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 .
מילוני מונחים פופולריים
קריאות קשורות
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0.739 | -1.60% | |
0.4185 | -13.64% | |
0.00539 | -10.02% | |
0.00283 | -1.39% | |
0.00001117 | 2.67% | |
0.1795 | 0.00% | |
0.000855 | -0.35% | |
0.09792 | -3.31% | |
0.00000738 | 3.36% | |
0.3381 | -3.54% | |
0.004317 | 5.19% | |
0.008087 | 0.60% | |
1295 | 0.54% | |
0.0002257 | 2.08% | |
0.000000001275 | 0.00% | |
0.00402 | -11.26% | |
0.734 | -2.26% | |
0.001957 | -15.28% | |
0.062984 | 0.52% | |
0.01746 | -0.80% | |
0.1906 | 0.37% | |
0.005483 | -5.12% | |
0.0002200 | -1.79% | |
0.00183 | 2.81% | |
0.0000577 | -11.09% | |
0.000000046883 | 0.84% | |
0.06219 | -0.92% | |
0.0003691 | -24.16% | |
0.004923 | -1.05% | |
2.7237 | 0.93% | |
0.6889 | 22.15% | |
0.00000006430 | -0.17% | |
0.1700 | 2.04% | |
0.000261 | -11.53% | |
1.1162667 | -2.73% | |
0.00357 | 0.00% | |
0.000352 | -1.12% | |
0.3471 | -1.39% | |
0.00001608 | 6.56% | |
0.0040 | 0.00% | |
0.3440 | -7.18% | |
6.8728 | -2.83% | |
0.000721 | -9.99% | |
0.000387 | -0.51% | |
0.2000 | -2.82% | |
0.002686 | -3.83% | |
1.0233 | -4.76% | |
0.7027 | 0.92% | |
303.4 | 0.66% | |
0.02240 | -1.54% | |
0.000755 | 9.26% | |
0.001560 | -1.27% | |
0.007453 | -1.17% | |
0.0597 | 1.70% | |
0.0029690 | -0.90% | |
9.719 | -0.86% | |
0.01464 | -0.34% | |
0.1039 | 0.00% | |
0.56810 | 4.40% | |
0.00914 | 3.75% | |
9.1204 | -8.81% | |
0.01292 | 8.75% | |
4.360 | 0.55% | |
0.002966 | -13.12% | |
1.7175 | 5.05% | |
0.0000552 | 34.63% | |
0.00888 | 8.42% | |
0.0168 | -16.00% | |
0.00460 | 2.22% | |
0.0418 | -1.65% | |
16.9864 | -1.33% | |
0.02889 | -3.18% | |
0.0114 | 8.57% | |
0.00001970 | -1.15% | |
0.0000434 | 52.28% | |
15.79 | -5.79% | |
0.00006757 | 0.70% | |
0.2389 | -1.89% | |
0.01464 | -1.81% | |
0.01083 | -6.48% | |
0.0239 | 0.42% | |
4.6526 | -6.04% | |
4.861 | -6.32% | |
1.7313 | 0.32% | |
0.000708 | 18.00% | |
0.00309700 | 1.74% | |
0.0147 | 14.84% | |
0.0594 | -2.78% | |
0.00013797 | 23.53% | |
0.00000624 | -3.85% | |
0.4463 | 0.31% | |
0.001185 | -0.92% | |
0.3358 | -0.27% | |
0.01073 | -1.83% | |
0.00101 | 0.00% | |
0.000000001708 | 4.91% | |
0.1064 | -1.30% | |
0.0000943 | -1.77% | |
0.01037 | 0.29% | |
0.01250 | -0.08% | |
0.0062 | -4.62% | |
0.0824 | -4.07% | |
0.0004179 | 12.04% | |
0.000001463 | 6.94% | |
0.012160 | 0.00% | |
0.00004493 | -17.68% | |
0.0002963 | 6.20% | |
0.000030 | -26.83% | |
0.0464 | -7.01% | |
0.0000156 | 8.33% | |
0.02300 | 2.31% | |
0.0000000131 | -1.50% | |
