What Is a ZkEVM and How Can It Enhance the Ethereum Ecosystem?
Innovating Fusion: Zero-Knowledge Proofs and Rollup Technology
Before delving into zkEVM, let's first revisit two critical cornerstones: zero-knowledge proofs and Ethereum's rollup solution. The cryptographic concept of zero-knowledge proofs, as the name suggests, allows verifying the authenticity of a statement without revealing its specific content. This groundbreaking technology enables blockchain networks to validate transactions while preserving user privacy.
Rollups are Layer 2 scaling solutions introduced by Ethereum to tackle network congestion and enhance transaction processing efficiency. They bundle numerous transactions off the main chain and compress them into a single transaction to be submitted to the mainnet, significantly boosting throughput and reducing the cost per transaction.
Zero-knowledge rollups (or ZK-rollups) take this a step further by integrating zero-knowledge proof technology. Instead of publicly disclosing all transaction data on the Ethereum mainnet, they only publish state changes along with their corresponding validity proofs. As a result, this not only enhances privacy but also reduces the gas fees required for verification on the Ethereum mainnet.
Ethereum Virtual Machine: The Core Engine Running Smart Contracts
The Ethereum Virtual Machine (EVM) is the bedrock driving the Ethereum network, functioning as a decentralized, Turing-complete state machine system. Within the Ethereum ecosystem, the EVM not only handles and executes transactions between accounts but also serves as the vehicle for the lifecycle of smart contracts. Each time a smart contract is executed, the EVM transitions from the current state to a new one according to predefined rules, ensuring accurate blockchain state updates.
The term "state" holds central importance in Ethereum, representing the network's current condition. This state is encoded as a Merkle Patricia Trie, an efficient data structure that securely, transparently, and verifiably organizes all account balances, contract code, and contract storage information. Through this structure, anyone can recursively query hash values to trace the entire transaction history since the Genesis block.
Maintaining consistency and consensus among Ethereum nodes is crucial, with each participating node running the same EVM to collectively confirm and update the global state. Thus, the Ethereum Virtual Machine plays an indispensable role in guaranteeing deterministic state transitions and facilitating distributed consensus across the network.
ZkEVM Operation: Seamless Integration of Zero-Knowledge Proofs in the Ethereum Ecosystem
The Zero-Knowledge Ethereum Virtual Machine (zkEVM) aims to integrate zero-knowledge proof technology into the Ethereum ecosystem, enabling secure and privacy-preserving transaction verification with high efficiency. By combining zero-knowledge proofs with the functionality of the Ethereum Virtual Machine, zkEVM introduces a novel solution for blockchain state transitions.
In operation, zkEVM first simulates an Ethereum environment by creating a zero-knowledge aggregation layer that reads and processes initial blockchain states along with all subsequent transaction data. During transaction execution, it not only computes the updated state but also generates a corresponding zero-knowledge proof. This proof guarantees the authenticity and integrity of the computations without revealing the specifics of the transactions.
When this zero-knowledge proof is submitted to on-chain validator smart contracts, they verify the validity of the transition between the initial and new states without scrutinizing each individual transaction, significantly boosting system efficiency and privacy.
Benefiting from its high compatibility with the Ethereum Virtual Machine, developers can effortlessly migrate existing Ethereum DApps and smart contracts to the zkEVM environment without needing to learn and develop complex zero-knowledge proof logic from scratch. This simplification streamlines development and offers unprecedented security for various Ethereum-based applications. Users, in turn, can enjoy familiar DApp experiences while benefiting from enhanced security and privacy, further driving innovation and growth within the Ethereum ecosystem.
A Deeper Dive into Ethereum Virtual Machine Compatibility and Equivalence
In the blockchain realm, Ethereum Virtual Machine (EVM) compatibility signifies that other blockchains or Layer 2 solutions can support smart contracts written in Ethereum's native programming language, Solidity, executing them seamlessly. This enables developers to effortlessly port existing Ethereum DApps onto these EVM-compatible chains with minimal adjustments, while users can continue using their Ethereum addresses within the new environment, maintaining smooth compatibility with popular wallets like Metamask and Trust Wallet.
Notably, projects such as LBK Chain, Avalanche's C-Chain, and Polygon have all achieved EVM compatibility, offering users a low-cost, high-efficiency trading landscape while maintaining close ties to the Ethereum ecosystem.
However, when discussing EVM compatibility, it's crucial to distinguish it from equivalence. EVM equivalence emphasizes functional and experiential parity, akin to migrating data or settings between devices on the same operating system without noticeable differences. Practically, though, some blockchains claiming EVM compatibility might exhibit disparities, similar to transitioning from an Apple to a Windows system—while cloud services can transfer files and settings, adaptation is needed to ensure original applications run smoothly and maintain feature consistency.
Thus, ZkEVM, representing a significant innovation in EVM technology, not only ensures compatibility with the Ethereum Virtual Machine, allowing for privacy-preserving execution of existing smart contracts but also strives to provide a more efficient, secure, and privacy-enhanced equivalent solution through zero-knowledge proof technology. This greatly amplifies the performance and potential of the entire Ethereum ecosystem.
Analyzing ZkEVM Types and Tradeoffs
In exploring how ZkEVM enhances the Ethereum ecosystem, it's crucial to delve into the different types of ZkEVMs and their tradeoffs between zero-knowledge (ZK) proof efficiency and Ethereum Virtual Machine (EVM) compatibility. Vitalik Buterin categorizes ZkEVMs into four main classes:
1. Class 1 (Holy Grail) ZkEVM:
This ZkEVM is fully equivalent at the consensus layer with Ethereum, meaning chain state, transaction execution, and block validation rules match the mainnet. However, it faces challenges in terms of the massive computational resources required for generating and verifying ZK proofs. Nonetheless, advancements like parallel validation at scale or application-specific integrated circuits (ASICs) can potentially improve this class's ZK proof performance.
