Power Mega Balls with Three Sum Math

Native American Eagle Sun

MN
United States
Member #21
December 7, 2001
4,811 Posts
Offline

May 17, 2015, 1:08 pm

We've been working on applying the concept of Sums to other lottery types and in a different way.

The Sum is a math process that adds the numbers in a lottery game like Pick 3 to come up with a total or sum of the numbers.

As an example, if the following are some Pick 3 combinations:

Draw	A	B	C
1	0	5	9
2	7	9	1
3	8	8	8
4	2	3	1

then their sums are as follows:

Draw	A	+	B	+	C	=	Sum
1	0	+	5	+	9	=	14
2	7	+	9	+	1	=	17
3	8	+	8	+	8	=	24
4	2	+	3	+	1	=	6

Now, that's pretty simple and it's what we would call an Inline Sum; meaning it is inline with the combination.

The Inline Sum is in this direction:

Draw	A	→	B	→	C	→	Sum
1	0	→	5	→	9	→	14
2	7	→	9	→	1	→	17
3	8	→	8	→	8	→	24
4	2	→	3	→	1	→	6

There is another way to sum these numbers and it is what we call Insequence; meaning it sums the numbers in a column of the combination as they are drawn.

The Insequence Sum is in this direction:

Draw	A	B	C
1	0	5	9
↓	↓	↓	↓
2	7	9	1
↓	↓	↓	↓
3	8	8	8
↓	↓	↓	↓
Sum	15	22	18

Then moving down the draws the next Insequence Sum is:

Draw	A	B	C
2	7	9	1
↓	↓	↓	↓
3	8	8	8
↓	↓	↓	↓
4	2	3	1
↓	↓	↓	↓
Sum	17	20	10

This Insequence Sum of the Pick 3 numbers follows the same distribution of sums as the Inline Sum.

Below the range of sums and the total count for each sum is shown:

Sum	Count
0	1
1	3
2	6
3	10
4	15
5	21
6	28
7	36
8	45
9	55
10	63
11	69
12	73
13	75
14	75
15	73
16	69
17	63
18	55
19	45
20	36
21	28
22	21
23	15
24	10
25	6
26	3
27	1

We're only going over the introduction of concept of Insequnce Sums right now.

Next we will get into the application to games like Powerball and Mega Millions.

Continues...

The One Over None
I Know...

JADELottery

Native American Eagle Sun

MN
United States
Member #21
December 7, 2001
4,811 Posts
Offline

May 17, 2015, 1:43 pm

We began to think about an application of the Insequence Sums to the Powerball and Mega Millions games.

This will have an interesting way of helping to pick the next set of numbers using only 2 previous draws.

First, let's look at the Insequence Sums for Mega Millions.

The last 3 draws as of 2015-05-17 are below:

Year	Month	Day	A	B	C	D	E	MB
2015	5	8	9	21	25	66	72	7
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15

We can use the Insequence Sum to get a sum for each column.

Year	Month	Day	A	B	C	D	E	MB
2015	5	8	9	21	25	66	72	7
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15
-	-	Sum	34	68	79	138	190	24

This is just one example of an Insequence Sum.

Like the Insequence Sum for Pick 3, there is a Sum and Count or Frequency Distribution of the sums in each column.

Below are the Insequence Sum Distributions for just the Powerball and Mega Ball numbers.

Powerball		Mega Ball
Sum	Count	Sum	Count
3	1	3	1
4	3	4	3
5	6	5	6
6	10	6	10
7	15	7	15
8	21	8	21
9	28	9	28
10	36	10	36
11	45	11	45
12	55	12	55
13	66	13	66
14	78	14	78
15	91	15	91
16	105	16	105
17	120	17	120
18	136	18	133
19	153	19	144
20	171	20	153
21	190	21	160
22	210	22	165
23	231	23	168
24	253	24	169
25	276	25	168
26	300	26	165
27	325	27	160
28	351	28	153
29	378	29	144
30	406	30	133
31	435	31	120
32	465	32	105
33	496	33	91
34	528	34	78
35	561	35	66
36	595	36	55
37	630	37	45
38	663	38	36
39	694	39	28
40	723	40	21
41	750	41	15
42	775	42	10
43	798	43	6
44	819	44	3
45	838	45	1
46	855	-	-
47	870	-	-
48	883	-	-
49	894	-	-
50	903	-	-
51	910	-	-
52	915	-	-
53	918	-	-
54	919	-	-
55	918	-	-
56	915	-	-
57	910	-	-
58	903	-	-
59	894	-	-
60	883	-	-
61	870	-	-
62	855	-	-
63	838	-	-
64	819	-	-
65	798	-	-
66	775	-	-
67	750	-	-
68	723	-	-
69	694	-	-
70	663	-	-
71	630	-	-
72	595	-	-
73	561	-	-
74	528	-	-
75	496	-	-
76	465	-	-
77	435	-	-
78	406	-	-
79	378	-	-
80	351	-	-
81	325	-	-
82	300	-	-
83	276	-	-
84	253	-	-
85	231	-	-
86	210	-	-
87	190	-	-
88	171	-	-
89	153	-	-
90	136	-	-
91	120	-	-
92	105	-	-
93	91	-	-
94	78	-	-
95	66	-	-
96	55	-	-
97	45	-	-
98	36	-	-
99	28	-	-
100	21	-	-
101	15	-	-
102	10	-	-
103	6	-	-
104	3	-	-
105	1	-	-

Continues...

The One Over None
I Know...

JADELottery

Native American Eagle Sun

MN
United States
Member #21
December 7, 2001
4,811 Posts
Offline

May 17, 2015, 2:22 pm

Next we found the distribution of the Insequence Sums for the individual columns A to E for both Powerball and Mega Millions.

These counts are huge and later we will look at a different way of looking at this huge set of counts.

Below are the Insequence Sums for Powerball:

