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#5b31e11f}[data-skin=openserve].dark{--os-indigo:#8265ff;--os-magenta:#ec5cd6;--os-ink:#f3f3fb;--os-gradient:linear-gradient(100deg,#7856f0,#c13cae);--color-bg:#0b0c1a;--color-surface:#13152c;--color-surface-alt:#191c38;--color-surface-hover:#23264a;--color-text:#f3f3fb;--color-text-rgb:243,243,251;--color-text-soft:#9294b8;--color-text-muted:#c6c7de;--color-text-subtle:#787aa6;--color-border:#30355c;--color-border-soft:#1d2140;--color-border-strong:#3f4670;--color-accent:#8265ff;--ring:#8265ff;--accent-rgb:130,101,255;--color-accent-soft:#7c5cff2e;--color-accent-rose:#ec5cd6;--color-card-bg:#13152c;--color-card-shadow:0 1px 3px #00000080;--color-header-bg:#0b0c1ae6;--color-overlay-bg:#0b0c1adb;--color-nav-bg:#0b0c1ae0;--color-nav-border:#30355c;--color-btn-primary:#6a47e6;--color-btn-primary-text:#fff;--color-scroll-thumb:#383d68;--color-ticker-bg:#7d5cff;--color-ticker-text:#fff;--color-gradient-line:linear-gradient(90deg,#7d5cff 0%,#ec5cd6 55%,transparent 100%);--radius:1rem;--shadow-card:inset 0 1px 0 #ffffff0d,0 1px 3px #00000080;--shadow-float:inset 0 1px 0 #ffffff0f,0 16px 40px -12px #000000b3,0 0 28px -6px #7c5cff38;--shadow-composer:inset 0 1px 0 #ffffff0b,0 2px 18px #00000080;--shadow-composer-focus:0 0 0 1px var(--color-border-strong),0 0 0 4px #7c5cff29,0 8px 30px -10px #7c5cff66;--shadow-inset:inset 0 1px 2px #0000004d;--shadow-glow:0 0 32px #7c5cff42}[data-skin=openserve] ::selection{background:#5b31e124}[data-skin=openserve].dark ::selection{background:#8265ff52}[data-skin=openserve] *{scrollbar-color:#171b4726 transparent}[data-skin=openserve] ::-webkit-scrollbar-thumb{background:#171b4726}[data-skin=openserve] ::-webkit-scrollbar-thumb:hover{background:#171b474d}[data-skin=openserve].dark *{scrollbar-color:#ffffff29 transparent}[data-skin=openserve].dark ::-webkit-scrollbar-thumb{background:#ffffff29}[data-skin=openserve].dark ::-webkit-scrollbar-thumb:hover{background:#ffffff47}[data-skin=openserve] .id-greeting-salutation{font-family:var(--font-sans),sans-serif;letter-spacing:-.01em;font-size:1.9rem;font-weight:600}[data-skin=openserve] .id-greeting-quip{font-family:var(--font-sans),sans-serif}[data-skin=openserve] input,[data-skin=openserve] textarea{caret-color:var(--os-indigo)}[data-skin=openserve] :focus-visible{outline-color:var(--os-indigo)}[data-skin=openserve] [data-slot=input-group]:has(textarea){border:1px solid var(--color-border);box-shadow:var(--shadow-composer);border-radius:1.6rem}[data-skin=openserve] [data-slot=input-group]:has(textarea):hover:not(:focus-within){border-color:var(--color-border-strong);box-shadow:0 4px 20px #171b4717}[data-skin=openserve] [data-slot=input-group]:has(textarea:focus-visible){border-color:var(--color-border-strong);box-shadow:var(--shadow-composer-focus)}[data-skin=openserve] [data-testid=send-button]:not([disabled]){color:#fff;transition:filter .15s var(--ease-smooth),box-shadow .15s var(--ease-smooth);background:linear-gradient(120deg,#5b31e1,#d734c4)}[data-skin=openserve] [data-testid=send-button]:not([disabled]):hover{filter:brightness(1.07);box-shadow:0 4px 14px -4px #5b31e180}[data-skin=openserve] [data-testid=send-button]:not([disabled]):active{filter:brightness(.96)}[data-skin=openserve].dark [data-testid=send-button]:not([disabled]){background:linear-gradient(120deg,#7856f0,#c13cae)}[data-skin=openserve].dark [data-testid=send-button]:not([disabled]):hover{box-shadow:0 4px 16px -4px #7c5cff99}[data-skin=openserve].dark button.group.rounded-2xl.bg-card\/40{background-color:var(--color-surface);border-color:var(--color-border-strong);box-shadow:var(--shadow-card)}[data-skin=openserve].dark