conviction/hatch_sim.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### System timeline\n",
" - initial raise\n",
" - hatch sale\n",
" - reference implementation launch"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Augumented bonding curve Mathematics\n",
"\n",
"### Hatch Sale Equations\n",
"\n",
"- Initial Raise $d_0$ Dai\n",
"- Initial Reserve is $R_0 = (1-\\theta) d_0$\n",
"- Hatch sale Price $p_0$ (dai per token) determines the initial supply: $S_0 = d_0/p_0$\n",
"- Power Function Invariant shape: $V(R, S) = \\frac{S^\\kappa}{R}$\n",
"- Price function (DAI per Token): $P(R) = \\frac{\\kappa R^{(\\kappa-1)/ \\kappa}}{V_0^{1 / \\kappa}}$\n",
"- Supply function (tokens): $S(R) = \\sqrt[\\kappa]{V_0 R}$\n",
"- Reserve function (xDAI): $R(S) = \\frac{S^{\\kappa}}{V_0} $\n",
"- The invariant coef: $V_0 = V(R_0, S_0) = \\frac{S_0^\\kappa}{R_0} = \\left(\\frac{1}{p_0(1-\\theta)}\\right)^\\kappa R_0^{\\kappa-1}$\n",
"- The post hatch price: $p_1=P(R_0) = \\frac{\\kappa R_0^{(\\kappa-1)/ \\kappa}}{V_0^{1 / \\kappa}} = \\kappa R_0^{(\\kappa-1)/ \\kappa} \\cdot(1-\\theta)p_0\\cdot R_0^{-(\\kappa-1)/\\kappa} = \\kappa(1-\\theta) p_0$\n",
"- The Return factor: $\\frac{p_1}{p_0} = {\\kappa}(1-\\theta)$\n",
"\n",
"### Invariant Preserving Deposit-to-Mint\n",
" - Deposit $\\Delta R$ xdai \n",
" - Conservation equation: $V(R+ \\Delta R, S+\\Delta S) = \\frac{(S+\\Delta S)^\\kappa}{R+\\Delta R} =V_0$\n",
" - Derived Mint equation: $\\Delta S = mint\\big(\\Delta R ; (R,S)\\big)= \\sqrt[\\kappa]{V_0(R+\\Delta R)}-S$\n",
" - Realized Price is: $\\bar{P}(\\Delta R) =\\frac{\\Delta R}{\\Delta S} = \\frac{\\Delta R}{\\sqrt[\\kappa]{V_0(R+\\Delta R)}-\\sqrt[\\kappa]{V_0(R)}} \\rightarrow \\big(\\frac{\\partial S(R)}{\\partial R} \\big)^{-1}$ as $\\Delta R \\rightarrow 0$\n",
" - The limiting price is the spot price: $\\lim_{\\Delta R \\rightarrow 0} \\bar{P}(\\Delta R)=\\big(\\frac{\\partial S(R)}{\\partial R}\\big)^{-1}= \\big(\\frac{V_0^{1/\\kappa} \\cdot R^{1/\\kappa-1}}{\\kappa}\\big)^{-1}= \\frac{\\kappa R^{1-1/\\kappa}}{V_0^{1/\\kappa}} = \\frac{\\kappa R^{(\\kappa-1)/\\kappa}}{V_0^{1/\\kappa}} =P(R)$\n",
" \n",
"### Invariant Preserving Burn-to-Withdraw\n",
" - Burn $\\Delta S$ tokens\n",
" - Conservation equation: $V(R- \\Delta R, S-\\Delta S) = \\frac{(S-\\Delta S)^\\kappa}{R-\\Delta R} =V_0$\n",
" - Derived Withdraw equation: $\\Delta R = withdraw\\big(\\Delta S ; (R,S)\\big)= R-\\frac{(S-\\Delta S)^\\kappa}{V_0}$\n",
" - Realized Price is: $\\bar{P}(\\Delta S) =\\frac{\\Delta R}{\\Delta S} = \\frac{\\frac{S^{\\kappa}}{V_0}-\\frac{(S-\\Delta S)^\\kappa}{V_0}}{\\Delta S} \\rightarrow \\frac{\\partial R(S)}{\\partial S} $ as $\\Delta S \\rightarrow 0$\n",
" - The limiting price is the spot price: $\\lim_{\\Delta S \\rightarrow 0} \\bar{P}(\\Delta S)=\\frac{\\partial R(S)}{\\partial S}=\\frac{\\kappa S^{\\kappa-1}}{V_0} = \\frac{\\kappa \\cdot (\\sqrt[\\kappa]{V_0 R})^{\\kappa-1}}{V_0}= \\frac{\\kappa R^{(\\kappa-1)/\\kappa}}{V_0^{1/\\kappa}}=P(R)$\n",
" - Given friction coef $\\phi$ \n",
" - sent to burning agent address: $\\Delta R_{agent} = (1-\\phi) \\Delta R$\n",
" - sent to the funding pool address: $\\Delta R_{pool} = \\phi \\Delta R$\n",
" - due to the friction the true realized price for the agent is $(1-\\phi)\\cdot \\bar{P}(\\Delta S)$\n",
" - due to the friction the true return factor post withdraw is: ${\\kappa}(1-\\theta)(1-\\phi)$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"#integer_units = 10**12 #account for decimal places to a token\n",
"#scale_units = 10**6 #millions of tokens, million of DAI\n",
"#mu = integer_units*scale_units\n",
"\n",
"#value function for a given state (R,S)\n",
"def invariant(R,S,kappa):\n",
" return (S**kappa)/R\n",
"\n",
"#given a value function (parameterized by kappa)\n",
"#and an invariant coeficient V0\n",
"#return Supply S as a function of reserve R\n",
"def supply(R, kappa, V0):\n",
" return (V0*R)**(1/kappa)\n",
"\n",
"#given a value function (parameterized by kappa)\n",
"#and an invariant coeficient V0\n",
"#return a spot price P as a function of reserve R\n",
"def spot_price(R, kappa, V0):\n",
" return kappa*R**((kappa-1)/kappa)/V0**(1/kappa)\n",
"\n",
"#for a given state (R,S)\n",
"#given a value function (parameterized by kappa)\n",
"#and an invariant coeficient V0\n",
"#deposit deltaR to Mint deltaS\n",
"#with realized price deltaR/deltaS\n",
"def mint(deltaR, R,S, kappa, V0):\n",
" deltaS = (V0*(R+deltaR))**(1/kappa)-S\n",
" realized_price = deltaR/deltaS\n",
" return deltaS, realized_price\n",
"\n",
"#for a given state (R,S)\n",
"#given a value function (parameterized by kappa)\n",
"#and an invariant coeficient V0\n",
"#burn deltaS to Withdraw deltaR\n",
"#with realized price deltaR/deltaS\n",
"def withdraw(deltaS, R,S, kappa, V0):\n",
" deltaR = R-((S-deltaS)**kappa)/V0\n",
" realized_price = deltaR/deltaS\n",
" return deltaR, realized_price"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
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"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1af19940>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X= np.arange(0,12, .01)\n",
"vals = [1-1/2**x for x in X]\n",
"\n",
"vals3 = [1/2**x for x in X]\n",
"plt.plot(X,vals, X, vals3)\n",
"plt.xlabel('months')\n",
"plt.ylabel('percent vested')\n",
"plt.title('Vesting Schdule with 1 month vesting \"Half-Life\"')\n",
"plt.legend([\"Share of hatch tokens Vested\", \"Share of Hatch tokens Locked\"])\n",
"plt.vlines(3,0,1, linestyle ='-.')\n",
"plt.text(3.2,.85, str(int(1000*7/8)/10)+ \"% of tokens vested after 3 months\" )\n",
"plt.scatter(3,7/8)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2458.387573380661"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"10*10**6*vals3[-1]"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a257c3780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d0 = 1 #million DAI\n",
"p0 = .01 #DAI per tokens\n",
"theta = .25\n",
