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 .
อภิธานศัพท์ยอดนิยม
การอ่านที่เกี่ยวข้อง
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0.0093 | -1.06% | |
0.00480 | 0.00% | |
0.0782 | -0.51% | |
0.021196 | -0.01% | |
0.001289 | -41.88% | |
0.008072 | -0.15% | |
0.3145 | -0.22% | |
0.853 | -6.47% | |
4.96 | -8.49% | |
0.00724 | -13.71% | |
0.00000000000010 | -33.33% | |
0.00007172 | -13.58% | |
17.875 | -1.14% | |
0.00003944 | -0.05% | |
0.00140 | 0.00% | |
0.4447 | -5.58% | |
0.0559 | -12.24% | |
0.18643 | -3.08% | |
0.001192 | -14.92% | |
0.000296 | 2.42% | |
0.0972 | -9.16% | |
0.00001210 | -2.81% | |
18.23 | -3.13% | |
2.6918 | -1.15% | |
0.7690 | 0.64% | |
0.0879 | -1.24% | |
0.000119 | 0.00% | |
0.0006502 | -30.82% | |
0.00002427 | 2.23% | |
0.05107 | -1.47% | |
0.09000 | 0.01% | |
0.4876 | 387.60% | |
0.03240 | -12.41% | |
0.513 | -7.73% | |
0.1130 | -0.53% | |
1.7638 | 0.05% | |
0.00287 | 1.77% | |
0.000777 | -5.70% | |
5.075 | -12.15% | |
0.005326 | -5.55% | |
0.007125 | 3.73% | |
0.006042 | -2.19% | |
0.00000007038 | -15.38% | |
0.3933 | -14.39% | |
252.9 | -4.39% | |
0.004702 | -21.62% | |
0.00058 | 9.43% | |
3.751 | -5.66% | |
0.000845 | -1.29% | |
0.06054 | -6.08% | |
0.01017 | -3.42% | |
0.3969 | -6.41% | |
0.002461 | -8.31% | |
0.065453 | -2.05% | |
0.01100 | -23.50% | |
0.0011163 | -8.66% | |
0.0000000396 | -14.47% | |
0.000000001497 | 0.00% | |
0.0852 | -6.78% | |
0.00239 | -2.45% | |
28.60 | -9.78% | |
1.1582 | -22.61% | |
0.00848 | -3.96% | |
19.1659 | -10.18% | |
0.04960 | -6.43% | |
2075.26 | -3.60% | |
0.000370 | -1.33% | |
1.0448 | -12.00% | |
0.3005 | -9.81% | |
0.005001 | 1.61% | |
0.2135 | -1.29% | |
0.002397 | -8.82% | |
0.0003177 | -6.89% | |
5.196 | -10.52% | |
11.56 | -6.70% | |
0.952 | -9.93% | |
0.04192 | -9.40% | |
0.0728 | 23.18% | |
0.002632 | -13.76% | |
0.03185 | -14.54% | |
0.002188 | 1.58% | |
0.005152 | 15.03% | |
0.829 | -8.60% | |
0.00343458 | -9.75% | |
0.000000486 | -14.74% | |
0.2010 | 24.38% | |
0.001454 | -10.91% | |
0.03481 | -7.42% | |
0.000382 | -2.05% | |
0.3507 | -1.29% | |
0.00003339 | -15.32% | |
0.0002394 | 6.97% | |
0.510 | -9.41% | |
6.88 | -9.47% | |
0.01469 | 0.20% | |
0.0002323 | -8.40% | |
1.1327 | -13.83% | |
0.02383 | -10.14% | |
6.08 | -2.09% | |
0.000705 | 0.14% | |
0.7004 | -6.85% | |
0.2342 | -49.88% | |
4.577 | -6.17% | |
0.564 | -8.89% | |
0.0006428 | -8.00% | |
0.001635 | -11.38% | |
0.01158 | -10.37% | |
6.406 | -6.62% | |
0.3530 | -8.24% | |
0.00000001885 | 35.81% | |
175.79 | -4.68% | |
0.1204 | -8.72% | |
6.787 | -6.31% | |
0.00006267 | -6.10% | |
0.00001967 | -23.25% | |
0.01294 | 3.27% | |
