🕵️ Blockchain Privacy & Identity (zk-DID)

Fuente: LBankTiempo: 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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40.87%
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8.49%
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4.29%
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0.63%
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4.44%
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2.79%
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0.00013178
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0.000508
0.20%
0.0241
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0.1113
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0.0350
2.94%
0.01747
9.46%
0.971
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0.3018
0.53%
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0.004864
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0.6824
11.96%
16.29
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3.644
0.58%
0.008870
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0.00514
0.19%
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4.32%
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0.2151
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0.0620
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0.00000340
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0.2469
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0.01113
0.63%
0.06076
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0.1160
3.94%
0.0000799
38.96%
0.00509
2.62%
0.002343
5.49%
0.0123577
-2.65%
0.008110
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0.0094
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0.00139
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0.12777
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0.003954
6.75%
0.00763
0.13%
0.000119
0.00%
0.0001001
-19.60%
0.00354868
8.09%
0.000774
4.31%
0.00006522
0.18%
0.27246
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0.000275
0.00%
0.04196
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0.00455
2.71%
9.21
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4.844
0.17%
0.04523
-4.30%
5.52
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1.363
29.32%
0.00000001405
11.07%
0.02731
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0.00306
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0.00460
0.22%
0.0002858
0.92%
0.5220
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0.03654
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0.0008266
2.31%
0.002644
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6.13
0.33%
0.1001
0.00%
0.002503
-1.80%
0.00715
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0.03695
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0.2517
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0.1261
