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Offline xeroc

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GSS - Genesis Stake Statistics
« on: September 24, 2014, 07:00:05 PM »

Just wrote a quick and dirty python script to take a look at the genesis stakes
python script from here: https://github.com/xeroc/pytshares/blob/master/genesisStats.py

Code: [Select]
--------------------------------------------------------------------------------
top 10 addresses collective percentage
--------------------------------------------------------------------------------
top    1 addresses collectively own      58,783,757 BTSX (  2.94%)
top    2 addresses collectively own     116,215,883 BTSX (  5.81%)
top    3 addresses collectively own     157,771,275 BTSX (  7.89%)
top    4 addresses collectively own     190,946,909 BTSX (  9.55%)
top    5 addresses collectively own     223,154,898 BTSX ( 11.16%)
top    6 addresses collectively own     255,362,887 BTSX ( 12.77%)
top    7 addresses collectively own     282,127,577 BTSX ( 14.11%)
top    8 addresses collectively own     307,893,968 BTSX ( 15.39%)
top    9 addresses collectively own     324,971,245 BTSX ( 16.25%)
--------------------------------------------------------------------------------
top 10 addresses individual percentage
--------------------------------------------------------------------------------
top    1 addresse individually owns      58,783,757 BTSX (  2.94%)
top    2 addresse individually owns      57,432,127 BTSX (  2.87%)
top    3 addresse individually owns      41,555,392 BTSX (  2.08%)
top    4 addresse individually owns      33,175,634 BTSX (  1.66%)
top    5 addresse individually owns      32,207,989 BTSX (  1.61%)
top    6 addresse individually owns      32,207,989 BTSX (  1.61%)
top    7 addresse individually owns      26,764,689 BTSX (  1.34%)
top    8 addresse individually owns      25,766,391 BTSX (  1.29%)
top    9 addresse individually owns      17,077,277 BTSX (  0.85%)
--------------------------------------------------------------------------------
address/amount distribution
--------------------------------------------------------------------------------
address with >             10 BTSX :   40,977
address with >             30 BTSX :   36,574
address with >             50 BTSX :   34,449
address with >             70 BTSX :   31,760
address with >             90 BTSX :   30,756
address with >            100 BTSX :   30,422
address with >            300 BTSX :   26,520
address with >            500 BTSX :   24,880
address with >            700 BTSX :   21,150
address with >            900 BTSX :   20,060
address with >          1,000 BTSX :   19,694
address with >          3,000 BTSX :   14,756
address with >          5,000 BTSX :   12,634
address with >          7,000 BTSX :   11,052
address with >          9,000 BTSX :   10,091
address with >         10,000 BTSX :    9,669
address with >         30,000 BTSX :    5,062
address with >         50,000 BTSX :    3,720
address with >         70,000 BTSX :    2,938
address with >         90,000 BTSX :    2,516
address with >        100,000 BTSX :    2,365
address with >        300,000 BTSX :    1,021
address with >        500,000 BTSX :      660
address with >        700,000 BTSX :      481
address with >        900,000 BTSX :      383
address with >      1,000,000 BTSX :      344
address with >      3,000,000 BTSX :       66
address with >      5,000,000 BTSX :       35
address with >      7,000,000 BTSX :       25
address with >      9,000,000 BTSX :       20
address with >     10,000,000 BTSX :       17
address with >     30,000,000 BTSX :        6
address with >     50,000,000 BTSX :        2



« Last Edit: September 26, 2014, 05:32:41 PM by xeroc »
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Offline speedy

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Re: GSS - Genesis Stake Statistics
« Reply #1 on: September 24, 2014, 11:52:51 PM »
So there are about 200 addresses with a million shares. Sounds about right.

Offline tonyk

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Re: GSS - Genesis Stake Statistics
« Reply #2 on: September 25, 2014, 01:11:07 AM »
Cool graphs.

Next task BTSX/Entity or person...  :)
Lack of arbitrage is the problem, isn't it. And this 'should' solves it.