0.000820 | -6.07% | |
0.00125 | 4.17% | |
1427 | -1.04% | |
10.168 | 7.08% | |
0.00456 | -8.80% | |
0.2279 | -5.24% | |
0.01062 | -4.07% | |
0.0099 | 2.06% | |
0.01751 | -17.48% | |
0.1874 | 9.72% | |
0.000000000240 | -3.61% | |
0.003180 | -9.12% | |
0.3702 | -9.84% | |
0.0000175 | -26.47% | |
0.0609 | 1.50% | |
0.00600 | -65.14% | |
0.00571 | -9.65% | |
0.0000016872 | -0.52% | |
0.01363 | -5.81% | |
0.01132 | -11.56% | |
2.384 | -7.92% | |
0.0002365 | -17.94% | |
0.00000014955 | -7.54% | |
0.0004174 | -5.97% | |
0.1618 | -8.85% | |
0.0717 | -9.47% | |
0.0061 | -1.61% | |
9.65 | -7.92% | |
0.002871 | -15.83% | |
0.003218 | -9.99% | |
0.0005218 | -9.38% | |
1.6195 | 7.97% | |
0.001215 | -5.00% | |
0.013772 | 1.00% | |
0.011402 | -13.91% | |
0.0003916 | -11.36% | |
0.5158 | -6.54% | |
0.0444 | -7.31% | |
0.000002366 | 5.39% | |
0.05520 | -5.74% | |
1.903 | -5.70% | |
0.000095 | -14.41% | |
0.6866 | -2.90% | |
0.01853 | -10.40% | |
0.00182 | -50.41% | |
0.60240 | -7.57% | |
0.00000749 | -9.54% | |
0.000303 | -7.06% | |
0.2581 | -8.21% | |
0.01192 | -0.08% | |
18.52 | -3.99% | |
0.00002823 | -7.05% | |
0.0000000910 | -13.17% | |
0.1983 | -7.77% | |
0.85429 | 0.05% | |
0.2581 | -0.46% | |
0.0042 | 0.00% | |
0.1779 | -3.00% | |
0.01449 | -1.96% | |
0.00000001217 | -6.67% | |
0.000847 | -17.53% | |
0.5498 | -8.52% | |
0.002879 | -0.35% | |
0.003603 | -6.80% | |
0.00848 | -14.60% | |
0.863 | -6.80% | |
0.03752 | -2.92% | |
0.03773 | -16.42% | |
0.0004875 | -7.78% | |
0.000816 | -0.49% | |
0.0860 | -9.19% | |
155.07 | -8.17% | |
0.02810 | -9.96% | |
0.3681 | -5.06% | |
0.002345 | -15.19% | |
0.001744 | -5.83% | |
0.01965 | 5.08% | |
0.002452 | -7.33% | |
0.1156 | -5.79% | |
0.013000 | 4.84% | |
0.000200 | -7.83% | |
0.001881 | -26.81% | |
7.09 | -5.59% | |
0.6816 | -9.02% | |
0.3427 | -9.48% | |
0.04247 | 4.89% | |
0.00000000009677 | -7.91% | |
0.00876 | -1.35% | |
0.0000020 | 17.65% | |
0.005190 | -0.61% | |
0.0361 | -10.20% | |
0.1384 | -8.04% | |
0.2849 | -4.68% | |
0.0000578 | -4.46% | |
0.000920 | -31.34% | |
0.0236 | 1.29% | |
0.338 | -7.90% | |
21.83 | -9.98% | |
0.000000000001803 | 0.17% | |
0.0951 | -12.27% | |
0.12258 | -10.51% | |
0.0029 | 11.54% | |
0.0100 | -13.79% | |
2.7739 | -8.17% | |
0.7080 | -3.11% | |
0.0002664 | -7.44% | |
0.004331 | -12.01% | |
0.5817 | 0.35% | |
0.0527 | -6.23% | |
0.02056 | -7.26% | |
1.809 | -19.28% | |
0.004597 | 36.01% | |
2.180 | -2.20% | |
6.3775 | -4.08% | |
0.0000000639 | -2.89% | |
0.639 | -7.93% | |
0.254 | -9.93% | |
0.002752 | -5.33% | |
0.05557 | -5.65% | |
0.0000000001931 | -9.04% | |
0.005903 | -4.93% | |
0.06073 | -3.56% | |
0.000537 | -11.68% | |
