What's technically required for implementing MEV auctions?

Bron: LBankTijd: 2025-03-19 01:48:30

Understanding the Technical Requirements for Implementing MEV Auctions

Maximal Extractable Value (MEV) auctions have emerged as a significant mechanism within blockchain ecosystems, allowing participants to capture value from transaction ordering. However, implementing these auctions requires a robust technical framework that ensures efficiency, security, and transparency. This article delves into the essential components necessary for successfully executing MEV auctions on blockchain networks.

1. Blockchain Integration

The foundation of any MEV auction is its integration with a blockchain platform. This integration guarantees transparency and immutability of transactions, which are crucial for maintaining trust among participants. A well-chosen blockchain should support smart contracts and provide sufficient throughput to handle the expected volume of auction transactions.

2. Smart Contracts

Smart contracts play a pivotal role in automating the auction process. They define the rules governing bids, manage participant interactions, and execute transactions once conditions are met. By utilizing smart contracts:

  • Automation: The entire bidding process can be automated without requiring manual intervention.
  • Transparency: All actions taken by participants are recorded on-chain, ensuring accountability.
  • Simplicity: Participants can easily understand how their bids will be processed based on predefined rules.

3. Oracle Services

A critical aspect of running an effective MEV auction is access to real-time data feeds provided by oracle services. Oracles bridge the gap between off-chain data sources and on-chain smart contracts by supplying accurate information such as price feeds or external events that may influence bidding strategies.

  • Timeliness: Real-time updates ensure that all participants have access to current market conditions when placing bids.
  • Error Reduction: Reliable oracles minimize discrepancies between off-chain data and what is represented on-chain.

4. Gas Management

The cost associated with executing transactions on a blockchain—known as gas fees—can significantly impact participation in an auction if not managed properly. Efficient gas management strategies must be implemented to prevent high transaction costs from deterring bidders while ensuring smooth execution throughout the auction lifecycle.

  • Bidding Strategies: Participants should be able to optimize their bids based on current gas prices to maximize their chances of winning without overspending.
  • Capping Fees: Setting limits on gas fees can help maintain affordability during peak network congestion periods.

5. Security Measures

The integrity of an MEV auction hinges upon robust security measures designed to protect sensitive data and prevent manipulation attempts by malicious actors. Key security practices include:

  • Email Encryption: Encrypting communications helps safeguard user information against unauthorized access during bidding processes.
  • MPC (Secure Multi-Party Computation):This technique allows multiple parties to jointly compute functions over their inputs while keeping those inputs private from each other, enhancing overall security against collusion or fraud attempts during auctions.

6 . Scalability Solutions < p > As demand grows , it ’ s essential that your system can handle high volumes of transactions efficiently . Scalability solutions might involve using off - chain mechanisms , like state channels , or layer 2 technologies such as rollups . These approaches help alleviate congestion issues often seen in traditional blockchains while maintaining low latency for users participating in real - time auctions . < ul > < li >< strong > Off - Chain Solutions : Utilizing sidechains or state channels allows for faster processing times without burdening mainnet resources . < li >< strong > Layer 2 Technologies : Rollups aggregate multiple transactions into one batch before submitting them onto mainnet , reducing costs per transaction significantly compared with direct submissions . < / ul > < h 4 > 7 . User Interface / h 4 > < p > A seamless user experience is vital when implementing MEV auctions ; thus , creating an intuitive interface enables participants — both seasoned traders & novices alike —to navigate through placing bids effortlessly & monitoring ongoing activities throughout each stage effectively . Key features include :
  • < strong>User Dashboard: Allows users quick access bid history along with current standings within active rounds .
  • < strong>Bidding Tools: Provide insights regarding optimal timing/strategies based upon historical trends observed across previous rounds .
  • < strong>Status Notifications: Keep bidders informed about changes occurring within live events so they remain engaged at all times . Overall , these technical components collectively enable efficient & secure implementation processes surrounding maximal extractable value (MEV) auctions across various blockchains today !

