	23/27	239/243	5/486	8/243	-11/486	negative	2186/2187	661/729
M=3, N=7, p=2/3	6→7	143/162	467/486	35/1458	19/243	-79/1458	negative	2186/2187	661/729
M=3, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	126549/131072
M=3, N=7, p=3/4	2→3	3/4	4095/4096	15/32768	3/4096	-9/32768	negative	16383/16384	126549/131072
M=3, N=7, p=3/4	3→4	111/128	32751/32768	15/32768	51/32768	-9/8192	negative	16383/16384	126549/131072
M=3, N=7, p=3/4	4→5	459/512	32715/32768	135/65536	159/32768	-183/65536	negative	16383/16384	126549/131072
M=3, N=7, p=3/4	5→6	3807/4096	65247/65536	675/131072	867/65536	-1059/131072	negative	16383/16384	126549/131072
M=3, N=7, p=3/4	6→7	31131/32768	129435/131072	2025/131072	4911/131072	-1443/65536	negative	16383/16384	126549/131072
M=3, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	246875/248832
M=3, N=7, p=5/6	2→3	5/6	46655/46656	5/62208	5/46656	-5/186624	negative	279935/279936	246875/248832
M=3, N=7, p=5/6	3→4	15/16	20735/20736	5/62208	5/20736	-5/31104	negative	279935/279936	246875/248832
M=3, N=7, p=5/6	4→5	275/288	62195/62208	25/41472	65/62208	-55/124416	negative	279935/279936	246875/248832
M=3, N=7, p=5/6	5→6	125/128	1535/1536	125/82944	5/1536	-145/82944	negative	279935/279936	246875/248832
M=3, N=7, p=5/6	6→7	13625/13824	82745/82944	1625/248832	995/82944	-85/15552	negative	279935/279936	246875/248832
M=3, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	15981867/16000000
M=3, N=7, p=9/10	2→3	9/10	999999/1000000	153/20000000	9/1000000	-27/20000000	negative	9999999/10000000	15981867/16000000
M=3, N=7, p=9/10	3→4	1953/2000	19999953/20000000	153/20000000	423/20000000	-27/2000000	negative	9999999/10000000	15981867/16000000
M=3, N=7, p=9/10	4→5	19683/20000	19999683/20000000	4131/40000000	2853/20000000	-63/1600000	negative	9999999/10000000	15981867/16000000
M=3, N=7, p=9/10	5→6	397791/400000	39997791/40000000	4131/16000000	19881/40000000	-19107/80000000	negative	9999999/10000000	15981867/16000000
M=3, N=7, p=9/10	6→7	319059/320000	3199059/3200000	28917/16000000	8469/3200000	-3357/4000000	negative	9999999/10000000	15981867/16000000
M=3, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	2047843617/2048000000
M=3, N=7, p=19/20	2→3	19/20	63999999/64000000	703/2560000000	19/64000000	-57/2560000000	negative	1279999999/1280000000	2047843617/2048000000
M=3, N=7, p=19/20	3→4	15903/16000	2559999903/2560000000	703/2560000000	1843/2560000000	-57/128000000	negative	1279999999/1280000000	2047843617/2048000000
M=3, N=7, p=19/20	4→5	318763/320000	2559998763/2560000000	40071/5120000000	23503/2560000000	-1387/1024000000	negative	1279999999/1280000000	2047843617/2048000000
M=3, N=7, p=19/20	5→6	12790591/12800000	5119990591/5120000000	40071/2048000000	178771/5120000000	-157187/10240000000	negative	1279999999/1280000000	2047843617/2048000000
M=3, N=7, p=19/20	6→7	102364799/102400000	2047964799/2048000000	547637/2048000000	668819/2048000000	-60591/1024000000	negative	1279999999/1280000000	2047843617/2048000000
M=3, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=3, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=3, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=3, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=3, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=3, N=8, p=1/3	1→2	1/3	6305/6561	0	128/6561	-128/6561	negative	6305/6561	1/3
M=3, N=8, p=1/3	2→3	1/3	2059/2187	0	64/2187	-64/2187	negative	6305/6561	1/3
M=3, N=8, p=1/3	3→4	1/3	665/729	0	32/729	-32/729	negative	6305/6561	1/3
M=3, N=8, p=1/3	4→5	1/3	211/243	0	16/243	-16/243	negative	6305/6561	1/3
M=3, N=8, p=1/3	5→6	1/3	65/81	0	8/81	-8/81	negative	6305/6561	1/3
M=3, N=8, p=1/3	6→7	1/3	19/27	0	4/27	-4/27	negative	6305/6561	1/3
M=3, N=8, p=1/3	7→8	1/3	5/9	0	2/9	-2/9	negative	6305/6561	1/3
M=3, N=8, p=2/5	1→2	2/5	384064/390625	0	4374/390625	-4374/390625	negative	384064/390625	37382/78125
M=3, N=8, p=2/5	2→3	2/5	75938/78125	729/390625	1458/78125	-6561/390625	negative	384064/390625	37382/78125
M=3, N=8, p=2/5	3→4	53/125	373129/390625	729/390625	11664/390625	-2187/78125	negative	384064/390625	37382/78125
M=3, N=8, p=2/5	4→5	274/625	362194/390625	729/390625	18954/390625	-729/15625	negative	384064/390625	37382/78125
M=3, N=8, p=2/5	5→6	1397/3125	343969/390625	729/156250	31104/390625	-58563/781250	negative	384064/390625	37382/78125
M=3, N=8, p=2/5	6→7	23/50	1007/1250	1053/156250	81/625	-19197/156250	negative	384064/390625	37382/78125
M=3, N=8, p=2/5	7→8	7363/15625	53339/78125	567/78125	16524/78125	-15957/78125	negative	384064/390625	37382/78125
M=3, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	1409/2048
M=3, N=8, p=1/2	2→3	1/2	127/128	1/512	1/128	-3/512	negative	255/256	1409/2048
M=3, N=8, p=1/2	3→4	9/16	505/512	1/512	7/512	-3/256	negative	255/256	1409/2048
M=3, N=8, p=1/2	4→5	19/32	499/512	3/1024	13/512	-23/1024	negative	255/256	1409/2048
M=3, N=8, p=1/2	5→6	79/128	975/1024	15/2048	49/1024	-83/2048	negative	255/256	1409/2048
M=3, N=8, p=1/2	6→7	331/512	1867/2048	25/2048	181/2048	-39/512	negative	255/256	1409/2048
M=3, N=8, p=1/2	7→8	687/1024	1711/2048	35/2048	337/2048	-151/1024	negative	255/256	1409/2048
M=3, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	2018/2187
M=3, N=8, p=2/3	2→3	2/3	2186/2187	1/2187	2/2187	-1/2187	negative	6560/6561	2018/2187
M=3, N=8, p=2/3	3→4	7/9	2185/2187	1/2187	4/2187	-1/729	negative	6560/6561	2018/2187
M=3, N=8, p=2/3	4→5	22/27	2182/2187	1/729	10/2187	-7/2187	negative	6560/6561	2018/2187
M=3, N=8, p=2/3	5→6	23/27	725/729	5/1458	8/729	-11/1458	negative	6560/6561	2018/2187
M=3, N=8, p=2/3	6→7	143/162	1439/1458	35/4374	19/729	-79/4374	negative	6560/6561	2018/2187
M=3, N=8, p=2/3	7→8	661/729	2119/2187	35/2187	136/2187	-101/2187	negative	6560/6561	2018/2187
M=3, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	510921/524288
M=3, N=8, p=3/4	2→3	3/4	16383/16384	15/131072	3/16384	-9/131072	negative	65535/65536	510921/524288
M=3, N=8, p=3/4	3→4	111/128	131055/131072	15/131072	51/131072	-9/32768	negative	65535/65536	510921/524288
M=3, N=8, p=3/4	4→5	459/512	131019/131072	135/262144	159/131072	-183/262144	negative	65535/65536	510921/524288
M=3, N=8, p=3/4	5→6	3807/4096	261855/262144	675/524288	867/262144	-1059/524288	negative	65535/65536	510921/524288
M=3, N=8, p=3/4	6→7	31131/32768	522651/524288	2025/524288	4911/524288	-1443/262144	negative	65535/65536	510921/524288
M=3, N=8, p=3/4	7→8	126549/131072	519765/524288	4725/524288	13569/524288	-2211/131072	negative	65535/65536	510921/524288
M=3, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=5/6	2→3	5/6	279935/279936	5/373248	5/279936	-5/1119744	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=5/6	3→4	15/16	124415/124416	5/373248	5/124416	-5/186624	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=5/6	4→5	275/288	373235/373248	25/248832	65/373248	-55/746496	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=5/6	5→6	125/128	9215/9216	125/497664	5/9216	-145/497664	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=5/6	6→7	13625/13824	497465/497664	1625/1492992	995/497664	-85/93312	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=5/6	7→8	246875/248832	1491035/1492992	4375/1492992	9785/1492992	-2705/746496	negative	1679615/1679616	1485625/1492992
M=3, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=9/10	2→3	9/10	9999999/10000000	153/200000000	9/10000000	-27/200000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=9/10	3→4	1953/2000	199999953/200000000	153/200000000	423/200000000	-27/20000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=9/10	4→5	19683/20000	199999683/200000000	4131/400000000	2853/200000000	-63/16000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=9/10	5→6	397791/400000	399997791/400000000	4131/160000000	19881/400000000	-19107/800000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=9/10	6→7	319059/320000	31999059/32000000	28917/160000000	8469/32000000	-3357/40000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=9/10	7→8	15981867/16000000	159981867/160000000	86751/160000000	163197/160000000	-38223/80000000	negative	99999999/100000000	159905421/160000000
M=3, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=19/20	2→3	19/20	1279999999/1280000000	703/51200000000	19/1280000000	-57/51200000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=19/20	3→4	15903/16000	51199999903/51200000000	703/51200000000	1843/51200000000	-57/2560000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=19/20	4→5	318763/320000	51199998763/51200000000	40071/102400000000	23503/51200000000	-1387/20480000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=19/20	5→6	12790591/12800000	102399990591/102400000000	40071/40960000000	178771/102400000000	-157187/204800000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=19/20	6→7	102364799/102400000	40959964799/40960000000	547637/40960000000	668819/40960000000	-60591/20480000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=19/20	7→8	2047843617/2048000000	40959843617/40960000000	1776481/40960000000	2971277/40960000000	-298699/10240000000	negative	25599999999/25600000000	40958648821/40960000000
M=3, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=3, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=3, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=3, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=3, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=3, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=3, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
M=4, N=2, p=1/4	1→2	1/4	7/16	0	3/16	-3/16	negative	7/16	1/4
M=4, N=2, p=1/3	1→2	1/3	5/9	0	2/9	-2/9	negative	5/9	1/3
M=4, N=2, p=2/5	1→2	2/5	16/25	0	6/25	-6/25	negative	16/25	2/5
M=4, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=4, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=4, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=4, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=4, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=4, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=4, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=3, p=1/4	1→2	1/4	37/64	0	9/64	-9/64	negative	37/64	1/4
M=4, N=3, p=1/4	2→3	1/4	7/16	0	3/16	-3/16	negative	37/64	1/4
M=4, N=3, p=1/3	1→2	1/3	19/27	0	4/27	-4/27	negative	19/27	29/81
M=4, N=3, p=1/3	2→3	1/3	5/9	2/81	2/9	-16/81	negative	19/27	29/81
M=4, N=3, p=2/5	1→2	2/5	98/125	0	18/125	-18/125	negative	98/125	56/125
M=4, N=3, p=2/5	2→3	2/5	16/25	6/125	6/25	-24/125	negative	98/125	56/125
M=4, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	7/12
M=4, N=3, p=1/2	2→3	1/2	3/4	1/12	1/4	-1/6	negative	7/8	7/12
M=4, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	64/81
M=4, N=3, p=2/3	2→3	2/3	8/9	10/81	2/9	-8/81	negative	26/27	64/81
M=4, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	7/8
M=4, N=3, p=3/4	2→3	3/4	15/16	1/8	3/16	-1/16	negative	63/64	7/8
M=4, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	305/324
M=4, N=3, p=5/6	2→3	5/6	35/36	35/324	5/36	-5/162	negative	215/216	305/324
M=4, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	489/500
M=4, N=3, p=9/10	2→3	9/10	99/100	39/500	9/100	-3/250	negative	999/1000	489/500
M=4, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	2983/3000
M=4, N=3, p=19/20	2→3	19/20	399/400	133/3000	19/400	-19/6000	negative	7999/8000	2983/3000
M=4, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=4, N=4, p=1/4	1→2	1/4	175/256	0	27/256	-27/256	negative	175/256	1/4
M=4, N=4, p=1/4	2→3	1/4	37/64	0	9/64	-9/64	negative	175/256	1/4
M=4, N=4, p=1/4	3→4	1/4	7/16	0	3/16	-3/16	negative	175/256	1/4
M=4, N=4, p=1/3	1→2	1/3	65/81	0	8/81	-8/81	negative	65/81	277/729
M=4, N=4, p=1/3	2→3	1/3	19/27	4/243	4/27	-32/243	negative	65/81	277/729
M=4, N=4, p=1/3	3→4	29/81	139/243	16/729	52/243	-140/729	negative	65/81	277/729
M=4, N=4, p=2/5	1→2	2/5	544/625	0	54/625	-54/625	negative	544/625	304/625
M=4, N=4, p=2/5	2→3	2/5	98/125	18/625	18/125	-72/625	negative	544/625	304/625
M=4, N=4, p=2/5	3→4	56/125	418/625	24/625	138/625	-114/625	negative	544/625	304/625
M=4, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	23/36
M=4, N=4, p=1/2	2→3	1/2	7/8	1/24	1/8	-1/12	negative	15/16	23/36
M=4, N=4, p=1/2	3→4	7/12	19/24	1/18	5/24	-11/72	negative	15/16	23/36
M=4, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	616/729
M=4, N=4, p=2/3	2→3	2/3	26/27	10/243	2/27	-8/243	negative	80/81	616/729
M=4, N=4, p=2/3	3→4	64/81	226/243	40/729	34/243	-62/729	negative	80/81	616/729
M=4, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	11/12
M=4, N=4, p=3/4	2→3	3/4	63/64	1/32	3/64	-1/64	negative	255/256	11/12
M=4, N=4, p=3/4	3→4	7/8	31/32	1/24	3/32	-5/96	negative	255/256	11/12
M=4, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	2815/2916
M=4, N=4, p=5/6	2→3	5/6	215/216	35/1944	5/216	-5/972	negative	1295/1296	2815/2916
M=4, N=4, p=5/6	3→4	305/324	1925/1944	35/1458	95/1944	-145/5832	negative	1295/1296	2815/2916
M=4, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	2471/2500
M=4, N=4, p=9/10	2→3	9/10	999/1000	39/5000	9/1000	-3/2500	negative	9999/10000	2471/2500
M=4, N=4, p=9/10	3→4	489/500	4989/5000	13/1250	99/5000	-47/5000	negative	9999/10000	2471/2500
M=4, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	22439/22500
M=4, N=4, p=19/20	2→3	19/20	7999/8000	133/60000	19/8000	-19/120000	negative	159999/160000	22439/22500
M=4, N=4, p=19/20	3→4	2983/3000	59983/60000	133/45000	323/60000	-437/180000	negative	159999/160000	22439/22500
M=4, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=4, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=4, N=5, p=1/4	1→2	1/4	781/1024	0	81/1024	-81/1024	negative	781/1024	1/4
M=4, N=5, p=1/4	2→3	1/4	175/256	0	27/256	-27/256	negative	781/1024	1/4
M=4, N=5, p=1/4	3→4	1/4	37/64	0	9/64	-9/64	negative	781/1024	1/4
M=4, N=5, p=1/4	4→5	1/4	7/16	0	3/16	-3/16	negative	781/1024	1/4
M=4, N=5, p=1/3	1→2	1/3	211/243	0	16/243	-16/243	negative	211/243	859/2187
M=4, N=5, p=1/3	2→3	1/3	65/81	8/729	8/81	-64/729	negative	211/243	859/2187
M=4, N=5, p=1/3	3→4	29/81	521/729	32/2187	104/729	-280/2187	negative	211/243	859/2187
M=4, N=5, p=1/3	4→5	277/729	1283/2187	28/2187	452/2187	-424/2187	negative	211/243	859/2187
M=4, N=5, p=2/5	1→2	2/5	2882/3125	0	162/3125	-162/3125	negative	2882/3125	1592/3125
M=4, N=5, p=2/5	2→3	2/5	544/625	54/3125	54/625	-216/3125	negative	2882/3125	1592/3125
M=4, N=5, p=2/5	3→4	56/125	2504/3125	72/3125	414/3125	-342/3125	negative	2882/3125	1592/3125
M=4, N=5, p=2/5	4→5	304/625	2162/3125	72/3125	642/3125	-114/625	negative	2882/3125	1592/3125
M=4, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	97/144
M=4, N=5, p=1/2	2→3	1/2	15/16	1/48	1/16	-1/24	negative	31/32	97/144
M=4, N=5, p=1/2	3→4	7/12	43/48	1/36	5/48	-11/144	negative	31/32	97/144
M=4, N=5, p=1/2	4→5	23/36	59/72	5/144	13/72	-7/48	negative	31/32	97/144
M=4, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	1928/2187
M=4, N=5, p=2/3	2→3	2/3	80/81	10/729	2/81	-8/729	negative	242/243	1928/2187
M=4, N=5, p=2/3	3→4	64/81	712/729	40/2187	34/729	-62/2187	negative	242/243	1928/2187
M=4, N=5, p=2/3	4→5	616/729	2074/2187	80/2187	226/2187	-146/2187	negative	242/243	1928/2187
M=4, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	121/128
M=4, N=5, p=3/4	2→3	3/4	255/256	1/128	3/256	-1/256	negative	1023/1024	121/128
M=4, N=5, p=3/4	3→4	7/8	127/128	1/96	3/128	-5/384	negative	1023/1024	121/128
M=4, N=5, p=3/4	4→5	11/12	47/48	11/384	1/16	-13/384	negative	1023/1024	121/128
M=4, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	34375/34992
M=4, N=5, p=5/6	2→3	5/6	1295/1296	35/11664	5/1296	-5/5832	negative	7775/7776	34375/34992
M=4, N=5, p=5/6	3→4	305/324	11645/11664	35/8748	95/11664	-145/34992	negative	7775/7776	34375/34992
M=4, N=5, p=5/6	4→5	2815/2916	17395/17496	595/34992	505/17496	-415/34992	negative	7775/7776	34375/34992
M=4, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	49797/50000
M=4, N=5, p=9/10	2→3	9/10	9999/10000	39/50000	9/10000	-3/25000	negative	99999/100000	49797/50000
M=4, N=5, p=9/10	3→4	489/500	49989/50000	13/12500	99/50000	-47/50000	negative	99999/100000	49797/50000
M=4, N=5, p=9/10	4→5	2471/2500	24971/25000	377/50000	261/25000	-29/10000	negative	99999/100000	49797/50000
M=4, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	3598087/3600000
M=4, N=5, p=19/20	2→3	19/20	159999/160000	133/1200000	19/160000	-19/2400000	negative	3199999/3200000	3598087/3600000
M=4, N=5, p=19/20	3→4	2983/3000	1199983/1200000	133/900000	323/1200000	-437/3600000	negative	3199999/3200000	3598087/3600000
M=4, N=5, p=19/20	4→5	22439/22500	449939/450000	7847/3600000	1159/450000	-19/48000	negative	3199999/3200000	3598087/3600000
M=4, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=4, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=4, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=4, N=6, p=1/4	1→2	1/4	3367/4096	0	243/4096	-243/4096	negative	3367/4096	1/4
M=4, N=6, p=1/4	2→3	1/4	781/1024	0	81/1024	-81/1024	negative	3367/4096	1/4
M=4, N=6, p=1/4	3→4	1/4	175/256	0	27/256	-27/256	negative	3367/4096	1/4
M=4, N=6, p=1/4	4→5	1/4	37/64	0	9/64	-9/64	negative	3367/4096	1/4
M=4, N=6, p=1/4	5→6	1/4	7/16	0	3/16	-3/16	negative	3367/4096	1/4
M=4, N=6, p=1/3	1→2	1/3	665/729	0	32/729	-32/729	negative	665/729	2657/6561
M=4, N=6, p=1/3	2→3	1/3	211/243	16/2187	16/243	-128/2187	negative	665/729	2657/6561
M=4, N=6, p=1/3	3→4	29/81	1771/2187	64/6561	208/2187	-560/6561	negative	665/729	2657/6561
M=4, N=6, p=1/3	4→5	277/729	4753/6561	56/6561	904/6561	-848/6561	negative	665/729	2657/6561
M=4, N=6, p=1/3	5→6	859/2187	3905/6561	80/6561	1328/6561	-416/2187	negative	665/729	2657/6561
M=4, N=6, p=2/5	1→2	2/5	14896/15625	0	486/15625	-486/15625	negative	14896/15625	1664/3125
M=4, N=6, p=2/5	2→3	2/5	2882/3125	162/15625	162/3125	-648/15625	negative	14896/15625	1664/3125
M=4, N=6, p=2/5	3→4	56/125	13762/15625	216/15625	1242/15625	-1026/15625	negative	14896/15625	1664/3125
M=4, N=6, p=2/5	4→5	304/625	12736/15625	216/15625	1926/15625	-342/3125	negative	14896/15625	1664/3125
M=4, N=6, p=2/5	5→6	1592/3125	11026/15625	72/3125	3066/15625	-2706/15625	negative	14896/15625	1664/3125
M=4, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	17/24
M=4, N=6, p=1/2	2→3	1/2	31/32	1/96	1/32	-1/48	negative	63/64	17/24
M=4, N=6, p=1/2	3→4	7/12	91/96	1/72	5/96	-11/288	negative	63/64	17/24
M=4, N=6, p=1/2	4→5	23/36	131/144	5/288	13/144	-7/96	negative	63/64	17/24
M=4, N=6, p=1/2	5→6	97/144	241/288	5/144	47/288	-37/288	negative	63/64	17/24
M=4, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	5984/6561
M=4, N=6, p=2/3	2→3	2/3	242/243	10/2187	2/243	-8/2187	negative	728/729	5984/6561
M=4, N=6, p=2/3	3→4	64/81	2170/2187	40/6561	34/2187	-62/6561	negative	728/729	5984/6561
M=4, N=6, p=2/3	4→5	616/729	6448/6561	80/6561	226/6561	-146/6561	negative	728/729	5984/6561
M=4, N=6, p=2/3	5→6	1928/2187	6302/6561	200/6561	518/6561	-106/2187	negative	728/729	5984/6561
M=4, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	247/256
M=4, N=6, p=3/4	2→3	3/4	1023/1024	1/512	3/1024	-1/1024	negative	4095/4096	247/256
M=4, N=6, p=3/4	3→4	7/8	511/512	1/384	3/512	-5/1536	negative	4095/4096	247/256
M=4, N=6, p=3/4	4→5	11/12	191/192	11/1536	1/64	-13/1536	negative	4095/4096	247/256
M=4, N=6, p=3/4	5→6	121/128	505/512	5/256	21/512	-11/512	negative	4095/4096	247/256
M=4, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	6500/6561
M=4, N=6, p=5/6	2→3	5/6	7775/7776	35/69984	5/7776	-5/34992	negative	46655/46656	6500/6561
M=4, N=6, p=5/6	3→4	305/324	69965/69984	35/52488	95/69984	-145/209952	negative	46655/46656	6500/6561
M=4, N=6, p=5/6	4→5	2815/2916	104875/104976	595/209952	505/104976	-415/209952	negative	46655/46656	6500/6561
M=4, N=6, p=5/6	5→6	34375/34992	209335/209952	875/104976	3085/209952	-445/69984	negative	46655/46656	6500/6561
M=4, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	24957/25000
M=4, N=6, p=9/10	2→3	9/10	99999/100000	39/500000	9/100000	-3/250000	negative	999999/1000000	24957/25000
M=4, N=6, p=9/10	3→4	489/500	499989/500000	13/125000	99/500000	-47/500000	negative	999999/1000000	24957/25000
M=4, N=6, p=9/10	4→5	2471/2500	249971/250000	377/500000	261/250000	-29/100000	negative	999999/1000000	24957/25000
