@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_AMS-Regular.a79f1c31.woff2) format("woff2"),url(/_next/static/media/KaTeX_AMS-Regular.1608a09b.woff) format("woff"),url(/_next/static/media/KaTeX_AMS-Regular.4aafdb68.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Caligraphic-Bold.ec17d132.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Bold.b6770918.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Bold.cce5b8ec.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Caligraphic-Regular.55fac258.woff2) format("woff2"),url(/_next/static/media/KaTeX_Caligraphic-Regular.dad44a7f.woff) format("woff"),url(/_next/static/media/KaTeX_Caligraphic-Regular.07ef19e7.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Fraktur-Bold.d42a5579.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Bold.9f256b85.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Bold.b18f59e1.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Fraktur-Regular.d3c882a6.woff2) format("woff2"),url(/_next/static/media/KaTeX_Fraktur-Regular.7c187121.woff) format("woff"),url(/_next/static/media/KaTeX_Fraktur-Regular.ed38e79f.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_Main-Bold.c3fb5ac2.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Bold.d181c465.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Bold.b74a1a8b.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Main-BoldItalic.6f2bb1df.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-BoldItalic.e3f82f9d.woff) format("woff"),url(/_next/static/media/KaTeX_Main-BoldItalic.70d8b0a5.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Italic.8916142b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Italic.9024d815.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Italic.47373d1e.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Main-Regular.0462f03b.woff2) format("woff2"),url(/_next/static/media/KaTeX_Main-Regular.7f51fe03.woff) format("woff"),url(/_next/static/media/KaTeX_Main-Regular.b7f8fe9b.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_next/static/media/KaTeX_Math-BoldItalic.572d331f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-BoldItalic.f1035d8d.woff) format("woff"),url(/_next/static/media/KaTeX_Math-BoldItalic.a879cf83.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_Math-Italic.f28c23ac.woff2) format("woff2"),url(/_next/static/media/KaTeX_Math-Italic.5295ba48.woff) format("woff"),url(/_next/static/media/KaTeX_Math-Italic.939bc644.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:700;src:url(/_next/static/media/KaTeX_SansSerif-Bold.8c5b5494.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Bold.bf59d231.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Bold.94e1e8dc.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:italic;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Italic.3b1e59b3.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Italic.7c9bc82b.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Italic.b4c20c84.ttf) format("truetype")}@font-face{font-display:block;font-family:"KaTeX_SansSerif";font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_SansSerif-Regular.ba21ed5f.woff2) format("woff2"),url(/_next/static/media/KaTeX_SansSerif-Regular.74048478.woff) format("woff"),url(/_next/static/media/KaTeX_SansSerif-Regular.d4d7ba48.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Script-Regular.03e9641d.woff2) format("woff2"),url(/_next/static/media/KaTeX_Script-Regular.07505710.woff) format("woff"),url(/_next/static/media/KaTeX_Script-Regular.fe9cbbe1.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size1-Regular.eae34984.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size1-Regular.e1e279cb.woff) format("woff"),url(/_next/static/media/KaTeX_Size1-Regular.fabc004a.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size2-Regular.5916a24f.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size2-Regular.57727022.woff) format("woff"),url(/_next/static/media/KaTeX_Size2-Regular.d6b476ec.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size3-Regular.b4230e7e.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size3-Regular.9acaf01c.woff) format("woff"),url(/_next/static/media/KaTeX_Size3-Regular.a144ef58.