Technical Study
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0.07%
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6.84%
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6.84%
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4.62%
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0.86%
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2.42%
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15.42%
67.1013
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5.58%
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14.66%
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0.72%
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4.83%
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0.23%
0.00811
12.02%
4.149
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2.22%
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0.000575
0.52%
0.002711
9.54%
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0.00047
0.00%
0.2132
4.25%
0.00000001402
10.31%
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2.13%
268.7
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0.08000
28.00%
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7.28%
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0.66%
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6.264
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1.23%
0.4627
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0.35%
1.067
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0.0000020008
10.07%
0.01462
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19.37
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0.006315
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0.01803
11.02%
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6.24%
3.155
0.77%
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6.83%
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1.50%
0.000000052626
4.99%
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6.75%
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1.385
15.90%
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8.05%
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1.99%
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0.32%
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0.000203
4.64%
1.580
3.88%
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2.31%
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16.45%
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5.78%
0.00058213
4.89%
3.8850
0.13%
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7.50%
338.9
2.54%
0.005514
2.93%
0.0000001209
-16.04%
0.000660
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0.01537
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0.01928
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0.02500
78.57%
0.0240
-1.64%
0.000508
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0.00002510
-5.89%
0.007554
-15.27%
0.00240
0.00%
0.00039
11.43%
0.0000607
0.00%
0.005537
0.36%
0.00150
-5.06%
3.697
1.48%
90.7536
0.00%
20.80
48.68%
0.920
0.66%
0.12789
1.01%
0.00000340
