How does zk-DID (Zero-Knowledge Decentralized Identity) technically work?
How zk-DID (Zero-Knowledge Decentralized Identity) Technically Works
In an increasingly digital world, the need for secure and private identity management has never been more critical. Zero-Knowledge Decentralized Identity (zk-DID) emerges as a groundbreaking solution that allows individuals to prove their identity without disclosing sensitive information. This article delves into the technical workings of zk-DID, exploring its key components, protocol flow, security benefits, and potential applications.
1. Understanding Decentralized Identity (DID)
A Decentralized Identifier (DID) serves as a unique identifier for individuals or entities within a blockchain or decentralized network. Unlike traditional identifiers managed by centralized authorities, DIDs are controlled by the individual themselves. This self-sovereignty empowers users to manage their identities across various applications and services without relying on third-party intermediaries.
2. The Role of Zero-Knowledge Proofs
At the heart of zk-DID lies zero-knowledge proofs—mathematical constructs that enable one party to demonstrate the truth of a statement without revealing any underlying data. These proofs are essential for maintaining privacy while allowing verification processes to occur securely.
The two primary types of zero-knowledge proofs utilized in zk-DIDs are:
- zk-SNARKs: Zero-Knowledge Succinct Non-Interactive Argument of Knowledge is known for its efficiency and compactness in proof generation.
- zk-STARKs: Zero-Knowledge Scalable Transparent Argument of Knowledge offers scalability advantages and does not require a trusted setup phase.
3. Cryptographic Techniques Underpinning zk-DIDs
The effectiveness of zk-DIDs relies on several cryptographic techniques that ensure secure communication and data integrity:
- Public-Key Cryptography: This technique facilitates secure communication between parties through asymmetric encryption methods where each user possesses both public and private keys.
- Hash Functions: Hash functions create unique identifiers from input data while ensuring data integrity through irreversible transformations.
- Homomorphic Encryption:This advanced form of encryption allows computations on encrypted data without needing decryption first, enhancing privacy during processing operations.
4. Protocol Flow: How zk-DID Operates
The operational flow of zk-DID can be broken down into several key steps that illustrate how users interact with this technology effectively:
- Initialization:
The user generates their DID along with a corresponding private key stored securely on their device or wallet. - Create Verification Proof:
The user constructs a zero-knowledge proof demonstrating possession of their private key while keeping it confidential from external parties. - User Interaction with Service Provider:
The service provider requests verification from the user based on specific criteria related to access or authentication needs. - Pseudonymous Verification Process:
The service provider verifies the user's proof using cryptographic methods without gaining access to any personal information about them—ensuring anonymity throughout this process.5 . Security Benefits Offered by zk - DID < p > The implementation o f z k - D I D provides numerous security advantages : < ul > < li >< strong > Privacy : Users ' sensitive information remains confidential , protecting them against potential breaches . < li >< strong > Anonymity : Individuals can maintain anonymity while still proving necessary aspects o f their identity , fostering trust in digital interactions . < li >< strong > Enhanced Security : The use o f zero - knowledge proofs guarantees that verification processes are robust , minimizing risks associated with identity theft or fraud . < / ul >
6 . Applications o f z k - D I D Technology < / h 2 > < p > The versatility o f z k - D I Ds opens doors t o various applications across industries : - < strong > Identity Verification : Secure login mechanisms enabling seamless authentication across platforms .
- < Strong > Compliance : Meeting regulatory requirements related t o privacy laws such as GDPR .
- < Strong > Trustless Interactions : Facilitating decentralized systems like blockchain where trust is established through cryptographic means rather than centralized authorities .
