Finite Group Databasebeta

← Group #12080545

Character table — Group #12080545

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222444444444444444444444444448888888888888888888888888888161616161616161616161616161616161616404040404040404080808080
order1222445510101010101024444410101010202020202020202020202020202020202244888820202020404040404040404040404040404040404410101010202020202020202020202020224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-11-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1111-1-1
χ91111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1111111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1111-11-1-1-11-11-1
χ101111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1111111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-11-1111-11-11
χ111111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111111-11-1-1-1-11-11
χ121111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-1-1-11-11111-11-1
χ131111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111-11-1-11-111-1-11
χ141111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-11-111-11-1-111-1
χ151111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11-11-1-11-11-111-1
χ161111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-11-111-11-11-1-11
χ17222222222222222-2-22-2-22222-2-2-2-2-2-2-2-2222222222-2-220000-2-2-2-200000000000000000022-2-2-2-22200000000000000000000
χ18222222222222222-2-22-2-22222-2-2-2-2-2-2-2-222222222-222-20000-2-2-2-2000000000000000000-2-22222-2-200000000000000000000
χ1922222222222222-22-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000022-2-200000000000000000000000000000000000200-2-2020000
χ2022222222222222-22-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000022-2-200000000000000000000000000000000000-200220-20000
χ2122222222222222-2-22-2-22-2-2-2-2-2-2-2-222222222-2-2-2-200000000-2-222000000000000000000000000000000000020-2-200200000
χ2222222222222222-2-22-2-22-2-2-2-2-2-2-2-222222222-2-2-2-200000000-2-2220000000000000000000000000000000000-202200-200000
χ23222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ24222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000
χ25222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52000000000000
χ26222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ27222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2200001−521+521−521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ300−1+52−1−521−521+521−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000000000
χ28222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2200001−521+521−521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ300−1+52−1−521−521+521−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000000000
χ29222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-200001−521+521−521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3001−521+52−1+52−1−52−1+52−1−521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000000000
χ30222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-200001−521+521−521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3001−521+52−1+52−1−52−1+52−1−521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000000000
χ31222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ32222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000
χ33222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52000000000000
χ34222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ35222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2200001+521−521+521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ400−1−52−1+521+521−521+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000000000000
χ36222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2200001+521−521+521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ400−1−52−1+521+521−521+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000000000000
χ37222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-200001+521−521+521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4001+521−52−1−52−1+52−1−52−1+521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000000000000
χ38222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-200001+521−521+521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4001+521−52−1−52−1+52−1−52−1+521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000000000000
χ392222-2-22222222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222000000000000000000000000000000000020-2200-200000
χ402222-2-22222222222-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000-202-200200000
χ412222-2-2222222222-22-22-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-200000000000000000000000000000000000200-220-20000
χ422222-2-2222222222-22-22-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-200000000000000000000000000000000000-2002-2020000
χ432222-2-222222222-2222-2-2-2-2-2-222222222-2-2-2-2222222-2-20000-2-2-2-20000000000000000002222-2-2-2-200000000000000000000
χ442222-2-222222222-2222-2-2-2-2-2-222222222-2-2-2-22222-2-2220000-2-2-2-2000000000000000000-2-2-2-2222200000000000000000000
χ452222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-200001−521+521−521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ300−1+52−1−52−1+52−1−521−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000000000
χ462222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-200001−521+521−521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ300−1+52−1−52−1+52−1−521−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000000000
χ472222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3001−521+521−521+52−1+52−1−52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000000000
χ482222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222-2-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3001−521+521−521+52−1+52−1−52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000000000
χ492222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ502222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ512222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-2222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ522222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-22-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ532222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-200001+521−521+521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ400−1−52−1+52−1−52−1+521+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000000000000
χ542222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-200001+521−521+521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ400−1−52−1+52−1−52−1+521+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000000000000
χ552222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-22200001+521−521+521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4001+521−521+521−52−1−52−1+52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000000000000
χ562222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-22200001+521−521+521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4001+521−521+521−52−1−52−1+52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000000000000