-2.02%
0.01723
7.55%
0.0098
1.03%
0.2122
7.61%
0.1197
1.87%
0.2468
-0.08%
8.45
-1.63%
0.00766
1.32%
0.4229
15.29%
0.1194
7.37%
0.01117
-0.80%
0.00506
0.60%
0.1001
0.00%
10.04
-0.40%
0.0123833
0.04%
0.6402
6.33%
0.03686
-5.54%
0.00456
2.47%
0.04034
-2.30%
0.000283
10.55%
0.2829
2.02%
0.00140
0.00%
0.000706
-24.49%
0.009390
4.33%
0.004980
52.53%
0.1101
-4.26%
0.0002481
-17.41%
0.00455
2.71%
0.0000000383
-1.29%
0.000165
1.23%
0.0005603
-18.11%
0.001588
56.30%
9.21
-0.11%
0.006900
15.81%
0.001607
3.81%
0.006121
0.33%
0.4532
0.29%
0.01854
3.17%
16.17
-2.59%
18.47
1.82%
0.02865
-0.17%
0.00065
-2.99%
0.0007147
8.42%
0.00522
3.57%
0.4087
27.80%
0.000852
1.07%
0.3172
58.60%
0.01430
0.14%
0.0000000533
2.90%
0.00297
-2.62%
0.00028538
0.31%
0.0003309
-13.26%
0.03694
0.98%
0.004259
45.01%
0.0008073
4.15%
4.868
-1.48%
2.929
2.48%
0.000283
-20.28%
0.7064
0.27%
19.9635
-0.43%
0.000119
0.00%
0.002299
0.83%
0.02025
17.32%
0.0481
7.13%
0.03827
5.92%
0.0000539
-19.43%
0.999
1.73%
0.008058
-1.72%
0.5362
0.75%
0.001849
0.00%
0.004491
0.38%
0.004923
-1.62%
0.000000001497
0.00%
0.1533
-5.78%
0.00016875
-1.72%
0.003650
-5.49%
0.1888
10.86%
22.10
-5.64%
0.3111
4.01%
1.1939666
2.60%
0.1051
3.55%
0.003059
1.06%
0.04376
0.23%
0.005004
1.21%
1.7629
0.07%
0.001963
1.97%
7.9455
3.29%
0.0019
-5.00%
0.1281
-0.93%
0.0003060
49.93%
0.0632
1.44%
0.00748
12.48%
0.00000466
-6.99%
0.0942
2.28%
0.0705
-0.28%
0.000374
-1.06%
0.00367011
9.18%
5.51
0.92%
0.2362
11.52%
0.03907
1.67%
0.067214
0.67%
0.0484
0.41%
0.0889
-0.11%
0.06748
-2.89%
0.000387
-0.26%
0.3389
-7.28%
0.3762
3.95%
0.01971
-5.78%
0.00099
5.32%
0.001662
14.31%
0.11141
-0.07%
0.04610
-10.59%
0.000958
-17.13%
0.00000000009461
1.86%
0.01469
0.27%
0.06134
-6.83%
0.03651
6.29%
0.002138
2.15%
0.000229
-6.91%
0.3116
-0.29%
0.005673
-3.34%
0.1220
4.45%
0.708
2.02%
0.000003220
12.98%
0.08557
-3.70%
0.001508
-10.24%
0.0002139
1.52%
0.3014
-0.56%
0.01270
62.20%
0.0000086
-1.15%
0.002250
11.88%
0.284
-1.05%
3075.03
1.12%
0.0025
0.00%
0.00240
-10.78%
0.04195
3.45%
0.000098
0.00%
7.45
1.22%
0.02015
-2.52%
0.002260
104.16%
0.06074
0.16%
0.0088
-19.27%
1.1885
3.71%
0.0000223
-0.89%
0.2022
7.10%
0.000000562
-0.53%
0.001108
2.50%
0.0000050
19.05%
0.27226
-1.16%
0.01317
3.70%
0.005638
-1.78%
0.00498
0.81%
0.007275
5.45%
0.000551
-5.65%
10.86
4.73%
0.01197
-21.61%
0.001089
-13.98%
0.000828
5.88%
0.5725
0.72%
0.05154
11.22%
0.07737
-5.63%
0.2958
11.24%
0.0002911
2.39%
0.1038
2.37%
0.00006594
1.18%
0.5301
5.12%
0.000098
-14.78%
0.2629
1.23%
0.015196
9.59%
0.65184
10.40%
0.000400
-55.56%
0.00000003899
-4.83%
0.1925
-0.82%
6.25
1.13%
0.00925
-0.64%
0.003741
6.10%
0.07287
0.89%
8.674
14.12%
0.0066
-1.49%
0.001018
3.14%
3028
0.33%
0.002187
6.48%
0.00000008493
7.07%
0.01191
0.25%
0.00282
-37.19%
0.1457
4.74%
0.00004140
-0.74%
0.002644
0.76%
0.0009745
17.28%
0.01081
-2.70%
0.0883
1.96%
0.001231
-6.74%
1.6025
7.89%
0.002643
-11.61%
0.0241
-3.60%
0.3102
0.00%
0.009936
-5.80%
0.1126
2.27%
0.00712
1.57%
0.01320
14.78%
0.0042
0.00%
170.95
2.15%
14.04
-4.42%
0.1507
-1.50%
0.00994
3.54%
0.004490
1.01%
0.00002605
9.13%
1.039
0.48%
1.3568
2.12%