0.0000002684 | -9.99% | |
0.5029 | -2.92% | |
72.92 | -10.89% | |
0.07130 | -22.54% | |
0.011991 | -0.03% | |
0.03444 | -12.57% | |
0.001894 | -9.29% | |
0.00011269 | 6.21% | |
0.000352 | -9.04% | |
2.062 | -7.49% | |
0.0000480 | -5.14% | |
0.0506 | -10.92% | |
0.00081 | -32.50% | |
3274.96 | 6.89% | |
0.0799 | 109.16% | |
0.002571 | -1.53% | |
0.00660 | -4.90% | |
0.018952 | -5.07% | |
0.0318 | -6.74% | |
0.00009359 | -8.47% | |
0.0317 | -11.70% | |
6.1046 | -8.10% | |
0.1150 | 6.58% | |
16.87 | -6.43% | |
0.590 | -5.60% | |
0.0666 | -11.67% | |
0.00000001323 | 1.85% | |
0.001858 | -28.87% | |
0.00004512 | -11.30% | |
0.1306 | -8.61% | |
0.604 | -9.85% | |
0.00000423 | -3.86% | |
0.002660 | 14.26% | |
0.01252 | -22.57% | |
0.0778 | -4.31% | |
0.001005 | -3.74% | |
0.0646 | -3.29% | |
0.02546 | -0.12% | |
0.04847 | -10.62% | |
0.00092 | -8.00% | |
0.1504 | -7.22% | |
0.2621 | -6.59% | |
0.0095 | -5.94% | |
0.0140 | 23.89% | |
0.7620 | -0.04% | |
0.2244 | -15.32% | |
0.000000095 | -10.38% | |
0.000825 | -13.88% | |
0.00146 | -2.01% | |
17.24 | -5.17% | |
0.5791 | -10.66% | |
0.05435 | -7.17% | |
0.2859 | -8.16% | |
0.0000193 | -17.87% | |
0.00999 | -8.10% | |
0.0957 | 0.31% | |
0.0003220 | 0.00% | |
0.001185 | -6.10% | |
0.0002031 | 32.57% | |
0.00000028980 | 272.35% | |
0.0653 | -6.58% | |
0.2675 | -6.73% | |
0.7129 | -6.86% | |
0.011455 | -8.23% | |
0.001088 | -10.08% | |
0.04875 | -8.31% | |
0.003637 | -7.03% | |
0.005938 | -7.02% | |
23.137 | -2.38% | |
0.001651 | -9.98% | |
0.000957 | -16.05% | |
0.04222 | -3.39% | |
0.003057 | -13.05% | |
0.0000091 | 8.33% | |
0.000001584 | -1.86% | |
0.00236 | -10.94% | |
2.714 | -8.22% | |
0.0051057 | 0.05% | |
0.05408 | -10.92% | |
0.004972 | -2.70% | |
0.001731 | -6.03% | |
0.003231 | -16.08% | |
0.01588 | -11.53% | |
0.000291 | 4.68% | |
0.002700 | -6.44% | |
0.588 | -10.23% | |
0.0139 | -16.77% | |
0.00002089 | -8.22% | |
0.002966 | -20.14% | |
0.01706 | -7.08% | |
0.00841 | -19.29% | |
0.000000000768 | 15.84% | |
17.02 | -9.13% | |
0.002280 | -12.48% | |
0.000174 | -7.45% | |
0.1447 | -1.63% | |
0.25985 | -3.79% | |
0.0931 | -9.61% | |
0.003729 | -1.30% | |
0.01510 | -10.12% | |
0.000828 | -0.96% | |
0.0006196 | -8.44% | |
0.5235 | 0.19% | |
0.02383 | -4.07% | |
0.00013956 | -17.63% | |
0.0009 | 0.00% | |
0.005425 | -12.44% | |
0.0244 | -10.29% | |
0.3904 | -6.45% | |
0.2034 | -5.61% | |
0.1911 | -0.52% | |
3.187 | -7.25% | |
0.0023 | -8.00% | |
0.0053 | -14.52% | |
0.0000504 | 1.20% | |
0.00210 | -3.67% | |
0.01626 | -0.73% | |
0.000203037 | -3.22% | |
0.0006355 | -11.38% | |
0.0407 | -5.13% | |
0.01873 | -5.69% | |
0.0006158 | -6.92% | |
