Finite Group Databasebeta

← Group #13141205

Character table — Group #13141205

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111111333333333333333333333344444412121212121212121212121212121212121212121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order123366226666991818181818181818181818181818441212121244441212121212121212363636363636363636363636363636363636363636363636363636363366999912121212181818183636363636363636
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
χ41111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ61111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−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+i321111−1−i32−1+i32−1−i32−1+i321111−1−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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1+i321111−1−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−i321−1−i32−1+i321−1+i32−1+i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1−i32−1+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+i32-1-1-1-1-1-111-1-11111-1-1-1-1−1−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−i321111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−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+i32-1-1-1-1-1-111-1-11111-1-1-1-1−1−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−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i321+i321+i321−i321−i32−1+i3211−1−i321−i321−i32-1-1-1-11+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+i32-1-1-1-1-1-111-1-11111-1-1-1-1−1−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−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−i321−i321+i321+i321−1−i32−1+i321-1-11+i321+i321−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−i321111−1+i32−1−i32−1+i32−1−i321111−1+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+i321−1+i32−1−i321−1−i32−1−i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1+i32−1−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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1−i321111−1+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−i32-1-1-1-1-1-111-1-11111-1-1-1-1−1+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+i321111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+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−i32-1-1-1-1-1-111-1-11111-1-1-1-1−1+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+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211+i321+i321−i321−i321−1+i32−1−i321-1-11−i321−i321+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−i32-1-1-1-1-1-111-1-11111-1-1-1-1−1+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+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i321−i321−i321+i321+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i32
χ192-222-2-22-222-2-222222-2-2-2-2222-2-2-2-22i−2i2i2i−2i−2i0000000000000000000000000000002i−2i0000002i−2i-1-111-1-1-1-1i−ii−i1111i−ii−ii−ii−i
χ202-222-2-22-222-2-222222-2-2-2-2222-2-2-2-22i−2i2i2i−2i−2i0000000000000000000000000000002i−2i0000002i−2i1+i321−i32−1−i32−1+i321+i321+i321−i321−i32−ζ15ζ15−ζ3ζ3−1−i32−1−i32−1+i32−1+i32−ζ15ζ15−ζ15ζ15−ζ3ζ3−ζ3ζ3
χ212-222-2-22-222-2-222222-2-2-2-2222-2-2-2-22i−2i2i2i−2i−2i0000000000000000000000000000002i−2i0000002i−2i1−i321+i32−1+i32−1−i321−i321−i321+i321+i32−ζ3ζ3−ζ15ζ15−1+i32−1+i32−1−i32−1−i32−ζ3ζ3−ζ3ζ3−ζ15ζ15−ζ15ζ15
χ222-222-2-22-222-2-222222-2-2-2-2222-2-2-2-2−2i2i−2i−2i2i2i000000000000000000000000000000−2i2i000000−2i2i-1-111-1-1-1-1−ii−ii1111−ii−ii−ii−ii
