FIT22 Simple Extensions

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=onDViyjQ-B4

Field Theory: We consider the case of simple extensions, where we adjoin a single element to a given field. The cases of transcendental and algebraic arise, depending on whether the kernel of the evaluation map is zero or not. In the algebraic case, we define the minimal polynomial, show it is irreducible, and calculate the degree of the extension.","styleRuns":[{"startIndex":0,"length":352,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":352,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CM8BELsvGAIiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC29uRFZpeWpRLUI0GAYyJSIRIgtvbkRWaXlqUS1CNDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CM8BELsvGAIiEwi4sqCC6c2LAxXManoFHc0pABU=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CM4BELovIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"Fd9S6m7pFQY","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Fd9S6m7pFQY/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgXShYMA8= rs=AOn4CLCLHwHU57RQYPJml4tLfDNBZw9AWg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Fd9S6m7pFQY/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIF0oWDAP rs=AOn4CLDBPyxCD8hNG2VlY0sMEyv_4yrbSA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"FIT2.2.1. Example: Cubic Extension by MathDoctorBob 2,949 views 12 years ago 7 minutes, 47 seconds"}},"simpleText":"FIT2.2.1. Example: Cubic Extension"},"longBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"publishedTimeText":{"simpleText":"12 years ago"},"viewCountText":{"simpleText":"2,949 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"7 minutes, 47 seconds"}},"simpleText":"7:47"},"navigationEndpoint":{"clickTrackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Fd9S6m7pFQY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Fd9S6m7pFQY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=15df52ea6ee91506 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=986250 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k8ivt-BdJNEA_nFCANeWoFDl4PfZLXD39pd5rZfCkbNw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABVAhqqk96bd1O8V","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"2.9K views"}},"simpleText":"2.9K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMwBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMwBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Fd9S6m7pFQY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMwBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Fd9S6m7pFQY"],"params":"CAQ%3D"}},"videoIds":["Fd9S6m7pFQY"]}},{"clickTrackingParams":"CMwBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CM0BELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CMwBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtGZDlTNm03cEZRWQ%3D%3D","commands":[{"clickTrackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMsBEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CMgBEKQwGAAiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"7 minutes, 47 seconds"}},"simpleText":"7:47"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMoBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Fd9S6m7pFQY","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMoBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Fd9S6m7pFQY"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMoBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMkBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMkBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Fd9S6m7pFQY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMkBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Fd9S6m7pFQY"],"params":"CAQ%3D"}},"videoIds":["Fd9S6m7pFQY"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMkBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"FIT2.2.1. Example: Cubic Extension - 7 minutes, 47 seconds - Go to channel - MathDoctorBob - 2.9K views - 12 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"CKOSG7fKYIA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/CKOSG7fKYIA/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgXyhXMA8= rs=AOn4CLBuQPWenY2qU8D4fdKafxptGrN0bA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/CKOSG7fKYIA/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIF8oVzAP rs=AOn4CLDsIcIeXWZ6LMFOXOK-h07vRMpHSw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"FIT2.1. Field Extensions by MathDoctorBob 29,387 views 12 years ago 12 minutes, 49 seconds"}},"simpleText":"FIT2.1. Field Extensions"},"longBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"publishedTimeText":{"simpleText":"12 years ago"},"viewCountText":{"simpleText":"29,387 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 49 seconds"}},"simpleText":"12:49"},"navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=CKOSG7fKYIA","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"CKOSG7fKYIA","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nv47lnsy.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=08a3921bb7ca6080 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=665000 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k8ivt-BdJNEA_nFCANeWoFDl4PfZLXD39pd5rZfCkbNw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABVAgMGpvrvD5NEI","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"29K views"}},"simpleText":"29K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMYBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMYBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"CKOSG7fKYIA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMYBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["CKOSG7fKYIA"],"params":"CAQ%3D"}},"videoIds":["CKOSG7fKYIA"]}},{"clickTrackingParams":"CMYBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMcBELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CMYBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtDS09TRzdmS1lJQQ%3D%3D","commands":[{"clickTrackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMUBEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CMIBEKQwGAEiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 49 seconds"}},"simpleText":"12:49"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMQBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"CKOSG7fKYIA","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMQBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"CKOSG7fKYIA"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMQBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMMBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMMBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"CKOSG7fKYIA","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMMBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["CKOSG7fKYIA"],"params":"CAQ%3D"}},"videoIds":["CKOSG7fKYIA"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMMBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"FIT2.1. Field Extensions - 12 minutes, 49 seconds - Go to channel - MathDoctorBob - 29K views - 12 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/CKOSG7fKYIA/mqdefault_6s.webp?du=3000 sqp=COCF070G rs=AOn4CLDz06CmmlJTWufIrnJI31vVrPrb2A","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"6YeWiXOE64A","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/6YeWiXOE64A/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAi8Hp4TEODoYZQCM6L5EdcslA7SQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/6YeWiXOE64A/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBYuGpNkbyJBltVZ7Ul7BPpAmr6EQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"FIT1.1. Number Fields by MathDoctorBob 12,823 views 12 years ago 14 minutes, 24 seconds"}},"simpleText":"FIT1.1. Number Fields"},"longBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"publishedTimeText":{"simpleText":"12 years ago"},"viewCountText":{"simpleText":"12,823 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"14 minutes, 24 seconds"}},"simpleText":"14:24"},"navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=6YeWiXOE64A","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"6YeWiXOE64A","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nv47zne7.