Finite Group Databasebeta

← Group #13157583

Character table — Group #13157583

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order1222334466666636661212121241212121212121212121288882424242424242424441212121224436663312126666663666121212121212121212121212121212242424242424242424242424121212121212612123666331212666666366612121212121212121212121212121224242424242424242424242412121212121261212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-11-111-1-1-1-1-111111111111111111111111111111111111-1-11111-1-1-1-11-111-1-1-1-1-111111111111111111111111111111111111-1-11111-1-1-1-11-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-111-1-1-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-111-1-1-1-11111-11-1-111-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ1222222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-20110000022222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-20110000022222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-201100000
χ1322222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-20110000022222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-20110000022222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-201100000
χ1422222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111-2-2001111000020-1-10000022222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111-2-2001111000020-1-10000022222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111-2-2001111000020-1-100000
χ152222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100220000-1-1-1-10200-1-10002222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100220000-1-1-1-10200-1-10002222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100220000-1-1-1-10200-1-1000
χ162222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100-2-2000011110-200110002222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100-2-2000011110-200110002222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100-2-2000011110-20011000
χ172222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-200110002222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-200110002222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-20011000
χ182222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100-2-2000011110200-1-10002222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100-2-2000011110200-1-10002222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100-2-2000011110200-1-1000
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χ212-2-2222-22-22-2-2-222-22-2-2-22200000-2200002-20022-2-200000000000002-2-2222-22-22-2-2-222-22-2-2-22200000-2200002-20022-2-200000000000002-2-2222-22-22-2-2-222-22-2-2-22200000-2200002-20022-2-20000000000000
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χ252-2-222-1-22-2-1-2112-11-111-2-12000−331-1−3−3332-200-1-111000000−33000002-2-222-1-22-2-1-2112-11-111-2-12000−331-1−3−3332-200-1-111000000−33000002-2-222-1-22-2-1-2112-11-111-2-12000−331-1−3−3332-200-1-111000000−3300000
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χ272-2-22-122-2121-2-2-1-11-112-1-2103−300-113−33−3002i−2i0000−i−iii0000−i3i30002-2-22-122-2121-2-2-1-11-112-1-2103−300-113−33−3002i−2i0000−i−iii0000−i3i30002-2-22-122-2121-2-2-1-11-112-1-2103−300-113−33−3002i−2i0000−i−iii0000−i3i3000
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χ57111111111111111111111111111111111-1-111-1-1-1-11111-11-1-111-1-1-1−1+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+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+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−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ58111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+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+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−i321−i321−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−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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ591111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ601111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-11−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-11−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ621111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ63222222-2-22222222222-2-2-2-200000-2-200000000000000000000002-20−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000001−i31−i30000000000000000000000−1+i31−i30−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000001+i31+i30000000000000000000000−1−i31+i30
χ64222222-2-22222222222-2-2-2-200000-2-20000000000000000000000-220−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000001−i31−i300000000000000000000001−i3−1+i30−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000001+i31+i300000000000000000000001+i3−1−i30
χ6522222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-1000020-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i320000−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i320000−1−i301+i321+i3200000
χ6622222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-201100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i3200001−i30−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i3200001+i30−1−i32−1−i3200000
χ6722222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-201100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i321−i321−i321−i3200001−i30−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i321+i321+i321+i3200001+i30−1−i32−1−i3200000
χ6822222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111-2-2001111000020-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i320000−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i320000−1−i301+i321+i3200000
χ692222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100220000-1-1-1-10200-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i300001−i321−i321−i321−i320−1+i3001−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i300001+i321+i321+i321+i320−1−i3001+i321+i32000
χ702222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100-2-2000011110-20011000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i30000−1+i32−1+i32−1+i32−1+i3201−i300−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i30000−1−i32−1−i32−1−i32−1−i3201+i300−1−i32−1−i32000
χ712222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-20011000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i300001−i321−i321−i321−i3201−i300−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i300001+i321+i321+i321+i3201+i300−1−i32−1−i32000
