Finite Group Databasebeta

← Group #13158341

Character table — Group #13158341

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225
size111122222222222222222222444444444444444444444444412121212121212121212121212121212121212121212121272721111222222222222222222224444444444444444444444444121212121212121212121212121212121212121212121212727211112222222222222222222244444444444444444444444441212121212121212121212121212121212121212121212127272
order1222223344666666666612121212346666666661212121212121212121212121212222266666666888824242424242424242436666633121266666666661212121231266666666612121212121212121212121212126666666666662424242424242424242424246123666663312126666666666121212123126666666661212121212121212121212121212666666666666242424242424242424242424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ61111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-111111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-111111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11
χ71111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-11
χ81111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111-11111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111-11111-1-111111111-1-1-1-11111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111-1
χ922222222-2-22222222222-2-2-2-22-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000022222222-2-22222222222-2-2-2-22-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000022222222-2-22222222222-2-2-2-22-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ102222222-12222-1-1-1-1-1-12-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000002222222-12222-1-1-1-1-1-12-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000002222222-12222-1-1-1-1-1-12-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ112222222-12222-1-1-1-1-1-12-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000002222222-12222-1-1-1-1-1-12-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000002222222-12222-1-1-1-1-1-12-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ122222222-1-2-222-1-1-1-1-1-12-1-2-2-2-2-1-222-1-1-1-1-1-1-111-2-211111111110000−i3−i3i3i3−i3−i3i3i3000000000000002222222-1-2-222-1-1-1-1-1-12-1-2-2-2-2-1-222-1-1-1-1-1-1-111-2-211111111110000−i3−i3i3i3−i3−i3i3i3000000000000002222222-1-2-222-1-1-1-1-1-12-1-2-2-2-2-1-222-1-1-1-1-1-1-111-2-211111111110000−i3−i3i3i3−i3−i3i3i300000000000000
χ132222222-1-2-222-1-1-1-1-1-12-1-2-2-2-2-1-222-1-1-1-1-1-1-111-2-211111111110000i3i3−i3−i3i3i3−i3−i3000000000000002222222-1-2-222-1-1-1-1-1-12-1-2-2-2-2-1-222-1-1-1-1-1-1-111-2-211111111110000i3i3−i3−i3i3i3−i3−i3000000000000002222222-1-2-222-1-1-1-1-1-12-1-2-2-2-2-1-222-1-1-1-1-1-1-111-2-211111111110000i3i3−i3−i3i3i3−i3−i300000000000000
χ14222222-1222-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-100222222-1222-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-100222222-1222-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-100
χ15222222-1222-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-21111111100222222-1222-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-21111111100222222-1222-1-1222222-12-1-1-1-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-21111111100
χ16222222-12-2-2-1-1222222-121111-1-2-1-1-1-1-1-1-1-1-1-2-211-2-211111111000000000000000033−3−333−3−300222222-12-2-2-1-1222222-121111-1-2-1-1-1-1-1-1-1-1-1-2-211-2-211111111000000000000000033−3−333−3−300222222-12-2-2-1-1222222-121111-1-2-1-1-1-1-1-1-1-1-1-2-211-2-211111111000000000000000033−3−333−3−300
χ17222222-12-2-2-1-1222222-121111-1-2-1-1-1-1-1-1-1-1-1-2-211-2-2111111110000000000000000−3−333−3−33300222222-12-2-2-1-1222222-121111-1-2-1-1-1-1-1-1-1-1-1-2-211-2-2111111110000000000000000−3−333−3−33300222222-12-2-2-1-1222222-121111-1-2-1-1-1-1-1-1-1-1-1-2-211-2-2111111110000000000000000−3−333−3−33300
χ182222-2-222-2-22222-2-2-2-222-2-2-2-222-2-222-2-2-2-22-2-22222-2-2-2-22222000000000000000000000000002222-2-222-2-22222-2-2-2-222-2-2-2-222-2-222-2-2-2-22-2-22222-2-2-2-22222000000000000000000000000002222-2-222-2-22222-2-2-2-222-2-2-2-222-2-222-2-2-2-22-2-22222-2-2-2-2222200000000000000000000000000
χ192222-2-22-12222-1-111112-12222-1-2-2-2-1-11111-1-1-1-2-211-1-1-1-1111122-2-2-1-1-1-11111000000000000002222-2-22-12222-1-111112-12222-1-2-2-2-1-11111-1-1-1-2-211-1-1-1-1111122-2-2-1-1-1-11111000000000000002222-2-22-12222-1-111112-12222-1-2-2-2-1-11111-1-1-1-2-211-1-1-1-1111122-2-2-1-1-1-1111100000000000000