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Size4-Regular.10d95fd3.woff2) format("woff2"),url(/_next/static/media/KaTeX_Size4-Regular.7a996c9d.woff) format("woff"),url(/_next/static/media/KaTeX_Size4-Regular.fbccdabe.ttf) format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_next/static/media/KaTeX_Typewriter-Regular.a8709e36.woff2) format("woff2"),url(/_next/static/media/KaTeX_Typewriter-Regular.6258592b.woff) format("woff"),url(/_next/static/media/KaTeX_Typewriter-Regular.d97aaf4a.ttf) format("truetype")}.katex{font:normal 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;position:relative;text-indent:0;text-rendering:auto}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.17.0"}.katex .katex-mathml{border:0;-webkit-clip-path:inset(50%);clip-path:inset(50%);height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .smash{display:inline;line-height:0}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.1666666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.6666666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.4566666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.1466666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.7142857143em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.8571428571em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.1428571429em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.2857142857em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.4285714286em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.7142857143em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.0571428571em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.4685714286em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.9628571429em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.5542857143em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.7777777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.8888888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.1111111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.3333333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.3044444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.7644444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.5833333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.6666666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.7283333333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.0733333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.4166666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.4861111111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.5555555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.4402777778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.7277777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.2893518519em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.3472222222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.4050925926em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.462962963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.5208333333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.6944444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.8333333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.2002314815em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.4398148148em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.2410800386em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.2892960463em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.337512054em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.3857280617em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.4339440694em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.4821600771em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.5785920926em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.6943105111em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.8331726133em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.1996142719em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.2009646302em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.2411575563em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.2813504823em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