0.405 | -1.94% | |
0.459 | -2.75% | |
0.0262 | 0.00% | |
0.01758 | -1.90% | |
0.5907 | 1.37% | |
0.00194 | 487.88% | |
0.1658 | -3.44% | |
0.04235 | -3.11% | |
0.06814 | -2.15% | |
0.01750 | 1.57% | |
0.0009530 | 7.61% | |
0.0000240 | -0.41% | |
0.000100 | 9.89% | |
0.0000000736 | -12.90% | |
0.0018552 | -4.78% | |
0.2076 | -10.48% | |
0.04731 | -7.98% | |
0.000441 | -55.41% | |
0.001939 | -3.15% | |
0.0000000381 | 0.79% | |
0.015910 | -14.27% | |
4.37 | -5.21% | |
2.164 | -4.88% | |
0.02386 | -15.06% | |
0.02893 | 5.35% | |
13.01 | 4.00% | |
0.0474 | -1.46% | |
0.00914 | -1.61% | |
0.001729 | -4.32% | |
31.0000 | 0.00% | |
0.3326 | -3.00% | |
0.0002437 | 0.70% | |
0.00600 | -1.48% | |
0.7591 | 14.89% | |
8.29 | -1.78% | |
0.002570 | 2.80% | |
0.011059 | -0.40% | |
2.909 | -0.51% | |
0.005264 | -2.77% | |
0.0004628 | -10.45% | |
0.000345 | 15.38% | |
6.2788 | 0.00% | |
0.00521 | -2.62% | |
0.4385 | -5.25% | |
0.0209 | -9.13% | |
0.04099 | -0.15% | |
0.00856 | -4.46% | |
0.1016 | -3.79% | |
0.000818 | -3.31% | |
0.0100 | -1.96% | |
0.002726 | -1.05% | |
0.505 | -3.81% | |
0.0642 | 2.88% | |
0.06220 | 1.14% | |
0.003111 | -11.14% | |
0.002252 | -2.97% | |
0.02421 | -6.74% | |
14.28 | -6.30% | |
0.04285 | -6.40% | |
0.01029 | -6.45% | |
0.2389 | -2.69% | |
0.006252 | -2.78% | |
0.530 | -1.49% | |
0.0176 | 7.32% | |
0.1197 | -3.78% | |
0.06115 | 2.12% | |
0.2838 | -8.39% | |
0.0003642 | 6.83% | |
0.1304 | -2.03% | |
0.03320 | -4.71% | |
0.02720 | 3.42% | |
0.012686 | -0.98% | |
0.249905 | -0.17% | |
1.466 | -14.42% | |
0.006292 | 8.02% | |
0.000218 | -1.36% | |
0.0795 | -0.63% | |
0.0000574 | -9.03% | |
0.000183 | -17.57% | |
0.001675 | -0.83% | |
0.5414 | -0.28% | |
0.00000001394 | 4.65% | |
0.00000001139 | -0.26% | |
0.0051 | 96.15% | |
0.1059 | -7.67% | |
0.011999 | 0.11% | |
20.37 | 7.32% | |
0.01290 | 0.39% | |
0.2861 | -3.61% | |
0.000194315 | -3.14% | |
3.396 | -1.99% | |
0.00000012923 | -1.71% | |
0.0000000001865 | 2.25% | |
0.0000000505 | 8.60% | |
0.00000000001216 | -10.52% | |
0.002345 | -6.12% | |
6.36 | -0.63% | |
0.001504 | 6.97% | |
139.85 | -0.74% | |
0.00200 | 47.06% | |
26.69 | -0.52% | |
0.00000003478 | -1.42% | |
0.002861 | -2.62% | |
0.0506 | -2.13% | |
0.0001886 | 2.78% | |
0.00557 | -7.32% | |
5.298 | -0.09% | |
0.00643 | -7.08% | |
0.0095 | 1.06% | |
0.0087 | -13.00% | |
0.000917 | -15.17% | |
0.1904 | -5.23% | |
0.024206 | -0.56% | |
0.7607 | -0.08% | |
0.001935 | 1.15% | |
0.0000000761 | 5.11% | |
0.0511 | -40.86% | |
0.004254 | -14.08% | |
0.00000344 | -3.64% | |
0.003056 | -36.99% | |
