Finite Group Databasebeta

← Group #13158528

Character table — Group #13158528

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444466666666888888888881212121212121212181818182424242424247211112222222222444444446666666688888888888121212121212121218181818242424242424721111222222222244444444666666668888888888812121212121212121818181824242424242472
order12223344666666366612121212888888882666666661212242424242424242444444412121212236663312126666663666121212122424242424242424666666666121224242424242424241212121212121212121263666331212666666366612121212242424242424242466666666612122424242424242424121212121212121212126
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-11-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1
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χ10222222-2-22222222222-2-2-2-200000000000000000-2-200000000-2-2220000000222222-2-22222222222-2-2-2-200000000000000000-2-200000000-2-2220000000222222-2-22222222222-2-2-2-200000000000000000-2-200000000-2-2220000000
χ1122222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-1022222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-1022222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-10
χ1222222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-20011022222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-20011022222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-200110
χ1322222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-20011022222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-20011022222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-200110
χ1422222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-1022222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-1022222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-10
χ152222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-10002222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-10002222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-1000
χ162222-1222-1-122-12-1-1-1-1-12-1222220000-211-2-21111-1-1-1-1-1-100000000-20110002222-1222-1-122-12-1-1-1-1-12-1222220000-211-2-21111-1-1-1-1-1-100000000-20110002222-1222-1-122-12-1-1-1-1-12-1222220000-211-2-21111-1-1-1-1-1-100000000-2011000
χ172222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-20110002222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-20110002222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-2011000
χ182222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-10002222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-10002222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-1000
χ1922-2-222002-22-2-2-222-2-20000−i2−i2i2i2−i2−i2i2i200000000000−i2−i2i2i2−i2−i2i2i2002-2000000022-2-222002-22-2-2-222-2-20000−i2−i2i2i2−i2−i2i2i200000000000−i2−i2i2i2−i2−i2i2i2002-2000000022-2-222002-22-2-2-222-2-20000−i2−i2i2i2−i2−i2i2i200000000000−i2−i2i2i2−i2−i2i2i2002-20000000
χ2022-2-222002-22-2-2-222-2-20000−i2−i2i2i2i2i2−i2−i200000000000−i2−i2i2i2i2i2−i2−i200-22000000022-2-222002-22-2-2-222-2-20000−i2−i2i2i2i2i2−i2−i200000000000−i2−i2i2i2i2i2−i2−i200-22000000022-2-222002-22-2-2-222-2-20000−i2−i2i2i2i2i2−i2−i200000000000−i2−i2i2i2i2i2−i2−i200-220000000
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χ2222-2-222002-22-2-2-222-2-20000i2i2−i2−i2i2i2−i2−i200000000000i2i2−i2−i2i2i2−i2−i2002-2000000022-2-222002-22-2-2-222-2-20000i2i2−i2−i2i2i2−i2−i200000000000i2i2−i2−i2i2i2−i2−i2002-2000000022-2-222002-22-2-2-222-2-20000i2i2−i2−i2i2i2−i2−i200000000000i2i2−i2−i2i2i2−i2−i2002-20000000
χ232-22-22200-22-22-2-22-22-20000−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i2−i2i22-20000000002-22-22200-22-22-2-22-22-20000−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i2−i2i22-20000000002-22-22200-22-22-2-22-22-20000−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i2−i2i22-2000000000
χ242-22-22200-22-22-2-22-22-20000−i2i2−i2i2i2−i2i2−i200000000000−i2i2−i2i2i2−i2i2−i2-220000000002-22-22200-22-22-2-22-22-20000−i2i2−i2i2i2−i2i2−i200000000000−i2i2−i2i2i2−i2i2−i2-220000000002-22-22200-22-22-2-22-22-20000−i2i2−i2i2i2−i2i2−i200000000000−i2i2−i2i2i2−i2i2−i2-22000000000
