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 .
Mga sikat na Glossary
Mga Kaugnay na Pagbasa
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0.014411 | -2.89% | |
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0.000002014 | -7.06% | |
0.000006595 | 4.55% | |
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0.0777 | -0.38% | |
0.01735 | -2.03% | |
0.08232 | 2.29% | |
0.00000433 | 1.41% | |
19.46 | -3.81% | |
0.17273 | 0.55% | |
0.00369 | -2.89% | |
0.00445 | -4.71% | |
0.00587 | -9.41% | |
11.60 | 0.69% | |
0.16233 | 5.65% | |
0.48298 | -0.15% | |
0.00003760 | 23.32% | |
0.00001202 | -11.88% | |
38.8800 | 25.42% | |
5.72 | -1.21% | |
0.1817 | -3.56% | |
0.00009646 | -0.21% | |
0.0022977 | 0.00% | |
6.018 | -2.11% | |
0.0000679 | 4.46% | |
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0.000000001224 | -1.21% | |
0.04870 | -0.14% | |
0.3613 | -6.18% | |
0.00018339 | -0.23% | |
0.01623 | 1.82% | |
0.68341 | 0.84% | |
0.002865 | 12.80% | |
0.04083 | 0.72% | |
3117 | 0.48% | |
0.02730 | -8.94% | |
0.034510 | -0.80% | |
0.04944 | -9.35% | |
0.05475 | 7.12% | |
0.2486 | -1.04% | |
0.1384 | 0.07% | |
0.00000000000001 | -83.33% | |
0.002201 | 4.51% | |
0.006785 | 0.16% | |
1.260 | 13.41% | |
0.00012964 | 39.40% | |
0.0017 | 0.00% | |
0.06929 | -0.35% | |
0.00044402 | -1.94% | |
34.1696 | -0.03% | |
1.6852 | -0.07% | |
0.01670 | 0.24% | |
0.020207 | 0.60% | |
0.5593 | 0.61% | |
0.4404 | -11.71% | |
0.1329 | -1.63% | |
0.0000000031 | -6.06% | |
0.06538 | -2.13% | |
0.16300 | -0.60% | |
0.000000422 | -7.05% | |
0.0110 | -14.06% | |
0.002188 | 2.20% | |
0.0190 | 54.47% | |
0.00965 | 29.53% | |
0.3470 | -0.17% | |
0.00048 | 0.00% | |
0.00000068 | -1.45% | |
0.8080 | -0.68% | |
0.03062 | -7.66% | |
92.7869 | 0.97% | |
0.0000000045 | -8.16% | |
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0.0000651 | 6.03% | |
13.69 | -2.49% | |
0.0001287 | 7.25% | |
1.8001 | -9.15% | |
0.03100 | -10.51% | |
0.0283 | -6.29% | |
0.0004321 | 5.39% | |
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0.03401 | -9.86% | |
0.00006440 | -0.11% | |
0.000484 | 6.14% | |
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0.0000000345 | -1.71% | |
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0.00721 | 2.85% | |
5.28 | -3.83% | |
0.000000000336 | 0.30% | |
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0.9746 | -2.05% | |
0.10430 | 1.47% | |
0.00014291 | -3.37% | |
0.013784 | -0.36% | |
0.04463 | -5.48% | |
0.2017 | -3.31% | |
0.0000186 | -4.62% | |
0.00580000 | 0.00% | |
0.000181 | -0.55% | |
0.0009367 | 4.11% | |
0.00703 | -1.95% | |
0.05997 | 28.97% | |
0.2737 | -7.47% | |
0.00601 | -2.44% | |
231.5 | -3.38% | |
0.005352 | 1.38% | |
0.01113 | -3.55% | |
0.002884 | 21.07% | |
0.005301 | 6.96% | |
0.00273 | 3.41% | |
0.00503 | -4.37% | |
0.0203 | -1.46% | |
0.4831 | -2.29% | |
0.0320 | -3.03% | |
0.00350 | 239.81% | |
0.000510 | 0.00% | |
0.4502 | -1.08% | |
0.03112 | -2.63% | |
0.017996 | -0.07% | |
0.00173 | -2.26% | |
0.02093 | 13.87% | |
