How does zk-DID (Zero-Knowledge Decentralized Identity) technically work?
How zk-DID (Zero-Knowledge Decentralized Identity) Technically Works
In an increasingly digital world, the need for secure and private identity management has never been more critical. Zero-Knowledge Decentralized Identity (zk-DID) emerges as a groundbreaking solution that allows individuals to prove their identity without disclosing sensitive information. This article delves into the technical workings of zk-DID, exploring its key components, protocol flow, security benefits, and potential applications.
1. Understanding Decentralized Identity (DID)
A Decentralized Identifier (DID) serves as a unique identifier for individuals or entities within a blockchain or decentralized network. Unlike traditional identifiers managed by centralized authorities, DIDs are controlled by the individual themselves. This self-sovereignty empowers users to manage their identities across various applications and services without relying on third-party intermediaries.
2. The Role of Zero-Knowledge Proofs
At the heart of zk-DID lies zero-knowledge proofs—mathematical constructs that enable one party to demonstrate the truth of a statement without revealing any underlying data. These proofs are essential for maintaining privacy while allowing verification processes to occur securely.
The two primary types of zero-knowledge proofs utilized in zk-DIDs are:
- zk-SNARKs: Zero-Knowledge Succinct Non-Interactive Argument of Knowledge is known for its efficiency and compactness in proof generation.
- zk-STARKs: Zero-Knowledge Scalable Transparent Argument of Knowledge offers scalability advantages and does not require a trusted setup phase.
3. Cryptographic Techniques Underpinning zk-DIDs
The effectiveness of zk-DIDs relies on several cryptographic techniques that ensure secure communication and data integrity:
- Public-Key Cryptography: This technique facilitates secure communication between parties through asymmetric encryption methods where each user possesses both public and private keys.
- Hash Functions: Hash functions create unique identifiers from input data while ensuring data integrity through irreversible transformations.
- Homomorphic Encryption:This advanced form of encryption allows computations on encrypted data without needing decryption first, enhancing privacy during processing operations.
4. Protocol Flow: How zk-DID Operates
The operational flow of zk-DID can be broken down into several key steps that illustrate how users interact with this technology effectively:
- Initialization:
The user generates their DID along with a corresponding private key stored securely on their device or wallet. - Create Verification Proof:
The user constructs a zero-knowledge proof demonstrating possession of their private key while keeping it confidential from external parties. - User Interaction with Service Provider:
The service provider requests verification from the user based on specific criteria related to access or authentication needs. - Pseudonymous Verification Process:
The service provider verifies the user's proof using cryptographic methods without gaining access to any personal information about them—ensuring anonymity throughout this process.5 . Security Benefits Offered by zk - DID < p > The implementation o f z k - D I D provides numerous security advantages : < ul > < li >< strong > Privacy : Users ' sensitive information remains confidential , protecting them against potential breaches . < li >< strong > Anonymity : Individuals can maintain anonymity while still proving necessary aspects o f their identity , fostering trust in digital interactions . < li >< strong > Enhanced Security : The use o f zero - knowledge proofs guarantees that verification processes are robust , minimizing risks associated with identity theft or fraud . < / ul >
6 . Applications o f z k - D I D Technology < / h 2 > < p > The versatility o f z k - D I Ds opens doors t o various applications across industries : - < strong > Identity Verification : Secure login mechanisms enabling seamless authentication across platforms .
- < Strong > Compliance : Meeting regulatory requirements related t o privacy laws such as GDPR .
- < Strong > Trustless Interactions : Facilitating decentralized systems like blockchain where trust is established through cryptographic means rather than centralized authorities .
