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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0.00284 | -1.05% | |
0.00000000008334 | 2.17% | |
0.004299 | 3.99% | |
0.000856 | -0.35% | |
0.00039969 | -0.03% | |
0.000000001275 | 0.00% | |
0.003070 | 2.85% | |
2.7230 | 1.55% | |
0.000308 | 18.01% | |
0.0001978 | -11.97% | |
0.00000729 | 1.39% | |
0.00407 | -9.15% | |
0.008071 | 0.21% | |
0.1598 | -0.37% | |
0.005578 | -2.86% | |
0.749 | 0.54% | |
0.000000047506 | 2.38% | |
0.004931 | -1.52% | |
0.8814 | 66.68% | |
0.05330 | -14.14% | |
0.063495 | 0.89% | |
0.1956 | 3.27% | |
0.000356 | -0.84% | |
0.00000006460 | 1.92% | |
0.3381 | -2.23% | |
1.1237500 | -0.23% | |
0.3477 | -3.31% | |
0.00189 | 5.00% | |
0.7068 | 0.94% | |
0.0003617 | -11.20% | |
0.015374 | 1.32% | |
0.00001611 | 1.38% | |
0.001941 | -14.00% | |
0.61934 | 14.43% | |
2.194 | -2.36% | |
0.2076 | 0.87% | |
1.7133 | 4.80% | |
0.000381 | -0.52% | |
1304 | 1.72% | |
0.002724 | 0.37% | |
6.9875 | 0.69% | |
0.00363 | 1.11% | |
0.02921 | -2.70% | |
91.8925 | -0.96% | |
0.02275 | 0.49% | |
0.000591 | -1.50% | |
141.09 | 0.44% | |
0.007624 | 2.03% | |
0.3470 | 0.00% | |
0.0029999 | 0.13% | |
0.1064 | 1.43% | |
0.01464 | -0.20% | |
0.000723 | -0.55% | |
0.00004400 | -19.38% | |
9.615 | -2.29% | |
9.1204 | -8.81% | |
0.000774 | 11.05% | |
0.01296 | 7.82% | |
4.432 | 2.52% | |
0.00000630 | -2.17% | |
16.4847 | -2.94% | |
13.63 | 8.61% | |
0.0428 | 1.18% | |
0.2065 | -7.11% | |
0.0000420 | 34.19% | |
0.0100 | 5.26% | |
20.51 | 8.29% | |
0.0000456 | -7.32% | |
0.0002137 | -2.51% | |
0.00006741 | 1.49% | |
0.00097 | -3.96% | |
0.00001997 | 0.35% | |
0.0239 | 0.42% | |
0.2414 | -0.74% | |
0.5472 | -12.88% | |
0.01088 | -5.72% | |
0.0600 | 2.39% | |
0.4959 | 13.17% | |
0.00871 | 8.74% | |
16.10 | -1.17% | |
4.8649 | -1.69% | |
0.0141 | 9.30% | |
1.7370 | 1.35% | |
0.00228 | -1.72% | |
0.470 | 0.21% | |
0.0606 | -1.14% | |
0.00013797 | -0.38% | |
1.0615 | -1.09% | |
0.00956 | 11.68% | |
0.1098 | 0.37% | |
0.0005500 | 49.62% | |
0.01250 | 0.40% | |
0.01097 | 0.27% | |
0.000000001725 | 6.22% | |
0.0062 | -4.62% | |
0.001178 | -3.28% | |
0.01099 | 4.37% | |
0.0832 | -2.23% | |
0.01498 | -0.33% | |
0.012160 | 0.00% | |
0.0000894 | 2.76% | |
0.0000162 | 14.08% | |
0.0464 | -11.11% | |
0.0009530 | 7.61% | |
0.0002918 | 1.50% | |
0.0000000130 | -4.41% | |
0.001114 | -10.81% | |
0.410 | -0.24% | |
0.00315905 | 5.02% | |
0.01775 | 0.23% | |
0.000345 | 18.15% | |
0.00192 | 118.18% | |
0.0000232 | -0.85% | |
0.04405 | 4.66% | |