0.0811
-0.37%
0.0006687
-1.94%
7.197
1.47%
0.693
2.97%
0.0008274
3.31%
0.003231
-19.10%
0.00001373
0.37%
0.00008400
4.70%
0.1763
6.27%
0.05203
7.17%
0.003266
8.25%
0.00002737
19.47%
0.002969
-7.88%
0.5662
0.77%
0.367
0.00%
0.00000001576
-9.22%
0.3604
2.01%
1.547
1.78%
0.9233
0.96%
0.688
7.00%
0.1922
0.68%
0.0098
-2.00%
0.0280
-5.72%
0.0725
-0.28%
0.02656
-2.39%
91.00
2.62%
2.213
0.14%
0.0000003103
-2.67%
0.000000575
16.40%
0.018352
0.48%
0.00911
7.68%
1.0635
-3.94%
7.99
-1.60%
3.570
2.50%
0.02845
33.38%
0.06272
1.26%
0.04093
4.31%
0.020970
12.22%
0.001691
-5.79%
0.0110
0.92%
0.004031
2.81%
2.373
-2.75%
0.7643
-9.85%
0.2837
1.29%
0.000834
2.84%
0.012521
0.03%
0.01795
-2.23%
25.1111
23.16%
0.00000001324
1.38%
0.0000488
-4.31%
0.01535
20.39%
0.6743
9.66%
0.00886
-1.56%
0.004247
0.59%
0.002829
1.29%
0.002579
-11.37%
0.0000000002090
-0.52%
0.566
1.80%
0.0006934
2.82%
0.00003937
-0.08%
0.2148
1.23%
0.0105
-3.67%
0.0030
0.00%
0.00280
12.00%
0.004215
9.99%
1.6479
10.09%
18.70
0.97%
0.0364
1.39%
0.01164
1.31%
6.7787
-0.59%
0.00000065495
300.12%
0.0007925
-11.94%
0.013184
-5.90%
0.0003920
-14.76%
0.089821
-36.41%
0.000000000252
-1.18%
0.0000000818
-1.45%
0.03188
-0.87%
0.4886
1.05%
0.0668
1.06%
0.004324
0.82%
0.1585
-2.04%
0.003495
0.40%
0.01884
0.69%
0.0193
1.58%
0.003978
-1.09%
0.0000724
5.54%
0.634
-0.16%
0.003122
-8.85%
0.000002280
15.74%
2198.42
-2.27%
0.2138
1.23%
0.3977
-1.41%
0.001623
-2.70%
0.1176
1.38%
2.404
7.27%
0.1117
0.81%
0.2682
-3.39%
0.1497
0.67%
0.2593
1.85%
0.0595
1.88%
0.007178
-2.10%
0.7797
3.93%
0.001658
1.72%
2.274
1.29%
0.0002913
4.00%
0.000001684
1.20%
0.7625
-0.09%
0.908
1.11%
0.783
0.77%
0.3957
2.81%
0.2242
-2.01%
0.03254
0.28%
0.429
0.70%
0.0005386
-2.55%
0.0783
0.26%
0.1949
-3.23%
0.00000403
-0.74%
0.0000090
-1.10%
0.00010600
-2.23%
0.003463
1.08%
2.251
1.67%
0.00005811
-1.51%
0.001959
2.14%
0.0389
0.00%
0.01965
9.65%
0.05551
-9.61%
0.1006
1.41%
24.086
1.42%
0.013000
4.56%
0.001835
-2.03%
0.2177
1.16%
0.0104
1.96%
0.0051022
-0.09%
0.1644
2.37%
0.00009227
-1.46%
0.2303
1.05%
0.02828
-4.81%
0.002800
-4.92%
0.0219000
-81.73%
12.51
-0.40%
0.000211307
-4.68%
0.0006543
2.36%
0.0472
-0.21%
0.000090
9.76%
0.003872
-4.75%
0.00262
2.75%
0.492
-1.40%
0.7400
1.96%
0.05905
2.55%
0.745
0.54%
0.003555
1.86%
0.01308
0.69%
0.0103
0.98%
2.241
3.89%
1.062
6.84%
0.01616
-7.34%
0.836
0.84%
0.2255
-0.35%
0.01823
0.50%
0.0000269
-1.82%
0.005971
9.48%
0.005002
4.69%
0.000700
-2.10%
0.03257
3.50%
0.0499
0.00%
0.0004629
-10.06%
0.001189
2.85%
0.01849
9.54%
1301
2.28%
1.987
4.97%
0.02070
11.89%
0.1502
2.39%
0.1001
-2.25%
0.004757
23.11%
0.000249
59.62%
0.003528
-16.89%
0.00776
-14.82%
0.0000000000000180
-1.64%
0.0548
1.86%
0.00000814
0.00%
0.001395
3.79%
0.3226
2.12%
0.0073
-3.95%
0.00000000000012
-57.14%
0.00022485
-0.14%
0.0571
-12.69%
0.02673
-2.87%
0.0698
4.18%
0.0580
3.39%
0.03178
24.73%
0.2166
0.14%
0.001797
-3.39%
0.001612
-10.14%
0.1052
0.38%
0.818
1.61%
79.8
0.50%
0.1951
0.46%
0.00004934
2.51%
0.0122
22.00%
0.000001740
2.96%
0.00000000001215
-3.72%
0.1192
-6.22%
0.0116
-6.45%
17.91
1.94%
0.000329
-22.95%
0.00000000001565