χ232-222-2-22-222-2-222222-2-2-2-2222-2-2-2-2−2i2i−2i−2i2i2i000000000000000000000000000000−2i2i000000−2i2i1+i321−i32−1−i32−1+i321+i321+i321−i321−i32ζ15−ζ15ζ3−ζ3−1−i32−1−i32−1+i32−1+i32ζ15−ζ15ζ15−ζ15ζ3−ζ3ζ3−ζ3
χ242-222-2-22-222-2-222222-2-2-2-2222-2-2-2-2−2i2i−2i−2i2i2i000000000000000000000000000000−2i2i000000−2i2i1−i321+i32−1+i32−1−i321−i321−i321+i321+i32ζ3−ζ3ζ15−ζ15−1+i32−1+i32−1−i32−1−i32ζ3−ζ3ζ3−ζ3ζ15−ζ15ζ15−ζ15
χ252-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31−i32i−2i2i2i−2i−2i000000000000000000000000000000−2ζ152ζ15000000−2ζ32ζ3-1-1111+i321−i321+i321−i32i−ii−i−1−i32−1+i32−1−i32−1+i32−ζ15ζ15−ζ3ζ3−ζ15ζ15−ζ3ζ3
χ262-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31−i32i−2i2i2i−2i−2i000000000000000000000000000000−2ζ152ζ15000000−2ζ32ζ31+i321−i32−1−i32−1+i321−i32-1-11+i32−ζ15ζ15−ζ3ζ3−1+i3211−1−i32−ζ3ζ3i−ii−i−ζ15ζ15
χ272-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31−i32i−2i2i2i−2i−2i000000000000000000000000000000−2ζ152ζ15000000−2ζ32ζ31−i321+i32−1+i32−1−i32-11+i321−i32-1−ζ3ζ3−ζ15ζ151−1−i32−1+i321i−i−ζ15ζ15−ζ3ζ3i−i
χ282-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−2i2i−2i−2i2i2i0000000000000000000000000000002ζ15−2ζ150000002ζ3−2ζ3-1-1111+i321−i321+i321−i32−ii−ii−1−i32−1+i32−1−i32−1+i32ζ15−ζ15ζ3−ζ3ζ15−ζ15ζ3−ζ3
χ292-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−2i2i−2i−2i2i2i0000000000000000000000000000002ζ15−2ζ150000002ζ3−2ζ31+i321−i32−1−i32−1+i321−i32-1-11+i32ζ15−ζ15ζ3−ζ3−1+i3211−1−i32ζ3−ζ3−ii−iiζ15−ζ15
χ302-222-2-22-222-2-2−1−i3−1+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−2i2i−2i−2i2i2i0000000000000000000000000000002ζ15−2ζ150000002ζ3−2ζ31−i321+i32−1+i32−1−i32-11+i321−i32-1ζ3−ζ3ζ15−ζ151−1−i32−1+i321−iiζ15−ζ15ζ3−ζ3−ii
χ312-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31+i32i−2i2i2i−2i−2i000000000000000000000000000000−2ζ32ζ3000000−2ζ152ζ15-1-1111−i321+i321−i321+i32i−ii−i−1+i32−1−i32−1+i32−1−i32−ζ3ζ3−ζ15ζ15−ζ3ζ3−ζ15ζ15
χ322-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31+i32i−2i2i2i−2i−2i000000000000000000000000000000−2ζ32ζ3000000−2ζ152ζ151+i321−i32−1−i32−1+i32-11−i321+i32-1−ζ15ζ15−ζ3ζ31−1+i32−1−i321i−i−ζ3ζ3−ζ15ζ15i−i
χ332-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31+i32i−2i2i2i−2i−2i000000000000000000000000000000−2ζ32ζ3000000−2ζ152ζ151−i321+i32−1+i32−1−i321+i32-1-11−i32−ζ3ζ3−ζ15ζ15−1−i3211−1+i32−ζ15ζ15i−ii−i−ζ3ζ3
χ342-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−2i2i−2i−2i2i2i0000000000000000000000000000002ζ3−2ζ30000002ζ15−2ζ15-1-1111−i321+i321−i321+i32−ii−ii−1+i32−1−i32−1+i32−1−i32ζ3−ζ3ζ15−ζ15ζ3−ζ3ζ15−ζ15
χ352-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−2i2i−2i−2i2i2i0000000000000000000000000000002ζ3−2ζ30000002ζ15−2ζ151+i321−i32−1−i32−1+i32-11−i321+i32-1ζ15−ζ15ζ3−ζ31−1+i32−1−i321−iiζ3−ζ3ζ15−ζ15−ii
χ362-222-2-22-222-2-2−1+i3−1−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−2i2i−2i−2i2i2i0000000000000000000000000000002ζ3−2ζ30000002ζ15−2ζ151−i321+i32−1+i32−1−i321+i32-1-11−i32ζ3−ζ3ζ15−ζ15−1−i3211−1+i32ζ15−ζ15−ii−iiζ3−ζ3
χ373333333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-133000000000000000000000000
χ383333333333333333333333333333-3-3-3-3-3-3-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-3-3111111-3-3000000000000000000000000
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χ866-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i3004ζ14+4ζ26−4ζ26−4ζ140−4ζ14−4ζ264ζ264ζ14−4ζ224ζ22+4ζ34−4ζ3404ζ22−4ζ22−4ζ344ζ3400000000−2i2i00002ζ15−2ζ152ζ3−2ζ30000000000002ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ3500−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ72ζ31−2ζ3100000000000000000000000000