Powerball
Sum	A	B	C	D	E
3	76370735308483000	-	-	-	-
4	213311364137487000	-	-	-	-
5	396942381177804000	-	-	-	-
6	615136159234327000	25050878776000	-	-	-
7	857359101540873000	142394468832000	-	-	-
8	1114524765212210000	471949336782000	-	-	-
9	1378857345152210000	1191270066940800	3652264000	-	-
10	1643764935530890000	2535988382904900	31696434000	-	-
11	1903722012701900000	4796633746119600	152780928300	-	-
12	2154160609186790000	8312628678683510	539896261575	166375	-
13	2391369673133680000	13464159524383900	1560559327470	1960200	-
14	2612402131495640000	20662536258785200	3908221788240	12507990	-
15	2814989198097260000	30339574874399500	8781248296806	57294096	1
16	2997461489794500000	42936462405091100	18114327990765	210861615	15
17	3158676535111260000	58892497435234600	34865441667720	662130720	120
18	3297952280082490000	78634037599464700	63359593434640	1840672280	680
19	3415006215574880000	102563929768750000	109688506166880	4643268480	3060
20	3509899769117610000	131051648003151000	182163442685418	10816755138	11628
21	3582987622282150000	164424318610227000	291816308678460	23573806160	38760
22	3634871631926710000	202958770473589000	452942270718480	48543237180	116280
23	3666359050190350000	246874711914814000	683675327556540	95185722720	319770
24	3678424754007950000	296329102442962000	1006586642619030	178839579930	817190
25	3672177210142570000	351411758560998000	1449294011259340	323599394976	1961256
26	3648827916317860000	412142207081281000	2045069622806400	566272553400	4457400
27	3609664073001400000	478467776908622000	2833432304214700	961704851200	9657700
28	3556024253762060000	550262900746147000	3860709713411630	1589815843425	20058300
29	3489276854918940000	627329581444530000	5180555495756250	2564736831000	40116600
30	3410801117438180000	709398963537774000	6854406231490560	4046498658210	77558760
31	3321970525734240000	796133938687795000	8951863086796050	6255771922800	145422675
32	3224138399213770000	887132704104880000	11550983433529300	9492217787025	265182525
33	3118625503081040000	981933185340390000	14738468317052400	14157062193600	471435600
34	3006709515121420000	1080018228990330000	18609732518968800	20780558686800	818809200
35	2889616194910870000	1180821466640790000	23268845070519800	30055053853440	1391975640
36	2768512111181850000	1283733748674940000	28828329409029700	42874413162900	2319959400
37	2644498791925130000	1388110045201140000	35408813918153400	60380602135200	3796297200
38	2518608170238790000	1493276711214520000	43138525335037900	84018246651000	6107086800
39	2391799206966430000	1598539014042520000	52152619424555600	115598015112640	9669554100
40	2264955578808210000	1703188823024230000	62592345391931700	157369672284516	15084504396
41	2138884327860310000	1806512364121670000	74604042708729900	212105648149440	23206929840
42	2014315375448780000	1907797945649370000	88337971340830200	283195943146320	35240152720
43	1891901809691620000	2006343565437080000	103946978767663000	374755151815680	52860229080
44	1772220862457530000	2101464314413980000	121585009646082000	491742328282155	78378960360
45	1655775497306680000	2192499496735120000	141405466476229000	640094337269288	114955808528
46	1542996535608120000	2278819392077940000	163559432146754000	826873231624110	166871334960
47	1434245253345060000	2359831591544850000	188193767749433000	1060428069827280	239877544005
48	1329816386151380000	2434986844644250000	215449101535085000	1350571432945000	341643774795
49	1229941484885500000	2503784361023950000	245457727311140000	1708770718291680	482320623240
50	1134792568548590000	2565776516935410000	278341432933916000	2148354075170860	675248872536
51	1044486025607010000	2620572922761180000	314209281804197000	2684730605020800	937845656300
52	959086718791041000	2667843814289620000	353155372412475000	3335624172828150	1292706174900
53	878612252226235000	2707322736724620000	395256602980481000	4121319867663600	1768966344600
54	803037363317546000	2738808496631570000	440570470089862000	5064921806696500	2403979904200
55	732298405160661000	2762166363106920000	489132931859620000	6192620598316320	3245372870670
56	666297888407823000	2777328505382130000	540956367714921000	7533968365504350	4353548972850
57	604909054476298000	2784293659805010000	596027668066399000	9122158780072800	5804731963800
58	547980454764493000	2783126024653660000	654306488277473000	10994309071792200	7694644696200
59	495340513142166000	2773953386508450000	715723702125497000	13191740454009600	10142940735900
60	446802051415041000	2756964486914650000	780180090550310000	15760252849662400	13298522298180
61	402166759737852000	2732405642794700000	847545301821740000	18750389209471800	17345898649800
62	361229056056120000	2700576638501080000	917657119338717000	22217684088742700	22512762077400
63	323779395132871000	2661825911525440000	990321073090803000	26222890492138800	29078984349975
64	289607083065223000	2616545209225730000	1065310430364200000	30832178308944100	37387265592825
65	258502648823216000	2565163875789720000	1142366600555960000	36117296946942300	47855699958816
66	230259820236280000	2508142911405650000	1221199975798180000	42155694033828600	60992558771040
67	204677147999149000	2445968929266010000	1301491217011420000	49030581294097900	77413632286320
68	181559317656689000	2379148120590830000	1382892983999450000	56830938225162300	97862516286480
69	160718186144583000	2308200323317880000	1465032098255940000	65651443981140600	123234279768160
70	141973576298856000	2233653276466680000	1547512118268160000	75592327917521800	154603004161950
71	125153859791252000	2156037129430600000	1629916299256560000	86759129545006800	193253741792475
72	110096356189099000	2075879263576050000	1711810902465770000	99262359175613300	240719500649075
73	96647573267503300	1993699472515260000	1792748813299970000	113217051306954000	298823922856200
74	84663311309128100	1910005537254960000	1872273422750340000	128742203768860000	369730384322250
75	74008651903069600	1825289223084690000	1949922722666540000	145960096836640000	455998301634582
76	64557849690669600	1740022716539520000	2025233562448860000	164995487882642000	560647488002700
77	56194143594004800	1654655513026330000	2097746012648980000	185974678676806000	687231451489800
78	48809502294107000	1569611758718020000	2167007779730490000	209024454141025000	839920574381900
79	42304317092796000	1485288044069750000	2232578615817080000	234270893193624000	1023596150694980
80	36587053786907600	1402051640768980000	2294034667606590000	261838054270689000	1243956287784840
81	31573873799370300	1320239169067470000	2350972709708420000	291846540160450000	1507634695968160
82	27188233541143900	1240155678230510000	2403014209428580000	324411948915141000	1822333395042780
83	23360469814821500	1162074119245170000	2449809172429520000	359643219789738000	2196970356553620
84	20027378008335000	1086235185925850000	2491039721685640000	397640885376502000	2641843073410440
85	17131788859618200	1012847498108930000	2526423365686700000	438495243334619000	3168809001723840
86	14622148694417700	942088098708486000	2555715915860050000	482284463330879000	3791483751055650
87	12452107244102400	874103234979003000	2578714017632480000	529072646985275000	4525457806113080
88	10580116432984100	809009393366510000	2595257264381430000	578907860728085000	5388532442546180
89	8969042880201690	746894556794328000	2605229868673860000	631820163495445000	6400975349082600
90	7585796284746970	687819653091168000	2608561870605670000	687819653091169000	7585796284746970
91	6400975349082600	631820163495445000	2605229868673860000	746894556794328000	8969042880201690
92	5388532442546180	578907860728084000	2595257264381430000	809009393366510000	10580116432984100
93	4525457806113080	529072646985275000	2578714017632490000	874103234979003000	12452107244102400
94	3791483751055650	482284463330880000	2555715915860050000	942088098708486000	14622148694417700
95	3168809001723840	438495243334619000	2526423365686700000	1012847498108930000	17131788859618200
96	2641843073410440	397640885376502000	2491039721685640000	1086235185925850000	20027378008335000
97	2196970356553620	359643219789739000	2449809172429530000	1162074119245170000	23360469814821500
98	1822333395042780	324411948915141000	2403014209428570000	1240155678230510000	27188233541144000
99	1507634695968160	291846540160450000	2350972709708420000	1320239169067470000	31573873799370400
100	1243956287784840	261838054270689000	2294034667606580000	1402051640768980000	36587053786907600
101	1023596150694980	234270893193623000	2232578615817090000	1485288044069750000	42304317092796000
102	839920574381900	209024454141025000	2167007779730480000	1569611758718020000	48809502294106700
103	687231451489800	185974678676806000	2097746012648980000	1654655513026330000	56194143594004700
104	560647488002700	164995487882642000	2025233562448860000	1740022716539510000	64557849690669900
105	455998301634582	145960096836640000	1949922722666540000	1825289223084690000	74008651903070000
106	369730384322250	128742203768860000	1872273422750340000	1910005537254960000	84663311309128000
107	298823922856200	113217051306954000	1792748813299970000	1993699472515260000	96647573267503500
108	240719500649075	99262359175613300	1711810902465780000	2075879263576050000	110096356189099000
109	193253741792475	86759129545006800	1629916299256570000	2156037129430600000	125153859791252000
110	154603004161950	75592327917521900	1547512118268160000	2233653276466670000	141973576298856000
111	123234279768160	65651443981140600	1465032098255940000	2308200323317880000	160718186144583000
112	97862516286480	56830938225162300	1382892983999450000	2379148120590830000	181559317656689000
113	77413632286320	49030581294097900	1301491217011420000	2445968929266010000	204677147999149000
114	60992558771040	42155694033828600	1221199975798180000	2508142911405650000	230259820236280000
115	47855699958816	36117296946942300	1142366600555960000	2565163875789720000	258502648823216000
116	37387265592825	30832178308944100	1065310430364200000	2616545209225740000	289607083065223000
117	29078984349975	26222890492138800	990321073090806000	2661825911525440000	323779395132871000
118	22512762077400	22217684088742600	917657119338718000	2700576638501080000	361229056056119000
119	17345898649800	18750389209471800	847545301821741000	2732405642794690000	402166759737852000
120	13298522298180	15760252849662500	780180090550310000	2756964486914650000	446802051415040000
121	10142940735900	13191740454009600	715723702125498000	2773953386508450000	495340513142165000
122	7694644696200	10994309071792200	654306488277471000	2783126024653670000	547980454764492000
123	5804731963800	9122158780072800	596027668066398000	2784293659805010000	604909054476297000
124	4353548972850	7533968365504350	540956367714921000	2777328505382130000	666297888407820000
125	3245372870670	6192620598316320	489132931859620000	2762166363106920000	732298405160661000
126	2403979904200	5064921806696500	440570470089863000	2738808496631570000	803037363317547000
127	1768966344600	4121319867663600	395256602980481000	2707322736724620000	878612252226235000
128	1292706174900	3335624172828150	353155372412475000	2667843814289620000	959086718791041000
129	937845656300	2684730605020800	314209281804197000	2620572922761180000	1044486025607010000
130	675248872536	2148354075170860	278341432933916000	2565776516935410000	1134792568548590000
131	482320623240	1708770718291680	245457727311140000	2503784361023950000	1229941484885500000
132	341643774795	1350571432945000	215449101535085000	2434986844644260000	1329816386151380000
133	239877544005	1060428069827280	188193767749433000	2359831591544850000	1434245253345050000
134	166871334960	826873231624110	163559432146754000	2278819392077950000	1542996535608120000
135	114955808528	640094337269288	141405466476229000	2192499496735120000	1655775497306670000
136	78378960360	491742328282155	121585009646082000	2101464314413980000	1772220862457530000
137	52860229080	374755151815680	103946978767663000	2006343565437080000	1891901809691620000
138	35240152720	283195943146320	88337971340830200	1907797945649370000	2014315375448780000
139	23206929840	212105648149440	74604042708729900	1806512364121670000	2138884327860310000
140	15084504396	157369672284516	62592345391931700	1703188823024230000	2264955578808210000
141	9669554100	115598015112640	52152619424555600	1598539014042520000	2391799206966430000
142	6107086800	84018246651000	43138525335037900	1493276711214520000	2518608170238790000
143	3796297200	60380602135200	35408813918153400	1388110045201130000	2644498791925130000
144	2319959400	42874413162900	28828329409029700	1283733748674940000	2768512111181850000
145	1391975640	30055053853440	23268845070519800	1180821466640790000	2889616194910870000
146	818809200	20780558686800	18609732518968800	1080018228990330000	3006709515121410000
147	471435600	14157062193600	14738468317052400	981933185340390000	3118625503081040000
148	265182525	9492217787025	11550983433529300	887132704104880000	3224138399213770000
149	145422675	6255771922800	8951863086796050	796133938687795000	3321970525734240000
150	77558760	4046498658210	6854406231490560	709398963537774000	3410801117438180000
151	40116600	2564736831000	5180555495756250	627329581444530000	3489276854918940000
152	20058300	1589815843425	3860709713411630	550262900746147000	3556024253762060000
153	9657700	961704851200	2833432304214700	478467776908622000	3609664073001400000
154	4457400	566272553400	2045069622806400	412142207081281000	3648827916317860000
155	1961256	323599394976	1449294011259340	351411758560998000	3672177210142570000
156	817190	178839579930	1006586642619030	296329102442962000	3678424754007950000
157	319770	95185722720	683675327556540	246874711914814000	3666359050190350000
158	116280	48543237180	452942270718480	202958770473589000	3634871631926710000
159	38760	23573806160	291816308678460	164424318610227000	3582987622282150000
160	11628	10816755138	182163442685418	131051648003151000	3509899769117610000
161	3060	4643268480	109688506166880	102563929768750000	3415006215574880000
162	680	1840672280	63359593434640	78634037599464700	3297952280082490000
163	120	662130720	34865441667720	58892497435234600	3158676535111260000
164	15	210861615	18114327990765	42936462405091100	2997461489794500000
165	1	57294096	8781248296806	30339574874399500	2814989198097260000
166	-	12507990	3908221788240	20662536258785200	2612402131495640000
167	-	1960200	1560559327470	13464159524383900	2391369673133680000
168	-	166375	539896261575	8312628678683510	2154160609186790000
169	-	-	152780928300	4796633746119600	1903722012701900000
170	-	-	31696434000	2535988382904900	1643764935530890000
171	-	-	3652264000	1191270066940800	1378857345152210000
172	-	-	-	471949336782000	1114524765212210000
173	-	-	-	142394468832000	857359101540873000
174	-	-	-	25050878776000	615136159234327000
175	-	-	-	-	396942381177804000
176	-	-	-	-	213311364137487000
177	-	-	-	-	76370735308483000

Now Mega Millions:

