Lexicographical Ordering

[Alcymart]

I would like to have everyones opinion on if having a place that
would show in EL the Lexicographical order of drawn combinations
and if you think it could be usefull statistically? I know we
already have a lot of stats but if someone can see something it
could be used to increase our odds in any type lottery, please
feel free to post your comments and ideas.

Here is the Lexicographical order of my lotto Quebec 6/49... last
225 draws...


Line D R A W Lexicographical
no. Order
1: 24 25 27 29 32 39 13,755,611
2: 4 21 41 42 46 48 5,740,367
3: 18 26 30 31 32 36 13,209,045
4: 2 5 8 11 20 44 2,050,118
5: 5 7 32 40 42 46 6,071,608
6: 14 18 19 23 24 39 12,160,430
7: 8 27 35 37 38 44 9,459,813
8: 12 21 41 42 44 47 11,560,635
9: 11 14 26 31 32 37 10,888,684
10: 1 3 11 20 29 36 263,878
11: 17 19 23 33 35 47 12,919,515
12: 4 5 9 23 24 48 4,658,457
13: 7 10 12 20 29 41 8,092,376
14: 1 2 13 18 34 47 114,858
15: 20 23 26 28 30 35 13,432,646
16: 21 34 35 41 43 44 13,602,996
17: 11 16 34 36 37 40 10,984,073
18: 2 3 6 20 30 37 1,748,242
19: 12 14 21 31 38 41 11,313,046
20: 12 20 21 28 31 44 11,518,314
21: 5 16 24 28 33 34 6,673,313
22: 2 17 22 35 45 47 3,026,945
23: 5 10 20 29 33 36 6,323,983
24: 1 10 12 22 25 35 1,067,287
25: 5 19 22 30 40 47 6,763,701
26: 9 14 23 26 40 42 9,804,040
27: 6 13 27 40 43 48 7,502,955
28: 8 10 12 30 36 47 8,844,577
29: 13 16 17 26 38 42 11,760,895
30: 20 28 29 40 45 49 13,483,512
31: 4 20 22 23 37 40 5,699,776
32: 31 33 39 41 43 49 13,960,603
33: 4 8 20 23 27 38 5,062,765
34: 2 11 19 36 44 46 2,716,597
35: 12 26 28 30 33 34 11,618,294
36: 4 16 30 33 46 49 5,596,981
37: 4 8 15 17 26 46 5,037,766
38: 5 11 19 20 26 40 6,391,501
39: 17 25 28 29 32 41 13,027,851
40: 9 15 16 28 39 42 9,824,878
41: 6 14 27 29 30 32 7,554,087
42: 5 13 28 41 42 47 6,541,708
43: 3 9 18 24 40 41 3,925,180
44: 4 14 29 30 39 42 5,508,258
45: 2 6 8 13 40 46 2,175,196
46: 3 12 13 33 37 45 4,121,565
47: 5 16 20 22 33 42 6,660,625
48: 7 15 19 31 35 45 8,431,458
49: 1 5 14 27 28 38 572,175
50: 11 24 25 34 35 42 11,158,826
51: 5 11 13 15 29 33 6,357,727
52: 13 35 37 39 44 49 12,033,397
53: 2 16 17 21 28 31 2,969,443
54: 3 15 16 30 35 46 4,296,758
55: 5 9 17 18 43 44 6,226,281
56: 6 16 17 20 31 45 7,610,255
57: 4 11 12 23 43 45 5,268,150
58: 10 14 16 35 42 49 10,355,256
59: 10 17 33 35 40 46 10,517,594
60: 8 13 21 28 33 46 9,088,508
61: 11 17 25 26 38 40 11,009,298
62: 7 18 19 24 33 49 8,538,294
63: 1 12 13 17 41 46 1,212,511
64: 5 10 12 17 24 35 6,277,688
65: 6 11 18 32 35 38 7,353,173
66: 10 11 12 19 26 30 10,148,874
67: 7 23 24 45 47 49 8,659,595
68: 10 17 31 35 44 47 10,516,381
69: 5 7 15 22 25 37 6,024,507
70: 3 7 33 34 38 42 3,763,992
71: 2 6 21 28 32 49 2,261,704
72: 22 26 33 36 40 47 13,652,013
73: 5 12 17 23 30 31 6,450,118
74: 2 20 34 45 48 49 3,126,119
75: 25 31 36 42 45 48 13,839,895
76: 2 12 15 22 32 39 2,760,899
77: 6 9 11 26 29 42 7,153,571
78: 8 15 22 25 28 40 9,189,379
79: 8 11 25 32 37 38 8,974,103
80: 12 14 17 27 36 42 11,296,815
81: 1 16 22 28 32 39 1,455,942
82: 21 26 29 31 36 48 13,567,687
83: 12 13 18 23 27 47 11,247,742
84: 13 17 25 42 45 46 11,823,978
85: 5 18 22 23 29 30 6,734,494
86: 1 2 23 25 27 28 161,139
87: 3 11 13 17 39 47 4,051,143
88: 8 9 18 22 33 49 8,794,910
89: 11 13 20 21 29 42 10,818,919
90: 5 34 43 44 47 49 6,921,735
91: 1 12 15 24 32 38 1,227,584
92: 5 9 12 36 42 48 6,200,403
93: 5 10 20 34 42 44 6,324,775
94: 16 18 36 41 44 49 12,705,556
95: 5 15 25 35 40 46 6,635,479
96: 21 38 40 47 48 49 13,606,488
97: 1 10 11 12 18 35 1,054,483
98: 8 12 22 27 42 43 9,032,414
99: 4 14 17 33 40 44 5,477,563
100: 12 27 32 35 40 44 11,629,913
101: 8 14 15 41 42 48 9,116,342
102: 10 21 23 45 46 49 10,607,956
103: 4 11 17 21 36 48 5,297,499
104: 5 6 9 16 29 42 5,865,123
105: 12 21 29 33 46 47 11,555,342
106: 5 17 18 38 40 46 6,691,719