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0.00450 | 0.00% | |
0.0008830 | -3.81% | |
0.00152 | -4.40% | |
1.417 | 5.27% | |
0.0598 | -3.86% | |
0.02201 | 15.54% | |
0.509 | -7.79% | |
0.000119 | 0.00% | |
0.00283 | -4.07% | |
0.008087 | 0.10% | |
0.476 | -6.48% | |
0.2663 | -2.95% | |
0.00039234 | 0.14% | |
0.000853 | 1.19% | |
0.01517 | -7.44% | |
6.25 | -12.83% | |
0.1607 | -11.95% | |
0.02047 | -7.00% | |
0.1894 | -5.82% | |
0.1600 | -3.03% | |
0.1136 | 0.62% | |
0.5800 | 28.43% | |
1.7644 | 0.00% | |
0.01042 | -15.63% | |
0.002711 | -11.17% | |
0.00729 | 0.00% | |
2.7181 | 1.33% | |
0.013802 | -0.99% | |
3110.00 | -1.04% | |
0.0000430 | -16.99% | |
0.00580 | -10.49% | |
0.002510 | -11.12% | |
0.00214 | -2.28% | |
18.2146 | -3.09% | |
0.9250 | -10.58% | |
0.0000000001891 | -2.48% | |
0.004090 | -9.07% | |
0.01610 | -7.84% | |
0.00006723 | -0.36% | |
0.000000442 | -12.82% | |
0.000361 | -2.43% | |
0.00005950 | -4.29% | |
0.005003 | 0.56% | |
0.1838 | -8.51% | |
0.6855 | 0.88% | |
0.008000 | 12.76% | |
7.8436 | -6.34% | |
0.013644 | -0.01% | |
0.1723 | -6.10% | |
0.00001154 | -4.63% | |
0.01101 | -4.43% | |
0.5760 | -5.62% | |
0.05833 | 3.17% | |
0.000203037 | 1.61% | |
0.00915 | -4.09% | |
0.4616 | -8.59% | |
0.000388 | 0.52% | |
0.00175 | -9.33% | |
2.636 | -8.28% | |
0.002730 | 6.85% | |
0.004035 | 3.67% | |
0.0004372 | 8.14% | |
0.0001972 | -10.20% | |
1.033 | -16.83% | |
0.0516 | -6.18% | |
0.005482 | -34.02% | |
0.00319860 | -6.34% | |
0.017143 | 14.29% | |
0.062946 | -2.09% | |
0.007772 | 4.18% | |
0.000840 | 6.87% | |
0.01467 | -0.07% | |
0.06654 | 5.28% | |
0.1727 | -5.89% | |
0.0029997 | -0.74% | |
0.0000136 | -17.07% | |
2.407 | -13.82% | |
0.002228 | 90.26% | |
0.8585 | -3.59% | |
0.002467 | 34.15% | |
0.000747 | 6.26% | |
0.752 | -9.29% | |
0.002048 | 2.40% | |
0.001510 | -4.19% | |
0.0122 | 6.09% | |
0.05575 | -3.95% | |
14.64 | -15.52% | |
1.0734 | -3.31% | |
0.3612 | -5.35% | |
0.0315 | -8.16% | |
0.0041 | -2.38% | |
0.309 | -7.21% | |
0.000289 | -13.21% | |
0.00454 | 0.67% | |
0.00001487 | -15.80% | |
0.00208 | -8.77% | |
0.015393 | -1.78% | |
0.00841 | -4.32% | |
0.002944 | -4.94% | |
0.00000014080 | -5.24% | |
7.26 | -5.47% | |
0.006465 | -5.92% | |
0.0666 | -5.53% | |
0.21925 | -13.73% | |
0.000297 | -1.66% | |
0.6442 | -6.28% | |
0.01145 | -4.66% | |
0.01693 | -2.76% | |
0.02693 | -9.23% | |
0.410 | -3.98% | |
0.004208 | 18.87% | |
0.01203 | -4.75% | |
0.773 | -7.54% | |
0.0112 | -50.88% | |
0.01245 | 4.18% | |
0.0000237 | -3.27% | |
0.004830 | -9.65% | |
0.000000000237 | -0.84% | |
0.002300 | -8.62% | |
0.003873 | 19.21% | |
0.000224 | 7.69% | |
0.0002940 | -8.10% | |
0.001808 | -1.69% | |
16.65 | -2.29% | |
0.001648 | -9.15% | |
0.7465 | -22.78% | |
0.555 | -4.31% | |
0.00782 | -13.11% | |
0.478 | -4.97% | |
0.003429 | -3.57% | |
0.2019 | -9.26% | |
0.0000000405 | 11.88% | |
0.3677 | -8.46% | |
0.0000016698 | 0.59% | |
0.0480 | -2.83% | |
0.880 | -4.86% | |
0.0056 | 33.33% | |
0.00101 | -30.82% | |
0.00000003319 | -3.07% | |
