Finite Group Databasebeta

← Group #13104587

Character table — Group #13104587

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size11112222222222222244444444444444444444444444444444555588888888888888888888888888888810101010101010101010101010102020202020202020202020202525252525252525505050505050505050505050
order122244444455101010101010555551010101010101010101010101010102020202020202020202020204444202020202020202020202020202020202020202020202020202020202020224444202020202020202010101010202020202020202088888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii
χ5111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ6111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i−i−i−i−iiiii
χ8111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iiiiiii−i−i−i−i
χ91111-1-111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1
χ101111-1-111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ111111-1-111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii−i−iii
χ121111-1-111-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−iii−i−i
χ131111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ141111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ161111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ171-11-1i−ii−i1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−iii−i−i11-1-111-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1-1i−ii−i1111-1-1-1-111-1-1ii−i−iii−i−i11-1-111-1-1i−ii−i1-1i−ii−i1-1
χ181-11-1i−ii−i1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−iii−i−i11-1-111-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1-1i−ii−i1111-1-1-1-111-1-1ii−i−iii−i−i-1-111-1-111−ii−ii-11−ii−ii-11
χ191-11-1i−ii−i1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−iii−i−i11-1-1-1-11111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-11−ii−ii-1-1-1-11111-1-111−i−iii−i−iiiii−i−i−i−iii-11-11i−i1-11-1−ii
χ201-11-1i−ii−i1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−iii−i−i11-1-1-1-11111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-11−ii−ii-1-1-1-11111-1-111−i−iii−i−iii−i−iiiii−i−i1-11-1−ii-11-11i−i
χ211-11-1i−i−ii-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−i−i−iii-1-11111-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-11i−i−ii1111-1-1-1-1-1-111ii−i−i−i−iii11-1-111-1-1i−i−ii-11i−i−ii-11
χ221-11-1i−i−ii-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−i−i−iii-1-11111-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-11i−i−ii1111-1-1-1-1-1-111ii−i−i−i−iii-1-111-1-111−iii−i1-1−iii−i1-1
χ231-11-1i−i−ii-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−i−i−iii-1-111-1-111-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1−iii−i-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii-111-1−ii1-1-11i−i
χ241-11-1i−i−ii-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1ii−i−i−i−iii-1-111-1-111-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1−iii−i-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i1-1-11i−i-111-1−ii
χ251-11-1−iii−i-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iiiii−i−i-1-11111-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-11−iii−i1111-1-1-1-1-1-111−i−iiiii−i−i11-1-111-1-1−iii−i-11−iii−i-11
χ261-11-1−iii−i-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iiiii−i−i-1-11111-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-11−iii−i1111-1-1-1-1-1-111−i−iiiii−i−i-1-111-1-111i−i−ii1-1i−i−ii1-1
χ271-11-1−iii−i-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iiiii−i−i-1-111-1-111-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1i−i−ii-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii1-1-11−ii-111-1i−i
χ281-11-1−iii−i-1111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iiiii−i−i-1-111-1-111-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1i−i−ii-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1i−i1-1-11−ii
χ291-11-1−ii−ii1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iii−i−iii11-1-111-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1-1−ii−ii1111-1-1-1-111-1-1−i−iii−i−iii11-1-111-1-1−ii−ii1-1−ii−ii1-1
χ301-11-1−ii−ii1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iii−i−iii11-1-111-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1-1−ii−ii1111-1-1-1-111-1-1−i−iii−i−iii-1-111-1-111i−ii−i-11i−ii−i-11
χ311-11-1−ii−ii1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iii−i−iii11-1-1-1-11111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-11i−ii−i-1-1-1-11111-1-111ii−i−iii−i−iii−i−i−i−iii1-11-1i−i-11-11−ii
χ321-11-1−ii−ii1-111-1-111-1-111111-1-1-1-1-111111-1-1-1-1-1−i−iii−i−iii11-1-1-1-11111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-11i−ii−i-1-1-1-11111-1-111ii−i−iii−i−i−i−iiiii−i−i-11-11−ii1-11-1i−i
χ332222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+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+52−1−5222222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+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+52−1−5200000000000000000000
χ342222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+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+52−1−52-2-2-2-22−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ352222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+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+5222222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+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+5200000000000000000000
χ362222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+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+52-2-2-2-22−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ37222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+522222-21−521−521+521+52-21−521−521+521+522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+52-21−521−521+521+52-2-222-2-2−1+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+5200000000000000000000
