# Formulas

## Genesis 

**ETH:EGL\_Genesis\_Ratio:**

$$
\text{ETH:EGL Genesis Ratio}: \frac{\text{Total ETH staked at Genesis}}{\text{750,000,000 EGLs}}
$$

**Bonus Voting EGL**~~**s**~~: 

$$
(y^4-x^4)/(\frac{81}{128}) \* 10^{27})
$$

where, 

$$
\text{last serialized EGL = y} = \text{ETH:EGL Genesis Ratio}\* \text{cumulative ETH staked after you contribute}
$$

$$
\text{first serialized EGL = x} = \text{ETH:EGL Genesis Ratio} \* \text{cumulative ETH staked before you contributed}
$$

**BPT Unlock Schedule:** 

$$
\text{First BPT Release Date} =(\frac{\text{first\_serialized\_EGL}}{750,000,000})^{1/4}\* 294 + 70
$$

$$
\text{Last BPT Release Date} = (\frac{\text{last\_serialized\_EGL}}{750,000,000})^{1/4}\* 294 + 70
$$

{% hint style="info" %}
Launch is the date the voting contract is deployed, not the date the Genesis closes.
{% endhint %}

**Bonus Token Unlock**: With your individual last BPT token

## ‌Voting

**Voting Rewards**: $$Reward\_i = 362844.70 \* (52 - i)$$EGLs

**Desired Gas Limit (**`desiredEgl`): $$\frac{\sum\_i (targetGasLimit\_i \* weight\_i)}{ \sum\_i weight\_i}$$ 

## Miners (Pools)

**Max Miner Reward**: Remaining EGLs available \* 0.0000002 (see [Mining Pool Reward](/protocol-overview/miner-rewards.md) for more details)<br>

## Creator's Fund

**Release Date:**&#x20;

$$
\text{Release Date} =(\frac{\text{serialized\_EGL}}{750,000,000})^{1/4}\* 294 + 70
$$

## Other

EGls in Circulation `(eglsInCirculation)` = $$Matching EGLs  + Claimed BonusVotingEGls + Claimed EGL Voices + Claimed Miner Rewards + Allocated DAO EGLs + Unlocked Creator Rewards$$ (see [Voting Threshold](/protocol-overview/voting/voting-threshold.md))


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