2. Class 2 ZkEVM:
This type achieves full equivalence with the EVM at the bytecode level, allowing existing DApps, debugging tools, and developer infrastructure to migrate seamlessly. To optimize ZK proofs, Class 2 ZkEVMs modify data structures and remove operations detrimental to ZK implementation. This comes at the cost of higher fees and reduced execution efficiency, especially when ZK advantages aren't leveraged.
3. Class 2.5 ZkEVM:
As an improvement over Class 2, this variant aims to enhance ZK proof efficiency while moderately reducing gas costs, maintaining a reasonable level of EVM compatibility.
4. Class 3 ZkEVM:
Focusing more on boosting ZK proof performance, Class 3 ZkEVMs may sacrifice some EVM compatibility. By removing features like precompiles to simplify ZK proof implementation, it implies that DApps relying on these functions will need to be rewritten to adapt to the new environment.
5. Class 4 ZkEVM:
Optimizing ZK proof performance to its highest level, this category sacrifices the most compatibility, making it difficult for certain Ethereum ecosystem applications to directly port to this environment.
The Challenges and Future Outlook of ZkEVMs
Despite the tremendous potential of ZkEVMs (Zero-Knowledge Ethereum Virtual Machines) in enhancing the efficiency, privacy, and scalability of the Ethereum ecosystem, their development encounters several hurdles. Primarily, the intricacy of zero-knowledge proof technology implies that creating an efficient ZkEVM necessitates overcoming algorithm optimization and computational resource consumption issues. Currently, generating and verifying these proofs are more time-consuming and computationally intensive compared to conventional blockchain transaction validation, requiring ongoing technological breakthroughs to reduce costs and boost processing capabilities.
Secondly, widespread adoption and utilization of ZkEVMs depend on the developer community's understanding and support. While compatibility with the Ethereum Virtual Machine simplifies migration, developers still need to learn and master specific programming techniques for zero-knowledge proofs. Furthermore, ensuring the security and reliability of ZkEVMs is paramount, especially when defending against novel attack strategies.
Nonetheless, alongside these challenges, the future outlook for ZkEVMs is promising. As researchers and engineers continue to overcome technical obstacles, ZkEVMs are poised to become a pivotal driving force behind Ethereum's Layer 2 scaling solutions. In the Web3.0 era, they will provide decentralized applications with an environment that combines efficiency, security, and privacy. Moreover, with increasing projects adopting and improving upon ZkEVM technology, it's reasonable to believe that it will play a critical role in the overall development of the blockchain ecosystem, further propelling the global mass commercialization of blockchain technology.
Conclusion
In conclusion, the innovative integration of zero-knowledge proofs and aggregation techniques in the zkEVM showcases a groundbreaking advancement. This development significantly enhances privacy protection and transaction efficiency within the Ethereum ecosystem while offering a forward-thinking solution to blockchain scalability issues.
As research and technology progress, the zkEVM is poised to overcome present challenges, such as optimizing algorithm performance, improving developer usability, and strengthening security measures. In the future, it will ensure the efficient operation of decentralized applications while fostering enhanced privacy and security in the Web3.0 era, leaving a profound impact on the entire blockchain industry.
Priljubljeni glosarji
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0.6746 | -0.62% | |