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0.010600
4.55%
0.00000015804
6.10%
0.00056801
17.03%
1.7723
0.60%
0.000867
2.73%
0.01231
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0.005932
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0.7045
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1.521
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0.005440
1.04%
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3.77%
0.00065
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10.52
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0.0000000508
20.38%
0.004162
22.77%
7.796
4.60%
0.0002702
-10.23%
0.1848
-4.99%
0.5745
-1.05%
0.003052
1.09%
0.1135
4.90%
0.000377
1.62%
0.3609
12.85%
0.05286
-4.24%
0.00028352
-0.13%
0.007366
7.60%
0.004992
-0.42%
0.04043
3.85%
0.3004
-5.77%
0.000098
22.50%
0.0409
-21.65%
0.00003942
-0.20%
0.5172
-3.40%
0.000024
-7.69%
0.001441
15.10%
0.0307
-0.65%
0.0757
1.75%
0.00000452
2.49%
17.341
-0.46%
0.2783
-2.42%
0.3209
-5.53%
0.000382
-1.55%
0.2137
0.09%
0.013942
3.14%
0.00094
-5.05%
7.8445
12.70%
0.1032
0.98%
17.80
-0.22%
0.1504
1.76%
3.8796
2.39%
1.933
1.68%
0.01467
0.27%
0.02015
-10.40%
0.0025
4.17%
0.00190
1.06%
0.00852
0.95%
0.01829
-3.94%
0.000000001497
0.00%
0.066555
-0.13%
0.000801
10.48%
0.0538
1.13%
0.05855
-0.66%
0.0112
-17.04%
0.000226
-16.30%
0.004020
1.31%
0.005759
3.67%
0.001939
2.32%
0.013768
-8.63%
0.03920
-3.61%
0.0100
-2.91%
0.00240
-10.78%
0.12394
18.00%
0.1945
-7.38%
0.00000000009255
-0.25%
0.00709
3.35%
10.07
-1.85%
0.0000088
-2.22%
0.0000215
7.50%
0.3091
0.26%
0.000088
-28.46%
0.000000000253
-0.78%
0.08299
10.07%
0.00499
0.20%
0.1005
-3.55%
0.906
0.67%
0.1527
-10.60%
0.1593
0.89%
0.01269
0.63%
0.000832
-1.42%
0.003360
-4.79%
0.000536
-3.07%
0.700
0.00%
0.0066
-2.94%
0.1941
-1.17%
0.001272
-30.11%
0.00008023
1.16%
0.01644
-7.59%
0.00004134
-2.87%
8.47
-4.19%
0.001081
-14.61%
0.002626
-16.98%
0.03490
0.11%
0.0483
0.42%
0.000700
9.03%
0.004319
-4.62%
0.000715
0.00%
0.004219
38.37%
0.0000000356
-18.72%
0.003528
-1.84%
0.00131
-25.99%
0.0002793
-0.68%
0.06835
1.17%
0.01188
0.08%
7.48
1.36%
0.004919
-6.84%
0.002559
2.44%
0.5656
0.12%
0.0231
-2.94%
0.0009273
17.25%
0.0941
1.07%
0.005479
4.50%
0.01320
0.00%
0.1432
1.49%
0.0004927
7.41%
0.0042
0.00%
0.2125
-0.19%
0.0000501
-4.02%
0.04712
-2.10%
0.0000846
7.77%
0.03040
-2.78%
0.0000003134
-0.29%
0.004488
-5.91%
0.00002358
-4.38%
0.01621
-5.59%
1.040
-9.49%
0.903
-1.95%
0.2617
10.80%
0.0000000000000182
-12.92%
0.13591
-0.87%
0.003763
-6.21%
0.0023620
-0.52%
0.0929
1.31%
0.00000004014
-4.97%
7.064
-4.07%
0.283
0.00%
0.017703
-5.37%
0.9089
-0.18%
0.01289
0.86%
0.8090
3.33%
0.04547
3.01%
0.000851
-8.59%
0.03277
-2.35%
0.000298
7.97%
0.000385
-27.50%
0.8980
1.63%
0.0000001464
3.46%
1.528
0.99%
0.04953
0.59%
0.000216429
-15.44%
0.0985
7.77%
0.1702
1.37%
0.0002041
0.00%
13.88
-2.12%
0.02890
-8.92%
1.1795999