0.85260 | -0.03% | |
0.000508 | -1.93% | |
0.001578 | -10.70% | |
0.001618 | -5.82% | |
0.3471 | 1.46% | |
0.0006019 | -1.78% | |
0.0418 | -4.57% | |
0.002024 | -4.93% | |
0.1664 | -5.35% | |
1981.78 | -2.80% | |
0.00003343 | -1.44% | |
0.0062 | 1.64% | |
0.1230 | -6.11% | |
0.0001760 | -25.07% | |
0.00153 | -9.47% | |
0.0003127 | -23.28% | |
17.64 | 4.94% | |
0.000522 | -27.80% | |
27.29 | -2.88% | |
0.001174 | -12.91% | |
5.292 | -2.24% | |
0.4115 | -4.08% | |
0.00000001196 | -0.08% | |
2.510 | -6.31% | |
4.721 | -6.40% | |
0.04761 | -7.86% | |
0.0257 | -4.46% | |
0.00233 | -2.92% | |
0.00000419 | -4.99% | |
0.03554 | -3.19% | |
0.3000 | -17.81% | |
0.2691 | -4.98% | |
0.0901 | -5.75% | |
0.07629 | -6.15% | |
0.1930 | -1.88% | |
0.01370 | -9.15% | |
0.000093 | -3.13% | |
0.0000550 | -2.31% | |
0.0000000905 | -0.55% | |
0.03689 | -11.19% | |
0.55324 | -5.35% | |
0.0002033 | -11.92% | |
0.03230 | -0.22% | |
0.001701 | -13.39% | |
0.031043 | 4.44% | |
0.01101 | 4.06% | |
0.0000002925 | 7.34% | |
0.01476 | -9.23% | |
0.0002471 | -7.70% | |
0.6610 | -5.76% | |
0.001309 | 12.46% | |
0.02284 | -6.20% | |
1.6875 | 8.50% | |
0.0732 | -4.94% | |
0.003899 | -3.56% | |
0.01809 | -2.22% | |
0.10783 | -8.56% | |
0.011987 | 0.01% | |
0.0007372 | -3.57% | |
0.0151 | -4.43% | |
1.739 | -6.91% | |
0.0860 | -6.01% | |
1.958 | -4.30% | |
0.1437 | -6.51% | |
0.2440 | -7.15% | |
0.000906 | -14.12% | |
0.01225 | -6.20% | |
0.447 | -4.69% | |
0.782 | -6.57% | |
0.2483 | -5.84% | |
0.0000464 | -3.33% | |
2.173 | -0.59% | |
0.00600 | -7.69% | |
0.02657 | -4.04% | |
0.1217 | -7.80% | |
0.1964 | -16.64% | |
0.592 | -6.33% | |
0.2457 | -3.27% | |
0.237 | -6.32% | |
0.00000000008478 | -11.41% | |
0.000238 | 23.32% | |
0.0209 | -10.30% | |
0.005982 | 3.01% | |
0.0000002619 | 2.26% | |
0.01886 | -10.15% | |
0.00000001640 | -2.61% | |
0.0617 | -4.34% | |
0.03358 | -8.28% | |
0.3114 | -14.59% | |
0.0157 | -8.19% | |
6.38 | -5.48% | |
0.02286 | -2.72% | |
0.0004081 | -18.71% | |
0.2682 | -4.83% | |
0.001133 | -3.74% | |
0.003053 | 4.38% | |
0.00932 | -4.51% | |
0.01394 | -11.21% | |
0.003941 | -0.53% | |
0.002952 | -14.34% | |
15.93 | -4.44% | |
0.01334 | -2.77% | |
0.004598 | -5.88% | |
0.537 | -7.89% | |
0.0645 | -1.23% | |
0.1044 | -8.50% | |
0.0000000000000141 | -3.42% | |
0.000001498 | -2.03% | |
305.5 | -1.13% | |
0.0003473 | -6.08% | |
0.1062 | -7.57% | |
0.2992 | -10.47% | |
0.0620 | -1.27% | |
0.0779 | -5.23% | |
1.873 | 5.34% | |
0.0000579 | -10.92% | |
0.01142 | -3.30% | |
0.7614 | -0.01% | |
2.117 | -4.03% | |
0.00000001257 | -6.61% | |
0.002974 | -10.88% | |
0.002223 | -1.68% | |
0.0000259 | -1.52% | |
0.05030 | -5.27% | |
0.012385 | -0.02% | |
2.941 | -6.07% | |
0.00030000 | 0.00% | |
0.1873 | -3.80% | |
8.29 | -5.80% | |
0.00622 | -30.89% | |
0.001566 | -4.22% | |
0.00000000001058 | -10.49% | |
0.1183 | -8.79% | |
0.000303 | 14.77% | |
0.0051023 | -0.23% | |
0.00097 | 4.30% | |
0.0104 | 6.12% | |
0.0002899 | -6.75% | |
0.0000089 | -2.20% | |
0.1041 | -27.96% | |
0.004215 | -9.57% | |
0.0611 | -1.61% | |
