Finite Group Databasebeta

← Group #13157394

Character table — Group #13157394

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111122222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212123636363611112222222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212363636361111222222222222222222222244444444444444444444444412121212121212121212121212121212121212121212121236363636
order122233444444666666121212121212121236661212121212121212121212121212121212121212444444441212121212121212121212121212121288883666331212121212126666661212121212121212366612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122424242436663312121212121266666612121212121212123666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−ii−i1-11-1ii−i−i11-1-1ii−i−i11-1-11-1i−i1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−ii−i1-11-1ii−i−i11-1-1ii−i−i11-1-11-1i−i1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−ii−i1-11-1ii−i−i11-1-1ii−i−i11-1-11-1i−i
χ101-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i−ii1-1-11ii−i−i11-1-1−i−iii-1-111-11−ii1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i−ii1-1-11ii−i−i11-1-1−i−iii-1-111-11−ii1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−ii−i−ii1-1-11ii−i−i11-1-1−i−iii-1-111-11−ii
χ111-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−iii−i-111-1−i−iii-1-111ii−i−i11-1-1-11−ii1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−iii−i-111-1−i−iii-1-111ii−i−i11-1-1-11−ii1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−iii−i-111-1−i−iii-1-111ii−i−i11-1-1-11−ii
χ121-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−ii-11-11−i−iii-1-111−i−iii-1-1111-1i−i1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−ii-11-11−i−iii-1-111−i−iii-1-1111-1i−i1-1-1111ii−i−i1-1-1-111-1-1iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ii−ii-11-11−i−iii-1-111−i−iii-1-1111-1i−i
χ131-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−ii−i-11-11ii−i−i-1-111ii−i−i-1-1111-1−ii1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−ii−i-11-11ii−i−i-1-111ii−i−i-1-1111-1−ii1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−ii−i-11-11ii−i−i-1-111ii−i−i-1-1111-1−ii
χ141-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−i−ii-111-1ii−i−i-1-111−i−iii11-1-1-11i−i1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−i−ii-111-1ii−i−i-1-111−i−iii11-1-1-11i−i1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiii−i−ii-111-1ii−i−i-1-111−i−iii11-1-1-11i−i
χ151-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−iii−i1-1-11−i−iii11-1-1ii−i−i-1-111-11i−i1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−iii−i1-1-11−i−iii11-1-1ii−i−i-1-111-11i−i1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−iii−i1-1-11−i−iii11-1-1ii−i−i-1-111-11i−i
χ161-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii1-11-1−i−iii11-1-1−i−iii11-1-11-1−ii1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii1-11-1−i−iii11-1-1−i−iii11-1-11-1−ii1-1-1111−i−iii1-1-1-111-1-1−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ii−ii1-11-1−i−iii11-1-1−i−iii11-1-11-1−ii
χ172222222-22-2-2-222222222-2-222-2-22222-2-2-2-22-22-2-2-2-2-222-2-222-2-200000000000000000000000000002222222-22-2-2-222222222-2-222-2-22222-2-2-2-22-22-2-2-2-2-222-2-222-2-200000000000000000000000000002222222-22-2-2-222222222-2-222-2-22222-2-2-2-22-22-2-2-2-2-222-2-222-2-20000000000000000000000000000
χ18222222-22-22-2-2222222-2-222-2-2222222-2-2-2-2-22-22-2-2-2-2-2-222-2-2220000000000000000000000000000222222-22-22-2-2222222-2-222-2-2222222-2-2-2-2-22-22-2-2-2-2-2-222-2-2220000000000000000000000000000222222-22-22-2-2222222-2-222-2-2222222-2-2-2-2-22-22-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-1000022222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-1000022222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ2022222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000011111111000022222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000011111111000022222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ2122222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i3000022222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i3000022222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2222222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i3000022222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i3000022222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2322222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000−i3i3−i3i3i3−i3i3−i3000022222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000−i3i3−i3i3i3−i3i3−i3000022222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000−i3i3−i3i3i3−i3i3−i30000
χ2422222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000i3−i3i3−i3−i3i3−i3i3000022222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000i3−i3i3−i3−i3i3−i3i3000022222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2522222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-111111111002200-2-200000000-1-1-1-11111000022222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-111111111002200-2-200000000-1-1-1-11111000022222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-111111111002200-2-200000000-1-1-1-111110000