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مطالب مرتبط
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0.09870 | -1.06% | |
0.00000000008260 | 3.29% | |
0.7885 | 1.65% | |
0.000855 | -0.47% | |
0.004365 | 5.77% | |
0.1600 | -0.25% | |
0.000000001275 | 0.00% | |
2.7294 | 1.45% | |
0.0002198 | -2.70% | |
0.00000729 | 1.39% | |
0.000308 | 4.41% | |
0.00411 | -9.27% | |
0.008089 | 0.17% | |
0.005606 | -1.32% | |
0.000000047181 | 2.19% | |
0.744 | 0.95% | |
0.1921 | 2.56% | |
0.004952 | -0.26% | |
0.06200 | -0.03% | |
0.063405 | 1.65% | |
0.7145 | 38.23% | |
0.00000006467 | 2.33% | |
0.3381 | -2.23% | |
1.1224999 | -0.78% | |
0.000354 | -0.28% | |
0.3459 | -1.98% | |
0.00188 | 6.21% | |
0.7055 | 1.41% | |
0.0003649 | -15.18% | |
0.015517 | 3.04% | |
0.003042 | -4.88% | |
0.0040 | 0.00% | |
6.9425 | 0.92% | |
0.00001617 | 3.32% | |
0.2076 | 0.87% | |
0.000382 | -2.05% | |
0.002054 | -9.03% | |
1288 | 0.23% | |
0.002717 | -2.13% | |
1.7138 | 4.83% | |
0.546 | 7.27% | |
0.02266 | 1.52% | |
0.00349 | -1.97% | |
140.35 | 0.22% | |
0.02937 | 0.14% | |
0.61887 | 14.73% | |
0.007476 | -1.45% | |
0.3470 | 0.00% | |
0.0030100 | -0.33% | |
0.1062 | 3.51% | |
0.000727 | 1.82% | |
0.0002131 | -8.62% | |
0.01470 | 0.27% | |
0.00004400 | -19.38% | |
9.611 | 0.03% | |
0.000505 | -15.83% | |
9.1204 | -8.81% | |
0.01327 | 11.05% | |
0.000757 | 14.01% | |
0.2062 | -7.08% | |
4.400 | 2.95% | |
0.00000626 | -1.42% | |
16.5132 | -2.63% | |
13.50 | 9.67% | |
0.00460 | 2.22% | |
0.0426 | 1.67% | |
0.0000426 | 36.10% | |
0.0107 | -9.32% | |
0.0000503 | -2.14% | |
0.00006741 | 0.94% | |
0.00001990 | 0.96% | |
0.00145 | 43.56% | |
0.0239 | 0.42% | |
16.13 | -0.25% | |
0.2413 | 0.12% | |
0.01085 | -4.91% | |
0.00888 | 11.00% | |
0.0601 | 2.74% | |
4.8874 | -0.55% | |
0.0140 | 9.38% | |
1.7460 | 3.11% | |
0.470 | 1.08% | |
0.3480 | -1.86% | |
0.0605 | -0.82% | |
0.00013797 | -0.38% | |
0.4799 | 10.58% | |
1.0515 | 1.12% | |
4.860 | -2.82% | |
0.1089 | 2.35% | |
0.00229 | -1.29% | |
0.01247 | -0.24% | |
0.001171 | -4.10% | |
0.01094 | 1.77% | |
0.0002932 | 7.09% | |
0.000000001717 | 5.92% | |
0.0004141 | 14.49% | |
0.01066 | 3.39% | |
0.01507 | 3.57% | |
0.0831 | -1.07% | |
0.0062 | -4.62% | |
0.012160 | 0.00% | |
0.5501 | -12.42% | |
0.0000162 | 14.89% | |
0.0466 | -4.31% | |
0.0000945 | -2.58% | |
0.0009530 | 7.61% | |
0.00312546 | 3.58% | |
0.0000000130 | -5.11% | |
0.409 | -0.24% | |
0.01778 | 1.43% | |
0.000345 | 15.38% | |
0.00101 | 206.06% | |
0.04348 | 3.65% | |
0.01816 | 9.73% | |
305.5 | 3.17% | |
