Finite Group Databasebeta

← Group #11784854

Character table — Group #11784854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222444444444444444444448888888888121212121212121224242424111122222222222222444444444444444444448888888888121212121212121224242424111122222222222222444444444444444444448888888888121212121212121224242424
order122222344446666666222244441212121212121212121212124466661212121222224444888836666631212121266666666666121212121212121212121212121212121212666612121212666612121212242424243666663121212126666666666612121212121212121212121212121212121266661212121266661212121224242424
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
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1
χ91-1-111-1111-1-111-11-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-11-11-1i−ii−i1-1-111-1111-1-111-11-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-11-11-1i−ii−i1-1-111-1111-1-111-11-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-11-11-11-1i−ii−i
χ101-1-111-1111-1-111-11-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11-11-11−ii−ii1-1-111-1111-1-111-11-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11-11-11−ii−ii1-1-111-1111-1-111-11-1-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i11-1-1ii−i−i-11-11-11-11−ii−ii
χ111-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-11-11-1−ii−ii1-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-11-11-1−ii−ii1-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-11-11-1−ii−ii
χ121-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11-11-11i−ii−i1-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11-11-11i−ii−i1-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11-11-11i−ii−i
χ131-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii1-1-111-1-11i−i−ii1-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii1-1-111-1-11i−i−ii1-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii1-1-111-1-11i−i−ii
χ141-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii-111-1-111-1−iii−i1-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii-111-1-111-1−iii−i1-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii-111-1-111-1−iii−i
χ151-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i1-1-111-1-11−iii−i1-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i1-1-111-1-11−iii−i1-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i1-1-111-1-11−iii−i
χ161-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i-111-1-111-1i−i−ii1-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i-111-1-111-1i−i−ii1-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i-111-1-111-1i−i−ii
χ172222222-2-2-2-222222222-22-20000-2-2-2-200000000002-22-200000000000000002222222-2-2-2-222222222-22-20000-2-2-2-200000000002-22-200000000000000002222222-2-2-2-222222222-22-20000-2-2-2-200000000002-22-20000000000000000
χ182222222-2-2-2-22222222-22-220000-2-2-2-20000000000-22-2200000000000000002222222-2-2-2-22222222-22-220000-2-2-2-20000000000-22-2200000000000000002222222-2-2-2-22222222-22-220000-2-2-2-20000000000-22-220000000000000000
χ19222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111000000000000222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111000000000000222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-1000000000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-1000000000000
χ23222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i3000000000000
χ24222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i3000000000000
χ25222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i3000000000000
χ26222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i3000000000000222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i3000000000000
χ272222-2-222-22-2-2-222-2-22000000002-22-2000000000000000000002200-2-200002222-2-222-22-2-2-222-2-22000000002-22-2000000000000000000002200-2-200002222-2-222-22-2-2-222-2-22000000002-22-2000000000000000000002200-2-20000
χ282222-2-222-22-2-2-222-2-22000000002-22-200000000000000000000-2-2002200002222-2-222-22-2-2-222-2-22000000002-22-200000000000000000000-2-2002200002222-2-222-22-2-2-222-2-22000000002-22-200000000000000000000-2-200220000
χ292222-2-22-22-22-2-222-2-2200000000-22-220000000000000000002200-2-20000002222-2-22-22-22-2-222-2-2200000000-22-220000000000000000002200-2-20000002222-2-22-22-22-2-222-2-2200000000-22-220000000000000000002200-2-2000000
χ302222-2-22-22-22-2-222-2-2200000000-22-22000000000000000000-2-200220000002222-2-22-22-22-2-222-2-2200000000-22-22000000000000000000-2-200220000002222-2-22-22-22-2-222-2-2200000000-22-22000000000000000000-2-20022000000
χ312-2-222-22-2-22222-22-2-2-22-2-220000-2-22200000000002-2-2200000000000000002-2-222-22-2-22222-22-2-2-22-2-220000-2-22200000000002-2-2200000000000000002-2-222-22-2-22222-22-2-2-22-2-220000-2-22200000000002-2-220000000000000000
χ322-2-222-22-2-22222-22-2-2-2-222-20000-2-2220000000000-222-200000000000000002-2-222-22-2-22222-22-2-2-2-222-20000-2-2220000000000-222-200000000000000002-2-222-22-2-22222-22-2-2-2-222-20000-2-2220000000000-222-20000000000000000
