Finite Group Databasebeta

← Group #13172948

Character table — Group #13172948

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111122666688888888121212121212121211112266668888888812121212121212121111226666888888881212121212121212111122666688888888121212121212121211112266668888888812121212121212121111226666888888881212121212121212111122666688888888121212121212121211112266668888888812121212121212121111226666888888881212121212121212
order122244444436661212121222448888366612121212121236661212121266121224242424366612121212121236661212121266121224242424366612121212121236661212121266121224242424366612121212121236661212121266121224242424366612121212121236661212121266121224242424366612121212121236661212121266121224242424366612121212121236661212121266121224242424366612121212121236661212121266121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ51-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i
χ61-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii1-11-1i−ii−i1-111-1-1ii−i−i-11−ii-11−ii
χ71-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii
χ81-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i1-11-1−ii−ii1-111-1-1−i−iii-11i−i-11i−i
χ92222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-100000000
χ102222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-11111000000002222-2-2-2-222-1-1-1-1111100000000
χ112-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii000000002-22-22i−2i2i−2i2-2-1-111−i−iii00000000
χ122-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i00000000
χ13333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1
χ14333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111
χ153333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-1113333-3-311-1-10000000011-1-1-1-111
χ163333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-13333-3-311-1-100000000-1-11111-1-1
χ173-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii3-33-33i−3i−ii-11000000001-1i−i-11−ii
χ183-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i3-33-33i−3i−ii-1100000000-11−ii1-1i−i
χ193-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i3-33-3−3i3ii−i-11000000001-1−ii-11i−i
χ203-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii3-33-3−3i3ii−i-1100000000-11i−i1-1−ii
χ2144-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i30000000044-4-40000001-1-11−i3i3−i3i300000000
χ2244-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i30000000044-4-40000001-1-11i3−i3i3−i300000000
χ2344-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-200000000000044-4-4000000-222-2000000000000
χ244-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−33000000004-4-440000001-11-13−3−3300000000
χ254-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−3000000004-4-440000001-11-1−333−300000000
χ264-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-220000000000004-4-44000000-22-22000000000000
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χ28111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
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χ2192-22-22i−2i2i−2i2-2-1-111−i−iii00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i31+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i31−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ700000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i31+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ1100000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i31−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7000000002-22-22i−2i2i−2i2-2-1-111−i−iii00000000−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1+i31−i31−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7000000002-22-22i−2i2i−2i2-2-1-111−i−iii00000000−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1−i31+i31+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ1100000000
