images/chirp-linear.svg

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg  version="1.1"
	xmlns="http://www.w3.org/2000/svg"
	xmlns:xlink="http://www.w3.org/1999/xlink"
	viewBox="-50 -175 560 375">

<title>Linear Chirp</title>

<desc>

Linear Chirp

  y(x) = 2*sin (2*pi*(0.1+x)*x)
  x in [0, 25]

</desc>

<defs>
<!-- TeX cmr -->
<path id="minus" d="M 6.59375 -2.296875 C 6.734375 -2.296875 6.921875 -2.296875 6.921875 -2.5 C 6.921875 -2.6875 6.734375 -2.6875 6.59375 -2.6875 L 1.15625 -2.6875 C 1.015625 -2.6875 0.828125 -2.6875 0.828125 -2.5 C 0.828125 -2.296875 1.015625 -2.296875 1.15625 -2.296875 L 6.59375 -2.296875 Z M 6.59375 -2.296875 "/>
<path id="d0" d="M 4.578125 -3.1875 C 4.578125 -3.984375 4.53125 -4.78125 4.1875 -5.515625 C 3.734375 -6.484375 2.90625 -6.640625 2.5 -6.640625 C 1.890625 -6.640625 1.171875 -6.375 0.75 -5.453125 C 0.4375 -4.765625 0.390625 -3.984375 0.390625 -3.1875 C 0.390625 -2.4375 0.421875 -1.546875 0.84375 -0.78125 C 1.265625 0.015625 2 0.21875 2.484375 0.21875 C 3.015625 0.21875 3.78125 0.015625 4.21875 -0.9375 C 4.53125 -1.625 4.578125 -2.40625 4.578125 -3.1875 Z M 2.484375 0 C 2.09375 0 1.5 -0.25 1.328125 -1.203125 C 1.21875 -1.796875 1.21875 -2.71875 1.21875 -3.3125 C 1.21875 -3.953125 1.21875 -4.609375 1.296875 -5.140625 C 1.484375 -6.328125 2.234375 -6.421875 2.484375 -6.421875 C 2.8125 -6.421875 3.46875 -6.234375 3.65625 -5.25 C 3.765625 -4.6875 3.765625 -3.9375 3.765625 -3.3125 C 3.765625 -2.5625 3.765625 -1.890625 3.65625 -1.25 C 3.5 -0.296875 2.9375 0 2.484375 0 Z M 2.484375 0 "/>
<path id="d1" d="M 2.9375 -6.375 C 2.9375 -6.625 2.9375 -6.640625 2.703125 -6.640625 C 2.078125 -6 1.203125 -6 0.890625 -6 L 0.890625 -5.6875 C 1.09375 -5.6875 1.671875 -5.6875 2.1875 -5.953125 L 2.1875 -0.78125 C 2.1875 -0.421875 2.15625 -0.3125 1.265625 -0.3125 L 0.953125 -0.3125 L 0.953125 0 C 1.296875 -0.03125 2.15625 -0.03125 2.5625 -0.03125 C 2.953125 -0.03125 3.828125 -0.03125 4.171875 0 L 4.171875 -0.3125 L 3.859375 -0.3125 C 2.953125 -0.3125 2.9375 -0.421875 2.9375 -0.78125 L 2.9375 -6.375 Z M 2.9375 -6.375 "/>
<path id="d2" d="M 4.46875 -1.734375 L 4.234375 -1.734375 C 4.171875 -1.4375 4.109375 -1 4 -0.84375 C 3.9375 -0.765625 3.28125 -0.765625 3.0625 -0.765625 L 1.265625 -0.765625 L 2.328125 -1.796875 C 3.875 -3.171875 4.46875 -3.703125 4.46875 -4.703125 C 4.46875 -5.84375 3.578125 -6.640625 2.359375 -6.640625 C 1.234375 -6.640625 0.5 -5.71875 0.5 -4.828125 C 0.5 -4.28125 1 -4.28125 1.03125 -4.28125 C 1.203125 -4.28125 1.546875 -4.390625 1.546875 -4.8125 C 1.546875 -5.0625 1.359375 -5.328125 1.015625 -5.328125 C 0.9375 -5.328125 0.921875 -5.328125 0.890625 -5.3125 C 1.109375 -5.96875 1.65625 -6.328125 2.234375 -6.328125 C 3.140625 -6.328125 3.5625 -5.515625 3.5625 -4.703125 C 3.5625 -3.90625 3.078125 -3.125 2.515625 -2.5 L 0.609375 -0.375 C 0.5 -0.265625 0.5 -0.234375 0.5 0 L 4.203125 0 L 4.46875 -1.734375 Z M 4.46875 -1.734375 "/>