M=4, N=6, p=9/10	5→6	49797/50000	499797/500000	117/50000	1827/500000	-657/500000	negative	999999/1000000	24957/25000
M=4, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	2399567/2400000
M=4, N=6, p=19/20	2→3	19/20	3199999/3200000	133/24000000	19/3200000	-19/48000000	negative	63999999/64000000	2399567/2400000
M=4, N=6, p=19/20	3→4	2983/3000	23999983/24000000	133/18000000	323/24000000	-437/72000000	negative	63999999/64000000	2399567/2400000
M=4, N=6, p=19/20	4→5	22439/22500	8999939/9000000	7847/72000000	1159/9000000	-19/960000	negative	63999999/64000000	2399567/2400000
M=4, N=6, p=19/20	5→6	3598087/3600000	71998087/72000000	2527/7200000	36347/72000000	-11077/72000000	negative	63999999/64000000	2399567/2400000
M=4, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=4, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=4, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=4, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=4, N=7, p=1/4	1→2	1/4	14197/16384	0	729/16384	-729/16384	negative	14197/16384	1/4
M=4, N=7, p=1/4	2→3	1/4	3367/4096	0	243/4096	-243/4096	negative	14197/16384	1/4
M=4, N=7, p=1/4	3→4	1/4	781/1024	0	81/1024	-81/1024	negative	14197/16384	1/4
M=4, N=7, p=1/4	4→5	1/4	175/256	0	27/256	-27/256	negative	14197/16384	1/4
M=4, N=7, p=1/4	5→6	1/4	37/64	0	9/64	-9/64	negative	14197/16384	1/4
M=4, N=7, p=1/4	6→7	1/4	7/16	0	3/16	-3/16	negative	14197/16384	1/4
M=4, N=7, p=1/3	1→2	1/3	2059/2187	0	64/2187	-64/2187	negative	2059/2187	24793/59049
M=4, N=7, p=1/3	2→3	1/3	665/729	32/6561	32/729	-256/6561	negative	2059/2187	24793/59049
M=4, N=7, p=1/3	3→4	29/81	5729/6561	128/19683	416/6561	-1120/19683	negative	2059/2187	24793/59049
M=4, N=7, p=1/3	4→5	277/729	16067/19683	112/19683	1808/19683	-1696/19683	negative	2059/2187	24793/59049
M=4, N=7, p=1/3	5→6	859/2187	14371/19683	160/19683	2656/19683	-832/6561	negative	2059/2187	24793/59049
M=4, N=7, p=1/3	6→7	2657/6561	11875/19683	880/59049	3904/19683	-10832/59049	negative	2059/2187	24793/59049
M=4, N=7, p=2/5	1→2	2/5	75938/78125	0	1458/78125	-1458/78125	negative	75938/78125	8728/15625
M=4, N=7, p=2/5	2→3	2/5	14896/15625	486/78125	486/15625	-1944/78125	negative	75938/78125	8728/15625
M=4, N=7, p=2/5	3→4	56/125	72536/78125	648/78125	3726/78125	-3078/78125	negative	75938/78125	8728/15625
M=4, N=7, p=2/5	4→5	304/625	69458/78125	648/78125	5778/78125	-1026/15625	negative	75938/78125	8728/15625
M=4, N=7, p=2/5	5→6	1592/3125	64328/78125	216/15625	9198/78125	-8118/78125	negative	75938/78125	8728/15625
M=4, N=7, p=2/5	6→7	1664/3125	11242/15625	408/15625	2922/15625	-2514/15625	negative	75938/78125	8728/15625
M=4, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	107/144
M=4, N=7, p=1/2	2→3	1/2	63/64	1/192	1/64	-1/96	negative	127/128	107/144
M=4, N=7, p=1/2	3→4	7/12	187/192	1/144	5/192	-11/576	negative	127/128	107/144
M=4, N=7, p=1/2	4→5	23/36	275/288	5/576	13/288	-7/192	negative	127/128	107/144
M=4, N=7, p=1/2	5→6	97/144	529/576	5/288	47/576	-37/576	negative	127/128	107/144
M=4, N=7, p=1/2	6→7	17/24	41/48	5/144	7/48	-1/9	negative	127/128	107/144
M=4, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	55256/59049
M=4, N=7, p=2/3	2→3	2/3	728/729	10/6561	2/729	-8/6561	negative	2186/2187	55256/59049
M=4, N=7, p=2/3	3→4	64/81	6544/6561	40/19683	34/6561	-62/19683	negative	2186/2187	55256/59049
M=4, N=7, p=2/3	4→5	616/729	19570/19683	80/19683	226/19683	-146/19683	negative	2186/2187	55256/59049
M=4, N=7, p=2/3	5→6	1928/2187	19424/19683	200/19683	518/19683	-106/6561	negative	2186/2187	55256/59049
M=4, N=7, p=2/3	6→7	5984/6561	19106/19683	1400/59049	1154/19683	-2062/59049	negative	2186/2187	55256/59049
M=4, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	751/768
M=4, N=7, p=3/4	2→3	3/4	4095/4096	1/2048	3/4096	-1/4096	negative	16383/16384	751/768
M=4, N=7, p=3/4	3→4	7/8	2047/2048	1/1536	3/2048	-5/6144	negative	16383/16384	751/768
M=4, N=7, p=3/4	4→5	11/12	767/768	11/6144	1/256	-13/6144	negative	16383/16384	751/768
M=4, N=7, p=3/4	5→6	121/128	2041/2048	5/1024	21/2048	-11/2048	negative	16383/16384	751/768
M=4, N=7, p=3/4	6→7	247/256	1015/1024	5/384	27/1024	-41/3072	negative	16383/16384	751/768
M=4, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	940375/944784
M=4, N=7, p=5/6	2→3	5/6	46655/46656	35/419904	5/46656	-5/209952	negative	279935/279936	940375/944784
M=4, N=7, p=5/6	3→4	305/324	419885/419904	35/314928	95/419904	-145/1259712	negative	279935/279936	940375/944784
M=4, N=7, p=5/6	4→5	2815/2916	629755/629856	595/1259712	505/629856	-415/1259712	negative	279935/279936	940375/944784
M=4, N=7, p=5/6	5→6	34375/34992	1259095/1259712	875/629856	3085/1259712	-445/419904	negative	279935/279936	940375/944784
M=4, N=7, p=5/6	6→7	6500/6561	39305/39366	4375/944784	305/39366	-2945/944784	negative	279935/279936	940375/944784
M=4, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	249843/250000
M=4, N=7, p=9/10	2→3	9/10	999999/1000000	39/5000000	9/1000000	-3/2500000	negative	9999999/10000000	249843/250000
M=4, N=7, p=9/10	3→4	489/500	4999989/5000000	13/1250000	99/5000000	-47/5000000	negative	9999999/10000000	249843/250000
M=4, N=7, p=9/10	4→5	2471/2500	2499971/2500000	377/5000000	261/2500000	-29/1000000	negative	9999999/10000000	249843/250000
M=4, N=7, p=9/10	5→6	49797/50000	4999797/5000000	117/500000	1827/5000000	-657/5000000	negative	9999999/10000000	249843/250000
M=4, N=7, p=9/10	6→7	24957/25000	249957/250000	273/250000	387/250000	-57/125000	negative	9999999/10000000	249843/250000
M=4, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	35998559/36000000
M=4, N=7, p=19/20	2→3	19/20	63999999/64000000	133/480000000	19/64000000	-19/960000000	negative	1279999999/1280000000	35998559/36000000
M=4, N=7, p=19/20	3→4	2983/3000	479999983/480000000	133/360000000	323/480000000	-437/1440000000	negative	1279999999/1280000000	35998559/36000000
M=4, N=7, p=19/20	4→5	22439/22500	179999939/180000000	7847/1440000000	1159/180000000	-19/19200000	negative	1279999999/1280000000	35998559/36000000
M=4, N=7, p=19/20	5→6	3598087/3600000	1439998087/1440000000	2527/144000000	36347/1440000000	-11077/1440000000	negative	1279999999/1280000000	35998559/36000000
M=4, N=7, p=19/20	6→7	2399567/2400000	47999567/48000000	2527/18000000	8227/48000000	-893/28800000	negative	1279999999/1280000000	35998559/36000000
M=4, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=4, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=4, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=4, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=4, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=4, N=8, p=1/4	1→2	1/4	58975/65536	0	2187/65536	-2187/65536	negative	58975/65536	1/4
M=4, N=8, p=1/4	2→3	1/4	14197/16384	0	729/16384	-729/16384	negative	58975/65536	1/4
M=4, N=8, p=1/4	3→4	1/4	3367/4096	0	243/4096	-243/4096	negative	58975/65536	1/4
M=4, N=8, p=1/4	4→5	1/4	781/1024	0	81/1024	-81/1024	negative	58975/65536	1/4
M=4, N=8, p=1/4	5→6	1/4	175/256	0	27/256	-27/256	negative	58975/65536	1/4
M=4, N=8, p=1/4	6→7	1/4	37/64	0	9/64	-9/64	negative	58975/65536	1/4
M=4, N=8, p=1/4	7→8	1/4	7/16	0	3/16	-3/16	negative	58975/65536	1/4
M=4, N=8, p=1/3	1→2	1/3	6305/6561	0	128/6561	-128/6561	negative	6305/6561	76619/177147
M=4, N=8, p=1/3	2→3	1/3	2059/2187	64/19683	64/2187	-512/19683	negative	6305/6561	76619/177147
M=4, N=8, p=1/3	3→4	29/81	18019/19683	256/59049	832/19683	-2240/59049	negative	6305/6561	76619/177147
M=4, N=8, p=1/3	4→5	277/729	51817/59049	224/59049	3616/59049	-3392/59049	negative	6305/6561	76619/177147
M=4, N=8, p=1/3	5→6	859/2187	48425/59049	320/59049	5312/59049	-1664/19683	negative	6305/6561	76619/177147
M=4, N=8, p=1/3	6→7	2657/6561	43433/59049	1760/177147	7808/59049	-21664/177147	negative	6305/6561	76619/177147
M=4, N=8, p=1/3	7→8	24793/59049	108635/177147	2240/177147	34256/177147	-10672/59049	negative	6305/6561	76619/177147
M=4, N=8, p=2/5	1→2	2/5	384064/390625	0	4374/390625	-4374/390625	negative	384064/390625	9064/15625
M=4, N=8, p=2/5	2→3	2/5	75938/78125	1458/390625	1458/78125	-5832/390625	negative	384064/390625	9064/15625
M=4, N=8, p=2/5	3→4	56/125	373858/390625	1944/390625	11178/390625	-9234/390625	negative	384064/390625	9064/15625
M=4, N=8, p=2/5	4→5	304/625	364624/390625	1944/390625	17334/390625	-3078/78125	negative	384064/390625	9064/15625
M=4, N=8, p=2/5	5→6	1592/3125	349234/390625	648/78125	27594/390625	-24354/390625	negative	384064/390625	9064/15625
M=4, N=8, p=2/5	6→7	1664/3125	64976/78125	1224/78125	8766/78125	-7542/78125	negative	384064/390625	9064/15625
M=4, N=8, p=2/5	7→8	8728/15625	57434/78125	336/15625	13794/78125	-12114/78125	negative	384064/390625	9064/15625
M=4, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	499/648
M=4, N=8, p=1/2	2→3	1/2	127/128	1/384	1/128	-1/192	negative	255/256	499/648
M=4, N=8, p=1/2	3→4	7/12	379/384	1/288	5/384	-11/1152	negative	255/256	499/648
M=4, N=8, p=1/2	4→5	23/36	563/576	5/1152	13/576	-7/384	negative	255/256	499/648
M=4, N=8, p=1/2	5→6	97/144	1105/1152	5/576	47/1152	-37/1152	negative	255/256	499/648
M=4, N=8, p=1/2	6→7	17/24	89/96	5/288	7/96	-1/18	negative	255/256	499/648
M=4, N=8, p=1/2	7→8	107/144	251/288	35/1296	37/288	-263/2592	negative	255/256	499/648
M=4, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	168568/177147
M=4, N=8, p=2/3	2→3	2/3	2186/2187	10/19683	2/2187	-8/19683	negative	6560/6561	168568/177147
M=4, N=8, p=2/3	3→4	64/81	19666/19683	40/59049	34/19683	-62/59049	negative	6560/6561	168568/177147
M=4, N=8, p=2/3	4→5	616/729	58936/59049	80/59049	226/59049	-146/59049	negative	6560/6561	168568/177147
M=4, N=8, p=2/3	5→6	1928/2187	58790/59049	200/59049	518/59049	-106/19683	negative	6560/6561	168568/177147
M=4, N=8, p=2/3	6→7	5984/6561	58472/59049	1400/177147	1154/59049	-2062/177147	negative	6560/6561	168568/177147
M=4, N=8, p=2/3	7→8	55256/59049	173354/177147	2800/177147	7586/177147	-4786/177147	negative	6560/6561	168568/177147
M=4, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	4541/4608
M=4, N=8, p=3/4	2→3	3/4	16383/16384	1/8192	3/16384	-1/16384	negative	65535/65536	4541/4608
M=4, N=8, p=3/4	3→4	7/8	8191/8192	1/6144	3/8192	-5/24576	negative	65535/65536	4541/4608
M=4, N=8, p=3/4	4→5	11/12	3071/3072	11/24576	1/1024	-13/24576	negative	65535/65536	4541/4608
M=4, N=8, p=3/4	5→6	121/128	8185/8192	5/4096	21/8192	-11/8192	negative	65535/65536	4541/4608
M=4, N=8, p=3/4	6→7	247/256	4087/4096	5/1536	27/4096	-41/12288	negative	65535/65536	4541/4608
M=4, N=8, p=3/4	7→8	751/768	3055/3072	35/4608	17/1024	-83/9216	negative	65535/65536	4541/4608
M=4, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=5/6	2→3	5/6	279935/279936	35/2519424	5/279936	-5/1259712	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=5/6	3→4	305/324	2519405/2519424	35/1889568	95/2519424	-145/7558272	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=5/6	4→5	2815/2916	3779035/3779136	595/7558272	505/3779136	-415/7558272	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=5/6	5→6	34375/34992	7557655/7558272	875/3779136	3085/7558272	-445/2519424	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=5/6	6→7	6500/6561	236135/236196	4375/5668704	305/236196	-2945/5668704	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=5/6	7→8	940375/944784	5664295/5668704	6125/2834352	22045/5668704	-3265/1889568	negative	1679615/1679616	1413625/1417176
M=4, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	124967/125000
M=4, N=8, p=9/10	2→3	9/10	9999999/10000000	39/50000000	9/10000000	-3/25000000	negative	99999999/100000000	124967/125000
M=4, N=8, p=9/10	3→4	489/500	49999989/50000000	13/12500000	99/50000000	-47/50000000	negative	99999999/100000000	124967/125000
M=4, N=8, p=9/10	4→5	2471/2500	24999971/25000000	377/50000000	261/25000000	-29/10000000	negative	99999999/100000000	124967/125000
M=4, N=8, p=9/10	5→6	49797/50000	49999797/50000000	117/5000000	1827/50000000	-657/50000000	negative	99999999/100000000	124967/125000
M=4, N=8, p=9/10	6→7	24957/25000	2499957/2500000	273/2500000	387/2500000	-57/1250000	negative	99999999/100000000	124967/125000
M=4, N=8, p=9/10	7→8	249843/250000	2499843/2500000	91/250000	1413/2500000	-503/2500000	negative	99999999/100000000	124967/125000
M=4, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=19/20	2→3	19/20	1279999999/1280000000	133/9600000000	19/1280000000	-19/19200000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=19/20	3→4	2983/3000	9599999983/9600000000	133/7200000000	323/9600000000	-437/28800000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=19/20	4→5	22439/22500	3599999939/3600000000	7847/28800000000	1159/3600000000	-19/384000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=19/20	5→6	3598087/3600000	28799998087/28800000000	2527/2880000000	36347/28800000000	-11077/28800000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=19/20	6→7	2399567/2400000	959999567/960000000	2527/360000000	8227/960000000	-893/576000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=19/20	7→8	35998559/36000000	719998559/720000000	17689/648000000	27379/720000000	-69521/6480000000	negative	25599999999/25600000000	647991751/648000000
M=4, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=4, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=4, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=4, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=4, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=4, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=4, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
M=5, N=2, p=1/5	1→2	1/5	9/25	0	4/25	-4/25	negative	9/25	1/5
M=5, N=2, p=1/4	1→2	1/4	7/16	0	3/16	-3/16	negative	7/16	1/4
M=5, N=2, p=1/3	1→2	1/3	5/9	0	2/9	-2/9	negative	5/9	1/3
M=5, N=2, p=2/5	1→2	2/5	16/25	0	6/25	-6/25	negative	16/25	2/5
M=5, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=5, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=5, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=5, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=5, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=5, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=5, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=3, p=1/5	1→2	1/5	61/125	0	16/125	-16/125	negative	61/125	1/5
M=5, N=3, p=1/5	2→3	1/5	9/25	0	4/25	-4/25	negative	61/125	1/5
M=5, N=3, p=1/4	1→2	1/4	37/64	0	9/64	-9/64	negative	37/64	67/256
M=5, N=3, p=1/4	2→3	1/4	7/16	3/256	3/16	-45/256	negative	37/64	67/256
M=5, N=3, p=1/3	1→2	1/3	19/27	0	4/27	-4/27	negative	19/27	10/27
M=5, N=3, p=1/3	2→3	1/3	5/9	1/27	2/9	-5/27	negative	19/27	10/27
M=5, N=3, p=2/5	1→2	2/5	98/125	0	18/125	-18/125	negative	98/125	23/50
M=5, N=3, p=2/5	2→3	2/5	16/25	3/50	6/25	-9/50	negative	98/125	23/50
M=5, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	19/32
M=5, N=3, p=1/2	2→3	1/2	3/4	3/32	1/4	-5/32	negative	7/8	19/32
M=5, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	43/54
M=5, N=3, p=2/3	2→3	2/3	8/9	7/54	2/9	-5/54	negative	26/27	43/54
M=5, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	225/256
M=5, N=3, p=3/4	2→3	3/4	15/16	33/256	3/16	-15/256	negative	63/64	225/256
M=5, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	815/864
M=5, N=3, p=5/6	2→3	5/6	35/36	95/864	5/36	-25/864	negative	215/216	815/864
M=5, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	783/800
M=5, N=3, p=9/10	2→3	9/10	99/100	63/800	9/100	-9/800	negative	999/1000	783/800
M=5, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	1273/1280
M=5, N=3, p=19/20	2→3	19/20	399/400	57/1280	19/400	-19/6400	negative	7999/8000	1273/1280
M=5, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=5, N=4, p=1/5	1→2	1/5	369/625	0	64/625	-64/625	negative	369/625	1/5
M=5, N=4, p=1/5	2→3	1/5	61/125	0	16/125	-16/125	negative	369/625	1/5
M=5, N=4, p=1/5	3→4	1/5	9/25	0	4/25	-4/25	negative	369/625	1/5
M=5, N=4, p=1/4	1→2	1/4	175/256	0	27/256	-27/256	negative	175/256	563/2048
M=5, N=4, p=1/4	2→3	1/4	37/64	9/1024	9/64	-135/1024	negative	175/256	563/2048
M=5, N=4, p=1/4	3→4	67/256	457/1024	27/2048	189/1024	-351/2048	negative	175/256	563/2048
M=5, N=4, p=1/3	1→2	1/3	65/81	0	8/81	-8/81	negative	65/81	11/27
M=5, N=4, p=1/3	2→3	1/3	19/27	2/81	4/27	-10/81	negative	65/81	11/27
M=5, N=4, p=1/3	3→4	10/27	47/81	1/27	17/81	-14/81	negative	65/81	11/27
M=5, N=4, p=2/5	1→2	2/5	544/625	0	54/625	-54/625	negative	544/625	257/500
M=5, N=4, p=2/5	2→3	2/5	98/125	9/250	18/125	-27/250	negative	544/625	257/500
M=5, N=4, p=2/5	3→4	23/50	169/250	27/500	27/125	-81/500	negative	544/625	257/500
M=5, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	85/128
M=5, N=4, p=1/2	2→3	1/2	7/8	3/64	1/8	-5/64	negative	15/16	85/128
M=5, N=4, p=1/2	3→4	19/32	51/64	9/128	13/64	-17/128	negative	15/16	85/128
M=5, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	31/36
M=5, N=4, p=2/3	2→3	2/3	26/27	7/162	2/27	-5/162	negative	80/81	31/36
M=5, N=4, p=2/3	3→4	43/54	151/162	7/108	11/81	-23/324	negative	80/81	31/36
M=5, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	1899/2048
M=5, N=4, p=3/4	2→3	3/4	63/64	33/1024	3/64	-15/1024	negative	255/256	1899/2048
M=5, N=4, p=3/4	3→4	225/256	993/1024	99/2048	93/1024	-87/2048	negative	255/256	1899/2048
M=5, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	3355/3456
M=5, N=4, p=5/6	2→3	5/6	215/216	95/5184	5/216	-25/5184	negative	1295/1296	3355/3456
M=5, N=4, p=5/6	3→4	815/864	5135/5184	95/3456	245/5184	-205/10368	negative	1295/1296	3355/3456
M=5, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	15849/16000
M=5, N=4, p=9/10	2→3	9/10	999/1000	63/8000	9/1000	-9/8000	negative	9999/10000	15849/16000
M=5, N=4, p=9/10	3→4	783/800	7983/8000	189/16000	153/8000	-117/16000	negative	9999/10000	15849/16000
M=5, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	51091/51200
M=5, N=4, p=19/20	2→3	19/20	7999/8000	57/25600	19/8000	-19/128000	negative	159999/160000	51091/51200
M=5, N=4, p=19/20	3→4	1273/1280	25593/25600	171/51200	133/25600	-19/10240	negative	159999/160000	51091/51200
M=5, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=5, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=5, N=5, p=1/5	1→2	1/5	2101/3125	0	256/3125	-256/3125	negative	2101/3125	1/5
M=5, N=5, p=1/5	2→3	1/5	369/625	0	64/625	-64/625	negative	2101/3125	1/5
M=5, N=5, p=1/5	3→4	1/5	61/125	0	16/125	-16/125	negative	2101/3125	1/5
M=5, N=5, p=1/5	4→5	1/5	9/25	0	4/25	-4/25	negative	2101/3125	1/5
M=5, N=5, p=1/4	1→2	1/4	781/1024	0	81/1024	-81/1024	negative	781/1024	9305/32768
M=5, N=5, p=1/4	2→3	1/4	175/256	27/4096	27/256	-405/4096	negative	781/1024	9305/32768
M=5, N=5, p=1/4	3→4	67/256	2395/4096	81/8192	567/4096	-1053/8192	negative	781/1024	9305/32768
M=5, N=5, p=1/4	4→5	563/2048	3737/8192	297/32768	1485/8192	-5643/32768	negative	781/1024	9305/32768
M=5, N=5, p=1/3	1→2	1/3	211/243	0	16/243	-16/243	negative	211/243	35/81
M=5, N=5, p=1/3	2→3	1/3	65/81	4/243	8/81	-20/243	negative	211/243	35/81
M=5, N=5, p=1/3	3→4	10/27	175/243	2/81	34/243	-28/243	negative	211/243	35/81
M=5, N=5, p=1/3	4→5	11/27	49/81	2/81	16/81	-14/81	negative	211/243	35/81
M=5, N=5, p=2/5	1→2	2/5	2882/3125	0	162/3125	-162/3125	negative	2882/3125	5491/10000
M=5, N=5, p=2/5	2→3	2/5	544/625	27/1250	54/625	-81/1250	negative	2882/3125	5491/10000
M=5, N=5, p=2/5	3→4	23/50	1007/1250	81/2500	81/625	-243/2500	negative	2882/3125	5491/10000
M=5, N=5, p=2/5	4→5	257/500	1771/2500	351/10000	243/1250	-1593/10000	negative	2882/3125	5491/10000
M=5, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	725/1024
M=5, N=5, p=1/2	2→3	1/2	15/16	3/128	1/16	-5/128	negative	31/32	725/1024
M=5, N=5, p=1/2	3→4	19/32	115/128	9/256	13/128	-17/256	negative	31/32	725/1024
M=5, N=5, p=1/2	4→5	85/128	213/256	45/1024	43/256	-127/1024	negative	31/32	725/1024
M=5, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	1165/1296
M=5, N=5, p=2/3	2→3	2/3	80/81	7/486	2/81	-5/486	negative	242/243	1165/1296
M=5, N=5, p=2/3	3→4	43/54	475/486	7/324	11/243	-23/972	negative	242/243	1165/1296
M=5, N=5, p=2/3	4→5	31/36	103/108	49/1296	5/54	-71/1296	negative	242/243	1165/1296
M=5, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	31275/32768
M=5, N=5, p=3/4	2→3	3/4	255/256	33/4096	3/256	-15/4096	negative	1023/1024	31275/32768