0.0970 | 0.62% | |
0.00000391 | -6.68% | |
0.0004030 | 3.20% | |
0.002750 | 0.00% | |
0.002672 | 12.55% | |
0.04270 | -0.28% | |
0.004165 | 3.94% | |
0.01389 | -6.28% | |
0.03276 | -3.79% | |
0.0002545 | 0.00% | |
0.002900 | 38.10% | |
0.09107 | 0.02% | |
0.0003357 | 7.29% | |
0.00016 | -20.00% | |
0.03728 | 3.04% | |
0.0000002497 | -0.60% | |
0.591 | 0.34% | |
0.1190 | 0.34% | |
0.02598 | -1.22% | |
0.0578 | -0.34% | |
0.000843 | -3.99% | |
0.01158 | -3.50% | |
0.003038 | -4.38% | |
0.00000001463 | 5.40% | |
0.0388 | 1.84% | |
0.002139 | -4.42% | |
0.000784 | -2.97% | |
0.0529 | -7.19% | |
0.003033 | -19.18% | |
0.0000020 | 0.00% | |
0.0000544 | -0.55% | |
0.1398 | -3.39% | |
0.00228 | -1.72% | |
6.2426 | 0.23% | |
0.0029 | 16.00% | |
0.01620 | -5.43% | |
0.475 | 0.00% | |
0.0051079 | 0.01% | |
0.00940 | -16.00% | |
0.01207 | 3.78% | |
0.01934 | -2.96% | |
0.001521 | -0.72% | |
0.0090 | 80.00% | |
1.705 | -1.73% | |
56.89 | -3.10% | |
0.300 | -1.96% | |
2.130 | 3.85% | |
0.000098 | 22.50% | |
0.10249 | -4.88% | |
0.523 | 1.36% | |
16.77 | 1.57% | |
0.030014 | -1.37% | |
0.0001982 | -2.22% | |
0.002584 | 27.86% | |
0.0098 | -4.85% | |
0.000261 | 0.00% | |
0.694 | -1.42% | |
0.00000000003306 | -0.09% | |
0.000067 | 21.82% | |
0.5034 | -4.24% | |
0.000504 | -3.26% | |
0.002895 | -28.22% | |
0.01105 | -1.34% | |
0.754 | -2.46% | |
0.00000013002 | -52.55% | |
0.1222 | -2.08% | |
0.000000000226 | -1.74% | |
0.0282 | -6.31% | |
0.017330 | -2.33% | |
0.1830 | -1.98% | |
0.2390 | -1.36% | |
0.003260 | -2.89% | |
0.00838 | -3.57% | |
0.00000000000344 | -19.81% | |
0.00698 | -3.99% | |
0.00206 | -1.90% | |
0.0000082 | -3.53% | |
0.003078 | -2.38% | |
0.007994 | -0.05% | |
0.0480 | -1.84% | |
0.0815 | -4.12% | |
10.96 | -0.09% | |
0.8401 | -2.96% | |
0.05633 | -5.83% | |
0.003829 | -3.55% | |
0.7765 | -3.17% | |
0.0000039 | 0.00% | |
0.04480 | -0.44% | |
0.00003813 | -17.11% | |
0.01372 | 1.03% | |
0.0528 | -1.31% | |
0.000000094 | -2.08% | |
0.00003182 | 0.00% | |
0.001649 | -3.51% | |
0.001200 | -2.44% | |
0.000241 | -3.60% | |
0.01081 | 0.84% | |
0.001016 | -1.36% | |
0.000503 | -5.81% | |
0.000483 | -0.82% | |
0.004671 | -2.75% | |
1.299 | -0.92% | |
0.0749 | -5.90% | |
0.0889 | -1.66% | |
0.00000282 | -1.40% | |
0.0000093 | 13.41% | |
22.569 | 1.31% | |
0.1081 | -1.91% | |
4.792 | -0.37% | |
0.000875 | 5.68% | |
0.1696 | -0.76% | |
0.003237 | 6.41% | |
0.000000000000823 | -7.74% | |
0.000588 | -3.29% | |
0.0000016449 | 0.00% | |
0.00010000 | -9.08% | |
0.01783 | -16.72% | |