<path id="d3" d="M 2.890625 -3.515625 C 3.703125 -3.78125 4.28125 -4.46875 4.28125 -5.265625 C 4.28125 -6.078125 3.40625 -6.640625 2.453125 -6.640625 C 1.453125 -6.640625 0.6875 -6.046875 0.6875 -5.28125 C 0.6875 -4.953125 0.90625 -4.765625 1.203125 -4.765625 C 1.5 -4.765625 1.703125 -4.984375 1.703125 -5.28125 C 1.703125 -5.765625 1.234375 -5.765625 1.09375 -5.765625 C 1.390625 -6.265625 2.046875 -6.390625 2.40625 -6.390625 C 2.828125 -6.390625 3.375 -6.171875 3.375 -5.28125 C 3.375 -5.15625 3.34375 -4.578125 3.09375 -4.140625 C 2.796875 -3.65625 2.453125 -3.625 2.203125 -3.625 C 2.125 -3.609375 1.890625 -3.59375 1.8125 -3.59375 C 1.734375 -3.578125 1.671875 -3.5625 1.671875 -3.46875 C 1.671875 -3.359375 1.734375 -3.359375 1.90625 -3.359375 L 2.34375 -3.359375 C 3.15625 -3.359375 3.53125 -2.6875 3.53125 -1.703125 C 3.53125 -0.34375 2.84375 -0.0625 2.40625 -0.0625 C 1.96875 -0.0625 1.21875 -0.234375 0.875 -0.8125 C 1.21875 -0.765625 1.53125 -0.984375 1.53125 -1.359375 C 1.53125 -1.71875 1.265625 -1.921875 0.984375 -1.921875 C 0.734375 -1.921875 0.421875 -1.78125 0.421875 -1.34375 C 0.421875 -0.4375 1.34375 0.21875 2.4375 0.21875 C 3.65625 0.21875 4.5625 -0.6875 4.5625 -1.703125 C 4.5625 -2.515625 3.921875 -3.296875 2.890625 -3.515625 Z M 2.890625 -3.515625 "/>
<path id="d4" d="M 0.28125 -1.640625 L 2.9375 -1.640625 L 2.9375 -0.78125 C 2.9375 -0.421875 2.90625 -0.3125 2.171875 -0.3125 L 1.96875 -0.3125 L 1.96875 0 C 2.375 -0.03125 2.890625 -0.03125 3.3125 -0.03125 C 3.734375 -0.03125 4.25 -0.03125 4.671875 0 L 4.671875 -0.3125 L 4.453125 -0.3125 C 3.71875 -0.3125 3.703125 -0.421875 3.703125 -0.78125 L 3.703125 -1.640625 L 4.6875 -1.640625 L 4.6875 -1.953125 L 3.703125 -1.953125 L 3.703125 -6.484375 C 3.703125 -6.6875 3.703125 -6.75 3.53125 -6.75 C 3.453125 -6.75 3.421875 -6.75 3.34375 -6.625 L 0.28125 -1.953125 L 0.28125 -1.640625 Z M 2.984375 -1.953125 L 0.5625 -1.953125 L 2.984375 -5.671875 L 2.984375 -1.953125 Z M 2.984375 -1.953125 "/>
<path id="d5" d="M 4.46875 -2 C 4.46875 -3.1875 3.65625 -4.1875 2.578125 -4.1875 C 2.109375 -4.1875 1.671875 -4.03125 1.3125 -3.671875 L 1.3125 -5.625 C 1.515625 -5.5625 1.84375 -5.5 2.15625 -5.5 C 3.390625 -5.5 4.09375 -6.40625 4.09375 -6.53125 C 4.09375 -6.59375 4.0625 -6.640625 3.984375 -6.640625 C 3.984375 -6.640625 3.953125 -6.640625 3.90625 -6.609375 C 3.703125 -6.515625 3.21875 -6.3125 2.546875 -6.3125 C 2.15625 -6.3125 1.6875 -6.390625 1.21875 -6.59375 C 1.140625 -6.625 1.125 -6.625 1.109375 -6.625 C 1 -6.625 1 -6.546875 1 -6.390625 L 1 -3.4375 C 1 -3.265625 1 -3.1875 1.140625 -3.1875 C 1.21875 -3.1875 1.234375 -3.203125 1.28125 -3.265625 C 1.390625 -3.421875 1.75 -3.96875 2.5625 -3.96875 C 3.078125 -3.96875 3.328125 -3.515625 3.40625 -3.328125 C 3.5625 -2.953125 3.59375 -2.578125 3.59375 -2.078125 C 3.59375 -1.71875 3.59375 -1.125 3.34375 -0.703125 C 3.109375 -0.3125 2.734375 -0.0625 2.28125 -0.0625 C 1.5625 -0.0625 0.984375 -0.59375 0.8125 -1.171875 C 0.84375 -1.171875 0.875 -1.15625 0.984375 -1.15625 C 1.3125 -1.15625 1.484375 -1.40625 1.484375 -1.640625 C 1.484375 -1.890625 1.3125 -2.140625 0.984375 -2.140625 C 0.84375 -2.140625 0.5 -2.0625 0.5 -1.609375 C 0.5 -0.75 1.1875 0.21875 2.296875 0.21875 C 3.453125 0.21875 4.46875 -0.734375 4.46875 -2 Z M 4.46875 -2 "/>