"\n",
"R0 = d0*(1-theta) #million DAI\n",
"S0 = d0/p0\n",
"\n",
"kappa = 2\n",
"V0 = invariant(R0,S0,kappa)\n",
"\n",
"reserve = np.arange(0,10,.01)\n",
"supp = np.array([supply(r,kappa, V0) for r in reserve])\n",
"price = np.array([spot_price(r,kappa, V0) for r in reserve])\n",
"\n",
"fig, ax1 = plt.subplots(figsize=(10,2))\n",
"\n",
"color = 'tab:red'\n",
"ax1.set_xlabel('Reserve (Millions)')\n",
"ax1.set_ylabel('Supply (Millions)', color=color)\n",
"ax1.plot(reserve, supp,'-', color=color)\n",
"ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
"\n",
"color = 'tab:blue'\n",
"ax2.set_ylabel('Price in Reserve per Token', color=color) # we already handled the x-label with ax1\n",
"ax2.plot(reserve, price,'-.', color=color)\n",
"ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax1.vlines(R0,0,S0, alpha=.5)\n",
"ax1.scatter(R0,S0, color='red', marker='D')\n",
"# ax1.text(R0+.02*reserve[-1], .9*supp[-1], \"Initial Value R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n",
"# ax1.text(R0+.02*reserve[-1], .70*supp[-1], \"Initial Value S0=\"+str(S0)+\" million Tokens\")\n",
"ax1.text(-.4, .9*supp[-1], \"Initial Values: R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n",
"ax1.text(-.4, .70*supp[-1], \"S0=\"+str(S0)+\" million Tokens\")\n",
"\n",
"#ax1.hlines(S0,0,R0)\n",
"\n",
"# ax2.text(R0+.02*reserve[-1], price[25], \"Initial Value P0=\"+str(spot_price(R0,kappa,V0)))\n",
"# ax2.text(R0+.02*reserve[-1], price[25]/10, \"where P_hatch=\"+str(p0))\n",
"ax2.text(R0+.04*reserve[-1], price[25], \"P0=\"+str(spot_price(R0,kappa,V0))+\" where P_hatch=\"+str(p0))\n",
"ax2.scatter(R0,spot_price(R0,kappa,V0), color=color)\n",
"\n",
"plt.title('Augmented Bonding Curve with Invariant V = S^'+str(kappa)+'/R')\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.015"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"spot_price(R0,kappa,V0)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1d0dc390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax1 = plt.subplots()\n",
"\n",
"cp = 100\n",
"color = 'tab:red'\n",
"ax1.set_xlabel('Supply (Millions of Tokens)')\n",
"ax1.set_ylabel('Reserve (Millions of Reserve)', color=color)\n",
"ax1.plot(supp[cp:], reserve[cp:],'--', color=color)\n",
"ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
"\n",
"color = 'tab:blue'\n",
"ax2.set_ylabel('Price in xDAI per Token', color=color) # we already handled the x-label with ax1\n",
"ax2.plot(supp[cp:], price[cp:],'-.', color=color)\n",
"ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax1.vlines(S0,0,reserve[-1], alpha=.5)\n",
"ax1.text(S0*1.02, reserve[-1], \"Initial Value S0=\"+str(int(100*S0)/100)+\" mil tokens\")\n",
"ax1.text(S0*1.02, .95*reserve[-1], \"Initial Value R0=\"+str(R0)+\" mil Reserve\")\n",
"#ax1.hlines(S0,0,R0)\n",
"\n",
"ax2.text(S0*1.02, price[3], \"Initial Value P0=\"+str(int(100*spot_price(R0,kappa,V0))/100))\n",
"\n",
"\n",
"plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1d438f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax1 = plt.subplots()\n",
"\n",
"cp = 100\n",
"color = 'tab:red'\n",
"ax1.set_xlabel('Supply (Millions of Tokens)')\n",
"ax1.set_ylabel('Reserve (Millions of Reserve)', color=color)\n",
"ax1.plot(supp[cp:], reserve[cp:],'--', color=color)\n",
"ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
"\n",
"color = 'tab:blue'\n",
"ax2.set_ylabel('Price in Reserve per Token', color=color) # we already handled the x-label with ax1\n",
"ax2.plot(supp[cp:], price[cp:],'-.', color=color)\n",
"ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax1.vlines(S0,0,reserve[-1], alpha=.5)\n",
"ax1.text(S0*1.02, reserve[-1], \"Initial Value S=\"+str(int(100*S0)/100)+\" mil tokens\")\n",
"ax1.text(S0*1.02, .95*reserve[-1], \"Initial Value R=\"+str(R0)+\" mil Reserve\")\n",
"#ax1.hlines(S0,0,R0)\n",
"\n",
"ax2.text(S0*1.02, price[3], \"Initial Value P0=\"+str(int(100*spot_price(R0,kappa,V0))/100))\n",
"\n",
"\n",
"plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"#given V0 and kappa\n",
"#sweep the reserve\n",
"reserve = None\n",
"reserve = np.arange(.01,100,.01)\n",
"price = np.array([spot_price(r,kappa, V0) for r in reserve])\n",
"\n",
"#realized price for withdrawing burning .1% of tokens\n",
"withdraw_price=[withdraw(supply(r,kappa,V0)/1000, r,supply(r,kappa,V0), kappa, V0)[1] for r in reserve]\n",
"\n",
"#realized price for depositing .1% more Xdai into the reserve\n",
"mint_price=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0)[1] for r in reserve]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"#from IPython.display import Image\n",
"#Image(filename='slippage.jpeg')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"pdf = pd.DataFrame({'reserve':reserve, 'spot_price':price, '.1% mint_price':mint_price,'.1% withdraw_price':withdraw_price })"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1cfbf978>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e1a5a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pdf.plot(x='reserve')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"pdf['mint_slippage'] = (pdf['.1% mint_price']-pdf['spot_price'])/pdf['spot_price']\n",
"pdf['withdraw_slippage'] = (pdf['spot_price']-pdf['.1% withdraw_price'])/pdf['spot_price']"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
" series.name = label\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1dae1f60>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1cffa5c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pdf.plot(x='reserve', y = ['mint_slippage', 'withdraw_slippage'])#, logy=True)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"#given V0 and kappa\n",
"R = 20\n",
"S = supply(R,kappa,V0)\n",
"p = spot_price(R,kappa,V0)\n",
"#sweep the transaction fraction\n",
"TXF = np.logspace(-6, 0, num=1000)\n",
"\n",
"#realized price for withdrawing burning .1% of tokens\n",
"withdraw_price2=[withdraw(S*txf, R,S, kappa, V0)[1] for txf in TXF]\n",
"\n",