M=5, N=5, p=3/4	3→4	225/256	4065/4096	99/8192	93/4096	-87/8192	negative	1023/1024	31275/32768
M=5, N=5, p=3/4	4→5	1899/2048	8043/8192	891/32768	447/8192	-897/32768	negative	1023/1024	31275/32768
M=5, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	81755/82944
M=5, N=5, p=5/6	2→3	5/6	1295/1296	95/31104	5/1296	-25/31104	negative	7775/7776	81755/82944
M=5, N=5, p=5/6	3→4	815/864	31055/31104	95/20736	245/31104	-205/62208	negative	7775/7776	81755/82944
M=5, N=5, p=5/6	4→5	3355/3456	20635/20736	1235/82944	505/20736	-785/82944	negative	7775/7776	81755/82944
M=5, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	637929/640000
M=5, N=5, p=9/10	2→3	9/10	9999/10000	63/80000	9/10000	-9/80000	negative	99999/100000	637929/640000
M=5, N=5, p=9/10	3→4	783/800	79983/80000	189/160000	153/80000	-117/160000	negative	99999/100000	637929/640000
M=5, N=5, p=9/10	4→5	15849/16000	159849/160000	3969/640000	1359/160000	-1467/640000	negative	99999/100000	637929/640000
M=5, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	4094291/4096000
M=5, N=5, p=19/20	2→3	19/20	159999/160000	57/512000	19/160000	-19/2560000	negative	3199999/3200000	4094291/4096000
M=5, N=5, p=19/20	3→4	1273/1280	511993/512000	171/1024000	133/512000	-19/204800	negative	3199999/3200000	4094291/4096000
M=5, N=5, p=19/20	4→5	51091/51200	1023891/1024000	7011/4096000	2071/1024000	-1273/4096000	negative	3199999/3200000	4094291/4096000
M=5, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=5, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=5, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=5, N=6, p=1/5	1→2	1/5	11529/15625	0	1024/15625	-1024/15625	negative	11529/15625	1/5
M=5, N=6, p=1/5	2→3	1/5	2101/3125	0	256/3125	-256/3125	negative	11529/15625	1/5
M=5, N=6, p=1/5	3→4	1/5	369/625	0	64/625	-64/625	negative	11529/15625	1/5
M=5, N=6, p=1/5	4→5	1/5	61/125	0	16/125	-16/125	negative	11529/15625	1/5
M=5, N=6, p=1/5	5→6	1/5	9/25	0	4/25	-4/25	negative	11529/15625	1/5
M=5, N=6, p=1/4	1→2	1/4	3367/4096	0	243/4096	-243/4096	negative	3367/4096	76141/262144
M=5, N=6, p=1/4	2→3	1/4	781/1024	81/16384	81/1024	-1215/16384	negative	3367/4096	76141/262144
M=5, N=6, p=1/4	3→4	67/256	11281/16384	243/32768	1701/16384	-3159/32768	negative	3367/4096	76141/262144
M=5, N=6, p=1/4	4→5	563/2048	19403/32768	891/131072	4455/32768	-16929/131072	negative	3367/4096	76141/262144
M=5, N=6, p=1/4	5→6	9305/32768	60683/131072	1701/262144	23463/131072	-45225/262144	negative	3367/4096	76141/262144
M=5, N=6, p=1/3	1→2	1/3	665/729	0	32/729	-32/729	negative	665/729	439/972
M=5, N=6, p=1/3	2→3	1/3	211/243	8/729	16/243	-40/729	negative	665/729	439/972
M=5, N=6, p=1/3	3→4	10/27	593/729	4/243	68/729	-56/729	negative	665/729	439/972
M=5, N=6, p=1/3	4→5	11/27	179/243	4/243	32/243	-28/243	negative	665/729	439/972
M=5, N=6, p=1/3	5→6	35/81	151/243	19/972	46/243	-55/324	negative	665/729	439/972
M=5, N=6, p=2/5	1→2	2/5	14896/15625	0	486/15625	-486/15625	negative	14896/15625	28913/50000
M=5, N=6, p=2/5	2→3	2/5	2882/3125	81/6250	162/3125	-243/6250	negative	14896/15625	28913/50000
M=5, N=6, p=2/5	3→4	23/50	5521/6250	243/12500	243/3125	-729/12500	negative	14896/15625	28913/50000
M=5, N=6, p=2/5	4→5	257/500	10313/12500	1053/50000	729/6250	-4779/50000	negative	14896/15625	28913/50000
M=5, N=6, p=2/5	5→6	5491/10000	36473/50000	729/25000	4509/25000	-189/1250	negative	14896/15625	28913/50000
M=5, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	3053/4096
M=5, N=6, p=1/2	2→3	1/2	31/32	3/256	1/32	-5/256	negative	63/64	3053/4096
M=5, N=6, p=1/2	3→4	19/32	243/256	9/512	13/256	-17/512	negative	63/64	3053/4096
M=5, N=6, p=1/2	4→5	85/128	469/512	45/2048	43/512	-127/2048	negative	63/64	3053/4096
M=5, N=6, p=1/2	5→6	725/1024	1749/2048	153/4096	299/2048	-445/4096	negative	63/64	3053/4096
M=5, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	3607/3888
M=5, N=6, p=2/3	2→3	2/3	242/243	7/1458	2/243	-5/1458	negative	728/729	3607/3888
M=5, N=6, p=2/3	3→4	43/54	1447/1458	7/972	11/729	-23/2916	negative	728/729	3607/3888
M=5, N=6, p=2/3	4→5	31/36	319/324	49/3888	5/162	-71/3888	negative	728/729	3607/3888
M=5, N=6, p=2/3	5→6	1165/1296	3757/3888	7/243	131/1944	-25/648	negative	728/729	3607/3888
M=5, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	254853/262144
M=5, N=6, p=3/4	2→3	3/4	1023/1024	33/16384	3/1024	-15/16384	negative	4095/4096	254853/262144
M=5, N=6, p=3/4	3→4	225/256	16353/16384	99/32768	93/16384	-87/32768	negative	4095/4096	254853/262144
M=5, N=6, p=3/4	4→5	1899/2048	32619/32768	891/131072	447/32768	-897/131072	negative	4095/4096	254853/262144
M=5, N=6, p=3/4	5→6	31275/32768	129579/131072	4653/262144	4479/131072	-4305/262144	negative	4095/4096	254853/262144
M=5, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	988375/995328
M=5, N=6, p=5/6	2→3	5/6	7775/7776	95/186624	5/7776	-25/186624	negative	46655/46656	988375/995328
M=5, N=6, p=5/6	3→4	815/864	186575/186624	95/124416	245/186624	-205/373248	negative	46655/46656	988375/995328
M=5, N=6, p=5/6	4→5	3355/3456	124315/124416	1235/497664	505/124416	-785/497664	negative	46655/46656	988375/995328
M=5, N=6, p=5/6	5→6	81755/82944	496475/497664	7315/995328	5945/497664	-1525/331776	negative	46655/46656	988375/995328
M=5, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	12784473/12800000
M=5, N=6, p=9/10	2→3	9/10	99999/100000	63/800000	9/100000	-9/800000	negative	999999/1000000	12784473/12800000
M=5, N=6, p=9/10	3→4	783/800	799983/800000	189/1600000	153/800000	-117/1600000	negative	999999/1000000	12784473/12800000
M=5, N=6, p=9/10	4→5	15849/16000	1599849/1600000	3969/6400000	1359/1600000	-1467/6400000	negative	999999/1000000	12784473/12800000
M=5, N=6, p=9/10	5→6	637929/640000	6397929/6400000	25893/12800000	18639/6400000	-2277/2560000	negative	999999/1000000	12784473/12800000
M=5, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	163820717/163840000
M=5, N=6, p=19/20	2→3	19/20	3199999/3200000	57/10240000	19/3200000	-19/51200000	negative	63999999/64000000	163820717/163840000
M=5, N=6, p=19/20	3→4	1273/1280	10239993/10240000	171/20480000	133/10240000	-19/4096000	negative	63999999/64000000	163820717/163840000
M=5, N=6, p=19/20	4→5	51091/51200	20479891/20480000	7011/81920000	2071/20480000	-1273/81920000	negative	63999999/64000000	163820717/163840000
M=5, N=6, p=19/20	5→6	4094291/4096000	81918291/81920000	49077/163840000	32471/81920000	-3173/32768000	negative	63999999/64000000	163820717/163840000
M=5, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=5, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=5, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=5, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=5, N=7, p=1/5	1→2	1/5	61741/78125	0	4096/78125	-4096/78125	negative	61741/78125	1/5
M=5, N=7, p=1/5	2→3	1/5	11529/15625	0	1024/15625	-1024/15625	negative	61741/78125	1/5
M=5, N=7, p=1/5	3→4	1/5	2101/3125	0	256/3125	-256/3125	negative	61741/78125	1/5
M=5, N=7, p=1/5	4→5	1/5	369/625	0	64/625	-64/625	negative	61741/78125	1/5
M=5, N=7, p=1/5	5→6	1/5	61/125	0	16/125	-16/125	negative	61741/78125	1/5
M=5, N=7, p=1/5	6→7	1/5	9/25	0	4/25	-4/25	negative	61741/78125	1/5
M=5, N=7, p=1/4	1→2	1/4	14197/16384	0	729/16384	-729/16384	negative	14197/16384	78031/262144
M=5, N=7, p=1/4	2→3	1/4	3367/4096	243/65536	243/4096	-3645/65536	negative	14197/16384	78031/262144
M=5, N=7, p=1/4	3→4	67/256	50227/65536	729/131072	5103/65536	-9477/131072	negative	14197/16384	78031/262144
M=5, N=7, p=1/4	4→5	563/2048	90977/131072	2673/524288	13365/131072	-50787/524288	negative	14197/16384	78031/262144
M=5, N=7, p=1/4	5→6	9305/32768	313121/524288	5103/1048576	70389/524288	-135675/1048576	negative	14197/16384	78031/262144
M=5, N=7, p=1/4	6→7	76141/262144	490567/1048576	945/131072	186003/1048576	-178443/1048576	negative	14197/16384	78031/262144
M=5, N=7, p=1/3	1→2	1/3	2059/2187	0	64/2187	-64/2187	negative	2059/2187	4141/8748
M=5, N=7, p=1/3	2→3	1/3	665/729	16/2187	32/729	-80/2187	negative	2059/2187	4141/8748
M=5, N=7, p=1/3	3→4	10/27	1915/2187	8/729	136/2187	-112/2187	negative	2059/2187	4141/8748
M=5, N=7, p=1/3	4→5	11/27	601/729	8/729	64/729	-56/729	negative	2059/2187	4141/8748
M=5, N=7, p=1/3	5→6	35/81	545/729	19/1458	92/729	-55/486	negative	2059/2187	4141/8748
M=5, N=7, p=1/3	6→7	439/972	925/1458	95/4374	533/2916	-1409/8748	negative	2059/2187	4141/8748
M=5, N=7, p=2/5	1→2	2/5	75938/78125	0	1458/78125	-1458/78125	negative	75938/78125	30479/50000
M=5, N=7, p=2/5	2→3	2/5	14896/15625	243/31250	486/15625	-729/31250	negative	75938/78125	30479/50000
M=5, N=7, p=2/5	3→4	23/50	29063/31250	729/62500	729/15625	-2187/62500	negative	75938/78125	30479/50000
M=5, N=7, p=2/5	4→5	257/500	55939/62500	3159/250000	2187/31250	-14337/250000	negative	75938/78125	30479/50000
M=5, N=7, p=2/5	5→6	5491/10000	209419/250000	2187/125000	13527/125000	-567/6250	negative	75938/78125	30479/50000
M=5, N=7, p=2/5	6→7	28913/50000	186739/250000	783/25000	21087/125000	-4293/31250	negative	75938/78125	30479/50000
M=5, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	3203/4096
M=5, N=7, p=1/2	2→3	1/2	63/64	3/512	1/64	-5/512	negative	127/128	3203/4096
M=5, N=7, p=1/2	3→4	19/32	499/512	9/1024	13/512	-17/1024	negative	127/128	3203/4096
M=5, N=7, p=1/2	4→5	85/128	981/1024	45/4096	43/1024	-127/4096	negative	127/128	3203/4096
M=5, N=7, p=1/2	5→6	725/1024	3797/4096	153/8192	299/4096	-445/8192	negative	127/128	3203/4096
M=5, N=7, p=1/2	6→7	3053/4096	7149/8192	75/2048	1043/8192	-743/8192	negative	127/128	3203/4096
M=5, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	33233/34992
M=5, N=7, p=2/3	2→3	2/3	728/729	7/4374	2/729	-5/4374	negative	2186/2187	33233/34992
M=5, N=7, p=2/3	3→4	43/54	4363/4374	7/2916	11/2187	-23/8748	negative	2186/2187	33233/34992
M=5, N=7, p=2/3	4→5	31/36	967/972	49/11664	5/486	-71/11664	negative	2186/2187	33233/34992
M=5, N=7, p=2/3	5→6	1165/1296	11533/11664	7/729	131/5832	-25/1944	negative	2186/2187	33233/34992
M=5, N=7, p=2/3	6→7	3607/3888	11383/11664	385/17496	281/5832	-229/8748	negative	2186/2187	33233/34992
M=5, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	257823/262144
M=5, N=7, p=3/4	2→3	3/4	4095/4096	33/65536	3/4096	-15/65536	negative	16383/16384	257823/262144
M=5, N=7, p=3/4	3→4	225/256	65505/65536	99/131072	93/65536	-87/131072	negative	16383/16384	257823/262144
M=5, N=7, p=3/4	4→5	1899/2048	130923/131072	891/524288	447/131072	-897/524288	negative	16383/16384	257823/262144
M=5, N=7, p=3/4	5→6	31275/32768	522795/524288	4653/1048576	4479/524288	-4305/1048576	negative	16383/16384	257823/262144
M=5, N=7, p=3/4	6→7	254853/262144	1041285/1048576	1485/131072	21873/1048576	-9993/1048576	negative	16383/16384	257823/262144
M=5, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	8928625/8957952
M=5, N=7, p=5/6	2→3	5/6	46655/46656	95/1119744	5/46656	-25/1119744	negative	279935/279936	8928625/8957952
M=5, N=7, p=5/6	3→4	815/864	1119695/1119744	95/746496	245/1119744	-205/2239488	negative	279935/279936	8928625/8957952
M=5, N=7, p=5/6	4→5	3355/3456	746395/746496	1235/2985984	505/746496	-785/2985984	negative	279935/279936	8928625/8957952
M=5, N=7, p=5/6	5→6	81755/82944	2984795/2985984	7315/5971968	5945/2985984	-1525/1990656	negative	279935/279936	8928625/8957952
M=5, N=7, p=5/6	6→7	988375/995328	5965015/5971968	16625/4478976	34765/5971968	-37795/17915904	negative	279935/279936	8928625/8957952
M=5, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	12794679/12800000
M=5, N=7, p=9/10	2→3	9/10	999999/1000000	63/8000000	9/1000000	-9/8000000	negative	9999999/10000000	12794679/12800000
M=5, N=7, p=9/10	3→4	783/800	7999983/8000000	189/16000000	153/8000000	-117/16000000	negative	9999999/10000000	12794679/12800000
M=5, N=7, p=9/10	4→5	15849/16000	15999849/16000000	3969/64000000	1359/16000000	-1467/64000000	negative	9999999/10000000	12794679/12800000
M=5, N=7, p=9/10	5→6	637929/640000	63997929/64000000	25893/128000000	18639/64000000	-2277/25600000	negative	9999999/10000000	12794679/12800000
M=5, N=7, p=9/10	6→7	12784473/12800000	127984473/128000000	5103/6400000	139743/128000000	-37683/128000000	negative	9999999/10000000	12794679/12800000
M=5, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	163835879/163840000
M=5, N=7, p=19/20	2→3	19/20	63999999/64000000	57/204800000	19/64000000	-19/1024000000	negative	1279999999/1280000000	163835879/163840000
M=5, N=7, p=19/20	3→4	1273/1280	204799993/204800000	171/409600000	133/204800000	-19/81920000	negative	1279999999/1280000000	163835879/163840000
M=5, N=7, p=19/20	4→5	51091/51200	409599891/409600000	7011/1638400000	2071/409600000	-1273/1638400000	negative	1279999999/1280000000	163835879/163840000
M=5, N=7, p=19/20	5→6	4094291/4096000	1638398291/1638400000	49077/3276800000	32471/1638400000	-3173/655360000	negative	1279999999/1280000000	163835879/163840000
M=5, N=7, p=19/20	6→7	163820717/163840000	3276780717/3276800000	7581/81920000	366377/3276800000	-63137/3276800000	negative	1279999999/1280000000	163835879/163840000
M=5, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=5, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=5, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=5, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=5, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=5, N=8, p=1/5	1→2	1/5	325089/390625	0	16384/390625	-16384/390625	negative	325089/390625	1/5
M=5, N=8, p=1/5	2→3	1/5	61741/78125	0	4096/78125	-4096/78125	negative	325089/390625	1/5
M=5, N=8, p=1/5	3→4	1/5	11529/15625	0	1024/15625	-1024/15625	negative	325089/390625	1/5
M=5, N=8, p=1/5	4→5	1/5	2101/3125	0	256/3125	-256/3125	negative	325089/390625	1/5
M=5, N=8, p=1/5	5→6	1/5	369/625	0	64/625	-64/625	negative	325089/390625	1/5
M=5, N=8, p=1/5	6→7	1/5	61/125	0	16/125	-16/125	negative	325089/390625	1/5
M=5, N=8, p=1/5	7→8	1/5	9/25	0	4/25	-4/25	negative	325089/390625	1/5
M=5, N=8, p=1/4	1→2	1/4	58975/65536	0	2187/65536	-2187/65536	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/4	2→3	1/4	14197/16384	729/262144	729/16384	-10935/262144	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/4	3→4	67/256	216217/262144	2187/524288	15309/262144	-28431/524288	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/4	4→5	563/2048	404003/524288	8019/2097152	40095/524288	-152361/2097152	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/4	5→6	9305/32768	1463651/2097152	15309/4194304	211167/2097152	-407025/4194304	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/4	6→7	76141/262144	2520277/4194304	2835/524288	558009/4194304	-535329/4194304	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/4	7→8	78031/262144	496237/1048576	263655/33554432	184113/1048576	-5627961/33554432	negative	58975/65536	10251623/33554432
M=5, N=8, p=1/3	1→2	1/3	6305/6561	0	128/6561	-128/6561	negative	6305/6561	107/216
M=5, N=8, p=1/3	2→3	1/3	2059/2187	32/6561	64/2187	-160/6561	negative	6305/6561	107/216
M=5, N=8, p=1/3	3→4	10/27	6017/6561	16/2187	272/6561	-224/6561	negative	6305/6561	107/216
M=5, N=8, p=1/3	4→5	11/27	1931/2187	16/2187	128/2187	-112/2187	negative	6305/6561	107/216
M=5, N=8, p=1/3	5→6	35/81	1819/2187	19/2187	184/2187	-55/729	negative	6305/6561	107/216
M=5, N=8, p=1/3	6→7	439/972	1654/2187	95/6561	533/4374	-1409/13122	negative	6305/6561	107/216
M=5, N=8, p=1/3	7→8	4141/8748	8515/13122	385/17496	4607/26244	-8059/52488	negative	6305/6561	107/216
M=5, N=8, p=2/5	1→2	2/5	384064/390625	0	4374/390625	-4374/390625	negative	384064/390625	255739/400000
M=5, N=8, p=2/5	2→3	2/5	75938/78125	729/156250	1458/78125	-2187/156250	negative	384064/390625	255739/400000
M=5, N=8, p=2/5	3→4	23/50	149689/156250	2187/312500	2187/78125	-6561/312500	negative	384064/390625	255739/400000
M=5, N=8, p=2/5	4→5	257/500	292817/312500	9477/1250000	6561/156250	-43011/1250000	negative	384064/390625	255739/400000
M=5, N=8, p=2/5	5→6	5491/10000	1128257/1250000	6561/625000	40581/625000	-1701/31250	negative	384064/390625	255739/400000
M=5, N=8, p=2/5	6→7	28913/50000	1060217/1250000	2349/125000	63261/625000	-12879/156250	negative	384064/390625	255739/400000
M=5, N=8, p=2/5	7→8	30479/50000	191437/250000	11907/400000	19521/125000	-252801/2000000	negative	384064/390625	255739/400000
M=5, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	106591/131072
M=5, N=8, p=1/2	2→3	1/2	127/128	3/1024	1/128	-5/1024	negative	255/256	106591/131072
M=5, N=8, p=1/2	3→4	19/32	1011/1024	9/2048	13/1024	-17/2048	negative	255/256	106591/131072
M=5, N=8, p=1/2	4→5	85/128	2005/2048	45/8192	43/2048	-127/8192	negative	255/256	106591/131072
M=5, N=8, p=1/2	5→6	725/1024	7893/8192	153/16384	299/8192	-445/16384	negative	255/256	106591/131072
M=5, N=8, p=1/2	6→7	3053/4096	15341/16384	75/4096	1043/16384	-743/16384	negative	255/256	106591/131072
M=5, N=8, p=1/2	7→8	3203/4096	7299/8192	4095/131072	893/8192	-10193/131072	negative	255/256	106591/131072
M=5, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	270029/279936
M=5, N=8, p=2/3	2→3	2/3	2186/2187	7/13122	2/2187	-5/13122	negative	6560/6561	270029/279936
M=5, N=8, p=2/3	3→4	43/54	13111/13122	7/8748	11/6561	-23/26244	negative	6560/6561	270029/279936
M=5, N=8, p=2/3	4→5	31/36	2911/2916	49/34992	5/1458	-71/34992	negative	6560/6561	270029/279936
M=5, N=8, p=2/3	5→6	1165/1296	34861/34992	7/2187	131/17496	-25/5832	negative	6560/6561	270029/279936
M=5, N=8, p=2/3	6→7	3607/3888	34711/34992	385/52488	281/17496	-229/26244	negative	6560/6561	270029/279936
M=5, N=8, p=2/3	7→8	33233/34992	103217/104976	4165/279936	1759/52488	-15649/839808	negative	6560/6561	270029/279936
M=5, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	33219639/33554432
M=5, N=8, p=3/4	2→3	3/4	16383/16384	33/262144	3/16384	-15/262144	negative	65535/65536	33219639/33554432
M=5, N=8, p=3/4	3→4	225/256	262113/262144	99/524288	93/262144	-87/524288	negative	65535/65536	33219639/33554432
M=5, N=8, p=3/4	4→5	1899/2048	524139/524288	891/2097152	447/524288	-897/2097152	negative	65535/65536	33219639/33554432
M=5, N=8, p=3/4	5→6	31275/32768	2095659/2097152	4653/4194304	4479/2097152	-4305/4194304	negative	65535/65536	33219639/33554432
M=5, N=8, p=3/4	6→7	254853/262144	4187013/4194304	1485/524288	21873/4194304	-9993/4194304	negative	65535/65536	33219639/33554432
M=5, N=8, p=3/4	7→8	257823/262144	1044255/1048576	218295/33554432	12963/1048576	-196521/33554432	negative	65535/65536	33219639/33554432
M=5, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=5/6	2→3	5/6	279935/279936	95/6718464	5/279936	-25/6718464	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=5/6	3→4	815/864	6718415/6718464	95/4478976	245/6718464	-205/13436928	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=5/6	4→5	3355/3456	4478875/4478976	1235/17915904	505/4478976	-785/17915904	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=5/6	5→6	81755/82944	17914715/17915904	7315/35831808	5945/17915904	-1525/11943936	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=5/6	6→7	988375/995328	35824855/35831808	16625/26873856	34765/35831808	-37795/107495424	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=5/6	7→8	8928625/8957952	53718385/53747712	482125/286654464	146635/53747712	-899785/859963392	negative	1679615/1679616	95399375/95551488
M=5, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=9/10	2→3	9/10	9999999/10000000	63/80000000	9/10000000	-9/80000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=9/10	3→4	783/800	79999983/80000000	189/160000000	153/80000000	-117/160000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=9/10	4→5	15849/16000	159999849/160000000	3969/640000000	1359/160000000	-1467/640000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=9/10	5→6	637929/640000	639997929/640000000	25893/1280000000	18639/640000000	-2277/256000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=9/10	6→7	12784473/12800000	1279984473/1280000000	5103/64000000	139743/1280000000	-37683/1280000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=9/10	7→8	12794679/12800000	127994679/128000000	107163/409600000	47889/128000000	-230409/2048000000	negative	99999999/100000000	409536891/409600000