<path id="dots" d="M 0 0 H5" />
<path id="tick-x" d="M 0 0 H6" />
<path id="tick-y" d="M 0 0 V-6" />

<g id="ticks-x">
<use xlink:href="#tick-x"/>
<use xlink:href="#tick-x" y="110" />
<use xlink:href="#tick-x" y="-110" />
</g>

<g id="ticks-y">
<use xlink:href="#tick-y" x="100" />
<use xlink:href="#tick-y" x="200" />
<use xlink:href="#tick-y" x="300" />
<use xlink:href="#tick-y" x="400" />
</g>

<style type="text/css">
.graph { stroke-linejoin:round; stroke-width:0.01; stroke:blue; fill:none }
.dots { stroke:black; stroke-width:0.006; stroke-dasharray:0.01 0.01 }
.text { stroke:none; fill:black;}
.tick { stroke:black; stroke-width:2; }
.frame{ stroke:black; stroke-width:0.01; fill:none }
</style>
</defs>

<!-- Background -->
<rect x="-50" y="-175" width="100%" height="100%" style="fill:white; fill-opacity:0.75" />

<!-- Scales for x-Axis -->
<g transform="translate(-7 190)" class="text">
	<use transform="scale(3)" xlink:href="#d0" />
	<use transform="translate(100) scale(3)" xlink:href="#d1"/>
	<use transform="translate(200) scale(3)" xlink:href="#d2"/>
	<use transform="translate(300) scale(3)" xlink:href="#d3"/>
	<use transform="translate(400) scale(3)" xlink:href="#d4"/>
	<use transform="translate(500) scale(3)" xlink:href="#d5"/>
</g>

<!-- Scales for y-Axis -->
<g transform="translate(-25 10)" class="text">
	<use transform="translate(-20  110) scale(3)" xlink:href="#minus"/>
	<use transform="translate(0    110) scale(3)" xlink:href="#d1"/>
	<use transform="scale(3)" xlink:href="#d0" />
	<use transform="translate(0 -110) scale(3)" xlink:href="#d1"/>
</g>

<g class="tick">
	<use xlink:href="#ticks-x" />
	<use xlink:href="#ticks-x" transform="translate(500 0) scale(-1)" />

	<use xlink:href="#ticks-y" transform="translate(0 154)" />
	<use xlink:href="#ticks-y" transform="translate(0 -154) scale(1 -1)" />
</g>

<g transform="scale(100 -110)">

	<!-- Indicators for y=-1, y=0, y=1 -->
	<g class="dots">
		<use xlink:href="#dots" y="-1"/>
		<use xlink:href="#dots" />
		<use xlink:href="#dots" y="1" />
	</g>
	<!-- Frame -->
	<path class="frame" d="M0 -1.4 H5 V1.4 H0 Z" />