0.01837 | 10.60% | |
0.04904 | -7.87% | |
308.2 | 3.18% | |
0.00004011 | -12.80% | |
0.0265 | 1.92% | |
0.000098 | 7.69% | |
0.0000000741 | -10.40% | |
0.0018862 | -2.11% | |
0.001745 | -2.89% | |
0.000208 | -5.45% | |
0.0000000384 | 1.59% | |
0.001970 | -0.76% | |
0.015910 | -14.27% | |
0.3355 | 1.64% | |
0.02478 | -6.46% | |
4.46 | -2.83% | |
0.000485 | -5.09% | |
0.0481 | 1.26% | |
0.00933 | 0.65% | |
0.3326 | -3.00% | |
0.0002463 | 2.03% | |
0.00598 | -1.81% | |
0.00220 | -6.78% | |
2.951 | 1.76% | |
0.005591 | 0.92% | |
0.000808 | -1.58% | |
0.00955 | 5.64% | |
0.1742 | -1.25% | |
0.0807 | 0.88% | |
0.011415 | 4.84% | |
0.00529 | 0.19% | |
0.002149 | 7.40% | |
0.4458 | -2.81% | |
0.0000580 | 0.00% | |
0.0207 | -8.81% | |
0.004307 | 10.44% | |
0.03993 | -8.21% | |
0.8052 | 21.87% | |
0.00000001136 | 0.44% | |
0.1022 | -2.48% | |
0.3530 | 2.26% | |
11.01 | 2.80% | |
0.002815 | 4.49% | |
0.0100 | -8.26% | |
0.02347 | 3.48% | |
0.512 | -1.35% | |
0.003111 | -13.58% | |
0.006477 | -0.02% | |
0.002290 | -0.09% | |
0.0040 | 0.00% | |
0.542 | 1.12% | |
0.01334 | 2.38% | |
16.11 | 9.82% | |
0.010990 | -8.33% | |
0.04575 | 1.98% | |
0.2389 | -2.69% | |
0.01061 | 0.09% | |
0.0178 | 7.23% | |
0.03382 | -2.31% | |
0.06119 | 0.07% | |
0.000001465 | 3.31% | |
0.02609 | -0.19% | |
0.1227 | -1.21% | |
0.1329 | 0.38% | |
0.02876 | 4.43% | |
0.013020 | 2.46% | |
0.002466 | 1.44% | |
0.006314 | 8.28% | |
0.5523 | 1.81% | |
0.00000001435 | 9.71% | |
0.2903 | -6.45% | |
0.003519 | -27.79% | |
0.1058 | 1.15% | |
0.001498 | -3.97% | |
0.000194315 | -3.14% | |
0.06964 | -0.09% | |
3.481 | -0.91% | |
0.02432 | -3.91% | |
0.0000558 | -5.58% | |
0.0621 | 2.64% | |
0.003192 | -20.50% | |
0.0000000794 | 8.77% | |
0.00559 | -6.83% | |
0.0543 | -8.43% | |
0.001474 | 4.46% | |
0.00000000001551 | -6.96% | |
0.0000000001880 | 3.30% | |
0.002359 | -4.84% | |
6.45 | 0.00% | |
0.00200 | 47.06% | |
27.06 | 1.31% | |
0.249579 | -0.24% | |
0.0514 | 0.98% | |
5.380 | 1.89% | |
0.002897 | -1.19% | |
0.003106 | -0.45% | |
0.0001886 | -5.37% | |
0.0087 | -3.33% | |
0.00669 | -1.62% | |
0.0095 | 9.20% | |
0.1929 | -2.13% | |
0.0511 | -40.86% | |
0.004310 | -14.25% | |
0.00000361 | 4.64% | |
0.0967 | 1.26% | |
0.002800 | 1.82% | |
0.00000398 | -3.40% | |
0.003985 | 1.87% | |
0.004043 | 18.04% | |
0.0004139 | 6.35% | |
0.0003905 | 20.04% | |
0.001911 | 5.81% | |
0.000189 | -9.13% | |
0.0004627 | 0.00% | |
0.04416 | 2.67% | |
0.0602 | 2.21% | |
0.000893 | -11.32% | |
0.002900 | 38.10% | |
0.09443 | 3.72% | |