0.17309 | -2.53% | |
0.00039071 | -0.16% | |
0.13177 | -0.31% | |
0.014723 | -14.91% | |
0.525 | -0.76% | |
0.00219 | -2.23% | |
0.2432 | -0.08% | |
0.1765 | -0.28% | |
1.398 | -0.36% | |
0.03037 | -7.30% | |
0.00000347 | 0.00% | |
0.00003953 | 0.38% | |
0.002228 | 90.59% | |
0.5213 | -5.77% | |
0.1598 | -6.55% | |
0.0592 | -4.67% | |
0.436 | -3.54% | |
0.01560 | -15.63% | |
0.9189 | 0.91% | |
0.0125459 | 0.33% | |
0.03347 | 14.78% | |
2.759 | -1.75% | |
0.000348 | -83.84% | |
0.000139 | -2.11% | |
0.08978 | -0.80% | |
0.0002128 | -3.58% | |
0.00499 | -0.99% | |
0.1797 | -2.39% | |
0.000000047263 | -3.94% | |
0.00004573 | -0.37% | |
0.00757 | -0.53% | |
3.522 | -4.76% | |
0.5894 | 0.96% | |
0.00139 | 0.00% | |
0.2693 | -0.19% | |
0.01848 | 8.83% | |
0.00535 | -2.01% | |
0.0102 | 20.00% | |
0.3181 | 1.43% | |
0.837 | -4.23% | |
0.00055 | -3.51% | |
0.002351 | 1.47% | |
0.0000000001899 | -0.94% | |
0.00450 | 0.00% | |
0.009568 | 0.71% | |
0.00234 | -1.68% | |
0.00000006433 | -3.26% | |
0.000119 | 0.00% | |
0.00275 | -2.14% | |
0.000852 | 0.83% | |
0.005961 | -16.73% | |
0.01559 | -3.47% | |
0.008100 | 0.04% | |
0.004885 | -2.67% | |
0.001699 | 6.32% | |
0.04990 | 8.86% | |
0.1515 | -5.78% | |
0.002010 | -4.96% | |
0.0777 | -86.83% | |
0.0666 | -4.45% | |
0.006148 | -1.51% | |
2.705 | -2.24% | |
0.000000001275 | -14.83% | |
0.004176 | 22.00% | |
0.00353 | -7.11% | |
7.12 | -6.68% | |
0.000200620 | 0.80% | |
0.00696 | -3.87% | |
0.000312 | 19.08% | |
2.7147 | 0.48% | |
0.000409 | -1.21% | |
0.000000437 | -12.25% | |
0.574 | 7.29% | |
0.004962 | -0.76% | |
0.1853 | -2.37% | |
0.03004 | -7.03% | |
0.000362 | 0.28% | |
0.7055 | 0.92% | |
0.6472 | -4.46% | |
0.1520 | -1.30% | |
0.000390 | 1.56% | |
0.004260 | 1.84% | |
0.00320502 | -3.10% | |
0.6140 | -3.34% | |
0.002759 | 0.00% | |
0.9475 | -2.17% | |
1.014 | -17.76% | |
19.1500 | 0.79% | |
0.003939 | 1.44% | |
0.002347 | -11.83% | |
0.0802 | -2.20% | |
0.0003757 | 3.38% | |
9.170 | 2.66% | |
0.769 | -5.18% | |
0.001954 | -11.22% | |
0.0527 | -0.94% | |
0.474 | -5.39% | |
0.0029640 | -1.17% | |
0.0875 | 59.09% | |
0.01492 | -5.33% | |
0.1712 | -1.67% | |
0.01464 | -0.27% | |
0.005934 | -6.40% | |
1.7628 | -0.09% | |
0.0000016482 | -0.63% | |
0.00006695 | -0.13% | |
0.000098 | 0.00% | |
6.32 | -8.41% | |
0.001800 | -0.44% | |
0.0000465 | 5.20% | |
0.013293 | -4.21% | |
0.000248 | -24.16% | |
18.1389 | -3.78% | |
0.0000149 | 0.00% | |
0.05712 | -25.30% | |
0.00000014159 | -3.11% | |
0.02000 | -8.76% | |
0.0002732 | -6.79% | |
0.0097 | -12.61% | |
0.000795 | 12.13% | |
0.0000000428 | 10.03% | |
1.1652501 | 3.52% | |
0.0424 | -0.47% | |
0.1901 | -5.75% | |
0.001437 | -6.20% | |
0.3540 | -5.07% | |
0.063405 | -1.18% | |
0.00000001171 | -1.35% | |
0.0041 | -2.38% | |
0.00452 | 0.67% | |
0.015182 | 6.28% | |
0.4832 | -0.60% | |
0.05575 | -2.07% | |
0.0002405 | -6.46% | |
5.398 | -2.42% | |
1.0802 | -3.91% | |
0.002980 | -2.58% | |
17.31 | -4.63% | |
0.769 | -3.51% | |
0.002033 | 8.31% | |
0.0023 | 0.00% | |
0.007744 | 1.67% | |
