Finite Group Databasebeta

← Group #13158477

Character table — Group #13158477

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size112222222224444444444444448888888812121212121212121212121212121212121224242472721122222222244444444444444488888888121212121212121212121212121212121212242424727211222222222444444444444444888888881212121212121212121212121212121212122424247272
order1222233666623466666666661212666661212122244446666121212121212121241212443666633666663126666666666121266666121212661212121266661212121212121212121212121236666336666631266666666661212666661212126612121212666612121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-11111-1-111-1-11111-1-1-11-111111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-11111-1-111-1-11111-1-1-11-111111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-11111-1-111-1-11111-1-1-11-1
χ611111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111-1111111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111-1111111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111-11
χ711111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-1111111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-1111111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-11
χ811111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-111111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-111111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1
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χ5911111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ601111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ6211111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-11111-1-111-1-11111-1-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32
χ6311111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32
χ6411111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ6511111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ66222222-1222-12-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1222200-1-1-1-1-1-1-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3001−i321−i321−i321−i321−i321−i321−i321−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3001+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ67222222-1222-12-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1-2-2-2-20011111111000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i31−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i31+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000
χ68222222-1222-1-2-1-222-1-1-111-1-1-111-2-1-111-2112-22-200-1-111-1-111000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i31−i321−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i321−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i3−1+i31−i3001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i31+i321+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i321+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i3−1−i31+i3001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000
χ69222222-1222-1-2-1-222-1-1-111-1-1-111-2-1-111-211-22-220011-1-111-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i31−i321−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i321−i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i31−i3−1+i300−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i31+i321+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i321+i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i31+i3−1−i300−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000
χ7022222-12-1-1-122-12-1-122222-1-1-122-1-1-1-1-1-1-1-100002200000000-1-1-1-12-1-100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3000000001−i321−i321−i321−i32−1+i31−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3000000001+i321+i321+i321+i32−1−i31+i321+i3200
χ7122222-12-1-1-122-12-1-122222-1-1-122-1-1-1-1-1-1-1-10000-2-2000000001111-21100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i300000000−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i300000000−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i3200
χ7222222-12-1-1-12-2-1-2-1-1222-2-2-1-1-1-2-21-1-11111100002200000000-1-1-1-1-21100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i31−i321−i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i3000000001−i321−i321−i321−i321−i3−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i31+i321+i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i3000000001+i321+i321+i321+i321+i3−1−i32−1−i3200
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χ1181111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ11911111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-11111-1-111-1-11111-1-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32
χ12011111111111-11-111111-1-1111-1-1-111-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32
χ12111111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ12211111111111-11-111111-1-1111-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ123222222-1222-12-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1222200-1-1-1-1-1-1-1-1000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3001+i321+i321+i321+i321+i321+i321+i321+i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3001−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ124222222-1222-12-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1-2-2-2-20011111111000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i321+i31+i31+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i321−i31−i31−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000