0.00003412 | -0.06% | |
0.000001846 | -10.65% | |
0.0000000000000136 | 3.03% | |
0.0548 | -2.66% | |
0.00859 | 1.66% | |
0.03655 | -4.14% | |
0.014427 | -2.16% | |
48.072 | -0.07% | |
0.648 | -1.97% | |
0.02595 | -2.81% | |
0.1852 | -1.54% | |
0.6484 | -0.34% | |
0.001097 | -9.56% | |
0.0000000626 | 7.93% | |
1.902 | -2.26% | |
0.0005114 | -1.29% | |
0.000000447 | 1.13% | |
0.02700 | 0.00% | |
0.07332 | -7.33% | |
0.0000564 | -2.59% | |
0.0593 | -2.63% | |
0.0155 | 4.73% | |
0.000001458 | -0.48% | |
0.0047 | -7.84% | |
0.00220 | 11.68% | |
0.0412 | -54.77% | |
0.000862 | -0.23% | |
0.2440 | -0.73% | |
0.5040 | 1.25% | |
0.01036 | -3.99% | |
0.00003580 | 16.38% | |
0.1681 | -4.49% | |
0.0000086 | 86.96% | |
0.0006306 | 2.69% | |
0.0007138 | 0.41% | |
0.1886 | -0.79% | |
0.4275 | 1.28% | |
0.001288 | -0.62% | |
0.000000000001524 | 2.28% | |
15.87 | 0.57% | |
0.00743 | -2.62% | |
0.003497 | 1.07% | |
13.03 | -2.69% | |
0.00008930 | -1.95% | |
0.05267 | -8.00% | |
0.00000016200 | -16.92% | |
0.0391 | -5.33% | |
0.1148 | -2.38% | |
0.0993 | -14.69% | |
0.001105 | 1.38% | |
0.000450 | -13.46% | |
2.055 | -5.91% | |
0.00002223 | -4.30% | |
0.00000000189 | 4.42% | |
12.01 | -1.23% | |
0.00814 | 4.36% | |
0.4136 | 1.27% | |
0.1090 | 3.42% | |
1.1930 | -2.24% | |
5.39 | -0.92% | |
0.00000867 | 0.00% | |
0.00843 | 9.62% | |
0.000024 | -14.29% | |
0.0111 | 0.00% | |
0.9298 | -0.82% | |
0.6484 | -4.75% | |
0.05196 | -3.55% | |
0.0411 | -2.14% | |
0.0000008 | 33.33% | |
0.00003 | 0.00% | |
0.0747 | -3.86% | |
2.300 | 2.68% | |
0.00484 | 1.26% | |
0.0000002158 | 4.05% | |
0.0995 | -2.64% | |
0.0811 | -5.92% | |
0.03906 | -1.76% | |
0.00808 | -7.34% | |
0.000844 | -1.06% | |
0.0629 | -3.68% | |
0.00285 | -3.06% | |
0.1873 | -0.95% | |
0.04971 | -1.80% | |
0.1020 | -0.78% | |
0.01133 | 0.80% | |
0.0657 | -4.23% | |
0.380 | 0.00% | |
0.0240 | -4.76% | |
0.008050 | 8.77% | |
0.000000002042 | 6.02% | |
0.641 | 5.78% | |
0.0055 | -20.29% | |
0.06024 | 1.36% | |
0.002874 | -2.81% | |
1.375 | -0.51% | |
0.000030 | -21.05% | |
0.1154 | -3.75% | |
0.0002201 | 0.05% | |
0.9746 | 0.00% | |
0.0000000030216 | 0.00% | |
15.85 | -0.50% | |
0.00150 | -0.66% | |
0.1639 | -1.92% | |
0.001623 | -12.46% | |
0.1114 | -1.76% | |
0.00006800 | 54.62% | |
0.01140 | -4.60% | |
39.33 | 0.56% | |
8.09 | -2.76% | |
0.587 | 2.98% | |
0.0000506 | 0.80% | |
0.05575 | 0.00% | |
0.0772 | -1.53% | |
0.01483 | -2.43% | |
0.000092 | 1.10% | |
0.01312 | -3.81% | |
0.7939 | 0.52% | |
68.5 | -0.72% | |
0.000068 | 119.35% | |
0.03237 | -2.79% | |
