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var(--tw-gradient-from-position),var(--tw-gradient-to) var(--tw-gradient-to-position))}.bg-clip-text{-webkit-background-clip:text;background-clip:text}.p-1{padding:var(--spacing)}.p-2{padding:calc(var(--spacing) * 2)}.p-4{padding:calc(var(--spacing) * 4)}.p-5{padding:calc(var(--spacing) * 5)}.p-6{padding:calc(var(--spacing) * 6)}.p-8{padding:calc(var(--spacing) * 8)}.p-12{padding:calc(var(--spacing) * 12)}.px-1{padding-inline:var(--spacing)}.px-1\.5{padding-inline:calc(var(--spacing) * 1.5)}.px-2{padding-inline:calc(var(--spacing) * 2)}.px-2\.5{padding-inline:calc(var(--spacing) * 2.5)}.px-3{padding-inline:calc(var(--spacing) * 3)}.px-4{padding-inline:calc(var(--spacing) * 4)}.px-5{padding-inline:calc(var(--spacing) * 5)}.px-6{padding-inline:calc(var(--spacing) * 6)}.py-0\.5{padding-block:calc(var(--spacing) * .5)}.py-1{padding-block:var(--spacing)}.py-1\.5{padding-block:calc(var(--spacing) * 1.5)}.py-2\.5{padding-block:calc(var(--spacing) * 2.5)}.py-3{padding-block:calc(var(--spacing) * 3)}.py-6{padding-block:calc(var(--spacing) * 6)}.py-8{padding-block:calc(var(--spacing) * 8)}.pt-2{padding-top:calc(var(--spacing) * 2)}.pr-4{padding-right:calc(var(--spacing) * 4)}.pb-12{padding-bottom:calc(var(--spacing) * 12)}.pl-4{padding-left:calc(var(--spacing) * 4)}.text-center{text-align:center}.font-mono{font-family:var(--font-mono)}.font-sans{font-family:var(--font-inter),ui-sans-serif,system-ui,sans-serif}.text-2xl{font-size:var(--text-2xl);line-height:var(--tw-leading,var(--text-2xl--line-height))}.text-4xl{font-size:var(--text-4xl);line-height:var(--tw-leading,var(--text-4xl--line-height))}.text-base{font-size:var(--text-base);line-height:var(--tw-leading,var(--text-base--line-height))}.text-lg{font-size:var(--text-lg);line-height:var(--tw-leading,var(--text-lg--line-height))}.text-sm{font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height))}.text-xl{font-size:var(--text-xl);line-height:var(--tw-leading,var(--text-xl--line-height))}.text-xs{font-size:var(--text-xs);line-height:var(--tw-leading,var(--text-xs--line-height))}.text-\[10px\]{font-size:10px}.leading-relaxed{--tw-leading:var(--leading-relaxed);line-height:var(--leading-relaxed)}.leading-snug{--tw-leading:var(--leading-snug);line-height:var(--leading-snug)}.font-bold{--tw-font-weight:var(--font-weight-bold);font-weight:var(--font-weight-bold)}.font-extrabold{--tw-font-weight:var(--font-weight-extrabold);font-weight:var(--font-weight-extrabold)}.font-medium{--tw-font-weight:var(--font-weight-medium);font-weight:var(--font-weight-medium)}.font-semibold{--tw-font-weight:var(--font-weight-semibold);font-weight:var(--font-weight-semibold)}.tracking-tight{--tw-tracking:var(--tracking-tight);letter-spacing:var(--tracking-tight)}.tracking-wide{--tw-tracking:var(--tracking-wide);letter-spacing:var(--tracking-wide)}.tracking-wider{--tw-tracking:var(--tracking-wider);letter-spacing:var(--tracking-wider)}.tracking-widest{--tw-tracking:var(--tracking-widest);letter-spacing:var(--tracking-widest)}.text-ellipsis{text-overflow:ellipsis}.whitespace-nowrap{white-space:nowrap}.whitespace-pre-line{white-space:pre-line}.text-amber-200{color:var(--color-amber-200)}.text-amber-400{color:var(--color-amber-400)}.text-brand-bg{color:#0a0e27}.text-brand-cyan{color:#00d4ff}.text-emerald-400{color:var(--color-emerald-400)}.text-gray-100{color:var(--color-gray-100)}.text-gray-200{color:var(--color-gray-200)}.text-gray-300{color:var(--color-gray-300)}.text-gray-400{color:var(--color-gray-400)}.text-gray-700{color:var(--color-gray-700)}.text-purple-400{color:var(--color-purple-400)}.text-red-200{color:var(--color-red-200)}.text-red-400{color:var(--color-red-400)}.text-red-500{color:var(--color-red-500)}.text-transparent{color:#0000}.text-white{color:var(--color-white)}.uppercase{text-transform:uppercase}.italic{font-style:italic}.antialiased{-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}.placeholder-gray-400::placeholder{color:var(--color-gray-400)}.opacity-25{opacity:.25}.opacity-75{opacity:.75}.shadow-\[0_0_15px_\#00d4ff\]{--tw-shadow:0 0 15px var(--tw-shadow-color,#00d4ff)}.shadow-\[0_0_15px_\#00d4ff\],.shadow-\[0_0_15px_rgba\(0\,212\,255\,0\.4\)\]{box-shadow:var(--tw-inset-shadow),var(--tw-inset-ring-shadow),var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow)}.shadow-\[0_0_15px_rgba\(0\,212\,255\,0\.4\)\]{--tw-shadow:0 