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 .
المعاجم الشعبية
قراءات ذات صلة
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0.00450 | 0.00% | |
0.0008830 | -3.71% | |
0.00152 | -5.00% | |
1.418 | 6.62% | |
0.0598 | -3.55% | |
0.02200 | 15.85% | |
0.512 | -6.23% | |
0.000119 | 0.00% | |
0.00280 | -5.08% | |
0.008093 | 0.05% | |
0.477 | -5.92% | |
0.2673 | -2.30% | |
0.00039236 | 0.13% | |
0.000853 | 0.95% | |
0.01520 | -6.63% | |
6.28 | -12.29% | |
0.1613 | -10.59% | |
0.02050 | -6.86% | |
0.1894 | -5.82% | |
0.1600 | -3.03% | |
0.1134 | -0.09% | |
0.5800 | 28.43% | |
1.7644 | 0.09% | |
0.01043 | -19.77% | |
0.002727 | -10.12% | |
0.00724 | 0.00% | |
2.7192 | 1.17% | |
0.013817 | -0.96% | |
3104.82 | -0.93% | |
0.0000430 | -16.99% | |
0.00579 | -10.65% | |
0.002511 | -11.08% | |
0.00210 | -4.11% | |
18.2796 | -3.16% | |
0.9275 | -10.00% | |
0.0000000001892 | -2.47% | |
0.004097 | -7.93% | |
0.01619 | -6.79% | |
0.00006723 | -0.36% | |
0.000000443 | -12.28% | |
0.000361 | -2.43% | |
0.00005958 | -3.84% | |
0.004992 | 0.18% | |
0.1844 | -7.89% | |
0.6866 | 1.30% | |
0.008000 | 12.76% | |
7.8518 | -6.27% | |
0.013670 | 1.00% | |
0.1723 | -6.10% | |
0.00001155 | -4.55% | |
0.01109 | -3.48% | |
0.5781 | -5.28% | |
0.05838 | 3.40% | |
0.000203037 | 1.61% | |
0.00911 | -1.94% | |
0.4636 | -7.69% | |
0.000385 | -0.77% | |
0.00175 | -9.33% | |
2.638 | -7.96% | |
0.002738 | 9.21% | |
0.003972 | 2.16% | |
0.0004371 | 4.32% | |
0.0001982 | -9.62% | |
0.973 | -21.66% | |
0.0516 | -5.67% | |
0.005382 | -35.08% | |
0.00319371 | -6.24% | |
0.015573 | 3.82% | |
0.063066 | -1.62% | |
0.007792 | 5.30% | |
0.000840 | 6.46% | |
0.01465 | -0.20% | |
0.06634 | 4.90% | |
0.1729 | -5.36% | |
0.0030010 | -0.86% | |
0.0000135 | -17.68% | |
2.411 | -13.58% | |
0.002228 | 90.26% | |
0.8609 | -3.06% | |
0.002510 | 35.53% | |
0.000747 | 5.81% | |
0.755 | -8.60% | |
0.002048 | 2.40% | |
0.001506 | -4.86% | |
0.0114 | -5.79% | |
0.05575 | -3.95% | |
14.72 | -15.06% | |
1.0794 | -2.71% | |
0.3612 | -5.35% | |
0.0315 | -7.89% | |
0.0041 | -2.38% | |
0.310 | -6.63% | |
0.000294 | -11.98% | |
0.00453 | 0.00% | |
0.00001502 | -14.95% | |
0.00209 | -7.93% | |
0.015558 | 0.15% | |
0.00840 | -4.22% | |
0.002946 | -4.16% | |
0.00000014074 | -4.96% | |
7.31 | -4.19% | |
0.006478 | -5.66% | |
0.0671 | -4.82% | |
0.22015 | -13.41% | |
0.000296 | -1.99% | |
0.6478 | -5.68% | |
0.01149 | -4.09% | |
0.01697 | -2.19% | |
0.02688 | -8.63% | |