Offline bitcoinerS

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Re: GSS - Genesis Stake Statistics
« Reply #3 on: September 25, 2014, 03:06:45 AM »
 +5%
>>> approve bitcoiners

Offline arhag

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Re: GSS - Genesis Stake Statistics
« Reply #4 on: September 25, 2014, 03:31:21 AM »
Cool. Now I'd like to see how the BTSX/address distribution changes over time since genesis. And then I would like to see the time evolution of BTSX/entity where entity is defined as the collection of addresses whose balances were combined and spent together in a single transaction sometime in the future (or just the single address by itself if it has not yet been spent). It would also be great to see a breakdown of the percentage of share supply voting for each unique delegate slate.

Offline arhag

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Re: GSS - Genesis Stake Statistics
« Reply #5 on: September 25, 2014, 04:10:59 AM »
Next task BTSX/Entity or person...  :)

It is both great (from a privacy perspective) and also a little sad (from a data analysis perspective) that we cannot figure out BTSX/person distributions.

Then again, we could set up a voting system with traceable ring signatures to allow anonymous polling of BTSX stake. The system could have 20 million votes. You provide proof of ownership of an unspent transaction balance (unspent up to some recent block number we all agree on). That proof of ownership gives you N = floor(balance/(100 BTSX)) votes. You are allowed to submit a ballot for each vote (using traceable ring signatures to vote anonymously but also prevent double voting) in which you sign the ballot with a private key. By using the same private key for all of the ballots allocated from each vote coming from all of a single individual's unspent balances, people can have a very good lower bound estimate on how much BTSX each person owns without identifying the actual owners even when they later spend their balances. Of course, people could simply sign each ballot with a unique private key to make it seem like there is less wealth concentration than there really is, so the accuracy of this method depends entirely on how honest people want to be (however individual dishonest actors cannot make it appear that there is higher wealth concentration than there really is unless they collude together). Unfortunately, besides being so much work to implement, a lot of people would probably just prefer not to take part in the polling, leading to very incomplete and unhelpful results. Maybe there could be some incentive structure where a reward, determined from a superlinear function of each person's final balance, was handed out to motivate people to report all of their combined wealth. The reward would also need to be designed in a way (likely through traceable ring signatures) to be claimed without linking the claimer back to the balances for the sake of privacy.

Offline bitder

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Re: GSS - Genesis Stake Statistics
« Reply #6 on: September 25, 2014, 03:26:55 PM »
So there are about 200 addresses with a million shares. Sounds about right.
That's way off.
1379 addresses  > 1 million BTSX
128 addresses > 10 million BTSX
8 addresses > 100 million BTSX
3 addresses > 200 million BTSX
top address > 293 million BTSx
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Offline xeroc

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Re: GSS - Genesis Stake Statistics
« Reply #7 on: September 25, 2014, 03:35:14 PM »
So there are about 200 addresses with a million shares. Sounds about right.
That's way off.
1379 addresses  > 1 million BTSX
128 addresses > 10 million BTSX
8 addresses > 100 million BTSX
3 addresses > 200 million BTSX
top address > 293 million BTSx
I should add some code to generate these numbers .. makes it easier to understand .. thanks for the hint!
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Offline xeroc

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Re: GSS - Genesis Stake Statistics
« Reply #8 on: September 25, 2014, 04:44:23 PM »
I forget a correction term .. the numbers in the genesisblock are off by factor 200:
python3 script from here: https://github.com/xeroc/pytshares/blob/master/genesisStats.py
« Last Edit: September 26, 2014, 01:58:37 PM by xeroc »
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Offline bytemaster

Re: GSS - Genesis Stake Statistics
« Reply #9 on: September 25, 2014, 04:45:58 PM »
I forget a correction term .. the numbers in the genesisblock are off by factor 200:
Code: [Select]
Correction term: 1/ 200.00
address with >          10 :   58,427
address with >          30 :   56,327
address with >          50 :   55,115
address with >          70 :   54,310
address with >          90 :   53,702
address with >         100 :   53,446
address with >         300 :   50,695
address with >         500 :   49,268
address with >         700 :   47,946
address with >         900 :   46,625
address with >       1,000 :   45,964
address with >       3,000 :   39,318
address with >       5,000 :   36,934
address with >       7,000 :   35,404
address with >       9,000 :   34,092
address with >      10,000 :   33,523
address with >      30,000 :   28,427
address with >      50,000 :   26,300
address with >      70,000 :   24,893
address with >      90,000 :   23,571
address with >     100,000 :   22,911
address with >     300,000 :   16,363
address with >     500,000 :   13,736
address with >     700,000 :   12,189
address with >     900,000 :   11,060
address with >   1,000,000 :   10,613
address with >   3,000,000 :    6,174
address with >   5,000,000 :    4,038
address with >   7,000,000 :    2,871
address with >   9,000,000 :    2,129
address with >  10,000,000 :    1,851
address with >  30,000,000 :       88
address with >  50,000,000 :        0
does this look about right?