0.0117 | -66.38% | |
0.1223 | -11.44% | |
0.00000653 | -9.81% | |
0.0134 | -9.46% | |
0.000266 | -4.66% | |
0.0003560 | -9.64% | |
0.0104 | 8.33% | |
0.09172 | -7.27% | |
0.01542 | -7.11% | |
0.01014 | -6.28% | |
0.003211 | -10.31% | |
0.001099 | 4.67% | |
0.0051 | 13.33% | |
0.002500 | 1.01% | |
15.98 | -4.99% | |
0.0864 | 44.00% | |
0.02910 | -14.41% | |
0.006101 | -7.14% | |
0.0520 | -1.52% | |
0.2622 | -6.52% | |
0.001022 | -4.13% | |
0.00416 | 0.48% | |
39.76 | -3.80% | |
0.02671 | -12.54% | |
0.7280 | 0.50% | |
0.0005477 | -2.06% | |
0.00002886 | 7.89% | |
0.001336 | -5.52% | |
0.002389 | -16.56% | |
0.0000000465 | -1.69% | |
0.017744 | -2.63% | |
0.0098 | -2.00% | |
0.380 | -4.04% | |
69.2 | -4.81% | |
0.0000021 | 0.00% | |
0.0002640 | -7.63% | |
0.4705 | -5.88% | |
0.02000 | 233.33% | |
0.002959 | -14.75% | |
0.0000591 | -3.27% | |
0.2573 | 1.86% | |
0.0000000753 | 0.80% | |
0.006500 | -2.99% | |
0.1299 | -3.92% | |
0.0483 | -10.06% | |
0.004739 | 5.43% | |
4.362 | -5.11% | |
0.0096 | -2.04% | |
0.01261 | -9.99% | |
0.005455 | -4.35% | |
0.00126 | -3.82% | |
6.2370 | -0.61% | |
13.35 | -4.57% | |
0.00760 | -5.24% | |
0.0563 | -14.44% | |
1339 | -6.43% | |
0.1731 | -7.04% | |
0.010811 | -5.42% | |
0.0575 | -7.85% | |
0.2480 | -12.09% | |
0.0005546 | -11.63% | |
0.0000031 | -11.43% | |
0.1258 | -9.43% | |
56.23 | -20.70% | |
0.0891 | -2.84% | |
0.0833 | -4.58% | |
0.1099 | -7.57% | |
0.1500 | -6.19% | |
0.1082 | -4.84% | |
0.06006 | -15.76% | |
0.008899 | 5.93% | |
0.2782 | -5.98% | |
19.17 | -9.83% | |
0.004517 | -10.48% | |
0.000650 | -10.96% | |
0.018559 | -9.74% | |
0.03537 | -1.50% | |
0.2500 | -6.68% | |
0.04081 | -10.68% | |
0.002846 | -5.45% | |
0.00766 | -6.47% | |
0.0000000125 | -17.76% | |
0.01134 | -6.82% | |
0.0004305 | 8.55% | |
0.5464 | -4.26% | |
15.36 | -7.13% | |
0.2986 | -13.95% | |
1.196 | -5.90% | |
0.2454 | -6.16% | |
0.000345 | -4.43% | |
0.000600 | -7.69% | |
0.2121 | -3.50% | |
0.000169 | -2.31% | |
0.001719 | -6.63% | |
146.17 | -1.34% | |
0.000933 | -4.60% | |
0.4233 | -3.07% | |
0.01476 | -10.44% | |
0.3310 | -5.62% | |
0.00000226 | -21.25% | |
0.001661 | -10.79% | |
0.0000008 | 14.29% | |
0.003340 | -8.82% | |
0.656 | -13.23% | |
101.67 | 0.95% | |
0.1867 | -2.56% | |
0.0006753 | 1.15% | |
0.00979 | -5.87% | |
0.0984 | -3.91% | |
0.0004004 | -5.39% | |
0.0004914 | 3.63% | |
0.00000000155 | 8.39% | |
0.00000722 | 0.00% | |
0.01124 | -4.66% | |
0.005669 | -10.98% | |
0.0779 | 0.91% | |
5.47 | -7.13% | |
0.04504 | 8.48% | |
0.0000801 | 81.22% | |
0.000675 | 3.53% | |
0.000002074 | -14.69% | |
0.1596 | -5.23% | |
0.0150 | -8.54% | |
0.0232 | -2.11% | |
11.13 | -2.20% | |
0.000816 | 0.12% | |
0.3392 | -5.41% | |
0.706 | -3.95% | |
12.78 | -3.18% | |
0.1966 | -4.61% | |
0.00711 | -3.53% | |
0.002350 | -11.32% | |
0.000482 | -14.69% | |
0.8049 | -1.34% | |
0.000000001300 | -13.16% | |
0.002633 | -6.20% | |
0.04508 | -1.18% | |
0.885 | -7.62% | |
0.1062 | -10.23% | |
0.0000000624 | -2.35% | |
0.002434 | -25.52% | |
0.1076 | -7.16% | |