0.410 | -3.53% | |
0.004209 | 19.68% | |
0.01205 | -4.29% | |
0.777 | -7.06% | |
0.0112 | -50.88% | |
0.01247 | 4.70% | |
0.0000239 | -1.65% | |
0.004850 | -9.19% | |
0.000000000239 | 0.42% | |
0.002309 | -8.26% | |
0.003894 | 22.22% | |
0.000224 | 7.69% | |
0.0002949 | -7.44% | |
0.001800 | -1.64% | |
16.70 | -2.11% | |
0.001650 | -8.54% | |
0.7530 | -21.57% | |
0.556 | -4.14% | |
0.00780 | -13.33% | |
0.479 | -4.77% | |
0.003441 | -2.69% | |
0.2025 | -9.03% | |
0.0000000405 | 11.88% | |
0.3679 | -8.78% | |
0.0000016754 | 2.06% | |
0.0482 | -1.83% | |
0.884 | -4.43% | |
0.0050 | 47.06% | |
0.00101 | -30.82% | |
0.00000003325 | -2.61% | |
0.85005 | -0.42% | |
0.000508 | -2.12% | |
0.001582 | -10.22% | |
0.001635 | -4.33% | |
0.3498 | 2.64% | |
0.0006036 | -1.26% | |
0.0421 | -3.44% | |
0.001964 | -4.05% | |
0.1664 | -5.35% | |
1981.78 | -2.80% | |
0.00003344 | -1.47% | |
0.0062 | 1.64% | |
0.1233 | -5.88% | |
0.0001807 | -23.07% | |
0.00154 | -8.88% | |
0.0003126 | -22.99% | |
17.68 | 5.18% | |
0.000523 | -27.36% | |
27.39 | -2.42% | |
0.001175 | -12.51% | |
5.286 | -2.35% | |
0.4132 | -3.57% | |
0.00000001171 | -3.22% | |
2.522 | -5.58% | |
4.737 | -5.97% | |
0.04767 | -7.09% | |
0.0258 | -3.01% | |
0.00233 | -2.92% | |
0.00000419 | -4.99% | |
0.03564 | -2.60% | |
0.3000 | -17.81% | |
0.2701 | -4.63% | |
0.0903 | -5.15% | |
0.07634 | -6.31% | |
0.1932 | -1.48% | |
0.01370 | -8.73% | |
0.000093 | -3.13% | |
0.0000550 | -2.31% | |
0.0000000908 | 0.11% | |
0.03690 | -10.74% | |
0.55263 | -5.58% | |
0.0002037 | -11.28% | |
0.03230 | -0.22% | |
0.001704 | -13.02% | |
0.031066 | 5.42% | |
0.01103 | 5.75% | |
0.0000002925 | 7.34% | |
0.01476 | -9.23% | |
0.0002472 | -7.49% | |
0.6621 | -5.67% | |
0.001315 | 13.46% | |
0.02293 | -5.29% | |
1.6940 | 9.40% | |
0.0733 | -4.68% | |
0.003901 | -3.66% | |
0.01817 | -1.68% | |
0.10784 | -7.73% | |
0.011987 | 0.01% | |
0.0007667 | 38.95% | |
0.0151 | -4.43% | |
1.746 | -6.18% | |
0.0862 | -5.38% | |
1.970 | -3.53% | |
0.1439 | -6.32% | |
0.2445 | -7.03% | |
0.000897 | -14.65% | |
0.01228 | -5.39% | |
0.450 | -4.05% | |
0.785 | -5.99% | |
0.2491 | -5.21% | |
0.0000464 | -3.33% | |
2.175 | -0.50% | |
0.00599 | -7.56% | |
0.02662 | -4.07% | |
0.1217 | -7.80% | |
0.1954 | -16.78% | |
0.594 | -6.31% | |
0.2460 | -3.04% | |
0.238 | -5.93% | |
0.00000000008462 | -11.58% | |
0.000262 | 32.99% | |
0.0207 | -11.16% | |
0.005969 | 3.43% | |
0.0000002641 | 2.25% | |