M=5, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=19/20	2→3	19/20	1279999999/1280000000	57/4096000000	19/1280000000	-19/20480000000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=19/20	3→4	1273/1280	4095999993/4096000000	171/8192000000	133/4096000000	-19/1638400000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=19/20	4→5	51091/51200	8191999891/8192000000	7011/32768000000	2071/8192000000	-1273/32768000000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=19/20	5→6	4094291/4096000	32767998291/32768000000	49077/65536000000	32471/32768000000	-3173/13107200000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=19/20	6→7	163820717/163840000	65535980717/65536000000	7581/1638400000	366377/65536000000	-63137/65536000000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=19/20	7→8	163835879/163840000	3276795879/3276800000	386631/20971520000	78299/3276800000	-572413/104857600000	negative	25599999999/25600000000	20971379143/20971520000
M=5, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=5, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=5, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=5, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=5, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=5, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=5, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
M=6, N=2, p=1/6	1→2	1/6	11/36	0	5/36	-5/36	negative	11/36	1/6
M=6, N=2, p=1/5	1→2	1/5	9/25	0	4/25	-4/25	negative	9/25	1/5
M=6, N=2, p=1/4	1→2	1/4	7/16	0	3/16	-3/16	negative	7/16	1/4
M=6, N=2, p=1/3	1→2	1/3	5/9	0	2/9	-2/9	negative	5/9	1/3
M=6, N=2, p=2/5	1→2	2/5	16/25	0	6/25	-6/25	negative	16/25	2/5
M=6, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=6, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=6, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=6, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=6, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=6, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=6, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=3, p=1/6	1→2	1/6	91/216	0	25/216	-25/216	negative	91/216	1/6
M=6, N=3, p=1/6	2→3	1/6	11/36	0	5/36	-5/36	negative	91/216	1/6
M=6, N=3, p=1/5	1→2	1/5	61/125	0	16/125	-16/125	negative	61/125	129/625
M=6, N=3, p=1/5	2→3	1/5	9/25	4/625	4/25	-96/625	negative	61/125	129/625
M=6, N=3, p=1/4	1→2	1/4	37/64	0	9/64	-9/64	negative	37/64	43/160
M=6, N=3, p=1/4	2→3	1/4	7/16	3/160	3/16	-27/160	negative	37/64	43/160
M=6, N=3, p=1/3	1→2	1/3	19/27	0	4/27	-4/27	negative	19/27	17/45
M=6, N=3, p=1/3	2→3	1/3	5/9	2/45	2/9	-8/45	negative	19/27	17/45
M=6, N=3, p=2/5	1→2	2/5	98/125	0	18/125	-18/125	negative	98/125	292/625
M=6, N=3, p=2/5	2→3	2/5	16/25	42/625	6/25	-108/625	negative	98/125	292/625
M=6, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	3/5
M=6, N=3, p=1/2	2→3	1/2	3/4	1/10	1/4	-3/20	negative	7/8	3/5
M=6, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	4/5
M=6, N=3, p=2/3	2→3	2/3	8/9	2/15	2/9	-4/45	negative	26/27	4/5
M=6, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	141/160
M=6, N=3, p=3/4	2→3	3/4	15/16	21/160	3/16	-9/160	negative	63/64	141/160
M=6, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	17/18
M=6, N=3, p=5/6	2→3	5/6	35/36	1/9	5/36	-1/36	negative	215/216	17/18
M=6, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	612/625
M=6, N=3, p=9/10	2→3	9/10	99/100	99/1250	9/100	-27/2500	negative	999/1000	612/625
M=6, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	19893/20000
M=6, N=3, p=19/20	2→3	19/20	399/400	893/20000	19/400	-57/20000	negative	7999/8000	19893/20000
M=6, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=6, N=4, p=1/6	1→2	1/6	671/1296	0	125/1296	-125/1296	negative	671/1296	1/6
M=6, N=4, p=1/6	2→3	1/6	91/216	0	25/216	-25/216	negative	671/1296	1/6
M=6, N=4, p=1/6	3→4	1/6	11/36	0	5/36	-5/36	negative	671/1296	1/6
M=6, N=4, p=1/5	1→2	1/5	369/625	0	64/625	-64/625	negative	369/625	3353/15625
M=6, N=4, p=1/5	2→3	1/5	61/125	16/3125	16/125	-384/3125	negative	369/625	3353/15625
M=6, N=4, p=1/5	3→4	129/625	1141/3125	128/15625	496/3125	-2352/15625	negative	369/625	3353/15625
M=6, N=4, p=1/4	1→2	1/4	175/256	0	27/256	-27/256	negative	175/256	233/800
M=6, N=4, p=1/4	2→3	1/4	37/64	9/640	9/64	-81/640	negative	175/256	233/800
M=6, N=4, p=1/4	3→4	43/160	289/640	9/400	117/640	-513/3200	negative	175/256	233/800
M=6, N=4, p=1/3	1→2	1/3	65/81	0	8/81	-8/81	negative	65/81	287/675
M=6, N=4, p=1/3	2→3	1/3	19/27	4/135	4/27	-16/135	negative	65/81	287/675
M=6, N=4, p=1/3	3→4	17/45	79/135	32/675	28/135	-4/25	negative	65/81	287/675
M=6, N=4, p=2/5	1→2	2/5	544/625	0	54/625	-54/625	negative	544/625	8308/15625
M=6, N=4, p=2/5	2→3	2/5	98/125	126/3125	18/125	-324/3125	negative	544/625	8308/15625
M=6, N=4, p=2/5	3→4	292/625	2126/3125	1008/15625	666/3125	-2322/15625	negative	544/625	8308/15625
M=6, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	17/25
M=6, N=4, p=1/2	2→3	1/2	7/8	1/20	1/8	-3/40	negative	15/16	17/25
M=6, N=4, p=1/2	3→4	3/5	4/5	2/25	1/5	-3/25	negative	15/16	17/25
M=6, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	196/225
M=6, N=4, p=2/3	2→3	2/3	26/27	2/45	2/27	-4/135	negative	80/81	196/225
M=6, N=4, p=2/3	3→4	4/5	14/15	16/225	2/15	-14/225	negative	80/81	196/225
M=6, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	747/800
M=6, N=4, p=3/4	2→3	3/4	63/64	21/640	3/64	-9/640	negative	255/256	747/800
M=6, N=4, p=3/4	3→4	141/160	621/640	21/400	57/640	-117/3200	negative	255/256	747/800
M=6, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	263/270
M=6, N=4, p=5/6	2→3	5/6	215/216	1/54	5/216	-1/216	negative	1295/1296	263/270
M=6, N=4, p=5/6	3→4	17/18	107/108	4/135	5/108	-1/60	negative	1295/1296	263/270
M=6, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	15498/15625
M=6, N=4, p=9/10	2→3	9/10	999/1000	99/12500	9/1000	-27/25000	negative	9999/10000	15498/15625
M=6, N=4, p=9/10	3→4	612/625	6237/6250	198/15625	117/6250	-189/31250	negative	9999/10000	15498/15625
M=6, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	499111/500000
M=6, N=4, p=19/20	2→3	19/20	7999/8000	893/400000	19/8000	-57/400000	negative	159999/160000	499111/500000
M=6, N=4, p=19/20	3→4	19893/20000	399893/400000	893/250000	2033/400000	-3021/2000000	negative	159999/160000	499111/500000
M=6, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=6, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=6, N=5, p=1/6	1→2	1/6	4651/7776	0	625/7776	-625/7776	negative	4651/7776	1/6
M=6, N=5, p=1/6	2→3	1/6	671/1296	0	125/1296	-125/1296	negative	4651/7776	1/6
M=6, N=5, p=1/6	3→4	1/6	91/216	0	25/216	-25/216	negative	4651/7776	1/6
M=6, N=5, p=1/6	4→5	1/6	11/36	0	5/36	-5/36	negative	4651/7776	1/6
M=6, N=5, p=1/5	1→2	1/5	2101/3125	0	256/3125	-256/3125	negative	2101/3125	86369/390625
M=6, N=5, p=1/5	2→3	1/5	369/625	64/15625	64/625	-1536/15625	negative	2101/3125	86369/390625
M=6, N=5, p=1/5	3→4	129/625	7689/15625	512/78125	1984/15625	-9408/78125	negative	2101/3125	86369/390625
M=6, N=5, p=1/5	4→5	3353/15625	29037/78125	2544/390625	12272/78125	-58816/390625	negative	2101/3125	86369/390625
M=6, N=5, p=1/4	1→2	1/4	781/1024	0	81/1024	-81/1024	negative	781/1024	19747/64000
M=6, N=5, p=1/4	2→3	1/4	175/256	27/2560	27/256	-243/2560	negative	781/1024	19747/64000
M=6, N=5, p=1/4	3→4	43/160	1507/2560	27/1600	351/2560	-1539/12800	negative	781/1024	19747/64000
M=6, N=5, p=1/4	4→5	233/800	1499/3200	1107/64000	567/3200	-10233/64000	negative	781/1024	19747/64000
M=6, N=5, p=1/3	1→2	1/3	211/243	0	16/243	-16/243	negative	211/243	517/1125
M=6, N=5, p=1/3	2→3	1/3	65/81	8/405	8/81	-32/405	negative	211/243	517/1125
M=6, N=5, p=1/3	3→4	17/45	293/405	64/2025	56/405	-8/75	negative	211/243	517/1125
M=6, N=5, p=1/3	4→5	287/675	1249/2025	116/3375	388/2025	-1592/10125	negative	211/243	517/1125
M=6, N=5, p=2/5	1→2	2/5	2882/3125	0	162/3125	-162/3125	negative	2882/3125	225088/390625
M=6, N=5, p=2/5	2→3	2/5	544/625	378/15625	54/625	-972/15625	negative	2882/3125	225088/390625
M=6, N=5, p=2/5	3→4	292/625	12628/15625	3024/78125	1998/15625	-6966/78125	negative	2882/3125	225088/390625
M=6, N=5, p=2/5	4→5	8308/15625	56174/78125	17388/390625	14634/78125	-55782/390625	negative	2882/3125	225088/390625
M=6, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	731/1000
M=6, N=5, p=1/2	2→3	1/2	15/16	1/40	1/16	-3/80	negative	31/32	731/1000
M=6, N=5, p=1/2	3→4	3/5	9/10	1/25	1/10	-3/50	negative	31/32	731/1000
M=6, N=5, p=1/2	4→5	17/25	21/25	51/1000	4/25	-109/1000	negative	31/32	731/1000
M=6, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	1024/1125
M=6, N=5, p=2/3	2→3	2/3	80/81	2/135	2/81	-4/405	negative	242/243	1024/1125
M=6, N=5, p=2/3	3→4	4/5	44/45	16/675	2/45	-14/675	negative	242/243	1024/1125
M=6, N=5, p=2/3	4→5	196/225	646/675	44/1125	58/675	-158/3375	negative	242/243	1024/1125
M=6, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	61461/64000
M=6, N=5, p=3/4	2→3	3/4	255/256	21/2560	3/256	-9/2560	negative	1023/1024	61461/64000
M=6, N=5, p=3/4	3→4	141/160	2541/2560	21/1600	57/2560	-117/12800	negative	1023/1024	61461/64000
M=6, N=5, p=3/4	4→5	747/800	3147/3200	1701/64000	159/3200	-1479/64000	negative	1023/1024	61461/64000
M=6, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	889/900
M=6, N=5, p=5/6	2→3	5/6	1295/1296	1/324	5/1296	-1/1296	negative	7775/7776	889/900
M=6, N=5, p=5/6	3→4	17/18	647/648	2/405	5/648	-1/360	negative	7775/7776	889/900
M=6, N=5, p=5/6	4→5	263/270	1613/1620	37/2700	7/324	-16/2025	negative	7775/7776	889/900
M=6, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	3116529/3125000
M=6, N=5, p=9/10	2→3	9/10	9999/10000	99/125000	9/10000	-27/250000	negative	99999/100000	3116529/3125000
M=6, N=5, p=9/10	3→4	612/625	62487/62500	99/78125	117/62500	-189/312500	negative	99999/100000	3116529/3125000
M=6, N=5, p=9/10	4→5	15498/15625	156123/156250	16929/3125000	1143/156250	-5931/3125000	negative	99999/100000	3116529/3125000
M=6, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	199931053/200000000
M=6, N=5, p=19/20	2→3	19/20	159999/160000	893/8000000	19/160000	-57/8000000	negative	3199999/3200000	199931053/200000000
M=6, N=5, p=19/20	3→4	19893/20000	7999893/8000000	893/5000000	2033/8000000	-3021/40000000	negative	3199999/3200000	199931053/200000000
M=6, N=5, p=19/20	4→5	499111/500000	9999111/10000000	286653/200000000	16891/10000000	-51167/200000000	negative	3199999/3200000	199931053/200000000
M=6, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=6, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=6, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=6, N=6, p=1/6	1→2	1/6	31031/46656	0	3125/46656	-3125/46656	negative	31031/46656	1/6
M=6, N=6, p=1/6	2→3	1/6	4651/7776	0	625/7776	-625/7776	negative	31031/46656	1/6
M=6, N=6, p=1/6	3→4	1/6	671/1296	0	125/1296	-125/1296	negative	31031/46656	1/6
M=6, N=6, p=1/6	4→5	1/6	91/216	0	25/216	-25/216	negative	31031/46656	1/6
M=6, N=6, p=1/6	5→6	1/6	11/36	0	5/36	-5/36	negative	31031/46656	1/6
M=6, N=6, p=1/5	1→2	1/5	11529/15625	0	1024/15625	-1024/15625	negative	11529/15625	2203001/9765625
M=6, N=6, p=1/5	2→3	1/5	2101/3125	256/78125	256/3125	-6144/78125	negative	11529/15625	2203001/9765625
M=6, N=6, p=1/5	3→4	129/625	46381/78125	2048/390625	7936/78125	-37632/390625	negative	11529/15625	2203001/9765625
M=6, N=6, p=1/5	4→5	3353/15625	194273/390625	10176/1953125	49088/390625	-235264/1953125	negative	11529/15625	2203001/9765625
M=6, N=6, p=1/5	5→6	86369/390625	736101/1953125	43776/9765625	304256/1953125	-1477504/9765625	negative	11529/15625	2203001/9765625
M=6, N=6, p=1/4	1→2	1/4	3367/4096	0	243/4096	-243/4096	negative	3367/4096	6419/20000
M=6, N=6, p=1/4	2→3	1/4	781/1024	81/10240	81/1024	-729/10240	negative	3367/4096	6419/20000
M=6, N=6, p=1/4	3→4	43/160	7081/10240	81/6400	1053/10240	-4617/51200	negative	3367/4096	6419/20000
M=6, N=6, p=1/4	4→5	233/800	7697/12800	3321/256000	1701/12800	-30699/256000	negative	3367/4096	6419/20000
M=6, N=6, p=1/4	5→6	19747/64000	123241/256000	3969/320000	44253/256000	-205389/1280000	negative	3367/4096	6419/20000
M=6, N=6, p=1/3	1→2	1/3	665/729	0	32/729	-32/729	negative	665/729	24577/50625
M=6, N=6, p=1/3	2→3	1/3	211/243	16/1215	16/243	-64/1215	negative	665/729	24577/50625
M=6, N=6, p=1/3	3→4	17/45	991/1215	128/6075	112/1215	-16/225	negative	665/729	24577/50625
M=6, N=6, p=1/3	4→5	287/675	4523/6075	232/10125	776/6075	-3184/30375	negative	665/729	24577/50625
M=6, N=6, p=1/3	5→6	517/1125	2159/3375	1312/50625	608/3375	-7808/50625	negative	665/729	24577/50625
M=6, N=6, p=2/5	1→2	2/5	14896/15625	0	486/15625	-486/15625	negative	14896/15625	5962864/9765625
M=6, N=6, p=2/5	2→3	2/5	2882/3125	1134/78125	162/3125	-2916/78125	negative	14896/15625	5962864/9765625
M=6, N=6, p=2/5	3→4	292/625	69134/78125	9072/390625	5994/78125	-20898/390625	negative	14896/15625	5962864/9765625
M=6, N=6, p=2/5	4→5	8308/15625	324772/390625	52164/1953125	43902/390625	-167346/1953125	negative	14896/15625	5962864/9765625
M=6, N=6, p=2/5	5→6	225088/390625	1456514/1953125	335664/9765625	331074/1953125	-1319706/9765625	negative	14896/15625	5962864/9765625
M=6, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	3853/5000
M=6, N=6, p=1/2	2→3	1/2	31/32	1/80	1/32	-3/160	negative	63/64	3853/5000
M=6, N=6, p=1/2	3→4	3/5	19/20	1/50	1/20	-3/100	negative	63/64	3853/5000
M=6, N=6, p=1/2	4→5	17/25	23/25	51/2000	2/25	-109/2000	negative	63/64	3853/5000
M=6, N=6, p=1/2	5→6	731/1000	1731/2000	99/2500	269/2000	-949/10000	negative	63/64	3853/5000
M=6, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	15824/16875
M=6, N=6, p=2/3	2→3	2/3	242/243	2/405	2/243	-4/1215	negative	728/729	15824/16875
M=6, N=6, p=2/3	3→4	4/5	134/135	16/2025	2/135	-14/2025	negative	728/729	15824/16875
M=6, N=6, p=2/3	4→5	196/225	1996/2025	44/3375	58/2025	-158/10125	negative	728/729	15824/16875
M=6, N=6, p=2/3	5→6	1024/1125	3274/3375	464/16875	202/3375	-182/5625	negative	728/729	15824/16875
M=6, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	156267/160000
M=6, N=6, p=3/4	2→3	3/4	1023/1024	21/10240	3/1024	-9/10240	negative	4095/4096	156267/160000
M=6, N=6, p=3/4	3→4	141/160	10221/10240	21/6400	57/10240	-117/51200	negative	4095/4096	156267/160000
M=6, N=6, p=3/4	4→5	747/800	12747/12800	1701/256000	159/12800	-1479/256000	negative	4095/4096	156267/160000
M=6, N=6, p=3/4	5→6	61461/64000	253461/256000	5229/320000	7617/256000	-17169/1280000	negative	4095/4096	156267/160000
M=6, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	40271/40500
M=6, N=6, p=5/6	2→3	5/6	7775/7776	1/1944	5/7776	-1/7776	negative	46655/46656	40271/40500
M=6, N=6, p=5/6	3→4	17/18	3887/3888	1/1215	5/3888	-1/2160	negative	46655/46656	40271/40500
M=6, N=6, p=5/6	4→5	263/270	9713/9720	37/16200	7/1944	-8/6075	negative	46655/46656	40271/40500
M=6, N=6, p=5/6	5→6	889/900	5389/5400	133/20250	11/1080	-293/81000	negative	46655/46656	40271/40500
M=6, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	78051627/78125000
M=6, N=6, p=9/10	2→3	9/10	99999/100000	99/1250000	9/100000	-27/2500000	negative	999999/1000000	78051627/78125000
M=6, N=6, p=9/10	3→4	612/625	624987/625000	99/781250	117/625000	-189/3125000	negative	999999/1000000	78051627/78125000
M=6, N=6, p=9/10	4→5	15498/15625	1562373/1562500	16929/31250000	1143/1562500	-5931/31250000	negative	999999/1000000	78051627/78125000
M=6, N=6, p=9/10	5→6	3116529/3125000	31241529/31250000	69201/39062500	76239/31250000	-104391/156250000	negative	999999/1000000	78051627/78125000
M=6, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	2499785141/2500000000
M=6, N=6, p=19/20	2→3	19/20	3199999/3200000	893/160000000	19/3200000	-57/160000000	negative	63999999/64000000	2499785141/2500000000
M=6, N=6, p=19/20	3→4	19893/20000	159999893/160000000	893/100000000	2033/160000000	-3021/800000000	negative	63999999/64000000	2499785141/2500000000
M=6, N=6, p=19/20	4→5	499111/500000	199999111/200000000	286653/4000000000	16891/200000000	-51167/4000000000	negative	63999999/64000000	2499785141/2500000000
M=6, N=6, p=19/20	5→6	199931053/200000000	3999931053/4000000000	1293957/5000000000	1309993/4000000000	-1374137/20000000000	negative	63999999/64000000	2499785141/2500000000
M=6, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=6, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=6, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=6, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=6, N=7, p=1/6	1→2	1/6	201811/279936	0	15625/279936	-15625/279936	negative	201811/279936	1/6
M=6, N=7, p=1/6	2→3	1/6	31031/46656	0	3125/46656	-3125/46656	negative	201811/279936	1/6
M=6, N=7, p=1/6	3→4	1/6	4651/7776	0	625/7776	-625/7776	negative	201811/279936	1/6
M=6, N=7, p=1/6	4→5	1/6	671/1296	0	125/1296	-125/1296	negative	201811/279936	1/6
M=6, N=7, p=1/6	5→6	1/6	91/216	0	25/216	-25/216	negative	201811/279936	1/6
M=6, N=7, p=1/6	6→7	1/6	11/36	0	5/36	-5/36	negative	201811/279936	1/6
M=6, N=7, p=1/5	1→2	1/5	61741/78125	0	4096/78125	-4096/78125	negative	61741/78125	11211741/48828125
M=6, N=7, p=1/5	2→3	1/5	11529/15625	1024/390625	1024/15625	-24576/390625	negative	61741/78125	11211741/48828125
M=6, N=7, p=1/5	3→4	129/625	263649/390625	8192/1953125	31744/390625	-150528/1953125	negative	61741/78125	11211741/48828125
M=6, N=7, p=1/5	4→5	3353/15625	1167717/1953125	40704/9765625	196352/1953125	-941056/9765625	negative	61741/78125	11211741/48828125
M=6, N=7, p=1/5	5→6	86369/390625	4897529/9765625	175104/48828125	1217024/9765625	-5910016/48828125	negative	61741/78125	11211741/48828125
M=6, N=7, p=1/5	6→7	2203001/9765625	18577629/48828125	196736/48828125	7562624/48828125	-7365888/48828125	negative	61741/78125	11211741/48828125
M=6, N=7, p=1/4	1→2	1/4	14197/16384	0	729/16384	-729/16384	negative	14197/16384	851953/2560000
M=6, N=7, p=1/4	2→3	1/4	3367/4096	243/40960	243/4096	-2187/40960	negative	14197/16384	851953/2560000
M=6, N=7, p=1/4	3→4	43/160	31483/40960	243/25600	3159/40960	-13851/204800	negative	14197/16384	851953/2560000
M=6, N=7, p=1/4	4→5	233/800	35891/51200	9963/1024000	5103/51200	-92097/1024000	negative	14197/16384	851953/2560000
M=6, N=7, p=1/4	5→6	19747/64000	625723/1024000	11907/1280000	132759/1024000	-616167/5120000	negative	14197/16384	851953/2560000
M=6, N=7, p=1/4	6→7	6419/20000	39257/80000	30321/2560000	13581/80000	-404271/2560000	negative	14197/16384	851953/2560000
M=6, N=7, p=1/3	1→2	1/3	2059/2187	0	64/2187	-64/2187	negative	2059/2187	232921/455625
M=6, N=7, p=1/3	2→3	1/3	665/729	32/3645	32/729	-128/3645	negative	2059/2187	232921/455625
M=6, N=7, p=1/3	3→4	17/45	3197/3645	256/18225	224/3645	-32/675	negative	2059/2187	232921/455625
M=6, N=7, p=1/3	4→5	287/675	15121/18225	464/30375	1552/18225	-6368/91125	negative	2059/2187	232921/455625
M=6, N=7, p=1/3	5→6	517/1125	7693/10125	2624/151875	1216/10125	-15616/151875	negative	2059/2187	232921/455625
M=6, N=7, p=1/3	6→7	24577/50625	99779/151875	11728/455625	26048/151875	-66416/455625	negative	2059/2187	232921/455625
M=6, N=7, p=2/5	1→2	2/5	75938/78125	0	1458/78125	-1458/78125	negative	75938/78125	31468448/48828125
M=6, N=7, p=2/5	2→3	2/5	14896/15625	3402/390625	486/15625	-8748/390625	negative	75938/78125	31468448/48828125
M=6, N=7, p=2/5	3→4	292/625	363652/390625	27216/1953125	17982/390625	-62694/1953125	negative	75938/78125	31468448/48828125
M=6, N=7, p=2/5	4→5	8308/15625	1755566/1953125	156492/9765625	131706/1953125	-502038/9765625	negative	75938/78125	31468448/48828125
M=6, N=7, p=2/5	5→6	225088/390625	8275792/9765625	1006992/48828125	993222/9765625	-3959118/48828125	negative	75938/78125	31468448/48828125
M=6, N=7, p=2/5	6→7	5962864/9765625	37419842/48828125	1654128/48828125	7605522/48828125	-5951394/48828125	negative	75938/78125	31468448/48828125
M=6, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	8073/10000
M=6, N=7, p=1/2	2→3	1/2	63/64	1/160	1/64	-3/320	negative	127/128	8073/10000
M=6, N=7, p=1/2	3→4	3/5	39/40	1/100	1/40	-3/200	negative	127/128	8073/10000
M=6, N=7, p=1/2	4→5	17/25	24/25	51/4000	1/25	-109/4000	negative	127/128	8073/10000
M=6, N=7, p=1/2	5→6	731/1000	3731/4000	99/5000	269/4000	-949/20000	negative	127/128	8073/10000
M=6, N=7, p=1/2	6→7	3853/5000	8853/10000	367/10000	1147/10000	-39/500	negative	127/128	8073/10000
M=6, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	145504/151875
M=6, N=7, p=2/3	2→3	2/3	728/729	2/1215	2/729	-4/3645	negative	2186/2187	145504/151875