button.group.rounded-2xl.bg-card\/40:hover{background-color:var(--color-surface-alt);border-color:var(--os-indigo);box-shadow:var(--shadow-float)}[data-skin=openserve] .os-gradient,[data-skin=openserve] .id-cta-primary{background-image:var(--os-gradient);color:#fff;transition:filter .15s var(--ease-smooth),box-shadow .15s var(--ease-smooth)}[data-skin=openserve] .os-gradient:hover,[data-skin=openserve] .id-cta-primary:hover{filter:brightness(1.06);box-shadow:0 6px 20px -8px #5b31e18c}[data-skin=openserve] .os-gradient:active,[data-skin=openserve] .id-cta-primary:active{filter:brightness(.96);box-shadow:none}[data-skin=openserve] .os-gradient:disabled,[data-skin=openserve] .os-gradient[aria-disabled=true],[data-skin=openserve] .id-cta-primary:disabled,[data-skin=openserve] .cl-formButtonPrimary:disabled{background-color:var(--color-accent-soft);box-shadow:none;color:var(--color-text-subtle);cursor:not-allowed;filter:none;opacity:.8;pointer-events:auto;background-image:none}[data-skin=openserve] [data-placeholder]{color:var(--color-text-subtle)}[data-skin=openserve] .cl-cardBox{border:1px solid var(--color-border);border-radius:calc(var(--radius) + .25rem);box-shadow:var(--shadow-float)}[data-skin=openserve] .cl-headerTitle{color:var(--os-ink);letter-spacing:-.01em}[data-skin=openserve] .cl-formButtonPrimary{background-color:#5b31e1;background-image:var(--os-gradient);box-shadow:none;transition:filter .15s var(--ease-smooth),box-shadow .15s var(--ease-smooth);border:0}[data-skin=openserve] .cl-formButtonPrimary:hover{background-image:var(--os-gradient);filter:brightness(1.06);box-shadow:0 6px 20px -8px #5b31e18c}[data-skin=openserve] .cl-formFieldInput{border-color:var(--color-border);border-radius:.7rem}[data-skin=openserve] .cl-formFieldInput:focus,[data-skin=openserve] .cl-formFieldInput:focus-visible{border-color:var(--color-accent);box-shadow:0 0 0 3px #5b31e11f}[data-skin=openserve] .cl-socialButtonsBlockButton{border-color:var(--color-border);border-radius:.7rem}[data-skin=openserve] .cl-socialButtonsBlockButton:hover{background:var(--color-surface-alt);border-color:var(--color-border-strong)}[data-skin=openserve] .cl-footerActionLink{color:var(--color-accent);font-weight:600}[data-skin=openserve] .cl-footerActionLink:hover{color:var(--os-magenta)}[data-skin=openserve].dark .cl-card,[data-skin=openserve].dark .cl-cardBox{background:var(--color-surface)}[data-skin=openserve].dark .cl-headerSubtitle,[data-skin=openserve].dark .cl-formFieldLabel,[data-skin=openserve].dark .cl-dividerText,[data-skin=openserve].dark .cl-footerActionText,[data-skin=openserve].dark .cl-identityPreviewText,[data-skin=openserve].dark .cl-formFieldInfoText,[data-skin=openserve].dark .cl-formFieldSuccessText{color:var(--color-text-muted)}[data-skin=openserve].dark .cl-formFieldInput,[data-skin=openserve].dark .cl-otpCodeFieldInput{background:var(--color-surface-alt);color:var(--color-text)}[data-skin=openserve].dark .cl-dividerLine{background:var(--color-border)}[data-skin=openserve].dark .cl-socialButtonsBlockButton{color:var(--color-text)}[data-skin=openserve].dark .cl-socialButtonsBlockButton:hover{background:var(--color-surface-hover);border-color:var(--color-border-strong)}[data-skin=blockverse]{--bv-orange:#ff8a00;--bv-amber:#ffb400;--bv-ember:#ff5a1f;--bv-pink:#ff2d7a;--bv-purple:#8a2bff;--color-bg:#131318;--color-surface:#1a1a1f;--color-surface-alt:#202027;--color-surface-hover:#2a2a33;--color-text:#f5f5f7;--color-text-rgb:245,245,247;--color-text-soft:#8f8f9c;--color-text-muted:#c6c6d0;--color-text-subtle:#5c5c68;--color-border:#2b2b34;--color-border-soft:#22222a;--color-border-strong:#3a3a46;--color-accent:#ff8a00;--accent-rgb:255,138,0;--color-accent-soft:#ff8a0024;--color-accent-rose:#ff2d7a;--color-card-bg:#1a1a1f;--color-card-shadow:0 1px 4px #00000080;--color-header-bg:#131318f7;--color-overlay-bg:#131318f2;--color-nav-bg:#131318f0;--color-nav-border:#2b2b34;--color-btn-primary:#ff8a00;--color-btn-primary-text:#1a1a1f;--color-scroll-thumb:#3a3a46;--color-ticker-bg:#ff8a00;--color-ticker-text:#1a1a1f;--radius:.9rem;--shadow-card:0 1px 4px #00000080;--shadow-float:0 12px 32px -8px #0009,0 0 24px #ff8a001a;--shadow-composer:0 2px 16px #00000073;--shadow-composer-focus:0 0 0 1px var(--color-border-strong),0 0 24px #ff8a002e}[data-skin=blockverse] .id-greeting .id-greeting-salutation{font-family:var(--font-sans),sans-serif;letter-spacing:-.01em;font-size:1.9rem;font-weight:700}[data-skin=blockverse] .id-greeting .id-greeting-quip{font-family:var(--font-sans),sans-serif}[data-skin=blockverse] [data-slot=input-group]:has(textarea){border:1px solid var(--color-border);box-shadow:var(--shadow-composer);border-radius:1.2rem}[data-skin=blockverse] .os-gradient,[data-skin=blockverse] .id-cta-primary{color:#1a1a1f;background-image:linear-gradient(100deg,#ffb400,#ff2d7a)}[data-skin=blockverse] .os-gradient:disabled,[data-skin=blockverse] .os-gradient[aria-disabled=true],[data-skin=blockverse] .id-cta-primary:disabled{background-color:var(--color-accent-soft);box-shadow:none;color:var(--color-text-subtle);cursor:not-allowed;filter:none;opacity:.8;pointer-events:auto;background-image:none}[data-skin=wordys]{--wd-purple:#784afc;--wd-violet:#ab6bfc;--wd-cyan:#01a5fe;--wd-blue:#0563fa;--color-bg:#050614;--color-surface:#0c0d1e;--color-surface-alt:#121328;--color-surface-hover:#1b1c36;--color-text:#f0f1f8;--color-text-rgb:240,241,248;--color-text-soft:#8b8da8;--color-text-muted:#c2c4d6;--color-text-subtle:#585a74;--color-border:#1e2038;--color-border-soft:#171830;--color-border-strong:#2e3052;--color-accent:#784afc;--accent-rgb:120,74,252;--color-accent-soft:#784afc26;--color-accent-rose:#01a5fe;--color-card-bg:#0c0d1e;--color-card-shadow:0 1px 4px #00000080;--color-header-bg:#050614f7;--color-overlay-bg:#050614f2;--color-nav-bg:#050614f0;--color-nav-border:#1e2038;--color-btn-primary:#784afc;--color-btn-primary-text:#fff;--color-scroll-thumb:#2e3052;--color-ticker-bg:#784afc;--color-ticker-text:#fff;--radius:1.1rem;--shadow-card:0 1px 4px #00000080;--shadow-float:0 12px 32px -8px #0009,0 0 24px #784afc1f;--shadow-composer:0 2px 16px #00000073;--shadow-composer-focus:0 0 0 1px var(--color-border-strong),0 0 24px #784afc33}[data-skin=wordys] .id-greeting .id-greeting-salutation{font-family:var(--font-sans),sans-serif;letter-spacing:-.01em;font-size:1.9rem;font-weight:600}[data-skin=wordys] .id-greeting .id-greeting-quip{font-family:var(--font-sans),sans-serif}[data-skin=wordys] [data-slot=input-group]:has(textarea){border:1px solid var(--color-border);box-shadow:var(--shadow-composer);border-radius:1.6rem}[data-skin=wordys] .os-gradient,[data-skin=wordys] .id-cta-primary{color:#fff;background-image:linear-gradient(100deg,#784afc,#01a5fe)}[data-skin=wordys] .os-gradient:disabled,[data-skin=wordys] .os-gradient[aria-disabled=true],[data-skin=wordys] .id-cta-primary:disabled{background-color:var(--color-accent-soft);box-shadow:none;color:var(--color-text-subtle);cursor:not-allowed;filter:none;opacity:.8;pointer-events:auto;background-image:none}[data-skin=billionaire]{--bn-champagne:#c9a24b;--bn-champagne-bright:#e9d195;--bn-bronze:#8f6b2a;--bn-obsidian:#0a0c11;--color-bg:#0a0c11;--color-surface:#10131b;--color-surface-alt:#151926;--color-surface-hover:#1c2130;--color-text:#f5f1e6;--color-text-rgb:245,241,230;--color-text-soft:#8d93a3;--color-text-muted:#c4c9d4;--color-text-subtle:#5a6070;--color-border:#232838;--color-border-soft:#1a1f2d;--color-border-strong:#34394d;--color-accent:#c9a24b;--accent-rgb:201,162,75;--color-accent-soft:#c9a24b24;--color-accent-rose:#e9d195;--color-card-bg:#10131b;--color-card-shadow:0 1px 4px #00000080;--color-header-bg:#0a0c11f7;--color-overlay-bg:#0a0c11f2;--color-nav-bg:#0a0c11f0;--color-nav-border:#232838;--color-btn-primary:#c9a24b;--color-btn-primary-text:#171104;--color-scroll-thumb:#34394d;--color-ticker-bg:#c9a24b;--color-ticker-text:#171104;--radius:.9rem;--shadow-card:0 1px 4px #00000080;--shadow-float:0 12px 32px -8px #0009,0 0 24px #c9a24b1a;--shadow-composer:0 2px 16px #00000073;--shadow-composer-focus:0 0 0 1px var(--color-border-strong),0 0 24px #c9a24b2e}[data-skin=billionaire] .id-greeting .id-greeting-salutation{font-family:var(--font-serif),serif;letter-spacing:.005em;font-size:2rem;font-weight:700}[data-skin=billionaire] [data-slot=input-group]:has(textarea){border:1px solid var(--color-border);box-shadow:var(--shadow-composer);border-radius:1.1rem}[data-skin=billionaire] .os-gradient,[data-skin=billionaire] .id-cta-primary{color:#171104;background-image:linear-gradient(100deg,#e9d195,#a8823f)}[data-skin=yourlist]{--yl-rose:#e8285a;--yl-gold:#d99a1b;--color-bg:#fdfcfa;--color-surface:#fff;--color-surface-alt:#f6f4f0;--color-surface-hover:#eeebe5;--color-text:#171412;--color-text-rgb:23,20,18;--color-text-soft:#948e86;--color-text-muted:#5c564f;--color-text-subtle:#b8b2a9;--color-border:#eae6df;--color-border-soft:#f1eee8;--color-border-strong:#d8d2c8;--color-accent:#e8285a;--accent-rgb:232,40,90;--color-accent-soft:#fdeaef;--color-accent-rose:#e8285a;--color-card-bg:#fff;--color-card-shadow:0 1px 2px #1714120d;--color-header-bg:#fdfcfaf7;--color-overlay-bg:#fdfcfaf2;--color-nav-bg:#fdfcfaf0;--color-nav-border:#eae6df;--color-btn-primary:#e8285a;--color-btn-primary-text:#fff;--color-scroll-thumb:#d8d2c8;--color-ticker-bg:#e8285a;--color-ticker-text:#fff;--radius:.9rem;--shadow-card:0 1px 2px #1714120d;--shadow-float:0 12px 32px -8px #1714121f,0 2px 8px -2px #1714120d;--shadow-composer:0 2px 16px #1714120f;--shadow-composer-focus:0 0 0 1px var(--color-border-strong),0 4px 20px #e8285a1f}[data-skin=yourlist] .os-gradient,[data-skin=yourlist] .id-cta-primary{color:#fff;background-image:linear-gradient(100deg,#e8285a,#d99a1b)}:root{--text-xs:var(--type-2);--text-xs--line-height:var(--type-2--leading);--text-sm:var(--type-4);--text-sm--line-height:var(--type-4--leading);--text-base:var(--type-5);--text-base--line-height:var(--type-5--leading);--text-lg:calc(var(--type-5)*var(--type-ratio));--text-lg--line-height:var(--type-5--leading);--text-xl:var(--type-6);--text-2xl:var(--type-7);--text-3xl:var(--type-8);--text-4xl:var(--type-9);--text-5xl:var(--type-10);--text-6xl:var(--type-11)}.id-message-content{font-size:var(--type-4);line-height:1.75}[data-role=assistant] .id-message-content{font-size:var(--type-5)}[data-slot=input-group] textarea,[data-slot=input-group] input{font-size:var(--type-4)}[data-slot=input],[data-slot=textarea]{font-size:var(--type-1)}.id-greeting{animation:fade-up .5s var(--ease-spring);opacity:1!important;transform:none!important}.id-empty-cluster{justify-content:safe center;overflow-y:auto}@media (max-width:767px){.id-empty-cluster[data-anchored=true]{justify-content:flex-start;gap:.75rem;padding-top:3.75rem}.id-empty-cluster:has([data-slot=input-group] textarea:focus){justify-content:flex-start;gap:.75rem;padding-top:3.75rem}.id-empty-cluster:has([data-state=open]){justify-content:flex-start;gap:.75rem;padding-top:3.75rem}.id-empty-cluster[data-anchored=true] .id-greeting-slot{display:none}.id-empty-cluster:has([data-state=open]) .id-greeting-slot{display:none}.id-empty-cluster:has([data-slot=input-group] textarea:focus) .id-greeting-slot{display:none}}[data-sidebar=group-label]{font-size:calc(.75rem*var(--type-scale))}:root[data-text=normal]{--type-scale:.895}:root[data-text=xl]{--type-scale:1.053}html.native-app 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Hopf conjecture

Articleresearching the web…

Hopf conjecture

Articleresearching the web…