0.01893 | -9.86% | |
0.00000001643 | -2.14% | |
0.0614 | -6.26% | |
0.03372 | -7.77% | |
0.3135 | -13.61% | |
0.0158 | -7.60% | |
6.40 | -5.19% | |
0.02292 | -1.80% | |
0.0004081 | -19.63% | |
0.2690 | -4.13% | |
0.001137 | -3.15% | |
0.003057 | 4.44% | |
0.00934 | -4.21% | |
0.01395 | -11.03% | |
0.003941 | -0.53% | |
0.002953 | -13.98% | |
15.97 | -4.20% | |
0.01338 | -2.19% | |
0.004598 | -5.84% | |
0.538 | -7.24% | |
0.0645 | -1.38% | |
0.1046 | -7.43% | |
0.0000000000000139 | -4.79% | |
0.000001496 | -1.84% | |
306.7 | -0.55% | |
0.0003482 | -5.87% | |
0.1063 | -6.67% | |
0.2996 | -10.35% | |
0.0620 | -2.21% | |
0.0783 | -4.74% | |
1.674 | -4.29% | |
0.0000577 | -11.23% | |
0.01154 | -1.87% | |
0.7614 | -0.01% | |
2.122 | -3.81% | |
0.00000001258 | -6.47% | |
0.002980 | -9.83% | |
0.002229 | -3.13% | |
0.0000259 | -1.52% | |
0.05040 | -5.28% | |
0.012385 | -0.02% | |
2.948 | -5.93% | |
0.00030000 | 0.00% | |
0.1882 | -2.99% | |
8.33 | -4.69% | |
0.00622 | -30.89% | |
0.001570 | -3.44% | |
0.00000000001058 | -9.65% | |
0.1182 | -8.87% | |
0.000303 | 14.77% | |
0.0051055 | -0.06% | |
0.00097 | 4.30% | |
0.0101 | 3.06% | |
0.0002902 | -6.08% | |
0.0000088 | -3.30% | |
0.1051 | -28.45% | |
0.004248 | -8.63% | |
0.0613 | -1.13% | |
0.0123 | -64.66% | |
0.1227 | -11.22% | |
0.00000655 | -9.28% | |
0.0134 | -10.07% | |
0.000278 | -1.42% | |
0.0003567 | -9.07% | |
0.0104 | 8.33% | |
0.09176 | -6.83% | |
0.01545 | -6.70% | |
0.01030 | -4.01% | |
0.003225 | -9.69% | |
0.001103 | 9.97% | |
0.0051 | 15.91% | |
0.002500 | 1.01% | |
16.04 | -4.18% | |
0.0864 | 44.00% | |
0.02918 | -13.15% | |
0.006101 | -7.14% | |
0.0522 | -1.51% | |
0.2629 | -5.94% | |
0.001020 | -4.05% | |
0.00420 | 1.45% | |
39.94 | -3.18% | |
0.02696 | -11.43% | |
0.7280 | 0.50% | |
0.0005469 | -1.28% | |
0.00002899 | 9.64% | |
0.001339 | -4.90% | |
0.002396 | -16.08% | |
0.0000000473 | 0.21% | |
0.017744 | -2.63% | |
0.0098 | -2.00% | |
0.382 | -3.29% | |
69.3 | -4.28% | |
0.0000021 | 0.00% | |
0.0002645 | -7.19% | |
0.4725 | -5.44% | |
0.02000 | 233.33% | |
0.002965 | -14.85% | |
0.0000591 | -3.27% | |
0.2573 | 1.86% | |
0.0000000753 | 0.00% | |
0.006500 | -2.99% | |
0.1301 | -3.34% | |
0.0483 | -10.06% | |
0.004740 | 6.11% | |
4.371 | -5.12% | |
0.0096 | -1.03% | |
0.01259 | -9.49% | |
0.005465 | -3.63% | |
0.00126 | -3.82% | |
6.2648 | -0.20% | |
13.39 | -4.15% | |
0.00755 | -5.86% | |
0.0566 | -15.27% | |
1340 | -6.10% | |
0.1736 | -6.31% | |