-0.11%
0.009005
-10.15%
0.0003959
1.62%
3034.66
-0.80%
91.03
-1.89%
0.0661
3.93%
0.0002165
-2.35%
1.4041
-1.31%
1.3258
0.78%
0.0105
-5.41%
0.002268
3.04%
0.0006874
-0.51%
0.01773
21.11%
19.37
2.27%
0.0008089
-0.82%
0.01829
4.28%
0.11146
1.19%
0.1182
-1.25%
0.1164
-1.61%
0.2592
1.53%
0.7537
-2.55%
0.03166
4.83%
0.003912
-10.87%
0.012517
0.01%
0.001193
-11.43%
0.1056
1.34%
0.6150
-0.18%
0.0344
2.08%
0.0110
0.00%
0.001870
1.41%
0.003007
-0.17%
1.4490
-2.02%
1.004
0.40%
0.003581
25.34%
0.782
-1.26%
0.00016500
46.68%
0.0031
10.71%
0.57832
-3.31%
0.4005
-2.72%
0.0000607
-0.49%
0.363
-3.20%
0.00000001318
-1.49%
0.06967
-10.01%
0.00000805
4.27%
0.0287
2.87%
0.3157
-0.85%
0.03990
-0.05%
0.001260
-3.52%
0.000000493
-0.60%
0.0797
-2.69%
0.002729
-9.55%
0.1296
-2.11%
0.004208
-0.61%
0.0003940
-27.79%
0.00909
7.07%
0.0000000002076
-2.63%
0.01837
6.06%
1.6313
11.09%
0.0000000835
-0.36%
0.0000038
-9.52%
0.002796
6.47%
0.2661
-3.90%
0.4785
-4.97%
0.0818
0.99%
0.01402
13.06%
0.007332
-2.32%
2198.42
-1.68%
0.0103
-4.63%
0.01862
-2.46%
22.62
-6.06%
0.2793
-3.12%
0.3009
-0.50%
0.561
1.45%
6.6974
2.09%
0.0007530
-16.33%
0.2597
-4.21%
0.001132
-0.09%
0.2811
0.82%
0.0000659
-6.66%
0.0468
-1.06%
0.005300
-1.85%
0.0696
-1.00%
0.000845
-6.11%
0.0890
-0.56%
0.1490
0.54%
0.1488
0.20%
0.01683
0.66%
0.00966
-1.63%
0.005900
16.19%
2.286
-6.69%
0.003479
-0.51%
0.3539
-1.17%
0.740
0.82%
0.9745
-0.01%
0.0005692
-1.79%
0.06242
-0.76%
7.96
-5.46%
0.0571
-5.31%
0.001019
-0.10%
0.001656
-6.55%
0.7632
-0.33%
0.0595
0.17%
0.1475
-3.59%
0.624
2.80%
0.0386
0.26%
0.00622
1.63%
0.01321
-0.30%
0.00270
-0.74%
0.00008997
-7.38%
1.234
4.75%
0.00010605
-28.74%
12.31
-2.30%
2.215
0.05%
0.000001669
2.71%
0.00000416
3.48%
0.00230
0.44%
0.8911
-5.21%
18.32
0.05%
0.05721
-4.57%
0.0103
-1.90%
0.00325
-27.78%
0.01825
0.22%
0.003752
-14.00%
0.00001372
-3.92%
0.1986
0.00%
0.001209
-5.03%
0.1641
-6.17%
0.004260
0.59%
0.0000089
15.58%
0.000000099
-8.33%
0.634
0.79%
0.00005818
-5.86%
0.00000008458
8.81%
0.683
0.15%
0.001746
-10.23%
15.78
3.27%
0.00255
0.39%
3.509
0.14%
0.003482
0.00%
0.005673
7.87%
0.001042
0.19%
0.01711
-5.31%
0.0050999
-0.15%
0.00000000001691
24.61%
18.26
-2.77%
0.001826
-9.20%
0.02489
-3.34%
0.2842
0.07%
0.2213
-1.95%
0.00770
-1.53%
0.0360
0.28%
0.0000000620
-2.67%
0.0568
-9.12%
0.01303
-0.46%
18.17
-1.30%
0.006940
-14.32%
166.56
-3.44%
0.00000712
0.00%
0.002008
0.00%
0.00002412
-1.43%
0.000002008
3.67%
0.003456
5.46%
1.417
-1.19%
14.69
-1.21%
0.00004411
11.67%
0.00016659
-25.96%
31.18
1.00%
0.0777
1.30%
0.01811
-1.58%
0.3706
7.14%
0.3855
1.15%
0.000001670
3.09%
0.7000
16.67%
0.002755
-7.11%
0.00776
-14.82%
0.00009352
-1.03%
0.002706
0.56%
0.00649
-0.15%
0.1516
0.33%
0.1154
-0.69%
0.00000000000026
-35.00%
0.002055
0.29%
0.001308
-0.08%
0.001102
-1.25%
0.0000647
8.92%
0.2154
-0.32%
0.8421
-0.27%
0.0003927
0.59%
0.0122
9.91%
0.0083
16.90%
0.3900
0.33%
0.1894
