🕵️ Blockchain Privacy & Identity (zk-DID)

Bron: LBankTijd: 2025-03-19 01:47:24

Blockchain Privacy & Identity (zk-DID)

The advent of blockchain technology has revolutionized various sectors by providing decentralized solutions that enhance transparency and security. Among these innovations, blockchain-based identity management systems are gaining traction, particularly those that leverage Zero-Knowledge (zk) proofs. This article delves into the concept of **Zero-Knowledge Decentralized Identifiers (zk-DID)**, exploring its mechanisms, benefits, applications, challenges, and future directions.

Understanding zk-DID

At its core, zk-DID integrates zk-SNARKs (Zero-Knowledge Succinct Non-Interactive Arguments of Knowledge) into decentralized identifier systems. This integration allows users to maintain control over their identities while ensuring privacy and security in digital interactions.

Key Features of zk-DID

1. Privacy Enhancement

One of the most significant advantages of zk-DID is its ability to protect user identities from third-party exposure. By utilizing zero-knowledge proofs, users can engage in transactions or interactions without disclosing sensitive personal information.

2. Decentralized Architecture

The decentralized nature of zk-DIDs reduces reliance on centralized authorities for identity verification and management. This architecture not only enhances data sovereignty but also mitigates risks associated with single points of failure commonly found in traditional identity systems.

3. Zero-Knowledge Proofs

The hallmark feature of zk-DIDs is the use of zero-knowledge proofs like zk-SNARKs which allow individuals to prove certain facts about their identities without revealing the actual data behind those facts. For instance, a user could prove they are over a certain age without disclosing their exact birthdate.

4. Scalability

This innovative approach leverages advanced cryptographic techniques that enable efficient processing and scalability—making it suitable for large-scale applications across various industries.

5. Security

The robust security framework provided by zk-SNARKs ensures strong protection against identity theft and unauthorized access to personal data—critical factors as cyber threats continue to evolve.

Applications of zk-DID

The versatility and robustness offered by zk-DIDs make them applicable across numerous sectors:

1. Identity Verification

Zk-DIDs can significantly enhance processes requiring secure identity verification such as financial services where KYC (Know Your Customer) regulations apply; healthcare where patient confidentiality is paramount; and social media platforms aiming to prevent impersonation or fraud.

2. Decentralized Finance (DeFi)

This technology bolsters privacy within DeFi transactions by ensuring user anonymity while still allowing for compliance with necessary regulations—a delicate balance crucial for fostering trust in these emerging financial ecosystems.

3. Supply Chain Management

Zk-DIDs can be utilized in supply chain management systems to verify product authenticity and origin without exposing sensitive business information or trade secrets—enhancing both transparency and trust among stakeholders involved in the supply chain process.

Tackling Challenges Ahead

While promising substantial advancements in privacy-centric identity management solutions through blockchain technology, several challenges remain:

1. Interoperability

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Technical Study
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17.45%
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2.78%
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2.74%
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3.968
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31.24%
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11.50%
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4.62%
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2.14%
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0.00481
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0.00897
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0.011253
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0.000650
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0.002763
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0.006455
9.43%
0.586
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0.00517
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0.066331
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0.05268
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0.3157
0.29%
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38.02%
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2.35%
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19.0120
2.91%
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0.08650
1.09%
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27.11%
0.000000560
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1.48%
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12.42%
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1.50%
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3.33%
18.09
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0.0889
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0.03984
58.35%
0.00003938
0.03%
0.0000618
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0.03768
3.86%
0.01507
31.04%
0.00001266
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0.0617
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0.6388
1.41%
0.004485
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6.21
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25.20
12.80%
0.006239
1.05%
1.396
2.72%
0.1148
4.27%
0.2378
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0.9899
1.58%
0.1999
0.35%
0.00000016302
0.12%
0.000856
0.94%
0.3110
1.83%
337.0
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0.00%
0.00723
0.70%
0.003902
18.93%
0.01853
2.66%
0.001604
41.20%
1.6300
-33.03%
0.1820
-0.82%
10.938
37.69%
10.65
-0.19%
0.001508
-7.48%
1.7632
-0.51%
0.00029883
5.38%
0.6962
-1.44%
0.00362
44.80%
0.00000000009560
2.87%
0.25648
-6.79%
2.952
1.44%
0.650
1.72%
0.4383
3.64%
0.0002438
-8.89%
0.004942
-0.84%
0.00364699
0.49%
0.000283
-8.41%
0.002131
28.22%
0.00488
3.83%
0.00875
-5.61%
0.002737
-10.26%
0.04879
0.58%
0.000365
-2.14%
0.000742
4.65%
0.001953
82.87%
0.02345
-2.45%
0.3188
-0.78%
0.1500
-1.06%
0.000376
-4.57%
0.00010295
10.76%
0.00849
-14.07%
0.06086
-3.76%
0.020532
5.13%
0.0590
22.66%
0.01084
-16.42%
1.027
-2.84%
0.6411
-22.04%
0.01466
-0.20%
0.7483
-6.92%
0.1097
0.55%
0.00004152
2.62%
6.120
-0.44%
0.0002887
-0.93%
0.000209802
-1.11%
0.000000001497
0.00%
0.001060
-9.25%
0.00000466
-6.80%