0.021386 | 3.72% | |
0.1422 | -1.66% | |
0.2798 | 1.27% | |
0.012309 | -25.07% | |
0.2515 | -4.55% | |
0.00003944 | -0.25% | |
0.000185 | 1.65% | |
0.532 | 2.31% | |
0.0318 | 1.27% | |
0.4594 | -0.56% | |
0.8884 | -0.98% | |
0.5174 | -2.43% | |
0.929 | -1.28% | |
0.0242 | 1.26% | |
0.5972 | -0.43% | |
0.00009915 | 0.06% | |
0.0000604 | -0.66% | |
0.0330 | 3.13% | |
0.000506 | 0.00% | |
92.37 | 0.97% | |
0.005710 | 8.25% | |
0.0123287 | -1.66% | |
0.002561 | 0.08% | |
0.0002309 | -3.31% | |
0.2467 | 0.86% | |
0.618 | 0.98% | |
0.28184 | -6.01% | |
0.00737 | -3.53% | |
0.014830 | 24.60% | |
0.00000347 | 0.00% | |
3046 | 0.13% | |
0.00000004107 | 2.47% | |
0.000000001497 | 0.00% | |
0.0100 | -5.66% | |
0.2092 | 0.97% | |
2.706 | 1.81% | |
0.04322 | -8.24% | |
24.14 | -4.58% | |
0.000455 | 2.71% | |
16.16 | 0.62% | |
0.00308 | -5.81% | |
0.005366 | 0.75% | |
0.00717 | 8.14% | |
0.00502 | -0.99% | |
0.00450 | 1.12% | |
0.00000000009375 | 3.21% | |
0.0817 | 9.22% | |
1.7787 | 23.88% | |
0.000770 | -3.39% | |
0.1107 | -3.06% | |
15.05 | 3.22% | |
0.2145 | 3.72% | |
0.01213 | -5.09% | |
0.1280 | 3.23% | |
0.942 | 0.96% | |
0.00304 | -12.39% | |
0.00140 | 0.00% | |
0.002043 | -7.47% | |
0.670 | 0.90% | |
0.3411 | 0.15% | |
0.3670 | 2.51% | |
0.872 | 1.28% | |
0.00175 | 6.06% | |
0.12548 | -1.71% | |
1.7625 | -1.64% | |
0.4510 | 0.11% | |
0.05792 | 7.78% | |
0.003544 | 30.10% | |
0.00440 | 1.15% | |
0.00435 | 4.07% | |
0.0695 | 1.16% | |
0.7080 | 0.25% | |
2155.79 | 1.28% | |
0.006038 | -2.77% | |
0.0446 | 6.70% | |
0.0000305 | -32.22% | |
0.01754 | 2.27% | |
0.0000000347 | 2.06% | |
0.000260 | -2.99% | |
0.00069 | -9.21% | |
0.3239 | -6.63% | |
0.0000000363 | 1.68% | |
0.3131 | -1.14% | |
0.008066 | -0.27% | |
0.7448 | 18.73% | |
0.00683 | 0.00% | |
0.3085 | 10.57% | |
7.27 | 3.71% | |
1.023 | -12.04% | |
0.004940 | -1.08% | |
0.00080 | 8.11% | |
0.000839 | 0.72% | |
0.2093 | 0.14% | |
0.000369 | -0.81% | |
0.493 | -3.33% | |
0.01128 | 6.42% | |
0.0840 | 2.19% | |
0.2231 | 0.13% | |
0.0042 | 0.00% | |
0.002069 | 13.93% | |
0.00006405 | -0.68% | |
1.047 | 2.35% | |
0.002361 | -2.07% | |
0.003031 | 0.26% | |
0.000387 | -0.26% | |
0.000715 | -15.88% | |
0.0002832 | 0.43% | |
17.02 | 0.29% | |
0.03376 | 1.53% | |
253.0 | 0.56% | |
0.0735 | -0.94% | |
0.519 | 0.39% | |
0.05620 | -6.74% | |
31.05 | 0.29% | |
0.2730 | 0.89% | |
0.57888 | 9.36% | |
0.01469 | 0.34% | |
6.742 | -0.93% | |
0.06526 | -0.43% | |
0.001328 | -4.80% | |
0.00486 | -6.18% | |
2.776 | -0.36% | |
0.001777 | -13.11% | |
0.00309728 | -0.75% | |
160.71 | 7.39% | |
0.5176 | -6.28% | |
0.7321 | -0.71% | |
0.064634 | 0.15% | |
5.820 | 0.64% | |
0.1684 | 2.06% | |
0.00050888 | -11.73% | |
0.000000044825 | -0.21% | |
0.0000014992 | 5.57% | |
0.00551 | -8.77% | |
0.1918 | 6.73% | |
2.973 | 1.33% | |
0.2121 | 1.58% | |
0.9001 | 0.36% | |
0.000663 | -1.19% | |
0.00001354 | 3.83% | |
7.653 | -5.48% | |
0.5182 | 1.85% | |
0.028989 | -7.45% | |
0.00598 | 1.18% | |
0.01758 | -7.67% | |
0.0717 | 17.54% | |
0.1845 | 0.76% | |
185.57 | 2.43% | |
1.4253 | 7.61% | |
0.00493 | -0.20% | |
0.00969 | -1.92% | |
0.0594 | 3.30% | |
0.0000194 | 0.00% | |
0.001343 | -20.58% | |
0.001282 | -17.93% | |
0.7606 | 2.12% | |
0.000729 | -14.34% | |
0.00454 | 8.10% | |
0.000001558 | -2.81% | |
0.03897 | 1.78% | |
0.00000014404 | -1.04% | |
1.411 | 6.89% | |
4.4022 | 0.00% | |
0.2099 | 1.40% | |
0.03684 | -0.11% | |
0.0977 | 2.30% | |
0.0853 | 0.83% | |
0.0131 | 84.51% | |
0.01192 | 0.17% | |
3.358 | 0.90% | |
0.006425 | 2.65% | |
0.0060 | -9.09% | |
0.0000001353 | 6.62% | |
0.01120 | 28.44% | |
0.00980 | -25.42% | |
17.81 | -0.22% | |
0.1015 | -0.39% | |
0.5606 | 1.45% | |
0.2084 | 3.53% | |
0.03421 | 1.12% | |
0.0292 | -4.26% | |
0.0022476 | -2.13% | |
0.0902 | 0.89% | |