Mega Millions
Sum	A	B	C	D	E
3	1523360007217510000	-	-	-	-
4	4323048669130780000	-	-	-	-
5	8175539652691610000	-	-	-	-
6	12879191539002700000	240595424905536	-	-	-
7	18252714390260200000	1384247650141440	-	-	-
8	24133719263747700000	4644577517897520	-	-	-
9	30377347078741200000	11870443389329300	16698695616	-	-
10	36854973369481400000	25591011728145700	146113586640	-	-
11	43452985580978000000	49027506128518600	710160049620	-	-
12	50071629684420600000	86076828796612200	2530768794255	357911	-
13	56623923005458400000	141271785519710000	7377798079710	4234440	-
14	63034630271673000000	219722209896586000	18637190062848	27134070	-
15	69239299995272500000	327040873880541000	42243884584110	124822480	1
16	75183358413471800000	469257688361178000	87920268437205	461381535	15
17	80821258312269700000	652725338476301000	170755709557320	1455160608	120
18	86115680159457600000	884019162529152000	313156286393040	4063249560	680
19	91036783069789500000	1169833769750000000	547186433703696	10296190080	3060
20	95561503219362700000	1516878599678960000	917316126697050	24095279970	11628
21	99672897417493600000	1931774353685000000	1483578635103900	52756261840	38760
22	103359529632784000000	2420951976132090000	2325134997442800	109146574716	116280
23	106614898355733000000	2990555628045080000	3544232374853100	215039704800	319770
24	109436902763235000000	3646350878933780000	5270534507339910	405980363450	817190
25	111827345730657000000	4393639141851090000	7665793760161800	738198928800	1961256
26	113791471815018000000	5237179191965550000	10928825845502400	1298213292600	4457400
27	115337538408116000000	6181116439125190000	15300740350412100	2215891215360	9657700
28	116476418331365000000	7228920469308440000	21070372797777800	3681896533425	20058300
29	117221232214657000000	8383331227758160000	28579857200600500	5970607853400	40116600
30	117587009069814000000	9646314087259720000	38230272016016400	9469778222850	77558760
31	117590373535229000000	11019023927764000000	50487287126949500	14718397921200	145422675
32	117249258332103000000	12501778247704700000	65886735027150700	22454428933665	265182525
33	116582640534451000000	14094039232277500000	85040025799935700	33674297534400	471435600
34	115610300314636000000	15794404619011800000	108639322792228000	49706259109200	818809200
35	114352600883889000000	17600607125594700000	137462394114052000	72299985004800	1391975640
36	112830288402918000000	19509522138505600000	172377054250925000	103734962630100	2319959400
37	111064310691497000000	21517183303065200000	214345110165884000	146950544804256	3796297200
38	109075653617838000000	23618805605446200000	264425727284538000	205700729723640	6107086800
39	106885194098696000000	25808815494533100000	323778132688828000	284736995913920	9669554100
40	104513568689486000000	28080887555771500000	393663575674632000	390022753897380	15084504396
41	101981056790379000000	30427987219841800000	475446469530397000	528983204544960	23206929840
42	99307477539330400000	32842418965677800000	570594642938532000	710794609469008	35240152720
43	96512099506393900000	35315879459602600000	680678634752911000	946717177397760	52860229080
44	93613562345493400000	37839515059757700000	807369972024774000	1250475948102560	78378960360
45	90629809600116800000	40403983107165600000	952438377991290000	1638694207782120	114955808528
46	87578031898237100000	42999516421307900000	1117747864258440000	2131384092333390	166871334960
47	84474619809127000000	45615990418674200000	1305251669551360000	2752499122993300	239877544005
48	81335125670739400000	48242992276981100000	1516986016117080000	3530553467629080	341643774795
49	78174233730947100000	50869891575365300000	1755062664090060000	4499312725586400	482320623240
50	75005737979263100000	53485911851492800000	2021660253811620000	5698560989490600	675248872536
51	71842527077689500000	56080202529917100000	2319014436170010000	7174948838691200	937845656300
52	68696575830158200000	58641910691858600000	2649406801436620000	8982926761062870	1292706174900
53	65578942659612600000	61160252174625000000	3015152627753470000	11185768277535600	1768966344600
54	62499772590220600000	63624581508867200000	3418587481313820000	13856686751949300	2403979904200
55	59468305259501600000	66024460223536400000	3862052711307950000	17080049502583200	3245372870670
56	56492887511360300000	68349723071563900000	4347879893815980000	20952692386041100	4353548972850
57	53580990146159900000	70590541753666900000	4878374289956000000	25585337494224500	5804731963800
58	50739228428069900000	72737485743138900000	5455797394674170000	31104115986169800	7694644696200
59	47973385973047100000	74781579840783300000	6082348663532910000	37652197364006400	10142940735900
60	45288441662941700000	76714358116118100000	6760146515651850000	45391525691824800	13298522298180
61	42688599252435500000	78527913918469300000	7491208721523050000	54504662343694200	17345898649800
62	40177319355818400000	80214945669393400000	8277432294698800000	65196733848529600	22512762077400
63	37757353520025300000	81768798175892800000	9120573016280680000	77697482271369800	29078984349975
64	35430780108943600000	83183499231968600000	10022224730664800000	92263414329606700	37387265592825
65	33199041741736700000	84453791304058700000	10983798560069700000	109180044085841000	47855699958816
66	31062984044897600000	85575158123729100000	12006502193936800000	128764222583786000	60992558771040
67	29022895493928200000	86543846038482900000	13091319417302700000	151366546197816000	77413632286320
68	27078548135986800000	87356879998656800000	14238990049644800000	177373833748714000	97862516286480
69	25229238999577200000	88012074084963300000	15449990472465100000	207211660596585000	123234279768160
70	23473832011375900000	88508036507240000000	16724514929946700000	241346935956162000	154603005527328
71	21810800253671800000	88844169030288300000	18062457792365500000	280290507589548000	193253756909160
72	20238268408596100000	89020660807289400000	19463396976526200000	324599775817313000	240719591939480
73	18754055247422200000	89038476625026300000	20926578721287700000	374881296451593000	298824321028320
74	17355716034701500000	88899339588091400000	22450903919213800000	431793349796397000	369731787035040
75	16040584727909600000	88605708291200200000	24034916207514400000	496048450282472000	456002537343216
76	14805815863631300000	88160748549796000000	25676792022696200000	568415768610351000	560658857389200
77	13648426031116800000	87568299779103900000	27374332823714100000	649723435468886000	687259244541600
78	12565330871515500000	86832836130800200000	29124959687876700000	740860692982201000	839983521106400
79	11553377951083100000	85959422514341900000	30925710482307800000	842779857020967000	1023729916348430
80	10609375835721000000	84953666517194200000	32773239811392500000	956498050399919000	1244225590638860
81	9730119674233090000	83821667157242700000	34663821937323600000	1083098663779780000	1508152231077400
82	8912413578672360000	82569961322783000000	36593356812245900000	1223732497805420000	1823288518168200
83	8153090072035210000	81205468680718300000	38557379305581700000	1379618536652610000	2198671448379300
84	7449026856330170000	79735435761940300000	40551071658946600000	1552044300752370000	2644778698775100
85	6797161137659350000	78167379864309800000	42569279153558900000	1742365724995640000	3173734438530120
86	6194501729372630000	76509033348235600000	44606528931236000000	1952006508167600000	3799541225579850
87	5638139139563790000	74768288837534100000	46657051869893900000	2182456879696910000	4538340872374430
88	5125253835134600000	72953145778970600000	48714807377878800000	2435271731003470000	5408707419966830
89	4653122861335020000	71071658757749600000	50773510938463300000	2712068060760750000	6431975621636400
90	4219124983065470000	69131887913012400000	52826664206307800000	3014521686224990000	7632608602915760
91	3820744502272700000	67141851747268200000	54867587431649700000	3344363176390060000	9038608631091240
92	3455573894457280000	65109482576456200000	56889453965284500000	3703372967070970000	10681975190657200
93	3121315396614150000	63042584823012300000	58885326578067300000	4093375623061870000	12599214818322400
94	2815781668822070000	60948796312868900000	60848195312509600000	4516233218219250000	14831907398321500
95	2536895642157680000	58835552698637300000	62771016571108000000	4973837810645300000	17427333852113700
96	2282689656615580000	56710055095294600000	64646753136113200000	5468102997048440000	20439170371998300
97	2051303984239610000	54579240981439100000	66468414808527000000	6000954537792410000	23928254541520300
98	1840984824695320000	52449758388537600000	68229099350060300000	6574320052063410000	27963428852288800
99	1650081853013900000	50327943372456000000	69922033410487200000	7190117790940550000	32622467262353300
100	1477045392196130000	48219800735941200000	71540613124186900000	7850244504892080000	37993090540697000
101	1320423276759210000	46130987947440500000	73078444063599800000	8556562431290520000	44174076200555300
102	1178857467120980000	44066802180722100000	74529380243620800000	9310885436882250000	51276468835882800
103	1051080468926420000	42032170381028200000	75887561879611400000	10114964359710500000	59424896634712300
104	935911606011903000	40031642246956200000	77147451612492000000	10970471604707600000	68758999744576800
105	832253190656080000	38069386002754200000	78303868927222800000	11878985056986400000	79434976002490100
106	739086630065487000	36149186823232000000	79352022505730600000	12841971386710400000	91627249308838400
107	655468503671624000	34274447762881600000	80287540271815000000	13860768829229600000	105530265614264000
108	580526641758325000	32448193032024000000	81106496903742300000	14936569533884000000	121360421094337000
109	513456232178516000	30673073455736300000	81805438609774100000	16070401584415800000	139358126601223000
110	453515978442917000	28951373945917800000	82381404982867900000	17263110803228500000	159790011897181000
111	400024329256028000	27285022812983300000	82831947772845000000	18515342460716400000	182951272483755000
112	352355796622252000	25675602741301700000	83155146437480400000	19827523019479700000	209168161034653000
113	309937376934772000	24124363251480900000	83349620357954000000	21199842051370700000	238800624511226000
114	272245086978217000	22632234472898200000	83414537628824300000	22632234472898100000	272245086978216000