0.1327 | -8.86% | |
0.8340 | -1.69% | |
0.0000000761 | -5.70% | |
0.0467 | -6.04% | |
0.2611 | -22.80% | |
0.001001 | -4.76% | |
0.741 | -5.48% | |
0.0173 | -12.18% | |
0.440 | -11.11% | |
0.3624 | -7.36% | |
0.719 | -9.33% | |
0.0004242 | -0.49% | |
0.000098 | 3.16% | |
0.0000700 | 1.30% | |
1.148 | -8.53% | |
0.0345 | -8.00% | |
0.633 | -8.79% | |
0.1866 | -5.85% | |
0.00002393 | -4.78% | |
0.01646 | -10.59% | |
0.00275 | 14.58% | |
0.6999 | 1.88% | |
8.57 | -4.57% | |
0.000091 | 1.11% | |
0.00000000000096 | 5.49% | |
0.0183 | 0.55% | |
0.0099 | 0.00% | |
0.0007440 | -21.68% | |
0.003228 | -6.05% | |
0.972 | -6.18% | |
0.1083 | -2.61% | |
0.0321 | -10.83% | |
0.2168 | -3.90% | |
0.0004028 | -7.38% | |
0.003984 | -5.37% | |
0.0826 | -7.92% | |
0.00752 | -13.36% | |
7.30 | -9.88% | |
1.050 | -4.63% | |
0.00000000142 | 32.71% | |
0.5030 | -4.43% | |
1.5395 | -7.04% | |
1.559 | -6.53% | |
0.0000000150 | -15.25% | |
0.0632 | -6.09% | |
0.00607 | -1.62% | |
0.01353 | -12.71% | |
0.0570 | 1.79% | |
0.001845 | -14.11% | |
17.06 | -6.67% | |
0.000001538 | -6.50% | |
0.000000000418 | -0.48% | |
1.279 | -9.74% | |
0.3010 | -6.70% | |
0.0006843 | -9.48% | |
0.05199 | 5.71% | |
0.002475 | 0.08% | |
0.1266 | -9.83% | |
0.0600 | 2.04% | |
0.0000224 | -77.56% | |
0.0454 | -10.63% | |
0.00000003442 | -9.01% | |
0.0000086 | 2.38% | |
0.1189 | -8.96% | |
13.42 | -7.70% | |
0.1389 | -9.22% | |
0.00196 | -10.91% | |
0.000024 | 14.29% | |
0.001403 | -10.01% | |
1.4260 | -7.05% | |
0.692 | -5.34% | |
72.8 | -5.82% | |
0.002893 | -0.17% | |
0.0947 | -8.94% | |
0.0110 | -9.09% | |
0.1030 | -7.87% | |
0.0003698 | -31.68% | |
0.0112 | 0.00% | |
0.02872 | 8.30% | |
0.07180 | -8.78% | |
0.0006079 | -5.90% | |
0.003963 | -0.35% | |
0.00000015670 | -55.23% | |
0.000042 | 2.44% | |
0.1277 | -3.62% | |
0.1195 | -7.22% | |
0.0001598 | 3.56% | |
0.0096 | -12.73% | |
0.006832 | -2.78% | |
0.004085 | -4.53% | |
0.0643 | -8.27% | |
0.003580 | -0.33% | |
1.295 | -3.86% | |
0.0000000000000148 | -7.50% | |
0.01687 | -10.07% | |
0.000000516 | -0.39% | |
0.00000721 | 1.98% | |
1.400 | -8.62% | |
0.1063 | -7.97% | |
0.0844 | -6.74% | |
0.0859 | -9.00% | |
0.475 | -12.04% | |
0.0000002201 | 2.04% | |
0.02944 | -6.06% | |
0.004666 | -0.64% | |
0.00000831 | -10.26% | |
0.004025 | 0.00% | |
0.0538 | -7.56% | |
0.000000002136 | 3.39% | |
0.0000046 | 64.29% | |
0.10119 | -10.66% | |
0.0004242 | -5.88% | |
0.003249 | 3.74% | |
0.003018 | 3.04% | |
0.000000000069 | 130.00% | |
0.0003253 | -15.20% | |
0.01275 | -9.89% | |
0.0555 | -1.94% | |
0.00858 | -3.60% | |
0.00002 | -33.33% | |
0.0003905 | -6.31% | |
0.000000000003901 | 1.54% | |