0.0000241 | -1.63% | |
0.00004011 | -12.80% | |
0.0264 | 2.72% | |
0.05100 | 0.22% | |
0.000098 | 7.69% | |
2.189 | -2.62% | |
0.0000000738 | -10.55% | |
0.0000580 | -0.34% | |
0.0018793 | -0.81% | |
0.001745 | -2.89% | |
0.001967 | 0.41% | |
0.0000000381 | 0.79% | |
0.015910 | -14.27% | |
0.3352 | 2.26% | |
0.02453 | -8.23% | |
4.44 | -2.42% | |
0.00929 | 10.33% | |
0.000452 | -42.27% | |
0.0481 | 1.69% | |
0.00929 | 1.53% | |
0.3326 | -3.00% | |
0.002329 | 16.28% | |
0.0002445 | 1.54% | |
0.00599 | -2.12% | |
2.952 | 2.79% | |
0.000202 | -8.60% | |
0.005388 | 0.24% | |
0.000822 | -0.24% | |
0.00949 | 6.51% | |
0.1658 | -6.01% | |
0.0806 | 2.15% | |
0.011307 | 3.88% | |
0.00528 | 0.76% | |
0.4425 | -3.19% | |
0.0207 | -5.91% | |
0.004219 | 8.60% | |
0.04040 | -1.61% | |
0.1023 | -1.25% | |
0.00000001138 | 1.61% | |
0.7591 | 14.89% | |
10.95 | 1.86% | |
0.002831 | 4.46% | |
0.0112 | 1.82% | |
0.02349 | 3.16% | |
0.510 | 0.00% | |
0.003111 | -11.14% | |
0.006341 | 0.32% | |
0.002265 | -0.35% | |
0.536 | 1.90% | |
0.01307 | 1.71% | |
15.38 | 4.55% | |
0.04345 | -3.27% | |
0.2389 | -2.69% | |
0.01066 | -0.74% | |
0.0178 | 9.20% | |
0.03366 | -1.52% | |
0.1214 | 1.85% | |
0.06126 | -0.73% | |
0.2906 | -3.62% | |
0.000001453 | 5.21% | |
0.02605 | 0.89% | |
0.0004035 | 25.98% | |
0.1322 | 1.23% | |
0.012748 | 1.31% | |
0.02801 | 2.83% | |
0.002573 | 7.84% | |
0.010991 | -8.31% | |
0.006265 | 7.55% | |
0.5479 | 2.66% | |
0.00000001395 | 6.49% | |
0.06220 | -8.53% | |
0.0000560 | -5.88% | |
0.1049 | -7.17% | |
0.000194315 | -3.14% | |
3.466 | 1.35% | |
0.02422 | -5.09% | |
0.249579 | -0.34% | |
0.000033 | -19.51% | |
0.0623 | -0.16% | |
0.0000000795 | 9.66% | |
0.00560 | -6.51% | |
0.001470 | 4.78% | |
0.00000000001280 | -12.45% | |
0.0000000001879 | 3.13% | |
0.002375 | -4.12% | |
6.50 | 3.34% | |
0.0543 | -5.73% | |
0.00200 | 47.06% | |
5.361 | 2.47% | |
27.07 | 2.15% | |
0.0511 | 1.39% | |
0.0095 | 4.40% | |
0.002891 | -0.17% | |
0.003102 | -2.33% | |
0.0001886 | 2.78% | |
0.0087 | -13.00% | |
0.00657 | -1.94% | |
0.2921 | -1.78% | |
0.1911 | -3.53% | |
20.60 | 10.57% | |
0.0511 | -40.86% | |
0.004303 | -13.80% | |
0.00000349 | 0.87% | |
0.0964 | 2.66% | |
0.00000398 | -5.01% | |
0.003978 | 2.39% | |
0.003539 | 3.09% | |
0.0004129 | 5.93% | |
0.0049 | 81.48% | |
0.001935 | 7.26% | |
0.002848 | 3.56% | |
0.0004626 | -10.71% | |
0.04381 | 3.69% | |
0.0602 | 2.21% | |
0.01447 | -3.28% | |
0.000891 | -8.71% | |
0.002900 | 38.10% | |
0.09217 | 1.25% | |
8.40 | 0.60% | |
0.0003359 | 3.48% | |
0.00016 | -20.00% | |