115	238800624511226000	21199842051370700000	83349620357954000000	24124363251480900000	309937376934771000
116	209168161034653000	19827523019479800000	83155146437480300000	25675602741301700000	352355796622252000
117	182951272483756000	18515342460716300000	82831947772845100000	27285022812983300000	400024329256028000
118	159790011897182000	17263110803228500000	82381404982867900000	28951373945917900000	453515978442917000
119	139358126601223000	16070401584415800000	81805438609773800000	30673073455736300000	513456232178516000
120	121360421094337000	14936569533883900000	81106496903742100000	32448193032024000000	580526641758323000
121	105530265614264000	13860768829229600000	80287540271815100000	34274447762881800000	655468503671621000
122	91627249308838500	12841971386710400000	79352022505730200000	36149186823232000000	739086630065486000
123	79434976002489600	11878985056986400000	78303868927223000000	38069386002754400000	832253190656080000
124	68758999744576600	10970471604707600000	77147451612492200000	40031642246956200000	935911606011906000
125	59424896634712500	10114964359710600000	75887561879611700000	42032170381028100000	1051080468926420000
126	51276468835883100	9310885436882240000	74529380243621000000	44066802180721900000	1178857467120980000
127	44174076200555300	8556562431290540000	73078444063599800000	46130987947440700000	1320423276759210000
128	37993090540697200	7850244504892100000	71540613124186900000	48219800735941100000	1477045392196130000
129	32622467262353300	7190117790940560000	69922033410487000000	50327943372456100000	1650081853013900000
130	27963428852288700	6574320052063420000	68229099350060400000	52449758388537500000	1840984824695320000
131	23928254541520300	6000954537792410000	66468414808526900000	54579240981439000000	2051303984239610000
132	20439170371998200	5468102997048460000	64646753136113200000	56710055095294500000	2282689656615580000
133	17427333852113700	4973837810645320000	62771016571107800000	58835552698637300000	2536895642157680000
134	14831907398321500	4516233218219250000	60848195312509400000	60948796312869000000	2815781668822070000
135	12599214818322400	4093375623061870000	58885326578067300000	63042584823012400000	3121315396614140000
136	10681975190657300	3703372967070970000	56889453965284500000	65109482576456200000	3455573894457290000
137	9038608631091230	3344363176390050000	54867587431649800000	67141851747268300000	3820744502272700000
138	7632608602915760	3014521686224990000	52826664206307800000	69131887913012200000	4219124983065490000
139	6431975621636400	2712068060760750000	50773510938463400000	71071658757749500000	4653122861335020000
140	5408707419966830	2435271731003470000	48714807377878800000	72953145778970600000	5125253835134600000
141	4538340872374430	2182456879696910000	46657051869893800000	74768288837534100000	5638139139563790000
142	3799541225579850	1952006508167600000	44606528931236000000	76509033348235700000	6194501729372620000
143	3173734438530120	1742365724995640000	42569279153558700000	78167379864309600000	6797161137659350000
144	2644778698775100	1552044300752370000	40551071658946700000	79735435761940600000	7449026856330180000
145	2198671448379300	1379618536652610000	38557379305581700000	81205468680718400000	8153090072035210000
146	1823288518168200	1223732497805420000	36593356812246000000	82569961322783100000	8912413578672360000
147	1508152231077400	1083098663779780000	34663821937323600000	83821667157242900000	9730119674233110000
148	1244225590638860	956498050399918000	32773239811392600000	84953666517194400000	10609375835721000000
149	1023729916348430	842779857020968000	30925710482307800000	85959422514341900000	11553377951083100000
150	839983521106400	740860692982200000	29124959687876700000	86832836130800400000	12565330871515500000
151	687259244541600	649723435468885000	27374332823714200000	87568299779104000000	13648426031116900000
152	560658857389200	568415768610351000	25676792022696200000	88160748549796100000	14805815863631300000
153	456002537343216	496048450282472000	24034916207514400000	88605708291200100000	16040584727909600000
154	369731787035040	431793349796398000	22450903919213800000	88899339588091500000	17355716034701500000
155	298824321028320	374881296451594000	20926578721287700000	89038476625026300000	18754055247422200000
156	240719591939480	324599775817313000	19463396976526200000	89020660807289400000	20238268408596100000
157	193253756909160	280290507589548000	18062457792365500000	88844169030288100000	21810800253671800000
158	154603005527328	241346935956162000	16724514929946700000	88508036507240000000	23473832011375900000
159	123234279768160	207211660596585000	15449990472465100000	88012074084963500000	25229238999577100000
160	97862516286480	177373833748714000	14238990049644800000	87356879998656900000	27078548135986800000
161	77413632286320	151366546197817000	13091319417302700000	86543846038482800000	29022895493928200000
162	60992558771040	128764222583786000	12006502193936800000	85575158123729300000	31062984044897600000
163	47855699958816	109180044085841000	10983798560069700000	84453791304058900000	33199041741736700000
164	37387265592825	92263414329606700	10022224730664800000	83183499231968600000	35430780108943500000
165	29078984349975	77697482271369800	9120573016280680000	81768798175893000000	37757353520025200000
166	22512762077400	65196733848529600	8277432294698810000	80214945669393300000	40177319355818500000
167	17345898649800	54504662343694200	7491208721523050000	78527913918469300000	42688599252435400000
168	13298522298180	45391525691824700	6760146515651870000	76714358116118200000	45288441662941600000
169	10142940735900	37652197364006400	6082348663532900000	74781579840783600000	47973385973047200000
170	7694644696200	31104115986169800	5455797394674170000	72737485743138900000	50739228428070000000
171	5804731963800	25585337494224500	4878374289956000000	70590541753666800000	53580990146159900000
172	4353548972850	20952692386041100	4347879893815980000	68349723071564000000	56492887511360200000
173	3245372870670	17080049502583200	3862052711307950000	66024460223536400000	59468305259501500000
174	2403979904200	13856686751949300	3418587481313830000	63624581508867200000	62499772590220600000
175	1768966344600	11185768277535600	3015152627753470000	61160252174625100000	65578942659612700000
176	1292706174900	8982926761062870	2649406801436610000	58641910691858600000	68696575830158200000
177	937845656300	7174948838691200	2319014436170010000	56080202529917100000	71842527077689400000
178	675248872536	5698560989490600	2021660253811620000	53485911851492800000	75005737979263000000
179	482320623240	4499312725586400	1755062664090060000	50869891575365300000	78174233730947200000
180	341643774795	3530553467629080	1516986016117080000	48242992276981100000	81335125670739300000
181	239877544005	2752499122993300	1305251669551360000	45615990418674100000	84474619809127000000
182	166871334960	2131384092333390	1117747864258440000	42999516421307900000	87578031898237100000
183	114955808528	1638694207782120	952438377991289000	40403983107165500000	90629809600116800000
184	78378960360	1250475948102560	807369972024774000	37839515059757700000	93613562345493300000
185	52860229080	946717177397760	680678634752911000	35315879459602500000	96512099506394000000
186	35240152720	710794609469008	570594642938533000	32842418965677900000	99307477539330400000
187	23206929840	528983204544960	475446469530398000	30427987219841800000	101981056790379000000
188	15084504396	390022753897380	393663575674633000	28080887555771600000	104513568689486000000
189	9669554100	284736995913920	323778132688828000	25808815494533100000	106885194098696000000
190	6107086800	205700729723640	264425727284538000	23618805605446200000	109075653617837000000
191	3796297200	146950544804256	214345110165884000	21517183303065200000	111064310691497000000
192	2319959400	103734962630100	172377054250925000	19509522138505600000	112830288402918000000
193	1391975640	72299985004800	137462394114052000	17600607125594800000	114352600883889000000
194	818809200	49706259109200	108639322792228000	15794404619011800000	115610300314636000000
195	471435600	33674297534400	85040025799935600	14094039232277500000	116582640534451000000
196	265182525	22454428933665	65886735027150700	12501778247704700000	117249258332103000000
197	145422675	14718397921200	50487287126949500	11019023927764000000	117590373535229000000
198	77558760	9469778222850	38230272016016400	9646314087259730000	117587009069814000000
199	40116600	5970607853400	28579857200600500	8383331227758170000	117221232214657000000
200	20058300	3681896533425	21070372797777800	7228920469308440000	116476418331365000000
201	9657700	2215891215360	15300740350412100	6181116439125190000	115337538408116000000
202	4457400	1298213292600	10928825845502400	5237179191965550000	113791471815019000000
203	1961256	738198928800	7665793760161800	4393639141851090000	111827345730657000000
204	817190	405980363450	5270534507339910	3646350878933780000	109436902763235000000
205	319770	215039704800	3544232374853100	2990555628045080000	106614898355733000000
206	116280	109146574716	2325134997442800	2420951976132090000	103359529632784000000
207	38760	52756261840	1483578635103900	1931774353685000000	99672897417493500000
208	11628	24095279970	917316126697050	1516878599678960000	95561503219362700000
209	3060	10296190080	547186433703696	1169833769750000000	91036783069789500000
210	680	4063249560	313156286393040	884019162529152000	86115680159457600000
211	120	1455160608	170755709557320	652725338476301000	80821258312269700000
212	15	461381535	87920268437205	469257688361178000	75183358413471800000
213	1	124822480	42243884584110	327040873880541000	69239299995272500000
214	-	27134070	18637190062848	219722209896586000	63034630271673000000
215	-	4234440	7377798079710	141271785519710000	56623923005458400000
216	-	357911	2530768794255	86076828796612200	50071629684420500000
217	-	-	710160049620	49027506128518600	43452985580978000000
218	-	-	146113586640	25591011728145700	36854973369481400000
219	-	-	16698695616	11870443389329300	30377347078741200000
220	-	-	-	4644577517897520	24133719263747700000
221	-	-	-	1384247650141440	18252714390260200000
222	-	-	-	240595424905536	12879191539002700000
223	-	-	-	-	8175539652691610000
224	-	-	-	-	4323048669130780000
225	-	-	-	-	1523360007217510000

