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 .
Beliebte Glossare
Verwandte Lesungen
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0.0017643 | 6.78% | |
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3109 | 0.88% | |
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2.586 | -6.30% | |
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0.000006293 | 0.10% | |
0.0000000345 | -1.71% | |
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0.000003726 | 13.56% | |
0.006551 | 17.02% | |
0.00001225 | -23.34% | |
38.8800 | 25.42% | |
0.01582 | -10.92% | |
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0.002452 | 2.51% | |
0.0000581 | 6.41% | |
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0.00000068 | -1.45% | |
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0.00018412 | 0.44% | |
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0.01670 | 0.00% | |
11.6124 | 0.76% | |
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0.0000760 | 0.26% | |
1.6871 | 0.17% | |
0.0001100 | -17.17% | |
0.0000000030 | -3.23% | |
0.00000000000001 | -66.67% | |
0.0017 | 0.00% | |
0.00003050 | 9.83% | |
0.000054 | 1.89% | |
34.1494 | 0.20% | |
0.002164 | 3.15% | |
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0.06462 | -7.74% | |
0.002266 | -0.57% | |
1.251 | 6.29% | |
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0.002520 | 10.67% | |
0.00045280 | -13.99% | |
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0.00083000 | 1.09% | |
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0.0000000051 | 13.33% | |
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1.990 | 0.61% | |
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0.40000 | -32.20% | |
0.000130 | 0.00% | |
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0.00005840 | -8.38% | |
0.0000395 | -5.05% | |
0.09382 | -1.90% | |
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172.59 | 0.91% | |
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1.9900 | -20.36% | |
0.04166 | -5.94% | |
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0.00000613 | 1.16% | |
0.00690 | -11.76% | |
0.0000846 | 0.12% | |
0.009741 | 6.42% | |
0.02149 | 12.10% | |
0.01565 | -20.15% | |
0.2826 | -1.26% | |
3.7500 | 5.27% | |
0.00002440 | -0.53% | |
0.000000419 | -13.61% | |
0.005682 | 5.20% | |
3.231 | -8.34% | |
0.0278 | -12.85% | |
0.001050 | -0.19% | |
0.04566 | -13.36% | |
0.0311 | -0.64% | |
0.0022 | -12.00% | |
0.9981 | 0.31% | |
0.3227 | -4.70% | |
211.501 | -0.94% | |
0.1295 | -8.22% | |
225.7 | -10.19% | |
0.849 | -5.35% | |
0.002500 | 8.89% | |
0.000177 | -1.67% | |
0.4542 | -1.73% | |
0.4870 | -5.57% | |
0.00719 | 1.99% | |