-1.35%
0.000159
1.92%
0.0027
-50.91%
0.550
-8.18%
0.0189
-1.56%
0.02131
6.60%
0.00003
50.00%
0.000085
3.66%
0.013000
4.52%
0.1938
-0.26%
0.723
1.26%
2.300
2.22%
0.0959
-1.03%
0.00000001652
-0.54%
0.0182
0.00%
0.006368
-4.30%
0.02762
-2.40%
0.00809
-8.38%
0.01288
-0.16%
0.0614
-5.83%
0.0365
1.39%
0.005432
2.03%
0.00000000001129
22.85%
0.424
-1.17%
0.20445
4.82%
0.01707
-7.93%
0.000000008400
140.00%
0.00000000015692
-0.26%
0.000000001894
-5.58%
0.1410
0.79%
0.0000491
-6.65%
0.806
-0.62%
0.2338
-2.30%
2.208
0.14%
0.001158
0.87%
1266
-0.39%
0.0867
-0.12%
0.0783
-0.63%
0.0815
0.12%
0.00127
-0.78%
0.0467
-7.71%
0.01648
8.71%
0.1378
-1.64%
0.01469
0.00%
0.00129
-7.19%
0.0394
1.03%
0.0000002157
-0.69%
0.00894
-1.43%
0.000419
-16.37%
0.00000000000180
7.78%
0.013600
0.44%
0.01748
5.94%
0.0003220
0.00%
0.5690
-26.44%
0.001907
-16.47%
0.6051
-1.08%
3.46
-3.62%
2.206
-1.82%
0.020595
-1.96%
0.01044
-5.86%
500.00
19.05%
0.02762
0.55%
0.4292
7.87%
0.0123
-0.81%
0.00000409
5.14%
0.000043
26.47%
0.01650
0.49%
0.1316
0.15%
0.0006866
0.54%
0.2103
-0.10%
0.0000000036990
23.26%
0.000118
-0.84%
0.05578
5.15%
0.033016
-3.50%
0.00000000001833
-44.29%
0.00465
-5.49%
0.000094
64.91%
0.230000
91.67%
0.0388
-1.77%
0.00547
-1.08%
78.4
-1.51%
0.0127
-5.93%
0.2984
-3.62%
0.1172
-0.76%
0.01982
-0.65%
0.002324
4.78%
0.0672
1.82%
6.539
0.15%
0.000000000091
250.00%
0.0170
0.00%
0.00240
-8.40%
0.0002510
0.80%
0.00000000003894
7.13%
0.00874
-1.02%
2.118
-1.12%
0.06086
0.33%
0.0001
0.00%
0.000000000801
2.69%
0.023455
-8.26%
101.67
1.67%
0.00421
0.00%
0.0000019
11.76%
0.00000015700
43.87%
0.000000000004
-20.00%
0.2286
2.19%
6.8994
-5.44%
0.008231
-53.95%
0.000000000003830
0.26%
0.000400
-25.93%
0.5381
0.07%
9.770
0.00%
0.0000109
-6.03%
0.00000000000652
0.15%
0.000905
1.34%
0.000110
-4.35%
0.000389
0.78%
0.00681
1.79%
0.680
0.74%
1.385
-0.36%
0.0057
-37.36%
0.005673
-5.48%
0.000000000000939
-2.29%
0.0065
-32.29%
0.004049
-10.58%
0.6560
2.74%
0.00004894
4.71%
0.4788
-0.68%
0.03001
-0.20%
1.922
0.63%
0.000025
-3.85%
0.00000000000421
10.50%
0.0088
0.00%
0.0000000000000155
-6.63%
0.0000258
-20.86%
0.001308
-2.82%
0.05812
-0.09%
0.000061
-34.41%
0.0002402
0.04%
0.4796
0.04%
0.022500
-3.92%
0.0982
0.10%
0.000072
30.91%
0.0000066
-27.47%
0.00146
-16.57%
0.00036
-10.00%
0.002897
-2.13%
0.1076
-1.74%
0.00002260
1.12%
0.00000000000014
16.67%
0.000000000736
0.68%
0.000000000001710
-1.67%
0.00000000000288
-1.03%
0.00000000000122
16.19%
23.671
-0.16%
1.712
-0.64%
0.472
3.96%
0.000195
1.04%
0.00793
-6.49%
0.0000066
17.86%
0.00003
0.00%
0.000000100
0.00%
0.3792
1.39%
0.01641
-2.03%
0.00000926
-15.82%
0.0000248
1.22%
0.000000000764
-0.13%
0.00007
-41.67%
0.000000000100
-13.04%
0.02515
-0.04%
0.0914
36.42%
0.002579
-0.15%
0.0533
-0.93%
0.003483
1.25%
5155.00
14.00%
0.03455
-3.71%
0.0001450
0.00%
0.2268
0.44%
0.00023846
-1.82%
0.00000056
-1.75%
0.02805
1.45%
0.0005110
10.41%