0.0002545 | 0.12% | |
6.3058 | 2.04% | |
0.03816 | 7.31% | |
0.00000013271 | 1.27% | |
0.000189 | -8.25% | |
0.0000002501 | 1.26% | |
0.0002001 | -0.74% | |
0.598 | 3.28% | |
31.0000 | 0.00% | |
0.7607 | -0.11% | |
0.003567 | -25.35% | |
0.01157 | -1.87% | |
0.000824 | -4.30% | |
0.01389 | 2.66% | |
0.0397 | 2.85% | |
0.4167 | 3.17% | |
2.206 | 8.67% | |
0.000777 | -3.84% | |
0.002185 | -3.36% | |
0.001711 | 4.20% | |
0.0000020 | 0.00% | |
0.0577 | -0.52% | |
0.0000544 | -0.37% | |
0.00000001479 | 4.97% | |
0.1417 | -0.35% | |
0.0000000508 | 1.40% | |
0.0029 | 0.00% | |
0.0051014 | 0.04% | |
0.480 | 2.56% | |
0.01964 | 2.40% | |
0.00898 | -20.46% | |
0.001520 | 0.80% | |
0.0090 | 80.00% | |
59.10 | 2.93% | |
0.303 | 1.34% | |
0.000098 | 22.50% | |
0.10384 | -1.76% | |
16.73 | 1.70% | |
0.03332 | 0.18% | |
0.029973 | -0.05% | |
0.00000000003205 | -3.14% | |
0.0098 | -2.00% | |
0.000283 | 4.81% | |
0.708 | 2.16% | |
0.00931 | 8.38% | |
0.000067 | 21.82% | |
0.5175 | 4.84% | |
0.00848 | 1.07% | |
0.000500 | -5.12% | |
0.003206 | -18.09% | |
0.01121 | 1.26% | |
0.762 | 0.53% | |
0.00000013002 | -52.55% | |
0.1231 | -0.24% | |
0.000000000226 | -1.74% | |
1.724 | 1.59% | |
0.0287 | -3.37% | |
0.7578 | -4.97% | |
0.017330 | -2.33% | |
0.1851 | 0.49% | |
0.2413 | 1.64% | |
0.00000000000344 | -13.35% | |
0.007994 | -0.05% | |
0.0000085 | 3.66% | |
0.00840 | 6.46% | |
0.00703 | -0.14% | |
0.1668 | 2.58% | |
0.00208 | 0.48% | |
0.0000080 | -6.98% | |
1.462 | -14.45% | |
0.0483 | 1.05% | |
0.0832 | 0.12% | |
0.8432 | -1.41% | |
0.05978 | 0.89% | |
0.0000039 | 0.00% | |
0.04480 | -0.44% | |
0.001644 | -2.49% | |
0.01280 | 12.97% | |
0.05920 | 2.00% | |
0.0155 | 4.73% | |
0.0531 | 0.76% | |
0.000515 | -1.72% | |
0.000000091 | 2.25% | |
0.00003161 | 0.67% | |
0.001184 | -3.74% | |
0.001024 | 0.69% | |
0.000492 | 2.07% | |
0.0000000590 | 1.72% | |
0.004737 | 0.81% | |
1.305 | 3.49% | |
0.0755 | -6.79% | |
0.0898 | -2.71% | |
0.000261 | 4.40% | |
0.4154 | 3.31% | |
0.00000284 | 0.71% | |
0.01791 | -14.14% | |
22.540 | 1.87% | |
0.1102 | 1.57% | |
0.000588 | 2.26% | |
0.000989 | 20.32% | |
0.01122 | 8.62% | |
0.000000000000806 | -8.41% | |
0.003533 | 17.88% | |
0.1710 | 1.66% | |
0.00010000 | -9.08% | |
0.00003465 | 2.51% | |
0.000001819 | -10.92% | |
4.884 | 1.92% | |
0.0000000000000136 | 2.26% | |
0.0557 | -1.24% | |
0.05267 | -8.00% | |
0.0000016649 | 2.44% | |
48.214 | 0.22% | |
0.02630 | -1.35% | |
0.0004791 | -6.55% | |
0.1873 | 2.24% | |
0.6518 | 0.87% | |
0.03725 | 0.78% | |
0.003354 | -0.33% | |