21.13%
0.0964
0.31%
0.00121
-7.63%
0.04426
-1.99%
0.0360
1.41%
0.732
1.81%
0.0382
50.39%
0.005407
0.46%
0.8459
1.02%
0.00000000021945
39.85%
17.535
0.45%
0.0817
0.62%
0.1306
0.54%
0.01296
1.33%
0.005287
-2.67%
0.1569
-1.32%
1.918
0.05%
0.20294
2.85%
0.0780
5.12%
0.0961
2.02%
0.0000000623
0.48%
0.0314
-1.88%
0.03576
-3.35%
0.00000724
2.12%
0.01250
-7.48%
0.01650
0.49%
0.0000120
6.19%
0.2678
0.60%
0.01351
2.43%
0.0000000042630
42.05%
0.000843
96.05%
0.000001608
3.94%
0.6606
3.57%
0.00650
0.00%
0.001352
3.13%
0.00545
1.11%
0.002013
0.25%
0.1107
1.84%
0.00129
-7.19%
0.0000002159
0.37%
0.000024
0.00%
0.02572
2.63%
0.5307
0.26%
1.257
4.58%
0.00003
50.00%
0.00306
-2.86%
0.0004170
6.19%
0.1369
-0.22%
0.1198
-1.24%
0.000000000001782
3.07%
2.659
0.08%
0.0001884
55.57%
0.001070
-6.14%
0.0000000159
0.63%
1.4488
4.04%
0.0135
-20.59%
0.1506
4.73%
19.68
1.39%
0.00627
0.16%
0.0816
-1.21%
0.0881
0.57%
0.006045
6.13%
0.0000235
52.60%
0.4249
7.30%
0.2853
0.14%
0.0346
0.87%
0.00420
-0.24%
0.684
-1.16%
0.000000001911
-0.10%
0.0000488
-3.17%
18.31
0.77%
0.0920
-0.76%
0.001023
0.10%
0.013598
-1.46%
0.03004
0.30%
0.0000019
0.00%
0.000794
-5.92%
0.230000
91.67%
15.62
-0.45%
0.000000000732
1.67%
0.2239
0.22%
0.6078
2.98%
0.2900
11.84%
0.0948
-1.25%
6.526
0.90%
0.05961
2.28%
0.022345
-9.00%
0.0004001
2.64%
0.008233
0.06%
1.420
1.28%
0.0001
0.00%
0.0045
-10.00%
0.05812
-0.09%
0.000000000003823
-12.42%
0.00000000000012
0.00%
0.0400
1.52%
0.0002462
-1.36%
0.0806
20.30%
0.020595
-3.29%
2.240
0.86%
0.002421
11.72%
0.00011
266.67%
0.0382
-0.52%
0.0057
-37.36%
0.000384
-0.52%
3.55
1.43%
0.2135
3.69%
0.000025
0.00%
0.0024103
1.58%
0.0015
-16.67%
1.712
-0.64%
0.00009784
-40.70%
0.02965
0.07%
0.000080
35.59%
0.01708
1.01%
0.0000252
-17.11%
0.000000000000967
5.11%
0.0088
7.32%
0.00008997
0.02%
0.000200
3.09%
0.00125
-1.57%
0.0523
6.95%
0.9990
99.88%
0.00465
1.75%
0.00805
-6.94%
0.000000008400
0.00%
0.0000061
0.00%
0.750
36.36%
0.0002402
-13.50%
0.00003069
1.89%
0.0003
-80.00%
0.000270
-69.66%
250.00
-50.00%
0.0004461
12.37%
0.00713
1.86%
0.0006
20.00%
1.0100
2.02%
0.00040
-4.76%
0.00729
-5.32%
0.000000000006
50.00%
0.00015
0.00%
7.0560
4.61%
0.000061
10.91%
0.000110
2.80%
0.00000000000038
2.70%
3.047
0.69%
9.770
0.00%
0.3793
0.32%
0.1343
0.07%
0.00926
7.67%
0.000000000791
5.47%
0.1554
2.85%
0.0971
-0.41%
0.0000099
76.79%
0.000016
-11.11%
0.0000013
160.00%
0.00000000000651
-0.15%
0.00000926
-15.74%
31.05
-1.05%
0.02800
-0.50%
0.0488
-3.17%
0.002579
-0.15%
0.918
-0.11%
0.00000000000115
-5.74%
0.0000067
-26.37%
1.2684
0.26%
0.001137
-7.49%
0.00000000110
44.74%
0.00041
28.13%
0.00011
10.00%
0.00000000000212
20.45%
0.00025
-3.85%
0.0000000000000156
-0.64%
0.00000000003555
0.85%
0.483
3.21%
0.474
6.76%
0.000000002002
0.60%
0.00220
-8.33%
0.0849
5.73%
0.5319
-0.69%
0.000001600
228.54%
0.1964
0.98%
0.1316
-0.75%
0.03455
-1.12%
0.00000326
-20.29%
3.58
-5.54%
0.0009
0.00%
0.000025
78.57%
0.004109
3.27%
0.004051
7.88%
0.002113
10.98%
0.00263
-4.01%
0.0000000185
-7.04%
0.0005
-44.44%
0.00000326
3.16%
1.107
0.73%
0.01316
0.77%
0.0000675
-0.74%
0.000062
40.91%
0.000055
-23.61%