"#realized price for depositing .1% more Xdai into the reserve\n",
"mint_price2=[mint(R*txf, R,S, kappa, V0)[1] for txf in TXF]"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"516.3977794943223\n"
]
}
],
"source": [
"print(S)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"pdf2 = pd.DataFrame({'tx_fraction':TXF, 'spot_price':p*np.ones(len(TXF)), 'mint_price':mint_price2,'withdraw_price':withdraw_price2 })"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
" series.name = label\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1a23641048>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a1d72acc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pdf2.plot(x='tx_fraction',y=['mint_price','withdraw_price','spot_price'], logx=True)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"pdf2['bond_to_mint_slippage'] = (pdf2['mint_price']-pdf2['spot_price'])/pdf2['spot_price']\n",
"pdf2['burn_to_withdraw_slippage'] = (pdf2['spot_price']-pdf2['withdraw_price'])/pdf2['spot_price']"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
" series.name = label\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5,0,'Transaction size as percent of the asset Burned or Bonded\\nnormalizd units: bonded/Reserve, burned/Supply')"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a24bbf828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10,2))\n",
"pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage'], logx=True, logy=True, ax=ax)\n",
"plt.title(\"Friction for Bond and Withdraw accounting Without Exit Tax\")\n",
"plt.ylabel(\"\"\"Percentage Change:\n",
"Realized Price\n",
"Relative to Spot Price\"\"\")\n",
"plt.yticks([10**k for k in range(-6,1)])\n",
"plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n",
"normalizd units: bonded/Reserve, burned/Supply\"\"\")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"tax = .02\n",
"pdf2['burn_to_withdraw_slippage_with_tax'] = pdf2['burn_to_withdraw_slippage']+tax"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
" series.name = label\n"
]
},
{
"data": {
"text/plain": [
"Text(0.5,0,'Transaction size as percent of the asset Burned or Bonded\\nnormalizd units: bonded/Reserve, burned/Supply')"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a24d75a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10,2))\n",
"pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage_with_tax'], logx=True, logy=True, ax=ax)\n",
"plt.title(\"Friction for Bond and Withdraw accounting for Exit Tax\")\n",
"plt.ylabel(\"\"\"Percentage Change:\n",
"Realized Price\n",
"Relative to Spot Price\"\"\")\n",
"plt.yticks([10**k for k in range(-6,1)])\n",
"plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n",
"normalizd units: bonded/Reserve, burned/Supply\"\"\")"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Q4vRSSp0V89cbMpK/FajIldiGo5fJTLf21bT/GEqp25VSK5VSKwNH2M4kixcvZvjw4VxzzTU4HA5uuOGGytHM4cOHs3LlSlwuF4WFhfTp04cbbrgBMANTgLy8PC6++GL69etHz549mT9/fq3tXXPNNXz22WcUF5vpUX0+H5mZmQwdOjSouhYvXsxvf/vbyu077riDmTNnArBq1SouvPBC+vfvz6hRo8jKyqq1L8nJyURHR3Pw4MGgHqv58+czYcIEIiIi6NChA507d+ann36q8fzc3Fy++eYbrrzyyqDqrxATE8P9999P//79GTlyJD/99BPDhw+nY8eOLFhgpiSt+jhUZ9q0acyYMQOAL7/8kmHDhlFefuyiXtdddx2XXnopH3xwZHGt2bNn89xzz5Genk5GRjCLrAkhhBAiGA0SCOsO7S+Yq0BVLCpQ3We7Ri37j91pGK8bhjHAMIwBdfl4/ddmzZo1vPjii2zatIm0tDSWLVt21HG3201UVBRr167l/fePXnArMjKSefPmsXr1ar799lvuueceapv60qxZMwYOHMgXX3wBQEpKCtdddx1KqTrXFai0tJQ//elPzJ07l1WrVnHrrbfyl7/8pdYyq1evJjk5mYSEBACeeeYZ+vTpc8zXtGnTAMjIyKBt2yMr3yYlJdUaJM6bN4+LL76Yxo0bV+778ccf6d27N5dddhkbN26stlx+fj7Dhw9n1apVxMbG8tBDD/HVV18xb948HnmkxgXHjuF2u5kzZw7ffvst06ZN45133jlq+kOgfv364fWaC0nt2rWL3bt3M3DgQMaPH8+cOXOCblMIIYQQtTvtEaPu0CZh3kR3sebVKyKrdKBtwGlJmCs0Ucv+s9LAgQNJSkoCoE+fPvh8PoYOHRpUWcMwePDBB1m6dCkhISFkZGSwZ88eWrWqebXeiRMnkpKSwtixY0lJSeHtt9+ud10VNm/ezIYNG7jkkksAKCsro3Xr1tWe+8ILL/DGG2+QlpZWGZAD3Hvvvdx77721XmtVtc2VnT17NlOnTq3c7tevHzt27CAmJoaFCxdy5ZVXsnXr1mPKhYeHM3r0aAB69uxJREQENpuNnj174vP5amyvqujoaN544w2GDRvGCy+8QKdOnYK6tpSUFMaPHw/AhAkTmDJlCnfffXfQ7QohhBCiZqc1ELYyQNwPXKh59YKAQwuAD3SH9jzmzXLJwE+YI8LJukPrAGQAE6jbWvNnnIiIiMqfQ0NDqcs0j/fff599+/axatUqbDYbdrudoqKiWstceeWV3H333axevZrCwkL69esXdF1hYWFHfbxfcdwwDLp3786PP/7I8dx1111Mnz6dTz75hJtvvplt27YRGRnJM888c8yIN8CwYcN46aWXSEpKYteuI7Nm0tPTSUxMrLaN/fv389NPPzFv3rzKfYEjw5dffjl//OMfyc7OPma+rc1mqwywK260q/i5rlNw1q9fT7NmzcjMrP293Jo1axgwYABgBvB79uypfCwyMzPZunUrycnJdWpbCCGEEMc6ZVMjdIc2G/gR6Ko7tHTdoU0BXsZc4/4r3aGt1R3avwE0r74Rcz34TZjrtf+f5tXLNK/uB+4AvgR04EPr3HOazWajtLT0mP05OTkkJCRgs9n49ttv2bFjx3HriomJYfjw4dx6661MnDixTnW1b9+eTZs2UVxcTE5ODl9//TUAXbt2Zd++fZWBcGlpaY1TDyqMGzeOAQMGMGvWLMAcEV67du0xXy+99BIAY8aMISUlheLiYrZv387WrVsZOHBgtXV/9NFH/Pa3vz0qs8bu3bsrR15/+uknysvLadas2XEfr/rasWMHzz33HGvWrOHzzz9nxYoV1Z738ccfs2jRIiZOnMjmzZvJz88nIyMDn8+Hz+fjgQceICUl5ZT1UwghxK9faXFJ5c8fzVrIYzPeZe67n9dSQtTkVGaNmFjN7rdqOf9vwN+q2b8QOGPWWa+4WWzy5MlBlwkmw8XmzZtJS0tjwIAB9OzZk169etGvXz/ef/99CgvNGzdvuOEGrrjiCgYMGECfPn1wOBy1tjF8+HAeeOABJk6cyLhx40hJSeHFF19ky5YtzJgx47h1tW3blvHjx9OrVy+Sk5Pp27cvYE4nmDt3LtOmTSMnJwe/38+f//xnunfvflT72dnZ/Oc//+G9996juLgYTdN4/vnnue2222qcP1vhgw8+wOfzERUVRXJyMq+88gqhoaEUFxdjt9uJjIwkISGBOXPmkJKSgsvl4u9//ztvvfUWoaGhjBw5ksWLFxMWFkZUVBQpKSkopdi+fTsTJkzgwIED9OvXL+h50dWZOnUqd999N5qm4XA4eOONN0hMTOStt95i8uTJREZGsmvXLrKzs3G5XISGhhIZGcncuXNp0aIFr7zyCldddVVlfX6/nxdeeIGkpCQefvjhevdLCCHEr1tRfiEZBWWkHyxk2/K1ZPkymXzoF0ozMngqqicb4tvz3Ys3AjBn3W7WhDXn2tQ9lam4RPDOypXlGjVqZDRU+rT6BMLnavq0UaNG8cc//pGxY8cC5tSBnj17BlV2+fLltG/fnuTk5KP68uqrr/LLL7/w73//m5SUFObNm8ecOXOCTrc2fvx4xo0bx4QJE/j9739P7969+cMfTnx13dpSnQWbcs3v99O8eXMOHTp0wv0RQgjRcApy84lsFEVISAjf/Pc7lqzeTkaen8zSEHaHRHEgPOao80PLy/j0l9do3DqB71r3ZHd8a6bfZ443Htx7gNgmjQmznd7bvpRSBYZhNDqtjZ4CQU+N0B1axPHPEifiXEuflpWVVXljIBB0EAxmwF7dDXjz589n0qRJldf39ddfYxhGUOnWDMPgm2++4ZprzPfUkyZN4tNPPz2mjccee4xJkyZx6aWXYrfb+eSTT7jvvvvo2bMno0ePrpy2UvGc1cd7771Hz5496dGjBw8++OAxx/ft28egQYMqbzB0u90MHDiQXr16VaZpS01NpUePHkyZMoXu3btz2WWXVc7jfuGFF+jWrRu9e/fmxhtvrFcfhRBCVC//cD5bMw+xePNe3vn4Bx55/F3W3v0A26+7juev+RPd/raY7KxsAJat8/F+fhybSiOIUuWcH5HP7+MO8fzVPfjo90NYdudgNv/tcnp+4aH9O+9w45N3VwbBAE0