Finite Group Databasebeta

← Group #13158534

Character table — Group #13158534

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size112222222444444444444444488888888121212121212121212121212242424242424363672112222222444444444444444488888888121212121212121212121212242424242424363672112222222444444444444444488888888121212121212121212121212242424242424363672
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χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
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
χ5111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1111-11-111-1-111-1-11-111-1-111-1111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1111-11-111-1-111-1-11-111-1-111-1111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1111-11-111-1-111-1-11-111-1-111-1
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χ73222-1222-1222-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i32000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i32000
χ74222-1222-1222-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i32000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i32000
χ75222-1222-12-2-2-1-12-2-2-2-2-1-1-122-1-1111111-1-10000000000002-2-1-111000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000−1+i31−i31−i321−i32−1+i32−1+i32000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000−1−i31+i31+i321+i32−1−i32−1−i32000
χ76222-1222-12-2-2-1-12-2-2-2-2-1-1-122-1-1111111-1-1000000000000-2211-1-1000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000001−i3−1+i3−1+i32−1+i321−i321−i32000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000001+i3−1−i3−1−i32−1−i321+i321+i32000
χ77222-12-2-2-122-2-1-1222-2-2-1-1-1-2-211-11-1-11111000000000000003−33−3000−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i31−i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i3−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i31+i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i3−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000
χ78222-12-2-2-122-2-1-1222-2-2-1-1-1-2-211-11-1-1111100000000000000−33−33000−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i31−i31−i321−i32−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i3−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i31+i31+i321+i32−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i3−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000
χ79222-12-2-2-12-22-1-12-2-222-1-1-1-2-2111-111-1-111000000000000003−3−33000−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i3−1+i31−i321−i32−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000000000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i3−1−i31+i321+i32−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000
χ80222-12-2-2-12-22-1-12-2-222-1-1-1-2-2111-111-1-11100000000000000−333−3000−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i3−1+i31−i321−i32−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000000000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i3−1−i31+i321+i32−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000000000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000
χ8122-2222-222002-2-20000-2-222-22-20000002-2020-2002200-2-2000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i300−1+i31−i31−i300001−i31−i3−1+i3−1+i31−i3−1+i31−i3000000−1+i31−i30−1+i301−i300−1+i3−1+i3001−i31−i3000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i300−1−i31+i31+i300001+i31+i3−1−i3−1−i31+i3−1−i31+i3000000−1−i31+i30−1−i301+i300−1−i3−1−i3001+i31+i3000000000
χ8222-2222-222002-2-20000-2-222-22-20000002-20-20200-2-20022000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i300−1+i31−i31−i300001−i31−i3−1+i3−1+i31−i3−1+i31−i3000000−1+i31−i301−i30−1+i3001−i31−i300−1+i3−1+i3000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i300−1−i31+i31+i300001+i31+i3−1−i3−1−i31+i3−1−i31+i3000000−1−i31+i301+i30−1−i3001+i31+i300−1−i3−1−i3000000000
χ8322-222-2222002-2-20000-2-22-22-22000000-2220-202200-2-200000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i300−1+i31−i31−i300001−i31−i3−1+i31−i3−1+i31−i3−1+i30000001−i3−1+i3−1+i301−i30−1+i3−1+i3001−i31−i300000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i300−1−i31+i31+i300001+i31+i3−1−i31+i3−1−i31+i3−1−i30000001+i3−1−i3−1−i301+i30−1−i3−1−i3001+i31+i300000000000
χ8422-222-2222002-2-20000-2-22-22-22000000-22-2020-2-2002200000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i300−1+i31−i31−i300001−i31−i3−1+i31−i3−1+i31−i3−1+i30000001−i3−1+i31−i30−1+i301−i31−i300−1+i3−1+i300000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i300−1−i31+i31+i300001+i31+i3−1−i31+i3−1−i31+i3−1−i30000001+i3−1−i31+i30−1−i301+i31+i300−1−i3−1−i300000000000
χ8522-22-12-22-100-1-21−i3i3−i3i311-1-112-200−i3i3−i3i3-11020-2−i3i3-1-1i3−i311000000000−1+i3−1+i31−i3−1+i31−i32−1+i31−i3−1+i31−i32001−i321−i3−1+i323+i32−3−i323+i32−3−i32−1+i32−1+i321−i321−i32−1+i32−1+i31−i3003+i32−3−i323+i32−3−i321−i32−1+i320−1+i301−i33+i32−3−i321−i321−i32−3−i323+i32−1+i32−1+i32000000000−1−i3−1−i31+i3−1−i31+i32−1−i31+i3−1−i31+i32001+i321+i3−1−i32−3+i323−i32−3+i323−i32−1−i32−1−i321+i321+i32−1−i32−1−i31+i300−3+i323−i32−3+i323−i321+i32−1−i320−1−i301+i3−3+i323−i321+i321+i323−i32−3+i32−1−i32−1−i32000000000
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χ116111111111-1-1111-1-1-1-11111111-1-1-1-1-1-111-11-11-1-111-1-111-11-1-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ11722222-2-2222-222222-2-2222-2-2-2-22-222-2-2-2-2000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000000