0.010859 | -5.21% | |
0.0575 | -7.85% | |
0.2490 | -11.51% | |
0.0005568 | -11.07% | |
0.0000031 | -11.43% | |
0.1258 | -9.10% | |
56.49 | -20.19% | |
0.0890 | -1.98% | |
0.0836 | -3.91% | |
0.1105 | -6.83% | |
0.1508 | -5.51% | |
0.1081 | -4.76% | |
0.06006 | -15.76% | |
0.008899 | 5.93% | |
0.2793 | -5.42% | |
19.28 | -8.97% | |
0.004517 | -10.18% | |
0.000652 | -10.68% | |
0.018559 | -9.74% | |
0.03534 | -1.26% | |
0.2507 | -5.93% | |
0.04179 | -6.59% | |
0.002787 | -5.53% | |
0.00766 | -6.47% | |
0.0000000123 | -18.00% | |
0.01133 | -5.19% | |
0.0004316 | 9.10% | |
0.5486 | -4.04% | |
15.44 | -6.65% | |
0.2996 | -13.49% | |
1.202 | -5.21% | |
0.2462 | -5.23% | |
0.000345 | -4.43% | |
0.000600 | -7.69% | |
0.2137 | -2.69% | |
0.000169 | -2.87% | |
0.001725 | -6.05% | |
146.61 | -3.05% | |
0.000931 | -4.81% | |
0.4255 | -2.74% | |
0.01477 | -9.72% | |
0.3329 | -4.64% | |
0.00000226 | -21.25% | |
0.001663 | -10.45% | |
0.0000008 | 14.29% | |
0.003375 | -8.49% | |
0.659 | -11.90% | |
101.67 | 0.95% | |
0.1870 | -2.15% | |
0.0006753 | 1.23% | |
0.00979 | -5.77% | |
0.0990 | -3.13% | |
0.0004018 | -4.24% | |
0.0004939 | 3.46% | |
0.00000000155 | 8.39% | |
0.00000724 | 0.28% | |
0.01125 | -4.58% | |
0.005662 | -11.03% | |
0.0785 | 2.21% | |
5.47 | -7.60% | |
0.04475 | 7.16% | |
0.0000801 | 81.22% | |
0.000677 | 4.96% | |
0.000002078 | -14.06% | |
0.1599 | -4.71% | |
0.0150 | -8.54% | |
0.0232 | -2.11% | |
11.13 | -2.11% | |
0.000816 | 0.12% | |
0.3406 | -4.81% | |
0.709 | -3.54% | |
12.83 | -2.51% | |
0.1976 | -3.94% | |
0.00712 | -2.86% | |
0.002350 | -11.32% | |
0.000474 | -12.71% | |
0.8062 | -1.12% | |
0.000000001300 | -13.16% | |
0.002635 | -2.80% | |
0.04588 | 0.92% | |
0.887 | -7.22% | |
0.1066 | -9.43% | |
0.0000000624 | -2.35% | |
0.002449 | -25.54% | |
0.1078 | -6.59% | |
0.1891 | -0.42% | |
0.2618 | -6.97% | |
0.0226 | -4.24% | |
0.01130 | -2.16% | |
0.01463 | -8.39% | |
1.3134 | -5.61% | |
0.04130 | -1.43% | |
0.0012 | 100.00% | |
0.656 | -3.24% | |
0.00692 | -1.42% | |
1.338 | -2.97% | |
0.0864 | -5.68% | |
0.01387 | -13.90% | |
0.003871 | -9.02% | |
0.000000000000849 | 2.29% | |
0.669 | -5.77% | |
0.1783 | -2.99% | |
0.000412 | 0.49% | |
0.00003 | 50.00% | |
0.00494 | -5.73% | |
0.002245 | -7.69% | |
22.304 | -2.30% | |
0.000018 | -65.38% | |
5.628 | -5.17% | |
0.8289 | -0.36% | |
0.0305 | -3.17% | |
0.00000000000022 | 22.22% | |
0.5397 | -2.18% | |
0.0750 | -5.30% | |
16.47 | -2.77% | |