χ2202-22-2−2i2i−2i2i2-2-1-111ii−i−i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i31+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i31−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ700000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i31+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i31−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i00000000−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1+i31−i31−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7000000002-22-2−2i2i−2i2i2-2-1-111ii−i−i00000000−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1−i31+i31+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100000000
χ221333333-1-1-1-1000000001111-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32333333-1-1-1-1000000001111-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32333333-1-1-1-1000000001111-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ222333333-1-1-1-100000000-1-1-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32333333-1-1-1-100000000-1-1-1-11111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i32000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32333333-1-1-1-100000000-1-1-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i32000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ2233333-3-311-1-10000000011-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i323333-3-311-1-10000000011-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i323333-3-311-1-10000000011-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ2243333-3-311-1-100000000-1-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i323333-3-311-1-100000000-1-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i323333-3-311-1-100000000-1-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2253-33-33i−3i−ii-11000000001-1i−i-11−ii−3−3i323+3i32−3−3i323+3i323ζ11−3ζ11−ζ11ζ111+i32−1−i3200000000−1−i321+i32ζ11−ζ111+i32−1−i32−ζ11ζ11−3+3i323−3i32−3+3i323−3i323ζ7−3ζ7−ζ7ζ71−i32−1+i3200000000−1+i321−i32ζ7−ζ71−i32−1+i32−ζ7ζ7−3−3i323+3i32−3−3i323+3i323ζ11−3ζ11−ζ11ζ111+i32−1−i3200000000−1−i321+i32ζ11−ζ111+i32−1−i32−ζ11ζ11−3+3i323−3i32−3+3i323−3i323ζ7−3ζ7−ζ7ζ71−i32−1+i3200000000−1+i321−i32ζ7−ζ71−i32−1+i32−ζ7ζ73-33-33i−3i−ii-11000000001-1i−i-11−ii−3+3i323−3i32−3+3i323−3i323ζ7−3ζ7−ζ7ζ71−i32−1+i3200000000−1+i321−i32ζ7−ζ71−i32−1+i32−ζ7ζ73-33-33i−3i−ii-11000000001-1i−i-11−ii−3−3i323+3i32−3−3i323+3i323ζ11−3ζ11−ζ11ζ111+i32−1−i3200000000−1−i321+i32ζ11−ζ111+i32−1−i32−ζ11ζ11
χ2263-33-33i−3i−ii-1100000000-11−ii1-1i−i−3−3i323+3i32−3−3i323+3i323ζ11−3ζ11−ζ11ζ111+i32−1−i32000000001+i32−1−i32−ζ11ζ11−1−i321+i32ζ11−ζ11−3+3i323−3i32−3+3i323−3i323ζ7−3ζ7−ζ7ζ71−i32−1+i32000000001−i32−1+i32−ζ7ζ7−1+i321−i32ζ7−ζ7−3−3i323+3i32−3−3i323+3i323ζ11−3ζ11−ζ11ζ111+i32−1−i32000000001+i32−1−i32−ζ11ζ11−1−i321+i32ζ11−ζ11−3+3i323−3i32−3+3i323−3i323ζ7−3ζ7−ζ7ζ71−i32−1+i32000000001−i32−1+i32−ζ7ζ7−1+i321−i32ζ7−ζ73-33-33i−3i−ii-1100000000-11−ii1-1i−i−3+3i323−3i32−3+3i323−3i323ζ7−3ζ7−ζ7ζ71−i32−1+i32000000001−i32−1+i32−ζ7ζ7−1+i321−i32ζ7−ζ73-33-33i−3i−ii-1100000000-11−ii1-1i−i−3−3i323+3i32−3−3i323+3i323ζ11−3ζ11−ζ11ζ111+i32−1−i32000000001+i32−1−i32−ζ11ζ11−1−i321+i32ζ11−ζ11
χ2273-33-3−3i3ii−i-11000000001-1−ii-11i−i−3−3i323+3i32−3−3i323+3i32−3ζ113ζ11ζ11−ζ111+i32−1−i3200000000−1−i321+i32−ζ11ζ111+i32−1−i32ζ11−ζ11−3+3i323−3i32−3+3i323−3i32−3ζ73ζ7ζ7−ζ71−i32−1+i3200000000−1+i321−i32−ζ7ζ71−i32−1+i32ζ7−ζ7−3−3i323+3i32−3−3i323+3i32−3ζ113ζ11ζ11−ζ111+i32−1−i3200000000−1−i321+i32−ζ11ζ111+i32−1−i32ζ11−ζ11−3+3i323−3i32−3+3i323−3i32−3ζ73ζ7ζ7−ζ71−i32−1+i3200000000−1+i321−i32−ζ7ζ71−i32−1+i32ζ7−ζ73-33-3−3i3ii−i-11000000001-1−ii-11i−i−3+3i323−3i32−3+3i323−3i32−3ζ73ζ7ζ7−ζ71−i32−1+i3200000000−1+i321−i32−ζ7ζ71−i32−1+i32ζ7−ζ73-33-3−3i3ii−i-11000000001-1−ii-11i−i−3−3i323+3i32−3−3i323+3i32−3ζ113ζ11ζ11−ζ111+i32−1−i3200000000−1−i321+i32−ζ11ζ111+i32−1−i32ζ11−ζ11
