Finite Group Databasebeta

← Group #12154578

Character table — Group #12154578

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size111122222222222222444444444444444488888888888888888888888888888888888888888810101616161616161616161616161620202040404040404040404040404080
order1222222222551010101010102244101010101010101010101010222244444410101010101010101010101010101010101010102020202020202020202020204442020202020202020202020204442222444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1111-1-11-1-1-1-11
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-1
χ71111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111111111111-1-1-1-11-1-111111-1
χ81111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-111-1-1-1-1-11
χ9111111111111111111-1-1-1-11111111111111-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-111-11-1-111-1-1-1
χ10111111111111111111-1-1-1-11111111111111-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-111-1-1111
χ11111111111111111111-1-1-1-11111111111111-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-1111
χ12111111111111111111-1-1-1-11111111111111-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-11111-1-1-1
χ13111111111111111111-1-1-1-1111111111111-1111-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111111-1111-1-11-1-1-111-1
χ14111111111111111111-1-1-1-1111111111111-1111-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-111-1111-1-11
χ15111111111111111111-1-1-1-1111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-11-1-1-1-11-111-1-11
χ16111111111111111111-1-1-1-1111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-11-11111-11-1-111-1
χ172222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-222-2-2-2-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52002−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2222-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−521−521−521+521+5200-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-22-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52002−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2222-22-2-2221−521−521+521+521−521−521+521+52−1+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+52−1+52−1+52−1−52−1−5200-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-2222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52002−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2222-222-2-21+521+521−521−52−1−52−1−52−1+52−1+521+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+521+521+521−521−5200-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-22-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52002−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2222-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3322222-2-2-2-222222222222-2-22-2-22-2-22-2-22-2-2000000000022220000000000000000-2-2-2-2000000002200000000000002-2-20000-200200000
χ3422222-2-2-2-222222222222-2-22-2-22-2-22-2-22-2-2000000000022220000000000000000-2-2-2-200000000-2-20000000000000-2220000200-200000
χ3522222-2-2-2-2222222222-2-2222-2-22-2-22-2-22-2-20000000000-2-2-2-200000000000000002222000000002200000000000002-2-20000200-200000
χ3622222-2-2-2-2222222222-2-2222-2-22-2-22-2-22-2-20000000000-2-2-2-20000000000000000222200000000-2-20000000000000-2220000-200200000
χ372222-22-22-2-2222222220000-22-2-22-2-22-2-22-202000-200000000000022220000000000000000-2-2-2-2220000000000000-22-2020000-2000000
χ382222-22-22-2-2222222220000-22-2-22-2-22-2-22-202000-200000000000022220000000000000000-2-2-2-2-2-200000000000002-220-200002000000
χ392222-22-22-2-2222222220000-22-2-22-2-22-2-22-20-20002000000000000-2-2-2-200000000000000002222220000000000000-22-20-200002000000
χ402222-22-22-2-2222222220000-22-2-22-2-22-2-22-20-20002000000000000-2-2-2-200000000000000002222-2-200000000000002-22020000-2000000
χ412222-2-22-22-2222222220000-2-22-2-22-2-22-2-222000-200000000022220000000000000000-2-2-2-20000220000000000000-2-2220000-20000000
χ422222-2-22-22-2222222220000-2-22-2-22-2-22-2-222000-200000000022220000000000000000-2-2-2-20000-2-2000000000000022-2-2000020000000
χ432222-2-22-22-2222222220000-2-22-2-22-2-22-2-22-20002000000000-2-2-2-2000000000000000022220000220000000000000-2-22-2000020000000
χ442222-2-22-22-2222222220000-2-22-2-22-2-22-2-22-20002000000000-2-2-2-2000000000000000022220000-2-2000000000000022-220000-20000000
χ452-22-2-222-2-2222-2-2-2-2222-22-2-2-2-2-2-2-22222220000002-22-22-22-200000000000000002-22-20000000000000002-22-22-22-20000000000000000
χ462-22-2-222-2-2222-2-2-2-2222-22-2-2-2-2-2-2-2222222000000-22-222-22-200000000000000002-22-2000000000000000-22-22-22-220000000000000000
χ472-22-2-222-2-2222-2-2-2-222-22-22-2-2-2-2-2-22222220000002-2-22-22-220000000000000000-22-220000000000000002-22-2-22-220000000000000000
χ482-22-2-222-2-2222-2-2-2-222-22-22-2-2-2-2-2-2222222000000-222-2-22-220000000000000000-22-22000000000000000-22-222-22-20000000000000000
χ492-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−522-22-21−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−520000002-22-2−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−1+521−52−1−521+52−1+521−52−1−521+520000000000000000
χ502-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−522-22-21−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−520000002-22-2−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−1+521−52−1−521+52−1+521−52−1−521+520000000000000000