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χ372-2-222-2-1-2-222-1-11-11112-2-22000011-1-133−3−3−3−33300-111-13−3−330000000000002-2-222-2-1-2-222-1-11-11112-2-22000011-1-133−3−3−3−33300-111-13−3−330000000000002-2-222-2-1-2-222-1-11-11112-2-22000011-1-133−3−3−3−33300-111-13−3−33000000000000
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χ392-2-222-2-1-2-222-1-11-1111-222-2000011-1-133−3−3−3−333001-1-11−333−30000000000002-2-222-2-1-2-222-1-11-1111-222-2000011-1-133−3−3−3−333001-1-11−333−30000000000002-2-222-2-1-2-222-1-11-1111-222-2000011-1-133−3−3−3−333001-1-11−333−3000000000000
χ402-2-222-2-1-2-222-1-11-1111-222-2000011-1-1−3−33333−3−3001-1-113−3−330000000000002-2-222-2-1-2-222-1-11-1111-222-2000011-1-1−3−33333−3−3001-1-113−3−330000000000002-2-222-2-1-2-222-1-11-1111-222-2000011-1-1−3−33333−3−3001-1-113−3−33000000000000
χ412-2-22-2222-2-22-2-2-2222-2000000002-2-22000000000000000000002-200-2200002-2-22-2222-2-22-2-2-2222-2000000002-2-22000000000000000000002-200-2200002-2-22-2222-2-22-2-2-2222-2000000002-2-22000000000000000000002-200-220000
χ422-2-22-2222-2-22-2-2-2222-2000000002-2-2200000000000000000000-22002-200002-2-22-2222-2-22-2-2-2222-2000000002-2-2200000000000000000000-22002-200002-2-22-2222-2-22-2-2-2222-2000000002-2-2200000000000000000000-22002-20000
χ432-2-22-222-222-2-2-2-2222-200000000-222-20000000000000000002-200-220000002-2-22-222-222-2-2-2-2222-200000000-222-20000000000000000002-200-220000002-2-22-222-222-2-2-2-2222-200000000-222-20000000000000000002-200-22000000
χ442-2-22-222-222-2-2-2-2222-200000000-222-2000000000000000000-22002-20000002-2-22-222-222-2-2-2-2222-200000000-222-2000000000000000000-22002-20000002-2-22-222-222-2-2-2-2222-200000000-222-2000000000000000000-22002-2000000
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χ464444-4-4-2-44-4422-2-222-2000000002-22-20000000000000000000000000000004444-4-4-2-44-4422-2-222-2000000002-22-20000000000000000000000000000004444-4-4-2-44-4422-2-222-2000000002-22-2000000000000000000000000000000
χ4744-4-40040000004-400-400002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000044-4-40040000004-400-400002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000044-4-40040000004-400-400002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000000000
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χ79222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000−1+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+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1−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−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000
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χ1311-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-11-11-11-1−ii−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ1321-1-111-1111-1-111-11-1-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii11-1-1−i−iii-11-11-11-11i−ii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ1331-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii1-1-111-1-11i−i−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ1341-1-111-1111-1-111-11-1-1-1-1-111ii−i−i11-1-1iiii−i−i−i−i−ii-1-111−i−iii-111-1-111-1−iii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ1351-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i1-1-111-1-11−iii−i−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ1361-1-111-1111-1-111-11-1-1-1-1-111−i−iii11-1-1−i−i−i−iiiiii−i-1-111ii−i−i-111-1-111-1i−i−ii−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ1372222222-2-2-2-222222222-22-20000-2-2-2-200000000002-22-20000000000000000−1−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+i300001+i31+i31+i31+i30000000000−1−i31+i3−1−i31+i30000000000000000−1+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−i300001−i31−i31−i31−i30000000000−1+i31−i3−1+i31−i30000000000000000
χ1382222222-2-2-2-22222222-22-220000-2-2-2-20000000000-22-220000000000000000−1−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−i300001+i31+i31+i31+i300000000001+i3−1−i31+i3−1−i30000000000000000−1+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+i300001−i31−i31−i31−i300000000001−i3−1+i31−i3−1+i30000000000000000