	<!-- Graph -->
	<path class="graph" d="M 0,0 C 0.0096,0.006 0.1024,0.0644 0.3125,0.7242 C 0.3705,0.9064 0.4081,0.984 0.4419,0.9978 C 0.4791,1.013 0.5114,0.9466 0.5413,0.8196 C 0.5714,0.6912 0.599,0.501 0.625,0.2903 C 0.6511,0.0787 0.6755,-0.1531 0.6988,-0.3573 C 0.7222,-0.563 0.7443,-0.7391 0.7655,-0.8526 C 0.7868,-0.9667 0.8071,-1.0169 0.8268,-0.9948 C 0.8465,-0.9726 0.8655,-0.8779 0.8839,-0.7305 C 0.9023,-0.5828 0.9202,-0.383 0.9375,-0.171 C 0.9549,0.0413 0.9717,0.265 0.9882,0.4561 C 1.0047,0.6476 1.0208,0.8052 1.0364,0.899 C 1.0522,0.993 1.0675,1.0224 1.0825,0.9821 C 1.0976,0.9418 1.1123,0.832 1.1267,0.6744 C 1.1412,0.5165 1.1554,0.3116 1.1693,0.0996 C 1.1832,-0.1125 1.1969,-0.331 1.2103,-0.5138 C 1.2238,-0.6966 1.237,-0.8425 1.25,-0.9239 C 1.263,-1.0053 1.2758,-1.0216 1.2885,-0.9701 C 1.3011,-0.9185 1.3136,-0.7993 1.3258,-0.6355 C 1.3381,-0.4715 1.3502,-0.2638 1.3622,-0.0522 C 1.3741,0.1594 1.3859,0.3742 1.3975,0.551 C 1.4092,0.7279 1.4207,0.8658 1.4321,0.9387 C 1.4434,1.0117 1.4547,1.0193 1.4658,0.9603 C 1.4769,0.9012 1.4878,0.7758 1.4987,0.6081 C 1.5096,0.4402 1.5203,0.2308 1.5309,0.0198 C 1.5416,-0.1911 1.5521,-0.4032 1.5625,-0.5758 C 1.5729,-0.7485 1.5832,-0.8807 1.5934,-0.9479 C 1.6037,-1.0151 1.6138,-1.0168 1.6238,-0.9528 C 1.6338,-0.8888 1.6438,-0.7593 1.6536,-0.5891 C 1.6634,-0.4187 1.6732,-0.2082 1.6829,0.002 C 1.6925,0.2122 1.7021,0.4223 1.7116,0.5921 C 1.7211,0.7618 1.7306,0.8903 1.7399,0.9536 C 1.7493,1.017 1.7586,1.0147 1.7678,0.9475 C 1.777,0.8803 1.7861,0.7484 1.7952,0.5767 C 1.8043,0.4045 1.8133,0.1933 1.8222,-0.0159 C 1.8311,-0.2249 1.8399,-0.434 1.8488,-0.6022 C 1.8576,-0.7699 1.8663,-0.896 1.875,-0.9569 C 1.8837,-1.0179 1.8923,-1.0134 1.9009,-0.9443 C 1.9094,-0.8752 1.9179,-0.7419 1.9264,-0.5695 C 1.9348,-0.3981 1.9431,-0.1888 1.9516,0.0236 C 1.96,0.2367 1.9683,0.4422 1.9764,0.6074 C 1.9847,0.774 1.9928,0.8988 2.001,0.9585 C 2.0091,1.0183 2.0172,1.0127 2.0252,0.9428 C 2.0333,0.8729 2.0413,0.7392 2.0492,0.5666 C 2.0571,0.3942 2.065,0.184 2.0729,-0.0262 C 2.0808,-0.2365 2.0886,-0.443 2.0963,-0.6087 C 2.1041,-0.7749 2.1118,-0.8993 2.1195,-0.9588 C 2.1272,-1.0183 2.1348,-1.0126 2.1424,-0.9428 C 2.15,-0.873 2.1575,-0.7395 2.1651,-0.5672 C 2.1726,-0.3952 2.18,-0.1853 2.1875,0.0245 C 2.195,0.2345 2.2024,0.441 2.2097,0.6068 C 2.2171,0.7731 2.2244,0.8978 