M=6, N=7, p=2/3	3→4	4/5	404/405	16/6075	2/405	-14/6075	negative	2186/2187	145504/151875
M=6, N=7, p=2/3	4→5	196/225	6046/6075	44/10125	58/6075	-158/30375	negative	2186/2187	145504/151875
M=6, N=7, p=2/3	5→6	1024/1125	10024/10125	464/50625	202/10125	-182/16875	negative	2186/2187	145504/151875
M=6, N=7, p=2/3	6→7	15824/16875	49574/50625	3088/151875	2102/50625	-3218/151875	negative	2186/2187	145504/151875
M=6, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	2526039/2560000
M=6, N=7, p=3/4	2→3	3/4	4095/4096	21/40960	3/4096	-9/40960	negative	16383/16384	2526039/2560000
M=6, N=7, p=3/4	3→4	141/160	40941/40960	21/25600	57/40960	-117/204800	negative	16383/16384	2526039/2560000
M=6, N=7, p=3/4	4→5	747/800	51147/51200	1701/1024000	159/51200	-1479/1024000	negative	16383/16384	2526039/2560000
M=6, N=7, p=3/4	5→6	61461/64000	1021461/1024000	5229/1280000	7617/1024000	-17169/5120000	negative	16383/16384	2526039/2560000
M=6, N=7, p=3/4	6→7	156267/160000	636267/640000	25767/2560000	11199/640000	-19029/2560000	negative	16383/16384	2526039/2560000
M=6, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	145433/145800
M=6, N=7, p=5/6	2→3	5/6	46655/46656	1/11664	5/46656	-1/46656	negative	279935/279936	145433/145800
M=6, N=7, p=5/6	3→4	17/18	23327/23328	1/7290	5/23328	-1/12960	negative	279935/279936	145433/145800
M=6, N=7, p=5/6	4→5	263/270	58313/58320	37/97200	7/11664	-4/18225	negative	279935/279936	145433/145800
M=6, N=7, p=5/6	5→6	889/900	32389/32400	133/121500	11/6480	-293/486000	negative	279935/279936	145433/145800
M=6, N=7, p=5/6	6→7	40271/40500	242771/243000	2287/729000	229/48600	-287/182250	negative	279935/279936	145433/145800
M=6, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	781011963/781250000
M=6, N=7, p=9/10	2→3	9/10	999999/1000000	99/12500000	9/1000000	-27/25000000	negative	9999999/10000000	781011963/781250000
M=6, N=7, p=9/10	3→4	612/625	6249987/6250000	99/7812500	117/6250000	-189/31250000	negative	9999999/10000000	781011963/781250000
M=6, N=7, p=9/10	4→5	15498/15625	15624873/15625000	16929/312500000	1143/15625000	-5931/312500000	negative	9999999/10000000	781011963/781250000
M=6, N=7, p=9/10	5→6	3116529/3125000	312491529/312500000	69201/390625000	76239/312500000	-104391/1562500000	negative	9999999/10000000	781011963/781250000
M=6, N=7, p=9/10	6→7	78051627/78125000	781176627/781250000	495693/781250000	660357/781250000	-20583/97656250	negative	9999999/10000000	781011963/781250000
M=6, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	199996480431/200000000000
M=6, N=7, p=19/20	2→3	19/20	63999999/64000000	893/3200000000	19/64000000	-57/3200000000	negative	1279999999/1280000000	199996480431/200000000000
M=6, N=7, p=19/20	3→4	19893/20000	3199999893/3200000000	893/2000000000	2033/3200000000	-3021/16000000000	negative	1279999999/1280000000	199996480431/200000000000
M=6, N=7, p=19/20	4→5	499111/500000	3999999111/4000000000	286653/80000000000	16891/4000000000	-51167/80000000000	negative	1279999999/1280000000	199996480431/200000000000
M=6, N=7, p=19/20	5→6	199931053/200000000	79999931053/80000000000	1293957/100000000000	1309993/80000000000	-1374137/400000000000	negative	1279999999/1280000000	199996480431/200000000000
M=6, N=7, p=19/20	6→7	2499785141/2500000000	49999785141/50000000000	13669151/200000000000	4082321/50000000000	-2660133/200000000000	negative	1279999999/1280000000	199996480431/200000000000
M=6, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=6, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=6, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=6, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=6, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=6, N=8, p=1/6	1→2	1/6	1288991/1679616	0	78125/1679616	-78125/1679616	negative	1288991/1679616	1/6
M=6, N=8, p=1/6	2→3	1/6	201811/279936	0	15625/279936	-15625/279936	negative	1288991/1679616	1/6
M=6, N=8, p=1/6	3→4	1/6	31031/46656	0	3125/46656	-3125/46656	negative	1288991/1679616	1/6
M=6, N=8, p=1/6	4→5	1/6	4651/7776	0	625/7776	-625/7776	negative	1288991/1679616	1/6
M=6, N=8, p=1/6	5→6	1/6	671/1296	0	125/1296	-125/1296	negative	1288991/1679616	1/6
M=6, N=8, p=1/6	6→7	1/6	91/216	0	25/216	-25/216	negative	1288991/1679616	1/6
M=6, N=8, p=1/6	7→8	1/6	11/36	0	5/36	-5/36	negative	1288991/1679616	1/6
M=6, N=8, p=1/5	1→2	1/5	325089/390625	0	16384/390625	-16384/390625	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/5	2→3	1/5	61741/78125	4096/1953125	4096/78125	-98304/1953125	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/5	3→4	129/625	1445221/1953125	32768/9765625	126976/1953125	-602112/9765625	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/5	4→5	3353/15625	6623993/9765625	162816/48828125	785408/9765625	-3764224/48828125	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/5	5→6	86369/390625	29355741/48828125	700416/244140625	4868096/48828125	-23640064/244140625	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/5	6→7	2203001/9765625	123138641/244140625	786944/244140625	30250496/244140625	-29463552/244140625	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/5	7→8	11211741/48828125	93675089/244140625	1103872/244140625	37616384/244140625	-36512512/244140625	negative	325089/390625	57162577/244140625
M=6, N=8, p=1/4	1→2	1/4	58975/65536	0	2187/65536	-2187/65536	negative	58975/65536	442703/1280000
M=6, N=8, p=1/4	2→3	1/4	14197/16384	729/163840	729/16384	-6561/163840	negative	58975/65536	442703/1280000
M=6, N=8, p=1/4	3→4	43/160	135409/163840	729/102400	9477/163840	-41553/819200	negative	58975/65536	442703/1280000
M=6, N=8, p=1/4	4→5	233/800	158873/204800	29889/4096000	15309/204800	-276291/4096000	negative	58975/65536	442703/1280000
M=6, N=8, p=1/4	5→6	19747/64000	2901169/4096000	35721/5120000	398277/4096000	-1848501/20480000	negative	58975/65536	442703/1280000
M=6, N=8, p=1/4	6→7	6419/20000	197771/320000	90963/10240000	40743/320000	-1212813/10240000	negative	58975/65536	442703/1280000
M=6, N=8, p=1/4	7→8	851953/2560000	5115859/10240000	33453/2560000	1708047/10240000	-314847/2048000	negative	58975/65536	442703/1280000
M=6, N=8, p=1/3	1→2	1/3	6305/6561	0	128/6561	-128/6561	negative	6305/6561	735499/1366875
M=6, N=8, p=1/3	2→3	1/3	2059/2187	64/10935	64/2187	-256/10935	negative	6305/6561	735499/1366875
M=6, N=8, p=1/3	3→4	17/45	10039/10935	512/54675	448/10935	-64/2025	negative	6305/6561	735499/1366875
M=6, N=8, p=1/3	4→5	287/675	48467/54675	928/91125	3104/54675	-12736/273375	negative	6305/6561	735499/1366875
M=6, N=8, p=1/3	5→6	517/1125	25511/30375	5248/455625	2432/30375	-31232/455625	negative	6305/6561	735499/1366875
M=6, N=8, p=1/3	6→7	24577/50625	351433/455625	23456/1366875	52096/455625	-132832/1366875	negative	6305/6561	735499/1366875
M=6, N=8, p=1/3	7→8	232921/455625	921467/1366875	36736/1366875	222704/1366875	-185968/1366875	negative	6305/6561	735499/1366875
M=6, N=8, p=2/5	1→2	2/5	384064/390625	0	4374/390625	-4374/390625	negative	384064/390625	165470752/244140625
M=6, N=8, p=2/5	2→3	2/5	75938/78125	10206/1953125	1458/78125	-26244/1953125	negative	384064/390625	165470752/244140625
M=6, N=8, p=2/5	3→4	292/625	1872206/1953125	81648/9765625	53946/1953125	-188082/9765625	negative	384064/390625	165470752/244140625
M=6, N=8, p=2/5	4→5	8308/15625	9172948/9765625	469476/48828125	395118/9765625	-1506114/48828125	negative	384064/390625	165470752/244140625
M=6, N=8, p=2/5	5→6	225088/390625	44358626/48828125	3020976/244140625	2979666/48828125	-11877354/244140625	negative	384064/390625	165470752/244140625
M=6, N=8, p=2/5	6→7	5962864/9765625	209915776/244140625	4962384/244140625	22816566/244140625	-17854182/244140625	negative	384064/390625	165470752/244140625
M=6, N=8, p=2/5	7→8	31468448/48828125	192061594/244140625	8128512/244140625	34719354/244140625	-26590842/244140625	negative	384064/390625	165470752/244140625
M=6, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	1679/2000
M=6, N=8, p=1/2	2→3	1/2	127/128	1/320	1/128	-3/640	negative	255/256	1679/2000
M=6, N=8, p=1/2	3→4	3/5	79/80	1/200	1/80	-3/400	negative	255/256	1679/2000
M=6, N=8, p=1/2	4→5	17/25	49/50	51/8000	1/50	-109/8000	negative	255/256	1679/2000
M=6, N=8, p=1/2	5→6	731/1000	7731/8000	99/10000	269/8000	-949/40000	negative	255/256	1679/2000
M=6, N=8, p=1/2	6→7	3853/5000	18853/20000	367/20000	1147/20000	-39/1000	negative	255/256	1679/2000
M=6, N=8, p=1/2	7→8	8073/10000	18073/20000	161/5000	1927/20000	-1283/20000	negative	255/256	1679/2000
M=6, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	442784/455625
M=6, N=8, p=2/3	2→3	2/3	2186/2187	2/3645	2/2187	-4/10935	negative	6560/6561	442784/455625
M=6, N=8, p=2/3	3→4	4/5	1214/1215	16/18225	2/1215	-14/18225	negative	6560/6561	442784/455625
M=6, N=8, p=2/3	4→5	196/225	18196/18225	44/30375	58/18225	-158/91125	negative	6560/6561	442784/455625
M=6, N=8, p=2/3	5→6	1024/1125	30274/30375	464/151875	202/30375	-182/50625	negative	6560/6561	442784/455625
M=6, N=8, p=2/3	6→7	15824/16875	150824/151875	3088/455625	2102/151875	-3218/455625	negative	6560/6561	442784/455625
M=6, N=8, p=2/3	7→8	145504/151875	449254/455625	6272/455625	12742/455625	-1294/91125	negative	6560/6561	442784/455625
M=6, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	158787/160000
M=6, N=8, p=3/4	2→3	3/4	16383/16384	21/163840	3/16384	-9/163840	negative	65535/65536	158787/160000
M=6, N=8, p=3/4	3→4	141/160	163821/163840	21/102400	57/163840	-117/819200	negative	65535/65536	158787/160000
M=6, N=8, p=3/4	4→5	747/800	204747/204800	1701/4096000	159/204800	-1479/4096000	negative	65535/65536	158787/160000
M=6, N=8, p=3/4	5→6	61461/64000	4093461/4096000	5229/5120000	7617/4096000	-17169/20480000	negative	65535/65536	158787/160000
M=6, N=8, p=3/4	6→7	156267/160000	2556267/2560000	25767/10240000	11199/2560000	-19029/10240000	negative	65535/65536	158787/160000
M=6, N=8, p=3/4	7→8	2526039/2560000	10206039/10240000	14553/2560000	101883/10240000	-43671/10240000	negative	65535/65536	158787/160000
M=6, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	436901/437400
M=6, N=8, p=5/6	2→3	5/6	279935/279936	1/69984	5/279936	-1/279936	negative	1679615/1679616	436901/437400
M=6, N=8, p=5/6	3→4	17/18	139967/139968	1/43740	5/139968	-1/77760	negative	1679615/1679616	436901/437400
M=6, N=8, p=5/6	4→5	263/270	349913/349920	37/583200	7/69984	-2/54675	negative	1679615/1679616	436901/437400
M=6, N=8, p=5/6	5→6	889/900	194389/194400	133/729000	11/38880	-293/2916000	negative	1679615/1679616	436901/437400
M=6, N=8, p=5/6	6→7	40271/40500	1457771/1458000	2287/4374000	229/291600	-287/1093500	negative	1679615/1679616	436901/437400
M=6, N=8, p=5/6	7→8	145433/145800	874433/874800	301/218700	367/174960	-631/874800	negative	1679615/1679616	436901/437400
M=6, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=9/10	2→3	9/10	9999999/10000000	99/125000000	9/10000000	-27/250000000	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=9/10	3→4	612/625	62499987/62500000	99/78125000	117/62500000	-189/312500000	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=9/10	4→5	15498/15625	156249873/156250000	16929/3125000000	1143/156250000	-5931/3125000000	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=9/10	5→6	3116529/3125000	3124991529/3125000000	69201/3906250000	76239/3125000000	-104391/15625000000	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=9/10	6→7	78051627/78125000	7812426627/7812500000	495693/7812500000	660357/7812500000	-20583/976562500	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=9/10	7→8	781011963/781250000	7812261963/7812500000	392931/1953125000	2142333/7812500000	-570609/7812500000	negative	99999999/100000000	3905845677/3906250000
M=6, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=19/20	2→3	19/20	1279999999/1280000000	893/64000000000	19/1280000000	-57/64000000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=19/20	3→4	19893/20000	63999999893/64000000000	893/40000000000	2033/64000000000	-3021/320000000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=19/20	4→5	499111/500000	79999999111/80000000000	286653/1600000000000	16891/80000000000	-51167/1600000000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=19/20	5→6	199931053/200000000	1599999931053/1600000000000	1293957/2000000000000	1309993/1600000000000	-1374137/8000000000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=19/20	6→7	2499785141/2500000000	999999785141/1000000000000	13669151/4000000000000	4082321/1000000000000	-2660133/4000000000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=19/20	7→8	199996480431/200000000000	3999996480431/4000000000000	13420897/1000000000000	66871811/4000000000000	-13188223/4000000000000	negative	25599999999/25600000000	249998955763/250000000000
M=6, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=6, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=6, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=6, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=6, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=6, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=6, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
M=7, N=2, p=1/7	1→2	1/7	13/49	0	6/49	-6/49	negative	13/49	1/7
M=7, N=2, p=1/5	1→2	1/5	9/25	0	4/25	-4/25	negative	9/25	1/5
M=7, N=2, p=1/4	1→2	1/4	7/16	0	3/16	-3/16	negative	7/16	1/4
M=7, N=2, p=1/3	1→2	1/3	5/9	0	2/9	-2/9	negative	5/9	1/3
M=7, N=2, p=2/5	1→2	2/5	16/25	0	6/25	-6/25	negative	16/25	2/5
M=7, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=7, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=7, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=7, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=7, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=7, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=7, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=3, p=1/7	1→2	1/7	127/343	0	36/343	-36/343	negative	127/343	1/7
M=7, N=3, p=1/7	2→3	1/7	13/49	0	6/49	-6/49	negative	127/343	1/7
M=7, N=3, p=1/5	1→2	1/5	61/125	0	16/125	-16/125	negative	61/125	79/375
M=7, N=3, p=1/5	2→3	1/5	9/25	4/375	4/25	-56/375	negative	61/125	79/375
M=7, N=3, p=1/4	1→2	1/4	37/64	0	9/64	-9/64	negative	37/64	35/128
M=7, N=3, p=1/4	2→3	1/4	7/16	3/128	3/16	-21/128	negative	37/64	35/128
M=7, N=3, p=1/3	1→2	1/3	19/27	0	4/27	-4/27	negative	19/27	31/81
M=7, N=3, p=1/3	2→3	1/3	5/9	4/81	2/9	-14/81	negative	19/27	31/81
M=7, N=3, p=2/5	1→2	2/5	98/125	0	18/125	-18/125	negative	98/125	59/125
M=7, N=3, p=2/5	2→3	2/5	16/25	9/125	6/25	-21/125	negative	98/125	59/125
M=7, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	29/48
M=7, N=3, p=1/2	2→3	1/2	3/4	5/48	1/4	-7/48	negative	7/8	29/48
M=7, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	65/81
M=7, N=3, p=2/3	2→3	2/3	8/9	11/81	2/9	-7/81	negative	26/27	65/81
M=7, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	113/128
M=7, N=3, p=3/4	2→3	3/4	15/16	17/128	3/16	-7/128	negative	63/64	113/128
M=7, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	1225/1296
M=7, N=3, p=5/6	2→3	5/6	35/36	145/1296	5/36	-35/1296	negative	215/216	1225/1296
M=7, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	1959/2000
M=7, N=3, p=9/10	2→3	9/10	99/100	159/2000	9/100	-21/2000	negative	999/1000	1959/2000
M=7, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	47747/48000
M=7, N=3, p=19/20	2→3	19/20	399/400	2147/48000	19/400	-133/48000	negative	7999/8000	47747/48000
M=7, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=7, N=4, p=1/7	1→2	1/7	1105/2401	0	216/2401	-216/2401	negative	1105/2401	1/7
M=7, N=4, p=1/7	2→3	1/7	127/343	0	36/343	-36/343	negative	1105/2401	1/7
M=7, N=4, p=1/7	3→4	1/7	13/49	0	6/49	-6/49	negative	1105/2401	1/7
M=7, N=4, p=1/5	1→2	1/5	369/625	0	64/625	-64/625	negative	369/625	253/1125
M=7, N=4, p=1/5	2→3	1/5	61/125	16/1875	16/125	-224/1875	negative	369/625	253/1125
M=7, N=4, p=1/5	3→4	79/375	691/1875	16/1125	296/1875	-808/5625	negative	369/625	253/1125
M=7, N=4, p=1/4	1→2	1/4	175/256	0	27/256	-27/256	negative	175/256	155/512
M=7, N=4, p=1/4	2→3	1/4	37/64	9/512	9/64	-63/512	negative	175/256	155/512
M=7, N=4, p=1/4	3→4	35/128	233/512	15/512	93/512	-39/256	negative	175/256	155/512
M=7, N=4, p=1/3	1→2	1/3	65/81	0	8/81	-8/81	negative	65/81	319/729
M=7, N=4, p=1/3	2→3	1/3	19/27	8/243	4/27	-28/243	negative	65/81	319/729
M=7, N=4, p=1/3	3→4	31/81	143/243	40/729	50/243	-110/729	negative	65/81	319/729
M=7, N=4, p=2/5	1→2	2/5	544/625	0	54/625	-54/625	negative	544/625	68/125
M=7, N=4, p=2/5	2→3	2/5	98/125	27/625	18/125	-63/625	negative	544/625	68/125
M=7, N=4, p=2/5	3→4	59/125	427/625	9/125	132/625	-87/625	negative	544/625	68/125
M=7, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	199/288
M=7, N=4, p=1/2	2→3	1/2	7/8	5/96	1/8	-7/96	negative	15/16	199/288
M=7, N=4, p=1/2	3→4	29/48	77/96	25/288	19/96	-1/9	negative	15/16	199/288
M=7, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	640/729
M=7, N=4, p=2/3	2→3	2/3	26/27	11/243	2/27	-7/243	negative	80/81	640/729
M=7, N=4, p=2/3	3→4	65/81	227/243	55/729	32/243	-41/729	negative	80/81	640/729
M=7, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	1441/1536
M=7, N=4, p=3/4	2→3	3/4	63/64	17/512	3/64	-7/512	negative	255/256	1441/1536
M=7, N=4, p=3/4	3→4	113/128	497/512	85/1536	45/512	-25/768	negative	255/256	1441/1536
M=7, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	22775/23328
M=7, N=4, p=5/6	2→3	5/6	215/216	145/7776	5/216	-35/7776	negative	1295/1296	22775/23328
M=7, N=4, p=5/6	3→4	1225/1296	7705/7776	725/23328	355/7776	-85/5832	negative	1295/1296	22775/23328
M=7, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	3971/4000
M=7, N=4, p=9/10	2→3	9/10	999/1000	159/20000	9/1000	-21/20000	negative	9999/10000	3971/4000
M=7, N=4, p=9/10	3→4	1959/2000	19959/20000	53/4000	369/20000	-13/2500	negative	9999/10000	3971/4000
M=7, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	575111/576000
M=7, N=4, p=19/20	2→3	19/20	7999/8000	2147/960000	19/8000	-133/960000	negative	159999/160000	575111/576000
M=7, N=4, p=19/20	3→4	47747/48000	959747/960000	2147/576000	4807/960000	-1843/1440000	negative	159999/160000	575111/576000
M=7, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=7, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=7, N=5, p=1/7	1→2	1/7	9031/16807	0	1296/16807	-1296/16807	negative	9031/16807	1/7
M=7, N=5, p=1/7	2→3	1/7	1105/2401	0	216/2401	-216/2401	negative	9031/16807	1/7
M=7, N=5, p=1/7	3→4	1/7	127/343	0	36/343	-36/343	negative	9031/16807	1/7
M=7, N=5, p=1/7	4→5	1/7	13/49	0	6/49	-6/49	negative	9031/16807	1/7
M=7, N=5, p=1/5	1→2	1/5	2101/3125	0	256/3125	-256/3125	negative	2101/3125	741/3125
M=7, N=5, p=1/5	2→3	1/5	369/625	64/9375	64/625	-896/9375	negative	2101/3125	741/3125
M=7, N=5, p=1/5	3→4	79/375	4639/9375	64/5625	1184/9375	-3232/28125	negative	2101/3125	741/3125
M=7, N=5, p=1/5	4→5	253/1125	2137/5625	344/28125	872/5625	-4016/28125	negative	2101/3125	741/3125
M=7, N=5, p=1/4	1→2	1/4	781/1024	0	81/1024	-81/1024	negative	781/1024	1339/4096
M=7, N=5, p=1/4	2→3	1/4	175/256	27/2048	27/256	-189/2048	negative	781/1024	1339/4096
M=7, N=5, p=1/4	3→4	35/128	1211/2048	45/2048	279/2048	-117/1024	negative	781/1024	1339/4096
M=7, N=5, p=1/4	4→5	155/512	977/2048	99/4096	357/2048	-615/4096	negative	781/1024	1339/4096
M=7, N=5, p=1/3	1→2	1/3	211/243	0	16/243	-16/243	negative	211/243	1049/2187
M=7, N=5, p=1/3	2→3	1/3	65/81	16/729	8/81	-56/729	negative	211/243	1049/2187
M=7, N=5, p=1/3	3→4	31/81	529/729	80/2187	100/729	-220/2187	negative	211/243	1049/2187
M=7, N=5, p=1/3	4→5	319/729	1367/2187	92/2187	410/2187	-106/729	negative	211/243	1049/2187
M=7, N=5, p=2/5	1→2	2/5	2882/3125	0	162/3125	-162/3125	negative	2882/3125	1862/3125
M=7, N=5, p=2/5	2→3	2/5	544/625	81/3125	54/625	-189/3125	negative	2882/3125	1862/3125
M=7, N=5, p=2/5	3→4	59/125	2531/3125	27/625	396/3125	-261/3125	negative	2882/3125	1862/3125
M=7, N=5, p=2/5	4→5	68/125	454/625	162/3125	114/625	-408/3125	negative	2882/3125	1862/3125
M=7, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	287/384
M=7, N=5, p=1/2	2→3	1/2	15/16	5/192	1/16	-7/192	negative	31/32	287/384
M=7, N=5, p=1/2	3→4	29/48	173/192	25/576	19/192	-1/18	negative	31/32	287/384
M=7, N=5, p=1/2	4→5	199/288	487/576	65/1152	89/576	-113/1152	negative	31/32	287/384