.3215434084em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.3617363344em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.4019292605em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.4823151125em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.578778135em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.6945337621em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.8336012862em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}:root{--apx-ink:#f2eee4;--apx-copy:#d8d9ce;--apx-muted:#a9b5ad;--apx-dim:#718079;--apx-bg:#060907;--apx-panel:rgba(10,16,13,0.88);--apx-panel-strong:#101813;--apx-line:rgba(216,217,206,0.14);--apx-line-strong:rgba(228,182,109,0.46);--apx-mint:#52d9bd;--apx-mint-bright:#b9f5e7;--apx-moss:#8fb79b;--apx-sky:#9cc8d3;--apx-violet:#a98bc0;--apx-warm:#e4b66d;--apx-danger:#d68c80;--apx-radius-sm:10px;--apx-radius:18px;--apx-radius-lg:30px;--apx-shadow:0 30px 90px rgba(0,0,0,0.35);--apx-sans:Inter,ui-sans-serif,system-ui,-apple-system,BlinkMacSystemFont,"Segoe UI",sans-serif;--apx-display:"Iowan Old Style",Baskerville,"Times New Roman",serif;--apx-mono:"SFMono-Regular",Consolas,"Liberation Mono",monospace}*{box-sizing:border-box}html{scroll-behavior:smooth}body{margin:0;background:var(--apx-bg);color:var(--apx-ink);font-family:var(--apx-sans);-webkit-font-smoothing:antialiased;text-rendering:optimizeLegibility}button,input,select,textarea{font:inherit}:focus-visible{outline:3px solid rgba(108,231,207,.72);outline-offset:3px}.apx-skip-link{position:fixed;top:12px;left:12px;z-index:1000;transform:translateY(-160%);border-radius:999px;background:var(--apx-mint-bright);color:#04100d;padding:10px 16px;font-weight:750;text-decoration:none}.apx-skip-link:focus{transform:translateY(0)}.apx-shell{min-height:100vh;display:flex;flex-direction:column;background:radial-gradient(circle at 78% 8%,rgba(82,196,175,.08),transparent 27rem),radial-gradient(circle at 12% 48%,rgba(98,143,255,.05),transparent 32rem),var(--apx-bg)}.apx-shell>header{position:-webkit-sticky;position:sticky;top:0;z-index:50}.apx-nav{display:grid;grid-template-columns:minmax(140px,160px) minmax(0,1fr) minmax(140px,160px);align-items:center;min-height:68px;grid-gap:28px;gap:28px;padding:10px clamp(18px,4vw,56px);border-bottom:1px solid var(--apx-line);background:rgba(6,9,7,.9);-webkit-backdrop-filter:blur(18px) saturate(135%);backdrop-filter:blur(18px) saturate(135%)}.apx-brand{display:inline-flex;align-items:center;gap:11px;color:var(--apx-ink);text-decoration:none;font-size:1rem;font-weight:760;letter-spacing:.19em}.apx-brand-mark{position:relative;width:28px;height:28px;border:1px solid var(--apx-line-strong);border-radius:50%;box-shadow:inset 0 0 18px rgba(108,231,207,.12)}.apx-brand-mark:after,.apx-brand-mark:before{content:"";position:absolute;inset:6px;border:1px solid var(--apx-mint);transform:rotate(45deg)}.apx-brand-mark:after{inset:10px;background:var(--apx-mint-bright);border:0;border-radius:50%;box-shadow:0 0 14px var(--apx-mint)}.apx-nav-actions,.apx-nav-links{display:flex;align-items:center;gap:8px}.apx-nav-links{justify-content:center}.apx-nav-actions{justify-content:flex-end}.apx-nav-action,.apx-nav-link{min-height:42px;display:inline-flex;align-items:center;justify-content:center;border-radius:999px;color:var(--apx-copy);padding:0 14px;font-size:1rem;font-weight:620;text-decoration:none;white-space:nowrap;transition:color .16s ease,background .16s ease,border-color .16s ease,transform .16s ease}.apx-nav-link:hover,.apx-nav-link[data-active=true]{color:var(--apx-mint-bright);background:rgba(108,231,207,.08)}.apx-nav-link--support{border:1px solid rgba(228,182,109,.48);background:rgba(228,182,109,.08);color:var(--apx-warm)}.apx-nav-link--support:hover,.apx-nav-link--support[data-active=true]{border-color:var(--apx-warm);background:var(--apx-warm);color:#171006}.apx-nav-action{border:1px solid var(--apx-line)}.apx-nav-action--primary{border-color:rgba(108,231,207,.46);background:rgba(108,231,207,.1);color:var(--apx-mint-bright)}.apx-nav-action:hover{transform:translateY(-1px);border-color:var(--apx-line-strong)}.apx-mobile-menu{display:none}.apx-mobile-menu summary{min-height:44px;display:inline-flex;align-items:center;justify-content:center;border:1px