107: 12 22 25 27 28 33 11,565,910
108: 16 29 32 34 40 48 12,857,872
109: 5 13 14 17 18 32 6,489,970
110: 1 8 18 29 42 44 930,275
111: 3 6 13 18 25 37 3,590,711
112: 14 23 24 25 29 49 12,280,012
113: 13 21 31 33 36 38 11,934,035
114: 5 11 12 13 43 44 6,349,617
115: 19 22 29 31 40 48 13,303,613
116: 12 16 27 31 38 49 11,413,510
117: 1 6 16 29 31 48 707,492
118: 8 9 12 14 29 45 8,756,636
119: 24 27 30 37 45 46 13,776,277
120: 8 12 26 27 32 40 9,040,991
121: 21 23 24 27 43 47 13,527,089
122: 2 3 11 15 42 46 1,795,666
123: 4 7 8 16 44 48 4,881,351
124: 9 14 36 41 42 47 9,820,010
125: 11 12 18 28 33 45 10,754,319
126: 1 3 5 6 11 16 192,722
127: 2 5 9 26 28 47 2,066,862
128: 1 7 8 13 34 42 753,114
129: 1 8 12 26 33 47 894,968
130: 12 21 37 42 43 45 11,560,203
131: 5 27 28 36 40 49 6,892,123
132: 1 16 30 38 40 47 1,470,889
133: 16 26 32 34 39 41 12,839,711
134: 4 9 14 17 24 45 5,123,124
135: 3 22 28 39 42 43 4,530,135
136: 6 10 15 31 32 37 7,264,265
137: 16 30 41 46 47 48 12,864,547
138: 5 13 14 21 37 42 6,492,063
139: 10 14 17 35 37 39 10,360,161
140: 6 13 31 39 43 46 7,507,172
141: 25 27 30 33 39 41 13,818,397
142: 3 18 25 26 27 31 4,434,440
143: 11 14 20 28 39 46 10,873,374
144: 6 16 22 31 37 48 7,631,593
145: 14 15 16 24 31 32 12,039,010
146: 6 7 16 18 34 38 6,991,163
147: 14 30 33 39 41 44 12,347,055
148: 27 31 34 38 48 49 13,899,105
149: 2 3 20 25 30 43 1,849,537
150: 4 9 16 41 45 48 5,139,765
151: 13 23 24 27 29 40 11,955,855
152: 1 12 14 29 30 42 1,222,729
153: 2 14 18 31 36 47 2,889,250
154: 7 24 35 41 46 47 8,683,838
155: 1 5 10 22 25 46 540,841
156: 4 7 25 30 36 47 4,976,413
157: 2 12 30 33 34 44 2,805,800
158: 7 12 17 23 25 31 8,263,279
159: 10 28 32 33 41 46 10,697,873
160: 1 9 20 24 42 46 1,028,221
161: 2 4 10 12 21 42 1,934,078
162: 18 23 39 41 47 48 13,181,487
163: 8 10 26 31 32 44 8,901,859
164: 3 16 22 31 43 48 4,361,279
165: 5 18 23 25 36 37 6,737,789
166: 3 7 8 17 21 30 3,659,702
167: 2 5 7 8 14 34 2,037,035
168: 2 18 24 27 32 38 3,061,995
169: 4 7 31 35 41 44 4,984,631
170: 2 11 27 28 29 49 2,735,466
171: 1 16 18 43 48 49 1,443,483
172: 3 16 34 40 41 48 4,378,183
173: 4 6 21 24 27 41 4,853,144
174: 10 15 30 34 35 48 10,438,514
175: 12 39 40 44 45 48 11,658,637
176: 4 12 21 35 38 49 5,381,965
177: 8 14 25 27 30 44 9,150,454
178: 10 11 17 18 33 38 10,178,665
179: 2 7 22 25 38 44 2,375,941
180: 1 6 11 25 29 33 673,661
181: 8 11 18 22 37 40 8,951,021
182: 13 16 34 38 42 48 11,797,136
183: 9 16 19 37 39 45 9,880,426
184: 5 17 21 23 24 49 6,700,013
185: 1 13 14 18 27 42 1,278,219
186: 10 14 30 36 40 46 10,392,360
187: 21 24 28 29 32 41 13,546,677
188: 2 8 14 26 28 47 2,442,502
189: 11 17 19 20 39 48 10,990,654
190: 2 16 24 31 33 38 2,995,310
191: 9 24 31 33 35 45 10,088,591
192: 17 18 34 36 45 47 12,906,054
193: 14 24 40 41 45 46 12,307,335
194: 7 20 24 30 36 44 8,605,573
195: 6 19 27 28 31 37 7,736,046
196: 15 16 33 41 43 47 12,399,683
197: 11 13 18 38 42 45 10,814,488
198: 7 9 10 12 36 48 7,989,922
199: 3 4 34 39 40 41 3,393,709
200: 15 26 32 33 37 49 12,602,257
201: 4 16 17 23 24 28 5,562,539
202: 8 22 24 30 33 45 9,392,955
203: 4 15 17 37 39 47 5,524,273
204: 4 6 19 37 41 47 4,848,503
205: 10 13 26 27 42 43 10,333,779
206: 7 11 20 22 30 43 8,209,235
207: 6 13 14 19 21 49 7,453,572
208: 7 8 10 12 15 45 7,898,046
209: 5 23 24 26 35 41 6,844,464
210: 18 24 32 39 43 45 13,191,886
211: 1 10 22 31 34 46 1,118,073
212: 2 7 12 19 30 47 2,325,297
213: 14 17 19 36 43 48 12,131,573
214: 12 15 19 20 24 30 11,349,398
215: 13 25 33 35 39 46 11,991,288
216: 4 6 19 32 33 35 4,847,939
217: 2 12 13 19 35 43 2,747,284
218: 10 15 16 22 46 48 10,399,088
219: 2 4 16 22 44 46 1,980,626
220: 7 12 13 20 22 27 8,239,201
221: 11 16 17 19 24 29 10,945,459
222: 16 18 20 21 46 48 12,679,306
223: 4 5 6 35 40 47 4,628,936
224: 2 10 28 38 39 48 2,664,290
225: 9 11 13 27 38 42 9,582,987