χ139222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000−1−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−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+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+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ140222222-12222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111000000000000−1−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+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+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+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−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−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ141222222-12222-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000−1−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+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ142222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-1000000000000−1−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+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−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+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−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+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ143222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i3000000000000−1−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+i30000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32001+i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i32000000000000−1+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−i30000−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32001−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i32000000000000
χ144222222-1-2-2-2-2-1-1-1-1-1-1-12-22-200001111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i3000000000000−1−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+i30000−1−i32−1−i32−1−i32−1−i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i32001+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i32000000000000−1+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−i30000−1+i32−1+i32−1+i32−1+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32001−i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i32000000000000
χ145222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i3000000000000−1−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−i30000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i3200−1−i321+i32−1−i321+i323−i32−3+i323−i32−3+i32000000000000−1+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+i30000−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i3200−1+i321−i32−1+i321−i32−3−i323+i32−3−i323+i32000000000000
χ146222222-1-2-2-2-2-1-1-1-1-1-1-1-22-2200001111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i3000000000000−1−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−i30000−1−i32−1−i32−1−i32−1−i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i3200−1−i321+i32−1−i321+i32−3+i323−i32−3+i323−i32000000000000−1+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+i30000−1+i32−1+i32−1+i32−1+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i3200−1+i321−i32−1+i321−i323+i32−3−i323+i32−3−i32000000000000
χ1472222-2-222-22-2-2-222-2-22000000002-22-2000000000000000000002200-2-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i300000000−1−i31+i3−1−i31+i300000000000000000000−1−i3−1−i3001+i31+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i300000000−1+i31−i3−1+i31−i300000000000000000000−1+i3−1+i3001−i31−i30000
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χ1754-44-400-20000−2i32i3222i3−2i3-200002-2-220000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i30000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−3+i33−i3−1−i3−1−i33−i3−3+i31+i30000−1−i31+i31+i3−1−i300002-2−1+i31−i3-221−i3−1+i30000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i300003+i3−3−i3−1+i3−1+i3−3−i33+i31−i30000−1+i31−i31−i3−1+i30000−1−i31+i32-21+i3−1−i3-220000000000000000000000
χ1764-44-400-20000−2i32i3222i3−2i3-20000-222-200001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i30000−3+i33−i3−1−i3−1−i33−i3−3+i31+i300001+i3−1−i3−1−i31+i30000-221−i3−1+i32-2−1+i31−i30000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i300003+i3−3−i3−1+i3−1+i3−3−i33+i31−i300001−i3−1+i3−1+i31−i300001+i3−1−i3-22−1−i31+i32-20000000000000000000000
χ1774-44-400-200002i3−2i322−2i32i3-200002-2-220000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i30000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i300003−i3−3+i3−1−i3−1−i3−3+i33−i31+i30000−1−i31+i31+i3−1−i30000−1+i31−i32-21−i3−1+i3-220000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−3−i33+i3−1+i3−1+i33+i3−3−i31−i30000−1+i31−i31−i3−1+i300002-2−1−i31+i3-221+i3−1−i30000000000000000000000
χ1784-44-400-200002i3−2i322−2i32i3-20000-222-200001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000000−2−2i32+2i3−2−2i32+2i3001+i300003−i3−3+i3−1−i3−1−i3−3+i33−i31+i300001+i3−1−i3−1−i31+i300001−i3−1+i3-22−1+i31−i32-20000000000000000000000−2+2i32−2i3−2+2i32−2i3001−i30000−3−i33+i3−1+i3−1+i33+i3−3−i31−i300001−i3−1+i3−1+i31−i30000-221+i3−1−i32-2−1−i31+i30000000000000000000000
χ1794-4-44-44-24-4-44222-2-2-2200000000-222-2000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i3000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i3000000000000000000000000000000
χ1804-4-44-44-2-444-4222-2-2-22000000002-2-22000000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i3000000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i3000000000000000000000000000000

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