Looks much better.      Perhaps update the graphs?
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Offline toast

Re: GSS - Genesis Stake Statistics
« Reply #10 on: September 25, 2014, 04:46:16 PM »
That doesn't seem right. 88 * 30,000,000 > 2bn.

Maybe you need to divide by precision?
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Offline bitder

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Re: GSS - Genesis Stake Statistics
« Reply #11 on: September 26, 2014, 01:27:07 AM »
xeroc, give this a try.

$ cat ./btsx_stake.py
Code: [Select]
#!/usr/bin/env python
import json
with open('genesis_btsx.json', 'rt') as f:
  b = [ i[1]/500000.0 for i in json.load(f)['balances']]
def gt(b, t):
  print "%10d addresses > %10d BTSX"%(len([i for i in b if i>t]),t)

print "total supply: %s, number of addresses: %s"%(sum(b), len(b))
for i in range(10):
  gt(b, 100000*2**i)


Code: [Select]
$ ./btsx_stake.py
total supply: 1999999999.94, number of addresses: 57973
      2365 addresses >     100000 BTSX
      1379 addresses >     200000 BTSX
       792 addresses >     400000 BTSX
       431 addresses >     800000 BTSX
       182 addresses >    1600000 BTSX
        60 addresses >    3200000 BTSX
        26 addresses >    6400000 BTSX
        15 addresses >   12800000 BTSX
         8 addresses >   25600000 BTSX
         2 addresses >   51200000 BTSX

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Offline oldman

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Re: GSS - Genesis Stake Statistics
« Reply #12 on: September 26, 2014, 02:15:32 AM »
xeroc, give this a try.

$ cat ./btsx_stake.py
Code: [Select]
#!/usr/bin/env python
import json
with open('genesis_btsx.json', 'rt') as f:
  b = [ i[1]/500000.0 for i in json.load(f)['balances']]
def gt(b, t):
  print "%10d addresses > %10d BTSX"%(len([i for i in b if i>t]),t)

print "total supply: %s, number of addresses: %s"%(sum(b), len(b))
for i in range(10):
  gt(b, 100000*2**i)


Code: [Select]
$ ./btsx_stake.py
total supply: 1999999999.94, number of addresses: 57973
      2365 addresses >     100000 BTSX
      1379 addresses >     200000 BTSX
       792 addresses >     400000 BTSX
       431 addresses >     800000 BTSX
       182 addresses >    1600000 BTSX
        60 addresses >    3200000 BTSX
        26 addresses >    6400000 BTSX
        15 addresses >   12800000 BTSX
         8 addresses >   25600000 BTSX
         2 addresses >   51200000 BTSX


This is much more in line with my intuition, for what it's worth.

Offline xeroc

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Re: GSS - Genesis Stake Statistics
« Reply #13 on: September 26, 2014, 06:04:50 AM »
Why devide by 5e5? what is the sum of all stakes then?
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Offline bitder

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Re: GSS - Genesis Stake Statistics
« Reply #14 on: September 26, 2014, 06:37:24 AM »
Why devide by 5e5? what is the sum of all stakes then?

The supply in the genesis_btsx.json is BIPS  (1billion with a precision of 10e6)  dividing by 5x10e5 adjusts the BIPS to 2 billion BTSX supply.