8.45 | 0.48% | |
0.2903 | -4.03% | |
0.0003370 | 3.69% | |
0.00016 | -20.00% | |
0.0002546 | 0.04% | |
0.003931 | 30.25% | |
6.3520 | 1.68% | |
0.03814 | 7.23% | |
0.0000002500 | 0.97% | |
0.000777 | -3.84% | |
0.0002005 | -1.38% | |
0.600 | 2.21% | |
31.0000 | 0.00% | |
0.00000013218 | 0.34% | |
0.7607 | -0.07% | |
0.01154 | -0.86% | |
0.000829 | -4.49% | |
0.01401 | 2.86% | |
0.0398 | -0.50% | |
0.4147 | 1.52% | |
2.196 | 9.25% | |
0.002225 | -2.15% | |
0.001772 | 5.60% | |
0.0000020 | 0.00% | |
0.0000542 | -0.73% | |
0.00000001507 | 6.88% | |
0.000033 | -19.51% | |
0.1426 | -0.63% | |
0.0000000512 | 4.28% | |
0.01404 | -6.71% | |
0.481 | 1.91% | |
0.0577 | -0.35% | |
0.0051016 | 0.04% | |
0.01964 | 3.04% | |
0.0049 | -10.91% | |
0.001532 | 0.46% | |
0.0090 | 80.00% | |
0.000090 | -2.17% | |
60.51 | 3.63% | |
0.303 | -0.33% | |
0.10393 | -2.72% | |
16.82 | 1.57% | |
0.0028 | 16.67% | |
0.03340 | -1.15% | |
0.029997 | -3.19% | |
0.00000000003206 | -3.11% | |
0.0100 | -2.91% | |
0.000249 | -10.75% | |
0.717 | 2.43% | |
0.000067 | 21.82% | |
0.5156 | 0.04% | |
0.00857 | 0.94% | |
0.000508 | -4.51% | |
0.764 | 0.00% | |
0.00000013002 | -52.55% | |
0.000000000236 | 2.61% | |
0.1229 | -2.23% | |
0.7580 | -5.53% | |
0.0286 | -4.98% | |
0.0004905 | -5.13% | |
0.017330 | -2.33% | |
0.1851 | -0.16% | |
1.728 | -0.06% | |
0.00000000000344 | -12.47% | |
0.007994 | -0.05% | |
0.0000087 | 6.10% | |
0.00840 | 4.87% | |
0.00705 | -0.70% | |
0.01124 | 1.44% | |
0.1679 | 1.82% | |
0.0000079 | -7.06% | |
0.00209 | -0.48% | |
1.477 | -12.29% | |
0.0488 | 1.24% | |
0.0829 | -1.66% | |
0.00920 | 3.95% | |
0.8481 | -1.85% | |
0.05944 | 0.13% | |
0.0000039 | 0.00% | |
0.04480 | -0.44% | |
0.001651 | -3.11% | |
0.01247 | 8.34% | |
0.05920 | 2.00% | |
0.0155 | 4.73% | |
0.0531 | 0.19% | |
0.000512 | 1.99% | |
0.000000091 | -2.15% | |
0.00003157 | 1.87% | |
0.000495 | 2.27% | |
0.004729 | -0.25% | |
1.297 | 2.37% | |
0.0735 | -3.29% | |
0.0862 | -4.01% | |
0.000261 | 4.40% | |
0.4164 | 2.74% | |
0.00000285 | 0.00% | |
0.01767 | -16.22% | |
0.1094 | -0.36% | |
0.000000000000808 | -7.76% | |
0.000598 | 2.22% | |
0.001007 | 26.99% | |
0.01072 | 4.59% | |
0.001034 | 0.49% | |
0.1713 | 1.36% | |
0.00010000 | -9.08% | |
0.000001821 | -12.75% | |
4.932 | 1.54% | |
0.0562 | 1.63% | |
0.02685 | 0.37% | |
0.2413 | 0.33% | |
0.3005 | 0.47% | |
0.05267 | -8.00% | |
0.0000017543 | 8.19% | |
0.0000000000000136 | 3.03% | |
48.132 | -0.12% | |
0.012948 | -5.68% | |
0.1873 | 1.24% | |
0.6495 | -0.28% | |