0.1889 | -0.63% | |
0.2615 | -7.20% | |
0.0225 | -5.06% | |
0.01128 | -2.67% | |
0.01459 | -8.35% | |
1.3082 | -6.55% | |
0.04130 | -1.43% | |
0.0012 | 100.00% | |
0.656 | -3.24% | |
0.00692 | -1.42% | |
1.335 | -3.33% | |
0.0861 | -6.00% | |
0.01398 | -14.44% | |
0.003867 | -8.78% | |
0.000000000000847 | 2.05% | |
0.669 | -5.77% | |
0.1775 | -3.53% | |
0.000412 | 0.49% | |
0.00002 | -33.33% | |
0.00490 | -5.77% | |
0.002243 | -7.96% | |
22.301 | -2.73% | |
0.000018 | -65.38% | |
5.605 | -5.66% | |
0.8337 | 0.20% | |
0.0304 | -3.80% | |
0.00000000000021 | 16.67% | |
0.5395 | -2.58% | |
0.0750 | -5.54% | |
16.40 | -3.42% | |
0.6791 | -8.02% | |
0.0811 | -5.04% | |
0.00225 | 14.80% | |
0.590 | -4.68% | |
0.00031 | -3.13% | |
0.0000565 | -9.31% | |
2.124 | -6.47% | |
0.02482 | -14.94% | |
0.00008786 | -2.04% | |
0.002580 | -4.83% | |
0.750 | 0.00% | |
0.1156 | -5.56% | |
0.0419 | -6.47% | |
0.00000000000014 | 0.00% | |
0.310 | -3.73% | |
0.2133 | -6.90% | |
0.0509 | -6.95% | |
0.00009108 | -3.08% | |
0.00002248 | -2.89% | |
0.00000000001434 | 10.65% | |
0.000009 | -18.18% | |
0.03676 | -2.65% | |
0.00000000000039 | -2.50% | |
0.00000014000 | -51.69% | |
0.0000213 | -4.91% | |
0.0074 | -10.84% | |
0.0000061 | 10.91% | |
0.001020 | -4.23% | |
0.5141 | -2.63% | |
2.848 | -3.59% | |
0.2040 | -4.67% | |
0.000000000004690 | 0.02% | |
0.01240 | -3.20% | |
6.204 | -4.74% | |
0.000839 | -0.83% | |
0.00020 | -20.00% | |
0.0000080 | -6.98% | |
0.000600 | 0.00% | |
0.0679 | -5.17% | |
0.00867 | -12.86% | |
0.00113 | 0.00% | |
0.2966 | -11.28% | |
0.005978 | 11.14% | |
0.0767 | -3.28% | |
0.000351 | 0.86% | |
0.000000000001596 | -13.45% | |
0.03904 | -6.91% | |
0.0000579 | -13.58% | |
0.0050 | -29.58% | |
0.0003675 | -7.03% | |
0.000024 | 0.00% | |
0.000058 | -1.69% | |
0.000000097 | -7.62% | |
0.1206 | -8.71% | |
0.00000861 | 3.61% | |
0.001602 | 0.25% | |
0.0288 | -8.86% | |
1.257 | -3.08% | |
8.33 | -2.46% | |
0.00002007 | -1.18% | |
0.00609 | -2.56% | |
0.4861 | -3.86% | |
0.0013 | 8.33% | |
0.04337 | -15.79% | |
0.00000000000235 | 12.44% | |
0.000071 | 20.34% | |
0.000000000449 | -15.76% | |
1.257 | -6.05% | |
0.000013 | -48.00% | |
0.2167 | 3.04% | |
0.02183 | -5.46% | |
0.00030 | -3.23% | |
0.1423 | -1.86% | |
0.0499 | -8.94% | |
0.2137 | -3.39% | |
0.17840 | -1.37% | |
0.0000000000000169 | -1.17% | |
0.05440 | 2.85% | |
0.0431 | -2.71% | |
0.05943 | -0.92% | |
0.0532 | 3.30% | |
0.1231 | -9.62% | |
0.001100 | -47.59% | |
0.1129 | -1.31% | |
0.0007 | 0.00% | |
0.003501 | -3.74% | |
0.0119 | 9.17% | |
0.004180 | -0.81% | |
0.002700 | 5.02% | |
0.000000000019 | 0.00% | |
0.01069 | 0.09% | |
0.0000032 | 10.34% | |
3.8900 | 54.80% | |
0.000000000003 | -40.00% | |
0.000833 | -9.06% | |
0.010200 | 0.99% | |
4.62 | -7.23% | |
0.0002100 | -4.59% | |
0.00756 | -2.33% | |
0.0318 | -4.79% | |
0.00000000003545 | -0.76% | |
0.00000000000872 | 33.95% | |
0.00010999 | 80.10% | |
0.1875 | -5.26% | |
0.000000000765 | 0.66% | |
0.0000071 | -29.00% | |
0.002503 | 20.45% | |
0.00000353 | -5.87% | |