0.0000310
-0.64%
0.000894
0.79%
0.000030
7.14%
0.01708
1.61%
0.001790
-35.05%
0.0000080
-18.37%
0.000000000069
-30.30%
0.01699
0.47%
0.00000000056
3.70%
0.0700
39.44%
0.001801
0.06%
0.0027
0.00%
0.004234
-1.01%
0.0005149
-3.65%
0.00026
4.00%
0.0005
25.00%
0.000000000609
-10.70%
0.00000000000289
1.05%
0.7000
0.00%
0.00002306
1.86%
0.0000700
-17.26%
0.2988
0.23%
0.0444
0.68%
0.00083
3.75%
0.000000000533
-0.37%
0.0810
1.38%
0.1438
-1.91%
0.000000000019
72.73%
0.000423
-0.94%
0.3781
-1.43%
0.001357
6.02%
0.1132
2.54%
0.000446
0.22%
0.0792
1.02%
3.1189
-1.11%
0.008000
0.00%
0.00000007783
0.00%
0.000561
1.08%
0.3900
3.97%
0.000000000772
-3.62%
0.000085
-4.49%
0.04026
2.31%
50.0000
0.00%
0.000000109
2.83%
0.000450
-1.10%
0.0005
25.00%
0.0012
9.09%
0.022500
0.45%
0.00000051
-7.27%
0.0000645
0.00%
0.00000000000098
-2.97%
0.000000000375
0.27%
0.0000329
0.00%
0.00000000002900
73.03%
0.000000000107
0.00%
0.00000000000383
-4.25%
0.00000000003010
64.21%
0.00000086
-1.15%
0.000000002457
1.45%
0.000000039
-9.30%
0.00030000
-14.29%
0.0000006623
0.33%
0.0005202
-2.78%
0.0000397
11.83%
0.0064
3.23%
0.000033
-13.16%
3.035
-0.59%
0.00232
0.43%
0.000024
0.00%
0.0102
18.60%
0.0000017
-43.33%
0.00056
7.69%
0.001040
-0.48%
0.00119
21.43%
0.0562
28.60%
0.00000007
-41.67%
0.000307
27.39%
0.0013
116.67%
0.000400
14.29%
0.00023
9.52%
0.0609
-8.28%
0.00000044
-4.35%
0.00004399
30.57%
0.0003220
0.00%
0.0570
7.34%
0.000825
-1.90%
0.01596
0.13%
0.4928
3.77%
0.10552
-0.07%
0.0578
-1.20%
0.00746
-10.66%
0.01268
11.33%
0.001122
0.27%
0.2440
3.52%
58.5600
0.00%
0.0001517
4.19%
0.0004935
1.94%
0.002895
9.12%
0.00371
0.00%
0.0009012
0.00%
0.13631
0.63%
0.006501
1.63%
0.003571
3.48%
0.0004189
-3.37%
0.00600
0.00%
0.0007993
0.00%
6.294
2.84%
0.05331
0.09%
0.033613
1.01%
0.02057
4.31%
0.02384
-1.57%
0.002968
0.68%
0.7971
1.45%
1899.00
0.00%
0.4528
-5.67%
1.27
-17.53%
0.1519
-6.98%
0.0464
4.27%
0.03100
1.17%
0.00419
7.71%
0.01184
-0.67%
0.2137
4.45%
2.5129
0.00%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
50.962
1.86%
0.0582
0.52%
0.000000100
0.00%
0.0001030
0.00%
0.00103
0.00%
0.6426
0.36%
0.0700
0.00%
0.001167
0.69%
0.1567
4.89%
0.01913
0.42%
0.000216
0.00%
0.548
1.67%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.000079
0.00%
0.4424
0.00%
0.000392
-2.73%
0.06044
-1.05%
0.9745
0.00%
0.0071
0.00%
0.000210
0.00%
0.1162
0.61%
0.01468
-0.68%
0.0268
-0.37%
0.1783
-1.05%
8.27
1.60%
0.004365
1.28%
0.3395
0.03%
0.000452
0.00%
0.0127
0.00%
0.0272
0.00%
0.000190361
-1.95%
0.1204
0.00%
0.006000
0.00%
0.000300
0.00%
0.00013
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.000014
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0064
0.00%
0.0000002593
0.00%
0.000009
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.001405
0.00%
0.2470
0.53%
0.000459
-3.97%
0.000902
0.00%
0.0236
-2.48%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.004025
0.00%
0.0119
19.00%
0.00000100
0.00%
0.0000000104
0.00%
0.000685
0.00%
0.00000006
0.00%
0.001000
0.00%
0.0000000053
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.0065