0.433 | -7.08% | |
0.000000047033 | 2.09% | |
0.00580001 | 0.00% | |
0.00237 | -5.20% | |
0.0204 | 0.00% | |
0.000382 | -5.21% | |
0.01548 | -8.02% | |
0.13504 | 3.14% | |
0.001795 | 121.06% | |
29.2050 | -53.64% | |
0.0797 | -5.57% | |
0.6117 | -7.95% | |
0.000001323 | -1.71% | |
0.000510 | 0.20% | |
0.0000882 | 76.05% | |
0.0126439 | 1.47% | |
0.16964 | -7.06% | |
0.5116 | -34.11% | |
0.015759 | -4.81% | |
0.2435 | -0.69% | |
0.005230 | -7.17% | |
0.05087 | -10.46% | |
0.00900 | -19.21% | |
0.3985 | -2.73% | |
0.00000347 | 4.20% | |
0.00003945 | 0.05% | |
0.0008739 | -15.09% | |
0.00766 | 1.86% | |
0.004912 | -1.84% | |
5.0886 | -14.36% | |
2.778 | -2.11% | |
0.000136 | -12.82% | |
0.03130 | -3.42% | |
0.00000006412 | -7.82% | |
8.954 | -7.68% | |
0.03206 | -6.83% | |
0.0016 | 6.67% | |
0.00054 | -6.90% | |
0.00502 | 4.80% | |
0.0605 | -4.12% | |
0.03068 | 1.49% | |
0.8682 | -3.81% | |
0.01019 | 4.19% | |
0.0550 | -37.43% | |
0.00014378 | 3.87% | |
0.006241 | 3.23% | |
0.07100 | -21.55% | |
12.89 | -6.25% | |
3.583 | -3.21% | |
0.00257 | 41.21% | |
0.00004834 | -10.38% | |
0.1540 | -4.76% | |
0.3152 | -0.32% | |
0.00528 | -4.35% | |
0.00518 | 1.77% | |
0.03206 | -2.14% | |
0.01117 | 50.34% | |
0.00625 | 2.97% | |
0.1866 | -9.51% | |
0.00140 | 0.72% | |
0.00361 | -10.86% | |
0.0085 | -4.49% | |
0.00450 | 0.00% | |
0.0008830 | -3.71% | |
0.00152 | -5.00% | |
1.415 | 5.20% | |
0.0598 | -4.01% | |
0.02204 | 15.94% | |
0.509 | -7.12% | |
0.000119 | 0.00% | |
0.00280 | -5.08% | |
0.008093 | 0.04% | |
0.477 | -6.29% | |
0.2671 | -2.55% | |
0.00039235 | 0.13% | |
0.000853 | 0.95% | |
0.01520 | -6.63% | |
6.27 | -12.55% | |
0.1614 | -11.32% | |
0.02048 | -6.95% | |
0.1894 | -5.82% | |
0.1600 | -3.03% | |
0.1136 | 0.09% | |
0.5800 | 28.43% | |
1.7628 | -0.09% | |
0.01042 | -23.33% | |
0.002718 | -10.89% | |
0.00724 | 0.00% | |
2.7181 | 1.45% | |
0.013842 | -0.57% | |
3104.83 | 0.93% | |
0.0000430 | -16.99% | |
0.00580 | -10.49% | |
0.002512 | -10.99% | |
0.00210 | -4.11% | |
18.2750 | -3.01% | |
0.9267 | -10.43% | |
0.0000000001892 | -2.47% | |
0.004097 | -8.39% | |
0.01618 | -7.38% | |
0.00006723 | -0.36% | |
0.000000441 | -13.19% | |
0.000360 | -3.23% | |
0.00005953 | -4.25% | |
0.004997 | 0.40% | |
0.1842 | -8.40% | |
0.6867 | 1.25% | |
0.008000 | 12.76% | |
7.8536 | -5.90% | |
0.013674 | 0.14% | |
0.1723 | -6.10% | |
0.00001154 | -4.63% | |
0.01105 | -4.49% | |
0.5764 | -5.55% | |
0.05834 | 3.18% | |
0.000203037 | 1.61% | |
0.00912 | -2.67% | |
0.4638 | -7.99% | |
0.000384 | -0.78% | |
0.00176 | -8.81% | |
2.634 | -8.32% | |
0.002754 | 9.11% | |
0.003991 | 2.60% | |
0.0004372 | 3.68% | |
0.0001979 | -9.84% | |
1.034 | -16.88% | |