0.003934 | -0.05% | |
0.003929 | 1.03% | |
0.02620 | -8.46% | |
0.1037 | -1.05% | |
1.2158 | -0.85% | |
0.0000512 | -19.24% | |
0.000433 | 0.46% | |
0.578 | -2.53% | |
0.001312 | -2.16% | |
0.0926 | -10.10% | |
0.00149 | -21.16% | |
0.0000221 | -25.08% | |
0.2049 | -2.75% | |
0.0097 | 64.41% | |
0.000350 | 0.57% | |
0.0076 | 10.14% | |
0.0001708 | 5.24% | |
0.0728 | -1.22% | |
0.00072 | -11.11% | |
0.00000000000189 | -17.11% | |
0.000353 | -13.69% | |
0.0009 | 0.00% | |
0.02648 | -4.82% | |
0.00000000001765 | -6.27% | |
0.001148 | 1.32% | |
0.0005454 | -0.44% | |
0.741 | -4.88% | |
0.00091 | 2.25% | |
0.008231 | 0.00% | |
0.0003808 | -5.49% | |
0.000000000705 | -2.22% | |
0.0175 | 16.67% | |
0.00755 | 0.00% | |
0.00000000000871 | 33.59% | |
15.99 | -2.26% | |
0.0006478 | 1.84% | |
0.1526 | -4.98% | |
0.000288 | -7.10% | |
1.918 | -3.08% | |
0.00000006 | -45.45% | |
1.0230 | -4.04% | |
0.0383 | -30.36% | |
0.00000000000015 | -21.05% | |
0.0326 | -3.26% | |
0.0012 | 20.00% | |
9.138 | 0.36% | |
0.4450 | 0.00% | |
0.006500 | 116.67% | |
17.8750 | -5.64% | |
0.01424 | -2.33% | |
0.1493 | -1.97% | |
0.01530 | -0.58% | |
0.000164 | -4.65% | |
0.648 | -0.92% | |
0.2103 | 0.38% | |
0.00004728 | 3.41% | |
0.000561 | 0.00% | |
0.01454 | -0.07% | |
0.0304 | 4.47% | |
0.2109 | 0.57% | |
449.00 | -0.22% | |
0.00006 | 0.00% | |
0.00121 | -17.69% | |
15.45 | 0.59% | |
0.0073 | -13.10% | |
0.1860 | -0.59% | |
0.000001750 | -20.09% | |
0.00012 | 9.09% | |
0.1429 | -1.24% | |
0.0005 | 0.00% | |
0.00030000 | 0.00% | |
0.0005876 | -1.67% | |
0.0000055 | -1.79% | |
1.226 | -3.08% | |
0.005589 | -5.67% | |
0.0000119 | 0.00% | |
0.04057 | 18.63% | |
0.000001656 | 4.09% | |
0.00004017 | -8.52% | |
0.1648 | -1.61% | |
0.0353 | -9.72% | |
0.249 | 0.00% | |
0.0043 | 2.38% | |
0.0003967 | -0.90% | |
0.0101 | 2.02% | |
0.003328 | 26.16% | |
0.0003048 | -1.49% | |
0.000022 | -4.35% | |
0.004149 | -1.36% | |
0.0000192 | -9.00% | |
0.1674 | -2.22% | |
0.3188 | -13.98% | |
0.0002998 | -14.22% | |
0.0006 | 0.00% | |
0.002028 | -0.10% | |
0.003512 | -9.48% | |
0.0001 | 0.00% | |
0.0000000000000159 | -4.22% | |
0.01502 | -1.25% | |
0.00000000000013 | -7.14% | |
0.1147 | -3.53% | |
0.00113 | 0.00% | |
0.002132 | -4.35% | |
0.02049 | 9.69% | |
2.363 | -9.08% | |
0.000454 | 0.44% | |
0.1215 | -3.57% | |
0.01708 | -1.10% | |
0.2375 | -4.08% | |
0.0015 | -16.67% | |
0.0000579 | 0.00% | |
0.0071 | 0.00% | |
0.2166 | 0.00% | |
0.00679 | -0.29% | |
1.72 | 0.00% | |
0.00008822 | 0.60% | |
0.001200 | 0.00% | |
0.000000000004640 | 18.37% | |