Smp72IPhsUuMjpzs0BVwL3AAMBsp1hxaOedOaB3ijYqELcfKsWbOGjRs3kpiYyPnnn8+yZcuOyhrhdrt5+eWXWbt27TFlK1KeNW7cmOzsbAYPHsyYMWNqzKYQmD6tImtE1fRpwdYVqCJ92vz582nRogVz5szhL3/5S2VGigp33XUXI0aM4De/+Q2XXnopt9xyC/Hx8WzevJnrrruu2roXL15MfHx8jW0HplULCwsjLi6O/fv3k5GRweDBgyvPqy7d2v79+4mPj69cva22lGzbtm3j22+/ZdOmTQwZMoSPP/6Yp59+mquuugqPx1PnfMWB0tPTeeihh1i5ciVxcXGMHDmSzz77rDJ7RVZWFmPGjOGpp55ixIgRLFy4kJ07d7JixQoMw+Dyyy/nhx9+ICEhgc2bNzN79mx69uzJuHHj+PTTT5kwYQJPP/00O3bsIDw8XEaYhRCijvIP5xESFkZUdCQbf95IysKV1ohuKLtDojkUfvRAaVh5HH18u+kfF03fxNb8PuYQoSHm/9N77hzHA5EREsw2kNoe9W+BJcDjwDrNq5cB6A4tAbgIeF53aB9pXv3YW/tFvZ1L6dNuueUWRo0axRdffMH8+fN57bXXWLduHV27dq020A/2MahKKRVUurW6pGS77LLLKtOolZWVHZVirS5p1aqzYsUKRowYUTmN4vrrr2fp0qWMHj2akpISRo4cyWuvvVb5uli0aBGff/555RztvLw8tmzZQkJCAp07d64cae/fv39l37p3786NN97I2LFjTyhoF0KIs1FxQRHpBwvIyC/Dtz2LrcvXMDDHR4/0TWw65Of/+t3KS33CGTPhEnbt3EtKXjwJpbm0Dinhwog82sSV0mlQH+wdW5PYKIyEuGhCbeY0wPaYQVSF6NgzfnbBGa22QHiUteTxUTSvvheYA8yxRojFSXSupU9LTEzk1ltv5dZbb6VHjx5s2LCBmJiYeo8IV6RVS0pKwu/3k5OTQ9OmTYNKt1Yx/9bv9xMWFlZrSrbANGpVU6yd6MqGtc3bt9ls9O3bl0WLFlUGwoZh8NBDDzFlypSjzk1NTa3x9fTll1+yZMkS5s+fzxNPPMGGDRtqXZ5aCCHOJmX+MooLi4iObcTBvQf415sLST9cQkaxIpNIssNjMNSR2aNh5fHE7s2nd0wMyV3a8ceYHDp3MQcfRo65AO9YRWiY/A09E9UYCFcEwbpDswOZmlcv0R3aUKAX8J7m1Q9rXr2kpvLi1KlIn2az2Y7a35Dp04qKivj6668ZOnToUenThgwZQmlpKVu2bDkma8QXX3zBxRdfjM1mY/fu3ezfv582bdrQqlWreo8IjxkzhlmzZjFkyBDmzp3LiBEjUEoxZswYrr/+eu6+++7KXLxV060ppbjooouYO3cuEyZMYNasWZU38p1OgwcP5t5772X//v3ExcWRkpLC9OnTK/s4c+ZMrr76ap599lmmT5/OqFGjeOKJJ5gwYQKNGjUiPT39qFRxVZWVlZGens6IESMYOnQo77//PgUFBcTGxp6uSxRCiFPKMAxyDhewK9fPzv15bPlqKU1yshmR9QvF6emM7T6VaxrnM+PRm1GhIbyRE0ezknxaU8iA8EKSGpfRsUcnOvbsQlJ8JC1jIwizHfl/cF9AWzKl4cwWzLP3KXCe7tA6Ae9izg/+AHN1ONEAbr/99qPSp1WoLX1abQLTp9WlrhNNn7Zo0SLuvPPOyqDtmWeeCWrqBcB9993HBx98QEFBAUlJSUydOpXHHnuMKVOmcNNNN9G5c2eaNm1aeU3du3dn/PjxdOvWjbCwsMp0a2AuqPHmm2+SmJjIU089xYQJE3jooYfo27fvMaOsp0NSUhIzZsxg+PDhGIbBFVdcgdPprBzNDQsL48MPP8TpdBIbG8vvfvc7vF5v5Rzo2NhYPvjggxrr9/v9XH/99eTm5lJeXs79998vQbAQ4ozjL/VXBqHv/GseW3cfJj3fT6bfRlZoI/JtgQMCjTl/XyYXHjpIVNeuTI7LoU+vjgDEN4tn06OXEBVd8wCCOHsdN32a7tBWa169n+7Q7gWKNa/+ku7Q1mheve/p6WLdnWnp04QQQghxtFJ/GbsPF7PrYAFbv1/J4YzdjDu4idL0dB6MOY+CmHg+feEWAIb/+T9k2mJpVZpLYmgpSVGK9m0TSD6/P22bRtEmAuKbxTXwFZ1dzpb0acGMCPt1h3YtcBNQcVeNrZbzhRBCCCGC9u1n3/Pzxp2kHyoiowgyiWBveCxl6si820alMYxes4rwpCQubB5CWasjuXbnPegkrnn8cRdjEqKqYALhW4E/Ak9rXj1Nd2gdgNmntltCCCGEONP5y8rJyili2/qtpG7YxqWFPkJ27WR2bizvx/dk5VPjCLOF8emyrcw3EogvCaO1UUB3WzGjYg0clw6jbdNoEsP8tGnVhPBIM8/776q00ySh6em/OHFWOG4grHn1DZiBcMX2dqpZClkIIYQQ56aMtHR+Xr4RX+ZBdh4sJL3QIKM8gj3RTfCXV0zBjCBx6Rd0bRyKvWN/RkbnU5RfSEx8LA/9yckTURHENpHpC6Ju7C5Pc8xBWzsBca3P7bw9mPLHDYR1hzYYeCSgAQUYmlfvUvfuCiGEEOJMYhgGe/YcJPWXLSQc2k2TPems33WA50ra8cS1feh7fh/+99UqHt0eBsQSUxpGYnk+XW1FXNEvAXu7BNrY/LSNCiHprwsJs4XRCXPFrgotEhMa6OrEWWA+sBz4Hiira+Fgpka8g5kpZFV9GhBCCCHEr1tpcQnbNqXhS8tke8Z+dmYXsCu/jD1NE0kvgsJS89//HWsX4NyxHDpohHdtS0mxuaT8aOdgum/LoGPX9jRt1awhL0Wcexr53M576ls4mED4sObV/1vfBoQQQgjR8A7uPUDujl3EZ2eSt2MXf98RxogebbjqhlFs25TG6DnbrDOjiSgLI7Esl/ap1X+cAAAgAElEQVQR5QzrbScpOoRWBzLpedMDJCa3RwsPZ0RA3S2TWtIyqWVDXJYQn9tdnkt9buei+hQOJhD+Rndofwc+ASpXmtO8+i+1FdId2tuYuYb3al69h7WvKeaqdHbAB4zXvPpB3aEp4B/A5UABMFnz6qutMpOAh6xqn9C8+qygr04IIYQ4h+zP2keq7iPNt4ftuw+REdmEzMh4dmTnc6CglIt3rmT66hQMYNWov5C85xAAHbra+WunzXRo35IOnZNobU+sJgNDcLnphahgd3lGY8Z3ocCbPrfTXeX4MOBFzMXaJvjczrkBx8qA9dbmTp/bOaaGZn4P3G93eQqAEqwpvD63M6g7KIMJhIdW+Q5gAMOOU24m8DLmIhwVXMDXmld36w7NZW3fD1wGJFtfg4B/AYOswPlRYIDV5irdoS3QvPrBIPothBBCnFUMw6Ds4EFKduxg0dpd+ENtXHPzZQCc/+f3yYisWIJeoYw4Eg4X06lTKKN6tKblzs306jeYDo9OJDypDT80OpICNiI6kptuO/0raYqzl93lCQVeAS4B0oGf7S7PAp/buSngtJ3AZGB6NVUU+tzOPkE01fxE+hlM1ogL6lOx5tWXWsszBxoLDLd+ngUsxgyExwLval7dAJbrDi1ed2itrXO/0rz6AQDdoX0FjEbStwkhhDhLlZeXs2dnFqmbd+Lbl8fuFm3x7S8gdd0WynJz+ec3zwPw7pDbKIhrxjU3m+WuSgzBFppHhzZN6dy5DR0cdqJiogNq7nn6L0acywYCqT63Mw3A7vKkYMZ7lYGwz+30WcfK69uIz+0ss7s8E4COPrfzSbvLkwS0xLy37biCyRrRAngCaKN59d/qDq0bMFDz6jPr0d+WmlfPAtC8epbu0CpuE20D7Ao4L93aV9P+YyilbgduB3OJXyGEEOLXyigvZ+/OTLZtzeA3lwwC4NmnZ/N5ZikZYTEUhUVUnhsakkbbJlEkRofRzhZKywcfwNauHa+0aEOTDm0rz5t+38TTfh3inBamlFoZsP26YRivB2xXF8MNqkP9kXaXZyXgB9w+t/PT6k6yuzwvYy70Ngx4EnOK7b+B84JpJJipETOB9zFHbgG2Ys7znRlMA0FS1ewzatl/7E7zwX8dzCWWT17XhBBCiLor85eRkZZOuorCd6CILas2kpaWyV3bviRq+1bea38B7zsuYdOQgsqR24QQPwOiD9O+WSM6JjWnc5ck2nfrhC302BXTYk/3BQlxNL9hGANqOR50DFeDdj63M9Pu8nQEvrG7POt9bue2as77jc/t7Gd3edYA+NzOA3aXJ+gR0WAC4QTNq3+gO7R7ATSvXqo7tPqmUdujO7TW1mhwa2CvtT8daBtwXhKQae0fXmX/4nq2LYQQQpxU5eXmJ7ohISGs/WEdn/5vHb7Dfnb6w8iwxVIceuT/sU0ZtPaHU5DYnsRB/bmmlZ1h8bGVN6XJiK44y9QU2wXF53ZmWt/T7C7PYqAvUF0gXGp3eUKwgmy7y9MMCHqqRTCBcL5105oBoDu084DcYBuoYgEwCXBb3+cH7L9Dd2gpmMPmOVaw/CXwpO7QmljnXQo8UM+2hRBCiHrJK/aTmpaFd/kvdMpJJzFjG2uz8ri/5Qhevbg1wy4/n9TUTP6TF09r/2HahZYwOPow9hYxaEP709HeklaNIwkNOTJIJsnGxFnuZyDZ7vJ0ADKACcD1wRS0uzxNgAKf21lsrRx3PvB0Dae/AnwMtLC7PI8D44EZwXYymEB4OvBfoKPu0JZgzvm45niFdIc2G3M0t7nu0NIxsz+4gQ91hzYF807BioVlFmKmTkvFnNtxC4Dm1Q/oDu2vmA8mwIyKG+eEEEKIk6m0uIQtv2wlNTWDtIz9bN9fyI4iRUZsAtklR86bumEN1xVsoXVHB6Oicolv1hWAK665iLHXhWCLkPtUhPC5nX67y3MH8CVm+rS3fW7nRrvLMwNY6XM7F9hdnvOAeUAT4Aq7y/O4z+3sDmjAa9ZNdCGYc4Q31dDOu3aXZxUwEnM6xrU+t3NDsP1UhnH86Rq6Qwu3OqWw7vbTvHpJrYUaUKNGjYz8/PwGaXvmzJkATJ48uUHaF0IIUTN/qZ+cnRlEZO6iaLuPp7b6GZTckmtuvoydW3cy7K31lefGl+STVJ5P5w6t6NI7GXvjcJJKcujcvSPRsY1qaUWIs59SqsAwjAb/RbC7PJN8buesKvue8LmdD9VUJlAwWSPe0Lz6bcA6azsac0rDJfXorxBCCHFKlZeXs3fXHrZsTGPrjj2kE01Go+Zsz87Ht/sQA7M28dDPZor7Hy9x0SR9PwBtOrThyeR1dO7UmuRuHWmSEFQ+fiFEw7re7vIU+9zOFAC7y/MS0DjYwsFMjdinO7R/al79T7pDiwc+4+RmjBBCCCHqzCgpIXVDKtkH8hgyciAAN97zNmuII98WaZ0Vgc0owd4ynw7NGzG4ZDd9k7vSftq7hNvtfNe8OUqZ83ZDw0K5fsoVDXQ1Qoh6ugr4r7US3WWYc4snB1s4mAU1HtQd2nO6Q3sFc4W35zSv/mF9eyuEEEIEq7y8nH17DrCjKIRt+/LYtPRn9mZmc+/GTyhNz2BG/xvJaNqGpVYg3D42lITSw3RqXkbn9i3o7GhP++R2hNkq/t3Vlu1JCHGmsLs8gaO+kzDvZ1sGPGh3eRr73M7DwdRTYyCsO7TANZ2XAo8DK4Ai3aGN0bz6grp3WwghhKjZim9+5ruVqaQdKMRXFMLO0BjybFGVx8MJJ6k8ilCtO3FOJ39u0QFbUlLl8b89Nqkhui2EOP02cmTNiYrvY60vA2gXTCW1jQhfW2V7PRBt7TcwU54JIYQQQcvec4DN67bQ/mA6tp3b+WpnIf8O7chnf3ES36IJXyzz8k5+U5qWKNqpQi6JzKVj8zJ6jhpGp1ZxJMZHWSnIzHWFWzTs5QghGojP7Wx7/LOOr8ZAWPPqN52MBoQQQpxb/KV+fN7t