M=7, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	2008/2187
M=7, N=5, p=2/3	2→3	2/3	80/81	11/729	2/81	-7/729	negative	242/243	2008/2187
M=7, N=5, p=2/3	3→4	65/81	713/729	55/2187	32/729	-41/2187	negative	242/243	2008/2187
M=7, N=5, p=2/3	4→5	640/729	2098/2187	88/2187	178/2187	-10/243	negative	242/243	2008/2187
M=7, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	11851/12288
M=7, N=5, p=3/4	2→3	3/4	255/256	17/2048	3/256	-7/2048	negative	1023/1024	11851/12288
M=7, N=5, p=3/4	3→4	113/128	2033/2048	85/6144	45/2048	-25/3072	negative	1023/1024	11851/12288
M=7, N=5, p=3/4	4→5	1441/1536	6049/6144	323/12288	95/2048	-247/12288	negative	1023/1024	11851/12288
M=7, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	276925/279936
M=7, N=5, p=5/6	2→3	5/6	1295/1296	145/46656	5/1296	-35/46656	negative	7775/7776	276925/279936
M=7, N=5, p=5/6	3→4	1225/1296	46585/46656	725/139968	355/46656	-85/34992	negative	7775/7776	276925/279936
M=7, N=5, p=5/6	4→5	22775/23328	139415/139968	3625/279936	2765/139968	-635/93312	negative	7775/7776	276925/279936
M=7, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	399061/400000
M=7, N=5, p=9/10	2→3	9/10	9999/10000	159/200000	9/10000	-21/200000	negative	99999/100000	399061/400000
M=7, N=5, p=9/10	3→4	1959/2000	199959/200000	53/40000	369/200000	-13/25000	negative	99999/100000	399061/400000
M=7, N=5, p=9/10	4→5	3971/4000	39971/40000	1961/400000	261/40000	-649/400000	negative	99999/100000	399061/400000
M=7, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	38388683/38400000
M=7, N=5, p=19/20	2→3	19/20	159999/160000	2147/19200000	19/160000	-133/19200000	negative	3199999/3200000	38388683/38400000
M=7, N=5, p=19/20	3→4	47747/48000	19199747/19200000	2147/11520000	4807/19200000	-1843/28800000	negative	3199999/3200000	38388683/38400000
M=7, N=5, p=19/20	4→5	575111/576000	11519111/11520000	143849/115200000	16891/11520000	-25061/115200000	negative	3199999/3200000	38388683/38400000
M=7, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=7, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=7, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=7, N=6, p=1/7	1→2	1/7	70993/117649	0	7776/117649	-7776/117649	negative	70993/117649	1/7
M=7, N=6, p=1/7	2→3	1/7	9031/16807	0	1296/16807	-1296/16807	negative	70993/117649	1/7
M=7, N=6, p=1/7	3→4	1/7	1105/2401	0	216/2401	-216/2401	negative	70993/117649	1/7
M=7, N=6, p=1/7	4→5	1/7	127/343	0	36/343	-36/343	negative	70993/117649	1/7
M=7, N=6, p=1/7	5→6	1/7	13/49	0	6/49	-6/49	negative	70993/117649	1/7
M=7, N=6, p=1/5	1→2	1/5	11529/15625	0	1024/15625	-1024/15625	negative	11529/15625	20759/84375
M=7, N=6, p=1/5	2→3	1/5	2101/3125	256/46875	256/3125	-3584/46875	negative	11529/15625	20759/84375
M=7, N=6, p=1/5	3→4	79/375	27931/46875	256/28125	4736/46875	-12928/140625	negative	11529/15625	20759/84375
M=7, N=6, p=1/5	4→5	253/1125	14173/28125	1376/140625	3488/28125	-16064/140625	negative	11529/15625	20759/84375
M=7, N=6, p=1/5	5→6	741/3125	6089/15625	752/84375	2384/15625	-60608/421875	negative	11529/15625	20759/84375
M=7, N=6, p=1/4	1→2	1/4	3367/4096	0	243/4096	-243/4096	negative	3367/4096	11297/32768
M=7, N=6, p=1/4	2→3	1/4	781/1024	81/8192	81/1024	-567/8192	negative	3367/4096	11297/32768
M=7, N=6, p=1/4	3→4	35/128	5681/8192	135/8192	837/8192	-351/4096	negative	3367/4096	11297/32768
M=7, N=6, p=1/4	4→5	155/512	4979/8192	297/16384	1071/8192	-1845/16384	negative	3367/4096	11297/32768
M=7, N=6, p=1/4	5→6	1339/4096	8113/16384	585/32768	2757/16384	-4929/32768	negative	3367/4096	11297/32768
M=7, N=6, p=1/3	1→2	1/3	665/729	0	32/729	-32/729	negative	665/729	10061/19683
M=7, N=6, p=1/3	2→3	1/3	211/243	32/2187	16/243	-112/2187	negative	665/729	10061/19683
M=7, N=6, p=1/3	3→4	31/81	1787/2187	160/6561	200/2187	-440/6561	negative	665/729	10061/19683
M=7, N=6, p=1/3	4→5	319/729	4921/6561	184/6561	820/6561	-212/2187	negative	665/729	10061/19683
M=7, N=6, p=1/3	5→6	1049/2187	4285/6561	620/19683	1138/6561	-2794/19683	negative	665/729	10061/19683
M=7, N=6, p=2/5	1→2	2/5	14896/15625	0	486/15625	-486/15625	negative	14896/15625	3967/6250
M=7, N=6, p=2/5	2→3	2/5	2882/3125	243/15625	162/3125	-567/15625	negative	14896/15625	3967/6250
M=7, N=6, p=2/5	3→4	59/125	13843/15625	81/3125	1188/15625	-783/15625	negative	14896/15625	3967/6250
M=7, N=6, p=2/5	4→5	68/125	2612/3125	486/15625	342/3125	-1224/15625	negative	14896/15625	3967/6250
M=7, N=6, p=2/5	5→6	1862/3125	11836/15625	243/6250	2526/15625	-3837/31250	negative	14896/15625	3967/6250
M=7, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	10907/13824
M=7, N=6, p=1/2	2→3	1/2	31/32	5/384	1/32	-7/384	negative	63/64	10907/13824
M=7, N=6, p=1/2	3→4	29/48	365/384	25/1152	19/384	-1/36	negative	63/64	10907/13824
M=7, N=6, p=1/2	4→5	199/288	1063/1152	65/2304	89/1152	-113/2304	negative	63/64	10907/13824
M=7, N=6, p=1/2	5→6	287/384	671/768	575/13824	97/768	-1171/13824	negative	63/64	10907/13824
M=7, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	37189/39366
M=7, N=6, p=2/3	2→3	2/3	242/243	11/2187	2/243	-7/2187	negative	728/729	37189/39366
M=7, N=6, p=2/3	3→4	65/81	2171/2187	55/6561	32/2187	-41/6561	negative	728/729	37189/39366
M=7, N=6, p=2/3	4→5	640/729	6472/6561	88/6561	178/6561	-10/729	negative	728/729	37189/39366
M=7, N=6, p=2/3	5→6	2008/2187	6382/6561	1045/39366	358/6561	-1103/39366	negative	728/729	37189/39366
M=7, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	288929/294912
M=7, N=6, p=3/4	2→3	3/4	1023/1024	17/8192	3/1024	-7/8192	negative	4095/4096	288929/294912
M=7, N=6, p=3/4	3→4	113/128	8177/8192	85/24576	45/8192	-25/12288	negative	4095/4096	288929/294912
M=7, N=6, p=3/4	4→5	1441/1536	24481/24576	323/49152	95/8192	-247/49152	negative	4095/4096	288929/294912
M=7, N=6, p=3/4	5→6	11851/12288	48715/49152	4505/294912	437/16384	-3361/294912	negative	4095/4096	288929/294912
M=7, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	10029475/10077696
M=7, N=6, p=5/6	2→3	5/6	7775/7776	145/279936	5/7776	-35/279936	negative	46655/46656	10029475/10077696
M=7, N=6, p=5/6	3→4	1225/1296	279865/279936	725/839808	355/279936	-85/209952	negative	46655/46656	10029475/10077696
M=7, N=6, p=5/6	4→5	22775/23328	839255/839808	3625/1679616	2765/839808	-635/559872	negative	46655/46656	10029475/10077696
M=7, N=6, p=5/6	5→6	276925/279936	1676605/1679616	60175/10077696	15055/1679616	-30155/10077696	negative	46655/46656	10029475/10077696
M=7, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	4796311/4800000
M=7, N=6, p=9/10	2→3	9/10	99999/100000	159/2000000	9/100000	-21/2000000	negative	999999/1000000	4796311/4800000
M=7, N=6, p=9/10	3→4	1959/2000	1999959/2000000	53/400000	369/2000000	-13/250000	negative	999999/1000000	4796311/4800000
M=7, N=6, p=9/10	4→5	3971/4000	399971/400000	1961/4000000	261/400000	-649/4000000	negative	999999/1000000	4796311/4800000
M=7, N=6, p=9/10	5→6	399061/400000	3999061/4000000	7579/4800000	8451/4000000	-12811/24000000	negative	999999/1000000	4796311/4800000
M=7, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	2764614247/2764800000
M=7, N=6, p=19/20	2→3	19/20	3199999/3200000	2147/384000000	19/3200000	-133/384000000	negative	63999999/64000000	2764614247/2764800000
M=7, N=6, p=19/20	3→4	47747/48000	383999747/384000000	2147/230400000	4807/384000000	-1843/576000000	negative	63999999/64000000	2764614247/2764800000
M=7, N=6, p=19/20	4→5	575111/576000	230399111/230400000	143849/2304000000	16891/230400000	-25061/2304000000	negative	63999999/64000000	2764614247/2764800000
M=7, N=6, p=19/20	5→6	38388683/38400000	767988683/768000000	629071/2764800000	215023/768000000	-725059/13824000000	negative	63999999/64000000	2764614247/2764800000
M=7, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=7, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=7, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=7, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=7, N=7, p=1/7	1→2	1/7	543607/823543	0	46656/823543	-46656/823543	negative	543607/823543	1/7
M=7, N=7, p=1/7	2→3	1/7	70993/117649	0	7776/117649	-7776/117649	negative	543607/823543	1/7
M=7, N=7, p=1/7	3→4	1/7	9031/16807	0	1296/16807	-1296/16807	negative	543607/823543	1/7
M=7, N=7, p=1/7	4→5	1/7	1105/2401	0	216/2401	-216/2401	negative	543607/823543	1/7
M=7, N=7, p=1/7	5→6	1/7	127/343	0	36/343	-36/343	negative	543607/823543	1/7
M=7, N=7, p=1/7	6→7	1/7	13/49	0	6/49	-6/49	negative	543607/823543	1/7
M=7, N=7, p=1/5	1→2	1/5	61741/78125	0	4096/78125	-4096/78125	negative	61741/78125	320761/1265625
M=7, N=7, p=1/5	2→3	1/5	11529/15625	1024/234375	1024/15625	-14336/234375	negative	61741/78125	320761/1265625
M=7, N=7, p=1/5	3→4	79/375	158599/234375	1024/140625	18944/234375	-51712/703125	negative	61741/78125	320761/1265625
M=7, N=7, p=1/5	4→5	253/1125	84817/140625	5504/703125	13952/140625	-64256/703125	negative	61741/78125	320761/1265625
M=7, N=7, p=1/5	5→6	741/3125	39981/78125	3008/421875	9536/78125	-242432/2109375	negative	61741/78125	320761/1265625
M=7, N=7, p=1/5	6→7	20759/84375	167411/421875	9376/1265625	63616/421875	-181472/1265625	negative	61741/78125	320761/1265625
M=7, N=7, p=1/4	1→2	1/4	14197/16384	0	729/16384	-729/16384	negative	14197/16384	47243/131072
M=7, N=7, p=1/4	2→3	1/4	3367/4096	243/32768	243/4096	-1701/32768	negative	14197/16384	47243/131072
M=7, N=7, p=1/4	3→4	35/128	25235/32768	405/32768	2511/32768	-1053/16384	negative	14197/16384	47243/131072
M=7, N=7, p=1/4	4→5	155/512	23129/32768	891/65536	3213/32768	-5535/65536	negative	14197/16384	47243/131072
M=7, N=7, p=1/4	5→6	1339/4096	40723/65536	1755/131072	8271/65536	-14787/131072	negative	14197/16384	47243/131072
M=7, N=7, p=1/4	6→7	11297/32768	66659/131072	2055/131072	21471/131072	-2427/16384	negative	14197/16384	47243/131072
M=7, N=7, p=1/3	1→2	1/3	2059/2187	0	64/2187	-64/2187	negative	2059/2187	95669/177147
M=7, N=7, p=1/3	2→3	1/3	665/729	64/6561	32/729	-224/6561	negative	2059/2187	95669/177147
M=7, N=7, p=1/3	3→4	31/81	5761/6561	320/19683	400/6561	-880/19683	negative	2059/2187	95669/177147
M=7, N=7, p=1/3	4→5	319/729	16403/19683	368/19683	1640/19683	-424/6561	negative	2059/2187	95669/177147
M=7, N=7, p=1/3	5→6	1049/2187	15131/19683	1240/59049	2276/19683	-5588/59049	negative	2059/2187	95669/177147
M=7, N=7, p=1/3	6→7	10061/19683	39805/59049	5120/177147	9622/59049	-23746/177147	negative	2059/2187	95669/177147
M=7, N=7, p=2/5	1→2	2/5	75938/78125	0	1458/78125	-1458/78125	negative	75938/78125	20951/31250
M=7, N=7, p=2/5	2→3	2/5	14896/15625	729/78125	486/15625	-1701/78125	negative	75938/78125	20951/31250
M=7, N=7, p=2/5	3→4	59/125	72779/78125	243/15625	3564/78125	-2349/78125	negative	75938/78125	20951/31250
M=7, N=7, p=2/5	4→5	68/125	14086/15625	1458/78125	1026/15625	-3672/78125	negative	75938/78125	20951/31250
M=7, N=7, p=2/5	5→6	1862/3125	66758/78125	729/31250	7578/78125	-11511/156250	negative	75938/78125	20951/31250
M=7, N=7, p=2/5	6→7	3967/6250	24401/31250	558/15625	2283/15625	-69/625	negative	75938/78125	20951/31250
M=7, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	68467/82944
M=7, N=7, p=1/2	2→3	1/2	63/64	5/768	1/64	-7/768	negative	127/128	68467/82944
M=7, N=7, p=1/2	3→4	29/48	749/768	25/2304	19/768	-1/72	negative	127/128	68467/82944
M=7, N=7, p=1/2	4→5	199/288	2215/2304	65/4608	89/2304	-113/4608	negative	127/128	68467/82944
M=7, N=7, p=1/2	5→6	287/384	1439/1536	575/27648	97/1536	-1171/27648	negative	127/128	68467/82944
M=7, N=7, p=1/2	6→7	10907/13824	24731/27648	3025/82944	2917/27648	-2863/41472	negative	127/128	68467/82944
M=7, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	341411/354294
M=7, N=7, p=2/3	2→3	2/3	728/729	11/6561	2/729	-7/6561	negative	2186/2187	341411/354294
M=7, N=7, p=2/3	3→4	65/81	6545/6561	55/19683	32/6561	-41/19683	negative	2186/2187	341411/354294
M=7, N=7, p=2/3	4→5	640/729	19594/19683	88/19683	178/19683	-10/2187	negative	2186/2187	341411/354294
M=7, N=7, p=2/3	5→6	2008/2187	19504/19683	1045/118098	358/19683	-1103/118098	negative	2186/2187	341411/354294
M=7, N=7, p=2/3	6→7	37189/39366	115921/118098	3355/177147	2177/59049	-3176/177147	negative	2186/2187	341411/354294
M=7, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	3499363/3538944
M=7, N=7, p=3/4	2→3	3/4	4095/4096	17/32768	3/4096	-7/32768	negative	16383/16384	3499363/3538944
M=7, N=7, p=3/4	3→4	113/128	32753/32768	85/98304	45/32768	-25/49152	negative	16383/16384	3499363/3538944
M=7, N=7, p=3/4	4→5	1441/1536	98209/98304	323/196608	95/32768	-247/196608	negative	16383/16384	3499363/3538944
M=7, N=7, p=3/4	5→6	11851/12288	196171/196608	4505/1179648	437/65536	-3361/1179648	negative	16383/16384	3499363/3538944
M=7, N=7, p=3/4	6→7	288929/294912	1173665/1179648	32215/3538944	5983/393216	-169/27648	negative	16383/16384	3499363/3538944
M=7, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	181027175/181398528
M=7, N=7, p=5/6	2→3	5/6	46655/46656	145/1679616	5/46656	-35/1679616	negative	279935/279936	181027175/181398528
M=7, N=7, p=5/6	3→4	1225/1296	1679545/1679616	725/5038848	355/1679616	-85/1259712	negative	279935/279936	181027175/181398528
M=7, N=7, p=5/6	4→5	22775/23328	5038295/5038848	3625/10077696	2765/5038848	-635/3359232	negative	279935/279936	181027175/181398528
M=7, N=7, p=5/6	5→6	276925/279936	10074685/10077696	60175/60466176	15055/10077696	-30155/60466176	negative	279935/279936	181027175/181398528
M=7, N=7, p=5/6	6→7	10029475/10077696	60417955/60466176	496625/181398528	241105/60466176	-113345/90699264	negative	279935/279936	181027175/181398528
M=7, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	143965703/144000000
M=7, N=7, p=9/10	2→3	9/10	999999/1000000	159/20000000	9/1000000	-21/20000000	negative	9999999/10000000	143965703/144000000
M=7, N=7, p=9/10	3→4	1959/2000	19999959/20000000	53/4000000	369/20000000	-13/2500000	negative	9999999/10000000	143965703/144000000
M=7, N=7, p=9/10	4→5	3971/4000	3999971/4000000	1961/40000000	261/4000000	-649/40000000	negative	9999999/10000000	143965703/144000000
M=7, N=7, p=9/10	5→6	399061/400000	39999061/40000000	7579/48000000	8451/40000000	-12811/240000000	negative	9999999/10000000	143965703/144000000
M=7, N=7, p=9/10	6→7	4796311/4800000	47996311/48000000	76373/144000000	11067/16000000	-2323/14400000	negative	9999999/10000000	143965703/144000000
M=7, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	165885809957/165888000000
M=7, N=7, p=19/20	2→3	19/20	63999999/64000000	2147/7680000000	19/64000000	-133/7680000000	negative	1279999999/1280000000	165885809957/165888000000
M=7, N=7, p=19/20	3→4	47747/48000	7679999747/7680000000	2147/4608000000	4807/7680000000	-1843/11520000000	negative	1279999999/1280000000	165885809957/165888000000
M=7, N=7, p=19/20	4→5	575111/576000	4607999111/4608000000	143849/46080000000	16891/4608000000	-25061/46080000000	negative	1279999999/1280000000	165885809957/165888000000
M=7, N=7, p=19/20	5→6	38388683/38400000	15359988683/15360000000	629071/55296000000	215023/15360000000	-725059/276480000000	negative	1279999999/1280000000	165885809957/165888000000
M=7, N=7, p=19/20	6→7	2764614247/2764800000	55295814247/55296000000	8955137/165888000000	3529307/55296000000	-102049/10368000000	negative	1279999999/1280000000	165885809957/165888000000
M=7, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=7, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=7, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=7, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=7, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=7, N=8, p=1/7	1→2	1/7	4085185/5764801	0	279936/5764801	-279936/5764801	negative	4085185/5764801	1/7
M=7, N=8, p=1/7	2→3	1/7	543607/823543	0	46656/823543	-46656/823543	negative	4085185/5764801	1/7
M=7, N=8, p=1/7	3→4	1/7	70993/117649	0	7776/117649	-7776/117649	negative	4085185/5764801	1/7
M=7, N=8, p=1/7	4→5	1/7	9031/16807	0	1296/16807	-1296/16807	negative	4085185/5764801	1/7
M=7, N=8, p=1/7	5→6	1/7	1105/2401	0	216/2401	-216/2401	negative	4085185/5764801	1/7
M=7, N=8, p=1/7	6→7	1/7	127/343	0	36/343	-36/343	negative	4085185/5764801	1/7
M=7, N=8, p=1/7	7→8	1/7	13/49	0	6/49	-6/49	negative	4085185/5764801	1/7
M=7, N=8, p=1/5	1→2	1/5	325089/390625	0	16384/390625	-16384/390625	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/5	2→3	1/5	61741/78125	4096/1171875	4096/78125	-57344/1171875	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/5	3→4	79/375	868771/1171875	4096/703125	75776/1171875	-206848/3515625	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/5	4→5	253/1125	479893/703125	22016/3515625	55808/703125	-257024/3515625	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/5	5→6	741/3125	238049/390625	12032/2109375	38144/390625	-969728/10546875	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/5	6→7	20759/84375	1091519/2109375	37504/6328125	254464/2109375	-725888/6328125	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/5	7→8	320761/1265625	2548669/6328125	49088/6328125	944864/6328125	-298592/2109375	negative	325089/390625	1652893/6328125
M=7, N=8, p=1/4	1→2	1/4	58975/65536	0	2187/65536	-2187/65536	negative	58975/65536	98821/262144
M=7, N=8, p=1/4	2→3	1/4	14197/16384	729/131072	729/16384	-5103/131072	negative	58975/65536	98821/262144
M=7, N=8, p=1/4	3→4	35/128	108473/131072	1215/131072	7533/131072	-3159/65536	negative	58975/65536	98821/262144
M=7, N=8, p=1/4	4→5	155/512	102155/131072	2673/262144	9639/131072	-16605/262144	negative	58975/65536	98821/262144
M=7, N=8, p=1/4	5→6	1339/4096	187705/262144	5265/524288	24813/262144	-44361/524288	negative	58975/65536	98821/262144
M=7, N=8, p=1/4	6→7	11297/32768	331049/524288	6165/524288	64413/524288	-7281/65536	negative	58975/65536	98821/262144
M=7, N=8, p=1/4	7→8	47243/131072	272801/524288	4335/262144	83829/524288	-75159/524288	negative	58975/65536	98821/262144
M=7, N=8, p=1/3	1→2	1/3	6305/6561	0	128/6561	-128/6561	negative	6305/6561	100909/177147
M=7, N=8, p=1/3	2→3	1/3	2059/2187	128/19683	64/2187	-448/19683	negative	6305/6561	100909/177147
M=7, N=8, p=1/3	3→4	31/81	18083/19683	640/59049	800/19683	-1760/59049	negative	6305/6561	100909/177147
M=7, N=8, p=1/3	4→5	319/729	52489/59049	736/59049	3280/59049	-848/19683	negative	6305/6561	100909/177147
M=7, N=8, p=1/3	5→6	1049/2187	49945/59049	2480/177147	4552/59049	-11176/177147	negative	6305/6561	100909/177147
M=7, N=8, p=1/3	6→7	10061/19683	138659/177147	10240/531441	19244/177147	-47492/531441	negative	6305/6561	100909/177147
M=7, N=8, p=1/3	7→8	95669/177147	368485/531441	5240/177147	81478/531441	-65758/531441	negative	6305/6561	100909/177147
M=7, N=8, p=2/5	1→2	2/5	384064/390625	0	4374/390625	-4374/390625	negative	384064/390625	110191/156250
M=7, N=8, p=2/5	2→3	2/5	75938/78125	2187/390625	1458/78125	-5103/390625	negative	384064/390625	110191/156250
M=7, N=8, p=2/5	3→4	59/125	374587/390625	729/78125	10692/390625	-7047/390625	negative	384064/390625	110191/156250
M=7, N=8, p=2/5	4→5	68/125	73508/78125	4374/390625	3078/78125	-11016/390625	negative	384064/390625	110191/156250
M=7, N=8, p=2/5	5→6	1862/3125	356524/390625	2187/156250	22734/390625	-34533/781250	negative	384064/390625	110191/156250
M=7, N=8, p=2/5	6→7	3967/6250	135703/156250	1674/78125	6849/78125	-207/3125	negative	384064/390625	110191/156250
M=7, N=8, p=2/5	7→8	20951/31250	125353/156250	2718/78125	10299/78125	-7581/78125	negative	384064/390625	110191/156250
M=7, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	71117/82944
M=7, N=8, p=1/2	2→3	1/2	127/128	5/1536	1/128	-7/1536	negative	255/256	71117/82944
M=7, N=8, p=1/2	3→4	29/48	1517/1536	25/4608	19/1536	-1/144	negative	255/256	71117/82944
M=7, N=8, p=1/2	4→5	199/288	4519/4608	65/9216	89/4608	-113/9216	negative	255/256	71117/82944
M=7, N=8, p=1/2	5→6	287/384	2975/3072	575/55296	97/3072	-1171/55296	negative	255/256	71117/82944
M=7, N=8, p=1/2	6→7	10907/13824	52379/55296	3025/165888	2917/55296	-2863/82944	negative	255/256	71117/82944
M=7, N=8, p=1/2	7→8	68467/82944	151411/165888	1325/41472	14477/165888	-3059/55296	negative	255/256	71117/82944
M=7, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	115307/118098
M=7, N=8, p=2/3	2→3	2/3	2186/2187	11/19683	2/2187	-7/19683	negative	6560/6561	115307/118098
M=7, N=8, p=2/3	3→4	65/81	19667/19683	55/59049	32/19683	-41/59049	negative	6560/6561	115307/118098