χ252-22-22200-22-22-2-22-22-20000i2−i2i2−i2−i2i2−i2i200000000000i2−i2i2−i2−i2i2−i2i2-220000000002-22-22200-22-22-2-22-22-20000i2−i2i2−i2−i2i2−i2i200000000000i2−i2i2−i2−i2i2−i2i2-220000000002-22-22200-22-22-2-22-22-20000i2−i2i2−i2−i2i2−i2i200000000000i2−i2i2−i2−i2i2−i2i2-22000000000
χ262-22-22200-22-22-2-22-22-20000i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i2i2−i22-20000000002-22-22200-22-22-2-22-22-20000i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i2i2−i22-20000000002-22-22200-22-22-2-22-22-20000i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i2i2−i22-2000000000
χ272-2-22222-2-2-2-2-2222-2-222-2-2200002-2-220000000002-200002-2-22000000000002-2-22222-2-2-2-2-2222-2-222-2-2200002-2-220000000002-200002-2-22000000000002-2-22222-2-2-2-2-2222-2-222-2-2200002-2-220000000002-200002-2-2200000000000
χ282-2-22222-2-2-2-2-2222-2-222-2-220000-222-20000000002-20000-222-2000000000002-2-22222-2-2-2-2-2222-2-222-2-220000-222-20000000002-20000-222-2000000000002-2-22222-2-2-2-2-2222-2-222-2-220000-222-20000000002-20000-222-200000000000
χ292-2-2222-22-2-2-2-2222-2-22-222-22-2-220000000000000-222-2-220000000000000002-2-2222-22-2-2-2-2222-2-22-222-22-2-220000000000000-222-2-220000000000000002-2-2222-22-2-2-2-2222-2-22-222-22-2-220000000000000-222-2-22000000000000000
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χ312-2-222-12-2-2-2112-1-111-121-2-100002-2-22000−i3i3−i3−i3i3i3-110000-111-100000000−i3i302-2-222-12-2-2-2112-1-111-121-2-100002-2-22000−i3i3−i3−i3i3i3-110000-111-100000000−i3i302-2-222-12-2-2-2112-1-111-121-2-100002-2-22000−i3i3−i3−i3i3i3-110000-111-100000000−i3i30
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χ332-2-222-12-2-2-2112-1-111-121-2-10000-222-2000−i3i3−i3−i3i3i3-1100001-1-1100000000i3−i302-2-222-12-2-2-2112-1-111-121-2-10000-222-2000−i3i3−i3−i3i3i3-1100001-1-1100000000i3−i302-2-222-12-2-2-2112-1-111-121-2-10000-222-2000−i3i3−i3−i3i3i3-1100001-1-1100000000i3−i30
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χ362-2-22-12-2211-2-2-12-111-112-1-22-2-2200000i3−i300i3−i3i3−i31-1-111-10000000000i3−i30002-2-22-12-2211-2-2-12-111-112-1-22-2-2200000i3−i300i3−i3i3−i31-1-111-10000000000i3−i30002-2-22-12-2211-2-2-12-111-112-1-22-2-2200000i3−i300i3−i3i3−i31-1-111-10000000000i3−i3000
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χ7122222-12222-1-12-1-1-1-1-12-12-100002222222-1-1-1-1-1-1-1-10000-1-1-1-100000200-1-10−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i3200000−1+i3001−i321−i320−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i3200000−1−i3001+i321+i320
χ7222222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-200110−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i321−i321−i321−i32000001−i300−1+i32−1+i320−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i320000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i321+i321+i321+i32000001+i300−1−i32−1−i320
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χ13222222-12222-1-12-1-1-1-1-12-12-100002222-2-2-2111111-1-10000-1-1-1-100000-200110−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i320000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i321+i321+i321+i32000001+i300−1−i32−1−i320−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i321−i321−i321−i32000001−i300−1+i32−1+i320
χ13322222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2222-1-1-1-1-1-1-1-10000111100000-200110−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i3200001+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32000001+i300−1−i32−1−i320−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i3200001−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32000001−i300−1+i32−1+i320
χ13422222-12222-1-12-1-1-1-1-12-12-10000-2-2-2-2-2-2-2111111-1-10000111100000200-1-10−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i3200001+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i32−1−i32−1−i32−1−i3200000−1−i3001+i321+i320−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i3200001−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i32−1+i32−1+i32−1+i3200000−1+i3001−i321−i320
χ1352222-1222-1-122-12-1-1-1-1-12-12222200002-1-122-1-1-1-1-1-1-1-1-1-10000000020-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1−i301+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1+i301−i321−i32000