0.01153 | -3.19% | |
0.00000003401 | -2.63% | |
1969.41 | -3.41% | |
0.0000240 | -0.83% | |
0.00935 | 9.74% | |
0.0025 | 0.00% | |
0.001430 | -17.20% | |
0.02814 | 6.15% | |
0.7609 | -10.15% | |
0.000890 | 10.29% | |
16.76 | -1.47% | |
0.01251 | 0.32% | |
0.05966 | 3.13% | |
0.001623 | -11.50% | |
0.00782 | -13.11% | |
10.76 | -5.03% | |
27.01 | -3.64% | |
0.000502 | 0.20% | |
0.05116 | 13.44% | |
0.6651 | -4.45% | |
0.85314 | 0.15% | |
0.0009700 | 1.57% | |
0.02318 | -1.49% | |
0.002753 | -3.57% | |
0.003915 | -1.93% | |
0.005810 | 0.99% | |
0.0006002 | -1.91% | |
0.0574 | -8.89% | |
0.1765 | -1.51% | |
0.000741 | -24.46% | |
0.01455 | -10.52% | |
0.3557 | 2.98% | |
0.0145 | -7.64% | |
15.02 | -4.33% | |
0.1700 | 0.59% | |
0.01575 | -7.68% | |
0.01756 | 2.75% | |
0.601 | -1.15% | |
0.0158 | -3.07% | |
0.03400 | -8.16% | |
0.0003183 | -15.21% | |
0.0319 | -2.15% | |
6.3814 | 2.34% | |
0.51692 | -11.11% | |
1.744 | -2.90% | |
0.00211 | -3.21% | |
0.000000001595 | -8.44% | |
0.002446 | -1.65% | |
0.02628 | -4.75% | |
8.34 | -3.25% | |
0.0000285 | -40.63% | |
0.003568 | 8.02% | |
3120.61 | 0.17% | |
0.476 | -3.45% | |
0.07014 | 3.51% | |
5.387 | 2.08% | |
0.00842 | -3.66% | |
0.00005982 | -2.17% | |
0.0003407 | -14.35% | |
0.000533 | -8.10% | |
1.7511 | 0.41% | |
0.00063 | -14.86% | |
0.596 | -2.93% | |
2.6574 | -2.65% | |
0.00003454 | -4.51% | |
0.03462 | -4.81% | |
6.4004 | 0.00% | |
0.002358 | -0.25% | |
0.0106 | 1.92% | |
2.558 | -3.51% | |
0.1263 | -1.79% | |
12.82 | -1.54% | |
0.000700 | -3.31% | |
0.0000544 | -1.45% | |
0.4770 | -3.85% | |
0.01313 | -13.45% | |
0.00001168 | -2.99% | |
1.970 | -2.38% | |
0.0260 | -3.35% | |
9.624 | -1.03% | |
0.0000002925 | 0.00% | |
0.01832 | 0.05% | |
0.030121 | -2.41% | |
0.000001300 | -6.20% | |
0.04183 | -1.23% | |
0.3826 | -5.62% | |
0.03670 | -4.03% | |
0.0004386 | -1.31% | |
0.011991 | 0.02% | |
0.000222 | -3.90% | |
0.01360 | -4.90% | |
0.01152 | 2.86% | |
0.004214 | -7.61% | |
0.0007742 | 4.40% | |
0.0000000845 | -7.75% | |
0.03230 | -0.19% | |
0.2469 | -2.68% | |
0.003000 | -2.38% | |
0.0060 | -4.76% | |
0.0844 | -9.25% | |
0.000001466 | -3.11% | |
0.4136 | -1.69% | |
0.004899 | 33.52% | |
0.2455 | -2.39% | |
0.1881 | -0.95% | |
0.0112 | -50.66% | |
0.003431 | -2.64% | |
0.0002016 | -7.27% | |
0.2470 | -3.02% | |
0.00596 | -1.16% | |
0.00898 | -23.12% | |
0.002335 | -15.83% | |
0.0617 | -2.68% | |
0.0621 | -1.11% | |
0.0004014 | -0.45% | |
0.001833 | -9.30% | |
0.1075 | -6.52% | |
0.000086 | -8.51% | |
0.0208 | 1.46% | |
0.001556 | -1.71% | |
0.000173 | -11.28% | |
0.02714 | -7.50% | |
4.280 | -4.85% | |
0.001133 | -2.58% | |
7.4296 | -8.60% | |
0.0480 | -2.04% | |
0.0839 | -5.84% | |
0.0110 | -1.79% | |
0.1860 | -4.32% | |
0.01892 | -8.42% | |
0.00000000008322 | -8.64% | |
5.0124 | -6.57% | |
0.000654 | -0.61% | |
0.1061 | -4.93% | |
0.002823 | 12.78% | |
0.237 | -5.20% | |
0.06413 | -10.06% | |
0.01347 | 2.12% | |
0.0000002619 | -3.61% | |
0.00173 | 13.82% | |
0.0001899 | 5.09% | |
0.000000000233 | -2.92% | |