0 15px var(--tw-shadow-color,#00d4ff66)}.outline-hidden{--tw-outline-style:none;outline-style:none}@media (forced-colors:active){.outline-hidden{outline-offset:2px;outline:2px solid #0000}}.transition-all{transition-property:all;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration))}.transition-colors{transition-property:color,background-color,border-color,outline-color,text-decoration-color,fill,stroke,--tw-gradient-from,--tw-gradient-via,--tw-gradient-to;transition-timing-function:var(--tw-ease,var(--default-transition-timing-function));transition-duration:var(--tw-duration,var(--default-transition-duration))}.duration-150{--tw-duration:.15s;transition-duration:.15s}.duration-200{--tw-duration:.2s;transition-duration:.2s}.duration-300{--tw-duration:.3s;transition-duration:.3s}@media (hover:hover){.hover\:border-brand-cyan\/40:hover{border-color:oklab(80.4255% -.112589 -.0928607/.4)}.hover\:border-red-700\/60:hover{border-color:#bf000f99}@supports (color:color-mix(in lab,red,red)){.hover\:border-red-700\/60:hover{border-color:color-mix(in oklab,var(--color-red-700) 60%,transparent)}}.hover\:bg-brand-cyan\/5:hover{background-color:oklab(80.4255% -.112589 -.0928607/.05)}.hover\:text-brand-cyan:hover{color:#00d4ff}.hover\:text-brand-cyan\/80:hover{color:oklab(80.4255% -.112589 -.0928607/.8)}.hover\:text-red-300:hover{color:var(--color-red-300)}.hover\:text-white:hover{color:var(--color-white)}.hover\:underline:hover{text-decoration-line:underline}.hover\:brightness-110:hover{--tw-brightness:brightness(110%);filter:var(--tw-blur,) var(--tw-brightness,) var(--tw-contrast,) var(--tw-grayscale,) var(--tw-hue-rotate,) var(--tw-invert,) var(--tw-saturate,) var(--tw-sepia,) var(--tw-drop-shadow,)}}.focus\:border-brand-cyan:focus{border-color:#00d4ff}.focus\:ring-0:focus{--tw-ring-shadow:var(--tw-ring-inset,) 0 0 0 calc(0px + var(--tw-ring-offset-width)) var(--tw-ring-color,currentcolor);box-shadow:var(--tw-inset-shadow),var(--tw-inset-ring-shadow),var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow)}.focus\:outline-none:focus{--tw-outline-style:none;outline-style:none}.active\:scale-95:active{--tw-scale-x:95%;--tw-scale-y:95%;--tw-scale-z:95%;scale:var(--tw-scale-x) var(--tw-scale-y)}.disabled\:cursor-wait:disabled{cursor:wait}.disabled\:opacity-70:disabled{opacity:.7}@media (min-width:40rem){.sm\:flex-row{flex-direction:row}.sm\:text-left{text-align:left}}@media (min-width:48rem){.md\:mt-0{margin-top:0}.md\:max-w-xs{max-width:var(--container-xs)}.md\:grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.md\:grid-cols-3{grid-template-columns:repeat(3,minmax(0,1fr))}.md\:flex-row{flex-direction:row}.md\:self-start{align-self:flex-start}.md\:p-6{padding:calc(var(--spacing) * 6)}.md\:p-7{padding:calc(var(--spacing) * 7)}.md\:p-8{padding:calc(var(--spacing) * 8)}.md\:px-8{padding-inline:calc(var(--spacing) * 8)}.md\:py-16{padding-block:calc(var(--spacing) * 16)}.md\:text-2xl{font-size:var(--text-2xl);line-height:var(--tw-leading,var(--text-2xl--line-height))}.md\:text-3xl{font-size:var(--text-3xl);line-height:var(--tw-leading,var(--text-3xl--line-height))}.md\:text-5xl{font-size:var(--text-5xl);line-height:var(--tw-leading,var(--text-5xl--line-height))}.md\:text-base{font-size:var(--text-base);line-height:var(--tw-leading,var(--text-base--line-height))}.md\:text-lg{font-size:var(--text-lg);line-height:var(--tw-leading,var(--text-lg--line-height))}.md\:text-sm{font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height))}}}:root{--background:#0a0e27;--foreground:#f3f4f6;--card:#0f132e;--card-foreground:#f3f4f6;--popover:#0f132e;--popover-foreground:#f3f4f6;--primary:#00d4ff;--primary-foreground:#0a0e27;--secondary:#7c3aed;--secondary-foreground:#f3f4f6;--muted:#0f132e80;--muted-foreground:#6b7280;--accent:#00d4ff1a;--accent-foreground:#00d4ff;--destructive:#ef4444;--destructive-foreground:#f3f4f6;--border:#ffffff14;--input:#ffffff14;--ring:#00d4ff;--radius:.75rem}body{background-color:var(--background);color:var(--foreground)}.legal-content h2{color:#f3f4f6;margin-top:1.5rem;margin-bottom:.25rem;font-size:1rem;font-weight:600}.legal-content