χ1362222-1222-1-122-12-1-1-1-1-12-1222220000-211-2-21111-1-1-1-1-1-100000000-2011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i300001+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32000000001+i30−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i300001−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32000000001−i30−1+i32−1+i32000
χ1372222-1222-1-122-12-1-1-1-1-12-12-2-2-2-200002-1-122-1-1-1-1-1-1111100000000-2011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i31+i30000−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000001+i30−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i31−i30000−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000001−i30−1+i32−1+i32000
χ1382222-1222-1-122-12-1-1-1-1-12-12-2-2-2-20000-211-2-21111-1-111110000000020-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i31+i31+i31+i31+i300001+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1−i301+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i31−i31−i31−i31−i300001−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1+i301−i321−i32000
χ13922-2-222002-22-2-2-222-2-20000−i2−i2i2i2−i2−i2i2i200000000000−i2−i2i2i2−i2−i2i2i2002-20000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300−1−i31+i30000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300−1+i31−i30000000
χ14022-2-222002-22-2-2-222-2-20000−i2−i2i2i2i2i2−i2−i200000000000−i2−i2i2i2i2i2−i2−i200-220000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13001+i3−1−i30000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23001−i3−1+i30000000
χ14122-2-222002-22-2-2-222-2-20000i2i2−i2−i2−i2−i2i2i200000000000i2i2−i2−i2−i2−i2i2i200-220000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13001+i3−1−i30000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23001−i3−1+i30000000
χ14222-2-222002-22-2-2-222-2-20000i2i2−i2−i2i2i2−i2−i200000000000i2i2−i2−i2i2i2−i2−i2002-20000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300−1−i31+i30000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300−1+i31−i30000000
χ1432-22-22200-22-22-2-22-22-20000−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i2−i2i2−i2i22-2000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−i31+i3000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1+i31−i3000000000
χ1442-22-22200-22-22-2-22-22-20000−i2i2−i2i2i2−i2i2−i200000000000−i2i2−i2i2i2−i2i2−i2-22000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ131+i3−1−i3000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ231−i3−1+i3000000000
χ1452-22-22200-22-22-2-22-22-20000i2−i2i2−i2−i2i2−i2i200000000000i2−i2i2−i2−i2i2−i2i2-22000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ131+i3−1−i3000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ231−i3−1+i3000000000
χ1462-22-22200-22-22-2-22-22-20000i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i2i2−i2i2−i22-2000000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1−i31+i3000000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1+i31−i3000000000
χ1472-2-22222-2-2-2-2-2222-2-222-2-2200002-2-220000000002-200002-2-2200000000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000−1−i31+i31+i3−1−i3000000000−1−i31+i30000−1−i31+i31+i3−1−i300000000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000−1+i31−i31−i3−1+i3000000000−1+i31−i30000−1+i31−i31−i3−1+i300000000000
χ1482-2-22222-2-2-2-2-2222-2-222-2-220000-222-20000000002-20000-222-200000000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i3000000000−1−i31+i300001+i3−1−i3−1−i31+i300000000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i3000000000−1+i31−i300001−i3−1+i3−1+i31−i300000000000
χ1492-2-2222-22-2-2-2-2222-2-22-222-22-2-220000000000000-222-2-22000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000000001+i3−1−i3−1−i31+i31+i3−1−i3000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000000001−i3−1+i3−1+i31−i31−i3−1+i3000000000000000
χ1502-2-2222-22-2-2-2-2222-2-22-222-2-222-20000000000000-22-222-2000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300000000000001+i3−1−i31+i3−1−i3−1−i31+i3000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300000000000001−i3−1+i31−i3−1+i3−1+i31−i3000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.