Finite Group Databasebeta

← Group #13049581

Character table — Group #13049581

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size112444444449918181818181124444444499181818181811244444444991818181818112444444449918181818181124444444499181818181811244444444991818181818112444444449918181818181124444444499181818181811244444444991818181818
order12233666666444888836633666666121212242424243663366666612121224242424366336666661212122424242436633666666121212242424243663366666612121224242424366336666661212122424242436633666666121212242424243663366666612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i11111111111-1-1-1ii−i−i
χ411111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii11111111111-1-1-1−i−iii
χ511-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-111-11111-1-1-1-111-11-11-1
χ611-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-1111-11111-1-1-1-111-1-11-11
χ711-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii11-11111-1-1-1-1-1-11i−i−ii
χ811-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i11-11111-1-1-1-1-1-11−iii−i
χ92-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i000002-2022-2-200002i−2i00000
χ102-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i000002-2022-2-20000−2i2i00000
χ114441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-200000004441-21-211-2-20000000
χ12444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000444-21-21-2-2110000000
χ1344-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-122000000044-41-21-2-1-1220000000
χ1444-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-1000000044-4-21-2122-1-10000000
χ154-401-2-123-30000000004-401-2-123-30000000004-401-2-123-30000000004-401-2-123-30000000004-401-2-123-30000000004-401-2-123-30000000004-401-2-123-30000000004-401-2-123-30000000004-401-2-123-3000000000
χ164-401-2-12-330000000004-401-2-12-330000000004-401-2-12-330000000004-401-2-12-330000000004-401-2-12-330000000004-401-2-12-330000000004-401-2-12-330000000004-401-2-12-330000000004-401-2-12-33000000000
χ174-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-300000004-40-212-1003-30000000
χ184-40-212-100-3300000004-40-212-100-3300000004-40-212-100-3300000004-40-212-100-3300000004-40-212-100-3300000004-40-212-100-3300000004-40-212-100-3300000004-40-212-100-3300000004-40-212-100-330000000
χ19111111111111111111−1+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−i32111111111111111111−1+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−i32111111111111111111−1+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−i32
χ2011111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i3211111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i3211111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ2111111111111-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ1111111111111-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ1111111111111-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11
χ2211111111111-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ1111111111111-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ1111111111111-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11
χ2311-11111-1-1-1-111-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3211-11111-1-1-1-111-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3211-11111-1-1-1-111-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ2411-11111-1-1-1-111-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3211-11111-1-1-1-111-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3211-11111-1-1-1-111-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ2511-11111-1-1-1-1-1-11i−i−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ1111-11111-1-1-1-1-1-11i−i−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ1111-11111-1-1-1-1-1-11i−i−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ2611-11111-1-1-1-1-1-11−iii−i−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ1111-11111-1-1-1-1-1-11−iii−i−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ1111-11111-1-1-1-1-1-11−iii−i−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ272-2022-2-200002i−2i00000−1+i31−i30−1+i3−1+i31−i31−i300002ζ7−2ζ700000−1−i31+i30−1−i3−1−i31+i31+i300002ζ11−2ζ11000002-2022-2-200002i−2i00000−1+i31−i30−1+i3−1+i31−i31−i300002ζ7−2ζ700000−1−i31+i30−1−i3−1−i31+i31+i300002ζ11−2ζ11000002-2022-2-200002i−2i00000−1+i31−i30−1+i3−1+i31−i31−i300002ζ7−2ζ700000−1−i31+i30−1−i3−1−i31+i31+i300002ζ11−2ζ1100000
χ282-2022-2-20000−2i2i00000−1+i31−i30−1+i3−1+i31−i31−i30000−2ζ72ζ700000−1−i31+i30−1−i3−1−i31+i31+i30000−2ζ112ζ11000002-2022-2-20000−2i2i00000−1+i31−i30−1+i3−1+i31−i31−i30000−2ζ72ζ700000−1−i31+i30−1−i3−1−i31+i31+i30000−2ζ112ζ11000002-2022-2-20000−2i2i00000−1+i31−i30−1+i3−1+i31−i31−i30000−2ζ72ζ700000−1−i31+i30−1−i3−1−i31+i31+i30000−2ζ112ζ1100000
χ294441-21-211-2-20000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i30000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i300000004441-21-211-2-20000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i30000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i300000004441-21-211-2-20000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i30000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30000000
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χ3144-41-21-2-1-1220000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i30000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3000000044-41-21-2-1-1220000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i30000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3000000044-41-21-2-1-1220000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i30000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30000000