0.0000000195 | -10.14% | |
0.0457 | -1.30% | |
0.00002195 | -0.36% | |
0.000001967 | 8.67% | |
0.00000070 | 0.00% | |
0.001770 | -6.05% | |
0.0000000146 | 2.10% | |
0.000403 | -12.20% | |
0.000914 | -3.28% | |
1.2862 | -1.89% | |
0.5553 | 5.23% | |
3070.71 | 1.31% | |
0.003488 | 1.10% | |
0.02687 | -5.92% | |
0.003665 | 29.37% | |
0.0107 | -5.31% | |
9.95 | 0.10% | |
0.4945 | 6.05% | |
0.4289 | -2.46% | |
0.1478 | 1.58% | |
0.01277 | 0.31% | |
0.002651 | -11.84% | |
0.0000533 | 11.51% | |
0.008899 | 20.26% | |
0.00000762 | 0.13% | |
0.2195 | 5.68% | |
0.0000000000000183 | 31.65% | |
0.864 | 0.12% | |
0.0002026 | 5.85% | |
0.03424 | -0.44% | |
0.1903 | 0.90% | |
0.002392 | -2.65% | |
0.00250 | 1.63% | |
0.02543 | -0.47% | |
0.0000000412 | -1.44% | |
0.000000000250 | -1.19% | |
0.00944 | -0.32% | |
0.003588 | -7.09% | |
0.0128 | 4.92% | |
0.0002663 | 1.76% | |
0.581 | 1.93% | |
1.548 | 12.75% | |
0.01229 | -10.55% | |
0.09400 | 4.43% | |
0.1453 | 0.35% | |
0.0725 | -3.59% | |
0.004662 | 8.29% | |
0.000590 | -13.99% | |
0.2764 | -2.26% | |
0.004800 | -6.41% | |
0.00818 | -0.61% | |
6.6785 | 4.52% | |
0.000610 | 16.63% | |
323.7 | -0.15% | |
0.00808 | 7.02% | |
0.11033 | 3.25% | |
0.01944 | 4.68% | |
12.47 | 1.55% | |
0.3443 | -2.41% | |
0.003964 | 34.37% | |
0.02527 | 2.52% | |
0.0075 | -1.32% | |
0.000877 | -5.19% | |
0.08118 | 2.25% | |
0.002120 | 4.54% | |
5.679 | -1.54% | |
0.01756 | 0.29% | |
1.806 | 0.56% | |
0.00299 | 5.65% | |
18.62 | 2.53% | |
0.01535 | 1.05% | |
0.1672 | -6.01% | |
0.001623 | -6.08% | |
0.00000001285 | -6.27% | |
6.533 | 4.70% | |
0.1931 | 1.58% | |
0.0110 | 13.40% | |
0.0000000822 | -2.49% | |
0.0003738 | -8.83% | |
7.068 | -1.35% | |
0.013001 | 1.53% | |
0.02405 | -1.39% | |
0.0108 | 5.88% | |
0.0797 | 0.00% | |
0.08385 | 14.67% | |
0.06844 | 5.49% | |
1.3101 | -0.59% | |
0.2946 | -9.60% | |
6.6975 | -0.54% | |
0.0927 | 2.21% | |
0.002868 | -12.29% | |
0.002748 | -2.90% | |
8.15 | 0.12% | |
0.00022510 | 48.93% | |
0.001113 | -3.97% | |
0.541 | 0.74% | |
0.01814 | 12.18% | |
1.1928001 | -1.52% | |
0.7660 | -0.09% | |
0.3142 | 3.25% | |
0.0267 | 0.38% | |
0.04239 | 5.11% | |
0.0404 | 2.02% | |
0.004113 | -0.36% | |
0.00635 | -1.24% | |
0.0114 | -6.56% | |
0.5280 | -0.23% | |
0.000506 | 0.20% | |
0.00812 | 8.70% | |
0.13013 | -0.91% | |
0.0000070 | -7.89% | |
2.370 | -5.05% | |
0.00000399 | -0.50% | |
0.000060 | -35.48% | |
0.00103 | -3.74% | |
0.01752 | 0.23% | |
0.04119 | 0.02% | |
1.482 | 0.27% | |
0.008958 | -8.18% | |
0.01252 | -0.24% | |
0.00003 | -25.00% | |
0.1126 | -0.71% | |
0.0355 | -0.84% | |
0.01362 | 2.10% | |
0.2846 | 0.07% | |
0.018755 | 5.70% | |
0.0000509 | -1.17% | |
0.0000000002083 | 5.26% | |
0.001513 | 3.28% | |
0.001199 | 10.61% | |
0.0189 | 3.85% | |
0.0107 | 5.94% | |
0.1422 | -3.72% | |
0.01234 | -10.71% | |
6.4003 | 0.00% | |
0.01540 | 5.12% | |
0.01740 | 1.10% | |
0.003556 | -5.07% | |
0.01831 | -0.16% | |
0.00002722 | -1.09% | |
0.0009 | 0.00% | |
0.02998 | -3.29% | |
0.1488 | -2.36% | |
0.372 | -3.13% | |
1.1905 | -0.26% | |
0.000452 | -1.53% | |
0.001878 | 18.26% | |
0.000000002133 | 6.60% | |
0.0051068 | 0.12% | |
3.400 | -0.35% | |
77.1 | -0.26% | |
7.46 | -1.45% | |
0.003959 | 0.43% | |
1.3780 | 2.31% | |
0.1411 | -1.26% | |
0.000908 | -18.20% | |
0.4015 | -7.00% | |
0.000000471 | -1.46% | |
0.000080 | -4.76% | |
0.0181 | -8.59% | |
0.0000691 | -4.43% | |
0.05700 | 3.69% | |
0.0000000632 | -4.68% | |
0.004839 | 5.20% | |
0.05966 | 2.51% | |
0.2620 | 0.34% | |
0.812 | -3.79% | |
0.0390 | 1.56% | |
0.1378 | -0.79% | |
17.125 | -3.50% | |
0.000205 | -12.39% | |
0.1633 | 4.68% | |
0.2546 | -0.27% | |
0.0215 | 0.00% | |
0.008036 | -6.88% | |
0.0000089 | 1.14% | |
0.3846 | 7.28% | |
0.2021 | 0.05% | |
0.00384 | 7.56% | |
0.0238 | 0.00% | |
0.0529 | -0.38% | |