Continues...

The One Over None
I Know...

JADELottery

Native American Eagle Sun

MN
United States
Member #21
December 7, 2001
4,811 Posts
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May 17, 2015, 2:53 pm

When we graph these, we can see the Power Ball and Mega Ball Insequence Sums look a lot like the Pick 3 sums.

Continues...

The One Over None
I Know...

JADELottery

Native American Eagle Sun

MN
United States
Member #21
December 7, 2001
4,811 Posts
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May 17, 2015, 2:59 pm

The individual Insequence Sums of the columns are a bit different.

We can see columns A, B, D, and E are a little lopsided; one way and the other.

Also, column A is symmetrical with E; meaning it's the mirror image of each.

In addition, B is symmertrical with D, and C is what as known as self symmetric or a mirror image of itself.

Continues...

The One Over None
I Know...

JADELottery

Native American Eagle Sun

MN
United States
Member #21
December 7, 2001
4,811 Posts
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May 17, 2015, 3:27 pm

With those huge numbers, we like to reduce them down to a Probability table.

This make it easy to see what sum is more likely to happen and it make it more even between columns and the extra ball numbers.

The following table shows all Insequence Sum Probabilities for both Powerball and Mega Millions.

Insequence Sum Probability Table
Powerball							Mega Millions
Sum	A	B	C	D	E	PB	Sum	A	B	C	D	E	MB
3	0.0609%	0.0000%	0.0000%	0.0000%	0.0000%	0.0023%	3	0.0296%	0.0000%	0.0000%	0.0000%	0.0000%	0.0296%
4	0.1700%	0.0000%	0.0000%	0.0000%	0.0000%	0.0070%	4	0.0841%	0.0000%	0.0000%	0.0000%	0.0000%	0.0889%
5	0.3163%	0.0000%	0.0000%	0.0000%	0.0000%	0.0140%	5	0.1590%	0.0000%	0.0000%	0.0000%	0.0000%	0.1778%
6	0.4902%	0.0000%	0.0000%	0.0000%	0.0000%	0.0233%	6	0.2505%	0.0000%	0.0000%	0.0000%	0.0000%	0.2963%
7	0.6833%	0.0001%	0.0000%	0.0000%	0.0000%	0.0350%	7	0.3550%	0.0000%	0.0000%	0.0000%	0.0000%	0.4444%
8	0.8882%	0.0004%	0.0000%	0.0000%	0.0000%	0.0490%	8	0.4694%	0.0001%	0.0000%	0.0000%	0.0000%	0.6222%
9	1.0989%	0.0009%	0.0000%	0.0000%	0.0000%	0.0653%	9	0.5908%	0.0002%	0.0000%	0.0000%	0.0000%	0.8296%
10	1.3100%	0.0020%	0.0000%	0.0000%	0.0000%	0.0840%	10	0.7168%	0.0005%	0.0000%	0.0000%	0.0000%	1.0667%
11	1.5172%	0.0038%	0.0000%	0.0000%	0.0000%	0.1050%	11	0.8452%	0.0010%	0.0000%	0.0000%	0.0000%	1.3333%
12	1.7167%	0.0066%	0.0000%	0.0000%	0.0000%	0.1283%	12	0.9739%	0.0017%	0.0000%	0.0000%	0.0000%	1.6296%
13	1.9058%	0.0107%	0.0000%	0.0000%	0.0000%	0.1539%	13	1.1013%	0.0027%	0.0000%	0.0000%	0.0000%	1.9556%
14	2.0819%	0.0165%	0.0000%	0.0000%	0.0000%	0.1819%	14	1.2260%	0.0043%	0.0000%	0.0000%	0.0000%	2.3111%
15	2.2434%	0.0242%	0.0000%	0.0000%	0.0000%	0.2122%	15	1.3467%	0.0064%	0.0000%	0.0000%	0.0000%	2.6963%
16	2.3888%	0.0342%	0.0000%	0.0000%	0.0000%	0.2449%	16	1.4623%	0.0091%	0.0000%	0.0000%	0.0000%	3.1111%
17	2.5173%	0.0469%	0.0000%	0.0000%	0.0000%	0.2799%	17	1.5720%	0.0127%	0.0000%	0.0000%	0.0000%	3.5556%
18	2.6283%	0.0627%	0.0001%	0.0000%	0.0000%	0.3172%	18	1.6750%	0.0172%	0.0000%	0.0000%	0.0000%	3.9407%
19	2.7216%	0.0817%	0.0001%	0.0000%	0.0000%	0.3569%	19	1.7707%	0.0228%	0.0000%	0.0000%	0.0000%	4.2667%
20	2.7972%	0.1044%	0.0001%	0.0000%	0.0000%	0.3988%	20	1.8587%	0.0295%	0.0000%	0.0000%	0.0000%	4.5333%
21	2.8554%	0.1310%	0.0002%	0.0000%	0.0000%	0.4431%	21	1.9387%	0.0376%	0.0000%	0.0000%	0.0000%	4.7407%
22	2.8968%	0.1617%	0.0004%	0.0000%	0.0000%	0.4898%	22	2.0104%	0.0471%	0.0000%	0.0000%	0.0000%	4.8889%
23	2.9219%	0.1967%	0.0005%	0.0000%	0.0000%	0.5388%	23	2.0737%	0.0582%	0.0001%	0.0000%	0.0000%	4.9778%
24	2.9315%	0.2362%	0.0008%	0.0000%	0.0000%	0.5901%	24	2.1286%	0.0709%	0.0001%	0.0000%	0.0000%	5.0074%
25	2.9265%	0.2801%	0.0012%	0.0000%	0.0000%	0.6437%	25	2.1751%	0.0855%	0.0001%	0.0000%	0.0000%	4.9778%
26	2.9079%	0.3285%	0.0016%	0.0000%	0.0000%	0.6997%	26	2.2133%	0.1019%	0.0002%	0.0000%	0.0000%	4.8889%
27	2.8767%	0.3813%	0.0023%	0.0000%	0.0000%	0.7580%	27	2.2433%	0.1202%	0.0003%	0.0000%	0.0000%	4.7407%
28	2.8339%	0.4385%	0.0031%	0.0000%	0.0000%	0.8187%	28	2.2655%	0.1406%	0.0004%	0.0000%	0.0000%	4.5333%
29	2.7808%	0.4999%	0.0041%	0.0000%	0.0000%	0.8816%	29	2.2800%	0.1631%	0.0006%	0.0000%	0.0000%	4.2667%
30	2.7182%	0.5654%	0.0055%	0.0000%	0.0000%	0.9469%	30	2.2871%	0.1876%	0.0007%	0.0000%	0.0000%	3.9407%
31	2.6474%	0.6345%	0.0071%	0.0000%	0.0000%	1.0146%	31	2.2872%	0.2143%	0.0010%	0.0000%	0.0000%	3.5556%
32	2.5695%	0.7070%	0.0092%	0.0000%	0.0000%	1.0845%	32	2.2805%	0.2432%	0.0013%	0.0000%	0.0000%	3.1111%
33	2.4854%	0.7825%	0.0117%	0.0000%	0.0000%	1.1569%	33	2.2676%	0.2741%	0.0017%	0.0000%	0.0000%	2.6963%
34	2.3962%	0.8607%	0.0148%	0.0000%	0.0000%	1.2315%	34	2.2486%	0.3072%	0.0021%	0.0000%	0.0000%	2.3111%
35	2.3029%	0.9410%	0.0185%	0.0000%	0.0000%	1.3085%	35	2.2242%	0.3423%	0.0027%	0.0000%	0.0000%	1.9556%
36	2.2063%	1.0231%	0.0230%	0.0000%	0.0000%	1.3878%	36	2.1946%	0.3795%	0.0034%	0.0000%	0.0000%	1.6296%
37	2.1075%	1.1062%	0.0282%	0.0000%	0.0000%	1.4694%	37	2.1602%	0.4185%	0.0042%	0.0000%	0.0000%	1.3333%
38	2.0072%	1.1901%	0.0344%	0.0001%	0.0000%	1.5464%	38	2.1215%	0.4594%	0.0051%	0.0000%	0.0000%	1.0667%
39	1.9061%	1.2739%	0.0416%	0.0001%	0.0000%	1.6187%	39	2.0789%	0.5020%	0.0063%	0.0000%	0.0000%	0.8296%
40	1.8050%	1.3573%	0.0499%	0.0001%	0.0000%	1.6863%	40	2.0328%	0.5462%	0.0077%	0.0000%	0.0000%	0.6222%
41	1.7046%	1.4397%	0.0595%	0.0002%	0.0000%	1.7493%	41	1.9836%	0.5918%	0.0092%	0.0000%	0.0000%	0.4444%
42	1.6053%	1.5204%	0.0704%	0.0002%	0.0000%	1.8076%	42	1.9315%	0.6388%	0.0111%	0.0000%	0.0000%	0.2963%
43	1.5077%	1.5989%	0.0828%	0.0003%	0.0000%	1.8612%	43	1.8772%	0.6869%	0.0132%	0.0000%	0.0000%	0.1778%
44	1.4124%	1.6747%	0.0969%	0.0004%	0.0000%	1.9102%	44	1.8208%	0.7360%	0.0157%	0.0000%	0.0000%	0.0889%
45	1.3196%	1.7473%	0.1127%	0.0005%	0.0000%	1.9545%	45	1.7628%	0.7859%	0.0185%	0.0000%	0.0000%	0.0296%
46	1.2297%	1.8161%	0.1303%	0.0007%	0.0000%	1.9942%	46	1.7034%	0.8363%	0.0217%	0.0000%	0.0000%	-
47	1.1430%	1.8807%	0.1500%	0.0008%	0.0000%	2.0292%	47	1.6430%	0.8872%	0.0254%	0.0001%	0.0000%	-
48	1.0598%	1.9405%	0.1717%	0.0011%	0.0000%	2.0595%	48	1.5820%	0.9383%	0.0295%	0.0001%	0.0000%	-
49	0.9802%	1.9954%	0.1956%	0.0014%	0.0000%	2.0851%	49	1.5205%	0.9894%	0.0341%	0.0001%	0.0000%	-
50	0.9044%	2.0448%	0.2218%	0.0017%	0.0000%	2.1061%	50	1.4589%	1.0403%	0.0393%	0.0001%	0.0000%	-
51	0.8324%	2.0884%	0.2504%	0.0021%	0.0000%	2.1224%	51	1.3974%	1.0908%	0.0451%	0.0001%	0.0000%	-
52	0.7643%	2.1261%	0.2814%	0.0027%	0.0000%	2.1341%	52	1.3362%	1.1406%	0.0515%	0.0002%	0.0000%	-
53	0.7002%	2.1576%	0.3150%	0.0033%	0.0000%	2.1411%	53	1.2755%	1.1896%	0.0586%	0.0002%	0.0000%	-
54	0.6400%	2.1827%	0.3511%	0.0040%	0.0000%	2.1434%	54	1.2156%	1.2375%	0.0665%	0.0003%	0.0000%	-
55	0.5836%	2.2013%	0.3898%	0.0049%	0.0000%	2.1411%	55	1.1567%	1.2842%	0.0751%	0.0003%	0.0000%	-
56	0.5310%	2.2134%	0.4311%	0.0060%	0.0000%	2.1341%	56	1.0988%	1.3294%	0.0846%	0.0004%	0.0000%	-
57	0.4821%	2.2189%	0.4750%	0.0073%	0.0000%	2.1224%	57	1.0422%	1.3730%	0.0949%	0.0005%	0.0000%	-