0.6823 | -7.36% | |
0.0812 | -4.58% | |
0.00225 | 14.80% | |
0.593 | -4.20% | |
0.00031 | -3.13% | |
0.0000565 | -9.31% | |
2.119 | -6.49% | |
0.02481 | -14.51% | |
0.00008786 | -2.04% | |
0.002588 | -4.04% | |
0.750 | 0.00% | |
0.1162 | -4.68% | |
0.0420 | -6.04% | |
0.00000000000014 | 0.00% | |
0.311 | -3.42% | |
0.2140 | -5.98% | |
0.0511 | -6.24% | |
0.00009123 | -2.75% | |
0.00002258 | -1.48% | |
0.00000000001547 | 2.93% | |
0.000009 | -18.18% | |
0.03676 | -2.65% | |
0.00000000000038 | -7.32% | |
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% | |
0.2044 | -4.40% | |
0.000000000004690 | 0.02% | |
0.01245 | -2.66% | |
6.205 | -4.44% | |
0.000839 | -0.47% | |
0.00020 | -20.00% | |
0.0000080 | -6.98% | |
0.000600 | 0.00% | |
0.0681 | -4.35% | |
0.00873 | -12.08% | |
0.00113 | 0.00% | |
0.3006 | -10.16% | |
0.005978 | 11.14% | |
0.0769 | -3.15% | |
0.000351 | 0.86% | |
0.000000000001586 | -13.99% | |
0.03901 | -6.99% | |
0.0000579 | -13.58% | |
0.0050 | -29.58% | |
0.0003672 | -6.83% | |
0.000024 | 0.00% | |
0.000058 | -1.69% | |
0.000000097 | -7.62% | |
0.1211 | -8.19% | |
0.00000861 | 3.61% | |
0.001606 | 1.07% | |
0.0288 | -8.57% | |
1.261 | -2.40% | |
8.36 | -1.65% | |
0.00002009 | -0.79% | |
0.00611 | -2.40% | |
0.4866 | -3.61% | |
0.0013 | 8.33% | |
0.04363 | -14.42% | |
0.00000000000235 | 12.44% | |
0.000068 | 15.25% | |
0.000000000449 | -15.76% | |
1.256 | -5.28% | |
0.000013 | -45.83% | |
0.2167 | 3.04% | |
0.02188 | -5.32% | |
0.00030 | -3.23% | |
0.1426 | -1.93% | |
0.0537 | -1.10% | |
0.2145 | -2.94% | |
0.18002 | -0.08% | |
0.0000000000000164 | -4.09% | |
0.05468 | 3.78% | |
0.0432 | -2.48% | |
0.05954 | -0.57% | |
0.0531 | 3.71% | |
0.1233 | -9.54% | |
0.001100 | -47.59% | |
0.1129 | -1.31% | |
0.0007 | 0.00% | |
0.003501 | -3.74% | |
0.0105 | -3.67% | |
0.004192 | 0.14% | |
0.002700 | 5.02% | |
0.000000000019 | 0.00% | |
0.01069 | 0.09% | |
0.0000032 | 10.34% | |
3.8900 | 54.80% | |
0.000000000003 | -40.00% | |
0.000834 | -8.75% | |
0.010200 | 0.99% | |
4.64 | -6.83% | |
0.0002100 | -4.59% | |
0.00753 | -1.95% | |
0.0318 | -4.79% | |
0.00000000003554 | -1.03% | |
0.00000000000872 | 33.95% | |
0.00010999 | 80.10% | |
0.1883 | -4.80% | |
0.000000000765 | 0.13% | |
0.0000071 | -29.00% | |
0.002510 | 21.37% | |
0.00000356 | -2.47% | |
0.4392 | -2.47% | |
0.0000004 | -60.00% | |
0.0661 | -5.03% | |
0.0001623 | 1.56% | |
0.003877 | -7.09% | |
0.0003495 | -56.31% | |
0.03420 | -0.29% | |