a{color:#00d4ff}.legal-content a:hover{text-decoration:underline}.legal-content ul{flex-direction:column;gap:.25rem;padding-left:1.25rem;list-style:outside;display:flex}.glass{-webkit-backdrop-filter:blur(12px);background:#0f132e80}.glass,.glass-card{border:1px solid #ffffff14}.glass-card{will-change:transform;background:#0f132ed9}.glass-card:hover{border-color:#00d4ff40;box-shadow:0 0 30px -5px #00d4ff33,0 0 20px -5px #7c3aed33}.glass-glow{box-shadow:0 0 25px -5px #00d4ff26,0 0 15px -5px #7c3aed26}.glass:hover{border-color:#00d4ff40;box-shadow:0 0 30px -5px #00d4ff33,0 0 20px -5px #7c3aed33}@keyframes radar-pulse{0%{opacity:.9;transform:scale(.9)}50%{opacity:.4}to{opacity:0;transform:scale(2.2)}}.radar-ring{will-change:transform,opacity;border:2px solid #00d4ff;border-radius:50%;animation:radar-pulse 3s cubic-bezier(.215,.61,.355,1) infinite;position:absolute}.radar-ring:nth-child(2){animation-delay:1s}.radar-ring:nth-child(3){animation-delay:2s}@keyframes shimmer{0%{background-position:-200% 0}to{background-position:200% 0}}.shimmer{will-change:background-position;background:linear-gradient(90deg,#ffffff08 25%,#ffffff14 37%,#ffffff08 63%) 0 0/200% 100%;animation:shimmer 1.5s linear infinite}@property --tw-rotate-x{syntax:"*";inherits:false}@property --tw-rotate-y{syntax:"*";inherits:false}@property --tw-rotate-z{syntax:"*";inherits:false}@property --tw-skew-x{syntax:"*";inherits:false}@property --tw-skew-y{syntax:"*";inherits:false}@property --tw-space-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-gradient-position{syntax:"*";inherits:false}@property --tw-gradient-from{syntax:"";inherits:false;initial-value:#0000}@property --tw-gradient-via{syntax:"";inherits:false;initial-value:#0000}@property --tw-gradient-to{syntax:"";inherits:false;initial-value:#0000}@property --tw-gradient-stops{syntax:"*";inherits:false}@property --tw-gradient-via-stops{syntax:"*";inherits:false}@property --tw-gradient-from-position{syntax:"";inherits:false;initial-value:0}@property --tw-gradient-via-position{syntax:"";inherits:false;initial-value:50%}@property --tw-gradient-to-position{syntax:"";inherits:false;initial-value:100%}@property --tw-leading{syntax:"*";inherits:false}@property --tw-font-weight{syntax:"*";inherits:false}@property --tw-tracking{syntax:"*";inherits:false}@property --tw-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-shadow-color{syntax:"*";inherits:false}@property --tw-shadow-alpha{syntax:"";inherits:false;initial-value:100%}@property --tw-inset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-shadow-color{syntax:"*";inherits:false}@property --tw-inset-shadow-alpha{syntax:"";inherits:false;initial-value:100%}@property --tw-ring-color{syntax:"*";inherits:false}@property --tw-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-ring-color{syntax:"*";inherits:false}@property --tw-inset-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-ring-inset{syntax:"*";inherits:false}@property --tw-ring-offset-width{syntax:"";inherits:false;initial-value:0}@property --tw-ring-offset-color{syntax:"*";inherits:false;initial-value:#fff}@property --tw-ring-offset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-duration{syntax:"*";inherits:false}@property --tw-blur{syntax:"*";inherits:false}@property --tw-brightness{syntax:"*";inherits:false}@property --tw-contrast{syntax:"*";inherits:false}@property --tw-grayscale{syntax:"*";inherits:false}@property --tw-hue-rotate{syntax:"*";inherits:false}@property --tw-invert{syntax:"*";inherits:false}@property --tw-opacity{syntax:"*";inherits:false}@property --tw-saturate{syntax:"*";inherits:false}@property --tw-sepia{syntax:"*";inherits:false}@property --tw-drop-shadow{syntax:"*";inherits:false}@property --tw-drop-shadow-color{syntax:"*";inherits:false}@property --tw-drop-shadow-alpha{syntax:"";inherits:false;initial-value:100%}@property --tw-drop-shadow-size{syntax:"*";inherits:false}@property --tw-scale-x{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-y{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-z{syntax:"*";inherits:false;initial-value:1}@keyframes spin{to{transform:rotate(1turn)}}@keyframes pulse{50%{opacity:.5}}

Universal appearance tendency of modes at the finite periodic PT-symmetric structure.

Abstract