Finite Group Databasebeta

← Group #13141201

Character table — Group #13141201

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111111333333333333333333333344444412121212121212121212121212121212121212121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order1233662266669918181818181818181818181818182266664444121212121212121218181818363636363636363636363636363636363636363636363636336666669999181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111−1−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
χ311111111111111111111111111111111111111111111111111111111111111111111111111−1+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
χ41111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-111-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32
χ61111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32
χ7111111111111−1−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+i3211111111−1−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
χ8111111111111−1−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+i32−1+i3211−1−i32−1+i321−1+i32−1+i32111−1−i3211−1−i32−1−i32
χ9111111111111−1−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−i321−1−i32−1+i3211−1−i3211−1−i32−1−i32−1+i321−1+i32−1+i3211
χ10111111111111−1−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+i32-1-1-1-1-1-111-1-11111-1-1-1-11+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+i321−i321−i321−i321−i321−i321−i32111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ11111111111111−1−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+i32-1-1-1-1-1-111-1-11111-1-1-1-11+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+i321−i321−i321−i321−i321−i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1+i3211−1−i32−1+i3211−i321−i32-1-11−1−i32-1-11+i321+i32
χ12111111111111−1−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+i32-1-1-1-1-1-111-1-11111-1-1-1-11+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1−i32−1+i3211−1−i32-1-11+i321+i32−1+i3211−i321−i32-1-1
χ13111111111111−1+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−i3211111111−1+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
χ14111111111111−1+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+i321−1+i32−1−i3211−1+i3211−1+i32−1+i32−1−i321−1−i32−1−i3211
χ15111111111111−1+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−i32−1−i3211−1+i32−1−i321−1−i32−1−i32111−1+i3211−1+i32−1+i32
χ16111111111111−1+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−i32-1-1-1-1-1-111-1-11111-1-1-1-11−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−i321+i321+i321+i321+i321+i321+i32111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ17111111111111−1+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−i32-1-1-1-1-1-111-1-11111-1-1-1-11−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1+i32−1−i3211−1+i32-1-11−i321−i32−1−i3211+i321+i32-1-1
χ18111111111111−1+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−i32-1-1-1-1-1-111-1-11111-1-1-1-11−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−i321+i321+i321+i321+i321+i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1−i3211−1+i32−1−i3211+i321+i32-1-11−1+i32-1-11−i321−i32
χ192-222-2-22-222-2-222222-2222-2-2-2-2-2-2-22-222-2-20000000000002-22-2000000000000000000000000-1-111-111-1-1-1-1-1111-11-1111-11-1
χ202-222-2-22-222-2-222222-2222-2-2-2-2-2-2-22-222-2-20000000000002-22-20000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ212-222-2-22-222-2-222222-2222-2-2-2-2-2-2-22-222-2-20000000000002-22-20000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ222-222-2-22-222-2-222222-2222-2-2-2-2-2-2-2-22-2-222000000000000-22-22000000000000000000000000-1-11-111-11-1-1-1-111-11-1111-11-11
χ232-222-2-22-222-2-222222-2222-2-2-2-2-2-2-2-22-2-222000000000000-22-220000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ242-222-2-22-222-2-222222-2222-2-2-2-2-2-2-2-22-2-222000000000000-22-220000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ252-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31+i31+i31−i31−i31−i32-222-2-2000000000000−1−i31+i3−1+i31−i3000000000000000000000000-1-111-111-11+i321−i321+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ262-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31+i31+i31−i31−i31−i32-222-2-2000000000000−1−i31+i3−1+i31−i30000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32-1-11+i32−1+i321−1+i321−i321-11−1−i321-1−1−i321+i32
χ272-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31+i31+i31−i31−i31−i32-222-2-2000000000000−1−i31+i3−1+i31−i30000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32-11+i321−i32-11−1−i321-1−1−i321+i32−1+i321−1+i321−i321-1
χ282-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31+i31+i31−i31−i31−i3-22-2-2220000000000001+i3−1−i31−i3−1+i3000000000000000000000000-1-11-111-111+i321−i321+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ292-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31+i31+i31−i31−i31−i3-22-2-2220000000000001+i3−1−i31−i3−1+i30000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32-1-11+i32−1+i3211−i32−1+i32-111−1−i32-111+i32−1−i32
χ302-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i3−1+i3−1+i3−1+i31−i31+i31+i31+i31−i31−i31−i3-22-2-2220000000000001+i3−1−i31−i3−1+i30000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32-11+i321−i32-11−1−i32-111+i32−1−i32−1+i3211−i32−1+i32-11