0.0021488 | -3.84% | |
0.01081 | -5.26% | |
0.000667 | -9.25% | |
0.9105 | -3.07% | |
0.2662 | -7.28% | |
0.750 | 0.00% | |
0.02020 | -10.10% | |
0.07887 | -1.95% | |
0.00000000000212 | 0.00% | |
0.1215 | -6.68% | |
0.006700 | -4.29% | |
0.000704 | 36.96% | |
0.02966 | -18.72% | |
0.2091 | -5.30% | |
0.3535 | -6.63% | |
0.004000 | -33.33% | |
0.00821 | -7.75% | |
0.0793 | -3.17% | |
0.0928 | -9.73% | |
0.0833 | -12.87% | |
0.00000000000014 | 0.00% | |
0.00000000000018 | -21.74% | |
0.001977 | -3.80% | |
0.0082 | -7.87% | |
0.000427 | 0.00% | |
0.000012 | 33.33% | |
0.0783 | -10.10% | |
0.0000503 | -37.90% | |
0.003625 | -6.52% | |
0.000602 | -39.56% | |
0.00993 | -5.43% | |
0.1749 | -9.38% | |
0.1090 | -3.54% | |
0.2025 | -6.12% | |
0.01313 | -10.98% | |
0.000060 | -13.04% | |
6.005 | -7.47% | |
0.000350 | 0.57% | |
0.00003075 | -24.80% | |
0.1569 | -7.98% | |
0.00385 | 1.32% | |
0.00000000001518 | -10.92% | |
0.5400 | -3.90% | |
0.01218 | -7.80% | |
0.0000625 | -8.76% | |
0.1724 | -9.60% | |
0.0648 | -19.90% | |
0.0000099 | 10.00% | |
0.1379 | -5.35% | |
0.4180 | -9.07% | |
0.001120 | -3.45% | |
0.00000382 | -3.78% | |
0.01188 | -8.33% | |
0.0000005 | -50.00% | |
0.03607 | -7.77% | |
0.01379 | -6.13% | |
0.004415 | -14.69% | |
0.000000000005 | 25.00% | |
0.004183 | -2.95% | |
0.0000119 | 0.00% | |
0.4820 | 0.00% | |
31.0000 | 24.00% | |
2.171 | -5.24% | |
0.00004544 | -11.18% | |
0.002000 | -0.65% | |
0.00731 | 0.83% | |
0.000816 | -17.66% | |
0.008304 | 3.80% | |
0.0098 | -1.01% | |
0.0708 | -8.88% | |
1.362 | -10.28% | |
0.003643 | -17.34% | |
0.000121 | -52.92% | |
0.016675 | -8.30% | |
0.00008 | -11.11% | |
0.00008969 | -0.31% | |
0.001082 | -7.91% | |
0.2083 | 0.29% | |
0.002295 | -6.75% | |
0.000024 | -4.00% | |
0.000002400 | -25.47% | |
0.008234 | 0.04% | |
0.00004 | 0.00% | |
0.001019 | -10.38% | |
0.001937 | -18.51% | |
0.00023 | -14.81% | |
0.05804 | 0.00% | |
19.0012 | -1.27% | |
0.00170 | -22.73% | |
0.02932 | -2.59% | |
0.0003 | -40.00% | |
0.404 | -4.94% | |
0.00000011 | 0.00% | |
1.313 | -7.40% | |
0.000000000117 | 0.86% | |
0.2180 | -2.50% | |
0.00000298 | -5.70% | |
0.000037 | -35.09% | |
0.000000001754 | -4.36% | |
0.00011 | 0.00% | |
0.00005 | 66.67% | |
49.091 | -2.25% | |
14.12 | -7.65% | |
0.01198 | -7.13% | |
0.0000007 | -30.00% | |
0.000059 | 5.36% | |
0.00035 | 0.00% | |
0.001319 | -14.68% | |
0.1882 | -10.42% | |
0.2348 | -10.89% | |
0.4719 | -6.74% | |
0.0538 | -12.09% | |
0.001255 | -13.80% | |
0.02638 | -7.15% | |
0.000020 | -9.09% | |
0.000002051 | -26.62% | |
0.0000211 | -29.90% | |
0.00000053 | 0.00% | |
2.293 | -4.18% | |
0.0006058 | -15.51% | |