0.002507
-4.53%
0.000705
-10.65%
0.00814
-4.57%
0.000240
-2.44%
0.4289
6.64%
0.03917
-6.67%
0.000102
6.25%
44.71
0.22%
5.918
-2.25%
0.02599
-10.69%
0.01808
1.63%
17.412
-1.00%
2.209
-0.18%
0.1528
1.39%
0.1426
-6.74%
0.63451
8.83%
0.00006677
1.35%
5.41
-1.99%
0.0685
-4.60%
0.5210
-3.14%
0.001029
-6.79%
0.0000215
-2.27%
0.001426
-10.76%
0.1217
-4.25%
31.27
1.00%
0.00009726
15.79%
0.002082
-11.10%
0.0089
1.14%
0.001625
1.63%
0.0939
0.11%
0.013101
-1.25%
0.00496
-0.80%
0.000001656
-1.72%
0.00000003814
-1.55%
0.000625
-9.02%
0.893
-0.89%
0.006012
-22.08%
0.2516
-0.79%
0.05922
-6.00%
0.5837
1.14%
1.1824
-0.17%
0.05122
6.16%
3076.29
0.41%
0.000389
18.24%
0.2668
-17.55%
1.5011
-0.72%
0.07801
6.75%
0.0003200
-3.50%
0.0000046
17.95%
5.746
-2.53%
0.0058
-12.12%
0.00097
3.19%
0.009363
-2.76%
0.1795
-7.47%
0.3472
-3.18%
0.004740
-24.94%
0.000000000248
-2.36%
0.06319
-2.62%
0.01189
-0.17%
7.71
-3.75%
0.2152
-1.65%
7.6535
-5.55%
0.1390
0.65%
0.004626
7.73%
0.0480
-0.62%
0.00136
7.94%
1.2938
-4.85%
0.2641
-5.34%
0.725
0.42%
2.400
-0.70%
0.553
-1.95%
0.002045
-8.87%
0.02054
-7.48%
0.85380
-0.11%
0.0042
0.00%
1.044
1.36%
0.0404
3.59%
0.3360
8.95%
0.002820
1.66%
0.02636
-5.86%
0.4021
-11.63%
166.79
-0.01%
0.00262
1.16%
0.003891
6.95%
0.1211
4.31%
0.00618
-1.12%
1.995
1.22%
0.2083
-2.75%
0.01869
2.69%
0.03693
-9.57%
0.018130
-19.42%
0.05498
22.18%
0.002305
-10.55%
0.3453
-3.55%
0.5440
-4.49%
0.0235
-0.42%
1.5768
-2.59%
0.01111
-15.26%
0.1078
-2.80%
0.00000001316
-0.53%
0.0005514
-5.94%
6.4899
62.21%
0.0000003074
-3.94%
0.001282
-4.47%
0.03934
-3.55%
2.365
-1.66%
0.00003147
0.06%
0.280
-1.06%
0.03441
-3.29%
0.002928
-7.90%
0.003176
0.03%
0.00002643
3.16%
0.6038
-5.92%
0.004720
-4.24%
0.0000000796
-2.33%
0.003925
-6.55%
9.798
0.29%
0.000870
3.20%
0.006889
44.51%
0.0006624
-0.84%
0.00016984
-15.08%
0.0275
-9.24%
0.00667
-6.45%
0.778
1.04%
0.013053
1.16%
0.000002570
-10.45%
0.1456
-0.75%
0.19643
-4.78%
0.0120
-1.64%
0.2127
-1.21%
0.006109
-8.04%
0.000642
9.56%
0.01460
-17.28%
0.677
-2.03%
0.008000
2.56%
6.5338
-3.05%
0.012770
-1.77%
0.6417
-2.54%
0.001152
1.86%
1.378
-2.48%
0.05496
5.43%
0.01494
2.19%
0.001844
1.15%
0.03129
-0.06%
0.019024
5.73%
0.2830
-1.43%
0.1049
-0.29%
0.0030
-3.23%
0.01429
-14.89%
0.4729
-3.19%
0.002953
-0.87%
0.00152
27.73%
0.0005193
-7.15%
0.0000509
4.30%
0.002013
-14.67%
0.0813
-0.37%
0.1011
-1.37%
0.0110
5.77%
0.07707
1.16%
0.003999
-0.50%
0.13486
-2.23%
0.02239
-20.77%
0.427
0.00%
0.0782
-2.98%
0.00005016
1.09%
3.0369
-2.14%
0.0007276
-6.61%
7.069
-1.28%
0.03044
-8.12%
0.001530
-7.44%
0.00000817
1.87%
0.011992
-4.22%
0.0000745
13.05%
0.1927
-2.48%
0.00000001567
2.82%
0.04410
-26.85%
0.0004486
6.10%
0.03466
-4.49%
0.0464
-0.85%
0.2219
-0.98%
0.2999
-0.20%
0.00000021520
-30.58%
0.00005521
-3.78%
0.003402
-2.55%
0.626
-0.63%
2.300
-2.21%
0.00972
7.88%
0.0002829
-0.84%
2190.46
-0.36%
0.002220
-3.48%
0.0000521
4.62%
1355
6.27%
0.01703
-14.59%
0.00421
0.24%
0.01822
-4.16%
0.000001672
-0.06%
0.1475
-1.07%
0.0007500
-20.06%
0.826
0.00%
19.24
-1.43%
0.7654
0.17%
0.004265
-0.26%
0.1592
-2.39%
0.1012
-3.44%
0.000349
-9.82%
0.000934
-11.72%
0.7620
-0.09%
0.910
-0.66%
0.007259
-0.79%
23.586
-1.53%
0.000000518
0.39%
0.02985
0.47%
0.2784
-1.38%
0.03000
0.00%
0.11737
5.33%
0.00002478
-4.29%
0.1037
-1.80%
0.004433
-10.52%
77.1
-2.28%
0.004401
-3.19%
0.0002212
-24.69%