0.1980 | -1.54% | |
0.7615 | 0.01% | |
0.001711 | -3.66% | |
0.01626 | 11.60% | |
0.03644 | -3.50% | |
0.0140 | -7.28% | |
0.00000411 | -4.86% | |
0.00000001355 | -14.02% | |
0.00957 | 1.48% | |
2.137 | -2.78% | |
0.0000020 | -4.76% | |
0.004897 | -1.47% | |
0.00002262 | -1.57% | |
0.05098 | -2.75% | |
0.002463 | -1.99% | |
0.21774 | -5.47% | |
0.0042 | -79.21% | |
2.957 | -2.89% | |
0.2975 | -1.98% | |
0.002800 | 14.29% | |
0.1473 | -1.93% | |
1.036 | 0.10% | |
0.000800 | -0.62% | |
2.429 | 0.91% | |
0.01125 | -7.10% | |
0.0575 | -3.69% | |
0.0904 | -3.32% | |
1306 | -7.77% | |
0.17231 | -2.06% | |
0.2196 | 4.72% | |
0.001590 | -4.10% | |
0.0051082 | 0.01% | |
0.0000000000000138 | -3.50% | |
54.64 | -9.13% | |
0.2740 | -0.76% | |
0.1221 | -9.22% | |
0.0000089 | 2.30% | |
0.003876 | 0.26% | |
0.546 | -2.15% | |
306.3 | -0.45% | |
0.01517 | -4.05% | |
0.3065 | -4.22% | |
0.2682 | -1.58% | |
0.6536 | -5.12% | |
0.000267 | -11.00% | |
0.0104 | 8.33% | |
0.004461 | -6.06% | |
0.1113 | -19.41% | |
0.09179 | -4.42% | |
15.95 | -3.04% | |
0.1513 | -2.13% | |
0.00917 | -11.32% | |
0.1246 | -1.35% | |
0.001667 | -15.89% | |
0.000239 | -9.47% | |
0.00428 | -3.60% | |
0.10943 | -3.00% | |
0.3500 | -1.69% | |
0.8129 | -1.76% | |
0.001339 | -3.32% | |
0.01159 | -6.08% | |
0.00002680 | -3.84% | |
0.00000654 | -5.22% | |
0.02400 | 300.00% | |
0.553 | -4.33% | |
0.6344 | -12.86% | |
0.0005622 | -5.96% | |
0.778 | -3.35% | |
0.012200 | 0.00% | |
0.00093 | -5.10% | |
0.0501 | -0.20% | |
0.001950 | 62.36% | |
0.011888 | 9.78% | |
0.00942 | -3.38% | |
0.0803 | -4.40% | |
0.001046 | -0.76% | |
0.00000000000040 | 0.00% | |
0.0003863 | -12.36% | |
0.002220 | -4.52% | |
0.0000033 | -19.51% | |
0.1306 | -1.73% | |
0.00155 | -2.52% | |
0.0424 | -1.62% | |
0.3441 | -2.22% | |
0.453 | -1.52% | |
0.1155 | -0.26% | |
0.0743 | -1.98% | |
0.2696 | -1.28% | |
0.0989 | -1.79% | |
8.38 | -1.30% | |
0.1090 | -1.89% | |
0.0019898 | -2.80% | |
2.182 | 0.00% | |
0.386 | -0.77% | |
4.798 | -2.00% | |
0.0098 | -1.01% | |
13.56 | -1.60% | |
0.001150 | -5.27% | |
0.000853 | 0.24% | |
19.00 | -6.22% | |
0.01948 | -0.10% | |
0.0000000465 | -1.48% | |
0.003235 | -5.24% | |
0.0836 | -0.48% | |
0.0002593 | -5.33% | |
0.1244 | -4.89% | |
0.0004140 | 7.56% | |
0.2499 | -1.61% | |
0.712 | -2.20% | |
0.00001124 | 30.55% | |
0.00775 | -3.25% | |
0.0000557 | -1.76% | |
0.008749 | -2.79% | |
0.02794 | -15.38% | |
0.4290 | -0.35% | |
0.00000000000229 | 9.57% | |
0.006452 | -6.13% | |
0.0000000737 | -2.90% | |
0.0575 | -2.21% | |
0.0256 | -11.42% | |
0.00000000164 | 5.81% | |
0.00000000001896 | -2.27% | |
0.000345 | -4.43% | |
6.46 | -0.15% | |
0.0777 | 2.64% | |
0.001038 | -3.89% | |
0.04100 | -1.91% | |
0.1079 | -3.05% | |
16.31 | -2.51% | |
0.0002963 | -2.40% | |
0.00000226 | -21.25% | |
0.654 | -6.57% | |
101.25 | 0.54% | |
0.01458 | -6.24% | |
0.0876 | -2.77% | |
0.00709 | -2.34% | |
2.697 | 0.60% | |
0.1159 | -7.13% | |
0.0000085 | -3.41% | |
0.308 | -3.75% | |
0.2996 | -5.49% | |
0.0000000615 | 7.33% | |