χ202222-2-22-12222-1-111112-12222-1-2-2-2-1-11111-1-1-1-2-211-1-1-1-11111-2-2221111-1-1-1-1000000000000002222-2-22-12222-1-111112-12222-1-2-2-2-1-11111-1-1-1-2-211-1-1-1-11111-2-2221111-1-1-1-1000000000000002222-2-22-12222-1-111112-12222-1-2-2-2-1-11111-1-1-1-2-211-1-1-1-11111-2-2221111-1-1-1-100000000000000
χ212222-2-22-1-2-222-1-111112-1-2-2-2-2-12-2-2-1-11111-11122-1-11111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000002222-2-22-1-2-222-1-111112-1-2-2-2-2-12-2-2-1-11111-11122-1-11111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000002222-2-22-1-2-222-1-111112-1-2-2-2-2-12-2-2-1-11111-11122-1-11111-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ222222-2-22-1-2-222-1-111112-1-2-2-2-2-12-2-2-1-11111-11122-1-11111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000002222-2-22-1-2-222-1-111112-1-2-2-2-2-12-2-2-1-11111-11122-1-11111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000002222-2-22-1-2-222-1-111112-1-2-2-2-2-12-2-2-1-11111-11122-1-11111-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ232222-2-2-1222-1-122-2-2-2-2-12-1-1-1-1-1-211-1-11111-12211-2-2-1-1-1-1111100000000000022-2-2-1-1-1-11111002222-2-2-1222-1-122-2-2-2-2-12-1-1-1-1-1-211-1-11111-12211-2-2-1-1-1-1111100000000000022-2-2-1-1-1-11111002222-2-2-1222-1-122-2-2-2-2-12-1-1-1-1-1-211-1-11111-12211-2-2-1-1-1-1111100000000000022-2-2-1-1-1-1111100
χ242222-2-2-1222-1-122-2-2-2-2-12-1-1-1-1-1-211-1-11111-12211-2-2-1-1-1-11111000000000000-2-2221111-1-1-1-1002222-2-2-1222-1-122-2-2-2-2-12-1-1-1-1-1-211-1-11111-12211-2-2-1-1-1-11111000000000000-2-2221111-1-1-1-1002222-2-2-1222-1-122-2-2-2-2-12-1-1-1-1-1-211-1-11111-12211-2-2-1-1-1-11111000000000000-2-2221111-1-1-1-100
χ252222-2-2-12-2-2-1-122-2-2-2-2-121111-1211-1-11111-1-2-2-1-1221111-1-1-1-1000000000000000033−3−3−3−333002222-2-2-12-2-2-1-122-2-2-2-2-121111-1211-1-11111-1-2-2-1-1221111-1-1-1-1000000000000000033−3−3−3−333002222-2-2-12-2-2-1-122-2-2-2-2-121111-1211-1-11111-1-2-2-1-1221111-1-1-1-1000000000000000033−3−3−3−33300
χ262222-2-2-12-2-2-1-122-2-2-2-2-121111-1211-1-11111-1-2-2-1-1221111-1-1-1-10000000000000000−3−33333−3−3002222-2-2-12-2-2-1-122-2-2-2-2-121111-1211-1-11111-1-2-2-1-1221111-1-1-1-10000000000000000−3−33333−3−3002222-2-2-12-2-2-1-122-2-2-2-2-121111-1211-1-11111-1-2-2-1-1221111-1-1-1-10000000000000000−3−33333−3−300
χ272-22-200222-2-2-2-2-200002222-2-22000-2-2000022-2000022-2-20000002-200002-22-2000000000000002-22-200222-2-2-2-2-200002222-2-22000-2-2000022-2000022-2-20000002-200002-22-2000000000000002-22-200222-2-2-2-2-200002222-2-22000-2-2000022-2000022-2-20000002-200002-22-200000000000000
χ282-22-200222-2-2-2-2-200002222-2-22000-2-2000022-2000022-2-2000000-220000-22-22000000000000002-22-200222-2-2-2-2-200002222-2-22000-2-2000022-2000022-2-2000000-220000-22-22000000000000002-22-200222-2-2-2-2-200002222-2-22000-2-2000022-2000022-2-2000000-220000-22-2200000000000000
χ292-22-20022-22-2-2-2-2000022-2-2222000-2-200002-220000-2-22200002-2002-22-20000000000000000002-22-20022-22-2-2-2-2000022-2-2222000-2-200002-220000-2-22200002-2002-22-20000000000000000002-22-20022-22-2-2-2-2000022-2-2222000-2-200002-220000-2-22200002-2002-22-2000000000000000000
χ302-22-20022-22-2-2-2-2000022-2-2222000-2-200002-220000-2-2220000-2200-22-220000000000000000002-22-20022-22-2-2-2-2000022-2-2222000-2-200002-220000-2-2220000-2200-22-220000000000000000002-22-20022-22-2-2-2-2000022-2-2222000-2-200002-220000-2-2220000-2200-22-22000000000000000000
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χ1152-2-222-222002-22-22-22-2-2-20000202-22-22-22-2-200000000000000000000000000−22−22−22−22−22−2200−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i30000−1+i30−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i300000000000000000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i30000−1−i30−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i300000000000000000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ1162-2-222-2-1200-112-22-22-21-23−33−3-10-11-11-11-111003−3003−33−33−33−30000000000002−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300−1+i31−i31−i3−1+i3−1+i31−i31−i32−1+i3001−i32−1+i32−1+i31−i3−1+i31−i3−1+i31−i3−1+i321−i3−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i3201−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i3200−ζ14−2ζ22ζ14+2ζ2200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ1300−1−i31+i31+i3−1−i3−1−i31+i31+i32−1−i3001+i32−1−i32−1−i31+i3−1−i31+i3−1−i31+i3−1−i321+i32ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i3201+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32002ζ14+ζ22−2ζ14−ζ22002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ2300