χ2622222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-11111111100-2-20022000000001111-1-1-1-1000022222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-11111111100-2-20022000000001111-1-1-1-1000022222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-11111111100-2-20022000000001111-1-1-1-10000
χ272222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000002222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000002222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ282222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000002222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000002222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ292222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i30000000000002222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i30000000000002222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3000000000000
χ302222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i30000000000002222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i30000000000002222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3000000000000
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χ322222-12-22-22-2-2-12-12-1211221122-1-1-1-11-21-2-2-1-2-1111111-1-111-1-100000000i3−i3i3−i3−i3i3−i3i30000000000002222-12-22-22-2-2-12-12-1211221122-1-1-1-11-21-2-2-1-2-1111111-1-111-1-100000000i3−i3i3−i3−i3i3−i3i30000000000002222-12-22-22-2-2-12-12-1211221122-1-1-1-11-21-2-2-1-2-1111111-1-111-1-100000000i3−i3i3−i3−i3i3−i3i3000000000000
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χ9722222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i300−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i300−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i320000
χ9822222-12222222-12-12-122-1-122-1-1-1-1-1-12-12-1-12-12-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i3001−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i3001+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ9922222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i31−i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i321−i3−1+i321−i3−1+i321−i321−i31−i321−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000000000003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i31+i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i321+i3−1−i321+i3−1−i321+i321+i31+i321+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i320000
χ10022222-12-22-2-2-22-12-12-122112211-1-1-1-1-21-21-1-2-1-21111-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i31−i31−i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i321−i3−1+i321−i3−1+i321−i321−i31−i321−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i31+i31+i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i321+i3−1−i321+i3−1−i321+i321+i31+i321+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000000000003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i320000
χ10122222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000−i3i3−i3i3i3−i3i3−i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i31−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i31−i31−i321−i321−i321−i321−i321−i321−i3−1+i321−i3−1+i32−1+i32−1+i3−1+i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200000000000000003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i31+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i31+i31+i321+i321+i321+i321+i321+i321+i3−1−i321+i3−1−i32−1−i32−1−i3−1−i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i320000000000000000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i320000
χ10222222-1-22-22-2-22-12-12-1-2-2-1-1-2-2-1-1-1-1-1-1-21-211212111111-1-111-1-10000000000000000i3−i3i3−i3−i3i3−i3i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i31−i3−1+i31−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i31−i31−i321−i321−i321−i321−i321−i321−i3−1+i321−i3−1+i32−1+i32−1+i3−1+i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i320000000000000000−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i31+i3−1−i31+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i31+i31+i321+i321+i321+i321+i321+i321+i3−1−i321+i3−1−i32−1−i32−1−i3−1−i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200000000000000003−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i320000
χ10322222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-111111111002200-2-200000000-1-1-1-111110000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i321−i3−1+i321−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i3001−i31−i3000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i321+i3−1−i321+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i3001+i31+i3000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ10422222-1-2-2-2-2222-12-12-1-2-211-2-211-1-1-1-12-12-11-21-2-1-1-1-11111111100-2-20022000000001111-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i321−i3−1+i321−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32001−i31−i300−1+i3−1+i300000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i321+i3−1−i321+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32001+i31+i300−1−i3−1−i300000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ1052222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−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−i32−1+i3−1+i300−1+i3−1+i3001−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+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+i32−1−i3−1−i300−1−i3−1−i3001+i321+i321+i321+i321+i321+i321+i321+i32000000000000