2.2317,0.9579 C 2.239,1.0179 2.2462,1.013 2.2535,0.9441 C 2.2607,0.8752 2.2679,0.7425 2.275,0.571 C 2.2822,0.3998 2.2893,0.1908 2.2964,-0.0193 C 2.3035,-0.2297 2.3106,-0.436 2.3176,-0.6022 C 2.3246,-0.769 2.3316,-0.8947 2.3385,-0.956 C 2.3455,-1.0173 2.3524,-1.0139 2.3593,-0.9464 C 2.3662,-0.8789 2.3731,-0.7478 2.3799,-0.5773 C 2.3868,-0.4062 2.3936,-0.1963 2.4004,0.011 C 2.4071,0.2182 2.4139,0.4266 2.4206,0.5951 C 2.4273,0.7629 2.434,0.8901 2.4407,0.9532 C 2.4474,1.0163 2.454,1.015 2.4606,0.9496 C 2.4672,0.8842 2.4738,0.7549 2.4804,0.5858 C 2.487,0.4166 2.4935,0.2083 2.5,0 C 2.5065,-0.2083 2.513,-0.4166 2.5195,-0.5858 C 2.5259,-0.7548 2.5324,-0.884 2.5388,-0.9495 C 2.5452,-1.0149 2.5516,-1.0163 2.5579,-0.9534 C 2.5643,-0.8905 2.5706,-0.7636 2.5769,-0.5963 C 2.5833,-0.4288 2.5896,-0.2217 2.5958,-0.0134 C 2.6021,0.1949 2.6083,0.4038 2.6146,0.5745 C 2.6208,0.7451 2.627,0.8766 2.6332,0.9449 C 2.6394,1.0131 2.6455,1.0177 2.6517,0.9578 C 2.6578,0.8979 2.6639,0.7737 2.67,0.6084 C 2.6761,0.443 2.6822,0.2371 2.6882,0.029 C 2.6943,-0.1792 2.7003,-0.3889 2.7063,-0.5613 C 2.7123,-0.7337 2.7183,-0.868 2.7243,-0.9394 C 2.7303,-1.0108 2.7362,-1.019 2.7422,-0.9625 C 2.7481,-0.9059 2.754,-0.785 2.7599,-0.6219 C 2.7658,-0.4588 2.7717,-0.2544 2.7776,-0.0465 C 2.7834,0.1615 2.7893,0.3721 2.7951,0.5464 C 2.8009,0.7208 2.8067,0.8581 2.8125,0.933 C 2.8183,1.0079 2.8241,1.0201 2.8298,0.9673 C 2.8356,0.9146 2.8413,0.7971 2.847,0.6366 C 2.8527,0.4761 2.8584,0.2733 2.8641,0.0657 C 2.8698,-0.1419 2.8755,-0.3535 2.8811,-0.5299 C 2.8868,-0.7064 2.8924,-0.8469 2.898,-0.9256 C 2.9036,-1.0044 2.9092,-1.0209 2.9148,-0.9723 C 2.9204,-0.9236 2.926,-0.81 2.9315,-0.6523 C 2.9371,-0.4946 2.9426,-0.2937 2.9481,-0.0865 C 2.9536,0.1207 2.9591,0.3332 2.9646,0.5119 C 2.9701,0.6906 2.9756,0.8345 2.9811,0.9173 C 2.9865,1.0001 2.992,1.0213 2.9974,0.9771 C 3.0028,0.9329 3.0082,0.8234 3.0136,0.6688 C 3.019,0.5142 3.0244,0.3153 3.0298,0.1087 C 3.0352,-0.098 3.0405,-0.3114 3.0459,-0.4924 C 3.0512,-0.6733 3.0565,-0.8209 3.0619,-0.908 C 3.0672,-0.9951 3.0725,-1.0213 3.0778,-0.9818 C 3.0831,-0.9423 3.0883,-0.8372 3.0936,-0.686 C 3.0989,-0.5348 3.1041,-0.3381 3.1093,-0.1322 C 3.1146,0.0738 3.1198,0.2881 3.125,0.4714 C 3.1302,0.6547 3.1354,0.806 3.1406,0.8976 C 3.1458,0.9892 3.1509,1.0206 3.1561,0.9861 C 