χ11822222-2-222-22222-2-222222-2-2-2-2-22-2-222-2-2000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000000000000000000
χ1192222-1222-122-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ1202222-1222-122-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-211111111000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000
χ1212222-1222-1-2-2-12-11111-1-1-1-1-122-2-21111-1-12-22-2-1-111-1-111000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000
χ1222222-1222-1-2-2-12-11111-1-1-1-1-122-2-21111-1-1-22-2211-1-111-1-1000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i31+i31+i32−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i31−i31−i32−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000
χ1232222-1-2-22-12-2-12-1-1-111-1-1-111-2-22-2-1-111110000−i3i3−i3i3−i3i3−i3i3000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i31+i32−1−i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i31−i32−1+i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i32000000000
χ1242222-1-2-22-12-2-12-1-1-111-1-1-111-2-22-2-1-111110000i3−i3i3−i3i3−i3i3−i3000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i31+i32−1−i31+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i32000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i31−i32−1+i31−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000
χ1252222-1-2-22-1-22-12-111-1-1-1-1-111-2-2-2211-1-1110000−i3i3i3−i3−i3i3i3−i3000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i3−1−i31+i32−1−i31+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i320000−3+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i3−1+i31−i32−1+i31−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i3200003+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i32000000000
χ1262222-1-2-22-1-22-12-111-1-1-1-1-111-2-2-2211-1-1110000i3−i3−i3i3i3−i3−i3i3000000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i321+i3−1−i31+i32−1−i31+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i3200003−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i32000000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i321−i3−1+i31−i32−1+i31−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i320000−3−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32000000000
χ127222-1222-1222-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1−i3−1−i31+i321+i321+i321+i32000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000−1+i3−1+i31−i321−i321−i321−i32000
χ128222-1222-1222-1-122222-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000001+i31+i3−1−i32−1−i32−1−i32−1−i32000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000001−i31−i3−1+i32−1+i32−1+i32−1+i32000
χ129222-1222-12-2-2-1-12-2-2-2-2-1-1-122-1-1111111-1-10000000000002-2-1-111000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000−1−i31+i31+i321+i32−1−i32−1−i32000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000−1+i31−i31−i321−i32−1+i32−1+i32000
χ130222-1222-12-2-2-1-12-2-2-2-2-1-1-122-1-1111111-1-1000000000000-2211-1-1000−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000001+i3−1−i3−1−i32−1−i321+i321+i32000−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000001−i3−1+i3−1+i32−1+i321−i321−i32000
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χ15644-4-2-2-44-2-2001222i3−2i3−2i32i3-1-112-22-200−i3i3i3−i3-11000000000000000000000−2−2i3−2−2i32+2i31+i31+i32+2i3−2−2i31+i31+i300−1−i32−1−i3−1−i33−i3−3+i3−3+i33−i31+i321+i32−1−i32−1−i31+i3−1−i31+i300−3+i323−i323−i32−3+i321+i32−1−i32000000000000000000000−2+2i3−2+2i32−2i31−i31−i32−2i3−2+2i31−i31−i300−1+i32−1+i3−1+i3−3−i33+i33+i3−3−i31−i321−i32−1+i32−1+i31−i3−1+i31−i3003+i32−3−i32−3−i323+i321−i32−1+i32000000000000000000000
χ1574-404400-4-400400000000-40000000000000000000000000000002-20−2−2i32+2i30−2−2i3−2−2i3002+2i32+2i300−2−2i3000000002+2i3000000000000000000000000000000−1−i31+i30−2+2i32−2i30−2+2i3−2+2i3002−2i32−2i300−2+2i3000000002−2i3000000000000000000000000000000−1+i31−i30
χ1584-404400-4-400400000000-4000000000000000000000000000000-220−2−2i32+2i30−2−2i3−2−2i3002+2i32+2i300−2−2i3000000002+2i30000000000000000000000000000001+i3−1−i30−2+2i32−2i30−2+2i3−2+2i3002−2i32−2i300−2+2i3000000002−2i30000000000000000000000000000001−i3−1+i30
χ1598-808-400-8400-4000000004000000000000000000000000000000000−4−4i34+4i30−4−4i32+2i3004+4i3−2−2i3002+2i300000000−2−2i3000000000000000000000000000000000−4+4i34−4i30−4+4i32−2i3004−4i3−2+2i3002−2i300000000−2+2i3000000000000000000000000000000000
χ1608-80-48004-800-4000000004000000000000000000000000000000000−4−4i34+4i302+2i3−4−4i300−2−2i34+4i3002+2i300000000−2−2i3000000000000000000000000000000000−4+4i34−4i302−2i3−4+4i300−2+2i34−4i3002−2i300000000−2+2i3000000000000000000000000000000000
χ1618-80-4-400440020000006-6-2000000000000000000000000000000000−4−4i34+4i302+2i32+2i300−2−2i3−2−2i300−1−i3000000−3−3i33+3i31+i3000000000000000000000000000000000−4+4i34−4i302−2i32−2i300−2+2i3−2+2i300−1+i3000000−3+3i33−3i31−i3000000000000000000000000000000000
χ1628-80-4-40044002000000-66-2000000000000000000000000000000000−4−4i34+4i302+2i32+2i300−2−2i3−2−2i300−1−i30000003+3i3−3−3i31+i3000000000000000000000000000000000−4+4i34−4i302−2i32−2i300−2+2i3−2+2i300−1+i30000003−3i3−3+3i31−i3000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.