χ125222222-1222-1-2-1-222-1-1-111-1-1-111-2-1-111-2112-22-200-1-111-1-111000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i31+i321+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i321+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i3−1−i31+i3001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i31−i321−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i321−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i3−1+i31−i3001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000
χ126222222-1222-1-2-1-222-1-1-111-1-1-111-2-1-111-211-22-220011-1-111-1-1000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i31+i321+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i321+i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i31+i3−1−i300−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i31−i321−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i321−i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i31−i3−1+i300−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000
χ12722222-12-1-1-122-12-1-122222-1-1-122-1-1-1-1-1-1-1-100002200000000-1-1-1-12-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3000000001+i321+i321+i321+i32−1−i31+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3000000001−i321−i321−i321−i32−1+i31−i321−i3200
χ12822222-12-1-1-122-12-1-122222-1-1-122-1-1-1-1-1-1-1-10000-2-2000000001111-21100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i300000000−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i300000000−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i3200
χ12922222-12-1-1-12-2-1-2-1-1222-2-2-1-1-1-2-21-1-11111100002200000000-1-1-1-1-21100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i31+i321+i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i3000000001+i321+i321+i321+i321+i3−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i31−i321−i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i3000000001−i321−i321−i321−i321−i3−1+i32−1+i3200
χ13022222-12-1-1-12-2-1-2-1-1222-2-2-1-1-1-2-21-1-1111110000-2-20000000011112-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i31+i321+i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i3−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i31+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i31−i321−i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i3−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i31−i321−i3200
χ131222-2-222222222-2-2-22-2-222222-2-22-2-222-2-2-200000000000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i300000000000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i300000000000000000000000
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χ1634-40004400-4-4040000000000-4000000000000002i−2i000000002i−2i2i−2i00000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i30−2−2i300000000002+2i3000000000000002ζ11−2ζ11000000002ζ11−2ζ112ζ11−2ζ1100000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i30−2+2i300000000002−2i3000000000000002ζ7−2ζ7000000002ζ7−2ζ72ζ7−2ζ700000
χ1644-40004400-4-4040000000000-400000000000000−2i2i00000000−2i2i−2i2i00000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i30−2−2i300000000002+2i300000000000000−2ζ112ζ1100000000−2ζ112ζ11−2ζ112ζ1100000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i30−2+2i300000000002−2i300000000000000−2ζ72ζ700000000−2ζ72ζ7−2ζ72ζ700000
χ1654-4000-24−2i32i32-40-200000000−2i32i32000000000000002i−2i000000002ζ7−2ζ72ζ11−2ζ1100000−2−2i32+2i30001+i3−2−2i3−3+i33−i3−1−i32+2i301+i300000000−3+i33−i3−1−i3000000000000002ζ11−2ζ11000000002i−2i2ζ7−2ζ700000−2+2i32−2i30001−i3−2+2i33+i3−3−i3−1+i32−2i301−i3000000003+i3−3−i3−1+i3000000000000002ζ7−2ζ7000000002ζ11−2ζ112i−2i00000
χ1664-4000-24−2i32i32-40-200000000−2i32i3200000000000000−2i2i00000000−2ζ72ζ7−2ζ112ζ1100000−2−2i32+2i30001+i3−2−2i3−3+i33−i3−1−i32+2i301+i300000000−3+i33−i3−1−i300000000000000−2ζ112ζ1100000000−2i2i−2ζ72ζ700000−2+2i32−2i30001−i3−2+2i33+i3−3−i3−1+i32−2i301−i3000000003+i3−3−i3−1+i300000000000000−2ζ72ζ700000000−2ζ112ζ11−2i2i00000
χ1674-4000-242i3−2i32-40-2000000002i3−2i32000000000000002i−2i000000002ζ11−2ζ112ζ7−2ζ700000−2−2i32+2i30001+i3−2−2i33−i3−3+i3−1−i32+2i301+i3000000003−i3−3+i3−1−i3000000000000002ζ11−2ζ11000000002ζ7−2ζ72i−2i00000−2+2i32−2i30001−i3−2+2i3−3−i33+i3−1+i32−2i301−i300000000−3−i33+i3−1+i3000000000000002ζ7−2ζ7000000002i−2i2ζ11−2ζ1100000
χ1684-4000-242i3−2i32-40-2000000002i3−2i3200000000000000−2i2i00000000−2ζ112ζ11−2ζ72ζ700000−2−2i32+2i30001+i3−2−2i33−i3−3+i3−1−i32+2i301+i3000000003−i3−3+i3−1−i300000000000000−2ζ112ζ1100000000−2ζ72ζ7−2i2i00000−2+2i32−2i30001−i3−2+2i3−3−i33+i3−1+i32−2i301−i300000000−3−i33+i3−1+i300000000000000−2ζ72ζ700000000−2i2i−2ζ112ζ1100000
χ1698-80008-400-840-400000000004000000000000000000000000000000000−4−4i34+4i3000−4−4i32+2i3004+4i3−2−2i302+2i30000000000−2−2i3000000000000000000000000000000000−4+4i34−4i3000−4+4i32−2i3004−4i3−2+2i302−2i30000000000−2+2i3000000000000000000000000000000000
χ1708-8000-4-4−4i34i34402000000002i3−2i3-2000000000000000000000000000000000−4−4i34+4i30002+2i32+2i3−6+2i36−2i3−2−2i3−2−2i30−1−i3000000003−i3−3+i31+i3000000000000000000000000000000000−4+4i34−4i30002−2i32−2i36+2i3−6−2i3−2+2i3−2+2i30−1+i300000000−3−i33+i31−i3000000000000000000000000000000000
χ1718-8000-4-44i3−4i3440200000000−2i32i3-2000000000000000000000000000000000−4−4i34+4i30002+2i32+2i36−2i3−6+2i3−2−2i3−2−2i30−1−i300000000−3+i33−i31+i3000000000000000000000000000000000−4+4i34−4i30002−2i32−2i3−6−2i36+2i3−2+2i3−2+2i30−1+i3000000003+i3−3−i31−i3000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.