0.0000000000000159
-11.17%
2.255
3.35%
0.002384
-0.04%
0.01246
-5.39%
0.0098
-2.00%
0.0000086
-3.37%
3.484
-1.53%
0.002112
0.62%
0.2778
3.46%
0.01855
-5.89%
0.7419
-3.17%
0.2140
-1.15%
0.0051036
-0.06%
25.0000
-0.44%
0.01593
-14.54%
0.1108
-0.89%
0.0361
-1.10%
0.000022
-18.52%
0.2228
-1.33%
0.0001532
-24.90%
0.0004856
21.98%
0.0102
-0.97%
0.0000699
145.26%
0.0547
0.55%
0.0000002725
-31.24%
12.32
-0.56%
0.003927
-18.56%
0.491
2.29%
0.3333
-0.27%
0.002920
-6.68%
1.4478
0.58%
0.000001970
-12.33%
0.00000000112
47.37%
0.003495
1.69%
0.00805
7.33%
0.0000266
-1.12%
0.2112
-0.94%
0.03866
-13.45%
0.0000000002103
0.96%
0.001955
-0.05%
0.0000763
-9.81%
0.0008164
-7.62%
0.918
0.99%
0.0065104
-32.18%
0.003439
-0.86%
0.0569
-3.72%
0.03950
-8.48%
1.275
-0.31%
0.0771
0.13%
0.01478
2.00%
0.0001786
114.15%
0.02686
0.64%
0.05695
-0.54%
0.2861
-4.86%
0.05840
-2.75%
0.002473
3.34%
0.001302
-27.79%
3.40
-3.68%
0.001912
1.00%
0.000000000598
-3.55%
17.60
-1.51%
0.1762
-1.01%
0.0766
-1.03%
0.000000000000929
-2.42%
0.000000001818
-4.67%
0.1118
-6.37%
0.000000000658
-9.99%
0.0006363
-2.21%
0.0485
1.04%
0.001303
-4.47%
0.0000086
-3.37%
0.004983
-10.31%
0.3645
-3.11%
6.5085
-8.41%
0.005149
-3.50%
0.003912
0.00%
0.00120
-0.83%
0.1093
-1.89%
0.1703
-2.29%
0.0382
50.39%
0.001169
-4.02%
0.09000
-21.62%
0.00010610
-0.01%
0.00000000015505
-1.19%
0.0261
-2.61%
0.032810
-4.38%
0.00009300
-27.34%
0.02797
0.39%
0.00000000001749
3.43%
0.1541
-4.17%
0.0000000626
0.48%
0.0004089
5.69%
18.14
-0.60%
0.0168
-1.18%
0.00533
-1.30%
0.0000000508
-3.42%
0.00003
0.00%
0.000000002095
2.15%
0.0111
0.91%
0.02511
-0.79%
0.0004
-33.33%
15.13
-3.45%
0.001340
-2.76%
0.0022876
-5.27%
0.01290
-1.83%
0.962
-10.26%
0.000030
0.00%
0.013605
0.05%
0.0066
4.76%
0.0667
-4.44%
0.9168
-0.27%
0.00000724
1.54%
0.661
-3.50%
0.000106
-3.64%
0.000261
60.12%
0.006138
0.97%
0.000000000001765
-0.95%
0.0007592
-6.13%
0.00911
-1.09%
0.0196
2.62%
0.0000018
-10.00%
0.000504
44.00%
0.002701
0.04%
0.00000391
-6.01%
0.000283
-7.82%
0.0006854
-2.52%
0.0937
-3.60%
0.00725
-1.09%
0.0958
21.11%
0.0000000030204
-29.16%
0.0002383
-3.13%
0.000012
-60.00%
0.00306
0.00%
0.0000000173
15.33%
0.0925
-3.04%
0.00000000001278
14.01%
0.00006107
-37.58%
0.01685
-0.77%
0.008231
0.00%
0.001033
0.29%
0.804
-0.25%
0.04024
2.26%
0.0000235
0.00%
0.01116
-12.20%
0.000000000003
-25.00%
0.00000000000012
-53.85%
0.01303
-21.03%
0.1435
-5.59%
8.16
-1.21%
0.00000926
0.00%
0.0112
-2.61%
0.2597
-4.49%
1.530
-1.10%
0.00872
-5.93%
0.00685
-20.81%
0.00237
-15.96%
0.0437
-1.13%
0.3796
-1.99%
84.55
-8.57%
0.05024
-4.65%
2.51
97.64%
0.1281
-1.76%
0.000717
-13.51%
0.000786
-5.19%
0.002013
0.00%
0.0338
-2.31%
0.0000013
85.71%
0.01331
-0.67%
0.01084
-2.95%
0.0048
-26.15%
0.0000242
-3.59%
0.0987
0.61%
0.000835
-0.95%
0.0000651
0.93%
0.05877
-0.58%
0.169000
-26.52%
0.249
-17.00%
0.0570
-2.56%
0.004240
1.12%
0.1173
-1.10%
0.1350
-0.81%
0.1291
-1.90%
18.62
0.54%
0.3893
-1.74%
0.000852
-6.99%
0.000090
5.88%
0.00003
-50.00%
0.003591
-13.37%
450.00
80.00%
0.00649
-0.15%
0.0097
7.78%
0.05804
-0.14%
0.0000119
-15.00%
0.03325
3.52%
0.02945
-1.77%
0.00013
-7.14%
0.01050
0.00%
1.485
-2.50%
0.01674
-1.70%
0.0018
5.88%
0.000025
-3.85%
1.672
-3.13%
0.00027
0.00%
0.001439
-12.79%
0.0002201
-8.37%
0.00093
-27.91%
0.000189
-6.44%
0.02056
1.58%
0.002334
-3.99%
0.03745
-0.87%
0.00000000000097
-2.02%