0.0440 | -8.52% | |
0.000535 | 8.08% | |
0.0001702 | 21.40% | |
8.9431 | -0.02% | |
0.004343 | 2.07% | |
0.0557 | -5.75% | |
0.000007 | 40.00% | |
0.000000000017 | 0.00% | |
0.0414 | -5.91% | |
0.02982 | -12.73% | |
0.00454 | -1.52% | |
0.00000000015708 | -28.36% | |
0.000026 | -13.33% | |
0.003101 | -9.83% | |
0.00000000000040 | 5.26% | |
0.0000000493 | -4.46% | |
0.01853 | -9.52% | |
0.002339 | -9.66% | |
0.0000000030210 | 0.02% | |
0.00006 | 20.00% | |
0.002563 | 0.00% | |
0.00000000000284 | -1.39% | |
0.000092 | 0.00% | |
0.0000442 | 0.00% | |
0.0000100 | 0.00% | |
0.0116 | 0.87% | |
0.002499 | -10.97% | |
0.03786 | 1.09% | |
0.00000000000102 | -10.53% | |
0.7993 | -3.79% | |
0.000100 | -50.25% | |
0.1402 | -4.30% | |
2.775 | -8.14% | |
0.002549 | -9.80% | |
0.00000000001605 | -0.06% | |
2.45 | -5.77% | |
0.00000000003523 | 1.21% | |
0.001992 | 1.27% | |
0.1608 | -7.11% | |
0.00000000001155 | 3.40% | |
0.00000000001935 | -35.71% | |
0.00022 | -18.52% | |
0.0000000000000171 | -0.58% | |
0.0731 | -11.07% | |
0.03430 | -0.72% | |
0.00000000000347 | -11.25% | |
0.00006 | -14.29% | |
0.000119 | 8.18% | |
0.000000002449 | 4.75% | |
3.05 | -10.29% | |
0.0027 | 0.00% | |
0.001171 | -21.93% | |
0.0000000045 | 15.38% | |
0.0014 | 0.00% | |
0.0107 | 48.61% | |
0.000000041 | 7.89% | |
0.0003 | 0.00% | |
0.000632 | 1.94% | |
0.0000055 | -9.84% | |
0.0000045 | 18.42% | |
0.00004398 | 29.39% | |
0.1967 | -7.30% | |
1.1723 | -9.06% | |
0.01585 | -6.05% | |
0.09783 | -8.05% | |
0.1309 | -5.21% | |
0.00764 | -4.14% | |
0.03310 | -10.95% | |
0.00013 | 0.00% | |
0.0000649 | -0.61% | |
0.002028 | -2.97% | |
0.2315 | -13.46% | |
58.5600 | 0.00% | |
0.0001450 | -5.91% | |
0.001637 | -5.76% | |
0.0005110 | -9.49% | |
0.0883 | -10.26% | |
0.003748 | -16.26% | |
0.0009012 | 0.00% | |
0.00600 | 0.00% | |
0.0007993 | 0.00% | |
6.172 | 1.30% | |
0.0000329 | 0.00% | |
0.04819 | -5.36% | |
0.2300 | 4.26% | |
0.0000670 | -0.74% | |
0.000025 | 0.00% | |
0.0012 | 0.00% | |
1899.00 | 0.00% | |
0.1057 | -16.90% | |
0.1385 | -11.10% | |
0.788 | -13.31% | |
0.001092 | -9.38% | |
0.5621 | -8.38% | |
0.001235 | -7.42% | |
0.02899 | -2.59% | |
0.00382 | -7.73% | |
0.0350 | -10.94% | |
0.00988 | -11.07% | |
2.5129 | 0.00% | |
1.000000 | 0.00% | |
0.1813 | -5.52% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.000000000000815 | -10.04% | |
1.824 | -3.44% | |
0.0532 | -6.01% | |
2.987 | -4.84% | |
0.000000100 | 0.00% | |
0.0001030 | 0.00% | |
0.1413 | -8.31% | |
0.00545 | -1.09% | |
0.00103 | 0.00% | |
0.670 | -8.97% | |
0.6775 | -3.38% | |
0.0700 | 0.00% | |
0.0847 | -7.53% | |
0.001143 | -0.78% | |
0.00000087 | 0.00% | |