Code: [Select]
$ ./btsx_stake.py
================================================================================
total supply: 1999999999.94, number of addresses: 57973
================================================================================
      2365 addresses >     100000 BTSX
      1379 addresses >     200000 BTSX
       792 addresses >     400000 BTSX
       431 addresses >     800000 BTSX
       182 addresses >    1600000 BTSX
        60 addresses >    3200000 BTSX
        26 addresses >    6400000 BTSX
        15 addresses >   12800000 BTSX
         8 addresses >   25600000 BTSX
         2 addresses >   51200000 BTSX
     57973 addresses >          0 BTSX
       344 addresses >    1000000 BTSX
       128 addresses >    2000000 BTSX
        66 addresses >    3000000 BTSX
        43 addresses >    4000000 BTSX
        35 addresses >    5000000 BTSX
        27 addresses >    6000000 BTSX
        25 addresses >    7000000 BTSX
        21 addresses >    8000000 BTSX
        20 addresses >    9000000 BTSX
        17 addresses >   10000000 BTSX
        17 addresses >   11000000 BTSX
        15 addresses >   12000000 BTSX
        14 addresses >   13000000 BTSX
        14 addresses >   14000000 BTSX
        14 addresses >   15000000 BTSX
        11 addresses >   16000000 BTSX
         9 addresses >   17000000 BTSX
         8 addresses >   18000000 BTSX
         8 addresses >   19000000 BTSX
         8 addresses >   20000000 BTSX
Code: [Select]
top      1 addresses collectively own (  58783756) 2.94% of shares
top      2 addresses collectively own ( 116215883) 5.81% of shares
top      3 addresses collectively own ( 157771274) 7.89% of shares
top      4 addresses collectively own ( 190946909) 9.55% of shares
top      5 addresses collectively own ( 223154898) 11.16% of shares
top      6 addresses collectively own ( 255362887) 12.77% of shares
top      7 addresses collectively own ( 282127576) 14.11% of shares
top      8 addresses collectively own ( 307893968) 15.39% of shares
top      9 addresses collectively own ( 324971244) 16.25% of shares
top     10 addresses collectively own ( 341644607) 17.08% of shares
top     11 addresses collectively own ( 358311274) 17.92% of shares
top     12 addresses collectively own ( 374067717) 18.70% of shares
top     13 addresses collectively own ( 389663029) 19.48% of shares
top     14 addresses collectively own ( 404917610) 20.25% of shares
top     15 addresses collectively own ( 417725418) 20.89% of shares
top     16 addresses collectively own ( 429209511) 21.46% of shares
top     17 addresses collectively own ( 440587350) 22.03% of shares
top     18 addresses collectively own ( 450355417) 22.52% of shares
top     19 addresses collectively own ( 459722773) 22.99% of shares
top     20 addresses collectively own ( 468729134) 23.44% of shares
top     21 addresses collectively own ( 476972291) 23.85% of shares
top     22 addresses collectively own ( 484644642) 24.23% of shares
top     23 addresses collectively own ( 492006313) 24.60% of shares
top     24 addresses collectively own ( 499160491) 24.96% of shares
top     25 addresses collectively own ( 506245604) 25.31% of shares
top     26 addresses collectively own ( 512746709) 25.64% of shares
top     27 addresses collectively own ( 519130333) 25.96% of shares
top     28 addresses collectively own ( 524931889) 26.25% of shares
top     29 addresses collectively own ( 530649218) 26.53% of shares
top     30 addresses collectively own ( 536298967) 26.81% of shares
top     31 addresses collectively own ( 541828437) 27.09% of shares
top     32 addresses collectively own ( 547242762) 27.36% of shares
top     33 addresses collectively own ( 552606593) 27.63% of shares
top     34 addresses collectively own ( 557763399) 27.89% of shares
top     35 addresses collectively own ( 562915683) 28.15% of shares
top     36 addresses collectively own ( 567822092) 28.39% of shares
top     37 addresses collectively own ( 572700864) 28.64% of shares