0.00%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.00023846
0.00%
0.000758
0.00%
0.001000
0.00%
0.000058
0.00%
1.6799
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.00004
0.00%
0.000118
0.00%
0.0010
0.00%
0.0000242
-2.42%
0.00037
0.00%
0.001963
0.00%
0.00000055
0.00%
0.2994
0.00%
0.00006767
0.00%
0.00005458
0.00%
0.001263
0.00%
0.001210
0.00%
0.00171
0.00%
0.0072
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.000086
0.00%
0.00007
0.00%
0.000033
0.00%
0.001234
0.00%
0.000449
0.00%
0.0066
0.00%
0.0012
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.020562
0.00%
0.0000111
0.00%
0.007000
0.00%
0.000363
0.00%
0.0012
0.00%
0.000792
0.00%
0.001200
0.00%
0.000331
0.00%
0.001050
0.00%
0.000383
0.00%
4.0009
0.00%
0.01595
0.00%
0.001000
0.00%
0.0786
0.00%
0.001563
0.00%
1.6349
0.00%
0.00000000000540
0.00%
0.000028
0.00%
0.000999
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
1.430
1.56%
3.7189
0.00%
0.003015
0.00%
0.000082
0.00%
0.0071
0.00%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.0350
0.00%
0.0131
0.00%
4.4022
0.00%
0.0745
0.00%
0.002461
0.00%
0.001160
0.00%
0.001100
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.0150
0.00%
0.002393
0.00%
0.0036
0.00%
0.001957
0.77%
0.1769
0.00%
2.2915
0.00%
0.000257
0.00%
0.000620
0.00%
0.03000
0.00%
0.000946
0.00%
0.4820
0.00%
0.0490
0.00%
0.0096
0.00%
0.0060
0.00%
0.04500
0.00%
0.000259
0.00%
12.1000
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.00007
0.00%
0.01989
0.00%
0.0026
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.0650
0.00%
0.3515
0.00%
0.00125
0.00%
0.4900
0.00%
0.5000
0.00%
0.010100
0.00%
0.0069
0.00%
0.88686
0.00%
0.00084
0.00%
0.0000285
0.00%
0.05578
0.00%
1.1760
0.00%
0.00689
0.00%
0.1725
0.00%
0.00010
0.00%
0.03778
0.00%
0.01463
0.00%
0.00614
0.00%
0.04851
0.00%
0.4606
0.00%
0.001800
0.00%
0.00006
0.00%
0.0000007
0.00%
0.01200
0.00%
0.00010
0.00%
0.000001000
0.00%
0.0182
0.00%
101.67
0.00%
0.0000008
0.00%
1.3136
0.14%
0.01050
0.00%
0.00390
0.00%
0.0000325
0.00%
1.0000
0.00%
0.34211
0.00%
0.00132
0.00%
0.0000077
0.00%
0.0005
0.00%
0.1495
0.00%
0.00146
0.00%
0.00036
0.00%
0.001277
0.00%
0.03520
0.00%
3.3999
0.00%
0.0000023
0.00%
0.000000005
0.00%
0.000514
0.00%
0.001987
0.00%
0.000313
0.00%
0.0000029
0.00%
0.0007000
0.00%
0.00200
0.00%
0.0032
0.00%
0.3131
0.00%
0.000495
0.00%
0.00049
0.00%
0.300
0.00%
0.00017800
0.00%
0.007210
0.00%
0.00635
0.00%
0.0900
0.00%
0.00006
0.00%
0.000000000009
0.00%
0.000506
0.00%
0.01030
0.00%
0.00070
0.00%
0.003000
0.00%
0.000310
0.00%
0.0000269
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.000996
0.00%
0.7997
0.00%
0.0001543
0.00%
0.000000000128
0.00%
0.000426832
0.00%
0.00002805
0.00%
0.1600
0.00%
0.0000245
0.00%
0.000056
0.00%
0.1197
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.3101
0.00%
0.0000305
0.00%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.000198
2.06%
0.0000003963
0.00%
0.250
0.00%
0.4304
0.84%
0.3923
0.85%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0614
1.82%
0.00500
0.00%
0.0020
0.00%
0.00538
0.00%
0.4532
2.56%
0.000000001869
0.00%
5155.00
0.00%
1.543
0.39%
0.0091
0.00%