Finite Group Databasebeta

← Group #13157376

Character table — Group #13157376

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111122222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212123636363611112222222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212363636361111222222222222222222222244444444444444444444444412121212121212121212121212121212121212121212121236363636
order12223344444466666612121212121212123666121212121212121212121212121212121212121222446666888812121212242424242424242444443666331212121212126666661212121212121212366612121212121212121212121212121212121212126612126666242424241212121224242424242424241212121236663312121212121266666612121212121212123666121212121212121212121212121212121212121266121266662424242412121212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111
χ8111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ91-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-11-1i−iii−i−i11-1-1ii−i−i1-1i−i1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-11-1i−iii−i−i11-1-1ii−i−i1-1i−i1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-11-1i−iii−i−i11-1-1ii−i−i1-1i−i
χ101-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1-11−iiii−i−i-1-111−i−iii-11−ii1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1-11−iiii−i−i-1-111−i−iii-11−ii1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1-11−iiii−i−i-1-111−i−iii-11−ii
χ111-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i-11−ii-1-1111-1i−i−i−iii11-1-1ii−i−i-11−ii1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i-11−ii-1-1111-1i−i−i−iii11-1-1ii−i−i-11−ii1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i-11−ii-1-1111-1i−i−i−iii11-1-1ii−i−i-11−ii
χ121-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i-11−ii-1-111-11−ii−i−iii-1-111−i−iii1-1i−i1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i-11−ii-1-111-11−ii−i−iii-1-111−i−iii1-1i−i1-11-111i−ii−i1-11-1-11-1-1ii−i−i11-1-111-1-11-1iii−i−i−i11-1-1iiii−i−i−i−i-11−ii-1-111-11−ii−i−iii-1-111−i−iii1-1i−i
χ131-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii1-1−ii11-1-11-1−ii−i−iii11-1-1−i−iii1-1−ii1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii1-1−ii11-1-11-1−ii−i−iii11-1-1−i−iii1-1−ii1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii1-1−ii11-1-11-1−ii−i−iii11-1-1−i−iii1-1−ii
χ141-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii1-1−ii11-1-1-11i−i−i−iii-1-111ii−i−i-11i−i1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii1-1−ii11-1-1-11i−i−i−iii-1-111ii−i−i-11i−i1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii1-1−ii11-1-1-11i−i−i−iii-1-111ii−i−i-11i−i
χ151-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii-11i−i-1-1111-1−iiii−i−i11-1-1−i−iii-11i−i1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii-11i−i-1-1111-1−iiii−i−i11-1-1−i−iii-11i−i1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii-11i−i-1-1111-1−iiii−i−i11-1-1−i−iii-11i−i
χ161-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii-11i−i-1-111-11i−iii−i−i-1-111ii−i−i1-1−ii1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii-11i−i-1-111-11i−iii−i−i-1-111ii−i−i1-1−ii1-11-111−ii−ii1-11-1-11-1-1−i−iii11-1-111-1-11-1−i−i−iiii11-1-1−i−i−i−iiiii-11i−i-1-111-11i−iii−i−i-1-111ii−i−i1-1−ii
χ1722222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-222-222-2-2-2-2-222-2-222-2-2000000000000000000000000000022222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-222-222-2-2-2-2-222-2-222-2-2000000000000000000000000000022222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-222-222-2-2-2-2-222-2-222-2-20000000000000000000000000000
χ18222222-2-222-2-22222222222-2-2-2-22222-2-2-2-22-2-22-2-2-2-2-2-222-2-2220000000000000000000000000000222222-2-222-2-22222222222-2-2-2-22222-2-2-2-22-2-22-2-2-2-2-2-222-2-2220000000000000000000000000000222222-2-222-2-22222222222-2-2-2-22222-2-2-2-22-2-22-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-100000000000022222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-100000000000022222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000000000
χ2022222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000111100000000000022222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000111100000000000022222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100001111000000000000
χ2122222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000−i3i3−i3i30000−i3i3−i3i300000000000022222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000−i3i3−i3i30000−i3i3−i3i300000000000022222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000−i3i3−i3i30000−i3i3−i3i3000000000000
χ2222222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000i3−i3i3−i30000i3−i3i3−i300000000000022222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000i3−i3i3−i30000i3−i3i3−i300000000000022222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000i3−i3i3−i30000i3−i3i3−i3000000000000
χ2322222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000−i3i3−i3i30000i3−i3i3−i300000000000022222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000−i3i3−i3i30000i3−i3i3−i300000000000022222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000−i3i3−i3i30000i3−i3i3−i3000000000000
χ2422222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i300000000000022222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i300000000000022222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i3000000000000
χ2522222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-11111111122-2-2-1-1-1-10000111100000000000022222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-11111111122-2-2-1-1-1-10000111100000000000022222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-11111111122-2-2-1-1-1-100001111000000000000
χ2622222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-111111111-2-22211110000-1-1-1-100000000000022222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-111111111-2-22211110000-1-1-1-100000000000022222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-111111111-2-22211110000-1-1-1-1000000000000
χ272222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100002222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100002222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000
χ282222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100002222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100002222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000111111110000
χ292222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-11100000000000000003−33−33−33−300002222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-11100000000000000003−33−33−33−300002222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-11100000000000000003−33−33−33−30000
χ302222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-1110000000000000000−33−33−33−3300002222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-1110000000000000000−33−33−33−3300002222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-1110000000000000000−33−33−33−330000
χ312222-12-2-222-2-2-1-1-122222221111-1-1-1-1-2-21-2-11-2-1111111-1-111-1-100000000000000003−33−3−33−3300002222-12-2-222-2-2-1-1-122222221111-1-1-1-1-2-21-2-11-2-1111111-1-111-1-100000000000000003−33−3−33−3300002222-12-2-222-2-2-1-1-122222221111-1-1-1-1-2-21-2-11-2-1111111-1-111-1-100000000000000003−33−3−33−330000