0.03726 | -1.30% | |
0.003403 | 0.38% | |
0.001104 | -9.14% | |
1.940 | -0.21% | |
0.386 | 2.39% | |
0.000000452 | 1.80% | |
0.02700 | 0.00% | |
0.2386 | -0.08% | |
0.015734 | 10.86% | |
0.07719 | -2.22% | |
0.661 | 0.15% | |
0.0601 | -1.31% | |
0.000001456 | -1.02% | |
0.00220 | 11.68% | |
0.0412 | -55.56% | |
0.2471 | 1.69% | |
0.5090 | 2.27% | |
0.000000001842 | -5.00% | |
0.00003580 | 16.38% | |
0.0000049 | 6.52% | |
0.0000000625 | -1.57% | |
0.1681 | -4.49% | |
0.0057 | 1.79% | |
0.1893 | -0.16% | |
0.4356 | 4.34% | |
0.001295 | -2.26% | |
0.0006231 | 6.15% | |
0.000000000001532 | 1.26% | |
16.06 | 2.03% | |
0.01036 | -3.99% | |
0.00757 | 1.20% | |
0.003476 | 2.15% | |
0.000846 | -1.63% | |
13.22 | -1.12% | |
0.00008994 | -0.51% | |
0.003668 | -7.09% | |
0.00000016200 | -16.92% | |
0.1202 | 2.12% | |
0.1014 | -12.36% | |
0.00002260 | -0.75% | |
0.002570 | 7.08% | |
12.19 | 1.50% | |
0.00822 | 4.85% | |
0.001103 | 6.47% | |
0.1051 | 3.34% | |
0.000027 | 3.85% | |
1.2290 | 2.89% | |
0.024139 | -0.28% | |
5.47 | 0.74% | |
0.0111 | 0.00% | |
0.0640 | -2.14% | |
0.00820 | -4.32% | |
0.9394 | 1.29% | |
0.05283 | -1.12% | |
0.00000867 | -22.86% | |
2.065 | -5.32% | |
0.0000008 | 0.00% | |
0.00003 | 0.00% | |
0.0763 | -1.04% | |
2.334 | 5.52% | |
0.00488 | 2.09% | |
0.1018 | 0.99% | |
0.0836 | -1.99% | |
0.0000564 | 0.36% | |
0.00000000192 | 6.08% | |
0.04250 | 11.05% | |
0.00285 | -3.06% | |
0.1898 | 1.06% | |
0.05038 | -0.45% | |
0.1040 | 1.76% | |
0.01143 | 1.69% | |
0.0676 | -0.44% | |
0.7881 | 0.95% | |
0.0240 | 0.84% | |
0.1076 | 2.38% | |
0.008000 | 8.09% | |
0.1238 | 0.41% | |
0.00205 | 1.99% | |
0.702 | 17.79% | |
0.01726 | -8.44% | |
0.0055 | -20.29% | |
0.003276 | 10.71% | |
1.402 | 1.15% | |
0.000031 | -24.39% | |
0.0002201 | 0.05% | |
0.9746 | 0.00% | |
0.0000000030216 | 0.00% | |
0.1190 | -2.94% | |
16.09 | 1.19% | |
19.2000 | 1.36% | |
0.001654 | -4.23% | |
0.00151 | -1.31% | |
0.01158 | -2.03% | |
0.05575 | 0.00% | |
0.0391 | -1.76% | |
40.05 | 2.51% | |
4.861 | -4.07% | |
8.26 | 0.24% | |
0.606 | 2.36% | |
0.01513 | 0.33% | |
0.356 | 18.27% | |
0.000092 | -1.08% | |
0.01397 | 4.10% | |
0.000450 | 22.28% | |
0.003103 | -0.80% | |
0.003846 | -1.69% | |
69.8 | 1.45% | |
0.0762 | -1.42% | |
0.0000002116 | -9.73% | |
0.000068 | 119.35% | |
0.03279 | -3.81% | |
0.1169 | -3.15% | |
0.02659 | -1.66% | |
0.02748 | -4.35% | |
0.0000516 | 7.28% | |
1.2283 | 0.76% | |
0.0000512 | -19.24% | |
0.000433 | 0.46% | |
0.001334 | -0.74% | |
0.0949 | -8.22% | |
0.0416 | -1.19% | |
