Finite Group Databasebeta

← Group #11787925

Character table — Group #11787925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444444888888888888888812121212121212121212121224241111222222222244444444448888888888888888121212121212121212121212242411112222222222444444444488888888888888881212121212121212121212122424
order12222222223666224466666644446612121212121212121212222244444444443666666666366666121266666612121212661212121212121212121266661212121212121212121236666666663666661212666666121212126612121212121212121212666612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
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χ1011-1-111-1-1-111-1-111-11-1111-1-1-1i−ii−i1-11-1ii−i−iii−i−i-1-111−i−iii−i−iii-1111-1-111-1-1-111-1-111-11-1111-1-1-1i−ii−i1-11-1ii−i−iii−i−i-1-111−i−iii−i−iii-1111-1-111-1-1-111-1-111-11-1111-1-1-1i−ii−i1-11-1ii−i−iii−i−i-1-111−i−iii−i−iii-11
χ1111-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii−i−iii1-111-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii−i−iii1-111-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii−i−iii1-1
χ1211-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii-1-111ii−i−iii−i−i-1111-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii-1-111ii−i−iii−i−i-1111-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii-1-111ii−i−iii−i−i-11
χ1311-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii11-1-1ii−i−i−i−iii-1111-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii11-1-1ii−i−i−i−iii-1111-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii11-1-1ii−i−i−i−iii-11
χ1411-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii-1-111−i−iiiii−i−i1-111-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii-1-111−i−iiiii−i−i1-111-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii-1-111−i−iiiii−i−i1-1
χ1511-1-111-1-1-111-1-11-11-11111-1-1-1−iii−i-11-11−i−iiiii−i−i11-1-1−i−iiiii−i−i-1111-1-111-1-1-111-1-11-11-11111-1-1-1−iii−i-11-11−i−iiiii−i−i11-1-1−i−iiiii−i−i-1111-1-111-1-1-111-1-11-11-11111-1-1-1−iii−i-11-11−i−iiiii−i−i11-1-1−i−iiiii−i−i-11
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χ182222222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000002222222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000002222222222-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000000
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χ202222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000002222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000002222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000000
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χ272222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-1113−33−33−33−3000000000000002222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-1113−33−33−33−3000000000000002222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-1113−33−33−33−300000000000000
χ282222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-111−33−33−33−33000000000000002222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-111−33−33−33−33000000000000002222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-111−33−33−33−3300000000000000
χ292222-2-22-2-22-1-1-1-1-2-22211-1-111000011-1-13−33−3−33−33000000000000002222-2-22-2-22-1-1-1-1-2-22211-1-111000011-1-13−33−3−33−33000000000000002222-2-22-2-22-1-1-1-1-2-22211-1-111000011-1-13−33−3−33−3300000000000000
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χ11811-1-111-1-1-111-1-111-11-1111-1-1-1i−ii−i1-11-1ii−i−iii−i−i-1-111−i−iii−i−iii-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32
χ11911-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii−i−iii1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32
χ12011-1-111-1-1-111-1-111-11-1111-1-1-1−ii−ii1-11-1−i−iii−i−iii-1-111ii−i−iii−i−i-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32
χ12111-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii11-1-1ii−i−i−i−iii-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32
χ12211-1-111-1-1-111-1-11-11-11111-1-1-1i−i−ii-11-11ii−i−i−i−iii-1-111−i−iiiii−i−i1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32
χ12311-1-111-1-1-111-1-11-11-11111-1-1-1−iii−i-11-11−i−iiiii−i−i11-1-1−i−iiiii−i−i-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32
χ12411-1-111-1-1-111-1-11-11-11111-1-1-1−iii−i-11-11−i−iiiii−i−i-1-111ii−i−i−i−iii1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32
χ1252222222222-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000000
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χ1272222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-122-2-21111-1-1-1-1111100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ1282222222222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000
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χ1312222-22-2-22-222220000-22-2-2-220000000000000000000000002-22-200−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i300001+i3−1−i31+i31+i31+i3−1−i3000000000000000000000000−1−i31+i3−1−i31+i300−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i300001−i3−1+i31−i31−i31−i3−1+i3000000000000000000000000−1+i31−i3−1+i31−i300
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χ1352222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-1113−33−33−33−300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000
χ1362222-2-22-2-22-1-1-1-122-2-211-1-1110000-1-111−33−33−33−3300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i3200001+i321+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i3200001−i321−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000
χ1372222-2-22-2-22-1-1-1-1-2-22211-1-111000011-1-13−33−3−33−3300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i320000−1−i32−1−i321+i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i320000−1+i32−1+i321−i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000
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χ13922-2-222-2-2-22-111-12-22-2-1-1-11112i−2i2i−2i-11-11−i−iii−i−iii00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i322ζ11−2ζ112ζ11−2ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ1100000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i322ζ7−2ζ72ζ7−2ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ700000000000000