0.000091 | 0.00% | |
1.215 | -1.70% | |
0.0000064900 | -1.67% | |
0.0000551 | 24.94% | |
0.006192 | 5.13% | |
0.02826 | 5.80% | |
0.000509 | -7.29% | |
0.00000001383 | 6.38% | |
0.006500 | 0.00% | |
0.00101 | 0.00% | |
0.563 | -1.05% | |
0.1893 | -0.16% | |
0.2791 | -3.22% | |
0.010029 | -9.71% | |
0.2402 | -9.60% | |
0.0000000137 | 7.87% | |
0.00000722 | 0.00% | |
0.01135 | -1.05% | |
0.0096 | 0.00% | |
1.342 | -2.82% | |
0.3353 | -2.73% | |
0.00000000001325 | 0.08% | |
0.0054 | 25.58% | |
0.658 | -2.08% | |
0.000660 | -3.23% | |
0.0229 | -1.72% | |
0.004216 | 0.07% | |
0.2647 | -2.58% | |
1.722 | -4.12% | |
0.002801 | 18.04% | |
0.01137 | 0.00% | |
0.906 | -2.27% | |
0.1065 | -2.38% | |
5.40 | -4.93% | |
0.0569 | 9.85% | |
0.00614 | 0.16% | |
69.9 | -0.99% | |
0.01771 | -2.59% | |
0.0646 | -6.10% | |
0.00002010 | -0.64% | |
15.45 | -1.40% | |
0.0005507 | -0.85% | |
0.670 | -3.74% | |
0.003974 | -1.66% | |
0.0305 | 0.00% | |
0.001117 | 3.81% | |
0.5355 | 1.83% | |
0.000412 | 0.49% | |
0.0234 | 0.86% | |
0.0865 | -3.24% | |
0.00003076 | 0.03% | |
0.0000583 | 0.34% | |
0.000857 | -15.82% | |
0.0006549 | -2.78% | |
0.1174 | -4.08% | |
0.2559 | -2.18% | |
0.000008 | -27.27% | |
0.00681 | -2.30% | |
0.001790 | -4.18% | |
1.421 | -4.25% | |
39.16 | -3.21% | |
0.1898 | -2.22% | |
0.003058 | -3.32% | |
0.000038 | -9.52% | |
0.001621 | -1.82% | |
0.000023 | -4.17% | |
0.00031 | -3.13% | |
5.669 | -2.24% | |
0.00994 | -1.09% | |
143.62 | -5.03% | |
0.1918 | -1.99% | |
22.579 | -1.63% | |
0.750 | 0.00% | |
0.1149 | -2.38% | |
0.0758 | -4.05% | |
0.00000000000014 | 0.00% | |
0.00001726 | 6.54% | |
0.00008773 | -2.07% | |
0.00000000001080 | -7.53% | |
0.00042 | 40.00% | |
0.1453 | 2.11% | |
0.8452 | -0.12% | |
0.00000018000 | -37.89% | |
12.24 | -7.83% | |
0.00003 | 0.00% | |
0.00000000000020 | 0.00% | |
0.003589 | 43.85% | |
0.0005066 | 6.07% | |
0.5095 | -0.89% | |
0.000062 | 5.08% | |
0.00874 | -10.27% | |
0.00000351 | -3.84% | |
2.843 | -3.82% | |
0.0653 | 0.31% | |
0.8744 | 0.00% | |
0.00755 | -0.13% | |
0.0305 | -2.56% | |
0.000600 | 0.00% | |
0.00000000000449 | 5.40% | |
0.0077 | -8.33% | |
0.0000008 | 100.00% | |
0.000000000301 | -27.99% | |
0.0418 | -4.78% | |
0.00018 | -14.29% | |
16.01 | -1.96% | |
0.0294 | -2.97% | |
0.00088 | 1157.14% | |
0.00189 | -16.00% | |
0.0775 | 0.65% | |
0.000350 | 0.29% | |
0.0003574 | 1.22% | |
0.0798 | -8.17% | |
0.000916 | -3.07% | |
0.0001100 | -2.57% | |
0.03373 | -6.98% | |
1.275 | -1.39% | |
0.2157 | -1.73% | |
0.01180 | 0.00% | |
0.005978 | 37.11% | |
0.0050 | -27.54% | |
0.0000512 | -16.75% | |
0.0326 | -0.61% | |
0.00008677 | -31.68% | |
0.0424 | -2.75% | |
0.2207 | -0.27% | |
0.04175 | 2.55% | |
0.0013 | 8.33% | |
0.000002076 | -8.59% | |
0.4959 | 1.64% | |
0.02186 | -1.93% | |
0.5541 | -0.98% | |
0.01034 | -5.91% | |
0.03728 | -9.03% | |
0.0006961 | -3.99% | |
0.00743 | -4.01% | |
0.002700 | 4.98% | |
0.00082107 | -1.08% | |
0.0000000000000158 | -1.25% | |
0.003503 | -3.68% | |
0.0685 | -1.86% | |
0.05905 | -2.12% | |
0.1235 | -5.07% | |