[stan]

i don't think that lexicographical order has much value. it's more interesting to watch how the current order index differ from the one from the previous draw - see ticket index movement stats and filter...

[Alcymart]

I agree with you Stan, I just thought that maybe we could use this to our advantage in the future...who knows....

I didn't come up with anything usefull for this. Let's focus on the expectancy column. I really think that the expectancy column will yield much deeper safe filtering for everyone. Lottery commissions can't fool us on that. It's the law of distribution and will work for any lottery. With the expectancy column and perhaps a better integrated way to play pick 3/4, Expert Lotto will actually be the best Lotto software on the market. As for Keno, we will find some work around eventually to make it work perfectly.I think it should actually sell for more than it is now once all this is done. I have seen softwares with 50% of the features EL has and sell over $100. Word is getting around on how exceptional EL is becoming on LP and other places. I am happy to have purchased Expert Lotto before the price will go up, but I must say this... Even at $300, I would of still bought it.It will have all the tools one could desire in a lotto software. I am serious. I paid over $1000 for all the lotto softwares I have, but only use Expert Lotto and I win!! I don't play many tickets either. I did try to generate tickets with Expert Lotto on paper for fun to see if I would win more with more tickets... The answer is bigger prizes yes,but not more smaller prizes. It homes in on the jackpot more than anything else I guess. But that figures since I use the WN History filter most times. People will say that -40+40 leaves too many tickets, but what they don't calculate is that it filtered many thousands of combinations that will not come out safely. It can't get any better than this. Expectancy filtering will filter deep and safely too.

just my 2 cents...