solid var(--apx-line);border-radius:999px;color:var(--apx-copy);padding:0 14px;cursor:pointer;font-size:.8rem;font-weight:680;list-style:none}.apx-mobile-menu summary::-webkit-details-marker{display:none}.apx-mobile-menu[open] summary{border-color:var(--apx-line-strong);color:var(--apx-mint-bright)}.apx-mobile-menu-panel{position:absolute;top:calc(100% + 1px);right:12px;left:12px;display:grid;overflow:hidden;border:1px solid var(--apx-line-strong);border-radius:var(--apx-radius);background:rgba(7,12,11,.98);box-shadow:var(--apx-shadow);padding:8px}.apx-mobile-menu-link{min-height:48px;display:flex;align-items:center;border-radius:var(--apx-radius-sm);color:var(--apx-copy);padding:0 14px;text-decoration:none}.apx-mobile-menu-link:focus-visible,.apx-mobile-menu-link:hover{background:rgba(108,231,207,.08);color:var(--apx-mint-bright)}.apx-main{flex:1 1;min-width:0}.apx-footer{padding:38px clamp(18px,4vw,56px) 44px;border-top:1px solid var(--apx-line)}.apx-footer-inner{width:min(1180px,100%);margin:0 auto;display:grid;grid-template-columns:minmax(220px,1.25fr) minmax(190px,.8fr) minmax(150px,.62fr) minmax(210px,.82fr);grid-gap:34px;gap:34px}.apx-footer-copy{max-width:420px;color:var(--apx-muted);font-size:1rem;line-height:1.65}.apx-footer-title{margin:0 0 12px;color:var(--apx-copy);font-size:1rem;letter-spacing:.1em;text-transform:uppercase}.apx-footer-links{display:grid;grid-gap:9px;gap:9px}.apx-footer-link{color:var(--apx-muted);font-size:1rem;text-decoration:none}.apx-footer-link:hover{color:var(--apx-mint-bright)}.apx-footer-support{align-self:start;border:1px solid rgba(228,182,109,.3);border-radius:var(--apx-radius-sm);background:rgba(228,182,109,.055);padding:18px}.apx-footer-support-copy{margin:0 0 14px;color:var(--apx-muted);font-size:.94rem;line-height:1.55}.apx-footer-support .apx-footer-link{color:var(--apx-warm);font-weight:680}.apx-footer-support .apx-footer-link:hover{color:var(--apx-ink)}.apx-footer-bottom{width:min(1180px,100%);margin:30px auto 0;padding-top:20px;border-top:1px solid var(--apx-line);display:flex;justify-content:space-between;gap:18px;flex-wrap:wrap;color:var(--apx-dim);font-family:var(--apx-mono);font-size:1rem}.apx-home{position:relative;isolation:isolate;overflow:clip;background:radial-gradient(circle at 78% 12%,rgba(228,182,109,.12),transparent 28rem),radial-gradient(circle at 18% 36%,rgba(82,217,189,.07),transparent 34rem),var(--apx-bg)}.apx-home:before{content:"";position:absolute;z-index:-1;inset:0;pointer-events:none;background:linear-gradient(rgba(242,238,228,.018) 1px,transparent 0),linear-gradient(90deg,rgba(242,238,228,.018) 1px,transparent 0);background-size:80px 80px;-webkit-mask-image:linear-gradient(180deg,#000 0,transparent 58%);mask-image:linear-gradient(180deg,#000 0,transparent 58%)}.apx-hero,.apx-section{width:min(1200px,calc(100% - clamp(36px, 8vw, 96px)));margin:0 auto}.apx-hero{min-height:calc(100svh - 68px);display:grid;grid-template-columns:minmax(0,7fr) minmax(360px,5fr);align-items:center;grid-gap:clamp(48px,5vw,72px);gap:clamp(48px,5vw,72px);padding:clamp(72px,9vw,112px) 0}.apx-hero-content{max-width:720px}.apx-eyebrow,.apx-kicker{display:inline-flex;align-items:center;gap:9px;margin:0 0 22px;color:var(--apx-mint);font-family:var(--apx-mono);font-size:.875rem;font-weight:700;letter-spacing:.13em;text-transform:uppercase}.apx-home .apx-eyebrow,.apx-home .apx-kicker{font-size:1rem}.apx-hero h1{max-width:760px;margin:0;color:var(--apx-ink);font-family:var(--apx-display);font-size:clamp(3.25rem,6vw,5.7rem);line-height:.98;letter-spacing:-.048em;font-weight:600}.apx-gradient-word{color:transparent;background:linear-gradient(110deg,var(--apx-warm),#d9c99f 48%,var(--apx-moss));background-clip:text;-webkit-background-clip:text}.apx-hero-copy{max-width:60ch;margin:28px 0 0;color:var(--apx-copy);font-size:clamp(1.125rem,1.5vw,1.25rem);line-height:1.68}.apx-actions{display:flex;align-items:center;flex-wrap:wrap;gap:12px;margin-top:34px}.apx-button{min-height:50px;display:inline-flex;align-items:center;justify-content:center;gap:10px;border:1px solid var(--apx-line);border-radius:999px;background:rgba(13,21,19,.72);color:var(--apx-ink);padding:0 