χ572222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ582222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ592222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22-2222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ602222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22-22-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ61444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-4-44-41−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ62444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44-4-441−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ63444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-4-44-41+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ64444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44-4-441+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ654444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-4-44−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+51−51−51+51+5000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ664444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-44-44-4−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500000000−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ674444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-4-44−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−51+51+51−51−5000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ684444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-44-44-4−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500000000−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ694-4-444-444-4-4-4-4440000000000000000004-44-4000000002-22-200002-22-22-22-22-22-22-22-2000000000000000000000000000000
χ704-4-444-444-4-4-4-4440000000000000000004-44-400000000-22-220000-22-22-22-22-22-22-22-22000000000000000000000000000000
χ714-4-444-4−1+5−1−51−51−51+51+5−1+5−1−50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000−1+51−5−1−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300002-22-200002ζ−2ζ2ζ4−2ζ42ζ2−2ζ22ζ3−2ζ32ζ−2ζ2ζ4−2ζ42ζ2−2ζ22ζ3−2ζ3000000000000000000000000000000
χ724-4-444-4−1+5−1−51−51−51+51+5−1+5−1−50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000−1+51−5−1−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000-22-220000−2ζ2ζ−2ζ42ζ4−2ζ22ζ2−2ζ32ζ3−2ζ2ζ−2ζ42ζ4−2ζ22ζ2−2ζ32ζ3000000000000000000000000000000
χ734-4-444-4−1+5−1−51−51−51+51+5−1+5−1−5000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300002-22-200002ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ22ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ2000000000000000000000000000000
χ744-4-444-4−1+5−1−51−51−51+51+5−1+5−1−5000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000-22-220000−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ2−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ2000000000000000000000000000000
χ754-4-444-4−1−5−1+51+51+51−51−5−1−5−1+50000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000−1−51+5−1+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400002-22-200002ζ2−2ζ22ζ3−2ζ32ζ4−2ζ42ζ−2ζ2ζ2−2ζ22ζ3−2ζ32ζ4−2ζ42ζ−2ζ000000000000000000000000000000
χ764-4-444-4−1−5−1+51+51+51−51−5−1−5−1+50000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000−1−51+5−1+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000-22-220000−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ000000000000000000000000000000
χ774-4-444-4−1−5−1+51+51+51−51−5−1−5−1+5000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400002-22-200002ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ42ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ4000000000000000000000000000000
χ784-4-444-4−1−5−1+51+51+51−51−5−1−5−1+5000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000-22-220000−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ4−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ4000000000000000000000000000000
χ794-4-44-4444-4-4-4-444000000000000000000-44-44000000002-2-2200002-22-22-22-2-22-22-22-22000000000000000000000000000000
χ804-4-44-4444-4-4-4-444000000000000000000-44-4400000000-222-20000-22-22-22-222-22-22-22-2000000000000000000000000000000
χ814-4-44-44−1+5−1−51−51−51+51+5−1+5−1−50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3000000001−5−1+51+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300002-2-2200002ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ2−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ2000000000000000000000000000000
χ824-4-44-44−1+5−1−51−51−51+51+5−1+5−1−50000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3000000001−5−1+51+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000-222-20000−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ22ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ2000000000000000000000000000000
χ834-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3000000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300002-2-2200002ζ−2ζ2ζ4−2ζ42ζ2−2ζ22ζ3−2ζ3−2ζ2ζ−2ζ42ζ4−2ζ22ζ2−2ζ32ζ3000000000000000000000000000000
χ844-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3000000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000-222-20000−2ζ2ζ−2ζ42ζ4−2ζ22ζ2−2ζ32ζ32ζ−2ζ2ζ4−2ζ42ζ2−2ζ22ζ3−2ζ3000000000000000000000000000000
χ854-4-44-44−1−5−1+51+51+51−51−5−1−5−1+50000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4000000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400002-2-2200002ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ4−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ4000000000000000000000000000000
χ864-4-44-44−1−5−1+51+51+51−51−5−1−5−1+50000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4000000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000-222-20000−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ42ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ4000000000000000000000000000000
χ874-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4000000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400002-2-2200002ζ2−2ζ22ζ3−2ζ32ζ4−2ζ42ζ−2ζ−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ000000000000000000000000000000
χ884-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4000000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000-222-20000−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ2ζ2−2ζ22ζ3−2ζ32ζ4−2ζ42ζ−2ζ000000000000000000000000000000
χ8988-8-800888-88-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800−2+25−2−25−2+252−25−2−252+252−252+2500000000004ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ30000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800−2+25−2−25−2+252−25−2−252+252−252+250000000000−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ30000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800−2−25−2+25−2−252+25−2+252−252+252−2500000000004ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ40000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800−2−25−2+25−2−252+25−2+252−252+252−250000000000−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ40000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-80088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800−2+25−2−252−25−2+252+25−2−252−252+25000000000000004ζ−4ζ4−4ζ+4ζ44ζ2−4ζ3−4ζ2+4ζ3000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800−2+25−2−252−25−2+252+25−2−252−252+2500000000000000−4ζ+4ζ44ζ−4ζ4−4ζ2+4ζ34ζ2−4ζ3000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800−2−25−2+252+25−2−252−25−2+252+252−25000000000000004ζ2−4ζ3−4ζ2+4ζ3−4ζ+4ζ44ζ−4ζ4000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800−2−25−2+252+25−2−252−25−2+252+252−2500000000000000−4ζ2+4ζ34ζ2−4ζ34ζ−4ζ4−4ζ+4ζ4000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).