0.4379 | -3.27% | |
0.0000004 | -60.00% | |
0.0660 | -5.58% | |
0.0001623 | 1.56% | |
0.003869 | -7.88% | |
0.0003495 | -56.31% | |
0.03420 | -0.29% | |
0.000001671 | 5.09% | |
0.001122 | -2.86% | |
0.03372 | 0.00% | |
0.07937 | -0.63% | |
50.0000 | 0.00% | |
0.00000000001940 | 0.26% | |
0.0650 | -8.45% | |
0.0341 | -4.48% | |
0.00023 | -36.11% | |
0.01995 | 5.11% | |
0.000000001700 | -1.56% | |
0.0875 | -4.48% | |
0.3571 | -4.60% | |
0.001022 | -4.93% | |
0.00000051 | -3.77% | |
0.00248 | -9.82% | |
0.000000002113 | -1.08% | |
0.548 | -2.32% | |
0.000092 | 0.00% | |
0.008231 | 0.00% | |
0.0000509 | 0.79% | |
0.00006 | -14.29% | |
0.0984 | -4.28% | |
0.024504 | 0.00% | |
0.0000055 | 14.58% | |
0.000001318 | -1.27% | |
0.000937 | -2.70% | |
0.000000000744 | 0.40% | |
0.00414 | -7.38% | |
0.0008 | 60.00% | |
0.000000000573 | 37.08% | |
0.1664 | -8.67% | |
1.384 | -1.07% | |
0.0943 | -6.82% | |
0.000000000009 | 0.00% | |
0.00510 | 0.00% | |
0.0006893 | -6.83% | |
0.001791 | 0.06% | |
0.0019283 | -9.23% | |
0.00000006 | 0.00% | |
17.337 | -3.14% | |
0.0084 | 27.27% | |
0.1007 | -2.99% | |
0.6998 | -0.01% | |
0.000019 | 0.00% | |
0.001518 | -23.60% | |
0.0947 | -9.38% | |
0.00000103 | 3.00% | |
0.00008 | -38.46% | |
0.003451 | -11.78% | |
0.01726 | -4.90% | |
0.0009 | 0.00% | |
1.73 | -27.92% | |
0.00004 | -20.00% | |
0.01507 | -3.95% | |
0.00000000000099 | -1.00% | |
0.0271 | -0.37% | |
0.000018 | -28.00% | |
0.0001450 | 0.00% | |
0.002036 | 2.47% | |
0.00010 | 42.86% | |
0.9900 | 0.00% | |
0.0063 | -1.56% | |
0.0000339 | 10.06% | |
0.00000011220 | -28.39% | |
0.0005767 | -5.71% | |
0.0002 | -50.00% | |
0.0000002192 | -1.35% | |
0.000000000040 | -42.03% | |
1.050 | -6.33% | |
0.0192 | -45.30% | |
0.00046 | -6.12% | |
0.00000000000289 | 1.05% | |
0.0768 | -8.13% | |
0.001996 | -10.37% | |
0.0000021 | -84.78% | |
0.00000285 | -3.39% | |
0.00000000000426 | 0.47% | |
0.00083 | -19.42% | |
0.0000000206 | 8.42% | |
0.0001320 | 28.16% | |
0.00995 | -0.50% | |
0.001035 | 47.65% | |
0.000064 | 72.97% | |
0.00000000052 | -1.89% | |
0.000042 | 2.44% | |
0.0727 | -7.86% | |
0.000000000099 | -13.16% | |
0.0195 | 82.24% | |
0.0000001300 | 0.00% | |
0.001263 | 0.00% | |
0.0055 | -3.51% | |
0.000011 | 0.00% | |
0.0000000109 | 105.66% | |
0.000258 | 0.39% | |
0.000076 | -3.80% | |
0.00000011 | 37.50% | |
0.00004398 | 0.00% | |
0.0663 | 2.79% | |
0.01754 | -7.10% | |
0.000709 | -4.70% | |
1.1075 | -1.54% | |
0.5391 | -0.50% | |
0.09337 | -2.47% | |
0.00013 | 8.33% | |
0.000888 | -14.45% | |
0.001297 | 1.41% | |
1.4572 | -5.84% | |
58.5600 | 0.00% | |
0.00004314 | -2.27% | |
0.0459 | -16.39% | |
0.002101 | -7.44% | |
0.02905 | -0.24% | |
0.001799 | -7.65% | |
0.0006695 | 2.09% | |
0.003163 | -8.21% | |
0.00385 | 0.00% | |
0.0009012 | 0.00% | |
0.0000101 | -15.13% | |
0.0003988 | 0.61% | |
0.0007993 | 0.00% | |
5.937 | -2.66% | |
0.0000329 | 0.00% | |
0.003396 | 6.29% | |
0.000028 | 7.69% | |
0.011141 | 4.77% | |
0.002554 | -13.31% | |
0.002272 | -6.92% | |
1899.00 | 0.00% | |
0.4084 | -0.99% | |