M=7, N=8, p=2/3	4→5	640/729	58960/59049	88/59049	178/59049	-10/6561	negative	6560/6561	115307/118098
M=7, N=8, p=2/3	5→6	2008/2187	58870/59049	1045/354294	358/59049	-1103/354294	negative	6560/6561	115307/118098
M=7, N=8, p=2/3	6→7	37189/39366	352117/354294	3355/531441	2177/177147	-3176/531441	negative	6560/6561	115307/118098
M=7, N=8, p=2/3	7→8	341411/354294	1049999/1062882	2255/177147	12883/531441	-6118/531441	negative	6560/6561	115307/118098
M=7, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	2344837/2359296
M=7, N=8, p=3/4	2→3	3/4	16383/16384	17/131072	3/16384	-7/131072	negative	65535/65536	2344837/2359296
M=7, N=8, p=3/4	3→4	113/128	131057/131072	85/393216	45/131072	-25/196608	negative	65535/65536	2344837/2359296
M=7, N=8, p=3/4	4→5	1441/1536	393121/393216	323/786432	95/131072	-247/786432	negative	65535/65536	2344837/2359296
M=7, N=8, p=3/4	5→6	11851/12288	785995/786432	4505/4718592	437/262144	-3361/4718592	negative	65535/65536	2344837/2359296
M=7, N=8, p=3/4	6→7	288929/294912	4712609/4718592	32215/14155776	5983/1572864	-169/110592	negative	65535/65536	2344837/2359296
M=7, N=8, p=3/4	7→8	3499363/3538944	14116195/14155776	35785/7077888	39581/4718592	-47173/14155776	negative	65535/65536	2344837/2359296
M=7, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=5/6	2→3	5/6	279935/279936	145/10077696	5/279936	-35/10077696	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=5/6	3→4	1225/1296	10077625/10077696	725/30233088	355/10077696	-85/7558272	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=5/6	4→5	22775/23328	30232535/30233088	3625/60466176	2765/30233088	-635/20155392	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=5/6	5→6	276925/279936	60463165/60466176	60175/362797056	15055/60466176	-30155/362797056	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=5/6	6→7	10029475/10077696	362748835/362797056	496625/1088391168	241105/362797056	-113345/544195584	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=5/6	7→8	181027175/181398528	1088019815/1088391168	52925/45349632	1856765/1088391168	-586565/1088391168	negative	1679615/1679616	181238875/181398528
M=7, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=9/10	2→3	9/10	9999999/10000000	159/200000000	9/10000000	-21/200000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=9/10	3→4	1959/2000	199999959/200000000	53/40000000	369/200000000	-13/25000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=9/10	4→5	3971/4000	39999971/40000000	1961/400000000	261/40000000	-649/400000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=9/10	5→6	399061/400000	399999061/400000000	7579/480000000	8451/400000000	-12811/2400000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=9/10	6→7	4796311/4800000	479996311/480000000	76373/1440000000	11067/160000000	-2323/144000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=9/10	7→8	143965703/144000000	1439965703/1440000000	58459/360000000	34297/160000000	-74837/1440000000	negative	99999999/100000000	79993937/80000000
M=7, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=19/20	2→3	19/20	1279999999/1280000000	2147/153600000000	19/1280000000	-133/153600000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=19/20	3→4	47747/48000	153599999747/153600000000	2147/92160000000	4807/153600000000	-1843/230400000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=19/20	4→5	575111/576000	92159999111/92160000000	143849/921600000000	16891/92160000000	-25061/921600000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=19/20	5→6	38388683/38400000	307199988683/307200000000	629071/1105920000000	215023/307200000000	-725059/5529600000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=19/20	6→7	2764614247/2764800000	1105919814247/1105920000000	8955137/3317760000000	3529307/1105920000000	-102049/207360000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=19/20	7→8	165885809957/165888000000	3317757809957/3317760000000	17135207/1658880000000	41610817/3317760000000	-2446801/1105920000000	negative	25599999999/25600000000	1658875234777/1658880000000
M=7, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=7, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=7, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=7, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=7, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=7, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=7, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
M=8, N=2, p=1/8	1→2	1/8	15/64	0	7/64	-7/64	negative	15/64	1/8
M=8, N=2, p=1/5	1→2	1/5	9/25	0	4/25	-4/25	negative	9/25	1/5
M=8, N=2, p=1/4	1→2	1/4	7/16	0	3/16	-3/16	negative	7/16	1/4
M=8, N=2, p=1/3	1→2	1/3	5/9	0	2/9	-2/9	negative	5/9	1/3
M=8, N=2, p=2/5	1→2	2/5	16/25	0	6/25	-6/25	negative	16/25	2/5
M=8, N=2, p=1/2	1→2	1/2	3/4	0	1/4	-1/4	negative	3/4	1/2
M=8, N=2, p=2/3	1→2	2/3	8/9	0	2/9	-2/9	negative	8/9	2/3
M=8, N=2, p=3/4	1→2	3/4	15/16	0	3/16	-3/16	negative	15/16	3/4
M=8, N=2, p=5/6	1→2	5/6	35/36	0	5/36	-5/36	negative	35/36	5/6
M=8, N=2, p=9/10	1→2	9/10	99/100	0	9/100	-9/100	negative	99/100	9/10
M=8, N=2, p=19/20	1→2	19/20	399/400	0	19/400	-19/400	negative	399/400	19/20
M=8, N=2, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=3, p=1/8	1→2	1/8	169/512	0	49/512	-49/512	negative	169/512	1/8
M=8, N=3, p=1/8	2→3	1/8	15/64	0	7/64	-7/64	negative	169/512	1/8
M=8, N=3, p=1/5	1→2	1/5	61/125	0	16/125	-16/125	negative	61/125	187/875
M=8, N=3, p=1/5	2→3	1/5	9/25	12/875	4/25	-128/875	negative	61/125	187/875
M=8, N=3, p=1/4	1→2	1/4	37/64	0	9/64	-9/64	negative	37/64	31/112
M=8, N=3, p=1/4	2→3	1/4	7/16	3/112	3/16	-9/56	negative	37/64	31/112
M=8, N=3, p=1/3	1→2	1/3	19/27	0	4/27	-4/27	negative	19/27	73/189
M=8, N=3, p=1/3	2→3	1/3	5/9	10/189	2/9	-32/189	negative	19/27	73/189
M=8, N=3, p=2/5	1→2	2/5	98/125	0	18/125	-18/125	negative	98/125	416/875
M=8, N=3, p=2/5	2→3	2/5	16/25	66/875	6/25	-144/875	negative	98/125	416/875
M=8, N=3, p=1/2	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	17/28
M=8, N=3, p=1/2	2→3	1/2	3/4	3/28	1/4	-1/7	negative	7/8	17/28
M=8, N=3, p=2/3	1→2	2/3	26/27	0	2/27	-2/27	negative	26/27	152/189
M=8, N=3, p=2/3	2→3	2/3	8/9	26/189	2/9	-16/189	negative	26/27	152/189
M=8, N=3, p=3/4	1→2	3/4	63/64	0	3/64	-3/64	negative	63/64	99/112
M=8, N=3, p=3/4	2→3	3/4	15/16	15/112	3/16	-3/56	negative	63/64	99/112
M=8, N=3, p=5/6	1→2	5/6	215/216	0	5/216	-5/216	negative	215/216	715/756
M=8, N=3, p=5/6	2→3	5/6	35/36	85/756	5/36	-5/189	negative	215/216	715/756
M=8, N=3, p=9/10	1→2	9/10	999/1000	0	9/1000	-9/1000	negative	999/1000	3429/3500
M=8, N=3, p=9/10	2→3	9/10	99/100	279/3500	9/100	-9/875	negative	999/1000	3429/3500
M=8, N=3, p=19/20	1→2	19/20	7999/8000	0	19/8000	-19/8000	negative	7999/8000	13927/14000
M=8, N=3, p=19/20	2→3	19/20	399/400	627/14000	19/400	-19/7000	negative	7999/8000	13927/14000
M=8, N=3, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=3, p=1	2→3	1	1	0	0	0	zero	1	1
M=8, N=4, p=1/8	1→2	1/8	1695/4096	0	343/4096	-343/4096	negative	1695/4096	1/8
M=8, N=4, p=1/8	2→3	1/8	169/512	0	49/512	-49/512	negative	1695/4096	1/8
M=8, N=4, p=1/8	3→4	1/8	15/64	0	7/64	-7/64	negative	1695/4096	1/8
M=8, N=4, p=1/5	1→2	1/5	369/625	0	64/625	-64/625	negative	369/625	7121/30625
M=8, N=4, p=1/5	2→3	1/5	61/125	48/4375	16/125	-512/4375	negative	369/625	7121/30625
M=8, N=4, p=1/5	3→4	187/875	1623/4375	576/30625	688/4375	-848/6125	negative	369/625	7121/30625
M=8, N=4, p=1/4	1→2	1/4	175/256	0	27/256	-27/256	negative	175/256	61/196
M=8, N=4, p=1/4	2→3	1/4	37/64	9/448	9/64	-27/224	negative	175/256	61/196
M=8, N=4, p=1/4	3→4	31/112	205/448	27/784	81/448	-459/3136	negative	175/256	61/196
M=8, N=4, p=1/3	1→2	1/3	65/81	0	8/81	-8/81	negative	65/81	197/441
M=8, N=4, p=1/3	2→3	1/3	19/27	20/567	4/27	-64/567	negative	65/81	197/441
M=8, N=4, p=1/3	3→4	73/189	335/567	80/1323	116/567	-572/3969	negative	65/81	197/441
M=8, N=4, p=2/5	1→2	2/5	544/625	0	54/625	-54/625	negative	544/625	16936/30625
M=8, N=4, p=2/5	2→3	2/5	98/125	198/4375	18/125	-432/4375	negative	544/625	16936/30625
M=8, N=4, p=2/5	3→4	416/875	2998/4375	2376/30625	918/4375	-162/1225	negative	544/625	16936/30625
M=8, N=4, p=1/2	1→2	1/2	15/16	0	1/16	-1/16	negative	15/16	137/196
M=8, N=4, p=1/2	2→3	1/2	7/8	3/56	1/8	-1/14	negative	15/16	137/196
M=8, N=4, p=1/2	3→4	17/28	45/56	9/98	11/56	-41/392	negative	15/16	137/196
M=8, N=4, p=2/3	1→2	2/3	80/81	0	2/81	-2/81	negative	80/81	1168/1323
M=8, N=4, p=2/3	2→3	2/3	26/27	26/567	2/27	-16/567	negative	80/81	1168/1323
M=8, N=4, p=2/3	3→4	152/189	530/567	104/1323	74/567	-206/3969	negative	80/81	1168/1323
M=8, N=4, p=3/4	1→2	3/4	255/256	0	3/256	-3/256	negative	255/256	369/392
M=8, N=4, p=3/4	2→3	3/4	63/64	15/448	3/64	-3/224	negative	255/256	369/392
M=8, N=4, p=3/4	3→4	99/112	435/448	45/784	39/448	-93/3136	negative	255/256	369/392
M=8, N=4, p=5/6	1→2	5/6	1295/1296	0	5/1296	-5/1296	negative	1295/1296	575/588
M=8, N=4, p=5/6	2→3	5/6	215/216	85/4536	5/216	-5/1134	negative	1295/1296	575/588
M=8, N=4, p=5/6	3→4	715/756	4495/4536	85/2646	205/4536	-415/31752	negative	1295/1296	575/588
M=8, N=4, p=9/10	1→2	9/10	9999/10000	0	9/10000	-9/10000	negative	9999/10000	121689/122500
M=8, N=4, p=9/10	2→3	9/10	999/1000	279/35000	9/1000	-9/8750	negative	9999/10000	121689/122500
M=8, N=4, p=9/10	3→4	3429/3500	34929/35000	837/61250	639/35000	-9/1960	negative	9999/10000	121689/122500
M=8, N=4, p=19/20	1→2	19/20	159999/160000	0	19/160000	-19/160000	negative	159999/160000	244663/245000
M=8, N=4, p=19/20	2→3	19/20	7999/8000	627/280000	19/8000	-19/140000	negative	159999/160000	244663/245000
M=8, N=4, p=19/20	3→4	13927/14000	279927/280000	1881/490000	1387/280000	-437/392000	negative	159999/160000	244663/245000
M=8, N=4, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=4, p=1	2→3	1	1	0	0	0	zero	1	1
M=8, N=4, p=1	3→4	1	1	0	0	0	zero	1	1
M=8, N=5, p=1/8	1→2	1/8	15961/32768	0	2401/32768	-2401/32768	negative	15961/32768	1/8
M=8, N=5, p=1/8	2→3	1/8	1695/4096	0	343/4096	-343/4096	negative	15961/32768	1/8
M=8, N=5, p=1/8	3→4	1/8	169/512	0	49/512	-49/512	negative	15961/32768	1/8
M=8, N=5, p=1/8	4→5	1/8	15/64	0	7/64	-7/64	negative	15961/32768	1/8
M=8, N=5, p=1/5	1→2	1/5	2101/3125	0	256/3125	-256/3125	negative	2101/3125	267523/1071875
M=8, N=5, p=1/5	2→3	1/5	369/625	192/21875	64/625	-2048/21875	negative	2101/3125	267523/1071875
M=8, N=5, p=1/5	3→4	187/875	10867/21875	2304/153125	2752/21875	-3392/30625	negative	2101/3125	267523/1071875
M=8, N=5, p=1/5	4→5	7121/30625	59109/153125	18288/1071875	23504/153125	-29248/214375	negative	2101/3125	267523/1071875
M=8, N=5, p=1/4	1→2	1/4	781/1024	0	81/1024	-81/1024	negative	781/1024	29947/87808
M=8, N=5, p=1/4	2→3	1/4	175/256	27/1792	27/256	-81/896	negative	781/1024	29947/87808
M=8, N=5, p=1/4	3→4	31/112	1063/1792	81/3136	243/1792	-1377/12544	negative	781/1024	29947/87808
M=8, N=5, p=1/4	4→5	61/196	379/784	2619/87808	135/784	-12501/87808	negative	781/1024	29947/87808
M=8, N=5, p=1/3	1→2	1/3	211/243	0	16/243	-16/243	negative	211/243	13751/27783
M=8, N=5, p=1/3	2→3	1/3	65/81	40/1701	8/81	-128/1701	negative	211/243	13751/27783
M=8, N=5, p=1/3	3→4	73/189	1237/1701	160/3969	232/1701	-1144/11907	negative	211/243	13751/27783
M=8, N=5, p=1/3	4→5	197/441	835/1323	1340/27783	244/1323	-3784/27783	negative	211/243	13751/27783
M=8, N=5, p=2/5	1→2	2/5	2882/3125	0	162/3125	-162/3125	negative	2882/3125	654536/1071875
M=8, N=5, p=2/5	2→3	2/5	544/625	594/21875	54/625	-1296/21875	negative	2882/3125	654536/1071875
M=8, N=5, p=2/5	3→4	416/875	17744/21875	7128/153125	2754/21875	-486/6125	negative	2882/3125	654536/1071875
M=8, N=5, p=2/5	4→5	16936/30625	112058/153125	61776/1071875	27378/153125	-25974/214375	negative	2882/3125	654536/1071875
M=8, N=5, p=1/2	1→2	1/2	31/32	0	1/32	-1/32	negative	31/32	4169/5488
M=8, N=5, p=1/2	2→3	1/2	15/16	3/112	1/16	-1/28	negative	31/32	4169/5488
M=8, N=5, p=1/2	3→4	17/28	101/112	9/196	11/112	-41/784	negative	31/32	4169/5488
M=8, N=5, p=1/2	4→5	137/196	333/392	333/5488	59/392	-493/5488	negative	31/32	4169/5488
M=8, N=5, p=2/3	1→2	2/3	242/243	0	2/243	-2/243	negative	242/243	25672/27783
M=8, N=5, p=2/3	2→3	2/3	80/81	26/1701	2/81	-16/1701	negative	242/243	25672/27783
M=8, N=5, p=2/3	3→4	152/189	1664/1701	104/3969	74/1701	-206/11907	negative	242/243	25672/27783
M=8, N=5, p=2/3	4→5	1168/1323	3814/3969	1144/27783	310/3969	-38/1029	negative	242/243	25672/27783
M=8, N=5, p=3/4	1→2	3/4	1023/1024	0	3/1024	-3/1024	negative	1023/1024	84951/87808
M=8, N=5, p=3/4	2→3	3/4	255/256	15/1792	3/256	-3/896	negative	1023/1024	84951/87808
M=8, N=5, p=3/4	3→4	99/112	1779/1792	45/3136	39/1792	-93/12544	negative	1023/1024	84951/87808
M=8, N=5, p=3/4	4→5	369/392	1545/1568	2295/87808	69/1568	-1569/87808	negative	1023/1024	84951/87808
M=8, N=5, p=5/6	1→2	5/6	7775/7776	0	5/7776	-5/7776	negative	7775/7776	440225/444528
M=8, N=5, p=5/6	2→3	5/6	1295/1296	85/27216	5/1296	-5/6804	negative	7775/7776	440225/444528
M=8, N=5, p=5/6	3→4	715/756	27175/27216	85/15876	205/27216	-415/190512	negative	7775/7776	440225/444528
M=8, N=5, p=5/6	4→5	575/588	3515/3528	5525/444528	65/3528	-2665/444528	negative	7775/7776	440225/444528
M=8, N=5, p=9/10	1→2	9/10	99999/100000	0	9/100000	-9/100000	negative	99999/100000	17114301/17150000
M=8, N=5, p=9/10	2→3	9/10	9999/10000	279/350000	9/10000	-9/87500	negative	99999/100000	17114301/17150000
M=8, N=5, p=9/10	3→4	3429/3500	349929/350000	837/612500	639/350000	-9/19600	negative	99999/100000	17114301/17150000
M=8, N=5, p=9/10	4→5	121689/122500	1224189/1225000	77841/17150000	7299/1225000	-4869/3430000	negative	99999/100000	17114301/17150000
M=8, N=5, p=19/20	1→2	19/20	3199999/3200000	0	19/3200000	-19/3200000	negative	3199999/3200000	274329163/274400000
M=8, N=5, p=19/20	2→3	19/20	159999/160000	627/5600000	19/160000	-19/2800000	negative	3199999/3200000	274329163/274400000
M=8, N=5, p=19/20	3→4	13927/14000	5599927/5600000	1881/9800000	1387/5600000	-437/7840000	negative	3199999/3200000	274329163/274400000
M=8, N=5, p=19/20	4→5	244663/245000	4899663/4900000	306603/274400000	6403/4900000	-10393/54880000	negative	3199999/3200000	274329163/274400000
M=8, N=5, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=5, p=1	2→3	1	1	0	0	0	zero	1	1
M=8, N=5, p=1	3→4	1	1	0	0	0	zero	1	1
M=8, N=5, p=1	4→5	1	1	0	0	0	zero	1	1
M=8, N=6, p=1/8	1→2	1/8	144495/262144	0	16807/262144	-16807/262144	negative	144495/262144	1/8
M=8, N=6, p=1/8	2→3	1/8	15961/32768	0	2401/32768	-2401/32768	negative	144495/262144	1/8
M=8, N=6, p=1/8	3→4	1/8	1695/4096	0	343/4096	-343/4096	negative	144495/262144	1/8
M=8, N=6, p=1/8	4→5	1/8	169/512	0	49/512	-49/512	negative	144495/262144	1/8
M=8, N=6, p=1/8	5→6	1/8	15/64	0	7/64	-7/64	negative	144495/262144	1/8
M=8, N=6, p=1/5	1→2	1/5	11529/15625	0	1024/15625	-1024/15625	negative	11529/15625	1970581/7503125
M=8, N=6, p=1/5	2→3	1/5	2101/3125	768/109375	256/3125	-8192/109375	negative	11529/15625	1970581/7503125
M=8, N=6, p=1/5	3→4	187/875	65343/109375	9216/765625	11008/109375	-13568/153125	negative	11529/15625	1970581/7503125
M=8, N=6, p=1/5	4→5	7121/30625	389561/765625	73152/5359375	94016/765625	-116992/1071875	negative	11529/15625	1970581/7503125
M=8, N=6, p=1/5	5→6	267523/1071875	2141967/5359375	19584/1500625	804352/5359375	-5140864/37515625	negative	11529/15625	1970581/7503125
M=8, N=6, p=1/4	1→2	1/4	3367/4096	0	243/4096	-243/4096	negative	3367/4096	447203/1229312
M=8, N=6, p=1/4	2→3	1/4	781/1024	81/7168	81/1024	-243/3584	negative	3367/4096	447203/1229312
M=8, N=6, p=1/4	3→4	31/112	4981/7168	243/12544	729/7168	-4131/50176	negative	3367/4096	447203/1229312
M=8, N=6, p=1/4	4→5	61/196	1921/3136	7857/351232	405/3136	-37503/351232	negative	3367/4096	447203/1229312
M=8, N=6, p=1/4	5→6	29947/87808	177649/351232	27945/1229312	57861/351232	-349137/2458624	negative	3367/4096	447203/1229312
M=8, N=6, p=1/3	1→2	1/3	665/729	0	32/729	-32/729	negative	665/729	309971/583443
M=8, N=6, p=1/3	2→3	1/3	211/243	80/5103	16/243	-256/5103	negative	665/729	309971/583443
M=8, N=6, p=1/3	3→4	73/189	4175/5103	320/11907	464/5103	-2288/35721	negative	665/729	309971/583443
M=8, N=6, p=1/3	4→5	197/441	2993/3969	2680/83349	488/3969	-7568/83349	negative	665/729	309971/583443
M=8, N=6, p=1/3	5→6	13751/27783	55285/83349	21200/583443	14032/83349	-77024/583443	negative	665/729	309971/583443
M=8, N=6, p=2/5	1→2	2/5	14896/15625	0	486/15625	-486/15625	negative	14896/15625	4902512/7503125
M=8, N=6, p=2/5	2→3	2/5	2882/3125	1782/109375	162/3125	-3888/109375	negative	14896/15625	4902512/7503125
M=8, N=6, p=2/5	3→4	416/875	96982/109375	21384/765625	8262/109375	-1458/30625	negative	14896/15625	4902512/7503125
M=8, N=6, p=2/5	4→5	16936/30625	642424/765625	185328/5359375	82134/765625	-77922/1071875	negative	14896/15625	4902512/7503125
M=8, N=6, p=2/5	5→6	654536/1071875	4107358/5359375	64152/1500625	834678/5359375	-4238946/37515625	negative	14896/15625	4902512/7503125
M=8, N=6, p=1/2	1→2	1/2	63/64	0	1/64	-1/64	negative	63/64	1928/2401
M=8, N=6, p=1/2	2→3	1/2	31/32	3/224	1/32	-1/56	negative	63/64	1928/2401
M=8, N=6, p=1/2	3→4	17/28	213/224	9/392	11/224	-41/1568	negative	63/64	1928/2401
M=8, N=6, p=1/2	4→5	137/196	725/784	333/10976	59/784	-493/10976	negative	63/64	1928/2401
M=8, N=6, p=1/2	5→6	4169/5488	9657/10976	1665/38416	1319/10976	-5903/76832	negative	63/64	1928/2401
M=8, N=6, p=2/3	1→2	2/3	728/729	0	2/729	-2/729	negative	728/729	554192/583443
M=8, N=6, p=2/3	2→3	2/3	242/243	26/5103	2/243	-16/5103	negative	728/729	554192/583443
M=8, N=6, p=2/3	3→4	152/189	5066/5103	104/11907	74/5103	-206/35721	negative	728/729	554192/583443
M=8, N=6, p=2/3	4→5	1168/1323	11752/11907	1144/83349	310/11907	-38/3087	negative	728/729	554192/583443
M=8, N=6, p=2/3	5→6	25672/27783	81238/83349	15080/583443	4222/83349	-14474/583443	negative	728/729	554192/583443
M=8, N=6, p=3/4	1→2	3/4	4095/4096	0	3/4096	-3/4096	negative	4095/4096	1207089/1229312
M=8, N=6, p=3/4	2→3	3/4	1023/1024	15/7168	3/1024	-3/3584	negative	4095/4096	1207089/1229312
M=8, N=6, p=3/4	3→4	99/112	7155/7168	45/12544	39/7168	-93/50176	negative	4095/4096	1207089/1229312
M=8, N=6, p=3/4	4→5	369/392	6249/6272	2295/351232	69/6272	-1569/351232	negative	4095/4096	1207089/1229312
M=8, N=6, p=3/4	5→6	84951/87808	348375/351232	17775/1229312	8571/351232	-24447/2458624	negative	4095/4096	1207089/1229312
M=8, N=6, p=5/6	1→2	5/6	46655/46656	0	5/46656	-5/46656	negative	46655/46656	4648075/4667544
M=8, N=6, p=5/6	2→3	5/6	7775/7776	85/163296	5/7776	-5/40824	negative	46655/46656	4648075/4667544
M=8, N=6, p=5/6	3→4	715/756	163255/163296	85/95256	205/163296	-415/1143072	negative	46655/46656	4648075/4667544
M=8, N=6, p=5/6	4→5	575/588	21155/21168	5525/2667168	65/21168	-2665/2667168	negative	46655/46656	4648075/4667544
M=8, N=6, p=5/6	5→6	440225/444528	2662865/2667168	51425/9335088	21515/2667168	-47755/18670176	negative	46655/46656	4648075/4667544
M=8, N=6, p=9/10	1→2	9/10	999999/1000000	0	9/1000000	-9/1000000	negative	999999/1000000	29992923/30012500
M=8, N=6, p=9/10	2→3	9/10	99999/100000	279/3500000	9/100000	-9/875000	negative	999999/1000000	29992923/30012500
M=8, N=6, p=9/10	3→4	3429/3500	3499929/3500000	837/6125000	639/3500000	-9/196000	negative	999999/1000000	29992923/30012500
M=8, N=6, p=9/10	4→5	121689/122500	12249189/12250000	77841/171500000	7299/12250000	-4869/34300000	negative	999999/1000000	29992923/30012500
M=8, N=6, p=9/10	5→6	17114301/17150000	171464301/171500000	34317/24010000	321291/171500000	-533187/1200500000	negative	999999/1000000	29992923/30012500
M=8, N=6, p=19/20	1→2	19/20	63999999/64000000	0	19/64000000	-19/64000000	negative	63999999/64000000	3841388897/3841600000
M=8, N=6, p=19/20	2→3	19/20	3199999/3200000	627/112000000	19/3200000	-19/56000000	negative	63999999/64000000	3841388897/3841600000
M=8, N=6, p=19/20	3→4	13927/14000	111999927/112000000	1881/196000000	1387/112000000	-437/156800000	negative	63999999/64000000	3841388897/3841600000
M=8, N=6, p=19/20	4→5	244663/245000	97999663/98000000	306603/5488000000	6403/98000000	-10393/1097600000	negative	63999999/64000000	3841388897/3841600000
M=8, N=6, p=19/20	5→6	274329163/274400000	5487929163/5488000000	156123/768320000	1345903/5488000000	-1615171/38416000000	negative	63999999/64000000	3841388897/3841600000