0.001107 | -7.83% | |
1.934 | 0.42% | |
0.000000444 | 1.83% | |
0.002570 | -0.77% | |
0.02700 | 0.00% | |
0.014918 | 4.89% | |
0.07507 | -4.15% | |
0.0000564 | -2.42% | |
0.659 | 1.70% | |
0.0603 | 0.33% | |
0.000001459 | -0.75% | |
0.00220 | 11.68% | |
0.0047 | -17.54% | |
0.0412 | -55.56% | |
0.2453 | 2.46% | |
0.5080 | 3.34% | |
0.000000001842 | -4.31% | |
0.00003580 | 16.38% | |
0.1681 | -4.49% | |
0.0000086 | 86.96% | |
0.1886 | -0.11% | |
0.4325 | 4.07% | |
0.001294 | 1.01% | |
0.0006293 | 8.02% | |
0.000000000001582 | 5.96% | |
15.94 | 2.31% | |
0.01036 | -3.99% | |
0.00754 | 1.07% | |
0.003498 | 2.91% | |
13.17 | -0.15% | |
0.00008997 | -0.31% | |
0.003643 | -6.95% | |
0.00000016200 | -16.92% | |
0.1188 | 0.76% | |
0.1006 | -11.44% | |
0.000450 | -28.57% | |
2.048 | -6.01% | |
0.00002253 | -0.04% | |
12.15 | 1.67% | |
0.00831 | 5.99% | |
0.001122 | 9.57% | |
0.1051 | 2.34% | |
0.000843 | -1.86% | |
1.2027 | 2.12% | |
0.024139 | -0.33% | |
5.47 | 1.67% | |
0.000024 | -11.11% | |
0.0111 | 0.00% | |
0.0641 | -0.62% | |
0.9418 | 3.09% | |
0.05280 | 0.21% | |
0.00000867 | -22.86% | |
0.0000008 | 0.00% | |
0.00002 | -33.33% | |
0.0763 | -1.55% | |
2.327 | 6.21% | |
0.00487 | 1.88% | |
0.0000002319 | 5.07% | |
0.1017 | 2.01% | |
0.0834 | -1.18% | |
0.00000000187 | 3.31% | |
0.04128 | 9.03% | |
0.00831 | -3.15% | |
0.00285 | -3.06% | |
0.1887 | 1.62% | |
0.05010 | 0.80% | |
0.1031 | 1.38% | |
0.01140 | 2.61% | |
0.0671 | 0.15% | |
0.387 | 3.20% | |
0.0240 | -4.76% | |
0.1065 | 3.10% | |
0.007399 | -0.03% | |
0.1225 | 0.33% | |
0.3020 | 2.37% | |
0.00205 | 2.50% | |
0.691 | 17.92% | |
0.01727 | -5.01% | |
0.0055 | -20.29% | |
0.003072 | 4.88% | |
0.000031 | -18.42% | |
1.396 | 2.80% | |
0.0002201 | 0.05% | |
0.9746 | 0.00% | |
0.0000000030216 | 0.00% | |
0.1190 | -2.94% | |
16.04 | 1.91% | |
0.001646 | -10.15% | |
0.00006800 | 54.62% | |
0.00151 | 0.00% | |
0.01155 | -1.87% | |
0.05575 | 0.00% | |
0.0391 | -1.76% | |
39.98 | 3.41% | |
8.17 | 0.00% | |
0.600 | 1.87% | |
0.0000516 | 7.28% | |
0.01507 | 1.07% | |
0.356 | 18.27% | |
0.000092 | 1.10% | |
0.01379 | 5.59% | |
0.7800 | 0.88% | |
0.003095 | -0.93% | |
0.003812 | -2.06% | |
69.6 | 1.90% | |
0.0765 | -0.39% | |
0.000068 | 119.35% | |
0.03296 | -1.58% | |
19.2000 | 1.36% | |
0.1171 | -3.78% | |
0.02729 | 3.53% | |
0.003933 | -0.08% | |
0.02624 | -7.48% | |
1.2343 | 1.78% | |
0.0000512 | -19.24% | |
0.000433 | 0.46% | |
0.001339 | 0.98% | |
0.0941 | -7.47% | |
0.0415 | 0.48% | |
0.0000221 | -30.28% | |
0.0079 | 17.91% | |
