Finite Group Databasebeta

← Group #14516342

Character table — Group #14516342

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222666666666666666666666666666666666666666666666666999999991818181818181818181818181818181818181818181818181818181818181818818181818181818181818181
order12443333666612121212121212129999999999991818181818181818181818183636363636363636363636363636363636363636363636363366121212129999999918181818181818183636363636363636363636363636363688882424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i32−1+i32−1+i32−1+i32−1+i32
χ411111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ511111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i32−1−i32−1−i32−1−i32−1−i32
χ611111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ711-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ811-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ911-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32ii−i−i−ζ30−ζ30ζ30ζ30−ζ6−ζ6ζ6ζ6
χ1011-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−i−iiiζ30ζ30−ζ30−ζ30ζ6ζ6−ζ6−ζ6
χ1111-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32ii−i−i−ζ6−ζ6ζ6ζ6−ζ30−ζ30ζ30ζ30
χ1211-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−i−iiiζ6ζ6−ζ6−ζ6ζ30ζ30−ζ30−ζ30
χ131-1i−i1111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39
χ141-1i−i1111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−ii−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39
χ151-1i−i1111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−1−i32−1+i321+i321−i32−ζ30ζ30−ζ6ζ6−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−ζ30−ζ30−ζ30−ζ30ζ30ζ30ζ30ζ30−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ21ζ21ζ39−ζ39−ζ69ζ69ζ15−ζ15
χ161-1i−i1111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−1−i32−1+i321+i321−i32−ζ30ζ30−ζ6ζ6−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−ζ30−ζ30−ζ30−ζ30ζ30ζ30ζ30ζ30−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ21−ζ21−ζ39ζ39ζ69−ζ69−ζ15ζ15
χ171-1i−i1111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−1+i32−1−i321−i321+i32−ζ6ζ6−ζ30ζ30−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ30−ζ30−ζ30−ζ30ζ30ζ30ζ30ζ30ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39−ζ69ζ69ζ15−ζ15−ζ21ζ21ζ39−ζ39
χ181-1i−i1111-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−1+i32−1−i321−i321+i32−ζ6ζ6−ζ30ζ30−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ30−ζ30−ζ30−ζ30ζ30ζ30ζ30ζ30−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39ζ69−ζ69−ζ15ζ15ζ21−ζ21−ζ39ζ39
χ191-1−ii1111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69
χ201-1−ii1111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69
χ211-1−ii1111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−1−i32−1+i321+i321−i32ζ30−ζ30ζ6−ζ6−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32ζ30ζ30ζ30ζ30−ζ30−ζ30−ζ30−ζ30ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ39−ζ39−ζ21ζ21ζ15−ζ15−ζ69ζ69
χ221-1−ii1111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−1−i32−1+i321+i321−i32ζ30−ζ30ζ6−ζ6−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32ζ30ζ30ζ30ζ30−ζ30−ζ30−ζ30−ζ30ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ39ζ39ζ21−ζ21−ζ15ζ15ζ69−ζ69
χ231-1−ii1111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−1+i32−1−i321−i321+i32ζ6−ζ6ζ30−ζ30−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ30ζ30ζ30ζ30−ζ30−ζ30−ζ30−ζ30−ζ15−ζ39ζ15+ζ39ζ21+ζ69−ζ21−ζ69ζ15−ζ15−ζ69ζ69ζ39−ζ39−ζ21ζ21
χ241-1−ii1111-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−1+i32−1−i321−i321+i32ζ6−ζ6ζ30−ζ30−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ30ζ30ζ30ζ30−ζ30−ζ30−ζ30−ζ30ζ15+ζ39−ζ15−ζ39−ζ21−ζ69ζ21+ζ69−ζ15ζ15ζ69−ζ69−ζ39ζ39ζ21−ζ21
χ2522222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000000
χ2622222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32000000000000
χ2722222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32000000000000
χ2822222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122222222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000000