0.0444
-0.45%
0.002413
-1.35%
0.003026
9.60%
0.000430
-0.46%
0.5277
0.23%
0.001790
-35.05%
0.0005
0.00%
0.000000001963
-4.94%
0.829
-0.36%
0.00027
0.00%
0.00011
10.00%
0.001801
-38.64%
0.0005291
-7.73%
0.0000003963
50.00%
0.000044
33.33%
0.1206
-0.74%
0.1335
-4.09%
0.00032
14.29%
0.0000000150
2.04%
0.0000312
41.82%
0.01133
-1.13%
0.0820
8.47%
0.0957
-1.85%
0.000058
16.00%
0.05326
-0.04%
0.0015
7.14%
0.00171
2.40%
0.000310
0.32%
0.0000085
1.19%
0.003880
-4.97%
1.104
1.75%
0.0064
8.47%
0.001210
-10.30%
0.0000680
-1.31%
0.0064
28.00%
0.004310
0.40%
0.0012
20.00%
0.0006496
-2.59%
0.497
-2.36%
0.03778
-0.11%
0.4395
1.20%
0.0006727
4.75%
0.0004
0.00%
0.0009
0.00%
0.00390
34.02%
0.0503
-1.37%
0.0017
-5.56%
0.2196
-1.48%
0.00007
0.00%
0.1450
-0.96%
0.000423
-0.94%
0.000000750
54.00%
50.0000
0.00%
0.00000000000039
-7.14%
0.00000000058
7.41%
0.1122
0.27%
0.0000061
1.67%
0.000000000535
0.00%
0.000446
0.22%
0.000000000682
-0.87%
0.00614
0.00%
0.000561
1.08%
0.03935
2.31%
0.01595
0.00%
0.00000322
0.94%
0.0012
9.09%
0.00004399
-0.02%
0.00103
17.05%
0.0000329
0.00%
0.0000000000270
0.00%
0.000009
0.00%
0.0007000
-3.31%
0.0005439
4.92%
0.0000397
11.83%
3.064
-0.33%
0.000180431
-7.58%
0.3329
0.88%
0.000685
-18.93%
0.0001203
45.11%
0.1014
-0.39%
0.00000000071
-6.58%
0.0000029
-3.33%
0.00056
7.69%
0.00119
21.43%
0.000307
27.39%
0.00000000000102
-1.92%
0.0065
-5.80%
0.000018
0.00%
0.0631
-6.93%
0.0000007
40.00%
0.00006
0.00%
0.0789
-1.25%
1.2684
3.78%
0.01683
-0.88%
0.10454
-2.73%
0.3805
-1.35%
0.00015
0.00%
0.7385
-3.13%
0.001122
-1.32%
0.001004
4.58%
58.5600
0.00%
0.0004062
-6.69%
0.02947
-2.19%
0.0254
0.00%
0.003910
5.96%
0.00371
0.00%
0.0009012
0.00%
0.0004380
-3.69%
0.00600
0.00%
0.002154
10.57%
0.0007993
0.00%
6.091
-0.47%
0.2244
2.70%
0.000030
11.11%
0.03502
-10.07%
0.001597
-0.62%
0.000014
0.00%
3.0947
-4.24%
0.02373
0.38%
0.003847
-2.61%
0.7846
-1.80%
1899.00
0.00%
1.54
0.00%
0.01277
-5.41%
0.1534
-10.55%
0.0450
2.51%
0.001356
4.71%
0.03134
-0.03%
0.00404
2.54%
0.01185
-0.75%
0.2163
6.97%
2.5129
0.00%
0.455
1.34%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
50.134
-1.46%
3.021
-0.76%
0.0578
-1.87%
0.0001030
0.00%
0.6379
0.62%
0.0868
-0.69%
0.0700
0.00%
0.001152
1.68%
0.00000086
-7.53%
0.01956
0.62%
0.1946
1.46%
0.000216
0.00%
0.548
1.48%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.000090
13.92%
0.4424
0.00%
0.0071
0.00%
0.000210
0.00%
0.0267
-0.37%
0.1781
-2.89%
8.18
-1.56%
0.000452
0.00%
0.0272
0.00%
0.000000002387
3.56%
0.00000045
4.65%
0.1204
0.00%
2.647
0.61%
0.006000
0.00%
0.000300
0.00%
0.00013
0.00%
0.00035
0.00%
0.000000043
7.50%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.0000154
0.00%
0.000014
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0000002593
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.00035000
0.00%
0.000024
-4.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.000000000011