χ312-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31−i31−i31+i31+i31+i32-222-2-2000000000000−1+i31−i3−1−i31+i3000000000000000000000000-1-111-111-11−i321+i321−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ322-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31−i31−i31+i31+i31+i32-222-2-2000000000000−1+i31−i3−1−i31+i30000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32-11−i321+i32-11−1+i321-1−1+i321−i32−1−i321−1−i321+i321-1
χ332-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31−i31−i31+i31+i31+i32-222-2-2000000000000−1+i31−i3−1−i31+i30000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32-1-11−i32−1−i321−1−i321+i321-11−1+i321-1−1+i321−i32
χ342-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31−i31−i31+i31+i31+i3-22-2-2220000000000001−i3−1+i31+i3−1−i3000000000000000000000000-1-11-111-111−i321+i321−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ352-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31−i31−i31+i31+i31+i3-22-2-2220000000000001−i3−1+i31+i3−1−i30000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32-11−i321+i32-11−1+i32-111−i32−1+i32−1−i3211+i32−1−i32-11
χ362-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i3−1−i3−1−i3−1−i31+i31−i31−i31−i31+i31+i31+i3-22-2-2220000000000001−i3−1+i31+i3−1−i30000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32-1-11−i32−1−i3211+i32−1−i32-111−1+i32-111−i32−1+i32
χ373333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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χ866-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i3004ζ14+4ζ26−4ζ26−4ζ140−4ζ224ζ22+4ζ34−4ζ340−4ζ14−4ζ264ζ264ζ144ζ22−4ζ22−4ζ344ζ3400000000-2200001+i3−1−i31−i3−1+i300000000000000002ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ26−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ342ζ22−2ζ22000000000000000000000000
χ876-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ26−4ζ144ζ14+4ζ260−4ζ34−4ζ224ζ22+4ζ3404ζ264ζ14−4ζ14−4ζ264ζ344ζ22−4ζ22−4ζ34000000002-20000−1−i31+i3−1+i31−i300000000000000002ζ14+2ζ26−2ζ14−2ζ26−2ζ262ζ26−2ζ142ζ14−2ζ222ζ222ζ22+2ζ34−2ζ22−2ζ34−2ζ342ζ34000000000000000000000000
χ886-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ26−4ζ144ζ14+4ζ260−4ζ34−4ζ224ζ22+4ζ3404ζ264ζ14−4ζ14−4ζ264ζ344ζ22−4ζ22−4ζ3400000000-2200001+i3−1−i31−i3−1+i30000000000000000−2ζ14−2ζ262ζ14+2ζ262ζ26−2ζ262ζ14−2ζ142ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ342ζ34−2ζ34000000000000000000000000
χ896-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ144ζ14+4ζ26−4ζ2604ζ22+4ζ34−4ζ34−4ζ2204ζ14−4ζ14−4ζ264ζ26−4ζ22−4ζ344ζ344ζ22000000002-20000−1−i31+i3−1+i31−i30000000000000000−2ζ262ζ26−2ζ142ζ142ζ14+2ζ26−2ζ14−2ζ26−2ζ342ζ34−2ζ222ζ222ζ22+2ζ34−2ζ22−2ζ34000000000000000000000000
χ906-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ144ζ14+4ζ26−4ζ2604ζ22+4ζ34−4ζ34−4ζ2204ζ14−4ζ14−4ζ264ζ26−4ζ22−4ζ344ζ344ζ2200000000-2200001+i3−1−i31−i3−1+i300000000000000002ζ26−2ζ262ζ14−2ζ14−2ζ14−2ζ262ζ14+2ζ262ζ34−2ζ342ζ22−2ζ22−2ζ22−2ζ342ζ22+2ζ34000000000000000000000000
χ916-6−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i300000000000000006-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000
χ926-6−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i30000000000000000-663−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000
χ936-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ22−4ζ344ζ22+4ζ340−4ζ264ζ14+4ζ26−4ζ1404ζ224ζ34−4ζ22−4ζ344ζ26−4ζ14−4ζ264ζ14000000002-20000−1+i31−i3−1−i31+i300000000000000002ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ342ζ342ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14−2ζ262ζ26000000000000000000000000
χ946-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ22−4ζ344ζ22+4ζ340−4ζ264ζ14+4ζ26−4ζ1404ζ224ζ34−4ζ22−4ζ344ζ26−4ζ14−4ζ264ζ1400000000-2200001−i3−1+i31+i3−1−i30000000000000000−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ34−2ζ34−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ142ζ26−2ζ26000000000000000000000000
χ956-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i3004ζ22+4ζ34−4ζ22−4ζ3404ζ14+4ζ26−4ζ14−4ζ260−4ζ22−4ζ344ζ224ζ34−4ζ14−4ζ264ζ144ζ26000000002-20000−1+i31−i3−1−i31+i30000000000000000−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ222ζ22−2ζ142ζ14−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26000000000000000000000000
χ966-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i3004ζ22+4ζ34−4ζ22−4ζ3404ζ14+4ζ26−4ζ14−4ζ260−4ζ22−4ζ344ζ224ζ34−4ζ14−4ζ264ζ144ζ2600000000-2200001−i3−1+i31+i3−1−i300000000000000002ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ22−2ζ222ζ14−2ζ142ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ26000000000000000000000000
χ976-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ344ζ22+4ζ34−4ζ220−4ζ14−4ζ264ζ14+4ζ2604ζ34−4ζ22−4ζ344ζ224ζ144ζ26−4ζ14−4ζ26000000002-20000−1+i31−i3−1−i31+i30000000000000000−2ζ222ζ22−2ζ342ζ342ζ22+2ζ34−2ζ22−2ζ34−2ζ262ζ262ζ14+2ζ26−2ζ14−2ζ26−2ζ142ζ14000000000000000000000000
χ986-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ344ζ22+4ζ34−4ζ220−4ζ14−4ζ264ζ14+4ζ2604ζ34−4ζ22−4ζ344ζ224ζ144ζ26−4ζ14−4ζ2600000000-2200001−i3−1+i31+i3−1−i300000000000000002ζ22−2ζ222ζ34−2ζ34−2ζ22−2ζ342ζ22+2ζ342ζ26−2ζ26−2ζ14−2ζ262ζ14+2ζ262ζ14−2ζ14000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.