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χ332222-12-2-2-2-222-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1221-211-21-1-1-1-1111111110000000022-2-20000-1-1-1-1111100002222-12-2-2-2-222-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1221-211-21-1-1-1-1111111110000000022-2-20000-1-1-1-1111100002222-12-2-2-2-222-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1221-211-21-1-1-1-1111111110000000022-2-20000-1-1-1-111110000
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χ9722222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200001−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200001+i321+i321+i321+i32000000000000
χ9822222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100001111000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i32−1−i32−1−i32000000000000
χ9922222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000−i3i3−i3i30000−i3i3−i3i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i31−i321−i3−1+i31−i321−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−i3200003+i32−3−i323+i32−3−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i31+i321+i3−1−i31+i321+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−i320000−3+i323−i32−3+i323−i32000000000000
χ10022222-122-2-2-2-2222-1-1-11111-2-2-2-2-1-1-1-1112-1-22-1-21111-1-111-1-1110000i3−i3i3−i30000i3−i3i3−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i31−i321−i3−1+i31−i321−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+i320000−3−i323+i32−3−i323+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i31+i321+i3−1−i31+i321+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+i3200003−i32−3+i323−i32−3+i32000000000000
χ10122222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000−i3i3−i3i30000i3−i3i3−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−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+i321−i3−1+i32−1+i31−i3−1+i32−1+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−i320000−3−i323+i32−3−i323+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+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−i321+i3−1−i32−1−i31+i3−1−i32−1−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−i3200003−i32−3+i323−i32−3+i32000000000000
χ10222222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−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+i321−i3−1+i32−1+i31−i3−1+i32−1+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+i3200003+i32−3−i323+i32−3−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+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−i321+i3−1−i32−1−i31+i3−1−i32−1−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+i320000−3+i323−i32−3+i323−i32000000000000
χ10322222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-11111111122-2-2-1-1-1-100001111000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i321−i31−i3−1+i321−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−i320000−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i321+i31+i3−1−i321+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+i320000−1−i32−1−i32−1−i32−1−i32000000000000
χ10422222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-111111111-2-22211110000-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i321−i31−i3−1+i321−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+i3200001−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i321+i31+i3−1−i321+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−i3200001+i321+i321+i321+i32000000000000
χ1052222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i320000
χ1062222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000111111110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000001−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000001+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ1072222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-11100000000000000003−33−33−33−30000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i31−i31−i32−1+i3−1+i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i31+i31+i32−1−i3−1−i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000000000002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
χ1082222-1222-2-2-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-2-121-1211111-1-111-1-1110000000000000000−33−33−33−330000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i31−i31−i32−1+i3−1+i321−i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i31+i31+i32−1−i3−1−i321+i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000
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χ1102222-12-2-222-2-2-1-1-122222221111-1-1-1-1-2-21-2-11-2-1111111-1-111-1-10000000000000000−33−333−33−30000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i31−i3−1+i321−i31−i32−1+i321−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i320000000000000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i31+i3−1−i321+i31+i32−1−i321+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i320000000000000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
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χ17522222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200001+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200001−i321−i321−i321−i32000000000000
χ17622222-1222222222-1-1-1-1-1-1-12222-1-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100001111000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−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+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+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−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i32−1+i32−1+i32000000000000
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χ18022222-1-2-222-2-2222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111-212-212111111-1-111-1-10000i3−i3i3−i30000−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+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−i321+i3−1−i32−1−i31+i3−1−i32−1−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+i320000−3+i323−i32−3+i323−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−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+i321−i3−1+i32−1+i31−i3−1+i32−1+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+i3200003+i32−3−i323+i32−3−i32000000000000
χ18122222-1-2-2-2-222222-1-1-111112222-1-1-1-1-1-1-21-2-21-2-1-1-1-11111111122-2-2-1-1-1-100001111000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i321+i31+i3−1−i321+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+i320000−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i321−i31−i3−1+i321−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−i320000−1+i32−1+i32−1+i32−1+i32000000000000
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χ1842222-12222222-1-1-12222222-1-1-1-1-1-1-1-122-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000111111110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000001+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000001−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.