6Bt9pKZnk7a/kIyWHfDl+jmQbyYcenLZu/Q75CO62xA6t00i93Ae8S2acMfU0dwZFkZ8iybHaUUIIcDu8oQBt2MusQzmwmtv+txOfzDlg8kakQj8Axhq7VoK3KV59aBXBxFCCHH2MUpKOJS6na9XptG7TyeSe3Xh28++5/Yl2ZSG2qyzGtOkJIROpaWM6t4ae3gZbQv3c96Uf9C8YzscoaGMC6izWWsZ4xVC1MkrQCPgbWv7RqAfZnB8XMFkjXgHmGtVDHCTtW9UnbophBDijJR3KJfU3TmkFcAW3142/rCG/lleRq39nEOhUUy//DGm719Lcq8udNbac+3P2+jSOo4unVrj6NmZpq2aNfQlCCHOXoN9bmfvgO1FdpdnXbCFgwmEW2pe/Y2A7Td1h3ZH0N0TQghxxijzlzHzjfmkZuWSllfGdiOKvRFHbs4OC1Ek+sPpm9CKZrdNpXXHzsxrmkiXXskAtO3UlicflxvWhBCnTbnd5bH73E4fgN3lsQPlwRYOJhA+oDu0CcAca3s8IMscCyHEGcgwDLJ8mezesh37vh2UpG3j4ezmxDWO5tknJhMaFspLW/0UhsbRrvwwvcML6RRXjqO7nR6De9G+WSNsoSFH1dm3ga5FCCGA+4CldpdnC2bmiM7AlGALBxMI3wq8ijkHwwCW16UBIYQQp195eTmZ2zPZ+Esqm7fvYVtRCLviE9m6N4/cIj+t8rN55ys3ITExNDnvWuKjj4z6LrzjN7Rs2yog964QQvy62F2ewT63c7nP7fzK7vJ0BTTMQHiTz+0sDLae2vII36F59Zc1r+4DLj/hHgshhDglsjP2sHmjj/MvHQTAQ4/N4tPcRgH5d2OI9xfQtVkIY/sk0vbwXjrHd6DzQ0sIS2jB09bKahXadExCCCF+5V7FvCkOK/BdXZ9Kanu7fyvwcn0qFUIIcfIdKihhy548NqxYz6YNaUza9QMRWzfxbov+vO+4hPUDc4mJj6V98xhGlhymS0sDR8dWdO+dTMt2rRq6+0II8asjn3sJIcSvTN6hXH75eRN6agZbsw6TmldOGtEcCI+tPCfa35hR5WF0H3ER17TvyrAWsdjCzZRlt91xdUN1XQghTpeOdpenxsXdfG7nmJqOBaotEO6lO7Tq1mlWgKF59cbVHAuK7tDuAqZizjleD9wCtAZSgKaYw9s3aV69RHdoEcC7QH9gP3CdNV1DCCHOaGX5+ZSkbWfXplRm6TmMH9WP3kN68sWC75m+qRyIIKIsDnt5DoMjCugxJBnN0ZbkJhEkNo8lJMQMeBMb9jKEEKIh7AOeO9FKaguE12te/aTfDKw7tDbANKCb5tULdYf2ITABcx7yC5pXT9Ed2r8xb8j7l/X9oObVO1vZK54CrjvZ/RJCiFPFX+onbeM2tuSVs7UwlE3bdrPJu4vLUr/j6tQl7IuK48ORD9DTu5PeQ3pywfC+vBS+nm7dO9BB60BoWGhDX4IQQvza5PrcziUnWklDTY0IA6J0h1YKRANZwAjgeuv4LOAxzEB4rPUzmAt7vKw7NKV5deN0dlgIIYJVXFDEm68twLs3j62FoWwPa0xxWDgASkH7JlEkhxXR9cJBtJk2jg6dOrMpKQlbhHlOy3atGCNzeoUQoja+k1FJbYHwRyejgao0r56hO7RngZ1AIbAIWAUc0rx6xbrQ6UAb6+c2wC6rrF93aDlAMyA7sF6l1O1Yy+mFh4efiq4LIUSlwoIiMjduoVlGGsVbtvJwZgzN46J58vFJ2CLDeSUjFFt5DJ1UPldF5+BIjKd73y706NuVqHAZ4RVCiBPhczvHHf+s46sxENa8+pMno4GqdIfWBHOUtwNwCDPgvqyaUytGfFUtx47sMIzXgdcBGjVqJKPFQoiTory8nJ2bd7Dhl21sPlCMLz4Rb9Zhtu05TJu8fbz+9TMom42o828iJsG8mS0kJITv7hlGk5bNCAkJOU4LQgghGkpDTI0YCWzXvPo+AN2hfQL8BojXHVqYNSqcBGRa56cDbYF03aGFAXHIynZCiFOgsKCIqOhIAF598SM+35FHWkhj8m2RleckHT6Io1Vjhkfk0TWmJR3v/ozw9u35R9jRf06btW5xWvsuhBDnGrvLo4Akn9u5q7511Lagxp2aV/+H7tDO17z6svo2UI2dwGDdoUVjTo24GFgJfAtcg5k5YhIw3zp/gbX9o3X8G5kfLIQ4UVm79rDup030yN6G2qzzbnYEb7ccyC+PjyYqOpL9eUUAjIo8jKM1dO+SRPf+XYlvFt/APRdCCAHgczsNu8vzKWZmsXqpbUT4FuAfwD+xVu44GTSvvkJ3aHMxU6T5gTWYUxo8QIru0J6w9r1lFXkL+I/u0FIxR4InnKy+CCHOfv5SP1vWb+WXdWls2rmf7S07omcXkZ1XDMDzS+bSK9pPr+5DmByfR3GhOSr88EM3NXDPhRBCBGG53eU5z+d2/lyfwsowqh9c1R3abGAI0ALYFlgGM49wr/o0eDo0atTIyM/Pb5C2Z86cCcDkyZMbpH0hzmW5B3MAiG0Sx4pvfuaxBRtJs8VRHGreQBtW7qdzk0h6dG5F12iDzuQxYGA3Yls0bchuCyHEGUcpVWAYRqOG7ofd5dkEdMXMIpGPFaf63M6g4tTabpabqDu0VsCXQFCrcwghxOlgGAa79x1mzZKVxGTtpOP2X9iZmsEN3W7iIXspU/4wjtj4GCKVwbiow3RrG0+vHh1w9O5CRHTk8RsQQghxpqgu4ULQar1ZTvPqu4HeukMLB7pYuzdrXr30RBoVQohgVWRtWLN6C+u372VreFP0kojKqQ2jfNu5d/9GkhwOfh+fw4A+5iBAt34a8/ppDdl1IYQQp5jP7dxhd3mGAsk+t/Mdu8vTAogJtvxxs0boDu1CzCWOfZjDzW11hzZJ8+pL69lnIYSoVnl5OYf2HqRpq2YA3HjP2/xCLIdt0QCElMfRIayQC/sk0aNNYzrl76FX37uIb9EEgPsbrOdCCCEagt3leRQYgDk94h3ABrwHnB9M+WDSpz0PXKp59c0AukPrAszmBO7QE0KI8nKDrRtSSV27hQG7N1G0cSPTbX3Ij4ln4YuTAWhsgwtVLj0SFb27taPXed2Ibhz4Rr9Dg/RdCCHEr8ZVQF/MJAz43M5Mu8sTG2zhYAJhW0UQDKB59S26Q7PVuZtCiHNWaXEJm9dtYe0vaWzIyiOtRQc2ZuaQX1JGWLmfeV/OJqZLZ8Z2VZS3a1JZ7lX3rQ3YayGEEGeAEiuNmgFgd3nqdANfMIHwSt2hvQX8x9q+AXNJZCGEOEaZvwwVoggJCeGjWQuZuWYvqZWZG0KJKIuiWxM/1/RPoktIAT2aRdDtr8sJjQiX8V0hhBB19aHd5XkNiLe7PLcBtwJvBFs4mED4D8D/AdMw5wgvBV6tR0eFEGeZ8vJydm3dRWiql3DvRhZv2cvjMefx0USNbgO6UVzqR2FwZVQOPds1pU/vTjj6dCXM1hCLWgohhDjb+NzOZ+0uzyXAYczEDo/43M6vgi1/3P9Gmlcvxpwn/Hy9eymEOCvszdjLqh83oIc0ZuNhg7Vp+9hfYvDn1XMYlbmGxO79ubTZYWzh5p+WG6eO4cYG7rMQQoiGYXd5RmMuzhYKvOlzO91Vjg8DXgR6ARN8bufcgGOTgIeszSd8buesWppaD0QBhvVz0GRYRghRo5z9Obz9zkJ+2VOI7o9kd0QcAIoCOiXEMqxLc5L37+DiR+4k+bwehEREMLSB+yyEEKLh2V2eUOAV4BIgHfjZ7vIs8LmdmwJO2wlMBqZXKdsUqMgGYQCrrLIHq2lnKvAI8A3mzIV/2l2eGT638+1g+imBsBACw++neOtWCtet47G1eXRKiGXa3dcRHmHjlb3RNPcbaGFFXNdc0cfRlr5DehLfLM4qPbBB+y6EEOJXaSCQ6nM70wDsLk8KMBaoDIR9bqfPOlZepewo4Cuf23nAOv4VMBoza1lV9wJ9fW7nfuvcZsAPwMkPhHWHFgLEaF79cF3KCSF+XXbvPsC6/SWs2XmI5d/8TOjB/Tzx/WvmsQt+R5NGEQBExUTz8/QLaJIgSxALIYQ4SphSamXA9uuGYbwesN0G2BWwnQ4MCrLu6sq2qeHcdCA3YDu3StlaBbOgxgfA74EyzGwRcbpDe17z6s8E24gQouEU5hWw5sf1rFzvY21WHhv80eyNaAyALVTRJTySHolxJD77LFF9epPSpg1KqcryEgQLIYSoht8wjAG1HFfV7DOCrLsuZTOAFXaXZ751zljgJ7vLczeAz+2s9R63YEaEu2le/bDu0G4AFmIu3rQKkEBYiF8ZwzDI3OLjh+U6V980mpCQEO55IoWFtARiSPCX0yOsgD4JIZw/7hK6t4kj0hba0N0WQghx9kkH2gZsJwGZdSg7vErZxTWcu836qjDf+h7UohpBLahhLaBxJfCy5tVLdYcWbEQvhDiFikrLWLVyMz9+t47hO1bSeO0K/hvTmX/2vZa+G7fRuWcyN43swSV7DnLe4O4kdUpq6C4LIYQ4N/wMJNtdng6Yo7YTgOuDLPsl8KTd5alYYelS4IHqTvS5nY+fSCeDCYRfA3zAOmCp7tDaY+ZqqzfdocUDbwI9MIexbwU2A3MAu9XeeM2rH9QdmsJMvXE5UABM1rz66hNpX4gz1Z70Pfy4dC0/b9nNhtgkNh0oprTMABrTLLuYURdcwJXde3ORPZH2XdoDMGSk3MwmhBDi9PK5nX67y3MHZlAbCrztczs32l2eGcBKn9u5wO7ynAfMA5oAV9hdnsd9bmd3n9t5wO7y/BUzmAaYUXHj3MmmDKPug7u6QwvTvLq/vo3qDm0W8J3m1d/UHVo4EA08CBzQvLpbd2guoInm1e/XHdrlwJ8wA+FBwD80r17rZOtGjRoZ+fn59e3eCZk5cyYAkydPbpD2xdkny5fBX//9JeuKwsmINN8c28r8dG8SxqC+HenfuhF9WkSS0CahgXsqhBDiXKGUKjAMo07LGf8aBXOzXARwNeZIbeD5M+rToO7QGgPDMPPGoXn1EqBEd2hjOTIfZBbmXJD7MSc9v6t5dQNYrju0eN2htda8elZ92hfi16qsqIjijRvJX7Wa6ZsVfVo34q7pE4mNb8zykkZ0C83n6maHGdi7A/3P701Uo6iG7rIQQghxRgtmasR8IAfzBrnik9BmR2Af8I7u0Hpb9d4JtKwIbjWvnqU7tIrhrZpSaBwVCCulbgduBwgPDz8J3RTi1MrJLWBVRi4rth/g+/+tJOrgPv76g7U8+oW/A2IAiImPZeWz1xISEtJwnRVCCCF+Rewuzz+pJQuFz+2cFkw9wQTCSZpXHx1sx4Jssx/wJ82rr9Ad2j8AVy3nB5VCw8pd9zqYUyNORkeFOJn2Zuxl2eI1rNicxcrDim0RzTCUwhaqcERG0rt9U5JueJmovn2Z1fTolGUSBAshhBBHWXn8U44vmED4B92h9dS8ep3Wbq5FOpCuefUV1vZczEB4T8WUB92htQb2Bpxf3/QbQjSY3TuyaNW+NQAPPjqLD4qbAxBeFk93dZCpcTlcNH4Ufds1ISpcUpgJIYQQwfK5nbOq2293eSKBK4KtJ5hAeCgwWXdo2zGnRijA0Lx6r2AbCaR59d26Q9ulO7SumlffDFyMudzeJmAS4La+V+SBWwDcoTu0FMyb5XJkfrD4Ndq5ZQdhG9ehVq/kk225PNNuJIsndcOudeD87m2IT9vLb/p1pP/QPkRFRzZ0d4UQQoizgt3lCcVMsTYRc3nm74CPgikbTCB8Wf27VqM/Ae9bGSPSgFuAEOBD3aFNAXYC11rnLsTMGJGKmT7tllPQHyHqLH1bOiuyClieVciyjelkFsF9K1O4OCeV/uddwJ3NcytvaHOOH4mzgfsrhBBCnE3sLs8wzNzETuAn4Hygg8/tLAi2jqDSp1k3tV1gbX6nefV1de/u6SPp08SpsD9rH0u+XsUybxY/59nYaaUyi4uyMahNDL1y0xk91EGnft1RoTLVQQghxNmrodOn2V2edMyB038Bn/rczly7y7Pd53Z2qEs9waRPuxO4DfjE2vWe7tBe17z6P+vaaSHOJLkHc9iblU2nbp3IPZjDwBd+pCwklEh/HL1DDnFV81yGX9ibXv0dhIZUd0+nEEIIIU6RjzFXPb4OKLO7PPOpJYtETYKZGjEFGKR59XwA3aE9BfwISCAsziqFBUV4l60mSV9J/vIVTG08jLgoGx+/0InYJnE80N6PIzmB84b2IULm+AohhBANxud23ml3ef4MXIQ5N/gZoLHd5RkPLPS5nXnB1BNMIKyAsoDtMqpPaSbEGaW8vBzvhu38eDiEpVv2sXxzFiF+Px9+8QYx3bvxh3bQtGdy5flT/29cA/ZWCCGEEIF8bqcBfAN8Y3d5bJj3tU0AXgWaB1NHMIHwO8AK3aHNs7avBN6qe3eFaHj7Mvey+KuVLPHuZkVRFPsiGgPQsUUjru4QzeB4SH74eyLj46jTJCMhhBBCNAi7y9MCwOd2LgAW2F2eoJdePW4grHn153WHthgzjZoCbtG8+pp69lWI06qkqBij3CAiOpL33lzAw1sVhgohprQxA0JzuKBdBJeOvZC2bZo1dFeFEEIIESS7y6OAR4E7MDOPKbvL4wf+6XM7ZwRbT42BsO7QGmte/bDu0JoCPuur4lhTzasfqF/XhTi1CnelU7Tse/Rlq5kaMYhHukcy4RYnAwd05ba9P3PRwC4MuKAPtghZilsIIYQ4Q/0ZM13aeT63czuA3eXpCPzL7vLc5XM7XwimktpGhD8Afgus4ui78JS13bE+vRbiZCstK2fVjoN8vW4Xi5asp3fGRv6wfj7NEtvgHNyVTh36ANClT1ce7NO1gXsrhBBCiJPgZuASn9uZXbHD53am2V2eG4FFwIkFwppX/631XaZKil+dPel7+OqLFXyzOZufQpuRRxhhIYreEYp+5/em41O3E96hA88oua9TCCGEOAvZAoPgCj63c59141xQapsa0a+2gppXXx1sI0KcLG+9+gkfbzmMHtEMQ4XSpKwRw6NycV57MUOTmxMbGfRrXwghhBBnrpJ6HjtKbVMjnqvlmAGMCLYRIeqjvKSE1V/9wEfLfTzx0PXYIsLZtieXchS3xeVwyW80+g3tQ2iYrOImhBBCnGN6212ewxyZsltBAUEn+69tasRF9e+bEPVzKDuHL/77PZ3XLyN2ySLWxHVkfr8J3LRuCz0G9uCvD98oga8QQghxjvO5nSclGKhtakStqwdoXv2T2o4LEaz0bel8ve0QX6cX8MPWffgNmJpexJTLL+Pqi0Zw48BBRMVEA0gQLIQQQohKdpdnpM/t/F+VfZN8buesYMrXNjXiilqOGYAEwqLetqzdzIJFq/k6sxg9sgUA7ZtFc8v5di60HWbwX58mzBbMei9CCCGEOIc9Ynd5rgamAzHAm0AxcGKBsObVbzkp3RMiQHl5OVfdM4t1EQlAY7qSzR/iD+Ec2Y/u/R0oyfIghBBCiOBdCNwDrLW2H/G5nbODLVzb1IgbNa/+nu7Q7q7uuObVn69TN4+tPxRYCWRoXv23ukPrAKQATYHVwE2aVy/RHVoE8C7QH9gPXKd5dd+JtC1On5KdO/lo7hL+l1XKO8/cSkhICEMSwvn/9u48TIrq3v/4+zssooyAgAswaosgXagwoBhQFNQoQnOVGMISbgSXS4xBTEiirUlu1F9i2qsx6o+4cF3ARAXFKMQ2oBdFvREXEFGwmrjQCrggCChrmJlz/6iasRlm6ZmB6Rnm83qefqbr1DlV3+56Cr5z5tQ5Zx+whRHD+3PUcUfnOkQRERFpvA4BvgV8ABQAR0fiSUsnYq7qZoG8Kva1Dn8eXMmrrq4C/Iztm4E/eim/O7ARuDQsvxTY6KX8bgSTI9+8F84t+9D7fppb/+tRlo4cywfnDuGTZ1/g8115bPpiIwDxa8cxecpoJcEiImELCpgAACAASURBVCJSV68Cf08nYucB/YDOwD+ybVzV0Ih7w5831DXC8vyoVwDEgN8BU/yoZwTTsX0/rDIDuB64G7ggfA8wG5jqRz3zUn5Wmb7Uj88++pTke5uYm9rAsjWbgTYcenABw68ZwlXnnsMvunTJdYgiIiKy//l2OhH7GCCdiG0HJkfiyTOybVzV0Ig7q2ropfzJWYe4p9uBq/mmZ7kDsMlL+UXh9hqgNHPqAqwOz1nkR73NYf09VhOR+rVl09fMfWIhc1Z8wRvNO1KS14yendpw7bePZUiXA4h4sVyHKCIiIvux0iS4XNlL2bav6rH8y4HlwGPAJwQTFNeZH/WGA+u8lL/Ej3qDw+KKju2y2FfGzCYCEwFatmy5FyKVyhQXFXPlr2bwfFE7djQ/gMPcgVyUv4mRw/pxwslersMTERERyUpViXAn4HvAaKAImAU84aX8jXU852nA+X7UG0aw8kcbgh7idn7Uax72ChcQJN8Q9A4fCazxo15zoC3wZfmDOuemAdMAWrdurWETe9m7i1fwymsruezHF9KseTN2FsOQlpv57unHcdo552l+XxEREWl0qhojvAG4B7jHj3pdgLHACj/qXeOl/D/X9oReyr8WuBYg7BH+uZfyx/lR73FgJMHMEeOBOWGTueH2onD/8xofXD82bdjErv95li1/fYI//6sTs7sN5sLPNtD+iA7cf8sluQ5PREREhEg82Qw4nIy8tqIhExWpdsUCP+r1JUiCzwH+DiypXZjVugaY6Ue93wJLgfvD8vuBP/tR732CnuAx++j8AjjneCO9kb/87Q3mf7yN+OJZnJG/k0sv6MNPhvSn/REdch2iiIiICACRePJK4DfA50BJWOyAXtm0r+phuRuA4QRTnM0Ers14mG2v8FL+QmBh+P5D4JQK6uwgGKIh+9C6tet4+NEFPLWtLR9tc7Rumcd5LTdy8o3X0vX0k7TQhYiIiNRIJJ48D7gDaAbcl07EEuX277FWRDoRS0fiyQhB/rkyrPpqOhG7vJLTXAX0SCdiG2oTY1U9wr8GPgR6h6+b/KgHwcNrzkv5WWXa0nCVlJTw+guLmfHscv6npD27mrWhsNkWJn/vVIaeeAQHtdQSxyIiIlJz4XCFPxGMKFgDvBGJJ+emE7F3M6pdCmxMJ2LdIvHkGIK1IkaH+z5IJ2KFWZxqNbC5tnFWlekcU9uDSuPwH9dMZ0GzwzmwuB0XtNrIhPP7ccIpJ+Q6LBEREWn8TgHeTydiHwJE4smZBGtDZCbCe6wVEYkna/on6A+BhZF4MgnsLC1MJ2JZrYBcVSL8cXUPpWlhi8Zl9cpV/PfMl7n6qu+Q3+5ghhx/OKd8vZ0x3z+Hth3a5jo8ERERaTyam9nijO1p4QxepcrWgQitIVgKmYrqpBOxokg8WbpWBMAxkXhyKfAV8Kt0IvZyJXF8HL5ahq+afYgq9r3gR70ngDleyi978s6Pei2BgQQzObwATK/pSaV+fbXsbb6eMZ1X3/gnfxkwkUEvLeXs889g1AQteCEiIiK1UuScO7mK/dmsA1FZnU+Bo9KJ2IZIPHkS8FQknjw+nYh9Vb5yOhGr0wrIVSXC5wGXAI/6Ue8YYBPBvL/NgGeBP3op/626nFz2nZISx7NLP+Kuv7zA0WvfY9KHL3P690bx8oW96dL96FyHJyIiIvu30nUgSmWuEVG+zppIPFm2VkQ6EXOEwxzSidiSSDz5AXAcUNYDHYknb08nYj+JxJN/o4KF1tKJ2PnZBFnVPMI7gLuAu/yo1wLoCGz3Uv6mbA4subFz2w5m/X0JD67axar1Wzmi5cEMG9CLbg9cR7P8/FyHJyIiIk3DG0D3SDx5DLCWYPrb75ers8daEelEzEXiyUMJEuLiSDzZFehOMBY4U+maFrfWJcispgXwUv4ugm5qaaC2b9nG9AeSPLCqiC8OaMOJR7Rm6vf7cN7xR9C8WV6uwxMREZEmJBzzOwmYTzCa4IF0IrYiEk/eCCxOJ2JzCdeKiMST5deKOAO4MRJPFgHFwOXpROzLcsdfEv58sS5xmnP737NurVu3dlu3bs3JuadPnw7AhAkT6uV8WzZ9zf33P8OMtfBly3xO2LGOK8+IcM6IQeTlKQEWERGRvc/MtjnnWuc6jrrSRLGN3Mfvr+b2dQfRx63nD6d1ZlBsqBJgERERkSxks8TyJOBhL+VvrId4pBquuJiZDzzN22s28fsbxtPz5J48k5eH1/ffch2aiIiISE5E4snW6USsxsMBsukRPgJ4w496bwIPAPM1d3D9KykpYcvzz/PF7bfzdotuLD26kO1btnFg/kF4faO5Dk9ERESk3kXiyVOB+4B84KhIPNkb+GE6Ebsim/bV/g3dS/m/Inha735gAvCeH/Vu8qPesbWOWmrkrTdX8p2fzeCJ394NxSX8fOJQnrntIg7MPyjXoYmIiIjk0h+BIcAGgHQitozgYbusZDWYNOwB/ix8FQGHALP9qPdfNY1Wsvfl1n9x3ZPvcOHj75POO5j8MWPp+re5dBg6ROOARURERIB0Ira6XFFxtm2zGSM8mWCOt/UEXc+/8FL+Lj/q5QHvAVfXIFbJQtGuIqbd9SR3rW3O9uYHMP7UCFedeSzt8lvlOjQRERGRhmR1ODzCReLJlsBkwM+2cTZjhDsCF3op/6PMQi/ll/hRb3iNQpVqLVv0DtfMWkKq1aGcXPQ5v/3hUKLHdsp1WCIiIiIN0eXAHUAXgpXqngV+nG3jSucR9qNe+6oaein/y6r2V8aPekcCDxE8hFcCTPNS/h3h+WYBESANjPJS/kY/6hnBBxwGbAMmeCn/zarO0RjnEd6+bQe33PY4M75qS37RDq49sTWjxmsqNBEREWl49pd5hKvKspYQrOm8OHyf+VpcRbvqFAE/81K+B/QHfuxHvZ5AHFjgpfzuwIJwG2AowcN63YGJwN11OHeDVVJUxN835HGuree5nw1mzMUxJcEiIiIiVYjEkzMi8WS7jO1DIvHkA9m2r3RohJfyj6lrcJUc91PC5Zq9lP+1H/V8gu7sC4DBYbUZwELgmrD8ofCBvVf9qNfOj3qdwuM0asVFxUyfNoexPxhC6zb5/P26YbQ79JBchyUiIiLSWPRKJ2KbSjfSidjGSDzZJ9vGWXU5+lHvQj/q3eZHvT/4UW9EbaKs5LgRoA/wGnB4aXIb/jwsrNYFyHwacE1Ythszm2hmi81scVFR0d4KcZ/ZtW4d8664mv/38QE8+pf5AEqCRURERGomLxJPliVQkXiyPTVYOTmbWSPuAroBj4ZFl/tR7xwv5Wc9ELmS4+YDTwA/8VL+V37Uq6yqVVC2x8Bm59w0YBoEY4TrEtu+tuaVxWy/ZgrHbtnC9Mmncsb47+Q6JBEREZHG6A/AK5F4cna4/T3gd9k2zqZHeBAwxEv5D3op/0GCh9YG1zTKTH7Ua0GQBD/spfy/hsWf+1GvU7i/E7AuLF8DHJnRvAD4pC7nzxXnHPfdl+TsJ1ezvGNXIjNnMvji72ossIiIiEgtpBOxh4DvAp8T5I4XphOxP2fbPpsMbCVwVMb2kcDbNQkyUzgLxP2A76X82zJ2zSWYr5jw55yM8ov8qGd+1OsPbG6M44OLSxzXz13Bb9+HvvYVg+7+A616HJfrsEREREQanUg82Sb82Z5gwbdHgIeBz8KyrGQzhqID4PtR7/Vwux+wyI96cwG8lH9+TQIHTgN+ALzjR723wrLrgATwmB/1LgU+JujaBniGoBf6fYLp0y6u4flybvuWbUya+hwLNjXnP04/hmuHDiMvr6IRHyIiIiKShUeA4QSzmWUOibVwu2s2B8kmEf7PGodWBS/l/y8Vj/sFOLuC+o4aTIzc0Hy9cTM/uPGvvHXAYVxT2IYfxXrmOiQRERGRRi2diA2PxJMGDEonYh/X9jjVDo3wUv6LBMMj