0.0001713 | 5.55% | |
0.003933 | -0.05% | |
0.0000221 | -19.64% | |
0.2088 | -0.76% | |
0.0097 | 203.13% | |
0.000351 | 0.86% | |
0.0077 | 10.00% | |
0.0784 | 0.77% | |
0.0739 | 0.82% | |
0.00072 | -11.11% | |
0.1540 | 1.78% | |
0.00004949 | 8.86% | |
0.0003761 | -9.48% | |
0.00000000000199 | -12.72% | |
0.000000000561 | -22.19% | |
0.000353 | -13.69% | |
0.0009 | 28.57% | |
0.02668 | -3.44% | |
0.00000003524 | -0.56% | |
0.00000000001765 | -6.56% | |
0.001158 | 1.85% | |
0.0005636 | 1.92% | |
0.659 | 1.07% | |
0.008231 | 0.00% | |
0.0175 | 16.67% | |
0.00755 | 0.00% | |
0.00000000000871 | 33.59% | |
0.00151 | -10.65% | |
16.19 | -0.25% | |
0.0006474 | 1.79% | |
0.1551 | -3.24% | |
0.0014 | -60.00% | |
1.988 | 3.70% | |
0.00000006 | -45.45% | |
1.0320 | -2.79% | |
0.0383 | -30.36% | |
0.00000000000015 | -16.67% | |
0.0333 | -0.60% | |
0.0012 | 20.00% | |
9.193 | 0.98% | |
0.00092 | 3.37% | |
0.4450 | 0.00% | |
0.006500 | 116.67% | |
0.01443 | -1.16% | |
0.01543 | 0.59% | |
0.000167 | -4.02% | |
0.2142 | 2.88% | |
0.01775 | 2.42% | |
0.000561 | 0.00% | |
0.01454 | -0.07% | |
0.0305 | 3.74% | |
0.2118 | 0.52% | |
449.00 | -0.22% | |
0.00006 | 0.00% | |
0.00121 | 0.00% | |
15.70 | 1.82% | |
0.1121 | -1.15% | |
0.0073 | -13.10% | |
0.1881 | 0.80% | |
0.000001780 | -16.43% | |
0.000000000004640 | 18.37% | |
0.00012 | 0.00% | |
0.1433 | -0.49% | |
0.591 | 1.03% | |
0.0005 | 0.00% | |
0.00030000 | 0.00% | |
0.04057 | 18.63% | |
0.0005922 | -1.07% | |
0.0000055 | -1.79% | |
1.246 | -1.11% | |
0.005660 | -1.80% | |
0.0000119 | 0.00% | |
0.0000069537 | 0.00% | |
0.000001656 | 4.09% | |
0.00004172 | -4.20% | |
0.1671 | 1.33% | |
0.0342 | -11.86% | |
0.0004018 | 0.00% | |
0.0097 | -5.83% | |
0.03790 | 1.31% | |
0.0003109 | -0.58% | |
0.000022 | -8.33% | |
0.004162 | -0.55% | |
0.002026 | -0.20% | |
0.0000192 | -9.00% | |
0.1737 | 1.94% | |
0.3259 | -10.15% | |
0.0002998 | -14.22% | |
0.000866 | 4.59% | |
0.0006 | 0.00% | |
0.003512 | -9.48% | |
0.00000000000014 | 0.00% | |
0.0001 | 0.00% | |
0.0000000000000158 | -4.24% | |
0.01520 | 0.60% | |
0.1162 | -2.35% | |
0.00113 | 0.00% | |
0.002176 | -2.42% | |
2.424 | -6.45% | |
0.000451 | 0.67% | |
0.01733 | 0.87% | |
0.2396 | -1.92% | |
0.0015 | -16.67% | |
0.0000579 | 0.00% | |
0.003292 | 22.93% | |
0.0071 | 0.00% | |
0.2166 | 0.00% | |
0.00679 | -0.29% | |
1.73 | 0.58% | |
0.00008822 | 0.60% | |
0.0219 | 1.86% | |
0.000092 | 0.00% | |
0.0298 | 0.00% | |
0.001590 | -1.30% | |
0.0304 | -5.30% | |
0.02100 | 32.08% | |