χ14022-2-222-2-2-22-111-12-22-2-1-1-1111−2i2i−2i2i-11-11ii−i−iii−i−i00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−2ζ112ζ11−2ζ112ζ111+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ1100000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−2ζ72ζ7−2ζ72ζ71−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ700000000000000
χ14122-2-222-2-2-22-111-1-22-22-1-1-11112i−2i−2i2i1-11-1−i−iiiii−i−i00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i322ζ11−2ζ11−2ζ112ζ11−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ1100000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i322ζ7−2ζ7−2ζ72ζ7−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ700000000000000
χ14222-2-222-2-2-22-111-1-22-22-1-1-1111−2i2i2i−2i1-11-1ii−i−i−i−iii00000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−2ζ112ζ112ζ11−2ζ11−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ1100000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−2ζ72ζ72ζ7−2ζ7−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ700000000000000
χ14322-2-22-22-22-22-2-2200002-2-22-22000000000000000000002i−2i−2i2i000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000−1−i31+i31+i3−1−i31+i3−1−i3000000000000000000002ζ11−2ζ11−2ζ112ζ11000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000−1+i31−i31−i3−1+i31−i3−1+i3000000000000000000002ζ7−2ζ7−2ζ72ζ7000000
χ14422-2-22-22-22-22-2-2200002-2-22-2200000000000000000000−2i2i2i−2i000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000−1−i31+i31+i3−1−i31+i3−1−i300000000000000000000−2ζ112ζ112ζ11−2ζ11000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000−1+i31−i31−i3−1+i31−i3−1+i300000000000000000000−2ζ72ζ72ζ7−2ζ7000000
χ14522-2-2-2222-2-22-2-220000-22-222-20000000000000000000000002i−2i−2i2i00−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3−1−i31+i30000000000000000000000002ζ11−2ζ11−2ζ112ζ1100−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3−1+i31−i30000000000000000000000002ζ7−2ζ7−2ζ72ζ700
χ14622-2-2-2222-2-22-2-220000-22-222-2000000000000000000000000−2i2i2i−2i00−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3−1−i31+i3000000000000000000000000−2ζ112ζ112ζ11−2ζ1100−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3−1+i31−i3000000000000000000000000−2ζ72ζ72ζ7−2ζ700
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χ14822-2-2-2-2-22222-2-22-222-2-2-22-2220000-222-20000000000000000000000−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000000000000000−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000000000000000
χ14922-2-2-2-2-2222-111-12-2-2211-11-1-10000-111-1−i3i3i3−i3−i3i3i3−i300000000000000−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i3−1−i32−1−i321+i32−1−i321+i321+i3200001+i32−1−i32−1−i321+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i3200000000000000−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i3−1+i32−1+i321−i32−1+i321−i321−i3200001−i32−1+i32−1+i321−i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i3200000000000000
χ15022-2-2-2-2-2222-111-12-2-2211-11-1-10000-111-1i3−i3−i3i3i3−i3−i3i300000000000000−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i3−1−i32−1−i321+i32−1−i321+i321+i3200001+i32−1−i32−1−i321+i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i3200000000000000−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i3−1+i32−1+i321−i32−1+i321−i321−i3200001−i32−1+i32−1+i321−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i3200000000000000
χ15122-2-2-2-2-2222-111-1-222-211-11-1-100001-1-11−i3i3i3−i3i3−i3−i3i300000000000000−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i3−1−i31+i3−1−i32−1−i321+i32−1−i321+i321+i320000−1−i321+i321+i32−1−i32−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i3200000000000000−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i3−1+i31−i3−1+i32−1+i321−i32−1+i321−i321−i320000−1+i321−i321−i32−1+i323+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i3200000000000000
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χ15344444-4-44-4-4-2-2-2-20000-2222-22000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i31+i31+i31+i31+i300001+i3−1−i3−1−i3−1−i31+i3−1−i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i31−i31−i31−i31−i300001−i3−1+i3−1+i3−1+i31−i3−1+i3000000000000000000000000000000
χ1544444-44-4-44-4-2-2-2-200002-2222-2000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i31+i31+i31+i31+i30000−1−i31+i3−1−i3−1−i3−1−i31+i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i31−i31−i31−i31−i30000−1+i31−i3−1+i3−1+i3−1+i31−i3000000000000000000000000000000
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χ15644-4-4-4444-4-4-222-200002-22-2-22000000000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i3−1−i31+i30000−1−i31+i3−1−i31+i31+i3−1−i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i3−1+i31−i30000−1+i31−i3−1+i31−i31−i3−1+i3000000000000000000000000000000
χ1574-44-400000044-4-4000000000000000000000000002-22-20000000000−2−2i32+2i3−2−2i32+2i3000000−2−2i3−2−2i32+2i32+2i300000000000000000000000000−1−i31+i3−1−i31+i30000000000−2+2i32−2i3−2+2i32−2i3000000−2+2i3−2+2i32−2i32−2i300000000000000000000000000−1+i31−i3−1+i31−i30000000000
χ1584-44-400000044-4-400000000000000000000000000-22-220000000000−2−2i32+2i3−2−2i32+2i3000000−2−2i3−2−2i32+2i32+2i3000000000000000000000000001+i3−1−i31+i3−1−i30000000000−2+2i32−2i3−2+2i32−2i3000000−2+2i3−2+2i32−2i32−2i3000000000000000000000000001−i3−1+i31−i3−1+i30000000000
χ1594-4-440000004-44-4000000000000000000000000002-2-220000000000−2−2i32+2i32+2i3−2−2i3000000−2−2i32+2i3−2−2i32+2i300000000000000000000000000−1−i31+i31+i3−1−i30000000000−2+2i32−2i32−2i3−2+2i3000000−2+2i32−2i3−2+2i32−2i300000000000000000000000000−1+i31−i31−i3−1+i30000000000
χ1604-4-440000004-44-400000000000000000000000000-222-20000000000−2−2i32+2i32+2i3−2−2i3000000−2−2i32+2i3−2−2i32+2i3000000000000000000000000001+i3−1−i3−1−i31+i30000000000−2+2i32−2i32−2i3−2+2i3000000−2+2i32−2i3−2+2i32−2i3000000000000000000000000001−i3−1+i3−1+i31−i30000000000
χ1618-88-8000000-4-4440000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i30000002+2i32+2i3−2−2i3−2−2i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i30000002−2i32−2i3−2+2i3−2+2i30000000000000000000000000000000000000000
χ1628-8-88000000-44-440000000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i30000002+2i3−2−2i32+2i3−2−2i30000000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i30000002−2i3−2+2i32−2i3−2+2i30000000000000000000000000000000000000000

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