0.2938 | 0.65% | |
0.1426 | -1.04% | |
0.00512 | -0.19% | |
0.000001620 | 0.81% | |
50.569 | -3.07% | |
6.3746 | 4.77% | |
0.0000631 | 3.95% | |
0.00006 | 20.00% | |
0.1136 | 0.98% | |
0.005336 | 2.18% | |
0.002027 | -4.52% | |
0.000124 | -4.62% | |
0.0383 | 0.00% | |
0.000155 | -12.92% | |
0.3085 | -2.74% | |
0.715 | -1.24% | |
0.009375 | 6.21% | |
0.000024 | 9.09% | |
0.002999 | 0.00% | |
0.00025530 | 8.51% | |
0.0648 | 2.37% | |
0.00295 | 4.61% | |
0.016785 | 4.42% | |
1241 | -0.16% | |
0.0000003091 | -6.73% | |
0.000624 | -2.65% | |
0.00009159 | -0.67% | |
11.10 | -9.31% | |
0.0062 | -6.06% | |
0.002722 | -9.08% | |
0.0789 | -4.94% | |
0.1172 | 7.52% | |
0.002702 | 2.23% | |
0.300 | -42.53% | |
0.0000019 | 0.00% | |
0.2716 | 1.91% | |
0.001774 | 0.17% | |
0.013950 | 3.33% | |
0.002583 | -13.90% | |
0.00291 | -14.91% | |
0.001273 | 3.50% | |
0.01741 | 0.64% | |
0.0405 | -19.00% | |
0.0006071 | 4.33% | |
0.790 | 1.02% | |
0.000059 | -36.56% | |
0.000277213 | -2.37% | |
18.07 | 1.01% | |
0.002264 | -0.66% | |
0.0497 | 0.40% | |
0.0000002220 | -1.55% | |
0.000405 | 15.71% | |
0.004887 | 9.16% | |
0.003702 | -7.96% | |
0.000081 | -5.81% | |
9.14 | -3.69% | |
0.01126 | -0.18% | |
0.02846 | -10.98% | |
0.02420 | 1.55% | |
0.00052 | 0.00% | |
0.003363 | -3.45% | |
0.00010280 | -16.20% | |
0.678 | -0.59% | |
0.001900 | 11.76% | |
1.876 | -3.30% | |
0.01771 | -1.61% | |
0.002551 | 2.95% | |
23.055 | 0.54% | |
0.6285 | 0.80% | |
0.0000000030005 | 0.03% | |
0.01644 | -0.36% | |
0.0813 | 2.91% | |
0.0000594 | 1.37% | |
0.0267 | -0.74% | |
0.000755 | 7.55% | |
0.000740 | 16.90% | |
0.0978 | 0.20% | |
0.0590 | -1.34% | |
0.00513 | 10.09% | |
0.000000001771 | -0.51% | |
0.9332 | 5.37% | |
0.00865 | 16.11% | |
0.00000007769 | -1.02% | |
0.004175 | -1.16% | |
0.001021 | 2.10% | |
0.688 | -2.96% | |
0.1481 | 12.88% | |
0.528 | 0.76% | |
2.193 | 0.37% | |
0.000277 | -1.42% | |
0.00025649 | -0.01% | |
0.00000385 | -3.51% | |
0.1304 | 1.80% | |
0.0001 | 0.00% | |
0.000000000004448 | -1.79% | |
0.745 | -1.32% | |
0.000000494 | 2.70% | |
0.03588 | -10.46% | |
0.036271 | -2.29% | |
0.0070 | -4.11% | |
0.2196 | -5.75% | |
0.0785 | 1.68% | |
0.00129 | -2.27% | |
0.1510 | 3.57% | |
2.090 | -3.69% | |
0.000000000708 | -8.88% | |
0.0573 | 1.96% | |
0.000290 | 16.00% | |
0.417 | -0.48% | |
0.001170 | -2.99% | |
0.000194 | 2.65% | |
0.0651 | -4.12% | |
0.03244 | -0.64% | |
0.01064 | 1.04% | |
0.0000524 | 0.58% | |
0.000983 | 1.55% | |
0.00649 | -0.15% | |
0.0015 | -25.00% | |
0.5401 | -0.26% | |
0.0427 | -6.15% | |
0.000869 | 14.04% | |
0.1067 | -0.19% | |
0.05523 | 2.01% | |
0.04337 | 9.41% | |
0.0843 | -1.29% | |
1.154 | -6.03% | |
0.0005003 | -2.74% | |
0.00296 | 2.42% | |
0.01863 | 3.04% | |
0.0564 | -4.73% | |
0.00000000000101 | -2.88% | |
0.000432 | 2.13% | |
0.0000049 | -2.00% | |
0.000000000001673 | -0.24% | |
0.0117 | -11.36% | |
78.93 | 7.07% | |
0.001124 | 0.72% | |
0.000000000000883 | 7.42% | |
0.000332 | 1.22% | |
0.01428 | 0.07% | |
0.01681 | -3.28% | |
0.000644 | -0.77% | |
0.000000001868 | 1.47% | |
0.000540 | 93.55% | |
0.994 | -2.74% | |
0.0170 | 24.09% | |
0.00000000015733 | 0.05% | |
0.00390 | -2.50% | |
0.01244 | -7.03% | |
0.00000000001470 | 4.63% | |
0.001160 | 0.87% | |
0.7861 | -0.14% | |
0.0072 | -68.14% | |
0.0749 | -0.93% | |
0.5072 | 2.92% | |
0.000600 | 100.00% | |
0.000034 | 41.67% | |
0.1934 | 0.52% | |
0.00000000001802 | -33.38% | |
0.150000 | -40.10% | |
0.03814 | -2.08% | |
0.1112 | 4.61% | |
0.001997 | -0.30% | |
0.01238 | -0.64% | |
0.000001706 | 1.25% | |
0.0000000000000157 | -2.48% | |
0.00000000000291 | -3.64% | |
0.001707 | -15.62% | |
0.0000002642 | 25.27% | |
0.000000000008 | 0.00% | |
0.0000094 | -6.00% | |
0.002560 | -2.33% | |
1.02745 | -0.11% | |
0.279 | 0.72% | |
0.002945 | 2.36% | |
0.00109 | -26.35% | |