0.1392 | -8.18% | |
0.01868 | -1.27% | |
0.000216 | 0.00% | |
0.00000000000651 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
1.1371 | 0.00% | |
0.000080 | 2.56% | |
0.4424 | 0.00% | |
0.000394 | 0.77% | |
0.0071 | 0.00% | |
0.01628 | -3.15% | |
0.000210 | 0.00% | |
0.0717 | -7.24% | |
0.1039 | -6.82% | |
0.0248 | -7.46% | |
0.0442 | -5.56% | |
0.2976 | -10.33% | |
0.000452 | 0.00% | |
0.0272 | 0.00% | |
0.230000 | 0.00% | |
0.000190523 | 2.49% | |
0.00000042 | 0.00% | |
0.1204 | 0.00% | |
2.624 | -1.58% | |
0.000300 | 0.00% | |
0.00007 | 0.00% | |
0.00035 | 0.00% | |
0.0005 | 0.00% | |
0.00033 | 0.00% | |
0.011926 | 0.00% | |
0.000011 | 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% | |
0.00030000 | 0.00% | |
0.00005 | 0.00% | |
0.00006187 | 0.00% | |
0.000122 | 0.00% | |
0.001405 | 0.00% | |
0.2465 | -0.08% | |
0.000902 | 0.00% | |
0.0258 | -0.77% | |
0.000000000796 | 0.76% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00009300 | 0.00% | |
0.000448 | 0.67% | |
0.00000000054 | -6.90% | |
9.798 | 0.47% | |
0.000000000533 | 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% | |
0.00001626 | 0.00% | |
0.000000000375 | 0.00% | |
0.000000008400 | 0.00% | |
0.0063 | -3.08% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.9900 | 0.00% | |
0.0057 | 0.00% | |
0.000405 | 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% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.00001 | 0.00% | |
0.000118 | 0.00% | |
0.0010 | 0.00% | |
0.0000240 | -0.41% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.00005458 | 0.00% | |
0.00280 | 0.00% | |
0.001263 | 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% | |
0.00007 | 0.00% | |
0.000028 | 0.00% | |
0.000033 | 0.00% | |
0.001234 | 0.00% | |
0.000449 | 0.00% | |
0.0066 | 0.00% | |
0.0007 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.0066 | 0.00% | |
0.020562 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.000808 | 0.00% | |
0.001200 | 0.00% | |
0.001050 | 0.00% | |
0.000650 | 0.00% | |
0.000383 | 0.00% | |
0.00006107 | 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% | |
0.001790 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.001801 | 0.00% | |
0.000640 | 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% | |
0.0072 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
0.0013 | 0.00% | |
0.1078 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.000410 | 0.00% | |
0.001650 | 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% | |
0.0000000192 | -4.48% | |
0.0005 | 0.00% | |
0.000257 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.020099 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.0060 | 0.00% | |