22px;font-size:1rem;font-weight:700;text-decoration:none;cursor:pointer;transition:transform .16s ease,border-color .16s ease,background .16s ease}.apx-button:hover{transform:translateY(-2px);border-color:var(--apx-line-strong)}.apx-button--primary{border-color:rgba(228,182,109,.74);background:var(--apx-warm);color:#171006}.apx-button--danger{color:var(--apx-danger);border-color:rgba(255,143,155,.28)}.apx-button[disabled]{cursor:not-allowed;opacity:.48;transform:none}.apx-presence-card{position:relative;min-height:520px;display:flex;flex-direction:column;justify-content:space-between;gap:28px;border:1px solid var(--apx-line);border-radius:var(--apx-radius-lg);background:linear-gradient(145deg,rgba(16,24,19,.96),rgba(7,11,9,.94));box-shadow:var(--apx-shadow);color:var(--apx-ink);padding:clamp(28px,4vw,40px);text-decoration:none;overflow:hidden;transition:transform .18s ease,border-color .18s ease,background .18s ease}.apx-presence-card:before{content:"";position:absolute;width:420px;height:420px;top:-210px;right:-160px;border-radius:50%;background:radial-gradient(circle,rgba(228,182,109,.16),transparent 68%);pointer-events:none}.apx-presence-card:hover{transform:translateY(-3px);border-color:var(--apx-line-strong);background:linear-gradient(145deg,rgba(20,29,23,.98),rgba(8,13,10,.96))}.apx-presence-field{position:relative;z-index:1;height:218px}.apx-presence-core,.apx-presence-orbit{position:absolute;top:50%;left:50%}.apx-presence-orbit{border:1px solid rgba(228,182,109,.58);border-radius:50%}.apx-presence-orbit--outer{width:224px;height:152px;transform:translate(-50%,-50%) rotate(-13deg);box-shadow:0 0 52px rgba(228,182,109,.07)}.apx-presence-orbit--outer:before{content:"";position:absolute;top:16px;right:24px;width:9px;height:9px;border-radius:50%;background:var(--apx-warm);box-shadow:0 0 18px rgba(228,182,109,.62)}.apx-presence-orbit--inner{width:116px;height:116px;border-color:rgba(82,217,189,.46);transform:translate(-50%,-50%) rotate(25deg)}.apx-presence-core{width:22px;height:22px;border:5px solid rgba(82,217,189,.2);border-radius:50%;background:var(--apx-mint);box-shadow:0 0 36px rgba(82,217,189,.42);transform:translate(-50%,-50%)}.apx-presence-copy{position:relative;z-index:1}.apx-presence-label{margin:0 0 12px;color:var(--apx-warm);font-family:var(--apx-mono);font-size:1rem;font-weight:700;letter-spacing:.12em;text-transform:uppercase}.apx-presence-copy h2{margin:0;font-family:var(--apx-display);font-size:clamp(2rem,3vw,2.75rem);font-weight:600;letter-spacing:-.035em;line-height:1.05}.apx-presence-copy>p:not(.apx-presence-label){margin:16px 0 0;color:var(--apx-copy);font-size:1rem;line-height:1.65}.apx-presence-link{display:inline-flex;gap:8px;margin-top:24px;color:var(--apx-warm);font-size:1rem;font-weight:750}.apx-section{padding:clamp(76px,10vw,132px) 0}.apx-section+.apx-section{border-top:1px solid var(--apx-line)}.apx-section--compact{padding-block:clamp(64px,8vw,96px)}.apx-section-head{display:grid;grid-template-columns:minmax(0,5fr) minmax(300px,7fr);grid-gap:clamp(32px,5vw,64px);gap:clamp(32px,5vw,64px);align-items:end;margin-bottom:44px}.apx-section h2{max-width:14ch;margin:0;font-family:var(--apx-display);font-size:clamp(2.5rem,5vw,4.75rem);font-weight:600;line-height:1;letter-spacing:-.045em}.apx-section-intro{max-width:62ch;margin:0;color:var(--apx-copy);font-size:1.125rem;line-height:1.7}.apx-section--support{padding-block:clamp(58px,7vw,88px)}.apx-support-band{display:grid;grid-template-columns:minmax(0,1.05fr) minmax(360px,.95fr);grid-gap:clamp(34px,6vw,72px);gap:clamp(34px,6vw,72px);align-items:center;border:1px solid rgba(228,182,109,.35);border-radius:var(--apx-radius-lg);background:radial-gradient(circle at 12% 18%,rgba(228,182,109,.12),transparent 24rem),rgba(12,18,14,.88);box-shadow:0 24px 70px rgba(0,0,0,.22);padding:clamp(28px,5vw,56px)}.apx-support-copy{max-width:62ch;margin:22px 0 0;color:var(--apx-copy);font-size:1.05rem;line-height:1.72}.apx-support-details{display:inline-flex;gap:8px;margin-top:22px;color:var(--apx-warm);font-size:1rem;font-weight:720;text-decoration:none}.apx-support-details:hover{color:var(--apx-ink)}.apx-support-options{display:grid;grid-gap:12px;gap:12px}.apx-support-option{min-height:118px;display:flex;align-items:center;justify-content:space-between;gap:24px;border:1px