[stan]

[quote=Alcymart]
I agree with you Stan, I just thought that maybe we could use this to our advantage in the future...who knows....
[/quote]

we've just stumbled upon this page:
http://www.volny.cz/vyhra/sportka.html
it's all in czech so ignore the text. but look at the chart - the horizontal line are draws, the vertical line is the lexicographical order index you mentioned. the software from that company is trying to find some trends in that chart. (they even use our old software for some processing:)
so i'll try to add another stats module that shows a similar chart, it should be just a few lines of code. but it'll be up to you to find the trends...

many thanks for the words of praise :red:
as long as we're having fun developing expert lotto we'll keep trying to make it even better.

and please, do tell your friends about our software. every license sold is something we can show to our wifes and girl friends that we're not 'wasting' our time at the computer

[Alcymart]

Yes, that's an interesting chart they have. If last draw has a low lexicograpghic number, then next draw has to be higher in all probability. Makes sense to me. After seeing this , I looked at my own lexicographical order and that's what happens. It's like a deck of cards. If the 2 of any suit comes up 1st, then the next card would be higher in all probability. We could have a median in there, and expectation column etc... and actually, I say a big YES to research this further Stan.

I don't think we are wasting our time at the PC. We are having fun and it is a hobby. One can play on paper and see how much they would of won having played. It was really exciting to see all 6 numbers back in May when back testing with expectation of sums from the charts. It was only 50 best tickets out of 3000. I immediately called my wife and she couldn't talk anymore. I asked her "do you think I am wasting my time now?"...she responded "C'mon, get the 6 numbers for the next draw"..LOL

Oh, yes, I will get the big one, but for this we need expectation column. Expectancy column added through all charts will do it for us I think. Future stats updates must have to do with true distribution probability as I don't see enough of that in EL.

The best stat I find is ticket position and with expectation column in there, EL is going to make a killing! Numbers predicted by using expectation in those charts works all the time. Last draw, I won 4/6 again doing that, but I have to go through the charts and chart the distribution probability of all combinations and compare them and do a little math and bingo! I always hit something.

No big prizes yet, but when I will, I will post and tell all how I did it exactly with EL. Once the expectation column is there, it will be easier to explain my method. Members can still do it, they just need to find low occurences in relation to what it is expected to reach after 14 million draws. A little math and they will know what is most likely to occur percentagewise in the next draw.

Many might think that ..sure it will happen but perhaps not next draw... I respond to that ..yes but that's only 1 filter. Add em on top of each other, and probability that numbers come out in next 10 draws is about 90%!
About 10% in the next draw according to my back testing.

One must use all the tools provided in EL. By the way, thanks for the compound filter option. If it wasn't there, I would of suggested it...LOL

[stan]

[quote=stan:1160470251]
[quote=Alcymart]
I agree with you Stan, I just thought that maybe we could use this to our advantage in the future...who knows....
[/quote]

we've just stumbled upon this page:
http://www.volny.cz/vyhra/sportka.html
it's all in czech so ignore the text. but look at the chart - the horizontal line are draws, the vertical line is the lexicographical order index you mentioned. the software from that company is trying to find some trends in that chart. (they even use our old software for some processing:)
so i'll try to add another stats module that shows a similar chart, it should be just a few lines of code. but it'll be up to you to find the trends...
[/quote]

see ticket index module at the beta downloads page

[Alcymart]

That's a nice additional filter, it works perfectly. Very handy to cut off the tails of the bell curve! Thanks for the backtesting feature!

[Simon69]

Hi Alcymart,

I wrote this ticket index digits positional filter this evening:..
http://home.tiscali.nl/lsystems/IndexDigitsFilter.zip

With this filter you can include(check)/exclude the index filter digits for
every position of the index string.

#1. Select the pool of your pick6 game.
#2. check the index-digits positions you want to filter (to leave).
#3. Filter the indexes (to leave). Next hit the show combinations button.
These combinations can be imported into EL.