0.0516 | -6.01% | |
0.005380 | -34.56% | |
0.00319860 | -6.23% | |
0.018676 | 24.51% | |
0.063112 | -1.69% | |
0.007782 | 4.91% | |
0.000840 | 6.06% | |
0.01469 | 0.27% | |
0.06645 | 4.91% | |
0.1727 | -5.89% | |
0.0029998 | -0.60% | |
0.0000137 | -16.46% | |
2.412 | -14.04% | |
0.002228 | 90.26% | |
0.8601 | -3.41% | |
0.002528 | 36.43% | |
0.000752 | 6.82% | |
0.753 | -9.17% | |
0.002048 | 2.40% | |
0.001507 | -4.92% | |
0.0120 | 4.35% | |
0.05575 | -3.95% | |
14.60 | -16.57% | |
1.0755 | -3.13% | |
0.3612 | -5.35% | |
0.0315 | -7.89% | |
0.0041 | -2.38% | |
0.310 | -6.91% | |
0.000291 | -12.61% | |
0.00456 | 0.88% | |
0.00001491 | -15.72% | |
0.00209 | -7.52% | |
0.015501 | -0.42% | |
0.00840 | -4.33% | |
0.002939 | -4.86% | |
0.00000014070 | -5.35% | |
7.31 | -3.82% | |
0.006474 | -5.91% | |
0.0669 | -5.11% | |
0.22024 | -13.30% | |
0.000296 | -1.99% | |
0.6453 | -6.21% | |
0.01147 | -4.34% | |
0.01695 | -2.42% | |
0.02689 | -8.85% | |
0.410 | -3.76% | |
0.004199 | 18.12% | |
0.01203 | -4.60% | |
0.776 | -7.29% | |
0.0112 | -50.66% | |
0.01245 | 4.53% | |
0.0000237 | -2.47% | |
0.004845 | -9.37% | |
0.000000000237 | -0.42% | |
0.002304 | -8.32% | |
0.003891 | 19.98% | |
0.000224 | 7.69% | |
0.0002947 | -7.62% | |
0.001811 | -1.52% | |
16.69 | -2.11% | |
0.001647 | -9.11% | |
0.7494 | -22.37% | |
0.556 | -3.81% | |
0.00782 | -13.11% | |
0.478 | -5.16% | |
0.003438 | -3.24% | |
0.2022 | -9.16% | |
0.0000000405 | 11.88% | |
0.3678 | -8.92% | |
0.0000016701 | 0.44% | |
0.0481 | -2.63% | |
0.882 | -4.75% | |
0.0056 | 55.56% | |
0.00101 | -30.82% | |
0.00000003313 | -4.28% | |
0.85032 | -0.47% | |
0.000508 | -2.50% | |
0.001580 | -10.43% | |
0.001616 | -5.66% | |
0.3470 | 1.55% | |
0.0006031 | -1.21% | |
0.0418 | -4.57% | |
0.002024 | -3.62% | |
0.1664 | -5.35% | |
1981.78 | -2.80% | |
0.00003327 | -1.97% | |
0.0062 | 1.64% | |
0.1230 | -6.32% | |
0.0001807 | -23.07% | |
0.00155 | -8.28% | |
0.0003132 | -22.95% | |
17.69 | 5.23% | |
0.000523 | -27.56% | |
27.27 | -2.99% | |
0.001173 | -13.05% | |
5.290 | -2.56% | |
0.4124 | -3.82% | |
0.00000001196 | 0.34% | |
2.522 | -5.86% | |
4.734 | -6.05% | |
0.04783 | -7.23% | |
0.0257 | -4.10% | |
0.00233 | -2.92% | |
0.00000419 | -4.99% | |
0.03563 | -2.94% | |
0.3000 | -17.81% | |
0.2709 | -4.04% | |
0.0902 | -5.75% | |
0.07633 | -6.26% | |
0.1935 | -1.53% | |
0.01374 | -8.95% | |
0.000093 | -3.13% | |
0.0000550 | -2.31% | |
0.0000000906 | -0.55% | |
0.03696 | -11.03% | |
0.55328 | -5.40% | |
0.0002039 | -11.27% | |
0.03230 | -0.22% | |
0.001698 | -13.15% | |
0.031122 | 5.08% | |
0.01103 | 5.65% | |
0.0000002925 | 7.34% | |
0.01476 | -9.23% | |
0.0002474 | -7.27% | |
0.6624 | -5.60% | |