0.000018 | 0.00% | |
0.000001606 | 1.01% | |
0.000000000004600 | -1.90% | |
0.0000008 | -20.00% | |
0.00000000003312 | -0.30% | |
2.020 | -1.08% | |
0.0005 | 0.00% | |
0.00002 | -60.00% | |
0.000000000019 | 0.00% | |
0.001200 | 0.50% | |
0.003880 | -3.60% | |
0.00000006 | 0.00% | |
0.0000032 | 10.34% | |
0.003938 | -0.10% | |
0.000791 | -6.94% | |
0.04449 | -3.01% | |
0.010200 | 0.99% | |
0.000000000037 | -7.50% | |
0.00730 | -3.95% | |
0.1750 | -3.74% | |
0.00000000003574 | 2.20% | |
0.00000000000652 | 0.15% | |
0.00010999 | 80.10% | |
0.000000000000830 | 2.72% | |
0.01246 | -6.10% | |
0.0000063 | -37.00% | |
0.05489 | -4.95% | |
0.0151 | 12.69% | |
0.000998 | -5.49% | |
0.000000000765 | 75.46% | |
0.1596 | -2.39% | |
1.2803 | -6.35% | |
0.4384 | -2.23% | |
0.0000056 | 250.00% | |
0.0012 | 0.00% | |
0.0001623 | 1.56% | |
0.03420 | -0.29% | |
0.001113 | 2.49% | |
0.00002 | -75.00% | |
0.00004 | 0.00% | |
2.2869 | -0.20% | |
50.0000 | 0.00% | |
0.02446 | -8.70% | |
0.0649 | -5.12% | |
0.00023 | -36.11% | |
0.02049 | 8.76% | |
0.000168 | -6.15% | |
0.02804 | -19.66% | |
0.0871 | -5.74% | |
0.3981 | 8.53% | |
0.000000001935 | 20.11% | |
0.1119 | -1.67% | |
0.01270 | 18.80% | |
0.0000509 | 0.39% | |
0.00001 | 0.00% | |
0.0978 | -3.36% | |
0.0000082 | -3.53% | |
0.001859 | -10.75% | |
0.00409 | -4.88% | |
0.0568 | 12.25% | |
0.000923 | -3.35% | |
0.000000088 | -12.87% | |
2.191 | 0.23% | |
0.02712 | -2.52% | |
0.024504 | 0.00% | |
0.1206 | -7.09% | |
0.0000194 | -37.42% | |
0.00236 | -4.84% | |
0.1694 | -3.14% | |
0.0118 | 1.72% | |
0.0007 | 0.00% | |
0.0001 | 0.00% | |
0.6997 | -0.01% | |
0.000019 | 0.00% | |
0.00009343 | -3.27% | |
0.00008 | -38.46% | |
0.0098 | -1.01% | |
0.00004382 | 1.55% | |
0.01743 | -3.01% | |
0.000900 | 49.50% | |
0.00000000015902 | 1.24% | |
0.00000051 | 0.00% | |
0.00000000000101 | 1.00% | |
1.73 | -27.92% | |
0.00010 | 42.86% | |
0.003466 | -4.15% | |
0.0000264 | 8.20% | |
0.00479 | -3.62% | |
0.0005769 | -3.90% | |
0.0002 | 0.00% | |
48.674 | -0.72% | |
0.000023 | -4.17% | |
1.061 | -2.48% | |
0.000000000001556 | -0.38% | |
0.0000213 | 0.47% | |
0.004523 | -5.36% | |
0.0781 | -2.98% | |
0.00013885 | -0.28% | |
0.000001955 | -0.71% | |
0.0000094 | -31.88% | |
0.00083 | -19.42% | |
0.0192 | 3.78% | |
0.0120 | 6.19% | |
0.01465 | -5.24% | |
0.000064 | 0.00% | |
0.000042 | 0.00% | |
0.000024 | -27.27% | |
0.0737 | -3.53% | |
0.6816 | -3.13% | |
0.0000442 | 34.35% | |
0.00000000000291 | 1.04% | |
0.000000000525 | 16.93% | |
0.2127 | 0.61% | |
0.000005 | -28.57% | |
0.0000001300 | 0.00% | |
0.001263 | 0.00% | |
0.0000119 | 0.00% | |
0.000189123 | -2.92% | |
0.000027 | -3.57% | |
0.000000000009 | 0.00% | |
0.000011 | 0.00% | |
0.00113 | 44.87% | |
0.0000000109 | 105.66% | |
0.0009 | 0.00% | |
0.007999 | -0.01% | |
0.000078 | 2.63% | |
0.0000193 | 0.52% | |
0.00004398 | 0.00% | |
0.0634 | -2.61% | |
1.0690 | -6.20% | |
0.01243 | -0.08% | |
0.5386 | -2.05% | |
0.0965 | -5.58% | |
0.01537 | 0.00% | |
0.09584 | -0.91% | |
0.2928 | -7.25% | |