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=e98796897384eb80 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=665000 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k8ivt-BdJNEA_nFCANeWoFDl4PfZLXD39pd5rZfCkbNw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABVAgNeTnJfR5cPpAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"12K views"}},"simpleText":"12K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMABEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMABEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"6YeWiXOE64A","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMABEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["6YeWiXOE64A"],"params":"CAQ%3D"}},"videoIds":["6YeWiXOE64A"]}},{"clickTrackingParams":"CMABEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMEBELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CMABEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs2WWVXaVhPRTY0QQ%3D%3D","commands":[{"clickTrackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL8BEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CLwBEKQwGAIiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"14 minutes, 24 seconds"}},"simpleText":"14:24"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"6YeWiXOE64A","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CL4BEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"6YeWiXOE64A"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL4BEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CL0BEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"6YeWiXOE64A","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["6YeWiXOE64A"],"params":"CAQ%3D"}},"videoIds":["6YeWiXOE64A"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CL0BEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"FIT1.1. Number Fields - 14 minutes, 24 seconds - Go to channel - MathDoctorBob - 12K views - 12 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/6YeWiXOE64A/mqdefault_6s.webp?du=3000 sqp=CMD40r0G rs=AOn4CLAO5rpa22E6x7y-D_C94dQjyFmT0w","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"C32fjCX-skY","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/C32fjCX-skY/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGGUgXShWMA8= rs=AOn4CLDhT_9Jg0N4eOma3-FFGSUBlRksGA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/C32fjCX-skY/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhlIF0oVjAP rs=AOn4CLC9JjeuvKhLK9G4-5tgB-ZYDIBsnQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"RNT2.6.1. Gauss' Lemma by MathDoctorBob 10,864 views 12 years ago 16 minutes"}},"simpleText":"RNT2.6.1. Gauss' Lemma"},"longBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"publishedTimeText":{"simpleText":"12 years ago"},"viewCountText":{"simpleText":"10,864 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minutes, 11 seconds"}},"simpleText":"16:11"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=C32fjCX-skY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"C32fjCX-skY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=0b7d9f8c25feb246 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=986250 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k8ivt-BdJNEA_nFCANeWoFDl4PfZLXD39pd5rZfCkbNw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABVAxuT6r8Lx574L","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"10K views"}},"simpleText":"10K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLoBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLoBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"C32fjCX-skY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLoBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["C32fjCX-skY"],"params":"CAQ%3D"}},"videoIds":["C32fjCX-skY"]}},{"clickTrackingParams":"CLoBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLsBELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CLoBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtDMzJmakNYLXNrWQ%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAMiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minutes, 11 seconds"}},"simpleText":"16:11"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"C32fjCX-skY","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"C32fjCX-skY"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"C32fjCX-skY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["C32fjCX-skY"],"params":"CAQ%3D"}},"videoIds":["C32fjCX-skY"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"RNT2.6.1. Gauss' Lemma - 16 minutes - Go to channel - MathDoctorBob - 10K views - 12 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"Buv4Y74_z7I","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Buv4Y74_z7I/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLC4zMziFl_7xEtYUB2Ft-JewOpERA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Buv4Y74_z7I/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCag2VzkULpgJYiROUoPgdj7o3PTg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Visual Group Theory, Lecture 6.1: Fields and their extensions by Professor Macauley 113,574 views 8 years ago 26 minutes"}},"simpleText":"Visual Group Theory, Lecture 6.1: Fields and their extensions"},"longBylineText":{"runs":[{"text":"Professor Macauley","navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ProfessorMacauley","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCH1cV4RtgI_N97M8jepiUzw","canonicalBaseUrl":"/@ProfessorMacauley"}}}]},"publishedTimeText":{"simpleText":"8 years ago"},"viewCountText":{"simpleText":"113,574 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"26 minutes, 34 seconds"}},"simpleText":"26:34"},"navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Buv4Y74_z7I","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Buv4Y74_z7I","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=06ebf863be3fcfb2 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=986250 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Professor