0.001316 | 13.35% | |
0.02289 | -5.72% | |
1.6978 | 8.62% | |
0.0733 | -4.68% | |
0.003907 | -3.48% | |
0.01814 | -1.79% | |
0.10779 | -8.72% | |
0.011987 | 0.01% | |
0.0007279 | 11.40% | |
0.0151 | -4.43% | |
1.740 | -7.00% | |
0.0862 | -5.48% | |
1.966 | -3.91% | |
0.1437 | -6.57% | |
0.2443 | -7.18% | |
0.000904 | -14.07% | |
0.01227 | -5.98% | |
0.448 | -4.27% | |
0.783 | -6.34% | |
0.2487 | -5.58% | |
0.0000464 | -3.33% | |
2.175 | -0.50% | |
0.00600 | -7.69% | |
0.02662 | -3.86% | |
0.1217 | -7.80% | |
0.1955 | -17.09% | |
0.592 | -6.48% | |
0.2460 | -3.11% | |
0.239 | -5.16% | |
0.00000000008446 | -11.75% | |
0.000259 | 28.22% | |
0.0207 | -11.16% | |
0.005978 | 3.23% | |
0.0000002628 | 2.22% | |
0.01883 | -10.46% | |
0.00000001640 | -2.44% | |
0.0615 | -5.96% | |
0.03367 | -8.06% | |
0.3132 | -14.61% | |
0.0157 | -8.19% | |
6.39 | -5.33% | |
0.02290 | -2.39% | |
0.0004081 | -18.46% | |
0.2686 | -4.55% | |
0.001134 | -3.57% | |
0.003058 | 4.44% | |
0.00932 | -4.61% | |
0.01395 | -11.15% | |
0.003941 | -0.53% | |
0.002953 | -14.36% | |
15.95 | -4.32% | |
0.01336 | -2.55% | |
0.004598 | -5.86% | |
0.538 | -7.72% | |
0.0645 | -1.38% | |
0.1046 | -7.76% | |
0.0000000000000141 | -3.42% | |
0.000001495 | -2.10% | |
306.1 | -0.81% | |
0.0003477 | -6.13% | |
0.1062 | -7.17% | |
0.2986 | -10.92% | |
0.0620 | -1.27% | |
0.0781 | -4.99% | |
1.656 | -6.18% | |
0.0000579 | -10.92% | |
0.01149 | -2.54% | |
0.7614 | -0.01% | |
2.119 | -3.73% | |
0.00000001258 | -6.54% | |
0.002981 | -10.37% | |
0.002227 | -1.50% | |
0.0000259 | -1.52% | |
0.05041 | -5.24% | |
0.012385 | -0.02% | |
2.945 | -6.06% | |
0.00030000 | 0.00% | |
0.1878 | -3.40% | |
8.31 | -5.25% | |
0.00622 | -30.89% | |
0.001568 | -3.86% | |
0.00000000001056 | -9.36% | |
0.1183 | -8.79% | |
0.000303 | 14.77% | |
0.0051022 | -0.24% | |
0.00097 | 4.30% | |
0.0104 | 6.12% | |
0.0002900 | -6.72% | |
0.0000092 | 3.37% | |
0.1041 | -29.04% | |
0.004231 | -9.19% | |
0.0612 | -1.45% | |
0.0117 | -66.38% | |
0.1224 | -11.30% | |
0.00000653 | -9.81% | |
0.0135 | -8.16% | |
0.000288 | -3.03% | |
0.0003567 | -9.24% | |
0.0104 | 8.33% | |
0.09175 | -7.00% | |
0.01543 | -6.94% | |
0.01023 | -5.45% | |
0.003217 | -10.14% | |
0.001101 | 4.56% | |
0.0049 | 11.36% | |
0.002500 | 1.01% | |
16.01 | -4.65% | |
0.0864 | 44.00% | |
0.02916 | -13.60% | |
0.006101 | -7.14% | |
0.0522 | -1.51% | |
0.2628 | -6.31% | |
0.001020 | -4.49% | |
0.00419 | 2.20% | |
39.86 | -3.56% | |
0.02686 | -12.11% | |
0.7280 | 0.50% | |
0.0005462 | -1.89% | |
0.00002894 | 9.00% | |
0.001339 | -5.10% | |
0.002393 | -16.21% | |
0.0000000467 | -2.10% | |
0.017744 | -2.63% | |
0.0098 | -2.00% | |
0.383 | -3.04% | |