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χ117222222-2-22222222222-2-2-2-200000-2-200000000000000000000002-20−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000001+i31+i30000000000000000000000−1−i31+i30−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000001−i31−i30000000000000000000000−1+i31−i30
χ118222222-2-22222222222-2-2-2-200000-2-20000000000000000000000-220−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000001+i31+i300000000000000000000001+i3−1−i30−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000001−i31−i300000000000000000000001−i3−1+i30
χ11922222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-1000020-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i320000−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i320000−1+i301−i321−i3200000
χ12022222-1222-12-1-12-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i3200001+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i3200001−i30−1+i32−1+i3200000
χ12122222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i321+i321+i321+i3200001+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i321−i321−i321−i3200001−i30−1+i32−1+i3200000
χ12222222-1222-12-1-12-1-1-1-1-12-12-2-2-211-1-11111-2-2001111000020-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i320000−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i320000−1+i301−i321−i3200000
χ1232222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100220000-1-1-1-10200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i300001+i321+i321+i321+i320−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i300001−i321−i321−i321−i320−1+i3001−i321−i32000
χ1242222-1222-12-122-1-1-1-1-12-12-12-1-122-1-1-1-1-1-100-2-2000011110-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i30000−1−i32−1−i32−1−i32−1−i3201+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i30000−1+i32−1+i32−1+i32−1+i3201−i300−1+i32−1+i32000
χ1252222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i300001+i321+i321+i321+i3201+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i300001−i321−i321−i321−i3201−i300−1+i32−1+i32000
χ1262222-1222-12-122-1-1-1-1-12-12-1-211-2-2-1-1111100-2-2000011110200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30000−1−i32−1−i32−1−i32−1−i320−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30000−1+i32−1+i32−1+i32−1+i320−1+i3001−i321−i32000
χ1272-2-22222-2-22-2-2-222-22-222-2-2000002-20000002i−2i00002i2i−2i−2i000000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000−1−i31+i30000002ζ22−2ζ2200002ζ222ζ22−2ζ22−2ζ22000000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000−1+i31−i30000002ζ14−2ζ1400002ζ142ζ14−2ζ14−2ζ14000000000
χ1282-2-22222-2-22-2-2-222-22-222-2-2000002-2000000−2i2i0000−2i−2i2i2i000000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000−1−i31+i3000000−2ζ222ζ220000−2ζ22−2ζ222ζ222ζ22000000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000−1+i31−i3000000−2ζ142ζ140000−2ζ14−2ζ142ζ142ζ14000000000
χ1292-2-2222-22-22-2-2-222-22-2-2-22200000-2200002-20022-2-20000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i30000−1−i31+i300−1−i3−1−i31+i31+i30000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i30000−1+i31−i300−1+i3−1+i31−i31−i30000000000000
χ1302-2-2222-22-22-2-2-222-22-2-2-22200000-220000-2200-2-2220000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i300001+i3−1−i3001+i31+i3−1−i3−1−i30000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i300001−i3−1+i3001−i31−i3−1+i3−1+i30000000000000
χ1312-2-222-1-22-2-1-2112-11-111-2-120003−31-133−3−32-200-1-1110000003−300000−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i31+i31+i321+i3−1−i32−1−i32−1−i31+i32−1−i321+i32−1−i32−1−i321+i31+i32−1−i30002ζ14+ζ22−2ζ14−ζ22−1−i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−1−i31+i3001+i321+i32−1−i32−1−i320000002ζ14+ζ22−2ζ14−ζ2200000−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i31−i31−i321−i3−1+i32−1+i32−1+i31−i32−1+i321−i32−1+i32−1+i321−i31−i32−1+i3000−ζ14−2ζ22ζ14+2ζ22−1+i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−1+i31−i3001−i321−i32−1+i32−1+i32000000−ζ14−2ζ22ζ14+2ζ2200000
χ1322-2-222-1-22-2-1-2112-11-111-2-120003−31-133−3−3-220011-1-1000000−3300000−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i31+i31+i321+i3−1−i32−1−i32−1−i31+i32−1−i321+i32−1−i32−1−i321+i31+i32−1−i30002ζ14+ζ22−2ζ14−ζ22−1−i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ221+i3−1−i300−1−i32−1−i321+i321+i32000000−2ζ14−ζ222ζ14+ζ2200000−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i31−i31−i321−i3−1+i32−1+i32−1+i31−i32−1+i321−i32−1+i32−1+i321−i31−i32−1+i3000−ζ14−2ζ22ζ14+2ζ22−1+i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ221−i3−1+i300−1+i32−1+i321−i321−i32000000ζ14+2ζ22−ζ14−2ζ2200000
χ1332-2-222-1-22-2-1-2112-11-111-2-12000−331-1−3−3332-200-1-111000000−3300000−1−i31+i31+i3−1−i3−1−i31+i321+i3−1−i31+i31+i321+i3−1−i32−1−i32−1−i31+i32−1−i321+i32−1−i32−1−i321+i31+i32−1−i3000−2ζ14−ζ222ζ14+ζ22−1−i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−1−i31+i3001+i321+i32−1−i32−1−i32000000−2ζ14−ζ222ζ14+ζ2200000−1+i31−i31−i3−1+i3−1+i31−i321−i3−1+i31−i31−i321−i3−1+i32−1+i32−1+i31−i32−1+i321−i32−1+i32−1+i321−i31−i32−1+i3000ζ14+2ζ22−ζ14−2ζ22−1+i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−1+i31−i3001−i321−i32−1+i32−1+i32000000ζ14+2ζ22−ζ14−2ζ2200000
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χ1604-4-44-2-2-442-2222-21-11-122-2-2000−2323-1133−3−3000000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i32+2i3−2−2i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i32−1−i3−1−i31+i31+i3000−4ζ14−2ζ224ζ14+2ζ221+i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i32−2i3−2+2i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i32−1+i3−1+i31−i31−i30002ζ14+4ζ22−2ζ14−4ζ221−i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000000000000
χ16188-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i32+2i300−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−1−i31+i31+i3−1−i3000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i32−2i300−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−1+i31−i31−i3−1+i3000000000000000000000000000000000000
χ1628-88-8-4-400-4444-4422-2-2000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i32+2i3002+2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i3−1−i3−1−i31+i31+i3000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i32−2i3002−2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i3−1+i3−1+i31−i31−i3000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.