χ2922222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32000000000000
χ3022222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32000000000000
χ3122222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-122222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000
χ3222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i32000000000000
χ3322222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i32000000000000
χ3422222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ3522222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000000000000
χ3622222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000000000000
χ3722-2-222222222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2111111111-2-2-21111111112222-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-2111000000000000
χ3822-2-222222222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2111111111-2-2-2111111111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i32000000000000
χ3922-2-222222222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2111111111-2-2-2111111111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i32000000000000
χ4022-2-222222222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111-2-2-2111111111-2-2-21111112222-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211000000000000
χ4122-2-222222222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111-2-2-2111111111-2-2-2111111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32000000000000
χ4222-2-222222222-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111-2-2-2111111111-2-2-2111111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32000000000000
χ4322-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111-2-2-2111111111-2-2-21112222-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-21000000000000
χ4422-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111-2-2-2111111111-2-2-2111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32000000000000
χ4522-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111-2-2-2111111111-2-2-2111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1−i32000000000000
χ4622-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111-2-2-2111111111-2-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-2000000000000
χ4722-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111-2-2-2111111111-2-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3000000000000
χ4822-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111-2-2-2111111111-2-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i3000000000000
χ492-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i222-1-1-1-1-1-1-1-1-1-2-2-21111111112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii22-2-22i−2i2i−2i2-1-1-12-1-1-1-2111-21112i−i−i−i−2iiii2i−i−i−i−2iiii000000000000
χ502-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i222-1-1-1-1-1-1-1-1-1-2-2-21111111112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii−1−i3−1+i31+i31−i3−2ζ302ζ30−2ζ62ζ6−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32−2ζ30ζ30ζ30ζ302ζ30−ζ30−ζ30−ζ30−2ζ6ζ6ζ6ζ62ζ6−ζ6−ζ6−ζ6000000000000
χ512-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i222-1-1-1-1-1-1-1-1-1-2-2-21111111112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii−1+i3−1−i31−i31+i3−2ζ62ζ6−2ζ302ζ30−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32−2ζ6ζ6ζ6ζ62ζ6−ζ6−ζ6−ζ6−2ζ30ζ30ζ30ζ302ζ30−ζ30−ζ30−ζ30000000000000
χ522-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111−i−i−i2i2i2i−i−i−i−i−i−iiii−2i−2i−2iiiiiii22-2-22i−2i2i−2i-12-1-1-12-1-11-2111-211−i2i−i−ii−2iii−i2i−i−ii−2iii000000000000
χ532-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111−i−i−i2i2i2i−i−i−i−i−i−iiii−2i−2i−2iiiiiii−1−i3−1+i31+i31−i3−2ζ302ζ30−2ζ62ζ61+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32ζ30−2ζ30ζ30ζ30−ζ302ζ30−ζ30−ζ30ζ6−2ζ6ζ6ζ6−ζ62ζ6−ζ6−ζ6000000000000
χ542-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111−i−i−i2i2i2i−i−i−i−i−i−iiii−2i−2i−2iiiiiii−1+i3−1−i31−i31+i3−2ζ62ζ6−2ζ302ζ301−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32ζ6−2ζ6ζ6ζ6−ζ62ζ6−ζ6−ζ6ζ30−2ζ30ζ30ζ30−ζ302ζ30−ζ30−ζ30000000000000