0.0700 | 0.00% | |
8.4900 | 0.00% | |
1.76670591 | 0.00% | |
0.0024 | 0.00% | |
0.0048 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.0001 | 0.00% | |
0.6700 | 0.00% | |
0.000835 | 0.00% | |
0.0102 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.00296 | 0.00% | |
0.0650 | 0.00% | |
0.3515 | 0.00% | |
0.00125 | 0.00% | |
0.000446 | 0.00% | |
0.4900 | 0.00% | |
0.000062 | 0.00% | |
1.0100 | 0.00% | |
0.5000 | 0.00% | |
0.010100 | 0.00% | |
0.0069 | 0.00% | |
0.88686 | 0.00% | |
0.00077 | 0.00% | |
0.00113 | 0.00% | |
0.04024 | 0.00% | |
0.05578 | 0.00% | |
1.1760 | 0.00% | |
0.000561 | 0.00% | |
0.00774 | 0.00% | |
0.1725 | 0.00% | |
0.01463 | 0.00% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.000001624 | 0.00% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
100.71 | 0.00% | |
0.0000008 | 0.00% | |
1.3161 | -0.79% | |
0.00390 | 0.00% | |
0.0000310 | 0.00% | |
0.0000325 | 0.00% | |
0.00000326 | 0.00% | |
1.0000 | 0.00% | |
0.00455 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.0005 | 0.00% | |
0.00146 | 0.00% | |
0.00032 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.0000023 | 0.00% | |
0.000000005 | 0.00% | |
0.001987 | 0.00% | |
0.00083 | 0.00% | |
0.000313 | 0.00% | |
0.0000029 | 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% | |
0.00049 | 0.00% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00017800 | 0.00% | |
0.0000302 | -10.12% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000000000009 | 0.00% | |
0.000700 | 0.00% | |
0.01030 | 0.00% | |
0.00240 | 0.00% | |
0.00070 | 0.00% | |
0.003000 | 0.00% | |
0.000310 | 0.00% | |
450.00 | 0.00% | |
0.0000269 | 0.00% | |
0.0000138 | 0.00% | |
0.0000000500 | 0.00% | |
0.0000001300 | 0.00% | |
0.000650 | 8.33% | |
0.7997 | 0.00% | |
0.000000000129 | 0.00% | |
0.000426832 | 0.00% | |
0.00002805 | 0.00% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.00649 | 0.46% | |
0.0000245 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.000510 | 0.00% | |
0.00218 | 0.00% | |
0.002100 | 0.00% | |
0.000055 | 0.00% | |
0.3101 | 0.00% | |
0.00756 | 0.00% | |
0.4400 | 0.00% | |
1.4371 | 0.00% | |
0.0002201 | 0.00% | |
0.000196 | 1.03% | |
0.0000266 | 0.00% | |
0.00625 | 0.00% | |
0.0000002725 | 0.00% | |
0.250 | 0.00% | |
0.3540 | -8.15% | |
0.805 | -2.90% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.01318 | 0.00% | |
0.000000000759 | 2.29% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02734 | -7.42% | |
0.4356 | -1.69% | |
0.329 | -10.35% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
1.392 | -7.32% | |
0.0091 | 0.00% | |
0.531 | 2.51% |