0.000000000003846
-15.08%
0.00000000000212
19.77%
0.0515
-3.20%
0.00000000000012
0.00%
0.733
-2.01%
0.002244
-9.41%
0.0946
-2.97%
0.000037
-17.78%
0.0000061
0.00%
0.000001624
-3.22%
0.0867
-0.69%
0.1288
-13.85%
0.00000054
-1.82%
0.00002268
-0.18%
0.01286
-1.53%
0.00036
0.00%
0.0000000000000166
5.73%
0.000025
78.57%
0.0125
-6.02%
0.000076
-10.59%
0.0590
1.72%
0.0392
-2.00%
0.0809
-1.94%
3.026
-0.92%
0.0009040
-9.14%
0.0004418
-4.16%
0.02942
-6.66%
0.0696
-1.69%
0.0550
1.48%
0.0001
0.00%
0.0895
1.70%
0.1529
-0.78%
0.000017
21.43%
0.0000099
0.00%
0.537
-1.65%
0.000000000030
-57.14%
0.00000000000651
-0.15%
0.0352
-1.40%
0.000004
-55.56%
0.001100
-3.25%
0.750
0.00%
0.1345
-0.81%
0.003638
-9.91%
0.00004089
-1.64%
0.0119
-2.46%
0.001764
-5.01%
0.0000006650
0.76%
0.00000000000115
0.00%
0.0000138
39.39%
0.001025
-9.93%
0.1905
-2.11%
0.00040
11.11%
0.8437
0.14%
0.0007
-41.67%
0.00025
-3.85%
0.1932
-1.58%
0.0822
-3.75%
0.00608
63.88%
0.001790
0.00%
0.00220
-8.33%
0.0371
-3.13%
0.2993
-0.03%
0.00000007
-41.67%
0.0001402
-0.07%
0.0005
0.00%
0.001047
-7.51%
0.00004
0.00%
0.489
-5.23%
0.0001553
1.84%
0.0000002181
-0.23%
0.00242
-7.98%
0.0000310
-0.64%
0.0004480
-15.26%
0.006304
-6.55%
0.1480
-1.33%
0.0006750
-6.13%
0.0066
3.13%
0.003526
-5.72%
0.00000000003011
79.65%
0.5375
1.66%
0.0014
55.56%
0.00000315
-4.55%
0.000062
40.91%
0.0000329
0.00%
0.0000078
32.20%
2.980
-2.23%
0.001233
-0.72%
0.000003220
101.25%
0.00000000058
5.45%
0.0000000191
3.24%
0.0182
0.00%
0.0009
0.00%
0.0700
39.44%
49.870
-1.46%
0.00011
-8.33%
0.0616
2.67%
0.3905
24.72%
0.00000042
-2.33%
0.000000110
8.91%
0.0108
10.20%
0.0005
25.00%
0.01299
-1.59%
0.7000
0.00%
0.00000000000288
-0.35%
11.5002
-4.96%
0.0026
0.00%
0.00009
-10.00%
0.000196
2.08%
0.000000000019
72.73%
0.3579
-8.54%
100.71
-0.94%
0.01200
0.00%
0.00011
-15.38%
0.003215
-11.87%
0.0027
0.00%
0.3065
-0.07%
0.00004399
0.00%
0.000000000117
8.33%
0.00000007783
0.00%
0.000400
-20.00%
0.00000000003603
4.62%
0.000000000782
-2.37%
0.000056
-27.27%
0.00077
-8.33%
0.000452
-0.22%
0.000092
6.98%
0.000000001868
-0.05%
0.00011
0.00%
0.000000000748
-0.53%
0.0480
-2.83%
0.00006
-40.00%
0.00774
12.34%
0.000000000375
0.27%
0.000190140
4.73%
0.000028
-15.15%
0.00000000000040
0.00%
0.00000000000403
1.26%
0.000000008400
0.00%
0.000000000533
0.00%
0.000000002300
-4.41%
0.000000041
7.89%
0.000000000129
0.78%
0.00030000
-14.29%
8.98
-2.29%
0.00000152
4.83%
0.0246
-3.15%
0.0000282
-9.90%
0.000033
-13.16%
0.001500
0.00%
0.2241
-0.93%
0.0562
28.60%
0.01107
-5.87%
0.001650
50.00%
0.00021
0.00%
0.00083
0.00%
0.0085
41.67%
0.000700
38.34%
0.0000017
-41.38%
0.0000010
42.86%
0.0815
-1.69%
0.005136
-3.89%
0.02318
-14.75%
1.2801
-0.12%
0.01481
-7.26%
0.1176
-1.75%
0.0003844
-5.95%
0.4917
0.57%
0.10563
0.78%
0.1381
-3.90%
0.3725
-2.64%
0.003198
-15.46%
0.2574
0.70%
58.5600
0.00%
0.0596
0.68%
0.0004536
-13.32%
0.0910
-4.61%
0.0005076
-3.85%
0.0003220
0.00%
0.002606
-6.83%
0.0009012
0.00%
0.0004038
-4.38%
0.00600
0.00%
0.0007993
0.00%
6.197
-0.29%
0.2233
1.18%
0.0000675
-0.74%
0.0000397
0.00%
0.002786
-5.30%
0.0012
0.00%
0.7731
-3.12%
1899.00
0.00%
0.4410
-1.61%
0.6000
-2.55%
0.0480
5.73%
0.00426
4.67%
0.00220
-5.98%
0.2093
-2.29%
2.5129
0.00%
0.471
3.06%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
1.877
-1.16%
0.0569
-2.90%
0.000000100
0.00%
0.0001030
0.00%
0.00103