0.1161 | -11.51% | |
0.04284 | -9.85% | |
0.000113 | -6.61% | |
0.4913 | -10.56% | |
0.000758 | 2.85% | |
0.1295 | -7.76% | |
0.000001969 | 3.63% | |
1.267 | -1.25% | |
0.0399 | 1.53% | |
0.001140 | -6.25% | |
0.02741 | -2.70% | |
0.00208 | 0.00% | |
0.000119 | 0.00% | |
0.0818 | 5.68% | |
0.00962 | -2.24% | |
2.80 | -6.98% | |
1.000000 | 0.00% | |
0.1696 | -3.20% | |
0.3771 | 0.00% | |
0.550 | -7.41% | |
0.5732 | 0.00% | |
48.532 | -0.23% | |
1.780 | -1.98% | |
2.659 | -2.85% | |
0.000000047 | -53.00% | |
0.1315 | -6.27% | |
0.06910 | -3.09% | |
0.649 | -1.96% | |
0.6437 | -5.10% | |
0.0700 | 0.00% | |
0.00000000015708 | 0.00% | |
0.001104 | -3.50% | |
0.00000080 | 0.00% | |
0.1643 | -4.14% | |
0.000216 | 0.00% | |
0.0000000030210 | 0.00% | |
1.415 | -7.46% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
1.1371 | 0.00% | |
0.4424 | 0.00% | |
0.2152 | 0.23% | |
0.0383 | -4.49% | |
0.000366 | -3.68% | |
0.0071 | 0.00% | |
0.01547 | -4.09% | |
0.000210 | 0.00% | |
0.00782 | -1.88% | |
2.010 | -4.60% | |
0.1510 | -4.67% | |
6.72 | -5.35% | |
0.0411 | -4.64% | |
0.000452 | 0.00% | |
0.230000 | 0.00% | |
0.000000002314 | -4.42% | |
0.000187775 | -1.02% | |
0.00000041 | -2.38% | |
0.1204 | 0.00% | |
2.736 | 2.74% | |
1.032 | -2.27% | |
0.004000 | 0.00% | |
0.000300 | 0.00% | |
0.0023 | 0.00% | |
0.00035 | 0.00% | |
0.0112 | 0.00% | |
0.000000037 | -9.76% | |
0.0005 | 0.00% | |
0.00033 | 0.00% | |
0.011926 | 0.00% | |
0.0000192 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.001201 | 0.00% | |
0.0000002593 | 0.00% | |
0.000007 | 0.00% | |
0.00001584 | 0.00% | |
0.000091 | 0.00% | |
0.0000001013 | 0.00% | |
0.00005 | 0.00% | |
0.00006187 | 0.00% | |
0.000077 | 0.00% | |
0.001405 | 0.00% | |
0.2471 | 0.53% | |
0.000902 | 0.00% | |
0.0219 | -3.52% | |
0.000000000766 | -0.26% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00012800 | 37.63% | |
0.000454 | 0.22% | |
0.004025 | 0.00% | |
0.0117 | 0.86% | |
9.617 | -1.03% | |
0.0000000104 | 0.00% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000045 | 0.00% | |
0.00001626 | 0.00% | |
0.000000000375 | 0.00% | |
0.00023 | -4.17% | |
0.000000008400 | 0.00% | |
0.000427 | 0.00% | |
0.0063 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000000000101 | 0.00% | |
0.001290 | 0.00% | |
0.00000011 | 0.00% | |
0.0000006650 | 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% | |
0.00004 | 0.00% | |
0.000118 | 0.00% | |
0.0010 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.0027 | 0.00% | |
0.00005458 | 0.00% | |
0.00280 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0001000 | 0.00% | |
0.05056 | 0.00% | |
1.3575 | 0.00% | |
0.00136 | 0.00% | |
0.000033 | 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% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.00003075 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.000808 | 0.00% | |
0.001200 | 0.00% | |
0.000100 | 0.00% | |
0.001050 | 0.00% | |
0.000383 | 0.00% | |
0.00012700 | 0.00% | |
0.01590 | 0.00% | |
0.001000 | 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% | |