3.1613,0.9516 3.1664,0.8514 3.1715,0.7038 C 3.1767,0.5562 3.1818,0.362 3.1869,0.1568 C 3.192,-0.0484 3.1971,-0.2635 3.2022,-0.4491 C 3.2073,-0.6347 3.2123,-0.7898 3.2174,-0.8861 C 3.2224,-0.9824 3.2275,-1.0193 3.2325,-0.99 C 3.2376,-0.9608 3.2426,-0.8656 3.2476,-0.7219 C 3.2526,-0.5782 3.2576,-0.3867 3.2626,-0.1825 C 3.2676,0.0217 3.2726,0.2375 3.2775,0.4254 C 3.2825,0.6134 3.2874,0.7724 3.2924,0.8735 C 3.2973,0.9746 3.3023,1.0172 3.3072,0.9935 C 3.3121,0.9697 3.317,0.8798 3.3219,0.7403 C 3.3268,0.6007 3.3317,0.4121 3.3366,0.2091 C 3.3415,0.0061 3.3463,-0.2103 3.3512,-0.4005 C 3.356,-0.5908 3.3609,-0.7538 3.3657,-0.8598 C 3.3706,-0.9658 3.3754,-1.0142 3.3802,-0.9962 C 3.385,-0.9783 3.3898,-0.8939 3.3946,-0.7588 C 3.3994,-0.6236 3.4042,-0.4382 3.409,-0.2366 C 3.4137,-0.0349 3.4185,0.182 3.4233,0.3744 C 3.428,0.5668 3.4328,0.7338 3.4375,0.8449 C 3.4422,0.9559 3.447,1.0103 3.4517,0.9983 C 3.4564,0.9863 3.4611,0.9078 3.4658,0.7773 C 3.4705,0.6467 3.4752,0.4648 3.4799,0.2647 C 3.4845,0.0646 3.4892,-0.1525 3.4939,-0.3471 C 3.4985,-0.5417 3.5032,-0.7126 3.5078,-0.8287 C 3.5124,-0.9448 3.5171,-1.0055 3.5217,-0.9996 C 3.5263,-0.9937 3.5309,-0.9213 3.5355,-0.7957 C 3.5401,-0.67 3.5447,-0.4918 3.5493,-0.2935 C 3.5539,-0.0952 3.5585,0.1221 3.563,0.3187 C 3.5676,0.5153 3.5722,0.6902 3.5767,0.8114 C 3.5813,0.9326 3.5858,0.9996 3.5904,1 C 3.5949,1.0004 3.5994,0.9344 3.6039,0.8139 C 3.6084,0.6934 3.613,0.5191 3.6174,0.3228 C 3.6219,0.1266 3.6264,-0.0907 3.6309,-0.2891 C 3.6354,-0.4877 3.6399,-0.6664 3.6443,-0.7928 C 3.6488,-0.9192 3.6533,-0.9925 3.6577,-0.9994 C 3.6622,-1.0064 3.6666,-0.9468 3.671,-0.8318 C 3.6755,-0.7167 3.6799,-0.5466 3.6843,-0.3526 C 3.6887,-0.1586 3.6931,0.0584 3.6975,0.2586 C 3.702,0.4589 3.7063,0.6414 3.7107,0.7729 C 3.7151,0.9045 3.7195,0.9843 3.7239,0.9979 C 3.7282,1.0114 3.7326,0.9587 3.737,0.8492 C 3.7413,0.7398 3.7457,0.5742 3.75,0.3827 C 3.7543,0.1912 3.7587,-0.0252 3.763,-0.2271 C 3.7673,-0.4289 3.7716,-0.6152 3.776,-0.7518 C 3.7803,-0.8885 3.7846,-0.9748 3.7889,-0.9952 C 3.7932,-1.0155 3.7974,-0.9697 3.8017,-0.8661 C 3.806,-0.7626 3.8103,-0.6017 3.8145,-0.413 C 3.8188,-0.2243 3.8231,-0.0086 3.8273,0.1946 C 3.8316,0.3979 3.8358,0.5877 3.8401,0.7294 C 3.8443,0.8711 3.8485,0.9641 3.8528,0.9913 C 3.857,1.0186 3.8612,0.9799 3.8654,0.8824 C 3.8696,0.785 