solid var(--apx-line);border-radius:var(--apx-radius);background:rgba(6,9,7,.7);color:var(--apx-ink);padding:22px;text-decoration:none;transition:transform .16s ease,border-color .16s ease,background .16s ease}.apx-support-option:hover{transform:translateY(-2px);border-color:var(--apx-line-strong);background:rgba(22,26,18,.94)}.apx-support-option strong{display:block;font-size:1.18rem}.apx-support-option small{display:block;max-width:34ch;margin-top:8px;color:var(--apx-muted);font-size:.9rem;line-height:1.5}.apx-support-option-action{flex:0 0 auto;color:var(--apx-warm);font-size:.9rem;font-weight:720;text-align:right}.apx-door-grid{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));grid-gap:16px;gap:16px}.apx-door-card{min-height:340px;display:grid;grid-template-rows:auto 1fr auto;grid-gap:30px;gap:30px;border:1px solid var(--apx-line);border-radius:var(--apx-radius);background:rgba(12,19,15,.88);color:var(--apx-ink);padding:clamp(24px,3vw,32px);text-decoration:none;transition:transform .18s ease,border-color .18s ease,background .18s ease}.apx-door-card:hover{transform:translateY(-4px);border-color:var(--door-accent,var(--apx-line-strong));background:rgba(17,27,21,.96)}.apx-door-card--gold{--door-accent:var(--apx-warm)}.apx-door-card--moss{--door-accent:var(--apx-moss)}.apx-door-card--violet{--door-accent:var(--apx-violet)}.apx-door-card-top{display:flex;align-items:flex-start;justify-content:space-between;gap:20px;color:var(--door-accent)}.apx-door-kind{color:var(--apx-muted);font-family:var(--apx-mono);font-size:1rem;font-weight:700;letter-spacing:.08em;text-transform:uppercase}.apx-door-glyph{position:relative;width:56px;height:56px;flex:0 0 56px;border:1px solid;border-radius:50%}.apx-door-glyph:after,.apx-door-glyph:before{content:"";position:absolute;top:50%;left:50%}.apx-door-glyph--apocrypha:before{width:30px;height:18px;border:1px solid;border-radius:50%;transform:translate(-50%,-50%) rotate(-18deg)}.apx-door-glyph--apocrypha:after{width:8px;height:8px;border-radius:50%;background:currentColor;transform:translate(-50%,-50%);box-shadow:0 0 14px currentColor}.apx-door-glyph--atlas{border-radius:14px}.apx-door-glyph--atlas:before{width:26px;height:26px;border:1px solid;transform:translate(-50%,-50%) rotate(45deg)}.apx-door-glyph--atlas:after{width:6px;height:6px;border-radius:50%;background:currentColor;transform:translate(-50%,-50%)}.apx-door-glyph--clearing:before{width:32px;height:32px;border:1px solid;border-top:1px solid transparent;border-radius:50%;transform:translate(-50%,-50%) rotate(35deg)}.apx-door-glyph--clearing:after{width:18px;height:9px;border-bottom:2px solid;border-radius:0 0 18px 18px;transform:translate(-50%,-55%)}.apx-door-card h3{margin:0;font-family:var(--apx-display);font-size:clamp(2rem,3vw,2.75rem);font-weight:600;letter-spacing:-.035em}.apx-door-card p{margin:14px 0 0;color:var(--apx-copy);font-size:1rem;line-height:1.68}.apx-door-link{color:var(--door-accent);font-size:1rem;font-weight:750}.apx-project-list{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));grid-gap:14px;gap:14px}.apx-project-link{min-height:142px;display:flex;align-items:center;justify-content:space-between;gap:28px;border:1px solid var(--apx-line);border-radius:var(--apx-radius);background:var(--apx-panel);color:var(--apx-ink);padding:24px;text-decoration:none;transition:border-color .16s ease,background .16s ease}.apx-project-link:hover{border-color:var(--apx-line-strong);background:rgba(17,27,21,.94)}.apx-project-link strong{display:block;font-family:var(--apx-display);font-size:1.5rem;font-weight:600}.apx-project-link small{display:block;max-width:34ch;margin-top:8px;color:var(--apx-muted);font-size:1rem;line-height:1.5}.apx-project-action{max-width:18ch;flex:0 0 auto;color:var(--apx-moss);font-size:1rem;font-weight:700;text-align:right}.apx-trust-panel{display:grid;grid-template-columns:minmax(0,5fr) minmax(360px,7fr);grid-gap:clamp(36px,6vw,80px);gap:clamp(36px,6vw,80px);border:1px solid var(--apx-line);border-radius:var(--apx-radius-lg);background:radial-gradient(circle at 6% 0,rgba(228,182,109,.08),transparent 