This index-digits filter can be compared to e.g. the last-digits positional filter.....

Good luck,

Simon69

[Alcymart]

Thanks, I will play around with it and see if it could be usefull in some way. Its these kinds of things that are outside of the box ideas that can lead us in the right direction or not, but you sure are someone that looks into a simple idea and refine it. You have great creativity.

And to say that at first, I thought that this index filter may or may not be usefull. I did notice that we always get stuck with tails of the bell curve that rarely come out left in the package which meant lots of extra combinations that could be deleted. Sure we could of used the sums filter to filter out tails of the bell curve but this being more precise, I'll see if I can get some usefullness out of it.

Take care, and thanks. Great work!

[daniel]

Hi Simon69,
I am looking at using your index digits position filter/generator as a way of eliminating many combinations using look back matching of the first three digits of the index number or the first two digits and the last digit of the index number with the index numbers of the actual draws.
The first three index numbers gave a median look back value of 209.5 over the previous 10 draws of our 40/6 lotto for a match-back , and each 3 digit number generated 11,113 combinations.
The first two numbers and the last number of the index number gave a median look back of 307.5 over the previous 10 draws and each 3 digit number generated 21,112 combinations, from this it would appear preferable to use the first two index digits with the last digit.
To make an eliminating file to use in EL, you would have to generate a file for each of the 300 odd previous draws and append them all together and would involve a fair bit of work and be very slow in filtering a large package in EL.
Do you have any suggestions for a better way of doing this?
All the best
daniel

Edit: This is a sample of the actual draw index's. I padded the file with 0's in the first positions so there was always 7 digits index number.

0 7 0 0 7 8 7
1 2 9 5 8 5 1
1 2 6 6 1 9 2
0 6 9 2 0 5 5
0 1 0 5 9 0 8
3 1 2 0 2 1 7
3 4 4 1 5 6 4
0 0 7 4 5 7 0
3 2 5 5 5 4 4
0 4 0 6 1 1 1
2 1 6 6 7 5 0
3 5 1 5 6 9 4
2 7 2 5 1 0 1
2 4 4 6 8 7 2
3 4 1 3 8 3 8
3 3 2 3 0 7 2
0 0 7 3 8 5 4
1 7 0 8 0 2 2
1 2 4 3 1 7 9

Edit 2: Should have added 0's to last positions of the index numbers file to make up 7 digits index number. Back to the drawing board!

[stan]

[quote=Simon69]
I wrote this ticket index digits positional filter this evening:..
http://home.tiscali.nl/lsystems/IndexDigitsFilter.zip
[/quote]

ticket index digits positional filter? how does it work?

[Simon69]

Stan,

The function is very simple ;

(ticket indexes for a 6/45 game)

#1.combination 1,2,3,4,5,6 has ticket index 1 (1 digit index)
#2.combination 1,8,11,18,24,26 has ticket index 600581 (6 digits index)
#3.ombination 8,13,27,31,36,42 has ticket index 5615437 (7 digits index)

The combinations represent the following index digits positions :

p1 - p2 - p3 - p4 -p5 - p6 - p7 - p8

#1. 1 * * * * * * *
#2. 6 0 0 5 8 1 * *
#3. 5 6 1 5 4 3 7 *

The function will loop through all indexes of your game and
check if the digits of the index match the selected digits by position.

So if the ticket index is e.g. 36 (=2 digits index) only the selected position digits 1 and 2 will be filtered for matches for that index.
Ticket index 5615437 (=7 digits index) will be filtered for positions (if checked) 1 to 7.....

etc.

Simon69

[Simon69]

Hi Daniel,

Something went wrong replying you...second attempt...

I think there is a better way eliminating combinations by using odd-even and low-high patterns.

a 7 digits index (approx 87% of the combinations in a 6/45 game) has
2^7=128 odd-even and low-high patterns.

The question is how many draws (on the average) will the same pattern return?
If the answer is about 50 draws, you see, you can eliminate an enormous number of combinations almost safely.....

Good luck,

Simon69

[CSenior]

Hi Simon69,

Thanks for sharing your Index Digits Filter. If I may have one request, could you please add in the pool of 6 pull down 6/53?

Thanks,
CSenior

[Simon69]

Hi CSenior,

Done!

http://home.tiscali.nl/lsystems/IndexDigitsFilter.zip

I also added an odd/even index filter....

Good luck,

Simon69