χ552-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111−i−i−i−i−i−i2i2i2i−i−i−iiiiiii−2i−2i−2iiii22-2-22i−2i2i−2i-1-12-1-1-12-111-2111-21−i−i2i−iii−2ii−i−i2i−iii−2ii000000000000
χ562-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111−i−i−i−i−i−i2i2i2i−i−i−iiiiiii−2i−2i−2iiii−1−i3−1+i31+i31−i3−2ζ302ζ30−2ζ62ζ61+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32ζ30ζ30−2ζ30ζ30−ζ30−ζ302ζ30−ζ30ζ6ζ6−2ζ6ζ6−ζ6−ζ62ζ6−ζ6000000000000
χ572-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111−i−i−i−i−i−i2i2i2i−i−i−iiiiiii−2i−2i−2iiii−1+i3−1−i31−i31+i3−2ζ62ζ6−2ζ302ζ301−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32ζ6ζ6−2ζ6ζ6−ζ6−ζ62ζ6−ζ6ζ30ζ30−2ζ30ζ30−ζ30−ζ302ζ30−ζ30000000000000
χ582-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1222111111111-2-2-2−i−i−i−i−i−i−i−i−i2i2i2iiiiiiiiii−2i−2i−2i22-2-22i−2i2i−2i-1-1-12-1-1-12111-2111-2−i−i−i2iiii−2i−i−i−i2iiii−2i000000000000
χ592-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1222111111111-2-2-2−i−i−i−i−i−i−i−i−i2i2i2iiiiiiiiii−2i−2i−2i−1−i3−1+i31+i31−i3−2ζ302ζ30−2ζ62ζ61+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3ζ30ζ30ζ30−2ζ30−ζ30−ζ30−ζ302ζ30ζ6ζ6ζ6−2ζ6−ζ6−ζ6−ζ62ζ6000000000000
χ602-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1222111111111-2-2-2−i−i−i−i−i−i−i−i−i2i2i2iiiiiiiiii−2i−2i−2i−1+i3−1−i31−i31+i3−2ζ62ζ6−2ζ302ζ301−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3ζ6ζ6ζ6−2ζ6−ζ6−ζ6−ζ62ζ6ζ30ζ30ζ30−2ζ30−ζ30−ζ30−ζ302ζ30000000000000
χ612-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i222-1-1-1-1-1-1-1-1-1-2-2-2111111111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i22-2-2−2i2i−2i2i2-1-1-12-1-1-1-2111-2111−2iiii2i−i−i−i−2iiii2i−i−i−i000000000000
χ622-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i222-1-1-1-1-1-1-1-1-1-2-2-2111111111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i−1−i3−1+i31+i31−i32ζ30−2ζ302ζ6−2ζ6−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i322ζ30−ζ30−ζ30−ζ30−2ζ30ζ30ζ30ζ302ζ6−ζ6−ζ6−ζ6−2ζ6ζ6ζ6ζ6000000000000
χ632-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i222-1-1-1-1-1-1-1-1-1-2-2-2111111111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i−1+i3−1−i31−i31+i32ζ6−2ζ62ζ30−2ζ30−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i322ζ6−ζ6−ζ6−ζ6−2ζ6ζ6ζ6ζ62ζ30−ζ30−ζ30−ζ30−2ζ30ζ30ζ30ζ30000000000000
χ642-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111iii−2i−2i−2iiiiiii−i−i−i2i2i2i−i−i−i−i−i−i22-2-2−2i2i−2i2i-12-1-1-12-1-11-2111-211i−2iii−i2i−i−ii−2iii−i2i−i−i000000000000
χ652-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111iii−2i−2i−2iiiiiii−i−i−i2i2i2i−i−i−i−i−i−i−1−i3−1+i31+i31−i32ζ30−2ζ302ζ6−2ζ61+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32−ζ302ζ30−ζ30−ζ30ζ30−2ζ30ζ30ζ30−ζ62ζ6−ζ6−ζ6ζ6−2ζ6ζ6ζ6000000000000
χ662-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111iii−2i−2i−2iiiiiii−i−i−i2i2i2i−i−i−i−i−i−i−1+i3−1−i31−i31+i32ζ6−2ζ62ζ30−2ζ301−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32−ζ62ζ6−ζ6−ζ6ζ6−2ζ6ζ6ζ6−ζ302ζ30−ζ30−ζ30ζ30−2ζ30ζ30ζ30000000000000
χ672-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111iiiiii−2i−2i−2iiii−i−i−i−i−i−i2i2i2i−i−i−i22-2-2−2i2i−2i2i-1-12-1-1-12-111-2111-21ii−2ii−i−i2i−iii−2ii−i−i2i−i000000000000
χ682-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111iiiiii−2i−2i−2iiii−i−i−i−i−i−i2i2i2i−i−i−i−1−i3−1+i31+i31−i32ζ30−2ζ302ζ6−2ζ61+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32−ζ30−ζ302ζ30−ζ30ζ30ζ30−2ζ30ζ30−ζ6−ζ62ζ6−ζ6ζ6ζ6−2ζ6ζ6000000000000
χ692-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111iiiiii−2i−2i−2iiii−i−i−i−i−i−i2i2i2i−i−i−i−1+i3−1−i31−i31+i32ζ6−2ζ62ζ30−2ζ301−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32−ζ6−ζ62ζ6−ζ6ζ6ζ6−2ζ6ζ6−ζ30−ζ302ζ30−ζ30ζ30ζ30−2ζ30ζ30000000000000
χ702-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-1-1-1222111111111-2-2-2iiiiiiiii−2i−2i−2i−i−i−i−i−i−i−i−i−i2i2i2i22-2-2−2i2i−2i2i-1-1-12-1-1-12111-2111-2iii−2i−i−i−i2iiii−2i−i−i−i2i000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.