top     38 addresses collectively own ( 577461725) 28.87% of shares
top     39 addresses collectively own ( 582104631) 29.11% of shares
top     40 addresses collectively own ( 586613750) 29.33% of shares
top     41 addresses collectively own ( 591030033) 29.55% of shares
top     42 addresses collectively own ( 595234377) 29.76% of shares
top     43 addresses collectively own ( 599361284) 29.97% of shares
top     44 addresses collectively own ( 603290659) 30.16% of shares
top     45 addresses collectively own ( 607217915) 30.36% of shares
top     46 addresses collectively own ( 611082793) 30.55% of shares
top     47 addresses collectively own ( 614867655) 30.74% of shares
top     48 addresses collectively own ( 618532892) 30.93% of shares
top     49 addresses collectively own ( 622197190) 31.11% of shares
top     50 addresses collectively own ( 625860395) 31.29% of shares
top     51 addresses collectively own ( 629403274) 31.47% of shares
top     52 addresses collectively own ( 632881737) 31.64% of shares
top     53 addresses collectively own ( 636360120) 31.82% of shares
top     54 addresses collectively own ( 639815798) 31.99% of shares
top     55 addresses collectively own ( 643182415) 32.16% of shares
top     56 addresses collectively own ( 646532040) 32.33% of shares
top     57 addresses collectively own ( 649850763) 32.49% of shares
top     58 addresses collectively own ( 653111821) 32.66% of shares
top     59 addresses collectively own ( 656334022) 32.82% of shares
top     60 addresses collectively own ( 659551600) 32.98% of shares
top     61 addresses collectively own ( 662749651) 33.14% of shares
top     62 addresses collectively own ( 665867502) 33.29% of shares
top     63 addresses collectively own ( 668906271) 33.45% of shares
top     64 addresses collectively own ( 671928432) 33.60% of shares
top     65 addresses collectively own ( 674940312) 33.75% of shares
top     66 addresses collectively own ( 677941692) 33.90% of shares
top     67 addresses collectively own ( 680921575) 34.05% of shares
top     68 addresses collectively own ( 683886009) 34.19% of shares
top     69 addresses collectively own ( 686783438) 34.34% of shares
top     70 addresses collectively own ( 689675063) 34.48% of shares
top     71 addresses collectively own ( 692553726) 34.63% of shares
top     72 addresses collectively own ( 695427368) 34.77% of shares
top     73 addresses collectively own ( 698284732) 34.91% of shares
top     74 addresses collectively own ( 701141573) 35.06% of shares
top     75 addresses collectively own ( 703995576) 35.20% of shares
top     76 addresses collectively own ( 706797377) 35.34% of shares
top     77 addresses collectively own ( 709566749) 35.48% of shares
top     78 addresses collectively own ( 712334623) 35.62% of shares
top     79 addresses collectively own ( 715077622) 35.75% of shares
top     80 addresses collectively own ( 717815997) 35.89% of shares
top     81 addresses collectively own ( 720527826) 36.03% of shares
top     82 addresses collectively own ( 723216838) 36.16% of shares
top     83 addresses collectively own ( 725902455) 36.30% of shares
top     84 addresses collectively own ( 728539203) 36.43% of shares
top     85 addresses collectively own ( 731174924) 36.56% of shares
top     86 addresses collectively own ( 733799647) 36.69% of shares
top     87 addresses collectively own ( 736407156) 36.82% of shares
top     88 addresses collectively own ( 738983279) 36.95% of shares
top     89 addresses collectively own ( 741545729) 37.08% of shares
top     90 addresses collectively own ( 744103394) 37.21% of shares
top     91 addresses collectively own ( 746628798) 37.33% of shares
top     92 addresses collectively own ( 749150497) 37.46% of shares
top     93 addresses collectively own ( 751662720) 37.58% of shares
top     94 addresses collectively own ( 754114643) 37.71% of shares
top     95 addresses collectively own ( 756530035) 37.83% of shares
top     96 addresses collectively own ( 758923852) 37.95% of shares