χ1062222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−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−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+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+i321+i31+i3001+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000
χ1072222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000−i3i3−i3i3−i3i3−i3i3000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i31−i31−i321−i321−i321−i32−1+i321−i3−1+i321−i3−1+i3−1+i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i31+i31+i321+i321+i321+i32−1−i321+i3−1−i321+i3−1−i3−1−i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000000
χ1082222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i31−i31−i321−i321−i321−i32−1+i321−i3−1+i321−i3−1+i3−1+i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i31+i31+i321+i321+i321+i32−1−i321+i3−1−i321+i3−1−i3−1−i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000
χ1092222-12-22-22-2-2-12-12-1211221122-1-1-1-11-21-2-2-1-2-1111111-1-111-1-100000000−i3i3−i3i3i3−i3i3−i3000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i32−1+i321−i3−1+i321−i31−i31−i321−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i32−1−i321+i3−1−i321+i31+i31+i321+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200000000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i32000000000000
χ1102222-12-22-22-2-2-12-12-1211221122-1-1-1-11-21-2-2-1-2-1111111-1-111-1-100000000i3−i3i3−i3−i3i3−i3i3000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i3−1+i31−i3−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i321−i32−1+i321−i3−1+i321−i31−i31−i321−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i3200000000−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i3−1−i31+i3−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i321+i32−1−i321+i3−1−i321+i31+i31+i321+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000003−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i32000000000000
χ1112222-12-2-2-2-222-12-12-1211-2-211-2-2-1-1-1-1-12-12-21-21-1-1-1-1111111112200-2-200-1-1-1-11111000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i31−i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i3−1+i321−i3−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i31−i3001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i31+i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i3−1−i321+i3−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i31+i3001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000
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χ1152-2-222-12i2i−2i−2i2-2-212-1-212i2i−i−i−2i−2iii-1-1112-1-21−i2ii−2i-1-111−i−i−i−iiiii002i−2i002-200000000−i−iii-1-1110000−1+i31−i31−i3−1+i3−1+i31−i322ζ72ζ7−2ζ7−2ζ7−1+i31−i31−i3−1+i32−1+i31−i321−i3−1+i322ζ72ζ7−ζ7−ζ7−2ζ7−2ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i31−i321−i3−1+i32−ζ72ζ7ζ7−2ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7002ζ7−2ζ700−1+i31−i300000000−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i320000−1−i31+i31+i3−1−i3−1−i31+i322ζ112ζ11−2ζ11−2ζ11−1−i31+i31+i3−1−i32−1−i31+i321+i3−1−i322ζ112ζ11−ζ11−ζ11−2ζ11−2ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i31+i321+i3−1−i32−ζ112ζ11ζ11−2ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11002ζ11−2ζ1100−1−i31+i300000000−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i320000
χ1162-2-222-12i2i−2i−2i2-2-212-1-212i2i−i−i−2i−2iii-1-1112-1-21−i2ii−2i-1-111−i−i−i−iiiii00−2i2i00-2200000000ii−i−i11-1-10000−1+i31−i31−i3−1+i3−1+i31−i322ζ72ζ7−2ζ7−2ζ7−1+i31−i31−i3−1+i32−1+i31−i321−i3−1+i322ζ72ζ7−ζ7−ζ7−2ζ7−2ζ7ζ7ζ71−i321−i32−1+i32−1+i32−1+i31−i321−i3−1+i32−ζ72ζ7ζ7−2ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ700−2ζ72ζ7001−i3−1+i300000000ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i320000−1−i31+i31+i3−1−i3−1−i31+i322ζ112ζ11−2ζ11−2ζ11−1−i31+i31+i3−1−i32−1−i31+i321+i3−1−i322ζ112ζ11−ζ11−ζ11−2ζ11−2ζ11ζ11ζ111+i321+i32−1−i32−1−i32−1−i31+i321+i3−1−i32−ζ112ζ11ζ11−2ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ1100−2ζ112ζ11001+i3−1−i300000000ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i320000
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χ1842222-12222222-12-12-12-1-122-1-122-1-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+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+i321+i31+i3001+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−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−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
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χ1862222-122-22-2-2-2-12-12-12-1-1-2-2-1-1-2-2-1-1-1-11-21-221211111-1-111-1-11100000000i3−i3i3−i3i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i3−1−i31+i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i31+i31+i321+i321+i321+i32−1−i321+i3−1−i321+i3−1−i3−1−i32−1−i3−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i3−1+i31−i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i31−i31−i321−i321−i321−i32−1+i321−i3−1+i321−i3−1+i3−1+i32−1+i3−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.