24rem),var(--apx-panel);padding:clamp(28px,5vw,56px)}.apx-trust-intro h2{max-width:12ch;font-size:clamp(2.25rem,4vw,3.8rem)}.apx-trust-intro>p:last-child{margin:22px 0 0;color:var(--apx-copy);font-size:1rem;line-height:1.68}.apx-trust-list{display:grid;align-content:center}.apx-trust-list>div{border-top:1px solid var(--apx-line);padding:20px 0}.apx-trust-list>div:last-child{border-bottom:1px solid var(--apx-line)}.apx-trust-list strong{display:block;color:var(--apx-ink);font-size:1rem}.apx-trust-list span{display:block;margin-top:7px;color:var(--apx-muted);font-size:1rem;line-height:1.55}.apx-home .apx-auth-message{font-size:1rem}.apx-auth-page{min-height:100svh;display:grid;grid-template-columns:minmax(320px,.86fr) minmax(430px,1.14fr);background:radial-gradient(circle at 16% 15%,rgba(108,231,207,.13),transparent 27rem),radial-gradient(circle at 90% 90%,rgba(141,220,255,.07),transparent 30rem),var(--apx-bg)}.apx-auth-story{min-height:100svh;display:flex;flex-direction:column;justify-content:space-between;border-right:1px solid var(--apx-line);padding:clamp(28px,5vw,70px)}.apx-auth-story-main{margin:auto 0;padding:72px 0}.apx-auth-story h1{max-width:640px;margin:0;font-size:clamp(2.7rem,5.5vw,5.6rem);line-height:.96;letter-spacing:-.058em}.apx-auth-story p{max-width:510px;color:var(--apx-copy);font-size:1rem;line-height:1.7}.apx-auth-points{display:grid;grid-gap:14px;gap:14px;margin-top:32px}.apx-auth-point{display:grid;grid-template-columns:24px 1fr;grid-gap:12px;gap:12px;color:var(--apx-copy);font-size:.87rem}.apx-auth-point span:first-child{color:var(--apx-mint);font-family:var(--apx-mono)}.apx-auth-fine{color:var(--apx-muted);font-family:var(--apx-mono);font-size:.68rem;line-height:1.6}.apx-auth-workspace{display:flex;align-items:center;justify-content:center;padding:clamp(24px,5vw,72px)}.apx-auth-card{width:min(500px,100%)}.apx-auth-context{margin:0 0 12px;color:var(--apx-mint);font-family:var(--apx-mono);font-size:.7rem;letter-spacing:.1em;text-transform:uppercase}.apx-auth-card h2{margin:0;font-size:clamp(2rem,4vw,3rem);letter-spacing:-.045em}.apx-auth-subtitle{margin:12px 0 0;color:var(--apx-copy);line-height:1.65}.apx-auth-return{margin-top:14px;color:var(--apx-sky);font-family:var(--apx-mono);font-size:.72rem}.apx-auth-form{margin-top:34px}.apx-label{display:block;margin-bottom:9px;color:var(--apx-copy);font-size:.78rem;font-weight:680}.apx-input-row{display:grid;grid-template-columns:minmax(0,1fr) auto;grid-gap:9px;gap:9px}.apx-input{min-height:50px;width:100%;border:1px solid var(--apx-line);border-radius:var(--apx-radius-sm);background:rgba(10,16,15,.86);color:var(--apx-ink);padding:0 15px;outline:none}.apx-input:hover{border-color:rgba(153,204,194,.24)}.apx-input:focus{border-color:var(--apx-mint);box-shadow:0 0 0 4px rgba(108,231,207,.08)}.apx-field-help{margin:8px 0 0;color:var(--apx-muted);font-size:.77rem;line-height:1.5}.apx-divider{display:grid;grid-template-columns:1fr auto 1fr;align-items:center;grid-gap:13px;gap:13px;margin:28px 0;color:var(--apx-dim);font-family:var(--apx-mono);font-size:.65rem;text-transform:uppercase;letter-spacing:.12em}.apx-divider:after,.apx-divider:before{content:"";height:1px;background:var(--apx-line)}.apx-provider-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));grid-gap:9px;gap:9px}.apx-provider{min-height:48px;display:flex;align-items:center;justify-content:space-between;gap:12px;border:1px solid var(--apx-line);border-radius:var(--apx-radius-sm);background:var(--apx-panel);color:var(--apx-copy);padding:0 14px;cursor:pointer}.apx-provider:hover{border-color:var(--apx-line-strong);color:var(--apx-ink)}.apx-provider[disabled]{cursor:not-allowed;opacity:.48}.apx-provider-state{color:var(--apx-muted);font-family:var(--apx-mono);font-size:.68rem}.apx-auth-message,.apx-auth-warning{margin-top:20px;border:1px solid var(--apx-line-strong);border-radius:var(--apx-radius-sm);background:rgba(108,231,207,.07);color:var(--apx-copy);padding:13px 15px;font-size:.83rem;line-height:1.55}.apx-auth-warning{border-color:rgba(255,196,125,.35);background:rgba(255,196,125,.07);color:#ffd6a6}.apx-auth-switch{margin-top:28px;color:var(--apx-muted);font-size:.83rem;text-align:center}.apx-auth-switch