0.0214 | -1.83% | |
0.000092 | 0.00% | |
0.0293 | -1.68% | |
0.001564 | -3.04% | |
0.0296 | -8.64% | |
0.02100 | 32.08% | |
0.0984 | -0.30% | |
0.00000000000231 | -11.15% | |
0.1190 | -0.42% | |
0.03760 | 0.51% | |
0.004390 | -12.20% | |
0.0023 | 0.00% | |
0.000000000022 | 57.14% | |
0.0000076 | -5.00% | |
0.0951 | -1.86% | |
0.000000000785 | 1.16% | |
0.0000002930 | 0.17% | |
0.000000000099 | -11.61% | |
0.9900 | 0.00% | |
0.04831 | 9.92% | |
0.00069 | 9.52% | |
0.00639 | -17.65% | |
0.000063 | 1.61% | |
0.07078 | -4.26% | |
0.003225 | -2.66% | |
0.0005856 | 1.65% | |
0.1520 | 0.00% | |
0.00150 | -11.76% | |
0.000265 | 0.00% | |
0.000000001868 | 0.00% | |
0.0000006594 | 0.00% | |
0.1144 | -3.30% | |
0.000000000784 | 2.62% | |
0.00000000000102 | 0.99% | |
0.00000000001035 | -6.76% | |
0.001588 | -2.64% | |
0.2464 | -0.04% | |
0.000000000009 | 0.00% | |
0.0000996 | -9.45% | |
0.0759 | -2.82% | |
0.0003396 | -3.74% | |
0.0000201 | -58.39% | |
0.2601 | -0.61% | |
0.2644 | -1.31% | |
0.00000000031 | -39.22% | |
0.000022 | 0.00% | |
0.00000000021868 | 37.52% | |
0.0000000042 | -6.67% | |
1.796 | -1.16% | |
0.00781 | 3.31% | |
0.00000000003570 | -1.63% | |
0.00400 | 3.90% | |
0.000000000447 | -14.86% | |
0.0103 | 0.00% | |
0.000000038 | 2.70% | |
0.0009 | 50.00% | |
0.00000240 | 1.69% | |
0.00023474 | -1.56% | |
0.000055 | -1.79% | |
0.0000111 | 0.00% | |
0.0408 | -1.69% | |
0.00000150 | 5.63% | |
0.000024 | 33.33% | |
0.00204 | 1.49% | |
0.000035 | -43.55% | |
0.00004 | 0.00% | |
0.01428 | 8.59% | |
0.000701 | 10.92% | |
0.0009 | -40.00% | |
0.000000008399 | -0.01% | |
0.0615 | -3.91% | |
0.00000057 | 11.76% | |
0.00022 | -8.33% | |
0.0001320 | 0.00% | |
0.000110 | -23.61% | |
0.00000000000094 | 1.08% | |
0.00000011 | 0.00% | |
1.253 | -1.10% | |
0.0641 | -1.38% | |
0.0597 | 1.70% | |
0.0005376 | -2.63% | |
0.000663 | 0.76% | |
0.2706 | -2.63% | |
0.3006 | 0.70% | |
0.3558 | 0.42% | |
0.01191 | -1.81% | |
0.5336 | 1.46% | |
0.4224 | -1.79% | |
0.09162 | -1.81% | |
0.02812 | 4.96% | |
0.2666 | -1.33% | |
0.2801 | -1.55% | |
0.00011 | -8.33% | |
0.002116 | -0.33% | |
1.003 | -2.43% | |
0.2115 | -2.35% | |
58.5600 | 0.00% | |
0.001018 | -8.04% | |
0.0001451 | 0.07% | |
0.0465 | 4.49% | |
5.924 | -5.73% | |
0.000885 | -4.53% | |
0.02842 | -0.35% | |
0.0735 | -6.13% | |
17.965 | 1.27% | |
0.004613 | 2.26% | |
0.0009012 | 0.00% | |
0.17345 | 2.44% | |
0.005176 | -0.77% | |
0.00699 | 0.00% | |
0.0007993 | 0.00% | |
6.055 | 0.90% | |
0.2163 | 7.40% | |
0.001708 | -4.15% | |
0.02566 | -10.87% | |