58	0.4367%	2.2180%	0.5214%	0.0088%	0.0000%	2.1061%	58	0.9869%	1.4148%	0.1061%	0.0006%	0.0000%	-
59	0.3948%	2.2107%	0.5704%	0.0105%	0.0000%	2.0851%	59	0.9331%	1.4545%	0.1183%	0.0007%	0.0000%	-
60	0.3561%	2.1971%	0.6218%	0.0126%	0.0000%	2.0595%	60	0.8809%	1.4921%	0.1315%	0.0009%	0.0000%	-
61	0.3205%	2.1776%	0.6754%	0.0149%	0.0000%	2.0292%	61	0.8303%	1.5274%	0.1457%	0.0011%	0.0000%	-
62	0.2879%	2.1522%	0.7313%	0.0177%	0.0000%	1.9942%	62	0.7815%	1.5602%	0.1610%	0.0013%	0.0000%	-
63	0.2580%	2.1213%	0.7892%	0.0209%	0.0000%	1.9545%	63	0.7344%	1.5904%	0.1774%	0.0015%	0.0000%	-
64	0.2308%	2.0852%	0.8490%	0.0246%	0.0000%	1.9102%	64	0.6891%	1.6179%	0.1949%	0.0018%	0.0000%	-
65	0.2060%	2.0443%	0.9104%	0.0288%	0.0000%	1.8612%	65	0.6457%	1.6426%	0.2136%	0.0021%	0.0000%	-
66	0.1835%	1.9988%	0.9732%	0.0336%	0.0000%	1.8076%	66	0.6042%	1.6645%	0.2335%	0.0025%	0.0000%	-
67	0.1631%	1.9493%	1.0372%	0.0391%	0.0001%	1.7493%	67	0.5645%	1.6833%	0.2546%	0.0029%	0.0000%	-
68	0.1447%	1.8960%	1.1021%	0.0453%	0.0001%	1.6863%	68	0.5267%	1.6991%	0.2770%	0.0034%	0.0000%	-
69	0.1281%	1.8395%	1.1675%	0.0523%	0.0001%	1.6187%	69	0.4907%	1.7119%	0.3005%	0.0040%	0.0000%	-
70	0.1131%	1.7801%	1.2333%	0.0602%	0.0001%	1.5464%	70	0.4566%	1.7215%	0.3253%	0.0047%	0.0000%	-
71	0.0997%	1.7182%	1.2989%	0.0691%	0.0002%	1.4694%	71	0.4242%	1.7280%	0.3513%	0.0055%	0.0000%	-
72	0.0877%	1.6544%	1.3642%	0.0791%	0.0002%	1.3878%	72	0.3936%	1.7315%	0.3786%	0.0063%	0.0000%	-
73	0.0770%	1.5889%	1.4287%	0.0902%	0.0002%	1.3085%	73	0.3648%	1.7318%	0.4070%	0.0073%	0.0000%	-
74	0.0675%	1.5222%	1.4921%	0.1026%	0.0003%	1.2315%	74	0.3376%	1.7291%	0.4367%	0.0084%	0.0000%	-
75	0.0590%	1.4547%	1.5540%	0.1163%	0.0004%	1.1569%	75	0.3120%	1.7234%	0.4675%	0.0096%	0.0000%	-
76	0.0514%	1.3867%	1.6140%	0.1315%	0.0004%	1.0845%	76	0.2880%	1.7147%	0.4994%	0.0111%	0.0000%	-
77	0.0448%	1.3187%	1.6718%	0.1482%	0.0005%	1.0146%	77	0.2655%	1.7032%	0.5324%	0.0126%	0.0000%	-
78	0.0389%	1.2509%	1.7270%	0.1666%	0.0007%	0.9469%	78	0.2444%	1.6889%	0.5665%	0.0144%	0.0000%	-
79	0.0337%	1.1837%	1.7792%	0.1867%	0.0008%	0.8816%	79	0.2247%	1.6719%	0.6015%	0.0164%	0.0000%	-
80	0.0292%	1.1174%	1.8282%	0.2087%	0.0010%	0.8187%	80	0.2064%	1.6524%	0.6374%	0.0186%	0.0000%	-
81	0.0252%	1.0522%	1.8736%	0.2326%	0.0012%	0.7580%	81	0.1893%	1.6303%	0.6742%	0.0211%	0.0000%	-
82	0.0217%	0.9883%	1.9151%	0.2585%	0.0015%	0.6997%	82	0.1733%	1.6060%	0.7117%	0.0238%	0.0000%	-
83	0.0186%	0.9261%	1.9524%	0.2866%	0.0018%	0.6437%	83	0.1586%	1.5795%	0.7499%	0.0268%	0.0000%	-
84	0.0160%	0.8657%	1.9852%	0.3169%	0.0021%	0.5901%	84	0.1449%	1.5509%	0.7887%	0.0302%	0.0001%	-
85	0.0137%	0.8072%	2.0134%	0.3495%	0.0025%	0.5388%	85	0.1322%	1.5204%	0.8280%	0.0339%	0.0001%	-
86	0.0117%	0.7508%	2.0368%	0.3844%	0.0030%	0.4898%	86	0.1205%	1.4881%	0.8676%	0.0380%	0.0001%	-
87	0.0099%	0.6966%	2.0551%	0.4216%	0.0036%	0.4431%	87	0.1097%	1.4543%	0.9075%	0.0424%	0.0001%	-
88	0.0084%	0.6447%	2.0683%	0.4614%	0.0043%	0.3988%	88	0.0997%	1.4190%	0.9475%	0.0474%	0.0001%	-
89	0.0071%	0.5952%	2.0762%	0.5035%	0.0051%	0.3569%	89	0.0905%	1.3824%	0.9876%	0.0528%	0.0001%	-
90	0.0060%	0.5482%	2.0789%	0.5482%	0.0060%	0.3172%	90	0.0821%	1.3446%	1.0275%	0.0586%	0.0001%	-
91	0.0051%	0.5035%	2.0762%	0.5952%	0.0071%	0.2799%	91	0.0743%	1.3059%	1.0672%	0.0650%	0.0002%	-
92	0.0043%	0.4614%	2.0683%	0.6447%	0.0084%	0.2449%	92	0.0672%	1.2664%	1.1065%	0.0720%	0.0002%	-
93	0.0036%	0.4216%	2.0551%	0.6966%	0.0099%	0.2122%	93	0.0607%	1.2262%	1.1453%	0.0796%	0.0002%	-
94	0.0030%	0.3844%	2.0368%	0.7508%	0.0117%	0.1819%	94	0.0548%	1.1855%	1.1835%	0.0878%	0.0003%	-
95	0.0025%	0.3495%	2.0134%	0.8072%	0.0137%	0.1539%	95	0.0493%	1.1444%	1.2209%	0.0967%	0.0003%	-
96	0.0021%	0.3169%	1.9852%	0.8657%	0.0160%	0.1283%	96	0.0444%	1.1030%	1.2574%	0.1064%	0.0004%	-
97	0.0018%	0.2866%	1.9524%	0.9261%	0.0186%	0.1050%	97	0.0399%	1.0616%	1.2928%	0.1167%	0.0005%	-
98	0.0015%	0.2585%	1.9151%	0.9883%	0.0217%	0.0840%	98	0.0358%	1.0202%	1.3271%	0.1279%	0.0005%	-
99	0.0012%	0.2326%	1.8736%	1.0522%	0.0252%	0.0653%	99	0.0321%	0.9789%	1.3600%	0.1398%	0.0006%	-
100	0.0010%	0.2087%	1.8282%	1.1174%	0.0292%	0.0490%	100	0.0287%	0.9379%	1.3915%	0.1527%	0.0007%	-
101	0.0008%	0.1867%	1.7792%	1.1837%	0.0337%	0.0350%	101	0.0257%	0.8973%	1.4214%	0.1664%	0.0009%	-
102	0.0007%	0.1666%	1.7270%	1.2509%	0.0389%	0.0233%	102	0.0229%	0.8571%	1.4496%	0.1811%	0.0010%	-
103	0.0005%	0.1482%	1.6718%	1.3187%	0.0448%	0.0140%	103	0.0204%	0.8175%	1.4760%	0.1967%	0.0012%	-
104	0.0004%	0.1315%	1.6140%	1.3867%	0.0514%	0.0070%	104	0.0182%	0.7786%	1.5005%	0.2134%	0.0013%	-
105	0.0004%	0.1163%	1.5540%	1.4547%	0.0590%	0.0023%	105	0.0162%	0.7405%	1.5230%	0.2310%	0.0015%	-
106	0.0003%	0.1026%	1.4921%	1.5222%	0.0675%	-	106	0.0144%	0.7031%	1.5434%	0.2498%	0.0018%	-
107	0.0002%	0.0902%	1.4287%	1.5889%	0.0770%	-	107	0.0127%	0.6666%	1.5616%	0.2696%	0.0021%	-
108	0.0002%	0.0791%	1.3642%	1.6544%	0.0877%	-	108	0.0113%	0.6311%	1.5775%	0.2905%	0.0024%	-
109	0.0002%	0.0691%	1.2989%	1.7182%	0.0997%	-	109	0.0100%	0.5966%	1.5911%	0.3126%	0.0027%	-
110	0.0001%	0.0602%	1.2333%	1.7801%	0.1131%	-	110	0.0088%	0.5631%	1.6023%	0.3358%	0.0031%	-
111	0.0001%	0.0523%	1.1675%	1.8395%	0.1281%	-	111	0.0078%	0.5307%	1.6111%	0.3601%	0.0036%	-
112	0.0001%	0.0453%	1.1021%	1.8960%	0.1447%	-	112	0.0069%	0.4994%	1.6174%	0.3856%	0.0041%	-
113	0.0001%	0.0391%	1.0372%	1.9493%	0.1631%	-	113	0.0060%	0.4692%	1.6212%	0.4123%	0.0046%	-
114	0.0000%	0.0336%	0.9732%	1.9988%	0.1835%	-	114	0.0053%	0.4402%	1.6224%	0.4402%	0.0053%	-
115	0.0000%	0.0288%	0.9104%	2.0443%	0.2060%	-	115	0.0046%	0.4123%	1.6212%	0.4692%	0.0060%	-
116	0.0000%	0.0246%	0.8490%	2.0852%	0.2308%	-	116	0.0041%	0.3856%	1.6174%	0.4994%	0.0069%	-
117	0.0000%	0.0209%	0.7892%	2.1213%	0.2580%	-	117	0.0036%	0.3601%	1.6111%	0.5307%	0.0078%	-
118	0.0000%	0.0177%	0.7313%	2.1522%	0.2879%	-	118	0.0031%	0.3358%	1.6023%	0.5631%	0.0088%	-
119	0.0000%	0.0149%	0.6754%	2.1776%	0.3205%	-	119	0.0027%	0.3126%	1.5911%	0.5966%	0.0100%	-
120	0.0000%	0.0126%	0.6218%	2.1971%	0.3561%	-	120	0.0024%	0.2905%	1.5775%	0.6311%	0.0113%	-
121	0.0000%	0.0105%	0.5704%	2.2107%	0.3948%	-	121	0.0021%	0.2696%	1.5616%	0.6666%	0.0127%	-
122	0.0000%	0.0088%	0.5214%	2.2180%	0.4367%	-	122	0.0018%	0.2498%	1.5434%	0.7031%	0.0144%	-
123	0.0000%	0.0073%	0.4750%	2.2189%	0.4821%	-	123	0.0015%	0.2310%	1.5230%	0.7405%	0.0162%	-
124	0.0000%	0.0060%	0.4311%	2.2134%	0.5310%	-	124	0.0013%	0.2134%	1.5005%	0.7786%	0.0182%	-
125	0.0000%	0.0049%	0.3898%	2.2013%	0.5836%	-	125	0.0012%	0.1967%	1.4760%	0.8175%	0.0204%	-
126	0.0000%	0.0040%	0.3511%	2.1827%	0.6400%	-	126	0.0010%	0.1811%	1.4496%	0.8571%	0.0229%	-
127	0.0000%	0.0033%	0.3150%	2.1576%	0.7002%	-	127	0.0009%	0.1664%	1.4214%	0.8973%	0.0257%	-
128	0.0000%	0.0027%	0.2814%	2.1261%	0.7643%	-	128	0.0007%	0.1527%	1.3915%	0.9379%	0.0287%	-
129	0.0000%	0.0021%	0.2504%	2.0884%	0.8324%	-	129	0.0006%	0.1398%	1.3600%	0.9789%	0.0321%	-
130	0.0000%	0.0017%	0.2218%	2.0448%	0.9044%	-	130	0.0005%	0.1279%	1.3271%	1.0202%	0.0358%	-
131	0.0000%	0.0014%	0.1956%	1.9954%	0.9802%	-	131	0.0005%	0.1167%	1.2928%	1.0616%	0.0399%	-
132	0.0000%	0.0011%	0.1717%	1.9405%	1.0598%	-	132	0.0004%	0.1064%	1.2574%	1.1030%	0.0444%	-