Macauley","navigationEndpoint":{"clickTrackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@ProfessorMacauley","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCH1cV4RtgI_N97M8jepiUzw","canonicalBaseUrl":"/@ProfessorMacauley"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/O0KjngijGB1mJDIBjvn5YQKYHIlOAKcn6x8QH2OnMySCrR5ahIyMl00f41tSUzODGxtWGpVW-Jo=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABVAsp__8buM_vUG","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"113K views"}},"simpleText":"113K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Buv4Y74_z7I","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Buv4Y74_z7I"],"params":"CAQ%3D"}},"videoIds":["Buv4Y74_z7I"]}},{"clickTrackingParams":"CLQBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgFIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtCdXY0WTc0X3o3SQ%3D%3D","commands":[{"clickTrackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLMBEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CLABEKQwGAQiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"26 minutes, 34 seconds"}},"simpleText":"26:34"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLIBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Buv4Y74_z7I","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLIBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Buv4Y74_z7I"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLIBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLEBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Buv4Y74_z7I","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLEBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Buv4Y74_z7I"],"params":"CAQ%3D"}},"videoIds":["Buv4Y74_z7I"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Visual Group Theory, Lecture 6.1: Fields and their extensions - 26 minutes - Go to channel - Professor Macauley - 113K views - 8 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"_Sv96VdXipk","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/_Sv96VdXipk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAWuDg8nE1ZIewXtz0GZhLCW4grww","width":168,"height":94},{"url":"https://i.ytimg.com/vi/_Sv96VdXipk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBpVjeWjT-4y3hSFF_E2u7WeZeW4g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"How To Speak without Pausing | Learn English with Podcast Conversation | English Podcast by Easy English Talk 86,000 views 3 days ago 15 minutes"}},"simpleText":"How To Speak without Pausing | Learn English with Podcast Conversation | English Podcast"},"longBylineText":{"runs":[{"text":"Easy English Talk","navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@EasyEnglishTalk2","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYvi1YwWW-Io3kMlYxUeKtA","canonicalBaseUrl":"/@EasyEnglishTalk2"}}}]},"publishedTimeText":{"simpleText":"3 days ago"},"viewCountText":{"simpleText":"86,000 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 19 seconds"}},"simpleText":"15:19"},"navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=_Sv96VdXipk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"_Sv96VdXipk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=fd2bfde957578a99 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=986250 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Easy English Talk","navigationEndpoint":{"clickTrackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@EasyEnglishTalk2","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCYvi1YwWW-Io3kMlYxUeKtA","canonicalBaseUrl":"/@EasyEnglishTalk2"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABU="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/_vQqC4S1ixCU8kKTUfpSMZxEgLMMQUoGeWunOrWifjTVsGYUuQIpyRVfKdbZ0AJxE-DXkPjNahM=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABVAmZXeupW9_5X9AQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"86K views"}},"simpleText":"86K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK4BEP6YBBgHIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK4BEP6YBBgHIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"_Sv96VdXipk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK4BEP6YBBgHIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["_Sv96VdXipk"],"params":"CAQ%3D"}},"videoIds":["_Sv96VdXipk"]}},{"clickTrackingParams":"CK4BEP6YBBgHIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK8BELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CK4BEP6YBBgHIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtfU3Y5NlZkWGlwaw%3D%3D","commands":[{"clickTrackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK0BEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CKoBEKQwGAUiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 19 seconds"}},"simpleText":"15:19"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKwBEPnnAxgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"_Sv96VdXipk","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKwBEPnnAxgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"_Sv96VdXipk"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKwBEPnnAxgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKsBEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKsBEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"_Sv96VdXipk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKsBEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["_Sv96VdXipk"],"params":"CAQ%3D"}},"videoIds":["_Sv96VdXipk"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKsBEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"How To Speak without Pausing | Learn English with Podcast Conversation | English Podcast - 15 minutes - Go to channel - Easy English Talk - 86K views - 3 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/_Sv96VdXipk/mqdefault_6s.webp?du=3000 sqp=CPv10r0G rs=AOn4CLBwopYM4S1lthuZT7Ucv4rzO8DK3g","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"nVXnpGkILSs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/nVXnpGkILSs/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAPB22D788Ewg90zGnqxNLdLzYy4A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/nVXnpGkILSs/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBvRExHt4w7VkJhFyFTIeboBboLdA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"RNT1.1. Definition of Ring by MathDoctorBob 42,906 views 12 years ago 16 minutes"}},"simpleText":"RNT1.1. Definition of Ring"},"longBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"publishedTimeText":{"simpleText":"12 years ago"},"viewCountText":{"simpleText":"42,906 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minutes, 17 seconds"}},"simpleText":"16:17"},"navigationEndpoint":{"clickTrackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=nVXnpGkILSs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"nVXnpGkILSs","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9d55e7a469082d2b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=986250 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"MathDoctorBob","navigationEndpoint":{"clickTrackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MathDoctorBob","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCOUbzLwquaQgKACIc2vJYdw","canonicalBaseUrl":"/@MathDoctorBob"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_k8ivt-BdJNEA_nFCANeWoFDl4PfZLXD39pd5rZfCkbNw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABVAq9qgyMb0-aqdAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"42K