0.00%
0.001405
0.00%
0.2459
-0.32%
0.000467
-0.43%
0.000902
0.00%
0.0227
-7.72%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.000454
-0.66%
0.004025
0.00%
0.0101
0.00%
0.00000100
0.00%
0.0000000104
0.00%
0.00000006
0.00%
0.00000000001676
0.00%
0.001000
0.00%
0.0000000053
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.000000000374
0.00%
0.00025
-7.41%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0020
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.0000006602
-0.20%
0.000758
0.00%
0.001000
0.00%
1.6799
0.00%
0.0927
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.00004
0.00%
0.0010
0.00%
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%
0.0072
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.000086
0.00%
0.000033
0.00%
0.000038
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%
0.4998
0.00%
0.0000111
0.00%
0.00000145
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%
1.1071
0.00%
0.000383
0.00%
4.0009
0.00%
0.001000
0.00%
0.0437
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%
0.000350
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
3.7189
0.00%
0.003015
0.00%
0.00000012
0.00%
0.000082
0.00%
0.0072
0.00%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.0131
0.00%
0.0006
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%
0.001942
0.00%
0.1769
0.00%
2.2915
0.00%
0.0000000199
1.53%
0.0004
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%
0.0502
0.00%
0.004014
-6.85%
12.1000
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.0086
0.00%
0.01989
0.00%
0.00047
0.00%
0.0026
0.00%
0.0009
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.00315
0.00%
0.0650
0.00%
0.3515
0.00%
0.00125
0.00%
0.4900
0.00%
0.9900
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%
1.1760
0.00%
0.00689
0.00%
0.1725
0.00%
0.00010
0.00%
0.01463
0.00%
0.04851
0.00%
0.4606
0.00%
0.00021
0.00%
0.001800
0.00%
0.0000007
0.00%
0.000001547
0.00%
0.01200
0.00%
0.00010
0.00%
0.000001000
0.00%
0.00250
0.00%
0.0000008
0.00%
1.3255
1.26%
0.01050
0.00%
0.0000325
0.00%
0.018686
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%
0.00036
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%
0.00080
0.00%
0.000313
0.00%
0.0000029
0.00%
0.00200
0.00%
0.00000007783
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%
0.0489
0.00%
0.00070
0.00%
0.003000
0.00%
0.0000269
0.00%
0.0000000500
0.00%
0.0000001300
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%
20.3888
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.00240
0.00%
0.3101
0.00%
0.0000305
0.00%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.000198
3.13%
0.0000274
0.00%
0.00865
0.00%
0.3668
0.00%
0.250
0.00%
0.4275
-0.02%
0.3906
0.75%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0602
-1.47%
0.00500
0.00%
3.79
0.00%
0.01164
0.43%
0.0020
0.00%
0.00538
0.00%
0.000000001869
0.00%
1.533
-0.97%
0.0091
0.00%