0.413 | -0.72% | |
0.00012 | 0.00% | |
0.1042 | -1.04% | |
0.002157 | 1.70% | |
0.001276 | -2.60% | |
1.4271 | -3.89% | |
58.5600 | 0.00% | |
0.004652 | 2.65% | |
0.0001450 | 0.00% | |
0.0439 | -9.86% | |
0.02888 | -0.38% | |
17.460 | -5.04% | |
0.0003495 | 0.00% | |
0.003329 | -5.13% | |
0.08138 | 0.69% | |
0.0006499 | -5.92% | |
0.003167 | -6.02% | |
0.00385 | 0.00% | |
0.0009012 | 0.00% | |
0.005263 | -8.47% | |
0.0003940 | 0.20% | |
0.001642 | -7.23% | |
0.000057 | -3.39% | |
0.0007993 | 0.00% | |
5.976 | -0.18% | |
0.1896 | -8.67% | |
0.0000579 | -1.03% | |
0.001223 | -10.92% | |
0.002814 | -6.04% | |
0.002589 | -3.32% | |
0.002257 | -4.24% | |
0.2146 | 0.70% | |
1899.00 | 0.00% | |
0.4170 | 0.48% | |
0.0965 | -3.69% | |
0.1057 | -13.71% | |
0.04307 | -3.75% | |
0.000114 | -1.72% | |
0.4931 | -5.05% | |
0.000856 | 11.90% | |
0.1271 | -0.86% | |
1.271 | 2.83% | |
0.0395 | -1.25% | |
0.00205 | -1.44% | |
0.000119 | 0.00% | |
0.00000286 | -1.38% | |
0.00985 | -0.81% | |
3.8900 | 0.00% | |
2.78 | -4.47% | |
0.545 | 2.44% | |
0.1046 | 4.60% | |
1.000000 | 0.00% | |
0.1739 | -0.29% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
1.871 | 4.53% | |
2.672 | -1.55% | |
0.0342 | -5.26% | |
0.0522 | -0.95% | |
0.000000049 | 25.64% | |
0.0001320 | 0.00% | |
0.1321 | -1.34% | |
0.07038 | 0.01% | |
0.00737 | -2.25% | |
0.630 | -3.23% | |
0.0700 | 0.00% | |
0.000000000003 | 0.00% | |
0.001100 | -1.35% | |
0.00000080 | 0.00% | |
0.1636 | -2.21% | |
0.000216 | 0.00% | |
0.0000000030210 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0785 | -1.88% | |
1.1371 | 0.00% | |
0.4424 | 0.00% | |
0.0374 | -5.08% | |
0.0522 | -2.61% | |
0.000372 | 0.54% | |
0.0071 | 0.00% | |
0.01556 | -2.87% | |
0.000210 | 0.00% | |
1.388 | -0.29% | |
0.00775 | -2.39% | |
0.1492 | -2.23% | |
6.77 | -3.15% | |
0.0413 | -3.50% | |
0.000452 | 0.00% | |
0.0271 | 0.00% | |
0.230000 | 0.00% | |
0.000000002460 | 4.81% | |
0.00000011220 | 0.00% | |
0.00000042 | 0.00% | |
0.1204 | 0.00% | |
0.004000 | 0.00% | |
4.64 | -3.53% | |
0.000300 | 0.00% | |
0.00035 | 0.00% | |
0.000000037 | -7.50% | |
0.0005 | 0.00% | |
0.00033 | 0.00% | |
0.011926 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.0063 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001013 | 0.00% | |
0.00030000 | 0.00% | |
0.00005 | 0.00% | |
0.00006187 | 0.00% | |
0.000077 | 0.00% | |
0.001405 | 0.00% | |
0.2461 | -0.36% | |
0.000902 | 0.00% | |
0.0229 | -1.72% | |
0.000000000794 | 0.76% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.000454 | 1.11% | |
0.00000000053 | 3.92% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000045 | 0.00% | |
0.00001626 | 0.00% | |
0.000000000375 | 0.00% | |
0.00023 | -4.17% | |
0.000000008400 | 0.00% | |
0.0000002337 | 7.15% | |
0.000427 | 0.00% | |
0.0063 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.9900 | 0.00% | |
0.0055 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000000000101 | 0.00% | |
0.001290 | 0.00% | |
0.00000011 | 0.00% | |
0.0000006646 | -0.06% | |