0.2059 | -1.01% | |
0.0097 | 203.13% | |
0.000350 | 0.57% | |
0.0001713 | 5.55% | |
0.0779 | 1.96% | |
0.0735 | 1.52% | |
0.00072 | -11.11% | |
0.1123 | 0.54% | |
0.1530 | 1.80% | |
0.00000000000189 | -17.11% | |
0.0003745 | -9.08% | |
0.000353 | -13.69% | |
0.0009 | 0.00% | |
0.02700 | -0.92% | |
0.00000003501 | 0.20% | |
0.00004933 | 11.23% | |
0.00000000001765 | -7.45% | |
0.001156 | 2.76% | |
0.0005574 | 2.73% | |
0.008231 | 0.00% | |
0.000000000705 | -2.22% | |
0.0175 | 16.67% | |
0.00755 | 0.00% | |
0.00000000000871 | 33.59% | |
0.00151 | -10.65% | |
16.20 | 1.19% | |
0.0006445 | 1.96% | |
0.1550 | -1.71% | |
1.971 | 2.50% | |
0.00000006 | -45.45% | |
1.0267 | -3.08% | |
0.0383 | -30.36% | |
0.00000000000015 | -28.57% | |
0.0331 | 0.30% | |
0.0012 | 20.00% | |
9.193 | 0.97% | |
0.00092 | 5.75% | |
0.4450 | 0.00% | |
0.006500 | 116.67% | |
0.01443 | 0.77% | |
0.01543 | 1.38% | |
0.000167 | -2.34% | |
0.662 | 3.12% | |
0.2130 | 3.05% | |
0.01763 | 2.32% | |
0.000561 | 0.00% | |
0.01454 | -0.07% | |
0.0306 | 5.88% | |
0.2116 | 1.39% | |
449.00 | -0.22% | |
0.00006 | 0.00% | |
0.00121 | -17.69% | |
15.65 | 2.56% | |
0.0073 | -13.10% | |
0.1881 | 1.90% | |
0.000001780 | -16.04% | |
0.00012 | 9.09% | |
0.1430 | -1.04% | |
0.586 | 0.86% | |
0.0005 | 0.00% | |
0.00030000 | 0.00% | |
0.04057 | 18.63% | |
0.0005926 | 0.27% | |
0.0000055 | -1.79% | |
1.241 | -1.51% | |
0.005727 | -1.09% | |
0.0000119 | 0.00% | |
0.0000069538 | 1.06% | |
0.000001656 | 4.09% | |
0.00004139 | -5.20% | |
0.1679 | 3.26% | |
0.0334 | -12.79% | |
0.0004006 | 1.57% | |
0.0090 | -6.25% | |
0.03790 | 1.31% | |
0.0003075 | 0.85% | |
0.000022 | 0.00% | |
0.004167 | -0.19% | |
0.002026 | -0.20% | |
0.0000192 | -9.00% | |
0.1720 | 2.32% | |
0.3212 | -11.56% | |
0.0002998 | -14.22% | |
0.000868 | 5.98% | |
0.0006 | 0.00% | |
0.003512 | -9.48% | |
0.0001 | 0.00% | |
0.0000000000000158 | -4.82% | |
0.01527 | 2.35% | |
0.00000000000015 | 7.14% | |
0.1163 | 0.69% | |
0.00113 | 0.00% | |
0.002160 | -1.37% | |
0.0028 | -20.00% | |
2.401 | -6.32% | |
0.000450 | -0.22% | |
0.01734 | 2.12% | |
0.2394 | -0.62% | |
0.0015 | -16.67% | |
0.0000579 | 0.00% | |
0.003273 | 25.35% | |
0.0071 | 0.00% | |
0.2166 | 0.00% | |
0.00679 | -0.29% | |
1.72 | 0.58% | |
0.00008822 | 0.60% | |
0.000000000004640 | 18.37% | |
0.0216 | 0.93% | |
0.000092 | 0.00% | |
0.0295 | 0.34% | |
0.001589 | 1.02% | |
0.0303 | -4.72% | |
0.02100 | 32.08% | |
0.0999 | 2.88% | |
0.000000000021 | 50.00% | |
0.00000000000231 | -3.35% | |
0.1190 | -0.42% | |
0.004390 | -12.20% | |
