Finite Group Databasebeta

← Group #11786283

Character table — Group #11786283

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order122222223444466666664444121212121212121212121212444412121212121212128888888844443666666631212121266666661212121212121212121212121212121212121212121212121212121224242424242424241212121236666666312121212666666612121212121212121212121212121212121212121212121212121212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i
χ101-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii
χ111-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii
χ121-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i1-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i
χ131-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii1-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii1-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii
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χ151-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i1-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i1-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i
χ161-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii
χ17222222222-2-2-2-222222222-22-2-2-2-2-222-2-222-2-2000000000000000000000000222222222-2-2-2-222222222-22-2-2-2-2-222-2-222-2-2000000000000000000000000222222222-2-2-2-222222222-22-2-2-2-2-222-2-222-2-2000000000000000000000000
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χ1922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000
χ2522222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ2622222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000i3−i3i3−i3−i3i3−i3i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000i3−i3i3−i3−i3i3−i3i300000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ272222-2-2-2-222-22-2222-2-2-2-200002-22-20000000000000000000000002-22-200002222-2-2-2-222-22-2222-2-2-2-200002-22-20000000000000000000000002-22-200002222-2-2-2-222-22-2222-2-2-2-200002-22-20000000000000000000000002-22-20000
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χ761-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11
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χ7922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−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−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+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+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ8022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−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−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+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+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000
χ8122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ8222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000
χ8322222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000
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χ8522222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i320000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000
χ8622222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000i3−i3i3−i3−i3i3−i3i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i320000−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200003−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32000000000000
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χ1321-1-1111-1-11-1-111-1-1111-1-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111i−ii−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7
χ1331-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7
χ1341-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−iii−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7ζ7−ζ7
χ1351-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7
χ1361-1-1111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1i−i−ii−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−ζ7ζ7
χ137222222222-2-2-2-222222222-22-2-2-2-2-222-2-222-2-2000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000000000000000000000
χ138222222222-2-2-2-22222222-22-22-2-2-2-2-2-222-2-222000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3000000000000000000000000
χ13922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+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+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−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−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ14022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+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+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−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−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ14122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ14222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ14322222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000
χ14422222222-1-2-2-2-2-1-1-1-1-1-1-12-22-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000
χ14522222222-1-2-2-2-2-1-1-1-1-1-1-1-22-22111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i320000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000
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χ1744-44-44-4-44-200002-22-222-2000000000023−2300−2323000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i30000−1−i31+i3−1−i31+i3−1−i3−1−i31+i300000000004ζ7+2ζ11−4ζ7−2ζ1100−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i30000−1+i31−i3−1+i31−i3−1+i3−1+i31−i30000000000−2ζ7−4ζ112ζ7+4ζ11002ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000
χ1754-44-44-4-44-200002-22-222-20000000000−23230023−23000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i31+i30000−1−i31+i3−1−i31+i3−1−i3−1−i31+i30000000000−4ζ7−2ζ114ζ7+2ζ11004ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i31−i30000−1+i31−i3−1+i31−i3−1+i3−1+i31−i300000000002ζ7+4ζ11−2ζ7−4ζ1100−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000
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χ1784-44-4-444-4-200002-222-2-2200000000−23230023−2300000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i30000−1−i31+i3−1−i3−1−i31+i31+i3−1−i300000000−4ζ7−2ζ114ζ7+2ζ11004ζ7+2ζ11−4ζ7−2ζ1100000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i30000−1+i31−i3−1+i3−1+i31−i31−i3−1+i3000000002ζ7+4ζ11−2ζ7−4ζ1100−2ζ7−4ζ112ζ7+4ζ1100000000000000000000000000
χ1794-4-44-4-444-24-4-4422-222-2-200002-2-2200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i30000−1−i31+i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i30000−1+i31−i31−i3−1+i300000000000000000000000000000000
χ1804-4-44-4-444-2-444-422-222-2-20000-222-200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300001+i3−1−i3−1−i31+i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300001−i3−1+i3−1+i31−i300000000000000000000000000000000

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