0.00%
0.6814
5.91%
0.0700
0.00%
0.00000000003010
63.06%
0.001127
-3.26%
0.00000089
-5.32%
0.1534
-0.39%
0.01932
-1.02%
0.1907
-2.75%
0.000216
0.00%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
6.463
-0.98%
0.000080
2.56%
0.4424
0.00%
0.000393
1.03%
0.0071
0.00%
0.000210
0.00%
14.20
0.21%
0.0763
-3.78%
0.1142
-1.13%
0.1769
-0.34%
0.004293
-0.88%
0.000452
0.00%
0.0272
0.00%
0.1204
0.00%
2.701
1.12%
1.119
2.10%
0.006000
0.00%
0.000300
0.00%
0.0025
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0064
0.00%
0.0000002593
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.000024
0.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.001405
0.00%
0.2461
-0.16%
0.000483
2.11%
0.000902
0.00%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.004025
0.00%
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%
0.000423
0.00%
0.0065
0.00%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0057
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%
0.0920
0.00%
0.000098
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.000118
0.00%
0.0010
0.00%
0.00037
0.00%
0.001963
0.00%
0.00000055
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%
0.00007
0.00%
0.001234
0.00%
0.000449
0.00%
0.0066
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.020562
0.00%
0.9990
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%
0.01595
0.00%
0.001000
0.00%
50.0000
0.00%
0.0006
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%
0.001801
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
1.448
1.69%
3.7189
0.00%
0.000082
0.00%
0.0071
0.00%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.00008997
0.00%
0.0131
0.00%
0.0013
0.00%
0.1078
0.00%
4.4022
0.00%
0.0745
0.00%
0.002461
0.00%
0.001160
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.020595
0.00%
0.0150
0.00%
0.0036
0.00%
0.1769
0.00%
2.2915
0.00%
0.000257
0.00%
0.000620
0.00%
0.000946
0.00%
0.022345
0.00%
0.4820
0.00%
0.0490
0.00%
0.0096
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.0102
0.00%
0.00007
0.00%
0.01989
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%
0.000446
0.00%
0.4900
0.00%
1.0100
0.00%
0.5000
0.00%
0.010100
0.00%
0.0069
0.00%
0.88686
0.00%
0.05578
0.00%
1.1760
0.00%
0.000561
0.00%
0.1725
0.00%
0.01463
0.00%
0.01451
0.83%
0.00614
0.00%
0.4606
0.00%
0.001800
0.00%
0.000001000
0.00%
0.0000008
0.00%
1.3372
-0.25%
0.00390
0.00%
0.0000325
0.00%
0.00000326
0.00%
1.0000
0.00%
0.00455
0.00%
0.34211
0.00%
0.00132
0.00%
0.0000077
0.00%
0.0005
0.00%
0.00146
0.00%
0.001277
0.00%
0.03520
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%
0.03455
0.00%
0.0032
0.00%
0.000495
0.00%
0.00049
0.00%
0.00041
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%
0.01030
0.00%
0.00240
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%
0.000426832
0.00%
0.00002805
0.00%
0.00776
0.00%
0.1600
0.00%
0.0000245
0.00%
0.000057
1.79%
0.1197
0.00%
0.00056
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.000270
0.00%
0.0668
0.00%
0.000055
0.00%
0.3101
0.00%
0.0000301
-1.31%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.002579
0.00%
0.250
0.00%
0.4445
3.30%
0.3853
-1.73%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0634
3.43%
0.5300
0.26%
0.00500
0.00%
3.58
0.00%
0.01172
1.12%
0.0020
0.00%
0.00538
0.00%
0.4505
1.49%
5155.00
0.00%
2.222
-0.67%
1.501
-2.91%
0.0091
0.00%