2gJtgJVeyn+x9FXbEzcFW7/awg9u/Ctvt+zI749z/GjM6bkOSURERGS/kE7EHPBkXY5RbSLsR73LgNeBC4GRBHP5XlKXkzYF27ftYPz1j7GsZUd+18MYe4lWoxYRERHZy16NxJP9ats4m6ERvwD6eCl/A4Af9ToArwBZr9rRFL3x4pssa9aB3xxTzNhL9trUyyIiIiLyjTOByyPxZBrYSjhGOJ2I9cqmcTaJ8Brg64ztr9l9gQupwBlDT2VBt485qvtR1VcWERERkdoYWpfG2STCa4HX/Kg3h+ApvAuA1/2oNwWg3BRoTd66VRvZvrMYQEmwiIiIyD4QiSdbAZcTLPr2DnB/OhGr8dLC2cwj/AHwFN9MTTEH+BQ4OHxJqHjzZpauLmLetsPYvm1HrsMRERER2V/NAE4mSIKHEqwwV2PV9gh7Kf+G2hy4KVp3663EX3uK174/ngMPapXrcERERET2Vz3TidiJAJF48n6CiR1qrNpE2I96L7D7RMUAeCn/rNqccH+1ctFbbJ7zDFtO6kPLLh1zHY6IiIjI/mxX6Zt0IlYUiSdrdZBshkb8nGDmiF8AvwbeAhbX6mz7sesee5NfDLqSNQNOq3Hb/Pz8autcdtllvPvuuwDcdNNNu+079dRTa3WOwYMHM3/+/N3Kbr/9dq644ooaH2tv2rBhA2eeeSb5+flMmjSpRm137tzJ6NGj6datG9/61rdIp9MV1ps3bx49evSgW7duJBKJsvKpU6fSrVs3zIz169eXlS9cuJC2bdtSWFhIYWEhN954Y60+m4iIiOwVvSPx5Ffh62ugV+n7SDz5VbYHMef26Oytlh/1XvRS/qAaN6wnrVu3dlu3bq238y1bvZEL/vQKPz26hLYHbgBgwoQJWbfPz89ny5Yt+6x+ZW3uvfdeXn31VR588MGysv79+3PLLbdw+umVL/5Rm/PXxNatW1m6dCnLly9n+fLlTJ06Neu2d911F2+//Tb33HMPM2fO5Mknn2TWrFm71SkuLua4447jueeeo6CggH79+vHoo4/Ss2dPli5dyiGHHMLgwYNZvHgxHTsGvfsLFy7k1ltv5emnn96rn1VERKQxMrNtzrnWuY6jrrJZUKN9xqujH/WGAEfUQ2yNxoxFH3HwAc255OLz6nSchQsXMnjwYEaOHEk0GmXcuHGU/qJSmpjF43G2b99OYWEh48aNA77pod2yZQtnn302ffv25cQTT2TOnDlVnm/kyJE8/fTT7Ny5E4B0Os0nn3zCwIEDszrWwoULGT78m4VCJk2axPTp0wFYsmQJgwYN4qSTTmLIkCF8+umne7SfMGECl19+OaeffjrHHXdcWZLZunVrBg4cSKtWNR9nPWfOHMaPH1/2+RYsWED5X/Zef/11unXrRteuXWnZsiVjxowp+3x9+vQhEonU+LwiIiLS+GQzfdoSgjHCBhQBq4BL92VQjcn2LduY/9ZqhvY8nINbtajz8ZYuXcqKFSvo3Lkzp512Gv/4xz8YOHBg2f5EIsHUqVN566239mjbqlUrnnzySdq0acP69evp378/559/PmZW4bk6dOjAKaecwrx587jggguYOXMmo0ePxsxqfKxMu3bt4sorr2TOnDkceuihzJo1i1/+8pc88MCea7Ck02lefPFFPvjgA84880zef//9KhPg0aNHs3Llyj3Kp0yZwkUXXcTatWs58sgjAWjevDlt27Zlw4YNZT27wG51AAoKCnjttdeq/VyLFi2id+/edO7cmVtvvZXjjz++2jYiIiLScGUza8Qx9RFIY7Vw3qtsLcnj2wfunaEYp5xyCgUFBQAUFhaSTqd3S4Sr4pzjuuuu46WXXiIvL4+1a9fy+eefc8QRlXfgjx07lpkzZ5YlwqXJam2OVWrlypUsX76cc845BwiGInTq1KnCuqNGjSIvL4/u3bvTtWtXUqkUhYWFlR67/DCH8ioa6lM+ec+mTnl9+/blo48+Ij8/n2eeeYYRI0bw3nvvVdlGREREGrZKE2E/6vUDVnsp/7Nw+yLgu8BHwPVeyv+yfkJs2N5IrSXPteO0s/ruleMdcMABZe+bNWtGUVH2c0M//PDDfPHFFyxZsoQWLVoQiUTYsaPq+YxHjBjBlClTePPNN9m+fTt9+/bN+ljNmzenpKSkbLt0v3OO448/nkWLFlUbc/kEtLqEtLoe4YKCAlavXk1BQQFFRUVs3ryZ9u3b71a3tE6pNWvW0Llz5yrP26ZNm7L3w4YN44orrmD9+vW79TSLiIhI41JVj/C9wLcB/Kh3BpAArgQKgWnAyH0eXQY/6p0H3AE0A+7zUn6imib1IrVxF0cXb+TgQ9rW2zlbtGjBrl27aNFi96EYmzdv5rDDDqNFixa88MILfPTRR9UeKz8/n8GDB3PJJZcwduzYGh3r6KOP5t1332Xnzp3s2LGDBQsWMHDgQHr06MEXX3zBokWLGDBgALt27eKf//xnhUMJHn/8ccaPH8+qVav48MMP6dGjR5XxVtcjfP755zNjxgwGDBjA7NmzOeuss/ZIrvv168d7773HqlWr6NKlCzNnzuSRRx6p8rifffYZhx9+OGbG66+/TklJCR06dKiyjYiISFMWiSd3y93SiVii3P4DgIeAk4ANwOh0IpYO911LMBS3GJicTsR2n+ZqL6nqYblmGb2+o4FpXsp/wkv5vyZYzq7e+FGvGfAngpVDegJj/ajXsz5jqMyXxc3omFfjFf3qZOLEifTq1avsYblS48aNY/HixZx88sk8/PDDRKPRrI43duxYli1bxpgxY2p0rCOPPJJRo0aVxdKnTx8AWrZsyezZs7nmmmvo3bs3hYWFvPLKKxWeu0ePHgwaNIihQ4dyzz33lI0PjkQiTJkyhenTp1NQUFA2dVx1Lr30UjZs2EC3bt247bbbyqZG++STTxg2bBgQ9GRPnTqVIUOG4Hkeo0aNKkvS77zzTgoKClizZg29evXisssuA2D27NmccMIJ9O7dm8mTJzNz5sysxkuLiIg0RZF4co/cLRJPls/dLgU2phOxbsAfgZvDtj2BMcDxwHnAXeHx9rpKp0/zo95yoNBL+UV+1EsBE72U/1LpPi/ln7AvAqoklgEEwzGGhNvXAngp//cV1a/P6dP6//QRerXYwbT/ugSgbNaEmkyf1lRNmDCB4cOHM3Jkvf5xQUREROqouunTIvHkAOD6dCI2JNy+FiCdiP0+o878sM6iSDzZHPgMOBSIZ9bNrLe3P0dVQyMeBV70o956YDvwMoAf9boBm/d2INXoAqzO2F4DfCuzgplNBCZC0CNZX5JXn0NR8TfjZJUAi4iISBPQ3MwyF1ib5pyblrFdbe6WWSdcHW4z0CEsf7Vc2y57K/BMlSbCXsr/nR/1FgCdgGe9lF/adZxHMFa4PlX0N+jdurLDL38aBD3C9REUQIdOh9bXqfY7pb3nIiIi0ugUOedOrmJ/tblbFXWyabtXVDl9mpfyX62g7J/7IpBqrAGOzNguAD7JQRwiIiIiUr1scrfSOmvCoRFtgS+zbLtXZLOgRkPwBtDdj3rHAGsJBlB/P7chiYiIiEgl3gC6R+LJqnK3ucB4YBHBbGTPpxMxF4kn5wKPROLJ24DOQHfg9X0RZLVLLDcEXsovAiYB8wEfeMxL+StyG5WIiIiIVCSdiO2Ru6UTsRWRePLGSDx5fljtfqBDJJ58H5jCNw/JrQAeA94F5gE/TidixfsizkpnjWjM6nPWCBEREZGmprpZIxqLRtEjLCIiIiKyt+2XPcJmVkIw5Vt9aQ7U76oaUle6Zo2TrlvjpOvW+OiaNU71ed0OdM41+g7V/TIRrm9mtriaKUSkgdE1a5x03RonXbfGR9escdJ1q7lGn8mLiIiIiNSGEmERERERaZKUCO8d06qvIg2MrlnjpOvWOOm6NT66Zo2TrlsNaYywiIiIiDRJ6hEWERERkSZJibCIiIiINElKhOvAzM4zs5Vm9r6ZxXMdj1TMzI40sxfMzDezFWZ2VVje3syeM7P3wp+H5DpW2Z2ZNTOzpWb2dLh9jJm9Fl6zWWbWMtcxyu7MrJ2ZzTazVHjPDdC91rCZ2U/DfxuXm9mjZtZK91rDY2YPmNk6M1ueUVbhvWWBO8P85G0z65u7yBs2JcK1ZGbNgD8BQ4GewFgz65nbqKQSRcDPnHMe0B/4cXit4sAC51x3YEG4LQ3LVQRr1Je6GfhjeM02ApfmJCqpyh3APOdcFOhNcP10rzVQZtYFmAyc7Jw7AWgGjEH3WkM0HTivXFll99ZQoHv4mgjcXU8xNjpKhGvvFOB959yHzrl/ATOBC3Ick1TAOfepc+7N8P3XBP8xdyG4XjPCajOAEbmJUCpiZgVADLgv3DbgLGB2WEXXrIExszbAGcD9AM65fznnNqF7raFrDhxoZs2Bg4BP0b3W4DjnXgK+LFdc2b11AfCQC7wKtDOzTvUTaeOiRLj2ugCrM7bXhGXSgJlZBOgDvAYc7pz7FIJkGTgsd5FJBW4HrgZKwu0OwCbnXOnyobrnGp6uwBfAg+GQlvvMrDW61xos59xa4FbgY4IEeDOwBN1rjUVl95ZylCwpEa49q6BMc9E1YGaWDzwB/MQ591Wu45HKmdlwYJ1zbklmcQVVdc81LM2BvsDdzrk+wFY0DKJBC8eUXgAcA3QGWhP8Wb083WuNi/69zJIS4dpbAxyZsV0AfJKjWKQaZtaCIAl+2Dn317D489I/FYU/1+UqPtnDacD5ZpYmGHZ0FkEPcbvwz7ege64hWgOscc69Fm7PJkiMda81XN8GVjnnvnDO7QL+CpyK7rXGorJ7SzlKlpQI194bQPfwydqWBA8XzM1xTFKBcGzp/YDvnLstY9dcYHz4fjwwp75jk4o55651zhU45yIE99bzzrlxwAvAyLCarlkD45z7DFhtZj3CorOBd9G91pB9DPQ3s4PCfytLr5nutcahsntrLnBROHtEf2Bz6RAK2Z1WlqsDMxtG0EvVDHjAOfe7HIckFTCzgcDLwDt8M970OoJxwo8BRxH8Z/A951z5BxEkx8xsMPBz59xwM+tK0EPcHlgK/Ltzbmcu45PdmVkhwQOOLYEPgYsJOl10rzVQZnYDMJpghp2lwGUE40l1rzUgZvYoMBjoCHwO/AZ4igrurfCXmqkEs0xsAy52zi3ORdwNnRJhEREREWmSNDRCRERERJokJcIiIiIi0iQpERYRERGRJkmJsIiIiIg0SUqERURERKRJUiIsIg2GmRWb2VtmttzM/mZm7XIdU1XMbISZ/Wf4/nozc2bWLWP/T8Oyk8PtZ0o/k5ltCX9GzGx5+P5kM7szB58jGn7vS83s2CzblF6rFWa2zMymmFleuTp3mNnazHIzm2BmU8P3k8zs4r37aUREsqdEWEQaku3OuULn3AnAl8CP99WJMlbNqourgbsytt8hWACk1EiCxQkAcM4Nc85tquxgzrnFzrnJeyGumhoBzHHO9XHOfZBlm9JrdTxwDjCMYF5TAMLk9zvAauCMSo7xAJCLzysiAigRFpGGaxHBpP4AmNkvzOwNM3s7XAAAM2ttZsmwR3K5mY0Oy08ysxfNbImZzc9YgnShmd1kZi8CvzSzdGlvZbiy1moza2Fmx5rZvLD9y2YWLR+cmR0H7HTOrc8ofgq4INzfFdgMfJHRJm1mHSv7wGY22MyeDt+3N7Onws/7qpn1CsuvN7MHws/yoZlNruq7KHf8wvBYb5vZk2Z2SLgw0E+Ay8zshXL1jzaz98yso5nlhd/FueWP65xbB0wEJoUT+QOcCSwH7gbGVvR5nXPbgLSZnVLZdyIisi8pERaRBsfMmhEs9To33D4X6A6cAhQCJ5nZGQSrJn3inOsd9iLPM7MWwP8HRjrnTiLodcxc9bGdc26Qc+4GYBkwKCz/N2C+c24XMA24Mmz/c3bv9S11GvBmubKvCJYYPoEg+ZtVh6/hBmCpc