M=8, N=6, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=6, p=1	2→3	1	1	0	0	0	zero	1	1
M=8, N=6, p=1	3→4	1	1	0	0	0	zero	1	1
M=8, N=6, p=1	4→5	1	1	0	0	0	zero	1	1
M=8, N=6, p=1	5→6	1	1	0	0	0	zero	1	1
M=8, N=7, p=1/8	1→2	1/8	1273609/2097152	0	117649/2097152	-117649/2097152	negative	1273609/2097152	1/8
M=8, N=7, p=1/8	2→3	1/8	144495/262144	0	16807/262144	-16807/262144	negative	1273609/2097152	1/8
M=8, N=7, p=1/8	3→4	1/8	15961/32768	0	2401/32768	-2401/32768	negative	1273609/2097152	1/8
M=8, N=7, p=1/8	4→5	1/8	1695/4096	0	343/4096	-343/4096	negative	1273609/2097152	1/8
M=8, N=7, p=1/8	5→6	1/8	169/512	0	49/512	-49/512	negative	1273609/2097152	1/8
M=8, N=7, p=1/8	6→7	1/8	15/64	0	7/64	-7/64	negative	1273609/2097152	1/8
M=8, N=7, p=1/5	1→2	1/5	61741/78125	0	4096/78125	-4096/78125	negative	61741/78125	71740127/262609375
M=8, N=7, p=1/5	2→3	1/5	11529/15625	3072/546875	1024/15625	-32768/546875	negative	61741/78125	71740127/262609375
M=8, N=7, p=1/5	3→4	187/875	370747/546875	36864/3828125	44032/546875	-54272/765625	negative	61741/78125	71740127/262609375
M=8, N=7, p=1/5	4→5	7121/30625	2323869/3828125	292608/26796875	376064/3828125	-467968/5359375	negative	61741/78125	71740127/262609375
M=8, N=7, p=1/5	5→6	267523/1071875	13927243/26796875	78336/7503125	3217408/26796875	-20563456/187578125	negative	61741/78125	71740127/262609375
M=8, N=7, p=1/5	6→7	1970581/7503125	15385449/37515625	2769792/262609375	5532544/37515625	-35958016/262609375	negative	61741/78125	71740127/262609375
M=8, N=7, p=1/4	1→2	1/4	14197/16384	0	729/16384	-729/16384	negative	14197/16384	6590377/17210368
M=8, N=7, p=1/4	2→3	1/4	3367/4096	243/28672	243/4096	-729/14336	negative	14197/16384	6590377/17210368
M=8, N=7, p=1/4	3→4	31/112	22111/28672	729/50176	2187/28672	-12393/200704	negative	14197/16384	6590377/17210368
M=8, N=7, p=1/4	4→5	61/196	8899/12544	23571/1404928	1215/12544	-112509/1404928	negative	14197/16384	6590377/17210368
M=8, N=7, p=1/4	5→6	29947/87808	884179/1404928	83835/4917248	173583/1404928	-1047411/9834496	negative	14197/16384	6590377/17210368
M=8, N=7, p=1/4	6→7	447203/1229312	2570921/4917248	329535/17210368	782109/4917248	-4815693/34420736	negative	14197/16384	6590377/17210368
M=8, N=7, p=1/3	1→2	1/3	2059/2187	0	64/2187	-64/2187	negative	2059/2187	20692573/36756909
M=8, N=7, p=1/3	2→3	1/3	665/729	160/15309	32/729	-512/15309	negative	2059/2187	20692573/36756909
M=8, N=7, p=1/3	3→4	73/189	13453/15309	640/35721	928/15309	-4576/107163	negative	2059/2187	20692573/36756909
M=8, N=7, p=1/3	4→5	197/441	9955/11907	5360/250047	976/11907	-15136/250047	negative	2059/2187	20692573/36756909
M=8, N=7, p=1/3	5→6	13751/27783	193919/250047	42400/1750329	28064/250047	-154048/1750329	negative	2059/2187	20692573/36756909
M=8, N=7, p=1/3	6→7	309971/583443	1203385/1750329	1164400/36756909	273472/1750329	-4578512/36756909	negative	2059/2187	20692573/36756909
M=8, N=7, p=2/5	1→2	2/5	75938/78125	0	1458/78125	-1458/78125	negative	75938/78125	181379416/262609375
M=8, N=7, p=2/5	2→3	2/5	14896/15625	5346/546875	486/15625	-11664/546875	negative	75938/78125	181379416/262609375
M=8, N=7, p=2/5	3→4	416/875	509696/546875	64152/3828125	24786/546875	-4374/153125	negative	75938/78125	181379416/262609375
M=8, N=7, p=2/5	4→5	16936/30625	3458522/3828125	555984/26796875	246402/3828125	-233766/5359375	negative	75938/78125	181379416/262609375
M=8, N=7, p=2/5	5→6	654536/1071875	23040824/26796875	192456/7503125	2504034/26796875	-12716838/187578125	negative	75938/78125	181379416/262609375
M=8, N=7, p=2/5	6→7	4902512/7503125	29713786/37515625	9791496/262609375	5201226/37515625	-26617086/262609375	negative	75938/78125	181379416/262609375
M=8, N=7, p=1/2	1→2	1/2	127/128	0	1/128	-1/128	negative	127/128	112843/134456
M=8, N=7, p=1/2	2→3	1/2	63/64	3/448	1/64	-1/112	negative	127/128	112843/134456
M=8, N=7, p=1/2	3→4	17/28	437/448	9/784	11/448	-41/3136	negative	127/128	112843/134456
M=8, N=7, p=1/2	4→5	137/196	1509/1568	333/21952	59/1568	-493/21952	negative	127/128	112843/134456
M=8, N=7, p=1/2	5→6	4169/5488	20633/21952	1665/76832	1319/21952	-5903/153664	negative	127/128	112843/134456
M=8, N=7, p=1/2	6→7	1928/2401	4329/4802	4875/134456	473/4802	-8369/134456	negative	127/128	112843/134456
M=8, N=7, p=2/3	1→2	2/3	2186/2187	0	2/2187	-2/2187	negative	2186/2187	35568776/36756909
M=8, N=7, p=2/3	2→3	2/3	728/729	26/15309	2/729	-16/15309	negative	2186/2187	35568776/36756909
M=8, N=7, p=2/3	3→4	152/189	15272/15309	104/35721	74/15309	-206/107163	negative	2186/2187	35568776/36756909
M=8, N=7, p=2/3	4→5	1168/1323	35566/35721	1144/250047	310/35721	-38/9261	negative	2186/2187	35568776/36756909
M=8, N=7, p=2/3	5→6	25672/27783	247936/250047	15080/1750329	4222/250047	-14474/1750329	negative	2186/2187	35568776/36756909
M=8, N=7, p=2/3	6→7	554192/583443	1721078/1750329	654680/36756909	58502/1750329	-573862/36756909	negative	2186/2187	35568776/36756909
M=8, N=7, p=3/4	1→2	3/4	16383/16384	0	3/16384	-3/16384	negative	16383/16384	17043021/17210368
M=8, N=7, p=3/4	2→3	3/4	4095/4096	15/28672	3/4096	-3/14336	negative	16383/16384	17043021/17210368
M=8, N=7, p=3/4	3→4	99/112	28659/28672	45/50176	39/28672	-93/200704	negative	16383/16384	17043021/17210368
M=8, N=7, p=3/4	4→5	369/392	25065/25088	2295/1404928	69/25088	-1569/1404928	negative	16383/16384	17043021/17210368
M=8, N=7, p=3/4	5→6	84951/87808	1402071/1404928	17775/4917248	8571/1404928	-24447/9834496	negative	16383/16384	17043021/17210368
M=8, N=7, p=3/4	6→7	1207089/1229312	4895025/4917248	143775/17210368	66669/4917248	-179133/34420736	negative	16383/16384	17043021/17210368
M=8, N=7, p=5/6	1→2	5/6	279935/279936	0	5/279936	-5/279936	negative	279935/279936	293546975/294055272
M=8, N=7, p=5/6	2→3	5/6	46655/46656	85/979776	5/46656	-5/244944	negative	279935/279936	293546975/294055272
M=8, N=7, p=5/6	3→4	715/756	979735/979776	85/571536	205/979776	-415/6858432	negative	279935/279936	293546975/294055272
M=8, N=7, p=5/6	4→5	575/588	126995/127008	5525/16003008	65/127008	-2665/16003008	negative	279935/279936	293546975/294055272
M=8, N=7, p=5/6	5→6	440225/444528	15998705/16003008	51425/56010528	21515/16003008	-47755/112021056	negative	279935/279936	293546975/294055272
M=8, N=7, p=5/6	6→7	4648075/4667544	27985795/28005264	359125/147027636	97345/28005264	-607745/588110544	negative	279935/279936	293546975/294055272
M=8, N=7, p=9/10	1→2	9/10	9999999/10000000	0	9/10000000	-9/10000000	negative	9999999/10000000	2100466323/2100875000
M=8, N=7, p=9/10	2→3	9/10	999999/1000000	279/35000000	9/1000000	-9/8750000	negative	9999999/10000000	2100466323/2100875000
M=8, N=7, p=9/10	3→4	3429/3500	34999929/35000000	837/61250000	639/35000000	-9/1960000	negative	9999999/10000000	2100466323/2100875000
M=8, N=7, p=9/10	4→5	121689/122500	122499189/122500000	77841/1715000000	7299/122500000	-4869/343000000	negative	9999999/10000000	2100466323/2100875000
M=8, N=7, p=9/10	5→6	17114301/17150000	1714964301/1715000000	34317/240100000	321291/1715000000	-533187/12005000000	negative	9999999/10000000	2100466323/2100875000
M=8, N=7, p=9/10	6→7	29992923/30012500	300105423/300125000	961713/2100875000	176193/300125000	-135819/1050437500	negative	9999999/10000000	2100466323/2100875000
M=8, N=7, p=19/20	1→2	19/20	1279999999/1280000000	0	19/1280000000	-19/1280000000	negative	1279999999/1280000000	268909204133/268912000000
M=8, N=7, p=19/20	2→3	19/20	63999999/64000000	627/2240000000	19/64000000	-19/1120000000	negative	1279999999/1280000000	268909204133/268912000000
M=8, N=7, p=19/20	3→4	13927/14000	2239999927/2240000000	1881/3920000000	1387/2240000000	-437/3136000000	negative	1279999999/1280000000	268909204133/268912000000
M=8, N=7, p=19/20	4→5	244663/245000	1959999663/1960000000	306603/109760000000	6403/1960000000	-10393/21952000000	negative	1279999999/1280000000	268909204133/268912000000
M=8, N=7, p=19/20	5→6	274329163/274400000	109759929163/109760000000	156123/15366400000	1345903/109760000000	-1615171/768320000000	negative	1279999999/1280000000	268909204133/268912000000
M=8, N=7, p=19/20	6→7	3841388897/3841600000	76831788897/76832000000	11981343/268912000000	4010957/76832000000	-4114013/537824000000	negative	1279999999/1280000000	268909204133/268912000000
M=8, N=7, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=7, p=1	2→3	1	1	0	0	0	zero	1	1
M=8, N=7, p=1	3→4	1	1	0	0	0	zero	1	1
M=8, N=7, p=1	4→5	1	1	0	0	0	zero	1	1
M=8, N=7, p=1	5→6	1	1	0	0	0	zero	1	1
M=8, N=7, p=1	6→7	1	1	0	0	0	zero	1	1
M=8, N=8, p=1/8	1→2	1/8	11012415/16777216	0	823543/16777216	-823543/16777216	negative	11012415/16777216	1/8
M=8, N=8, p=1/8	2→3	1/8	1273609/2097152	0	117649/2097152	-117649/2097152	negative	11012415/16777216	1/8
M=8, N=8, p=1/8	3→4	1/8	144495/262144	0	16807/262144	-16807/262144	negative	11012415/16777216	1/8
M=8, N=8, p=1/8	4→5	1/8	15961/32768	0	2401/32768	-2401/32768	negative	11012415/16777216	1/8
M=8, N=8, p=1/8	5→6	1/8	1695/4096	0	343/4096	-343/4096	negative	11012415/16777216	1/8
M=8, N=8, p=1/8	6→7	1/8	169/512	0	49/512	-49/512	negative	11012415/16777216	1/8
M=8, N=8, p=1/8	7→8	1/8	15/64	0	7/64	-7/64	negative	11012415/16777216	1/8
M=8, N=8, p=1/5	1→2	1/5	325089/390625	0	16384/390625	-16384/390625	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/5	2→3	1/5	61741/78125	12288/2734375	4096/78125	-131072/2734375	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/5	3→4	187/875	2029863/2734375	147456/19140625	176128/2734375	-217088/3828125	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/5	4→5	7121/30625	13123601/19140625	1170432/133984375	1504256/19140625	-1871872/26796875	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/5	5→6	267523/1071875	82505847/133984375	313344/37515625	12869632/133984375	-82253824/937890625	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/5	6→7	1970581/7503125	99057421/187578125	11079168/1313046875	22130176/187578125	-143832064/1313046875	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/5	7→8	71740127/262609375	549569883/1313046875	19012608/1838265625	190869248/1313046875	-1241021696/9191328125	negative	325089/390625	521193497/1838265625
M=8, N=8, p=1/4	1→2	1/4	58975/65536	0	2187/65536	-2187/65536	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/4	2→3	1/4	14197/16384	729/114688	729/16384	-2187/57344	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/4	3→4	31/112	95005/114688	2187/200704	6561/114688	-37179/802816	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/4	4→5	61/196	39241/50176	70713/5619712	3645/50176	-337527/5619712	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/4	5→6	29947/87808	4057465/5619712	251505/19668992	520749/5619712	-3142233/39337984	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/4	6→7	447203/1229312	12630011/19668992	988605/68841472	2346327/19668992	-14447079/137682944	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/4	7→8	6590377/17210368	36981499/68841472	4620645/240945152	10619991/68841472	-65098647/481890304	negative	58975/65536	96885923/240945152
M=8, N=8, p=1/3	1→2	1/3	6305/6561	0	128/6561	-128/6561	negative	6305/6561	152913611/257298363
M=8, N=8, p=1/3	2→3	1/3	2059/2187	320/45927	64/2187	-1024/45927	negative	6305/6561	152913611/257298363
M=8, N=8, p=1/3	3→4	73/189	42215/45927	1280/107163	1856/45927	-9152/321489	negative	6305/6561	152913611/257298363
M=8, N=8, p=1/3	4→5	197/441	31817/35721	10720/750141	1952/35721	-30272/750141	negative	6305/6561	152913611/257298363
M=8, N=8, p=1/3	5→6	13751/27783	637885/750141	84800/5250987	56128/750141	-308096/5250987	negative	6305/6561	152913611/257298363
M=8, N=8, p=1/3	6→7	309971/583443	4157099/5250987	2328800/110270727	546944/5250987	-9157024/110270727	negative	6305/6561	152913611/257298363
M=8, N=8, p=1/3	7→8	20692573/36756909	78142055/110270727	8065600/257298363	16064336/110270727	-88253552/771895089	negative	6305/6561	152913611/257298363
M=8, N=8, p=2/5	1→2	2/5	384064/390625	0	4374/390625	-4374/390625	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=2/5	2→3	2/5	75938/78125	16038/2734375	1458/78125	-34992/2734375	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=2/5	3→4	416/875	2622838/2734375	192456/19140625	74358/2734375	-13122/765625	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=2/5	4→5	16936/30625	18031816/19140625	1667952/133984375	739206/19140625	-701298/26796875	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=2/5	5→6	654536/1071875	122716222/133984375	577368/37515625	7512102/133984375	-38150514/937890625	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=2/5	6→7	4902512/7503125	164172608/187578125	29374488/1313046875	15603678/187578125	-79851258/1313046875	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=2/5	7→8	181379416/262609375	1069356998/1313046875	2608848/73530625	162459918/1313046875	-811113426/9191328125	negative	384064/390625	1334877112/1838265625
M=8, N=8, p=1/2	1→2	1/2	255/256	0	1/256	-1/256	negative	255/256	102422/117649
M=8, N=8, p=1/2	2→3	1/2	127/128	3/896	1/128	-1/224	negative	255/256	102422/117649
M=8, N=8, p=1/2	3→4	17/28	885/896	9/1568	11/896	-41/6272	negative	255/256	102422/117649
M=8, N=8, p=1/2	4→5	137/196	3077/3136	333/43904	59/3136	-493/43904	negative	255/256	102422/117649
M=8, N=8, p=1/2	5→6	4169/5488	42585/43904	1665/153664	1319/43904	-5903/307328	negative	255/256	102422/117649
M=8, N=8, p=1/2	6→7	1928/2401	9131/9604	4875/268912	473/9604	-8369/268912	negative	255/256	102422/117649
M=8, N=8, p=1/2	7→8	112843/134456	247299/268912	29475/941192	21613/268912	-92341/1882384	negative	255/256	102422/117649
M=8, N=8, p=2/3	1→2	2/3	6560/6561	0	2/6561	-2/6561	negative	6560/6561	84008504/85766121
M=8, N=8, p=2/3	2→3	2/3	2186/2187	26/45927	2/2187	-16/45927	negative	6560/6561	84008504/85766121
M=8, N=8, p=2/3	3→4	152/189	45890/45927	104/107163	74/45927	-206/321489	negative	6560/6561	84008504/85766121
M=8, N=8, p=2/3	4→5	1168/1323	107008/107163	1144/750141	310/107163	-38/27783	negative	6560/6561	84008504/85766121
M=8, N=8, p=2/3	5→6	25672/27783	748030/750141	15080/5250987	4222/750141	-14474/5250987	negative	6560/6561	84008504/85766121
M=8, N=8, p=2/3	6→7	554192/583443	5221736/5250987	654680/110270727	58502/5250987	-573862/110270727	negative	6560/6561	84008504/85766121
M=8, N=8, p=2/3	7→8	35568776/36756909	109082594/110270727	3044080/257298363	2376266/110270727	-7501622/771895089	negative	6560/6561	84008504/85766121
M=8, N=8, p=3/4	1→2	3/4	65535/65536	0	3/65536	-3/65536	negative	65535/65536	239701869/240945152
M=8, N=8, p=3/4	2→3	3/4	16383/16384	15/114688	3/16384	-3/57344	negative	65535/65536	239701869/240945152
M=8, N=8, p=3/4	3→4	99/112	114675/114688	45/200704	39/114688	-93/802816	negative	65535/65536	239701869/240945152
M=8, N=8, p=3/4	4→5	369/392	100329/100352	2295/5619712	69/100352	-1569/5619712	negative	65535/65536	239701869/240945152
M=8, N=8, p=3/4	5→6	84951/87808	5616855/5619712	17775/19668992	8571/5619712	-24447/39337984	negative	65535/65536	239701869/240945152
M=8, N=8, p=3/4	6→7	1207089/1229312	19646769/19668992	143775/68841472	66669/19668992	-179133/137682944	negative	65535/65536	239701869/240945152
M=8, N=8, p=3/4	7→8	17043021/17210368	68674125/68841472	1099575/240945152	502041/68841472	-1315137/481890304	negative	65535/65536	239701869/240945152
M=8, N=8, p=5/6	1→2	5/6	1679615/1679616	0	5/1679616	-5/1679616	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=5/6	2→3	5/6	279935/279936	85/5878656	5/279936	-5/1469664	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=5/6	3→4	715/756	5878615/5878656	85/3429216	205/5878656	-415/41150592	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=5/6	4→5	575/588	762035/762048	5525/96018048	65/762048	-2665/96018048	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=5/6	5→6	440225/444528	96013745/96018048	51425/336063168	21515/96018048	-47755/672126336	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=5/6	6→7	4648075/4667544	168012115/168031584	359125/882165816	97345/168031584	-607745/3528663264	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=5/6	7→8	293546975/294055272	1763823335/1764331632	1045075/1029193452	2541485/1764331632	-5249495/12350321424	negative	1679615/1679616	2056918975/2058386904
M=8, N=8, p=9/10	1→2	9/10	99999999/100000000	0	9/100000000	-9/100000000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=9/10	2→3	9/10	9999999/10000000	279/350000000	9/10000000	-9/87500000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=9/10	3→4	3429/3500	349999929/350000000	837/612500000	639/350000000	-9/19600000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=9/10	4→5	121689/122500	1224999189/1225000000	77841/17150000000	7299/1225000000	-4869/3430000000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=9/10	5→6	17114301/17150000	17149964301/17150000000	34317/2401000000	321291/17150000000	-533187/120050000000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=9/10	6→7	29992923/30012500	3001230423/3001250000	961713/21008750000	176193/3001250000	-135819/10504375000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=9/10	7→8	2100466323/2100875000	21008341323/21008750000	399249/2941225000	3678093/21008750000	-5784201/147061250000	negative	99999999/100000000	7352630253/7353062500
M=8, N=8, p=19/20	1→2	19/20	25599999999/25600000000	0	19/25600000000	-19/25600000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=19/20	2→3	19/20	1279999999/1280000000	627/44800000000	19/1280000000	-19/22400000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=19/20	3→4	13927/14000	44799999927/44800000000	1881/78400000000	1387/44800000000	-437/62720000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=19/20	4→5	244663/245000	39199999663/39200000000	306603/2195200000000	6403/39200000000	-10393/439040000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=19/20	5→6	274329163/274400000	2195199929163/2195200000000	156123/307328000000	1345903/2195200000000	-1615171/15366400000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=19/20	6→7	3841388897/3841600000	1536639788897/1536640000000	11981343/5378240000000	4010957/1536640000000	-4114013/10756480000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=19/20	7→8	268909204133/268912000000	5378237204133/5378240000000	31185099/3764768000000	53121473/5378240000000	-59999321/37647680000000	negative	25599999999/25600000000	3764760042961/3764768000000
M=8, N=8, p=1	1→2	1	1	0	0	0	zero	1	1
M=8, N=8, p=1	2→3	1	1	0	0	0	zero	1	1
M=8, N=8, p=1	3→4	1	1	0	0	0	zero	1	1
M=8, N=8, p=1	4→5	1	1	0	0	0	zero	1	1
M=8, N=8, p=1	5→6	1	1	0	0	0	zero	1	1
M=8, N=8, p=1	6→7	1	1	0	0	0	zero	1	1
M=8, N=8, p=1	7→8	1	1	0	0	0	zero	1	1
Noisy point (accuracy 1/2)	1→2	1/2	7/8	0	1/8	-1/8	negative	7/8	7/12
Noisy point (accuracy 1/2)	2→3	1/2	3/4	1/12	1/4	-1/6	negative	7/8	7/12
Noisy shortlist (accuracy 3/8)	1→2	3/8	387/512	5/64	75/512	-35/512	negative	387/512	35/64
Noisy shortlist (accuracy 3/8)	2→3	1/2	11/16	3/64	3/16	-9/64	negative	387/512	35/64
Guaranteed shortlist (accuracy 1/2)	1→2	1/2	7/8	1/6	1/8	1/24	positive	7/8	17/18
Guaranteed shortlist (accuracy 1/2)	2→3	5/6	11/12	1/9	1/12	1/36	positive	7/8	17/18
Explicit exclusion (accuracy 1/3)	1→2	1/3	19/27	2/27	4/27	-2/27	negative	19/27	16/27
Explicit exclusion (accuracy 1/3)	2→3	4/9	17/27	4/27	5/27	-1/27	negative	19/27	16/27
Confidence point (accuracy 5/8)	1→2	5/8	485/512	3/128	45/512	-33/512	negative	485/512	295/384
Confidence point (accuracy 5/8)	2→3	11/16	113/128	31/384	25/128	-11/96	negative	485/512	295/384

Evidence boundary and data

These controls select and decompose exact rows from DD-020; they do not recompute the study, interpolate, or change claim status. Marginal aggregation gain and lost rescue are the two exact contributions in the registered adjacent-difference identity.

DD-C-0092 · DD-C-0094 · DD-C-0095 · DD-C-0096 · 20260722T142551Z_DD-020_3854fff6_37c11a850a

Download the full 2,555-row point census · Download the five channel profiles · Download the Lab transition data

The registered identity

Exact discovery profile

Canonical exact point profile

Registered channel comparison

Evidence boundary and data

Related evidence

Program / theorem family

Studies used

Findings

Papers

Claims

Evidence runs

Public data