0.000001671 | 5.09% | |
0.001126 | -2.09% | |
0.03355 | -0.50% | |
0.07937 | -0.16% | |
50.0000 | 0.00% | |
0.00000000001940 | 0.26% | |
0.0651 | -8.18% | |
0.0343 | -4.19% | |
0.00023 | -36.11% | |
0.02008 | 7.67% | |
0.000000001698 | -1.57% | |
0.0878 | -3.94% | |
0.3571 | -4.72% | |
0.001025 | -4.92% | |
0.00000051 | -7.27% | |
0.00248 | -9.82% | |
0.000000001987 | -6.98% | |
0.548 | -1.97% | |
0.000092 | 0.00% | |
0.008231 | 0.00% | |
0.0000509 | 0.79% | |
0.00006 | -14.29% | |
0.0987 | -3.71% | |
0.024504 | 0.00% | |
0.0000055 | 14.58% | |
0.000001297 | -4.21% | |
0.000939 | -2.19% | |
0.000000000782 | 3.85% | |
0.00410 | -6.39% | |
0.0008 | 60.00% | |
0.000000000573 | 37.08% | |
0.1666 | -8.21% | |
1.388 | -0.50% | |
0.0949 | -6.23% | |
0.000000000009 | 0.00% | |
0.00510 | 0.00% | |
0.0006913 | -6.56% | |
0.001791 | 0.06% | |
0.0019313 | -8.99% | |
0.00000006 | 0.00% | |
17.359 | -3.02% | |
0.0084 | 27.27% | |
0.1003 | -3.00% | |
0.6998 | -0.01% | |
0.000019 | 0.00% | |
0.001518 | -23.60% | |
0.0950 | -8.30% | |
0.00000103 | 3.00% | |
0.00008 | -38.46% | |
0.003469 | -10.71% | |
0.01728 | -4.53% | |
0.0009 | 0.00% | |
1.73 | -27.92% | |
0.00004 | -20.00% | |
0.01512 | -3.51% | |
0.00000000000098 | 4.26% | |
0.0271 | -0.37% | |
0.000018 | -28.00% | |
0.0001450 | 0.00% | |
0.002051 | 1.99% | |
0.00010 | 42.86% | |
0.9900 | 0.00% | |
0.0063 | -1.56% | |
0.0000270 | 22.73% | |
0.00000011220 | -28.39% | |
0.0005783 | -4.87% | |
0.0002 | -50.00% | |
0.0000002178 | -0.82% | |
0.000000000040 | -42.03% | |
1.051 | -5.91% | |
0.0192 | -45.30% | |
0.00046 | -6.12% | |
0.00000000000288 | 0.35% | |
0.0768 | -7.80% | |
0.001999 | -10.20% | |
0.0000021 | -84.78% | |
0.00000286 | -2.72% | |
0.00000000000423 | -0.24% | |
0.00083 | -19.42% | |
0.0000000187 | -4.59% | |
0.0001320 | 28.16% | |
0.00995 | -0.50% | |
0.001035 | 47.65% | |
0.000064 | 72.97% | |
0.00000000054 | 0.00% | |
0.000042 | 2.44% | |
0.0730 | -7.01% | |
0.000000000103 | -5.50% | |
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% | |
0.000082 | 3.80% | |
0.00000011 | 37.50% | |
0.00004398 | 0.00% | |
0.0663 | 2.63% | |
0.01805 | -4.09% | |
0.000709 | -4.83% | |
1.1097 | -1.40% | |
0.5388 | -0.41% | |
0.09319 | -3.35% | |
0.00013 | 8.33% | |
0.000891 | -13.83% | |
0.001296 | 1.73% | |
1.4717 | -4.97% | |
58.5600 | 0.00% | |
0.00004328 | -1.75% | |
0.0459 | -16.09% | |
0.002108 | -7.99% | |
0.02906 | -0.10% | |
0.001802 | -7.16% | |
0.0006713 | 2.76% | |