64XwUqID2XsiwJDCL6P34SfeY/vooJjPgRcEx7zHeA3zrlngHuAPzrnzsys7Jz7CLg53P8z4F3n3LMVBeuc+5Dg/5TDwqKxwKPAk8DwMMaKLAZOr/xrEBHZd5QIi0hDcqCZvQVsIFja9bmw/NzwtZQg+YwSJMbvAN82s5vN7HTn3GagB3AC8Fx4rF8BBRnnmFXufWnP6RhglpnlA6cCj4ft7wU6VRBrJzJ6ezPMDI81giAJrK2BwJ8BnHPPAx3MrG24L+mcK+2NXgccTsXfRZmwbTvn3Ith0QwqH7JQxjl3H3AwcDnBLwVVsfBcLQmGSjzlnPuKYDnzPXqSQ+uAztXFISKyL+yNMXIiInvLdudcYZi0PU0wRvhOggTr9865e8s3MLOTCJKu35vZswTJ5wrn3IBKzrE14/3csF174CTgeaA1sMk5V1hdrEDbCsr/BtwCLHbOffXNSIEaq6ihC3/uzCgrBpo75/5Z/rtwzt1Y25OXBWF2EN/8IpEPfF1Jva5hLOsIetfbAu+En/8gYBuQrKBpK4LvUkSk3qlHWEQanLA3czLw8/BP6vOBS8LeWsysi5kdZmadgW3Oub8AtwJ9gZXAoWY2IKzbwsyOr+Q8W4DXgTuAp51zxWEP5ioz+17Y3sysdwXNfaBb+ULn3HbgGnYfjlEbLwHjwhgGA+vD2CpUyXeRGddmYKOZlQ5D+AHwItW7GXgY+E/gvys596EEwyemOuccwbCIy5xzEedcBDgGODdMqss7jmAssYhIvVOPsIg0SM65pWa2DBjjnPuzmXnAorCHcQvw7wSJ6C1mVgLsAn7knPuXmY0E7gx7lpsDtwMrKjnVLOBxYHBG2TjgbjP7FdCCYLjDsnLtXgL+YGYWJn+Zsc+s7efOcD3woJm9TdCbOr6a+idS7ruooM544J4wIf0QqHLqMjMbBPQDTnPOFZvZd83sYufcg3wzjKUFUEQwjOO28NhDgB+WHsc5t9XM/pegp7i80wjGQ4uI1Dsr9++3iIhkyczuAP7mnPufXMfSGJlZH2CKc+4HuY5FRJomDY0QEam9mwjGv0rt1MFB/wAAAEJJREFUdAR+nesgRKTpUo+wiIiIiDRJ6hEWERERkSZJibCIiIiINElKhEVERESkSVIiLCIiIiJNkhJhEREREWmS/g+DvUuQ7RSWVAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a257e6c18>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a25be2b70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a25f11d30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a26136c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Kappa_List = [2,4,6,8]\n",
"for kappa in Kappa_List:\n",
" \n",
" V0 = invariant(R0,S0,kappa)\n",
" \n",
" reserve = np.arange(0,100,.01)\n",
" supp = np.array([supply(r,kappa, V0) for r in reserve])\n",
" price = np.array([spot_price(r,kappa, V0) for r in reserve])\n",
"\n",
" fig, ax1 = plt.subplots(figsize=(10,3))\n",
"\n",
" color = 'tab:red'\n",
" ax1.set_xlabel('Reserve (Millions of xDAI)')\n",
" ax1.set_ylabel('Supply (Millions of Tokens)', color=color)\n",
" ax1.plot(reserve, supp,'--', color=color)\n",
" ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
" ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
"\n",
" color = 'tab:blue'\n",
" ax2.set_ylabel('Price in xDAI per Token', color=color) # we already handled the x-label with ax1\n",
" ax2.plot(reserve, price,'-.', color=color)\n",
" ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
" ax1.vlines(R0,0,supp[-1], alpha=.5)\n",
" ax1.text(R0+.02*reserve[-1], supp[-1], \"Initial Value R=\"+str(int(100*R0)/100)+\" mil xDAI\")\n",
" ax1.text(R0+.02*reserve[-1], .95*supp[-1], \"Initial Value S=\"+str(int(100*S0)/100)+\" mil Tokens\")\n",
" #ax1.hlines(S0,0,R0)\n",
"\n",
" ax2.text(R0+.02*reserve[-1], price[3], \"Initial Value p1=\"+str(int(1000*spot_price(R0,kappa,V0))/1000))\n",
"\n",
"\n",
" plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n",
" fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"#Power function independent variables for analysis\n",
"vec_d0 = np.arange(2.5,5.1,.1) #millon dai\n",
"vec_theta = np.arange(.1,.55,.05) #unitless\n",
"mat_R0 = np.outer(vec_d0.T, (1-vec_theta)) #million dai\n",
"vec_p0 = np.arange(.01,.11,.01) #dai per token\n",
"mat_S0 = np.outer(vec_d0.T, vec_p0) #milion tokens\n",
"vec_kappa = np.arange(4,1,-1) #integer\n",
"\n",
"mat_return_ratio = np.outer(vec_kappa.T, (1-vec_theta))"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[3.6 , 3.4 , 3.2 , 3. , 2.8 , 2.6 , 2.4 , 2.2 , 2. ],\n",
" [2.7 , 2.55, 2.4 , 2.25, 2.1 , 1.95, 1.8 , 1.65, 1.5 ],\n",
" [1.8 , 1.7 , 1.6 , 1.5 , 1.4 , 1.3 , 1.2 , 1.1 , 1. ]])"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mat_return_ratio"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Hatch Return Rate: Rho')"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a251a94e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p0_lab = [str(int(100*p)/100) for p in vec_p0] \n",
"th_lab = [str(int(100*th)/100) for th in vec_theta]\n",
"k_lab = [str(k) for k in vec_kappa] \n",
"fig, ax = plt.subplots(figsize=(10,2)) \n",
"sns.heatmap(mat_return_ratio,xticklabels=th_lab, yticklabels=k_lab, annot=True, annot_kws={\"size\": 20},ax=ax)\n",
"plt.yticks(rotation=0)\n",
"plt.ylabel('Invariant Power: Kappa')\n",
"plt.xlabel('Funding Pool Fraction: Theta')\n",
"plt.title('Hatch Return Rate: Rho')\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Funding Pool Funds at Launch (Millions of xDAI)')"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a224c9be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d_lab = [str(int(100*d)/100) for d in vec_d0] \n",
"sns.heatmap(vec_d0-mat_R0.T,yticklabels=th_lab, xticklabels=d_lab)#, annot=True)\n",
"plt.yticks(rotation=0)\n",
"\n",
"plt.xlabel('Initial Fundraise: d0 (Millions of xDAI)')\n",
"plt.ylabel('Funding Pool Fraction: Theta')\n",
"plt.title('Funding Pool Funds at Launch (Millions of xDAI)')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,15,'Intial Raise d0 (Millions of xDAI)')"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a22c0b4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d_lab = [str(int(100*d)/100) for d in vec_d0] \n",
"sns.heatmap(mat_R0.T,yticklabels=th_lab, xticklabels=d_lab)#, annot=True)\n",
"plt.yticks(rotation=0)\n",
"\n",
"plt.title('Initial Reserve: R0 (Millions of xDAI)')\n",
"plt.ylabel('Funding Pool Fraction: Theta')\n",
"plt.xlabel('Intial Raise d0 (Millions of xDAI)')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,15,'Intial Raise d0 (Millions of xDAI)')"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a22a6cc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(mat_S0.T,yticklabels=p0_lab, xticklabels=d_lab)#, annot=True)\n",
"plt.yticks(rotation=0)\n",
"\n",
"plt.title('Initial Supply: S0 (Millions of Tokens)')\n",
"plt.ylabel('Hatch Sale Price: p0 (xDAI per Token)')\n",
"plt.xlabel('Intial Raise d0 (Millions of xDAI)')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"name": "ipython",
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