χ876-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ26−4ζ144ζ14+4ζ2604ζ264ζ14−4ζ14−4ζ26−4ζ34−4ζ224ζ22+4ζ3404ζ344ζ22−4ζ22−4ζ34000000002i−2i0000−2ζ152ζ15−2ζ32ζ30000000000002ζ23+2ζ35−2ζ23−2ζ35−2ζ352ζ35−2ζ232ζ2300−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ31−2ζ72ζ700000000000000000000000000
χ886-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ26−4ζ144ζ14+4ζ2604ζ264ζ14−4ζ14−4ζ26−4ζ34−4ζ224ζ22+4ζ3404ζ344ζ22−4ζ22−4ζ3400000000−2i2i00002ζ15−2ζ152ζ3−2ζ3000000000000−2ζ23−2ζ352ζ23+2ζ352ζ35−2ζ352ζ23−2ζ23002ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ312ζ7−2ζ700000000000000000000000000
χ896-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ144ζ14+4ζ26−4ζ2604ζ14−4ζ14−4ζ264ζ264ζ22+4ζ34−4ζ34−4ζ220−4ζ22−4ζ344ζ344ζ22000000002i−2i0000−2ζ152ζ15−2ζ32ζ3000000000000−2ζ352ζ35−2ζ232ζ232ζ23+2ζ35−2ζ23−2ζ3500−2ζ72ζ7−2ζ312ζ312ζ7+2ζ31−2ζ7−2ζ3100000000000000000000000000
χ906-6−3−3i3−3+3i33+3i33−3i3-221+i31−i3−1−i3−1+i300−4ζ144ζ14+4ζ26−4ζ2604ζ14−4ζ14−4ζ264ζ264ζ22+4ζ34−4ζ34−4ζ220−4ζ22−4ζ344ζ344ζ2200000000−2i2i00002ζ15−2ζ152ζ3−2ζ30000000000002ζ35−2ζ352ζ23−2ζ23−2ζ23−2ζ352ζ23+2ζ35002ζ7−2ζ72ζ31−2ζ31−2ζ7−2ζ312ζ7+2ζ3100000000000000000000000000
χ916-6−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i300000000000000006i−6i−6ζ3−6ζ156ζ36ζ150000000000000000000000000000000000000000000000000000000000000000
χ926-6−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i30000000000000000−6i6i6ζ36ζ15−6ζ3−6ζ150000000000000000000000000000000000000000000000000000000000000000
χ936-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ22−4ζ344ζ22+4ζ3404ζ224ζ34−4ζ22−4ζ34−4ζ264ζ14+4ζ26−4ζ1404ζ26−4ζ14−4ζ264ζ14000000002i−2i0000−2ζ32ζ3−2ζ152ζ150000000000002ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ31−2ζ72ζ7002ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ23−2ζ352ζ3500000000000000000000000000
χ946-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ22−4ζ344ζ22+4ζ3404ζ224ζ34−4ζ22−4ζ34−4ζ264ζ14+4ζ26−4ζ1404ζ26−4ζ14−4ζ264ζ1400000000−2i2i00002ζ3−2ζ32ζ15−2ζ15000000000000−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ312ζ7−2ζ700−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ232ζ35−2ζ3500000000000000000000000000
χ956-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i3004ζ22+4ζ34−4ζ22−4ζ340−4ζ22−4ζ344ζ224ζ344ζ14+4ζ26−4ζ14−4ζ260−4ζ14−4ζ264ζ144ζ26000000002i−2i0000−2ζ32ζ3−2ζ152ζ15000000000000−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ31−2ζ312ζ3100−2ζ232ζ23−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ3500000000000000000000000000
χ966-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i3004ζ22+4ζ34−4ζ22−4ζ340−4ζ22−4ζ344ζ224ζ344ζ14+4ζ26−4ζ14−4ζ260−4ζ14−4ζ264ζ144ζ2600000000−2i2i00002ζ3−2ζ32ζ15−2ζ150000000000002ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ312ζ31−2ζ31002ζ23−2ζ232ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ3500000000000000000000000000
χ976-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ344ζ22+4ζ34−4ζ2204ζ34−4ζ22−4ζ344ζ22−4ζ14−4ζ264ζ14+4ζ2604ζ144ζ26−4ζ14−4ζ26000000002i−2i0000−2ζ32ζ3−2ζ152ζ15000000000000−2ζ312ζ31−2ζ72ζ72ζ7+2ζ31−2ζ7−2ζ3100−2ζ352ζ352ζ23+2ζ35−2ζ23−2ζ35−2ζ232ζ2300000000000000000000000000
χ986-6−3+3i3−3−3i33−3i33+3i3-221−i31+i3−1+i3−1−i300−4ζ344ζ22+4ζ34−4ζ2204ζ34−4ζ22−4ζ344ζ22−4ζ14−4ζ264ζ14+4ζ2604ζ144ζ26−4ζ14−4ζ2600000000−2i2i00002ζ3−2ζ32ζ15−2ζ150000000000002ζ31−2ζ312ζ7−2ζ7−2ζ7−2ζ312ζ7+2ζ31002ζ35−2ζ35−2ζ23−2ζ352ζ23+2ζ352ζ23−2ζ2300000000000000000000000000

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