top     97 addresses collectively own ( 761310156) 38.07% of shares
top     98 addresses collectively own ( 763693852) 38.18% of shares
top     99 addresses collectively own ( 766053668) 38.30% of shares
top    100 addresses collectively own ( 768380351) 38.42% of shares
Code: [Select]
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top 150 addresses individual percentage
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  1   58783756 (2.94%)
  2   57432126 (2.87%)
  3   41555391 (2.08%)
  4   33175634 (1.66%)
  5   32207989 (1.61%)
  6   32207989 (1.61%)
  7   26764689 (1.34%)
  8   25766391 (1.29%)
  9   17077276 (0.85%)
 10   16673362 (0.83%)
 11   16666666 (0.83%)
 12   15756443 (0.79%)
 13   15595312 (0.78%)
 14   15254581 (0.76%)
 15   12807807 (0.64%)
 16   11484093 (0.57%)
 17   11377839 (0.57%)
 18    9768066 (0.49%)
 19    9367356 (0.47%)
 20    9006360 (0.45%)
 21    8243157 (0.41%)
 22    7672351 (0.38%)
 23    7361670 (0.37%)
 24    7154177 (0.36%)
 25    7085113 (0.35%)
 26    6501105 (0.33%)
 27    6383623 (0.32%)
 28    5801556 (0.29%)
 29    5717329 (0.29%)
 30    5649748 (0.28%)
 31    5529469 (0.28%)
 32    5414325 (0.27%)
 33    5363831 (0.27%)
 34    5156805 (0.26%)
 35    5152283 (0.26%)
 36    4906409 (0.25%)
 37    4878772 (0.24%)
 38    4760861 (0.24%)
 39    4642905 (0.23%)
 40    4509118 (0.23%)
 41    4416283 (0.22%)
 42    4204344 (0.21%)
 43    4126906 (0.21%)
 44    3929374 (0.20%)
 45    3927256 (0.20%)
 46    3864878 (0.19%)
 47    3784861 (0.19%)
 48    3665237 (0.18%)
 49    3664298 (0.18%)
 50    3663205 (0.18%)
 51    3542878 (0.18%)
 52    3478462 (0.17%)
 53    3478383 (0.17%)
 54    3455678 (0.17%)
 55    3366616 (0.17%)
 56    3349624 (0.17%)
 57    3318722 (0.17%)
 58    3261058 (0.16%)
 59    3222200 (0.16%)
 60    3217578 (0.16%)
 61    3198050 (0.16%)
 62    3117851 (0.16%)
 63    3038769 (0.15%)
 64    3022160 (0.15%)
 65    3011880 (0.15%)
 66    3001380 (0.15%)
 67    2979883 (0.15%)
 68    2964433 (0.15%)
 69    2897428 (0.14%)
 70    2891625 (0.14%)
 71    2878662 (0.14%)
 72    2873641 (0.14%)
 73    2857364 (0.14%)
 74    2856840 (0.14%)
 75    2854003 (0.14%)
 76    2801800 (0.14%)
 77    2769371 (0.14%)
 78    2767873 (0.14%)
 79    2742998 (0.14%)
 80    2738375 (0.14%)
 81    2711829 (0.14%)
 82    2689011 (0.13%)
 83    2685617 (0.13%)
 84    2636748 (0.13%)
 85    2635720 (0.13%)
 86    2624722 (0.13%)
 87    2607508 (0.13%)
 88    2576123 (0.13%)
 89    2562449 (0.13%)
 90    2557664 (0.13%)
 91    2525404 (0.13%)
 92    2521698 (0.13%)
 93    2512223 (0.13%)
 94    2451922 (0.12%)
 95    2415392 (0.12%)
 96    2393816 (0.12%)
 97    2386304 (0.12%)
 98    2383695 (0.12%)
 99    2359816 (0.12%)
100    2326682 (0.12%)
101    2296374 (0.11%)
102    2290479 (0.11%)
103    2283298 (0.11%)
104    2273360 (0.11%)
105    2247281 (0.11%)
106    2246884 (0.11%)
107    2220930 (0.11%)
108    2218040 (0.11%)
109    2214284 (0.11%)
110    2171617 (0.11%)
111    2159797 (0.11%)
112    2156815 (0.11%)
113    2154175 (0.11%)
114    2133075 (0.11%)
115    2127135 (0.11%)
116    2121827 (0.11%)
117    2102519 (0.11%)
118    2097921 (0.10%)
119    2094096 (0.10%)
120    2087144 (0.10%)
121    2061556 (0.10%)
122    2055383 (0.10%)
123    2053970 (0.10%)
124    2047357 (0.10%)
125    2036753 (0.10%)
126    2027721 (0.10%)
127    2024862 (0.10%)
128    2006044 (0.10%)
129    1994740 (0.10%)
130    1986672 (0.10%)
131    1980159 (0.10%)
132    1964291 (0.10%)
133    1956322 (0.10%)
134    1936345 (0.10%)
135    1932751 (0.10%)
136    1932485 (0.10%)
137    1930349 (0.10%)
138    1922749 (0.10%)
139    1916867 (0.10%)
140    1915761 (0.10%)
141    1909669 (0.10%)
142    1900547 (0.10%)
143    1892317 (0.09%)
144    1890150 (0.09%)
145    1881665 (0.09%)
146    1866750 (0.09%)
147    1861346 (0.09%)
148    1843122 (0.09%)
149    1838428 (0.09%)
150    1834548 (0.09%)

wallet_account_set_approval delegate.bitder 1

 

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