69.2 | -4.42% | |
0.0000021 | 0.00% | |
0.0002643 | -7.46% | |
0.4716 | -5.77% | |
0.02000 | 233.33% | |
0.002962 | -14.66% | |
0.0000591 | -3.27% | |
0.2573 | 1.86% | |
0.0000000752 | 0.67% | |
0.006500 | -2.99% | |
0.1300 | -3.85% | |
0.0483 | -10.06% | |
0.004761 | 6.49% | |
4.370 | -4.98% | |
0.0096 | -1.03% | |
0.01254 | -10.24% | |
0.005461 | -4.21% | |
0.00126 | -3.82% | |
6.2389 | -0.58% | |
13.37 | -4.57% | |
0.00759 | -5.48% | |
0.0564 | -15.19% | |
1343 | -6.22% | |
0.1735 | -6.77% | |
0.010804 | -5.73% | |
0.0575 | -7.85% | |
0.2487 | -11.81% | |
0.0005567 | -11.38% | |
0.0000031 | -11.43% | |
0.1258 | -9.63% | |
56.40 | -20.51% | |
0.0890 | -1.98% | |
0.0835 | -4.24% | |
0.1102 | -7.32% | |
0.1505 | -5.88% | |
0.1082 | -4.92% | |
0.06006 | -15.76% | |
0.008899 | 5.93% | |
0.2788 | -5.75% | |
19.26 | -9.32% | |
0.004522 | -10.35% | |
0.000651 | -10.82% | |
0.018559 | -9.74% | |
0.03541 | -1.31% | |
0.2504 | -6.29% | |
0.04147 | -6.32% | |
0.002788 | -7.31% | |
0.00766 | -6.47% | |
0.0000000125 | -16.67% | |
0.01137 | -5.96% | |
0.0004316 | 8.85% | |
0.5482 | -4.08% | |
15.39 | -6.90% | |
0.2994 | -13.72% | |
1.199 | -5.52% | |
0.2462 | -5.49% | |
0.000345 | -4.43% | |
0.000600 | -7.69% | |
0.2139 | -2.86% | |
0.000168 | -3.45% | |
0.001724 | -6.25% | |
146.61 | -1.11% | |
0.000930 | -4.91% | |
0.4248 | -2.77% | |
0.01476 | -10.49% | |
0.3322 | -5.17% | |
0.00000226 | -21.25% | |
0.001660 | -10.75% | |
0.0000008 | 14.29% | |
0.003346 | -9.74% | |
0.657 | -13.10% | |
101.67 | 0.95% | |
0.1870 | -2.50% | |
0.0006762 | 1.24% | |
0.00976 | -6.15% | |
0.0988 | -3.33% | |
0.0004008 | -4.82% | |
0.0004939 | 3.67% | |
0.00000000155 | 8.39% | |
0.00000722 | -0.28% | |
0.01124 | -4.66% | |
0.005659 | -11.20% | |
0.0782 | 1.69% | |
5.47 | -7.45% | |
0.04532 | 8.94% | |
0.0000801 | 81.22% | |
0.000677 | 4.31% | |
0.000002074 | -14.62% | |
0.1597 | -5.05% | |
0.0150 | -8.54% | |
0.0232 | -2.11% | |
11.12 | -2.11% | |
0.000816 | 0.12% | |
0.3401 | -5.11% | |
0.708 | -3.67% | |
12.78 | -3.18% | |
0.1973 | -4.27% | |
0.00712 | -3.00% | |
0.002350 | -11.32% | |
0.000490 | -8.24% | |
0.8058 | -1.23% | |
0.000000001300 | -13.16% | |
0.002634 | -6.16% | |
0.04562 | 0.26% | |
0.887 | -7.22% | |
0.1063 | -10.07% | |
0.0000000624 | -2.35% | |
0.002443 | -25.74% | |
0.1077 | -6.91% | |
0.1891 | -0.53% | |
0.2620 | -6.89% | |
0.0225 | -5.46% | |
0.01128 | -2.34% | |
0.01459 | -8.47% | |
1.3108 | -6.31% | |
0.04130 | -1.43% | |
0.0012 | 100.00% | |
0.656 | -3.39% | |
0.00692 | -1.42% | |
1.339 | -3.11% | |
0.0864 | -5.57% | |
0.01385 | -15.24% | |
0.003868 | -8.73% | |
0.000000000000832 | 0.24% | |
0.667 | -6.58% | |
0.1783 | -3.20% | |