0.0000815 | 9.84% | |
0.000259 | -1.52% | |
0.0524 | 0.58% | |
0.1438 | -1.78% | |
0.000049 | 32.43% | |
0.000427 | -2.29% | |
0.0000000053 | -51.82% | |
0.0006772 | 0.46% | |
0.00282 | -0.35% | |
0.05817 | -0.02% | |
0.000000000539 | 20.04% | |
0.00000385 | 34.15% | |
0.0077 | 63.83% | |
0.0388 | -1.02% | |
0.00000000000013 | 0.00% | |
0.00002386 | 0.85% | |
0.000624 | -0.95% | |
0.00000000000042 | -2.33% | |
0.00003022 | 0.27% | |
0.0247 | 7.39% | |
0.0006 | 20.00% | |
0.00000056 | 5.66% | |
0.00000000000651 | -26.27% | |
0.0330 | 0.30% | |
3.0585 | -4.69% | |
0.03001 | 1.80% | |
0.00000304 | 2.70% | |
0.000001680 | 2.44% | |
0.00816 | 0.37% | |
0.003986 | 44.42% | |
0.01152 | 1.32% | |
1.401 | -1.41% | |
0.020989 | 0.74% | |
0.20497 | -1.04% | |
0.0006 | 0.00% | |
0.012521 | 0.00% | |
0.0900 | 2.74% | |
0.001876 | 2.85% | |
0.000196104 | 2.61% | |
0.00005 | 0.00% | |
0.000937 | -0.53% | |
0.000519 | 2.17% | |
0.0000090 | 45.16% | |
0.000180 | -5.76% | |
0.006267 | 12.94% | |
0.0000078 | -4.88% | |
0.3263 | -1.72% | |
0.000308 | 15.79% | |
0.00035 | -18.60% | |
0.01005 | -1.08% | |
0.00088 | 0.00% | |
0.000014 | -12.50% | |
0.00200 | 23.46% | |
0.01831 | -5.62% | |
0.5343 | 4.64% | |
0.000000487 | 14.59% | |
0.004389 | -0.11% | |
0.1100 | 0.00% | |
0.1187 | -3.89% | |
0.00457 | 10.65% | |
0.0000355 | -17.25% | |
0.02726 | -0.47% | |
0.001449 | -14.41% | |
0.0005 | 0.00% | |
0.00000001213 | 1.25% | |
0.021365 | 0.85% | |
0.0000010 | 66.67% | |
0.0002489 | -0.64% | |
0.000956 | -1.75% | |
0.05982 | -0.30% | |
5.448 | -0.93% | |
0.00002 | -33.33% | |
0.00000088 | 7.32% | |
0.01317 | 0.23% | |
0.00080 | 0.00% | |
0.01645 | 3.65% | |
0.0589 | 0.00% | |
0.00330 | -45.00% | |
2.5129 | -49.74% | |
0.0502 | -3.28% | |
0.00013 | 0.00% | |
0.3903 | 5.09% | |
0.00209 | -3.69% | |
0.1474 | 0.27% | |
0.0730 | 1.39% | |
0.0001030 | 0.00% | |
0.7556 | 0.49% | |
5.31 | 0.57% | |
0.2720 | -1.09% | |
0.000838 | 6.48% | |
0.0638 | 0.79% | |
8.26 | 3.64% | |
0.3634 | -6.65% | |
0.0004 | 0.00% | |
0.00290 | -1.69% | |
0.05211 | 2.16% | |
0.0000245 | 0.00% | |
0.667 | -0.30% | |
0.001430 | 1.92% | |
0.0000105 | -89.46% | |
0.00613 | -3.46% | |
0.0097 | -12.61% | |
0.0050 | 6.38% | |
0.1349 | 14.52% | |
0.01087 | -0.91% | |
0.0439 | 4.28% | |
0.0471 | 6.08% | |
0.2994 | 0.00% | |
0.00188 | 2.73% | |
0.0500 | -1.57% | |
0.00000698 | 1.60% | |
0.00641 | 0.47% | |
0.00250 | 25.00% | |
0.00000000000160 | -7.51% | |
0.000427 | 3.89% | |
0.00907 | -5.62% | |
0.000000000022 | 69.23% | |
0.00366 | -5.18% | |
0.0000254 | 5.39% | |
0.0005 | -50.00% | |
0.0353 | -0.28% | |
0.01751 | -0.34% | |
0.004187 | -1.85% | |
0.000000000103 | 4.04% | |
0.01409 | -5.56% | |
0.1909 | -2.30% | |
0.000012 | -14.29% | |
0.1179 | -1.59% | |
0.0000117 | -1.68% | |
0.1722 | 2.87% | |
0.00372 | -3.13% | |
0.01455 | -2.61% | |
0.0000823 | 0.86% | |
0.00000000003521 | 1.03% | |
100.00 | -0.70% | |
0.0001 | 0.00% | |
0.000000000728 | 2.68% | |
2.151 | -0.55% | |
0.3473 | -6.01% | |
0.01800 | 0.45% | |
0.02975 | -0.97% | |
0.0000329 | -33.67% | |
0.001131 | -1.14% | |
0.002554 | 3.82% | |
0.00027 | 3.85% | |
0.00022 | -47.62% | |
0.00000000000028 | 3.70% | |
0.3716 | -0.51% | |
0.0009 | -43.75% | |
0.00000921 | -0.11% | |
0.0600 | -1.32% | |
0.03786 | 0.99% | |
0.000000000004 | 0.00% | |
0.000000107 | -1.83% | |
0.002167 | -5.12% | |
0.0866 | 0.58% | |
0.02874 | -0.07% | |
2.987 | 0.67% | |
0.1917 | 0.16% | |
0.0000023 | 0.00% | |
0.000000000791 | -5.16% | |
0.0587 | 0.00% | |
1.25 | -0.79% | |
0.000000000036 | 0.00% | |
0.000000000790 | 1.80% | |
0.0072 | -63.82% | |
0.00028 | 0.00% | |
0.002461 | 0.00% | |
0.00004 | -20.00% | |
0.000033 | 120.00% | |
0.000029 | 7.41% | |
0.000008 | -11.11% | |
0.00240 | -4.00% | |
0.0000219 | 50.00% | |
0.000050 | -7.41% | |