0.0023 | 0.00% | |
0.0000076 | -1.30% | |
0.0965 | 1.37% | |
0.000000000787 | -0.13% | |
0.0000002930 | 0.17% | |
0.000000000107 | -7.76% | |
0.9900 | 0.00% | |
0.04808 | 11.09% | |
0.00069 | 9.52% | |
0.00639 | -17.65% | |
0.000063 | 1.61% | |
0.02049 | 0.00% | |
0.07138 | -2.74% | |
0.003282 | -1.47% | |
0.1520 | 0.00% | |
0.00150 | -11.76% | |
0.000266 | 0.00% | |
0.000000001868 | 0.00% | |
0.1155 | 0.96% | |
0.00000000000102 | 0.99% | |
0.0000301 | -37.68% | |
0.00000000001029 | -6.03% | |
0.001590 | -1.36% | |
0.2473 | 0.12% | |
0.000000000701 | -9.20% | |
0.0005892 | 2.61% | |
0.0000979 | -10.92% | |
0.00000000016003 | 0.64% | |
0.0003832 | 10.82% | |
0.00000000031 | -41.51% | |
0.000022 | 0.00% | |
0.0000000042 | -6.67% | |
1.804 | 1.35% | |
0.00795 | 6.85% | |
0.00000000003502 | -4.00% | |
0.00400 | 3.90% | |
0.000000000447 | -14.86% | |
0.0103 | 0.00% | |
0.000000038 | -5.00% | |
0.0009 | 50.00% | |
0.00000240 | 1.69% | |
0.00023474 | -1.56% | |
0.000055 | -1.79% | |
0.0000111 | 0.00% | |
0.0412 | 0.73% | |
0.000024 | 33.33% | |
0.00004 | 0.00% | |
0.000035 | -43.55% | |
0.01428 | 8.59% | |
0.0009 | -40.00% | |
0.000000000009 | 12.50% | |
0.000000008399 | -0.01% | |
0.0621 | -1.74% | |
0.00000058 | 13.73% | |
0.00025 | 8.70% | |
0.0001320 | 0.00% | |
0.000110 | -23.61% | |
0.00000000000093 | -2.11% | |
1.264 | 1.94% | |
0.0648 | 1.25% | |
0.0601 | 5.25% | |
0.0005373 | -2.54% | |
0.01671 | -0.59% | |
0.000681 | -0.58% | |
0.2759 | 0.91% | |
0.3611 | 4.48% | |
0.01163 | -2.27% | |
0.5356 | 0.45% | |
0.4254 | 0.95% | |
0.09262 | 0.79% | |
0.02830 | 6.15% | |
0.2615 | -3.86% | |
0.2850 | 2.96% | |
0.00011 | 0.00% | |
0.6574 | -0.77% | |
0.002116 | 1.44% | |
1.013 | 1.00% | |
0.2102 | -0.76% | |
58.5600 | 0.00% | |
0.001029 | -5.51% | |
0.0001451 | 0.07% | |
0.0463 | 6.44% | |
6.034 | -1.71% | |
0.000887 | -2.85% | |
0.02839 | -0.35% | |
0.0754 | -1.57% | |
18.012 | 3.27% | |
0.004584 | -0.56% | |
0.0009012 | 0.00% | |
0.17666 | 4.86% | |
0.005220 | 3.61% | |
0.00699 | 0.00% | |
0.0007993 | 0.00% | |
6.082 | 2.51% | |
0.2160 | 10.32% | |
0.001712 | -3.82% | |
0.02547 | -6.50% | |
0.001250 | 0.97% | |
2.6539 | 1.06% | |
0.002902 | 4.35% | |
0.02033 | 4.63% | |
0.0000467 | 0.00% | |
0.002429 | -5.23% | |
0.002392 | -4.32% | |
0.0013 | 0.00% | |
0.000114 | 2.70% | |
0.4974 | 3.32% | |
0.000878 | 6.68% | |
0.1220 | 1.33% | |
0.02658 | -0.30% | |
0.00403 | 4.40% | |
0.00495 | 14.85% | |
0.0752 | -7.62% | |
0.00913 | -0.76% | |
3.8900 | 0.00% | |
0.001112 | -0.27% | |
0.1023 | -4.48% | |