0.1002 | 1.83% | |
0.000000000021 | 50.00% | |
0.00000000000231 | -7.23% | |
0.1190 | -0.42% | |
0.004390 | -12.20% | |
0.0023 | 0.00% | |
0.000063 | 1.61% | |
0.0000083 | 13.70% | |
0.0972 | 1.04% | |
0.000000000797 | 0.89% | |
0.0000002930 | 0.17% | |
0.000000000110 | 4.76% | |
0.9900 | 0.00% | |
0.04738 | 7.83% | |
0.00069 | 9.52% | |
0.00639 | -17.65% | |
0.02049 | 0.05% | |
0.07166 | -2.81% | |
0.003371 | 0.21% | |
0.1520 | 0.00% | |
0.00150 | -11.76% | |
0.000265 | -0.38% | |
0.000000001868 | 0.00% | |
0.1156 | -0.43% | |
0.00000000000102 | 0.99% | |
0.0000301 | -37.68% | |
0.00000000001050 | 0.38% | |
0.001595 | -1.85% | |
0.2472 | 0.16% | |
0.000000000694 | -9.75% | |
0.0005874 | 1.49% | |
0.0000979 | -10.84% | |
0.00000000016003 | 0.64% | |
0.0003909 | 11.65% | |
0.00000000031 | -40.38% | |
0.000022 | 0.00% | |
0.0000000042 | -6.67% | |
1.806 | 1.12% | |
0.00792 | 3.39% | |
0.00000000003562 | -1.27% | |
0.00400 | 3.90% | |
0.000000000447 | -14.86% | |
0.0103 | 0.00% | |
0.000000037 | -7.50% | |
0.0009 | 50.00% | |
0.00000240 | 1.69% | |
0.00023474 | -1.56% | |
0.000055 | -1.79% | |
0.0000111 | 0.00% | |
0.0414 | 0.00% | |
0.000024 | 33.33% | |
0.00004 | 0.00% | |
0.000035 | -43.55% | |
0.01438 | 9.69% | |
0.0009 | -40.00% | |
0.000000000009 | 12.50% | |
0.000000008399 | -0.01% | |
0.0620 | -2.97% | |
0.00000055 | 7.84% | |
0.00022 | 4.76% | |
0.0001320 | 0.00% | |
0.000110 | -23.61% | |
0.00000000000092 | -1.08% | |
1.265 | 0.72% | |
0.0653 | 0.77% | |
0.0606 | 3.95% | |
0.0005373 | -2.68% | |
0.01635 | -4.39% | |
0.000686 | 2.08% | |
0.2764 | -0.36% | |
0.3627 | 2.46% | |
0.01176 | -1.67% | |
0.5427 | 0.97% | |
0.4250 | -0.72% | |
0.09299 | 0.83% | |
0.02980 | 10.08% | |
0.2699 | -4.43% | |
0.00003636 | 7.93% | |
0.2866 | 0.39% | |
0.00011 | -8.33% | |
0.6668 | -0.22% | |
0.002114 | -1.40% | |
1.017 | 0.39% | |
0.2117 | 0.43% | |
58.5600 | 0.00% | |
0.001026 | -7.15% | |
0.0001451 | 0.07% | |
0.0458 | 2.92% | |
6.006 | -5.89% | |
0.000891 | -3.57% | |
0.02839 | -0.49% | |
0.0754 | -2.84% | |
17.986 | 2.67% | |
0.004584 | -0.59% | |
0.0009012 | 0.00% | |
0.18031 | 6.10% | |
0.005286 | 3.91% | |
0.00699 | 0.00% | |
0.0007993 | 0.00% | |
6.074 | 2.17% | |
0.2153 | 7.81% | |
0.001734 | -4.93% | |
0.02526 | -8.15% | |
0.001264 | 0.72% | |
2.6700 | -0.71% | |
0.002896 | 3.47% | |
0.02048 | 4.60% | |
0.0000467 | 0.00% | |
0.002429 | -5.45% | |
0.002355 | -5.76% | |
0.0013 | 0.00% | |
0.000114 | 3.64% | |
0.5015 | 2.22% | |
0.000888 | 6.99% | |
0.1219 | -0.89% | |