0.001000 | 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% | |
0.00000000002387 | 0.00% | |
0.00425 | 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% | |
0.0195 | 0.00% | |
0.0001000 | 0.00% | |
0.000000000108 | -7.69% | |
0.05056 | 0.00% | |
1.3575 | 0.00% | |
0.00136 | 0.00% | |
0.000092 | 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% | |
0.0084 | 0.00% | |
0.018559 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.00000151 | 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% | |
0.000600 | 0.00% | |
0.000383 | 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% | |
0.001791 | 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% | |
1.257 | -3.23% | |
3.7189 | 0.00% | |
0.00000011 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
0.0013 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.001120 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.002500 | 0.00% | |
0.0036 | 0.00% | |
0.1769 | 0.00% | |
0.0000000207 | 5.61% | |
0.0005 | 0.00% | |
0.000258 | 0.00% | |
0.000632 | 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% | |
0.04484 | 3.03% | |
0.0550 | 0.00% | |
0.004356 | -1.87% | |
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% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.0864 | 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% | |
0.000446 | 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% | |
0.1725 | 0.00% | |
0.03786 | 0.00% | |
0.01463 | 0.00% | |
0.01324 | -3.36% | |
0.0000073 | -15.12% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.00126 | 0.00% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
0.0000008 | 0.00% | |
1.3222 | 0.63% | |
0.00995 | 0.00% | |
0.00390 | 0.00% | |
0.0000325 | 0.00% | |
0.017744 | 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% | |
0.1600 | 0.00% | |
0.000000005 | 0.00% | |
0.001035 | 0.00% | |
0.001518 | 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% | |
0.00046 | 0.00% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00013699 | 0.00% | |
0.002563 | 0.00% | |
0.00625 | 0.00% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000700 | 0.00% | |
0.01030 | 0.00% | |
3.7449 | 0.00% | |
0.008231 | 0.00% | |
0.00233 | 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% | |
0.00622 | 0.00% | |
0.000000000129 | 0.00% | |
0.000426832 | 0.00% | |
0.000001300 | -45.83% | |
0.00002801 | 0.00% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.0000245 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.0030487 | 0.00% | |
0.000003726 | 0.00% | |
0.000510 | 0.00% | |
0.00218 | 0.00% | |
0.002100 | 0.00% | |
0.00170 | 0.00% | |
0.0620 | 0.00% | |
0.000055 | 0.00% | |
0.3101 | 0.00% | |
0.0000211 | 0.00% | |
0.4400 | 0.00% | |
1.4371 | 0.00% | |
0.0002100 | 0.00% | |
0.0000259 | 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% | |
0.000000000773 | -3.38% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02649 | -0.34% | |
0.4243 | 0.21% | |
0.315 | -1.25% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
0.0091 | 0.00% |