0.000365 | 0.00% | |
0.0200 | 0.00% | |
0.0093 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0320 | -3.03% | |
0.0131 | 0.00% | |
0.0013 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.001120 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.1769 | 0.00% | |
2.2915 | 0.00% | |
0.0005 | 0.00% | |
0.000632 | 0.00% | |
0.0099 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.0002031 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
2.1111 | 0.00% | |
0.0060 | 0.00% | |
0.0550 | 0.00% | |
0.004332 | 4.94% | |
8.4900 | 0.00% | |
1.76670591 | 0.00% | |
0.0024 | 0.00% | |
0.0048 | 0.00% | |
0.000399 | 0.00% | |
0.0001702 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.0001 | 0.00% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.000835 | 0.00% | |
0.0102 | 0.00% | |
0.00006 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.0014 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.00294 | 0.00% | |
0.0650 | 0.00% | |
0.3515 | 0.00% | |
0.00125 | 0.00% | |
0.0906 | -0.55% | |
0.000446 | 0.00% | |
0.4900 | 0.00% | |
0.000062 | 0.00% | |
1.0100 | 0.00% | |
0.5000 | 0.00% | |
0.0069 | 0.00% | |
0.88686 | 0.00% | |
0.00077 | 0.00% | |
0.05578 | 0.00% | |
1.1760 | 0.00% | |
0.000561 | 0.00% | |
0.00774 | 0.00% | |
0.1725 | 0.00% | |
0.00008 | 0.00% | |
0.03786 | 0.00% | |
0.01463 | 0.00% | |
0.01371 | -1.22% | |
0.0000080 | -4.76% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
0.0000008 | 0.00% | |
1.3505 | 2.82% | |
0.00390 | 0.00% | |
0.0000310 | 0.00% | |
0.0000325 | 0.00% | |
1.0000 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.1195 | 0.00% | |
0.00146 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.0000023 | 0.00% | |
0.000000005 | 0.00% | |
0.00083 | 0.00% | |
0.000313 | 0.00% | |
0.0007000 | 0.00% | |
0.00011 | 0.00% | |
0.00200 | 0.00% | |
0.0032 | 0.00% | |
0.3905 | 0.00% | |
0.000495 | 0.00% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00013699 | 0.00% | |
0.002563 | 0.00% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000700 | 0.00% | |
0.01030 | 0.00% | |
3.7449 | 0.00% | |
0.0422 | -3.21% | |
0.00070 | 0.00% | |
0.003000 | 0.00% | |
0.000310 | 0.00% | |
450.00 | 0.00% | |
0.0000269 | 0.00% | |
0.0000000500 | 0.00% | |
0.000602 | 0.00% | |
0.000000000129 | 0.00% | |
0.000426832 | 0.00% | |
0.000002400 | 0.00% | |
0.00002801 | 0.00% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.0000245 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.000510 | 0.00% | |
0.00218 | 0.00% | |
0.002100 | 0.00% | |
0.00170 | 0.00% | |
0.000055 | 0.00% | |
0.3101 | 0.00% | |
0.00074 | 0.00% | |
0.0000211 | 0.00% | |
0.00756 | 0.00% | |
0.4400 | 0.00% | |
1.4371 | 0.00% | |
0.00625 | 0.00% | |
0.6000 | 0.00% | |
0.250 | 0.00% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.02638 | 1.85% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02603 | -5.00% | |
0.4235 | -1.94% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
0.0091 | 0.00% | |
0.0301 | -4.44% | |
0.546 | 3.61% |