0.02668 | 0.08% | |
0.00403 | 2.81% | |
0.00504 | 15.33% | |
0.0754 | -8.05% | |
0.00911 | -0.65% | |
3.8900 | 0.00% | |
0.001116 | -0.89% | |
0.1026 | -4.82% | |
0.1742 | 0.75% | |
0.3771 | 0.00% | |
0.541 | -1.28% | |
0.5732 | 0.00% | |
0.0488 | -2.79% | |
2.710 | -2.55% | |
0.000000049 | 0.00% | |
0.1343 | 1.36% | |
0.00083 | 0.00% | |
0.613 | -0.65% | |
0.6354 | 2.87% | |
0.0711 | -0.14% | |
0.0740 | -0.80% | |
0.001100 | 1.38% | |
0.00000080 | 0.00% | |
0.00000000000068 | 65.85% | |
0.00006800 | 0.00% | |
0.000216 | 0.00% | |
0.452 | 1.80% | |
1.424 | 0.28% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0784 | 0.51% | |
1.1371 | 0.00% | |
0.865 | 0.23% | |
5.634 | 1.15% | |
0.000076 | -6.17% | |
0.02209 | -1.16% | |
0.4424 | 0.00% | |
0.0328 | -2.09% | |
0.0372 | 1.64% | |
0.000362 | -2.69% | |
0.2011 | 1.31% | |
0.0071 | 0.00% | |
0.2678 | 1.13% | |
0.000210 | 0.00% | |
0.2640 | 0.61% | |
0.0227 | 0.44% | |
0.1455 | -0.14% | |
6.70 | 0.45% | |
0.003905 | 1.48% | |
0.2339 | -1.02% | |
0.000452 | 0.00% | |
0.1984 | -0.90% | |
0.000000002473 | 3.39% | |
0.000188311 | 1.10% | |
0.00000044 | 0.00% | |
0.1204 | 0.00% | |
2.730 | 0.15% | |
1.041 | 0.68% | |
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% | |
0.000452 | -7.19% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.0113 | -4.24% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000005 | 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% | |
-- | -- | |
0.00000011 | 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% | |
0.0007733 | 0.95% | |
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% | |
0.000082 | 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% | |
0.001821 | -0.11% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000200 | 2.04% | |
0.000258 | 0.00% | |
0.000701 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.004362 | 3.71% | |
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% | |
1.3184 | -0.35% | |
0.00390 | 0.00% | |
0.0000194 | 0.00% | |
0.0000325 | 0.00% | |
1.0000 | 0.00% | |
0.00460 | 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% | |
0.000033 | -48.44% | |
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% | |
0.0000257 | 0.00% | |
0.00625 | 0.00% | |
0.6003 | 0.00% | |
1899.00 | 0.00% | |
0.002700 | 0.52% | |
0.250 | 0.00% | |
0.3368 | 0.39% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00983 | 0.92% | |
0.00538 | 0.00% | |
0.4279 | -2.48% | |
5155.00 | 0.00% | |
1.199 | 1.27% | |
1.333 | 0.30% | |
0.0091 | 0.00% | |
22.503 | 0.77% |