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χ14611111111111111-1-1-1-1−1−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−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+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−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+i321−i321−i321−i321−i3211111111111111-1-1-1-1−1+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+i321−i321−i321−i321−i3211111111111111-1-1-1-1−1−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−i321+i321+i321+i321+i32
χ14711111111111-1-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ711111111111-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ711111111111-1-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11
χ14811111111111-1-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ711111111111-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ711111111111-1-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11
χ14911-11111-1-1-1-111-11-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3211-11111-1-1-1-111-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3211-11111-1-1-1-111-11-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ15011-11111-1-1-1-111-1-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3211-11111-1-1-1-111-1-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3211-11111-1-1-1-111-1-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ15111-11111-1-1-1-1-1-11i−i−ii−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ711-11111-1-1-1-1-1-11i−i−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ711-11111-1-1-1-1-1-11i−i−ii−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ15211-11111-1-1-1-1-1-11−iii−i−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ711-11111-1-1-1-1-1-11−iii−i−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ711-11111-1-1-1-1-1-11−iii−i−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ1532-2022-2-200002i−2i00000−1−i31+i30−1−i3−1−i31+i31+i300002ζ11−2ζ1100000−1+i31−i30−1+i3−1+i31−i31−i300002ζ7−2ζ700000−1−i31+i30−1−i3−1−i31+i31+i300002ζ11−2ζ1100000−1+i31−i30−1+i3−1+i31−i31−i300002ζ7−2ζ7000002-2022-2-200002i−2i00000−1+i31−i30−1+i3−1+i31−i31−i300002ζ7−2ζ7000002-2022-2-200002i−2i00000−1−i31+i30−1−i3−1−i31+i31+i300002ζ11−2ζ1100000
χ1542-2022-2-20000−2i2i00000−1−i31+i30−1−i3−1−i31+i31+i30000−2ζ112ζ1100000−1+i31−i30−1+i3−1+i31−i31−i30000−2ζ72ζ700000−1−i31+i30−1−i3−1−i31+i31+i30000−2ζ112ζ1100000−1+i31−i30−1+i3−1+i31−i31−i30000−2ζ72ζ7000002-2022-2-20000−2i2i00000−1+i31−i30−1+i3−1+i31−i31−i30000−2ζ72ζ7000002-2022-2-20000−2i2i00000−1−i31+i30−1−i3−1−i31+i31+i30000−2ζ112ζ1100000
χ1554441-21-211-2-20000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i30000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i300000004441-21-211-2-20000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i300000004441-21-211-2-20000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30000000
χ156444-21-21-2-2110000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i320000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i320000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i320000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i320000000444-21-21-2-2110000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i320000000444-21-21-2-2110000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i320000000
χ15744-41-21-2-1-1220000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i30000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3000000044-41-21-2-1-1220000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3000000044-41-21-2-1-1220000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30000000
χ15844-4-21-2122-1-10000000−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i320000000−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i320000000−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i320000000−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32000000044-4-21-2122-1-10000000−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32000000044-4-21-2122-1-10000000−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i320000000
χ1594-401-2-123-3000000000−2−2i32+2i30−1−i321+i31+i32−1−i3−3−3i323+3i32000000000−2+2i32−2i30−1+i321−i31−i32−1+i3−3+3i323−3i32000000000−2−2i32+2i30−1−i321+i31+i32−1−i3−3−3i323+3i32000000000−2+2i32−2i30−1+i321−i31−i32−1+i3−3+3i323−3i320000000004-401-2-123-3000000000−2+2i32−2i30−1+i321−i31−i32−1+i3−3+3i323−3i320000000004-401-2-123-3000000000−2−2i32+2i30−1−i321+i31+i32−1−i3−3−3i323+3i32000000000
χ1604-401-2-12-33000000000−2−2i32+2i30−1−i321+i31+i32−1−i33+3i32−3−3i32000000000−2+2i32−2i30−1+i321−i31−i32−1+i33−3i32−3+3i32000000000−2−2i32+2i30−1−i321+i31+i32−1−i33+3i32−3−3i32000000000−2+2i32−2i30−1+i321−i31−i32−1+i33−3i32−3+3i320000000004-401-2-12-33000000000−2+2i32−2i30−1+i321−i31−i32−1+i33−3i32−3+3i320000000004-401-2-12-33000000000−2−2i32+2i30−1−i321+i31+i32−1−i33+3i32−3−3i32000000000
χ1614-40-212-1003-30000000−2−2i32+2i301+i3−1−i32−1−i31+i3200−3−3i323+3i320000000−2+2i32−2i301−i3−1+i32−1+i31−i3200−3+3i323−3i320000000−2−2i32+2i301+i3−1−i32−1−i31+i3200−3−3i323+3i320000000−2+2i32−2i301−i3−1+i32−1+i31−i3200−3+3i323−3i3200000004-40-212-1003-30000000−2+2i32−2i301−i3−1+i32−1+i31−i3200−3+3i323−3i3200000004-40-212-1003-30000000−2−2i32+2i301+i3−1−i32−1−i31+i3200−3−3i323+3i320000000
χ1624-40-212-100-330000000−2−2i32+2i301+i3−1−i32−1−i31+i32003+3i32−3−3i320000000−2+2i32−2i301−i3−1+i32−1+i31−i32003−3i32−3+3i320000000−2−2i32+2i301+i3−1−i32−1−i31+i32003+3i32−3−3i320000000−2+2i32−2i301−i3−1+i32−1+i31−i32003−3i32−3+3i3200000004-40-212-100-330000000−2+2i32−2i301−i3−1+i32−1+i31−i32003−3i32−3+3i3200000004-40-212-100-330000000−2−2i32+2i301+i3−1−i32−1−i31+i32003+3i32−3−3i320000000

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