0.000412 | 0.49% | |
0.00003 | 50.00% | |
0.00493 | -5.19% | |
0.002244 | -7.84% | |
22.281 | -2.68% | |
0.000018 | -65.38% | |
5.618 | -5.45% | |
0.8267 | -0.47% | |
0.0305 | -3.48% | |
0.00000000000022 | 22.22% | |
0.5395 | -2.51% | |
0.0750 | -5.54% | |
16.44 | -3.24% | |
0.6798 | -7.87% | |
0.0812 | -4.81% | |
0.00225 | 14.80% | |
0.592 | -4.52% | |
0.00031 | -3.13% | |
0.0000565 | -9.31% | |
2.127 | -6.59% | |
0.02487 | -14.30% | |
0.00008786 | -2.04% | |
0.002585 | -4.65% | |
0.750 | 0.00% | |
0.1159 | -4.92% | |
0.0420 | -6.04% | |
0.00000000000014 | 0.00% | |
0.310 | -4.02% | |
0.2138 | -6.68% | |
0.0510 | -6.59% | |
0.00009117 | -3.12% | |
0.00002255 | -2.21% | |
0.00000000001526 | 5.90% | |
0.000009 | -18.18% | |
0.03676 | -2.65% | |
0.00000000000038 | -5.00% | |
0.00000014000 | -51.69% | |
0.0000213 | -4.91% | |
0.0074 | -10.84% | |
0.0000061 | 10.91% | |
0.001016 | -4.78% | |
0.5141 | -2.63% | |
2.850 | -3.52% | |
0.2046 | -4.39% | |
0.000000000004690 | 0.02% | |
0.01243 | -3.12% | |
6.215 | -4.55% | |
0.000839 | -0.83% | |
0.00020 | -20.00% | |
0.0000080 | -6.98% | |
0.000600 | 0.00% | |
0.0680 | -4.90% | |
0.00870 | -12.56% | |
0.00113 | 0.00% | |
0.2994 | -10.41% | |
0.005978 | 11.14% | |
0.0769 | -3.03% | |
0.000351 | 0.86% | |
0.000000000001592 | -13.71% | |
0.03904 | -7.07% | |
0.0000579 | -13.58% | |
0.0050 | -29.58% | |
0.0003680 | -6.91% | |
0.000024 | 0.00% | |
0.000058 | -1.69% | |
0.000000097 | -7.62% | |
0.1208 | -8.55% | |
0.00000861 | 3.61% | |
0.001604 | 0.63% | |
0.0288 | -8.86% | |
1.257 | -2.93% | |
8.36 | -2.11% | |
0.00002008 | -1.03% | |
0.00610 | -2.40% | |
0.4869 | -3.68% | |
0.0013 | 8.33% | |
0.04378 | -12.26% | |
0.00000000000235 | 12.44% | |
0.000068 | 15.25% | |
0.000000000449 | -15.76% | |
1.259 | -5.34% | |
0.000013 | -45.83% | |
0.2167 | 3.04% | |
0.02187 | -5.28% | |
0.00030 | -3.23% | |
0.1423 | -1.79% | |
0.0532 | -2.56% | |
0.2143 | -3.03% | |
0.17939 | -0.76% | |
0.0000000000000166 | -2.92% | |
0.05449 | 3.20% | |
0.0430 | -1.83% | |
0.05951 | -0.72% | |
0.0535 | 4.09% | |
0.1230 | -9.76% | |
0.001100 | -47.59% | |
0.1129 | -1.31% | |
0.0007 | 0.00% | |
0.003501 | -3.74% | |
0.0105 | 0.00% | |
0.004189 | -0.31% | |
0.002700 | 5.02% | |
0.000000000019 | 0.00% | |
0.01069 | 0.09% | |
0.0000032 | 10.34% | |
3.8900 | 54.80% | |
0.000000000003 | -40.00% | |
0.000835 | -8.74% | |
0.010200 | 0.99% | |
4.64 | -6.83% | |
0.0002100 | -4.59% | |
0.00758 | -1.94% | |
0.0318 | -4.79% | |
0.00000000003508 | 0.17% | |
0.00000000000872 | 33.95% | |
0.00010999 | 80.10% | |
0.1879 | -5.05% | |
0.000000000765 | 0.13% | |
0.0000071 | -29.00% | |
0.002509 | 20.80% | |
0.00000360 | -3.23% | |
