Finite Group Databasebeta

← Group #12098405

Character table — Group #12098405

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size111111111111111144444444444444444444444444442222222222222222888888888888888888888888888822222222222222228888888888888888888888888888555555555555555520202020202020202020202020202020202020202020202020202020
order1222222244444444222222444444888888888888888851010101010101020202020202020201010101010102020202020204040404040404040404040404040404051010101010101020202020202020201010101010102020202020204040404040404040404040404040404022222222444444442222224444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii
χ172222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37
χ182222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37
χ192222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39
χ202222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39
χ2122-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390000
χ2222-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ390000
χ2322-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370000
χ2422-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ370000
χ2522-2-2-2-22222-2-2-2-2222-200002-20000000000000000000022-2-2-2-22222-2-2-2-2222-200002-20000000000000000000022-2-2-2-22222-2-2-2-2222-200002-20000000000000000000022-2-2-2-22222-2-2-2-2222-200002-200000000000000000000
χ2622-2-2-2-22222-2-2-2-222-220000-220000000000000000000022-2-2-2-22222-2-2-2-222-220000-220000000000000000000022-2-2-2-22222-2-2-2-222-220000-220000000000000000000022-2-2-2-22222-2-2-2-222-220000-2200000000000000000000
χ2722-2-2-2-222-2-22222-2-22-20000-220000000000000000000022-2-2-2-222-2-22222-2-22-20000-220000000000000000000022-2-2-2-222-2-22222-2-22-20000-220000000000000000000022-2-2-2-222-2-22222-2-22-20000-2200000000000000000000
χ2822-2-2-2-222-2-22222-2-2-2200002-20000000000000000000022-2-2-2-222-2-22222-2-2-2200002-20000000000000000000022-2-2-2-222-2-22222-2-2-2200002-20000000000000000000022-2-2-2-222-2-22222-2-2-2200002-200000000000000000000
χ292-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900000000
χ302-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000
χ312-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700000000
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χ45111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ461111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ47111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111
χ48111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1
χ491111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111
χ501111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1
χ511111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ521111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ5311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1−i−iii−i−iii−i−iii−i−iii
χ5411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1ii−i−iii−i−iii−i−iii−i−i
χ5511111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ5611111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ5711111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ5811111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ5911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ6011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
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χ1724-4-444-4-44-444-4-444-40000-4400004-40000000000000000−1−51+51+5−1−5−1−51+51+5−1−51+5−1−5−1−51+51+5−1−5−1−51+500001+5−1−50000−1−51+50000000000000000−1+51−51−5−1+5−1+51−51−5−1+51−5−1+5−1+51−51−5−1+5−1+51−500001−5−1+50000−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1734-4-44-444-44i−4i−4i4i−4i4i4i−4i000000000000−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39000000000000−1−51+51+5−1−51+5−1−5−1−51+5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000002ζ21+2ζ29−2ζ21−2ζ292ζ31+2ζ39−2ζ31−2ζ39000000000000−1+51−51−5−1+51−5−1+5−1+51−5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000002ζ13+2ζ37−2ζ13−2ζ372ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000000000000000000000000000
χ1744-4-44-444-44i−4i−4i4i−4i4i4i−4i0000000000004ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ374ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ39000000000000−1−51+51+5−1−51+5−1−5−1−51+5−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000−2ζ21−2ζ292ζ21+2ζ29−2ζ31−2ζ392ζ31+2ζ39000000000000−1+51−51−5−1+51−5−1+5−1+51−5−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000−2ζ13−2ζ372ζ13+2ζ37−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000000000000000000000000000
χ1754-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000000000−4ζ7−4ζ23−4ζ31−4ζ394ζ7+4ζ23+4ζ31+4ζ39−4ζ13−4ζ21−4ζ29−4ζ374ζ13+4ζ21+4ζ29+4ζ37000000000000−1−51+51+5−1−51+5−1−5−1−51+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000002ζ31+2ζ39−2ζ31−2ζ392ζ21+2ζ29−2ζ21−2ζ29000000000000−1+51−51−5−1+51−5−1+5−1+51−52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000002ζ7+2ζ23−2ζ7−2ζ232ζ13+2ζ37−2ζ13−2ζ3700000000000000000000000000000000000000000000000000000000
χ1764-4-44-444-4−4i4i4i−4i4i−4i−4i4i0000000000004ζ7+4ζ23+4ζ31+4ζ39−4ζ7−4ζ23−4ζ31−4ζ394ζ13+4ζ21+4ζ29+4ζ37−4ζ13−4ζ21−4ζ29−4ζ37000000000000−1−51+51+5−1−51+5−1−5−1−51+52ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14000000000000−2ζ31−2ζ392ζ31+2ζ39−2ζ21−2ζ292ζ21+2ζ29000000000000−1+51−51−5−1+51−5−1+5−1+51−52ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ13−2ζ372ζ13+2ζ3700000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.