0.003179 | -7.86% | |
0.00385 | 0.00% | |
0.0009012 | 0.00% | |
0.0000119 | 0.00% | |
0.0003995 | 1.32% | |
0.0007993 | 0.00% | |
5.961 | -2.26% | |
0.0000329 | 0.00% | |
0.003393 | 6.93% | |
0.000027 | 3.85% | |
0.011108 | 2.73% | |
0.002596 | -11.52% | |
0.002272 | -6.62% | |
1899.00 | 0.00% | |
0.4104 | -0.24% | |
0.1166 | -10.99% | |
0.04305 | -9.23% | |
0.000115 | -4.96% | |
0.4933 | -9.97% | |
0.000758 | 2.85% | |
0.1300 | -7.14% | |
0.000001969 | 3.63% | |
1.255 | -1.72% | |
0.0396 | 1.02% | |
0.001140 | -6.10% | |
0.02738 | -2.25% | |
0.00208 | -0.95% | |
0.000119 | 0.00% | |
0.0816 | 5.84% | |
0.00978 | 1.03% | |
2.80 | -6.67% | |
1.000000 | 0.00% | |
0.1697 | -2.86% | |
0.3771 | 0.00% | |
0.550 | -7.41% | |
0.5732 | 0.00% | |
48.492 | -0.32% | |
1.784 | -1.71% | |
2.665 | -2.56% | |
0.000000043 | -57.00% | |
0.1321 | -5.44% | |
0.06942 | -2.42% | |
0.637 | -3.63% | |
0.6479 | -4.09% | |
0.0700 | 0.00% | |
0.00000000015708 | 0.00% | |
0.001103 | -3.67% | |
0.00000080 | 0.00% | |
0.1648 | -3.34% | |
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% | |
0.2153 | 0.65% | |
0.0383 | -4.49% | |
0.000367 | -4.68% | |
0.0071 | 0.00% | |
0.01555 | -3.42% | |
0.000210 | 0.00% | |
0.00782 | -1.39% | |
2.015 | -4.32% | |
0.1512 | -3.69% | |
6.72 | -5.22% | |
0.0411 | -4.42% | |
0.000452 | 0.00% | |
0.230000 | 0.00% | |
0.000000002281 | -7.24% | |
0.000194538 | 1.89% | |
0.00000043 | 0.00% | |
0.1204 | 0.00% | |
2.748 | 3.46% | |
1.033 | -2.27% | |
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% | |
0.2464 | -0.12% | |
0.000902 | 0.00% | |
0.0237 | 1.72% | |
0.000000000740 | 1.65% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00012800 | 37.63% | |
0.000449 | -1.32% | |
0.004025 | 0.00% | |
0.0117 | 0.86% | |
9.637 | -0.82% | |
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 | 4.35% | |
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% | |
0.004333 | 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% | |
0.0907 | -0.44% | |
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% | |
0.01376 | -1.15% | |
0.0000087 | 3.57% | |
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% | |
1.3470 | 3.01% | |
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% | |
0.02643 | 1.93% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02614 | -4.46% | |
0.4235 | -1.21% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
0.0091 | 0.00% | |
0.0301 | -4.14% | |
0.546 | 4.20% |