χ1172-2-222-2-1200-112-22-22-21-23−33−3-10-11-11-11-111003−3003−33−33−33−3000000000000−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300−1+i31−i31−i3−1+i3−1+i31−i31−i32−1+i3001−i32−1+i32−1+i31−i3−1+i31−i3−1+i31−i3−1+i321−i3−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i3201−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i3200−ζ14−2ζ22ζ14+2ζ2200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ1300−1−i31+i31+i3−1−i3−1−i31+i31+i32−1−i3001+i32−1−i32−1−i31+i3−1−i31+i3−1−i31+i3−1−i321+i32ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i3201+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32002ζ14+ζ22−2ζ14−ζ22002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ2300
χ1182-2-222-2-1200-112-22-22-21-2−33−33-10-11-11-11-11100−3300−33−33−33−330000000000002−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700−1+i31−i31−i3−1+i3−1+i31−i31−i32−1+i3001−i32−1+i32−1+i31−i3−1+i31−i3−1+i31−i3−1+i321−i3ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ221−i3201−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i3200ζ14+2ζ22−ζ14−2ζ2200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ2300−1−i31+i31+i3−1−i3−1−i31+i31+i32−1−i3001+i32−1−i32−1−i31+i3−1−i31+i3−1−i31+i3−1−i321+i3−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ221+i3201+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i3200−2ζ14−ζ222ζ14+ζ2200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ2300
χ1192-2-222-2-1200-112-22-22-21-2−33−33-10-11-11-11-11100−3300−33−33−33−33000000000000−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700−1+i31−i31−i3−1+i3−1+i31−i31−i32−1+i3001−i32−1+i32−1+i31−i3−1+i31−i3−1+i31−i3−1+i321−i3ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ221−i3201−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i3200ζ14+2ζ22−ζ14−2ζ2200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ2300−1−i31+i31+i3−1−i3−1−i31+i31+i32−1−i3001+i32−1−i32−1−i31+i3−1−i31+i3−1−i31+i3−1−i321+i3−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ221+i3201+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i3200−2ζ14−ζ222ζ14+ζ2200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ2300
χ1202-2-22-2222002-22-2-22-22-2-2000020-222-2-22-22-2000000000000000000000000002−2−222−22−2−22−2200−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i30000−1+i301−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000000000000000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i30000−1−i301+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000000000000000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ1212-2-22-2222002-22-2-22-22-2-2000020-222-2-22-22-200000000000000000000000000−222−2−22−222−22−200−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i30000−1+i301−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i300000000000000000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i30000−1−i301+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i300000000000000000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300
χ1222-2-22-22-1200-112-2-22-221-23−33−3-101-1-111-11-1100−33003−33−3−33−330000000000002−2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i3001−i32−1+i32−1+i31−i31−i3−1+i31−i3−1+i3−1+i321−i3−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i320−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i3200ζ14+2ζ22−ζ14−2ζ2200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ1300−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i3001+i32−1−i32−1−i31+i31+i3−1−i31+i3−1−i3−1−i321+i32ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i320−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i3200−2ζ14−ζ222ζ14+ζ22002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ2300
χ1232-2-22-22-1200-112-2-22-221-23−33−3-101-1-111-11-1100−33003−33−3−33−33000000000000−222−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i3001−i32−1+i32−1+i31−i31−i3−1+i31−i3−1+i3−1+i321−i3−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i320−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i3200ζ14+2ζ22−ζ14−2ζ2200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ1300−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i3001+i32−1−i32−1−i31+i31+i3−1−i31+i3−1−i3−1−i321+i32ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i320−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i3200−2ζ14−ζ222ζ14+ζ22002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ2300
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.