0.001208 | -6.86% | |
0.01780 | -1.28% | |
2.6049 | -2.01% | |
0.002883 | 2.45% | |
0.02038 | 4.30% | |
0.0000467 | 0.00% | |
0.002380 | -7.82% | |
0.002299 | -9.63% | |
0.0013 | 0.00% | |
0.4110 | -0.12% | |
0.000113 | 0.00% | |
0.4840 | -0.82% | |
0.000875 | 4.42% | |
0.1202 | -3.76% | |
0.02627 | -2.60% | |
0.00400 | 1.78% | |
0.00483 | 13.11% | |
0.0735 | -13.63% | |
0.00907 | -3.41% | |
3.8900 | 0.00% | |
0.001113 | -1.33% | |
0.1027 | -3.66% | |
0.1706 | -3.18% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.0489 | -2.78% | |
2.697 | -2.99% | |
0.000000049 | 0.00% | |
0.1322 | -1.20% | |
0.00083 | 0.00% | |
0.606 | -2.26% | |
0.6298 | 1.08% | |
0.0697 | -2.24% | |
0.0733 | -1.74% | |
0.001094 | -0.09% | |
0.00000080 | 0.00% | |
0.00000000000041 | 0.00% | |
0.000216 | 0.00% | |
0.444 | -0.45% | |
1.415 | -0.77% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0768 | -2.41% | |
1.1371 | 0.00% | |
0.859 | -0.23% | |
0.003807 | -3.20% | |
5.546 | -0.63% | |
0.000077 | -1.28% | |
0.02199 | -2.09% | |
0.4424 | 0.00% | |
0.0321 | -5.59% | |
0.0367 | 1.10% | |
0.000357 | -2.99% | |
0.1964 | -1.31% | |
0.0071 | 0.00% | |
0.301 | 0.00% | |
0.000210 | 0.00% | |
0.0224 | 0.00% | |
0.1472 | -0.07% | |
6.59 | -1.35% | |
0.003872 | 0.39% | |
0.2300 | -2.04% | |
0.000452 | 0.00% | |
0.1962 | -2.49% | |
0.000000002438 | 0.79% | |
0.000191114 | 2.09% | |
0.00000043 | 4.88% | |
0.1204 | 0.00% | |
2.704 | -0.37% | |
1.032 | 0.00% | |
0.004000 | 0.00% | |
0.000300 | 0.00% | |
0.00035 | 0.00% | |
0.011926 | 0.00% | |
0.0000193 | 0.00% | |
0.4593 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.001880 | 0.00% | |
0.0063 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001013 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.000522 | 8.52% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.0113 | -1.74% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000006 | 0.00% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000106 | 0.00% | |
0.000000000375 | 0.00% | |
0.0063 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.0055 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.001000 | 0.00% | |
0.001000 | 0.00% | |
0.000058 | 0.00% | |
1.6799 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.0007774 | -0.50% | |
0.000112 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0195 | 0.00% | |
0.05056 | 0.00% | |
0.000024 | 0.00% | |
0.001234 | 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% | |
0.006490 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.001000 | 0.00% | |