0.1736 | 0.40% | |
0.3771 | 0.00% | |
0.539 | 0.00% | |
0.5732 | 0.00% | |
0.0490 | -3.16% | |
2.701 | -2.98% | |
0.000000049 | 0.00% | |
0.1343 | 2.44% | |
0.00083 | 0.00% | |
0.614 | 0.66% | |
0.6359 | 4.01% | |
0.0710 | 1.14% | |
0.0736 | -0.41% | |
0.001101 | 1.29% | |
0.00000080 | 0.00% | |
0.00000000000041 | 0.00% | |
0.000216 | 0.00% | |
0.450 | 2.04% | |
1.424 | 0.99% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0778 | 0.91% | |
1.1371 | 0.00% | |
0.863 | 1.41% | |
5.623 | 2.50% | |
0.000079 | 0.00% | |
0.02223 | 0.32% | |
0.4424 | 0.00% | |
0.0327 | -1.80% | |
0.0371 | 3.34% | |
0.000360 | -4.00% | |
0.2002 | 2.61% | |
0.0071 | 0.00% | |
0.2663 | 1.80% | |
0.000210 | 0.00% | |
0.2620 | 1.28% | |
0.0228 | 3.64% | |
0.1462 | 1.04% | |
6.63 | 0.76% | |
0.003898 | 2.74% | |
0.2337 | 0.73% | |
0.000452 | 0.00% | |
0.1978 | -0.65% | |
0.000000002453 | 0.45% | |
0.000184691 | -3.72% | |
0.00000044 | 2.33% | |
0.1204 | 0.00% | |
2.718 | 0.55% | |
1.039 | 1.66% | |
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% | |
0.000483 | 3.21% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.0115 | -1.71% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000006 | -14.29% | |
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% | |
-- | -- | |
0.00000011 | 0.00% | |
0.0000006594 | 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% | |
0.0007979 | 4.40% | |
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% | |
6.2788 | 0.00% | |
0.001000 | 0.00% | |
0.0192 | 0.00% | |
0.0006 | 0.00% | |
0.0786 | 0.00% | |
0.001200 | 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% | |
0.001560 | 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% | |
0.001817 | -0.44% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000207 | 5.08% | |
0.000258 | 0.00% | |
0.000701 | 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% | |
0.004385 | 5.97% | |
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% | |
1.3197 | 0.55% | |
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% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00013699 | 0.00% | |
0.0000063 | 0.00% | |
0.001745 | 0.00% | |
0.00625 | 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% | |
0.000288 | 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% | |
0.3101 | 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% | |
0.3348 | 1.24% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00980 | 1.45% | |
0.00538 | 0.00% | |
0.4284 | -0.99% | |
5155.00 | 0.00% | |
1.194 | 2.14% | |
1.330 | 1.37% | |
0.0091 | 0.00% |