a{color:var(--apx-sky)}.apx-checkbox{display:flex;align-items:flex-start;gap:10px;margin-top:18px;color:var(--apx-copy);font-size:.82rem;line-height:1.55}.apx-checkbox input{width:17px;height:17px;margin-top:2px;accent-color:var(--apx-mint)}.apx-checkbox a{color:var(--apx-sky)}.apx-account-page{min-height:100svh;background:var(--apx-bg)}.apx-account{width:min(980px,calc(100% - 36px));margin:0 auto;padding:70px 0 100px}.apx-account-head{display:flex;align-items:flex-end;justify-content:space-between;gap:30px;margin-bottom:36px}.apx-account h1{margin:8px 0 0;font-size:clamp(2.4rem,6vw,4.4rem);letter-spacing:-.055em}.apx-panel{border:1px solid var(--apx-line);border-radius:var(--apx-radius);background:var(--apx-panel);padding:clamp(22px,4vw,34px)}.apx-panel+.apx-panel{margin-top:14px}.apx-panel h2{margin:0 0 20px;font-size:1.15rem}.apx-data-list{display:grid;grid-gap:12px;gap:12px}.apx-data-row{display:grid;grid-template-columns:minmax(120px,.36fr) 1fr;grid-gap:20px;gap:20px;border-top:1px solid var(--apx-line);padding-top:12px}.apx-data-label{color:var(--apx-muted);font-size:.78rem}.apx-data-value{color:var(--apx-copy);font-family:var(--apx-mono);font-size:.78rem;overflow-wrap:anywhere}@media (max-width:1080px){.apx-nav{position:relative;grid-template-columns:auto 1fr auto}.apx-nav-links{display:none}.apx-nav-actions{justify-self:end}.apx-mobile-menu{display:block;justify-self:end}.apx-footer-inner{grid-template-columns:repeat(2,minmax(0,1fr))}}@media (max-width:940px){.apx-hero{grid-template-columns:1fr;min-height:0}.apx-presence-card{min-height:360px;display:grid;grid-template-columns:minmax(220px,.8fr) minmax(0,1.2fr);align-items:center}.apx-presence-field{height:250px}.apx-door-grid,.apx-project-list,.apx-support-band{grid-template-columns:1fr}.apx-door-card{min-height:280px}.apx-auth-page,.apx-trust-panel{grid-template-columns:1fr}.apx-auth-story{min-height:auto;border-right:0;border-bottom:1px solid var(--apx-line)}.apx-auth-story-main{padding:60px 0 28px}}@media (max-width:660px){.apx-nav{position:relative;grid-template-columns:auto 1fr auto;min-height:64px;padding:9px 14px;gap:12px}.apx-brand-mark{width:25px;height:25px}.apx-nav-actions{justify-self:end}.apx-nav-action{min-height:44px;padding:0 12px;font-size:1rem}.apx-hero,.apx-section{width:min(100% - 32px,1200px)}.apx-hero{padding:56px 0 72px;gap:40px}.apx-hero h1{font-size:clamp(3rem,14vw,4.35rem)}.apx-presence-card{min-height:0;display:flex;padding:26px}.apx-presence-field{height:190px}.apx-section{padding-block:72px}.apx-section-head{grid-template-columns:1fr;gap:20px}.apx-section h2{font-size:clamp(2.5rem,12vw,3.5rem)}.apx-door-card{min-height:300px}.apx-project-link{align-items:flex-start;flex-direction:column}.apx-project-action{max-width:none;text-align:left}.apx-support-option{align-items:flex-start;flex-direction:column;gap:16px}.apx-support-option-action{text-align:left}.apx-trust-panel{padding:26px}.apx-footer-inner{grid-template-columns:1fr}.apx-auth-story,.apx-auth-workspace{padding:24px}.apx-auth-story h1{font-size:clamp(2.65rem,14vw,4.2rem)}.apx-input-row{grid-template-columns:1fr}.apx-input-row .apx-button{width:100%}.apx-provider-grid{grid-template-columns:1fr}.apx-account-head{align-items:flex-start;flex-direction:column}.apx-data-row{grid-template-columns:1fr;gap:4px}.apx-diagnostics-opener{width:44px!important;min-width:44px!important;padding:0!important;justify-content:center}.apx-diagnostics-opener-label{display:none}.apx-diagnostics-opener:after{content:"Data";font:700 .62rem/1 system-ui,sans-serif;letter-spacing:.02em}}@media (max-width:480px){.apx-actions{align-items:stretch}.apx-button{width:100%}}@media (max-width:360px){.apx-nav{grid-template-columns:auto 1fr}.apx-nav-actions{display:none}.apx-mobile-menu{grid-column:2}.apx-hero,.apx-section{width:min(100% - 22px,1180px)}.apx-auth-story,.apx-auth-workspace{padding:18px}}@media (prefers-reduced-motion:reduce){html{scroll-behavior:auto}*,:after,:before{animation-duration:.01ms!important;animation-iteration-count:1!important;transition-duration:.01ms!important}}@media (forced-colors:active){.apx-gradient-word{color:CanvasText;background:none}.apx-brand-mark:after{background:Highlight}}