3.8738,0.6292 3.878,0.4435 C 3.8822,0.2578 3.8864,0.0432 3.8906,-0.1613 C 3.8948,-0.3657 3.899,-0.559 3.9031,-0.7057 C 3.9073,-0.8525 3.9115,-0.9521 3.9156,-0.9863 C 3.9198,-1.0205 3.9239,-0.9892 3.9281,-0.898 C 3.9322,-0.8069 3.9363,-0.6564 3.9405,-0.4741 C 3.9446,-0.2917 3.9487,-0.0783 3.9528,0.1271 C 3.957,0.3326 3.9611,0.5291 3.9652,0.6808 C 3.9693,0.8325 3.9734,0.9386 3.9775,0.9799 C 3.9816,1.0212 3.9857,0.9974 3.9897,0.9128 C 3.9938,0.8283 3.9979,0.6834 4.002,0.5046 C 4.006,0.3258 4.0101,0.114 4.0141,-0.0922 C 4.0182,-0.2984 4.0222,-0.498 4.0263,-0.6545 C 4.0303,-0.8111 4.0344,-0.9239 4.0384,-0.9723 C 4.0424,-1.0207 4.0464,-1.0045 4.0505,-0.9267 C 4.0545,-0.849 4.0585,-0.7099 4.0625,-0.535 C 4.0665,-0.3601 4.0705,-0.1501 4.0745,0.0566 C 4.0785,0.2633 4.0825,0.4658 4.0865,0.627 C 4.0905,0.7883 4.0944,0.9076 4.0984,0.9632 C 4.1024,1.0189 4.1063,1.0105 4.1103,0.9397 C 4.1143,0.8689 4.1182,0.7359 4.1222,0.5652 C 4.1261,0.3944 4.13,0.1867 4.134,-0.0204 C 4.1379,-0.2274 4.1419,-0.4325 4.1458,-0.5983 C 4.1497,-0.7642 4.1536,-0.89 4.1575,-0.9528 C 4.1615,-1.0156 4.1654,-1.0152 4.1693,-0.9516 C 4.1732,-0.8879 4.1771,-0.7614 4.181,-0.5951 C 4.1849,-0.4287 4.1887,-0.2233 4.1926,-0.0164 C 4.1965,0.1905 4.2004,0.398 4.2043,0.5683 C 4.2081,0.7386 4.212,0.8709 4.2159,0.9409 C 4.2197,1.011 4.2236,1.0186 4.2274,0.9623 C 4.2313,0.906 4.2351,0.7861 4.239,0.6245 C 4.2428,0.4629 4.2466,0.2603 4.2505,0.0537 C 4.2543,-0.1529 4.2581,-0.3626 4.2619,-0.5372 C 4.2658,-0.7117 4.2696,-0.8503 4.2734,-0.9276 C 4.2772,-1.0049 4.281,-1.0206 4.2848,-0.9718 C 4.2886,-0.9231 4.2924,-0.8101 4.2962,-0.6535 C 4.3,-0.4969 4.3037,-0.2974 4.3075,-0.0914 C 4.3113,0.1147 4.3151,0.3263 4.3188,0.5049 C 4.3226,0.6835 4.3264,0.8282 4.3301,0.9127 C 4.3339,0.9973 4.3376,1.0212 4.3414,0.9801 C 4.3451,0.9391 4.3489,0.8332 4.3526,0.6819 C 4.3564,0.5306 4.3601,0.3345 4.3638,0.1294 C 4.3676,-0.0758 4.3713,-0.289 4.375,-0.4714 C 4.3787,-0.6538 4.3824,-0.8046 4.3861,-0.8964 C 4.3899,-0.9881 4.3936,-1.0202 4.3973,-0.987 C 4.401,-0.9538 4.4047,-0.8554 4.4084,-0.7096 C 4.412,-0.5639 4.4157,-0.3715 4.4194,-0.1676 C 4.4231,0.0363 4.4268,0.2508 4.4305,0.4368 C 4.4341,0.6229 4.4378,0.7796 4.4415,0.8784 C 4.4451,0.9773 4.4488,1.0178 4.4524,0.9925 C 4.4561,0.9673 4.4597,0.8765 4.4634,0.7366 C 4.467,0.5967 4.4707,0.4085 4.4743,0.2061 