0.001987 | 30.90% | |
0.000109 | 4.81% | |
0.0000059 | 3.51% | |
0.0000007 | 0.00% | |
0.1003 | 1.93% | |
0.0801 | -0.87% | |
0.000350 | -29.58% | |
0.0005 | -16.67% | |
0.00000000000424 | 0.00% | |
0.00007 | 0.00% | |
0.000033 | -2.94% | |
1.1661 | 1.73% | |
0.1157 | 8.23% | |
0.4817 | -4.52% | |
0.01730 | 4.41% | |
0.000639 | 4.07% | |
0.10682 | -6.44% | |
0.00003978 | -5.94% | |
0.7474 | -11.25% | |
0.1083 | 0.00% | |
0.001356 | 0.67% | |
0.2342 | -0.93% | |
0.03578 | -6.34% | |
58.5600 | 0.00% | |
0.00004384 | 2.57% | |
0.0409 | -2.39% | |
0.0001450 | 0.00% | |
0.02952 | -3.12% | |
0.00490 | 2.08% | |
0.002184 | 2.73% | |
0.0003220 | 0.00% | |
0.0254 | 0.00% | |
0.0009012 | 0.00% | |
0.003297 | -8.26% | |
0.00600 | 0.00% | |
0.0007993 | 0.00% | |
6.268 | -0.32% | |
0.0000689 | -0.14% | |
0.04003 | -0.55% | |
0.00293 | 14.01% | |
0.02342 | 1.30% | |
0.00283 | 2.91% | |
0.0028 | 0.00% | |
0.00125 | 4.17% | |
1899.00 | 0.00% | |
0.92 | 2.22% | |
0.001271 | 2.25% | |
0.00392 | -2.24% | |
0.00220 | 1.38% | |
0.0731 | 2.09% | |
0.446 | 0.45% | |
0.1105 | 1.28% | |
1.000000 | 0.00% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
5.89 | -1.34% | |
0.05847 | 0.69% | |
0.000000100 | 0.00% | |
0.06419 | 11.97% | |
2.166 | 1.07% | |
0.6245 | -0.24% | |
0.0700 | 0.00% | |
0.01908 | 0.90% | |
0.00004399 | 0.00% | |
0.000216 | 0.00% | |
2.179 | 0.00% | |
1.700 | 0.95% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0971 | 0.31% | |
1.1371 | 0.00% | |
0.000087 | 3.57% | |
0.4424 | 0.00% | |
0.1263 | 0.80% | |
0.2165 | -1.90% | |
0.0435 | 0.23% | |
0.000384 | 1.32% | |
0.9746 | 0.00% | |
0.0071 | 0.00% | |
0.599 | 0.00% | |
0.000210 | 0.00% | |
14.62 | 0.55% | |
0.1849 | -1.28% | |
0.000452 | 0.00% | |
0.0272 | 0.00% | |
0.000000002333 | -1.64% | |
0.00000010913 | 0.00% | |
0.00000044 | 2.33% | |
16.98 | -0.18% | |
0.1204 | 0.00% | |
2.600 | -1.10% | |
1.071 | -0.37% | |
0.006000 | 0.00% | |
0.000300 | 0.00% | |
0.0021 | 0.00% | |
0.00035 | 0.00% | |
0.000000036 | 0.00% | |
0.0004 | 0.00% | |
0.00033 | 0.00% | |
0.011926 | 0.00% | |
0.0000151 | 0.00% | |
0.5051 | 0.00% | |
0.000014 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.001200 | 0.00% | |
0.0059 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001013 | 0.00% | |
0.00035000 | 0.00% | |
0.000027 | 8.00% | |
0.00006187 | 0.00% | |
0.000166 | 0.00% | |
0.001405 | 0.00% | |
0.2466 | 0.28% | |
0.000471 | -2.48% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.001505 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00012800 | 0.00% | |
0.000454 | 0.22% | |
0.004025 | 0.00% | |
0.00000000055 | 0.00% | |
0.0109 | 6.86% | |
9.770 | 0.27% | |
0.00007709 | 0.00% | |
0.00000100 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000006 | 0.00% | |
0.00000000001676 | 0.00% | |
0.001000 | 0.00% | |
0.0000000039 | 0.00% | |
0.00001626 | 0.00% | |
0.000000000374 | 0.00% | |
0.00026 | -3.70% | |
0.0000030 | 0.00% | |
0.000000003500 | 0.00% | |
0.0070 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.9500 | 0.00% | |
0.0020 | 0.00% | |
0.0066 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000000000102 | 0.00% | |
0.001290 | 0.00% | |
0.00000011 | 0.00% | |
0.0000006655 | 0.15% | |
0.000758 | 0.00% | |
0.001000 | 0.00% | |
1.6799 | 0.00% | |
0.0927 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.00001 | 0.00% | |
0.000119 | 0.00% | |
0.0010 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.00006767 | 0.00% | |
0.0055 | 0.00% | |
0.00005458 | 0.00% | |
0.001263 | 0.00% | |
0.00000000000805 | 0.25% | |
0.001349 | 0.00% | |
0.00171 | 0.00% | |
0.0001000 | 0.00% | |
0.05056 | 0.00% | |
1.3575 | 0.00% | |
0.00136 | 0.00% | |
0.000086 | 0.00% | |
0.00006 | 0.00% | |
0.001234 | 0.00% | |
0.000449 | 0.00% | |
0.0066 | 0.00% | |