0.0192 | 0.00% | |
0.0006 | 0.00% | |
0.0786 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.001801 | 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% | |
0.00008773 | 0.00% | |
0.0131 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.001120 | 0.00% | |
0.000412 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.001815 | -2.42% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000204 | 2.51% | |
0.000258 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.013728 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.004303 | 3.59% | |
1.76670591 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.000835 | 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% | |
0.0650 | 0.00% | |
0.00125 | 0.00% | |
1.0100 | 0.00% | |
0.010200 | 0.00% | |
0.88686 | 0.00% | |
0.03644 | 0.00% | |
0.0000164 | 0.00% | |
0.1723 | 0.00% | |
0.01463 | 0.00% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.001800 | 0.00% | |
0.00126 | 0.00% | |
0.000001000 | 0.00% | |
104.52 | 0.00% | |
0.0000008 | 0.00% | |
1.3369 | 2.37% | |
0.00390 | 0.00% | |
0.0000194 | 0.00% | |
0.0000325 | 0.00% | |
1.0000 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.0005 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.0000023 | 0.00% | |
0.000000005 | 0.00% | |
0.001200 | 0.00% | |
0.001518 | 0.00% | |
0.000313 | 0.00% | |
0.0000032 | 0.00% | |
0.0007000 | 0.00% | |
0.00200 | 0.00% | |
0.000000000568 | 0.00% | |
0.0048 | 0.00% | |
0.3905 | 0.00% | |
0.000495 | 0.00% | |
0.00046 | 0.00% | |
0.00041 | 0.00% | |
0.00013699 | 0.00% | |
0.0000063 | 0.00% | |
0.001745 | 0.00% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000506 | 0.00% | |
1939.10 | 0.00% | |
0.01030 | 0.00% | |
3.7449 | 0.00% | |
0.00233 | 0.00% | |
0.00070 | 0.00% | |
0.0000269 | 0.00% | |
0.0000000500 | 0.00% | |
0.0000001300 | 0.00% | |
0.000900 | 0.00% | |
0.000426832 | 0.00% | |
0.00002803 | 0.00% | |
0.0810 | 0.00% | |
0.0000245 | 0.00% | |
0.000064 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.0030487 | 0.00% | |
0.000003726 | 0.00% | |
0.000510 | 0.00% | |
0.00200 | 0.00% | |
0.0001100 | 0.00% | |
0.0602 | 2.21% | |
0.3101 | 0.00% | |
1.4371 | 0.00% | |
0.0002100 | 0.00% | |
0.00236 | 0.00% | |
0.0000257 | 0.00% | |
0.00625 | 0.00% | |
0.6003 | 0.00% | |
1899.00 | 0.00% | |
0.002686 | 0.00% | |
0.250 | 0.00% | |
0.3310 | -1.25% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00975 | -0.51% | |
0.00538 | 0.00% | |
0.4265 | -0.70% | |
5155.00 | 0.00% | |
1.178 | -1.17% | |
1.321 | -0.45% | |
0.0091 | 0.00% |