C 4.478,0.0037 4.4816,-0.2118 4.4852,-0.4012 C 4.4888,-0.5907 4.4925,-0.7531 4.4961,-0.859 C 4.4997,-0.9649 4.5033,-1.0137 4.5069,-0.9966 C 4.5106,-0.9794 4.5142,-0.8965 4.5178,-0.7627 C 4.5214,-0.629 4.525,-0.4451 4.5286,-0.2446 C 4.5321,-0.0441 4.5357,0.1721 4.5393,0.3646 C 4.5429,0.5572 4.5465,0.7251 4.5501,0.838 C 4.5536,0.9508 4.5572,1.008 4.5608,0.9991 C 4.5644,0.9902 4.5679,0.9152 4.5715,0.7879 C 4.575,0.6606 4.5786,0.4814 4.5821,0.2832 C 4.5857,0.0849 4.5892,-0.1317 4.5928,-0.3271 C 4.5963,-0.5225 4.5999,-0.6957 4.6034,-0.8154 C 4.6069,-0.9351 4.6105,-1.0006 4.614,-1 C 4.6175,-0.9994 4.6211,-0.9327 4.6246,-0.812 C 4.6281,-0.6914 4.6316,-0.5174 4.6351,-0.3216 C 4.6386,-0.1259 4.6421,0.0907 4.6456,0.2886 C 4.6492,0.4866 4.6526,0.6649 4.6561,0.7913 C 4.6596,0.9177 4.6631,0.9915 4.6666,0.9993 C 4.6701,1.0071 4.6736,0.9488 4.6771,0.8351 C 4.6806,0.7214 4.684,0.5527 4.6875,0.3599 C 4.691,0.167 4.6944,-0.0491 4.6979,-0.2493 C 4.7014,-0.4495 4.7048,-0.6327 4.7083,-0.7657 C 4.7117,-0.8986 4.7152,-0.9807 4.7186,-0.9969 C 4.7221,-1.0131 4.7255,-0.9635 4.729,-0.8569 C 4.7324,-0.7504 4.7359,-0.5875 4.7393,-0.3979 C 4.7427,-0.2083 4.7462,0.0072 4.7496,0.2093 C 4.753,0.4114 4.7564,0.5992 4.7599,0.7385 C 4.7633,0.8779 4.7667,0.9681 4.7701,0.9928 C 4.7735,1.0175 4.7769,0.9766 4.7803,0.8775 C 4.7837,0.7784 4.7871,0.6216 4.7905,0.4356 C 4.7939,0.2495 4.7973,0.0352 4.8007,-0.1685 C 4.8041,-0.3722 4.8075,-0.5643 4.8109,-0.7099 C 4.8143,-0.8554 4.8176,-0.9537 4.821,-0.987 C 4.8244,-1.0202 4.8278,-0.9882 4.8311,-0.8968 C 4.8345,-0.8053 4.8379,-0.6549 4.8412,-0.4728 C 4.8446,-0.2907 4.8479,-0.0778 4.8513,0.1271 C 4.8547,0.3321 4.858,0.5282 4.8614,0.6797 C 4.8647,0.8313 4.8681,0.9376 4.8714,0.9794 C 4.8747,1.0211 4.8781,0.9981 4.8814,0.9146 C 4.8847,0.831 4.8881,0.6873 4.8914,0.5095 C 4.8947,0.3317 4.8981,0.1207 4.9014,-0.0852 C 4.9047,-0.2911 4.908,-0.4908 4.9113,-0.6481 C 4.9146,-0.8055 4.9179,-0.9197 4.9213,-0.9699 C 4.9246,-1.0202 4.9279,-1.0064 4.9312,-0.9309 C 4.9345,-0.8554 4.9378,-0.7187 4.9411,-0.5455 C 4.9444,-0.3724 4.9476,-0.1636 4.9509,0.0428 C 4.9542,0.2492 4.9575,0.4523 4.9608,0.6152 C 4.9641,0.778 4.9673,0.8999 4.9706,0.9587 C 4.9739,1.0175 4.9772,1.0128 4.9804,0.9456 C 4.9837,0.8784 4.987,0.749 4.9902,0.5808 C 4.9935,0.4126 4.9967,0.2063 5,0" />

</g>
</svg>