0.4395 | -2.81% | |
0.0000004 | -60.00% | |
0.0661 | -5.30% | |
0.0001623 | 1.56% | |
0.003876 | -7.54% | |
0.0003495 | -56.31% | |
0.03420 | -0.29% | |
0.000001671 | 5.09% | |
0.001125 | -2.43% | |
0.03356 | -0.47% | |
0.07925 | -0.63% | |
50.0000 | 0.00% | |
0.00000000001940 | 0.26% | |
0.0650 | -8.19% | |
0.0342 | -4.20% | |
0.00023 | -36.11% | |
0.02017 | 7.00% | |
0.000000001698 | -1.74% | |
0.0876 | -4.37% | |
0.3558 | -4.92% | |
0.001023 | -5.10% | |
0.00000051 | -1.92% | |
0.00248 | -9.82% | |
0.000000002097 | -1.83% | |
0.547 | -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% | |
0.000001309 | -3.04% | |
0.000938 | -2.60% | |
0.000000000776 | 3.33% | |
0.00409 | -6.62% | |
0.0008 | 60.00% | |
0.000000000573 | 37.08% | |
0.1663 | -8.63% | |
1.387 | -0.72% | |
0.0947 | -6.42% | |
0.000000000009 | 0.00% | |
0.00510 | 0.00% | |
0.0006902 | -6.70% | |
0.001791 | 0.06% | |
0.0019289 | -9.24% | |
0.00000006 | 0.00% | |
17.348 | -3.08% | |
0.0084 | 27.27% | |
0.1011 | -2.41% | |
0.6998 | -0.01% | |
0.000019 | 0.00% | |
0.001518 | -23.60% | |
0.0951 | -8.65% | |
0.00000103 | 3.00% | |
0.00008 | -38.46% | |
0.003465 | -10.93% | |
0.01728 | -4.69% | |
0.0009 | 0.00% | |
1.73 | -27.92% | |
0.00004 | -20.00% | |
0.01509 | -3.70% | |
0.00000000000099 | -1.00% | |
0.0271 | -0.37% | |
0.000018 | -28.00% | |
0.0001450 | 0.00% | |
0.002026 | 1.86% | |
0.00010 | 42.86% | |
0.9900 | 0.00% | |
0.0063 | -1.56% | |
0.0000322 | 24.81% | |
0.00000011220 | -28.39% | |
0.0005778 | -5.50% | |
0.0002 | -50.00% | |
0.0000002284 | 3.16% | |
0.000000000040 | -42.03% | |
1.052 | -5.90% | |
0.0192 | -45.30% | |
0.00046 | -6.12% | |
0.00000000000289 | 1.05% | |
0.0768 | -8.13% | |
0.001997 | -10.33% | |
0.0000021 | -84.78% | |
0.00000286 | -3.05% | |
0.00000000000422 | 0.96% | |
0.00083 | -19.42% | |
0.0000000204 | 3.55% | |
0.0001320 | 28.16% | |
0.00995 | -0.50% | |
0.001035 | 47.65% | |
0.000064 | 72.97% | |
0.00000000054 | 0.00% | |
0.000042 | 2.44% | |
0.0728 | -7.73% | |
0.000000000106 | -9.40% | |
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% | |
0.000078 | 1.30% | |
0.00000011 | 37.50% | |
0.00004398 | 0.00% | |
0.0663 | 2.79% | |
0.01787 | -5.40% | |
0.000709 | -4.83% | |
1.1101 | -1.39% | |
0.5383 | -0.59% | |
0.09300 | -3.54% | |
0.00013 | 8.33% | |
0.000888 | -14.45% | |
0.001295 | 1.33% | |
1.4738 | -5.12% | |
58.5600 | 0.00% | |
0.00004321 | -1.91% | |
0.0459 | -16.39% | |
0.002108 | -6.89% | |
0.02906 | -0.14% | |
0.001802 | -7.49% | |
0.0006703 | 2.48% | |
0.003175 | -7.97% | |
0.00385 | 0.00% | |
0.0009012 | 0.00% | |
0.0000119 | 0.00% | |
0.0003995 | 0.78% | |
0.0007993 | 0.00% | |
5.943 | -2.56% | |
0.0000329 | 0.00% | |