χ512-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−522-22-21−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52000000-22-22−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−52−1+521+52−1−521−52−1+521+52−1−520000000000000000
χ522-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−522-22-21−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52000000-22-22−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−52−1+521+52−1−521−52−1+521+52−1−520000000000000000
χ532-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−520000002-2-221−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ31−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−1+521−52−1−521+521−52−1+521+52−1−520000000000000000
χ542-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−520000002-2-221−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ31−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−1+521−52−1−521+521−52−1+521+52−1−520000000000000000
χ552-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52000000-222-21−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ31−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ31−52−1+521+52−1−52−1+521−52−1−521+520000000000000000
χ562-22-2-222-2-22−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52000000-222-21−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ31−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ31−52−1+521+52−1−52−1+521−52−1−521+520000000000000000
χ572-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+522-22-21+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+520000002-22-2−1−521+52−1+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−1−521+52−1+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−1−521+52−1+521−52−1−521+52−1+521−520000000000000000
χ582-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+522-22-21+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+520000002-22-2−1−521+52−1+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4−1−521+52−1+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−1−521+52−1+521−52−1−521+52−1+521−520000000000000000
χ592-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+522-22-21+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52000000-22-22−1−521+52−1+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4−1−521+52−1+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+52−1−521−52−1+521+52−1−521−52−1+520000000000000000
χ602-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+522-22-21+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52000000-22-22−1−521+52−1+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−1−521+52−1+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+52−1−521−52−1+521+52−1−521−52−1+520000000000000000
χ612-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+520000002-2-221+52−1−521−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ41+52−1−521−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−1−521+52−1+521−521+52−1−521−52−1+520000000000000000
χ622-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+520000002-2-221+52−1−521−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ41+52−1−521−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−1−521+52−1+521−521+52−1−521−52−1+520000000000000000
χ632-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52000000-222-21+52−1−521−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ41+52−1−521−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ41+52−1−521−52−1+52−1−521+52−1+521−520000000000000000
χ642-22-2-222-2-22−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52000000-222-21+52−1−521−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ41+52−1−521−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ41+52−1−521−52−1+52−1−521+52−1+521−520000000000000000
χ652-22-2-2-2-222222-2-2-2-2222-2-22-222-2222-2-22-2-200000000002-22-20000000000000000-22-2200000000000000000000000000000000002-22-20
χ662-22-2-2-2-222222-2-2-2-2222-2-22-222-2222-2-22-2-200000000002-22-20000000000000000-22-220000000000000000000000000000000000-22-220
χ672-22-2-2-2-222222-2-2-2-222-222-2-222-2222-2-22-2-20000000000-22-2200000000000000002-22-200000000000000000000000000000000002-2-220
χ682-22-2-2-2-222222-2-2-2-222-222-2-222-2222-2-22-2-20000000000-22-2200000000000000002-22-20000000000000000000000000000000000-222-20
χ6944444-4-4-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-4−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+50000000000−1+5−1+5−1−5−1−500000000000000001−51−51+51+5000000000000000000000000000000000000000
χ7044444-4-4-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-444−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+500000000001−51−51+51+50000000000000000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000
χ7144444-4-4-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-4−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−50000000000−1−5−1−5−1+5−1+500000000000000001+51+51−51−5000000000000000000000000000000000000000
χ7244444-4-4-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-444−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−500000000001+51+51−51−50000000000000000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000
χ734444-44-44-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+504000-4000000000000−1+5−1+5−1−5−1−500000000000000001−51−51+51+50000000000000000000000000000000