χ2283-33-3−3i3ii−i-1100000000-11i−i1-1−ii−3−3i323+3i32−3−3i323+3i32−3ζ113ζ11ζ11−ζ111+i32−1−i32000000001+i32−1−i32ζ11−ζ11−1−i321+i32−ζ11ζ11−3+3i323−3i32−3+3i323−3i32−3ζ73ζ7ζ7−ζ71−i32−1+i32000000001−i32−1+i32ζ7−ζ7−1+i321−i32−ζ7ζ7−3−3i323+3i32−3−3i323+3i32−3ζ113ζ11ζ11−ζ111+i32−1−i32000000001+i32−1−i32ζ11−ζ11−1−i321+i32−ζ11ζ11−3+3i323−3i32−3+3i323−3i32−3ζ73ζ7ζ7−ζ71−i32−1+i32000000001−i32−1+i32ζ7−ζ7−1+i321−i32−ζ7ζ73-33-3−3i3ii−i-1100000000-11i−i1-1−ii−3+3i323−3i32−3+3i323−3i32−3ζ73ζ7ζ7−ζ71−i32−1+i32000000001−i32−1+i32ζ7−ζ7−1+i321−i32−ζ7ζ73-33-3−3i3ii−i-1100000000-11i−i1-1−ii−3−3i323+3i32−3−3i323+3i32−3ζ113ζ11ζ11−ζ111+i32−1−i32000000001+i32−1−i32ζ11−ζ11−1−i321+i32−ζ11ζ11
χ22944-4-40000001-1-11−i3i3−i3i300000000−2−2i3−2−2i32+2i32+2i3000000−1−i321+i321+i32−1−i32−3+i323−i32−3+i323−i3200000000−2+2i3−2+2i32−2i32−2i3000000−1+i321−i321−i32−1+i323+i32−3−i323+i32−3−i3200000000−2−2i3−2−2i32+2i32+2i3000000−1−i321+i321+i32−1−i32−3+i323−i32−3+i323−i3200000000−2+2i3−2+2i32−2i32−2i3000000−1+i321−i321−i32−1+i323+i32−3−i323+i32−3−i320000000044-4-40000001-1-11−i3i3−i3i300000000−2+2i3−2+2i32−2i32−2i3000000−1+i321−i321−i32−1+i323+i32−3−i323+i32−3−i320000000044-4-40000001-1-11−i3i3−i3i300000000−2−2i3−2−2i32+2i32+2i3000000−1−i321+i321+i32−1−i32−3+i323−i32−3+i323−i3200000000
χ23044-4-40000001-1-11i3−i3i3−i300000000−2−2i3−2−2i32+2i32+2i3000000−1−i321+i321+i32−1−i323−i32−3+i323−i32−3+i3200000000−2+2i3−2+2i32−2i32−2i3000000−1+i321−i321−i32−1+i32−3−i323+i32−3−i323+i3200000000−2−2i3−2−2i32+2i32+2i3000000−1−i321+i321+i32−1−i323−i32−3+i323−i32−3+i3200000000−2+2i3−2+2i32−2i32−2i3000000−1+i321−i321−i32−1+i32−3−i323+i32−3−i323+i320000000044-4-40000001-1-11i3−i3i3−i300000000−2+2i3−2+2i32−2i32−2i3000000−1+i321−i321−i32−1+i32−3−i323+i32−3−i323+i320000000044-4-40000001-1-11i3−i3i3−i300000000−2−2i3−2−2i32+2i32+2i3000000−1−i321+i321+i32−1−i323−i32−3+i323−i32−3+i3200000000
χ23144-4-4000000-222-2000000000000−2−2i3−2−2i32+2i32+2i30000001+i3−1−i3−1−i31+i3000000000000−2+2i3−2+2i32−2i32−2i30000001−i3−1+i3−1+i31−i3000000000000−2−2i3−2−2i32+2i32+2i30000001+i3−1−i3−1−i31+i3000000000000−2+2i3−2+2i32−2i32−2i30000001−i3−1+i3−1+i31−i300000000000044-4-4000000-222-2000000000000−2+2i3−2+2i32−2i32−2i30000001−i3−1+i3−1+i31−i300000000000044-4-4000000-222-2000000000000−2−2i3−2−2i32+2i32+2i30000001+i3−1−i3−1−i31+i3000000000000
χ2324-4-440000001-11-13−3−3300000000−2−2i32+2i32+2i3−2−2i3000000−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−2+2i32−2i32−2i3−2+2i3000000−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000−2−2i32+2i32+2i3−2−2i3000000−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−2+2i32−2i32−2i3−2+2i3000000−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000004-4-440000001-11-13−3−3300000000−2+2i32−2i32−2i3−2+2i3000000−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000004-4-440000001-11-13−3−3300000000−2−2i32+2i32+2i3−2−2i3000000−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ2334-4-440000001-11-1−333−300000000−2−2i32+2i32+2i3−2−2i3000000−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−2+2i32−2i32−2i3−2+2i3000000−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000−2−2i32+2i32+2i3−2−2i3000000−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−2+2i32−2i32−2i3−2+2i3000000−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000004-4-440000001-11-1−333−300000000−2+2i32−2i32−2i3−2+2i3000000−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000004-4-440000001-11-1−333−300000000−2−2i32+2i32+2i3−2−2i3000000−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ2344-4-44000000-22-22000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i31+i3−1−i3000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i31−i3−1+i3000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i31+i3−1−i3000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i31−i3−1+i30000000000004-4-44000000-22-22000000000000−2+2i32−2i32−2i3−2+2i30000001−i3−1+i31−i3−1+i30000000000004-4-44000000-22-22000000000000−2−2i32+2i32+2i3−2−2i30000001+i3−1−i31+i3−1−i3000000000000

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