0.003404 | 6.84% | |
0.000029 | 11.54% | |
0.011116 | 1.88% | |
0.002586 | -11.86% | |
0.002272 | -6.62% | |
1899.00 | 0.00% | |
0.4095 | -0.73% | |
0.1163 | -11.56% | |
0.04297 | -9.69% | |
0.000115 | -4.96% | |
0.4924 | -10.44% | |
0.000758 | 2.99% | |
0.1298 | -7.55% | |
0.000001969 | 3.63% | |
1.261 | -1.64% | |
0.0394 | 0.25% | |
0.001140 | -6.25% | |
0.02741 | -2.28% | |
0.00208 | -0.48% | |
0.000119 | 0.00% | |
0.0822 | 6.34% | |
0.00971 | -1.82% | |
2.80 | -6.67% | |
1.000000 | 0.00% | |
0.1698 | -2.97% | |
0.3771 | 0.00% | |
0.549 | -7.42% | |
0.5732 | 0.00% | |
48.533 | -0.25% | |
1.780 | -2.14% | |
2.668 | -2.56% | |
0.000000041 | -59.00% | |
0.1319 | -5.72% | |
0.06924 | -2.86% | |
0.641 | -3.03% | |
0.6477 | -4.41% | |
0.0700 | 0.00% | |
0.00000000015708 | 0.00% | |
0.001112 | -2.80% | |
0.00000080 | 0.00% | |
0.1648 | -3.79% | |
0.000216 | 0.00% | |
0.0000000030210 | 0.00% | |
1.420 | -7.25% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
1.1371 | 0.00% | |
0.4424 | 0.00% | |
0.2152 | 0.37% | |
0.0383 | -4.49% | |
0.000368 | -3.92% | |
0.0071 | 0.00% | |
0.01554 | -3.54% | |
0.000210 | 0.00% | |
0.00782 | -1.88% | |
2.014 | -4.50% | |
0.1520 | -3.86% | |
6.72 | -5.35% | |
0.0411 | -4.64% | |
0.000452 | 0.00% | |
0.230000 | 0.00% | |
0.000000002467 | 5.70% | |
0.000191050 | -0.26% | |
0.00000042 | 0.00% | |
0.1204 | 0.00% | |
2.744 | 2.69% | |
1.033 | -2.09% | |
0.004000 | 0.00% | |
0.000300 | 0.00% | |
0.0023 | 0.00% | |
0.00035 | 0.00% | |
0.0112 | 0.00% | |
0.000000039 | -2.50% | |
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% | |
0.2463 | -0.32% | |
0.000902 | 0.00% | |
0.0224 | 2.28% | |
0.000000000767 | 4.64% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00012800 | 37.63% | |
0.000451 | 1.12% | |
0.004025 | 0.00% | |
0.0116 | 3.57% | |
9.629 | -0.95% | |
0.0000000104 | 0.00% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000045 | 0.00% | |
0.00001626 | 0.00% | |
0.000000000375 | 0.00% | |
0.00024 | 9.09% | |
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% | |
0.004394 | 6.39% | |
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% | |
0.0915 | -1.08% | |
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% | |
0.01375 | -1.43% | |
0.0000087 | 1.16% | |
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% | |
1.3041 | -2.56% | |
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% | |
0.0436 | 0.00% | |
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 | 1.66% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02608 | -4.78% | |
0.4236 | -1.24% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
0.0091 | 0.00% | |
0.0301 | -4.14% | |
0.546 | 3.61% |