views"}},"simpleText":"42K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKgBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKgBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"nVXnpGkILSs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKgBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["nVXnpGkILSs"],"params":"CAQ%3D"}},"videoIds":["nVXnpGkILSs"]}},{"clickTrackingParams":"CKgBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKkBELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CKgBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtuVlhucEdrSUxTcw%3D%3D","commands":[{"clickTrackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKcBEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CKQBEKQwGAYiEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minutes, 17 seconds"}},"simpleText":"16:17"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKYBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"nVXnpGkILSs","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKYBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"nVXnpGkILSs"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKYBEPnnAxgBIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKUBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKUBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"nVXnpGkILSs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKUBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["nVXnpGkILSs"],"params":"CAQ%3D"}},"videoIds":["nVXnpGkILSs"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKUBEMfsBBgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"RNT1.1. Definition of Ring - 16 minutes - Go to channel - MathDoctorBob - 42K views - 12 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/nVXnpGkILSs/mqdefault_6s.webp?du=3000 sqp=CNrp0r0G rs=AOn4CLDfirB4kQI8e9o6LXJFnh67TdOCTQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"G11Tj0BxH9c","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/G11Tj0BxH9c/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDDK34AHAvTFdFC1EF_P-zSjlCzHw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/G11Tj0BxH9c/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCigR9A5ArvgbIQP-I3__xaGC55vQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Practice Speaking Reading Out Loud With This English Shadowing Exercise by Professional English 124 views 3 hours ago 21 minutes"}},"simpleText":"Practice Speaking Reading Out Loud With This English Shadowing Exercise"},"longBylineText":{"runs":[{"text":"Professional English ","navigationEndpoint":{"clickTrackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Professional_English-g9e","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxtBTHK9RCHgwNLF7leOYBw","canonicalBaseUrl":"/@Professional_English-g9e"}}}]},"publishedTimeText":{"simpleText":"3 hours ago"},"viewCountText":{"simpleText":"124 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"21 minutes, 20 seconds"}},"simpleText":"21:20"},"navigationEndpoint":{"clickTrackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWRInvDDxrKxtbiiAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=G11Tj0BxH9c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"G11Tj0BxH9c","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=1b5d538f40711fd7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=986250 mt=1739901931 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Professional English ","navigationEndpoint":{"clickTrackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABUyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@Professional_English-g9e","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCxtBTHK9RCHgwNLF7leOYBw","canonicalBaseUrl":"/@Professional_English-g9e"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABU="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/narWboRhYRY6yYR-uM3J8MWdBPTgq0tCzmn3p7rYneoBCbntKISCKKjCchJToI483niC8LIb9w=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABVA17_Eg_Tx1K4b","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"124 views"}},"simpleText":"124 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CKIBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKIBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"G11Tj0BxH9c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKIBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["G11Tj0BxH9c"],"params":"CAQ%3D"}},"videoIds":["G11Tj0BxH9c"]}},{"clickTrackingParams":"CKIBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CKMBELlqIhMIuLKggunNiwMVzGp6BR3NKQAV"}},"popupType":"TOAST"}}]}},"trackingParams":"CKIBEP6YBBgGIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABU=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtHMTFUajBCeEg5Yw%3D%3D","commands":[{"clickTrackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABU=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKEBEI5iIhMIuLKggunNiwMVzGp6BR3NKQAV","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABU=","hasSeparator":true}}],"trackingParams":"CJ4BEKQwGAciEwi4sqCC6c2LAxXManoFHc0pABU=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"21 minutes, 20 seconds"}},"simpleText":"21:20"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKABEPnnAxgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"G11Tj0BxH9c","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKABEPnnAxgCIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"G11Tj0BxH9c"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKABEPnnAxgCIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CJ8BEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ8BEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"G11Tj0BxH9c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ8BEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["G11Tj0BxH9c"],"params":"CAQ%3D"}},"videoIds":["G11Tj0BxH9c"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CJ8BEMfsBBgDIhMIuLKggunNiwMVzGp6BR3NKQAV"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Practice Speaking Reading Out Loud With This English Shadowing Exercise - 21 minutes - Go to channel - Professional English - 124 views - 3 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/xmAA8eN2UG8/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLDGPxJqH5pf6qgmzt93EwxDP9sTBg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/xmAA8eN2UG8/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLByjqzofz-hvfsCQWCqzG3PZk0KsA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"83 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2631202,"darkTheme":2631202}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4143925,"darkTheme":4143925}}},"stackColor":{"lightTheme":12563105,"darkTheme":9208694}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Abstract Algebra"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"MathDoctorBob

#############################