χ744444-44-44-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+50-400040000000000001−51−51+51+50000000000000000−1+5−1+5−1−5−1−50000000000000000000000000000000
χ754444-44-44-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−504000-4000000000000−1−5−1−5−1+5−1+500000000000000001+51+51−51−50000000000000000000000000000000
χ764444-44-44-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−50-400040000000000001+51+51−51−50000000000000000−1−5−1−5−1+5−1+50000000000000000000000000000000
χ774444-4-44-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−54000-4000000000−1+5−1+5−1−5−1−500000000000000001−51−51+51+500000000000000000000000000000000000
χ784444-4-44-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−5-400040000000001−51−51+51+50000000000000000−1+5−1+5−1−5−1−500000000000000000000000000000000000
χ794444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+54000-4000000000−1−5−1−5−1+5−1+500000000000000001+51+51−51−500000000000000000000000000000000000
χ804444-4-44-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+5-400040000000001+51+51−51−50000000000000000−1−5−1−5−1+5−1+500000000000000000000000000000000000
χ814-44-444-4-44-444-4-4-4-44400004-444-44-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ824-44-444-4-44-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+51−5−1+5−1−51+5−1−51−5−1+51−51+5−1−51+50000000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000000000000000000
χ834-44-444-4-44-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+51−5−1+5−1−51+5−1−51−5−1+51−51+5−1−51+5000000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000000
χ844-44-444-4-44-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−51+5−1−5−1+51−5−1+51+5−1−51+51−5−1+51−50000000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000000000000000000
χ854-44-444-4-44-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−51+5−1−5−1+51−5−1+51+5−1−51+51−5−1+51−5000000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000000000000000000
χ864-44-44-444-4-444-4-4-4-444000044-444-4-4-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000
χ874-44-44-444-4-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1+51−5−1−5−1−51+51−51−5−1+51+51+5−1−5000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000000000000000000000000
χ884-44-44-444-4-4−1+5−1−51−51−51+51+5−1+5−1−50000−1+5−1+51−5−1−5−1−51+51−51−5−1+51+51+5−1−500000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000000000000000000000000000000
χ894-44-44-444-4-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1−51+5−1+5−1+51−51+51+5−1−51−51−5−1+5000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000000000000000000000000
χ904-44-44-444-4-4−1−5−1+51+51+51−51−5−1−5−1+50000−1−5−1−51+5−1+5−1+51−51+51+5−1−51−51−5−1+500000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000000000000000000000000000000
χ914-44-4-4-4-4444−1+5−1−51−51−51+51+5−1+5−1−54-4-441−5−1+5−1+51+5−1−5−1−5−1+51−51−5−1−51+51+50000000000−1+51−5−1−51+500000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000
χ924-44-4-4-4-4444−1+5−1−51−51−51+51+5−1+5−1−5-444-41−5−1+5−1+51+5−1−5−1−5−1+51−51−5−1−51+51+500000000001−5−1+51+5−1−50000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000
χ934-44-4-4-4-4444−1−5−1+51+51+51−51−5−1−5−1+54-4-441+5−1−5−1−51−5−1+5−1+5−1−51+51+5−1+51−51−50000000000−1−51+5−1+51−500000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000
χ944-44-4-4-4-4444−1−5−1+51+51+51−51−5−1−5−1+5-444-41+5−1−5−1−51−5−1+5−1+5−1−51+51+5−1+51−51−500000000001+5−1−51−5−1+50000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000
χ954-4-44000000444-44-4-4-40000000000000000002-20000000000000000002-22-22-22-20000000000004-40000000000000000002-2000000000
χ964-4-44000000444-44-4-4-40000000000000000002-20000000000000000002-22-22-22-2000000000000-44000000000000000000-22000000000
χ974-4-44000000444-44-4-4-4000000000000000000-22000000000000000000-22-22-22-220000000000004-4000000000000000000-22000000000
χ984-4-44000000444-44-4-4-4000000000000000000-22000000000000000000-22-22-22-22000000000000-440000000000000000002-2000000000
χ9988-8-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000000000000000002ζ−2ζ4−2ζ+2ζ4−2ζ+2ζ42ζ−2ζ42ζ2−2ζ3−2ζ2+2ζ3−2ζ2+2ζ32ζ2−2ζ30000000000000000000000000000000000000000000
χ10188-8-8000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000000000000000000000−2ζ+2ζ42ζ−2ζ42ζ−2ζ4−2ζ+2ζ4−2ζ2+2ζ32ζ2−2ζ32ζ2−2ζ3−2ζ2+2ζ30000000000000000000000000000000000000000000
χ10288-8-8000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ2+2ζ32ζ2−2ζ3−2ζ+2ζ42ζ−2ζ42ζ−2ζ4−2ζ+2ζ40000000000000000000000000000000000000000000
χ10388-8-8000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000000000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ−2ζ4−2ζ+2ζ4−2ζ+2ζ42ζ−2ζ40000000000000000000000000000000000000000000
χ1048-8-88000000−2+25−2−25−2+252−25−2−252+252−252+250000000000000000004-4000000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000000
χ1058-8-88000000−2+25−2−25−2+252−25−2−252+252−252+25000000000000000000-440000000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000
χ1068-8-88000000−2−25−2+25−2−252+25−2+252−252+252−250000000000000000004-4000000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000
χ1078-8-88000000−2−25−2+25−2−252+25−2+252−252+252−25000000000000000000-440000000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000

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