0.0010 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.0013 | 0.00% | |
0.4998 | 0.00% | |
0.0000111 | 0.00% | |
0.007000 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.000792 | 0.00% | |
0.001200 | 0.00% | |
0.000331 | 0.00% | |
0.001050 | 0.00% | |
1.1099 | 0.00% | |
0.000383 | 0.00% | |
0.01170 | 0.00% | |
0.001000 | 0.00% | |
50.0000 | 0.00% | |
0.0005 | 0.00% | |
0.0786 | 0.00% | |
0.001563 | 0.00% | |
1.6349 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.002935 | 0.00% | |
0.0200 | 0.00% | |
0.0093 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
3.7189 | 0.00% | |
0.003015 | 0.00% | |
0.00000013 | 0.00% | |
0.000082 | 0.00% | |
0.0071 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.00010965 | 0.00% | |
0.0131 | 0.00% | |
0.023020 | 0.00% | |
0.0745 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.1001 | 0.00% | |
0.0036 | 0.00% | |
0.001942 | 0.00% | |
0.1769 | 0.00% | |
2.2915 | 0.00% | |
0.0000000194 | 2.11% | |
0.000257 | 0.00% | |
0.000620 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.000119 | 0.00% | |
0.0002041 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.0060 | 0.00% | |
0.04500 | 0.00% | |
0.000259 | 0.00% | |
0.0502 | 0.00% | |
0.003977 | -7.23% | |
1.76670591 | 0.00% | |
0.000399 | 0.00% | |
0.0001403 | 0.00% | |
1.9418 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.6700 | 0.00% | |
0.00010 | 0.00% | |
0.01989 | 0.00% | |
0.0026 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.00294 | 0.00% | |
0.0440 | 0.00% | |
0.3515 | 0.00% | |
0.00125 | 0.00% | |
0.000445 | 0.00% | |
0.0140 | 0.00% | |
0.4900 | 0.00% | |
0.9900 | 0.00% | |
0.5000 | 0.00% | |
0.010100 | 0.00% | |
0.0069 | 0.00% | |
0.88686 | 0.00% | |
0.00084 | 0.00% | |
0.00141 | 0.00% | |
0.0000285 | 0.00% | |
0.00264 | 0.00% | |
1.1760 | 0.00% | |
0.000978 | 0.00% | |
0.00910 | 0.00% | |
0.1721 | 0.00% | |
0.00010 | 0.00% | |
0.01463 | 0.00% | |
0.01320 | -0.23% | |
0.00614 | 0.00% | |
0.04851 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.01200 | 0.00% | |
0.00000000076 | 0.00% | |
0.00010 | 0.00% | |
0.000001000 | 0.00% | |
0.0000008 | 0.00% | |
1.3040 | -2.42% | |
0.01050 | 0.00% | |
0.0000325 | 0.00% | |
1.0000 | 0.00% | |
0.00441 | 0.00% | |
0.34211 | 0.00% | |
0.0000077 | 0.00% | |
0.3000 | 0.00% | |
0.00036 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
3.3999 | 0.00% | |
0.000000005 | 0.00% | |
0.000514 | 0.00% | |
0.00819 | 0.00% | |
0.000313 | 0.00% | |
0.0000031 | 0.00% | |
0.0007240 | 0.00% | |
0.00003 | 0.00% | |
0.00098 | 0.00% | |
0.00200 | 0.00% | |
0.00000007783 | 0.00% | |
0.0032 | 0.00% | |
0.000495 | 0.00% | |
0.00049 | 0.00% | |
0.00014906 | 0.00% | |
0.007210 | 0.00% | |
0.00635 | 0.00% | |
0.0000289 | -2.03% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000506 | 0.00% | |
0.01030 | 0.00% | |
0.017874 | 0.00% | |
0.00269 | 0.00% | |
0.00070 | 0.00% | |
0.004004 | 0.00% | |
0.000309 | 0.00% | |
160.01 | 0.00% | |
0.0000269 | 0.00% | |
0.0000000500 | 0.00% | |
0.0000001300 | 0.00% | |
0.000058 | -45.79% | |
0.7997 | 0.00% | |
0.0001543 | 0.00% | |
0.000000000128 | 0.00% | |
0.000426832 | 0.00% | |
0.00002805 | 0.00% | |
0.00911 | 0.00% | |
0.1600 | 0.00% | |
0.3198 | 0.00% | |
0.1197 | 0.00% | |
0.0030886 | 0.00% | |
20.3888 | 0.00% | |
0.000510 | 0.00% | |
0.00218 | 0.00% | |
0.00000632 | 0.00% | |
0.002700 | 0.00% | |
0.0001245 | 0.00% | |
0.000055 | 0.00% | |
0.3100 | 0.00% | |
0.00639 | 0.00% | |
0.4400 | 0.00% | |
1.4371 | 0.00% | |
0.0002109 | 0.00% | |
0.0000274 | 0.00% | |
0.3668 | 0.00% | |
0.250 | 0.00% | |
0.4124 | -0.39% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.00500 | 0.00% | |
3.79 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.5244 | 1.10% | |
4522.00 | 0.00% | |
1.489 | -0.33% | |
0.0091 | 0.00% | |
0.432 | -0.23% |