133	0.0000%	0.0008%	0.1500%	1.8807%	1.1430%	-	133	0.0003%	0.0967%	1.2209%	1.1444%	0.0493%	-
134	0.0000%	0.0007%	0.1303%	1.8161%	1.2297%	-	134	0.0003%	0.0878%	1.1835%	1.1855%	0.0548%	-
135	0.0000%	0.0005%	0.1127%	1.7473%	1.3196%	-	135	0.0002%	0.0796%	1.1453%	1.2262%	0.0607%	-
136	0.0000%	0.0004%	0.0969%	1.6747%	1.4124%	-	136	0.0002%	0.0720%	1.1065%	1.2664%	0.0672%	-
137	0.0000%	0.0003%	0.0828%	1.5989%	1.5077%	-	137	0.0002%	0.0650%	1.0672%	1.3059%	0.0743%	-
138	0.0000%	0.0002%	0.0704%	1.5204%	1.6053%	-	138	0.0001%	0.0586%	1.0275%	1.3446%	0.0821%	-
139	0.0000%	0.0002%	0.0595%	1.4397%	1.7046%	-	139	0.0001%	0.0528%	0.9876%	1.3824%	0.0905%	-
140	0.0000%	0.0001%	0.0499%	1.3573%	1.8050%	-	140	0.0001%	0.0474%	0.9475%	1.4190%	0.0997%	-
141	0.0000%	0.0001%	0.0416%	1.2739%	1.9061%	-	141	0.0001%	0.0424%	0.9075%	1.4543%	0.1097%	-
142	0.0000%	0.0001%	0.0344%	1.1901%	2.0072%	-	142	0.0001%	0.0380%	0.8676%	1.4881%	0.1205%	-
143	0.0000%	0.0000%	0.0282%	1.1062%	2.1075%	-	143	0.0001%	0.0339%	0.8280%	1.5204%	0.1322%	-
144	0.0000%	0.0000%	0.0230%	1.0231%	2.2063%	-	144	0.0001%	0.0302%	0.7887%	1.5509%	0.1449%	-
145	0.0000%	0.0000%	0.0185%	0.9410%	2.3029%	-	145	0.0000%	0.0268%	0.7499%	1.5795%	0.1586%	-
146	0.0000%	0.0000%	0.0148%	0.8607%	2.3962%	-	146	0.0000%	0.0238%	0.7117%	1.6060%	0.1733%	-
147	0.0000%	0.0000%	0.0117%	0.7825%	2.4854%	-	147	0.0000%	0.0211%	0.6742%	1.6303%	0.1893%	-
148	0.0000%	0.0000%	0.0092%	0.7070%	2.5695%	-	148	0.0000%	0.0186%	0.6374%	1.6524%	0.2064%	-
149	0.0000%	0.0000%	0.0071%	0.6345%	2.6474%	-	149	0.0000%	0.0164%	0.6015%	1.6719%	0.2247%	-
150	0.0000%	0.0000%	0.0055%	0.5654%	2.7182%	-	150	0.0000%	0.0144%	0.5665%	1.6889%	0.2444%	-
151	0.0000%	0.0000%	0.0041%	0.4999%	2.7808%	-	151	0.0000%	0.0126%	0.5324%	1.7032%	0.2655%	-
152	0.0000%	0.0000%	0.0031%	0.4385%	2.8339%	-	152	0.0000%	0.0111%	0.4994%	1.7147%	0.2880%	-
153	0.0000%	0.0000%	0.0023%	0.3813%	2.8767%	-	153	0.0000%	0.0096%	0.4675%	1.7234%	0.3120%	-
154	0.0000%	0.0000%	0.0016%	0.3285%	2.9079%	-	154	0.0000%	0.0084%	0.4367%	1.7291%	0.3376%	-
155	0.0000%	0.0000%	0.0012%	0.2801%	2.9265%	-	155	0.0000%	0.0073%	0.4070%	1.7318%	0.3648%	-
156	0.0000%	0.0000%	0.0008%	0.2362%	2.9315%	-	156	0.0000%	0.0063%	0.3786%	1.7315%	0.3936%	-
157	0.0000%	0.0000%	0.0005%	0.1967%	2.9219%	-	157	0.0000%	0.0055%	0.3513%	1.7280%	0.4242%	-
158	0.0000%	0.0000%	0.0004%	0.1617%	2.8968%	-	158	0.0000%	0.0047%	0.3253%	1.7215%	0.4566%	-
159	0.0000%	0.0000%	0.0002%	0.1310%	2.8554%	-	159	0.0000%	0.0040%	0.3005%	1.7119%	0.4907%	-
160	0.0000%	0.0000%	0.0001%	0.1044%	2.7972%	-	160	0.0000%	0.0034%	0.2770%	1.6991%	0.5267%	-
161	0.0000%	0.0000%	0.0001%	0.0817%	2.7216%	-	161	0.0000%	0.0029%	0.2546%	1.6833%	0.5645%	-
162	0.0000%	0.0000%	0.0001%	0.0627%	2.6283%	-	162	0.0000%	0.0025%	0.2335%	1.6645%	0.6042%	-
163	0.0000%	0.0000%	0.0000%	0.0469%	2.5173%	-	163	0.0000%	0.0021%	0.2136%	1.6426%	0.6457%	-
164	0.0000%	0.0000%	0.0000%	0.0342%	2.3888%	-	164	0.0000%	0.0018%	0.1949%	1.6179%	0.6891%	-
165	0.0000%	0.0000%	0.0000%	0.0242%	2.2434%	-	165	0.0000%	0.0015%	0.1774%	1.5904%	0.7344%	-
166	0.0000%	0.0000%	0.0000%	0.0165%	2.0819%	-	166	0.0000%	0.0013%	0.1610%	1.5602%	0.7815%	-
167	0.0000%	0.0000%	0.0000%	0.0107%	1.9058%	-	167	0.0000%	0.0011%	0.1457%	1.5274%	0.8303%	-
168	0.0000%	0.0000%	0.0000%	0.0066%	1.7167%	-	168	0.0000%	0.0009%	0.1315%	1.4921%	0.8809%	-
169	0.0000%	0.0000%	0.0000%	0.0038%	1.5172%	-	169	0.0000%	0.0007%	0.1183%	1.4545%	0.9331%	-
170	0.0000%	0.0000%	0.0000%	0.0020%	1.3100%	-	170	0.0000%	0.0006%	0.1061%	1.4148%	0.9869%	-
171	0.0000%	0.0000%	0.0000%	0.0009%	1.0989%	-	171	0.0000%	0.0005%	0.0949%	1.3730%	1.0422%	-
172	0.0000%	0.0000%	0.0000%	0.0004%	0.8882%	-	172	0.0000%	0.0004%	0.0846%	1.3294%	1.0988%	-
173	0.0000%	0.0000%	0.0000%	0.0001%	0.6833%	-	173	0.0000%	0.0003%	0.0751%	1.2842%	1.1567%	-
174	0.0000%	0.0000%	0.0000%	0.0000%	0.4902%	-	174	0.0000%	0.0003%	0.0665%	1.2375%	1.2156%	-
175	0.0000%	0.0000%	0.0000%	0.0000%	0.3163%	-	175	0.0000%	0.0002%	0.0586%	1.1896%	1.2755%	-
176	0.0000%	0.0000%	0.0000%	0.0000%	0.1700%	-	176	0.0000%	0.0002%	0.0515%	1.1406%	1.3362%	-
177	0.0000%	0.0000%	0.0000%	0.0000%	0.0609%	-	177	0.0000%	0.0001%	0.0451%	1.0908%	1.3974%	-
-	-	-	-	-	-	-	178	0.0000%	0.0001%	0.0393%	1.0403%	1.4589%	-
-	-	-	-	-	-	-	179	0.0000%	0.0001%	0.0341%	0.9894%	1.5205%	-
-	-	-	-	-	-	-	180	0.0000%	0.0001%	0.0295%	0.9383%	1.5820%	-
-	-	-	-	-	-	-	181	0.0000%	0.0001%	0.0254%	0.8872%	1.6430%	-
-	-	-	-	-	-	-	182	0.0000%	0.0000%	0.0217%	0.8363%	1.7034%	-
-	-	-	-	-	-	-	183	0.0000%	0.0000%	0.0185%	0.7859%	1.7628%	-
-	-	-	-	-	-	-	184	0.0000%	0.0000%	0.0157%	0.7360%	1.8208%	-
-	-	-	-	-	-	-	185	0.0000%	0.0000%	0.0132%	0.6869%	1.8772%	-
-	-	-	-	-	-	-	186	0.0000%	0.0000%	0.0111%	0.6388%	1.9315%	-
-	-	-	-	-	-	-	187	0.0000%	0.0000%	0.0092%	0.5918%	1.9836%	-
-	-	-	-	-	-	-	188	0.0000%	0.0000%	0.0077%	0.5462%	2.0328%	-
-	-	-	-	-	-	-	189	0.0000%	0.0000%	0.0063%	0.5020%	2.0789%	-
-	-	-	-	-	-	-	190	0.0000%	0.0000%	0.0051%	0.4594%	2.1215%	-
-	-	-	-	-	-	-	191	0.0000%	0.0000%	0.0042%	0.4185%	2.1602%	-
-	-	-	-	-	-	-	192	0.0000%	0.0000%	0.0034%	0.3795%	2.1946%	-
-	-	-	-	-	-	-	193	0.0000%	0.0000%	0.0027%	0.3423%	2.2242%	-
-	-	-	-	-	-	-	194	0.0000%	0.0000%	0.0021%	0.3072%	2.2486%	-
-	-	-	-	-	-	-	195	0.0000%	0.0000%	0.0017%	0.2741%	2.2676%	-
-	-	-	-	-	-	-	196	0.0000%	0.0000%	0.0013%	0.2432%	2.2805%	-
-	-	-	-	-	-	-	197	0.0000%	0.0000%	0.0010%	0.2143%	2.2872%	-
-	-	-	-	-	-	-	198	0.0000%	0.0000%	0.0007%	0.1876%	2.2871%	-
-	-	-	-	-	-	-	199	0.0000%	0.0000%	0.0006%	0.1631%	2.2800%	-
-	-	-	-	-	-	-	200	0.0000%	0.0000%	0.0004%	0.1406%	2.2655%	-
-	-	-	-	-	-	-	201	0.0000%	0.0000%	0.0003%	0.1202%	2.2433%	-
-	-	-	-	-	-	-	202	0.0000%	0.0000%	0.0002%	0.1019%	2.2133%	-
-	-	-	-	-	-	-	203	0.0000%	0.0000%	0.0001%	0.0855%	2.1751%	-
-	-	-	-	-	-	-	204	0.0000%	0.0000%	0.0001%	0.0709%	2.1286%	-
-	-	-	-	-	-	-	205	0.0000%	0.0000%	0.0001%	0.0582%	2.0737%	-
-	-	-	-	-	-	-	206	0.0000%	0.0000%	0.0000%	0.0471%	2.0104%	-
-	-	-	-	-	-	-	207	0.0000%	0.0000%	0.0000%	0.0376%	1.9387%	-
-	-	-	-	-	-	-	208	0.0000%	0.0000%	0.0000%	0.0295%	1.8587%	-
-	-	-	-	-	-	-	209	0.0000%	0.0000%	0.0000%	0.0228%	1.7707%	-
-	-	-	-	-	-	-	210	0.0000%	0.0000%	0.0000%	0.0172%	1.6750%	-
-	-	-	-	-	-	-	211	0.0000%	0.0000%	0.0000%	0.0127%	1.5720%	-
-	-	-	-	-	-	-	212	0.0000%	0.0000%	0.0000%	0.0091%	1.4623%	-
-	-	-	-	-	-	-	213	0.0000%	0.0000%	0.0000%	0.0064%	1.3467%	-
-	-	-	-	-	-	-	214	0.0000%	0.0000%	0.0000%	0.0043%	1.2260%	-
-	-	-	-	-	-	-	215	0.0000%	0.0000%	0.0000%	0.0027%	1.1013%	-
-	-	-	-	-	-	-	216	0.0000%	0.0000%	0.0000%	0.0017%	0.9739%	-
-	-	-	-	-	-	-	217	0.0000%	0.0000%	0.0000%	0.0010%	0.8452%	-
-	-	-	-	-	-	-	218	0.0000%	0.0000%	0.0000%	0.0005%	0.7168%	-
-	-	-	-	-	-	-	219	0.0000%	0.0000%	0.0000%	0.0002%	0.5908%	-
-	-	-	-	-	-	-	220	0.0000%	0.0000%	0.0000%	0.0001%	0.4694%	-
-	-	-	-	-	-	-	221	0.0000%	0.0000%	0.0000%	0.0000%	0.3550%	-
-	-	-	-	-	-	-	222	0.0000%	0.0000%	0.0000%	0.0000%	0.2505%	-
-	-	-	-	-	-	-	223	0.0000%	0.0000%	0.0000%	0.0000%	0.1590%	-
-	-	-	-	-	-	-	224	0.0000%	0.0000%	0.0000%	0.0000%	0.0841%	-
-	-	-	-	-	-	-	225	0.0000%	0.0000%	0.0000%	0.0000%	0.0296%	-

Continues...

The One Over None
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JADELottery

Native American Eagle Sun

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May 17, 2015, 3:44 pm

Using the Mega Millions we can look up the probabilities a particular Insequence Sum was likely to occur.

Year	Month	Day	A	B	C	D	E	MB
2015	5	8	9	21	25	66	72	7
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15
-	-	Sum	34	68	79	138	190	24

Looking a the Mega Ball (MB) to start, we can see the Insequence Sum is 24.

In the Mega Millions probability chart we find there was a 5.0074% probability of a sum 24 happening.

Mega Millions
Sum	A	B	C	D	E	MB
24	2.1286%	0.0709%	0.0001%	0.0000%	0.0000%	5.0074%

Also, this just happens to be the most frequent Insequence Sum for the Mega Ball.

Continues...

The One Over None
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JADELottery

Native American Eagle Sun

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May 17, 2015, 4:09 pm

Quote: Originally posted by SergeM on May 17, 2015

0	0	0	0
1	3	2	3
2	7	6	4
3	7	9	7
4	10	9	16
5	16	34	17
6	32	36	32
7	44	46	43
8	60	60	63
9	67	93	85
10	83	100	123
11	131	123	129
12	131	176	157
13	170	186	181
14	164	215	225
15	216	208	214
16	267	229	229
17	231	260	252
18	254	238	250
19	242	255	213
20	253	236	228
21	229	262	235
22	214	207	196
23	210	172	195
24	178	138	166
25	132	120	118
26	118	94	104
27	93	83	84
28	58	50	51
29	54	30	42
30	32	30	36
31	26	23	15
32	12	9	17
33	6	8	14
34	4	5	5
35	1	2	5
36	0	1	1

Is there a reason why you picked 4 drawings for the vertical sum?

That sum can range from 0 to 36.

What did you find in it that is worth a bet?

Local vertical sums for four drawings are above.

We used 4 draws to show the Insequence Sums move down the draw sequence.

It's just a sum of only 3 numbers as shown below.

Draw	A	B	C
1	0	5	9
↓	↓	↓	↓
2	7	9	1
↓	↓	↓	↓
3	8	8	8
↓	↓	↓	↓
Sum	15	22	18

the next three sum in our example draws is:

Draw	A	B	C
2	7	9	1
↓	↓	↓	↓
3	8	8	8
↓	↓	↓	↓
4	2	3	1
↓	↓	↓	↓
Sum	17	20	10

note the three sums has moved down the draws.

The One Over None
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JADELottery

Native American Eagle Sun

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May 17, 2015, 4:28 pm

Quote: Originally posted by JADELottery on May 17, 2015

Using the Mega Millions we can look up the probabilities a particular Insequence Sum was likely to occur.

Year	Month	Day	A	B	C	D	E	MB
2015	5	8	9	21	25	66	72	7
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15
-	-	Sum	34	68	79	138	190	24

Looking a the Mega Ball (MB) to start, we can see the Insequence Sum is 24.

In the Mega Millions probability chart we find there was a 5.0074% probability of a sum 24 happening.

Mega Millions
Sum	A	B	C	D	E	MB
24	2.1286%	0.0709%	0.0001%	0.0000%	0.0000%	5.0074%

Also, this just happens to be the most frequent Insequence Sum for the Mega Ball.

Continues...

Moving on we can see what the probabilies were for each of the columns.

Year	Month	Day	A	B	C	D	E	MB
2015	5	8	9	21	25	66	72	7
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15
-	-	Sum	34	68	79	138	190	24

The probabilities for each Insequence Sum.

/	Mega Millions
/	A	B	C	D	E	MB
Sum	34	68	79	138	190	24
Proability	2.2486%	1.6991%	0.6015%	1.3446%	2.1215%	5.0074%

Continues...

The One Over None
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JADELottery

Native American Eagle Sun

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May 17, 2015, 4:50 pm

Quote: Originally posted by destinycreation on May 17, 2015

How do you use any of this analysis to figure out what numbers to play for the next PB/MM game ???

We will be getting to that in a bit.

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JADELottery

Native American Eagle Sun

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May 17, 2015, 7:03 pm

We use the Insequence Sums and Probability tables to select numbers for the next drawing.

Below are the last two Mega Millions draws as of 2015-05-17.

Year	Month	Day	A	B	C	D	E	MB
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15

From this the next draw is unknown.

Year	Month	Day	A	B	C	D	E	MB
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15
2015	5	19	??	??	??	??	??	??

However, we do know the Insequence Sums.

This becomes a matter of 'What comes next?' based on what we know about the previous two draws and the Insequence Sums.

We will look at the Mega Ball (MB) to start.

The last two MB numbers were 2 and 15.

This can be setup as an equation like this: 2 + 15 + ?? = Sum

The Sum is already known and we know the probabilities of each Sum.

Now, we can guess the next MB ?? by subtracting 2 and 15 from the Sum like so: ?? = Sum - 2 - 17

Continues...

The One Over None
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JADELottery

Native American Eagle Sun

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May 17, 2015, 7:52 pm

Quote: Originally posted by JADELottery on May 17, 2015

We use the Insequence Sums and Probability tables to select numbers for the next drawing.

Below are the last two Mega Millions draws as of 2015-05-17.

Year	Month	Day	A	B	C	D	E	MB
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15

From this the next draw is unknown.

Year	Month	Day	A	B	C	D	E	MB
2015	5	12	14	30	33	36	44	2
2015	5	15	11	17	21	36	74	15
2015	5	19	??	??	??	??	??	??

However, we do know the Insequence Sums.

This becomes a matter of 'What comes next?' based on what we know about the previous two draws and the Insequence Sums.

We will look at the Mega Ball (MB) to start.

The last two MB numbers were 2 and 15.

This can be setup as an equation like this: 2 + 15 + ?? = Sum

The Sum is already known and we know the probabilities of each Sum.

Now, we can guess the next MB ?? by subtracting 2 and 15 from the Sum like so: ?? = Sum - 2 - 17

Continues...

typo in the last post.

The equation should be ?? = Sum - 2 - 15.

The One Over None
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