χ38222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52-2-2-2-2-21−521−521+521+52-21−521−521+521+522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-21−521−521+521+52-21−521−521+521+5222-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ39222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−522222-21+521+521−521−52-21+521+521−521−522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−52-21+521+521−521−52-2-222-2-2−1−52−1−52−1+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+521−5200000000000000000000
χ40222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52-2-2-2-2-21+521+521−521−52-21+521+521−521−522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-21+521+521−521−52-21+521+521−521−5222-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ412222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+522222-21−521−521+521+52-21−521−521+521+52-21−521−521+521+52-21−521−521+521+522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-2-2-222−1+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+52−1−5200000000000000000000
χ422222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52-2-2-2-2-21−521−521+521+52-21−521−521+521+52-21−521−521+521+52-21−521−521+521+522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522222-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ432222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−522222-21+521+521−521−52-21+521+521−521−52-21+521+521−521−52-21+521+521−521−522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1−52−1+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+5200000000000000000000
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χ1084-44-4−4i4i4i−4i-44−1+5−1−51−51+5−1+5−1−51−51+5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ282ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ141−51+5−1+5−1−500001ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ28i−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38−iζ6−ζ14+ζ38−ζ6+ζ14+ζ22ζ6+ζ22−ζ38ζ14−ζ22+ζ38−iζ6−ζ14+ζ38−ζ6+ζ14+ζ22ζ6+ζ22−ζ38ζ14−ζ22+ζ38i−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−ζ6−ζ22+ζ38−ζ14+ζ22−ζ380000000000000000000000000000000000000000000000
χ1094-44-4−4i4i4i−4i-44−1+5−1−51−51+5−1+5−1−51−51+5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ362ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ141−51+5−1+5−1−500001−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ36iζ6−ζ14−ζ22−ζ6+ζ14−ζ38−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−i−ζ6+ζ14+ζ22ζ6−ζ14+ζ38ζ14−ζ22+ζ38ζ6+ζ22−ζ38−i−ζ6+ζ14+ζ22ζ6−ζ14+ζ38ζ14−ζ22+ζ38ζ6+ζ22−ζ38iζ6−ζ14−ζ22−ζ6+ζ14−ζ38−ζ14+ζ22−ζ38−ζ6−ζ22+ζ380000000000000000000000000000000000000000000000
χ1104-44-4−4i4i4i−4i-44−1−5−1+51+51−5−1−5−1+51+51−5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ362ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ381+51−5−1−5−1+500001−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ36i−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38ζ6−ζ14−ζ22−ζ6+ζ14−ζ38−iζ6+ζ22−ζ38ζ14−ζ22+ζ38−ζ6+ζ14+ζ22ζ6−ζ14+ζ38−iζ6+ζ22−ζ38ζ14−ζ22+ζ38−ζ6+ζ14+ζ22ζ6−ζ14+ζ38i−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38ζ6−ζ14−ζ22−ζ6+ζ14−ζ380000000000000000000000000000000000000000000000
χ1114-44-4−4i4i4i−4i-44−1−5−1+51+51−5−1−5−1+51+51−5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ362ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ381+51−5−1−5−1+500001−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ36i−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−iζ14−ζ22+ζ38ζ6+ζ22−ζ38ζ6−ζ14+ζ38−ζ6+ζ14+ζ22−iζ14−ζ22+ζ38ζ6+ζ22−ζ38ζ6−ζ14+ζ38−ζ6+ζ14+ζ22i−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−ζ6+ζ14−ζ38ζ6−ζ14−ζ220000000000000000000000000000000000000000000000
χ1124-44-4−4i4i−4i4i4-444-4-444-4-4-1-1-1-1-111111-1-1-1-1-111111−4i−4i4i4i−4i−4i4i4i44-4-40000-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i0000000000000000000000000000000000000000000000
χ1134-44-4−4i4i−4i4i4-4−1+5−1−51−51+5−1+5−1−51−51+5-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ282ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−1+5−1−51−51+50000-1−ζ4+ζ28+ζ36ζ4+ζ12−ζ36ζ12−ζ28+ζ36ζ4−ζ12+ζ281ζ4−ζ28−ζ36−ζ4−ζ12+ζ36−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28i−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38−iζ6−ζ14+ζ38−ζ6+ζ14+ζ22ζ6+ζ22−ζ38ζ14−ζ22+ζ38i−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38−iζ6−ζ14+ζ38−ζ6+ζ14+ζ22ζ6+ζ22−ζ38ζ14−ζ22+ζ380000000000000000000000000000000000000000000000
χ1144-44-4−4i4i−4i4i4-4−1+5−1−51−51+5−1+5−1−51−51+5-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ362ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ142ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14−1+5−1−51−51+50000-1ζ4+ζ12−ζ36−ζ4+ζ28+ζ36ζ4−ζ12+ζ28ζ12−ζ28+ζ361−ζ4−ζ12+ζ36ζ4−ζ28−ζ36−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36iζ6−ζ14−ζ22−ζ6+ζ14−ζ38−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−i−ζ6+ζ14+ζ22ζ6−ζ14+ζ38ζ14−ζ22+ζ38ζ6+ζ22−ζ38iζ6−ζ14−ζ22−ζ6+ζ14−ζ38−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−i−ζ6+ζ14+ζ22ζ6−ζ14+ζ38ζ14−ζ22+ζ38ζ6+ζ22−ζ380000000000000000000000000000000000000000000000
χ1154-44-4−4i4i−4i4i4-4−1−5−1+51+51−5−1−5−1+51+51−5-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ36-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ362ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−1−5−1+51+51−50000-1ζ12−ζ28+ζ36ζ4−ζ12+ζ28ζ4+ζ12−ζ36−ζ4+ζ28+ζ361−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28−ζ4−ζ12+ζ36ζ4−ζ28−ζ36i−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38ζ6−ζ14−ζ22−ζ6+ζ14−ζ38−iζ6+ζ22−ζ38ζ14−ζ22+ζ38−ζ6+ζ14+ζ22ζ6−ζ14+ζ38i−ζ6−ζ22+ζ38−ζ14+ζ22−ζ38ζ6−ζ14−ζ22−ζ6+ζ14−ζ38−iζ6+ζ22−ζ38ζ14−ζ22+ζ38−ζ6+ζ14+ζ22ζ6−ζ14+ζ380000000000000000000000000000000000000000000000
χ1164-44-4−4i4i−4i4i4-4−1−5−1+51+51−5−1−5−1+51+51−5-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ36-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ362ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38−1−5−1+51+51−50000-1ζ4−ζ12+ζ28ζ12−ζ28+ζ36−ζ4+ζ28+ζ36ζ4+ζ12−ζ361−ζ4+ζ12−ζ28−ζ12+ζ28−ζ36ζ4−ζ28−ζ36−ζ4−ζ12+ζ36i−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−iζ14−ζ22+ζ38ζ6+ζ22−ζ38ζ6−ζ14+ζ38−ζ6+ζ14+ζ22i−ζ14+ζ22−ζ38−ζ6−ζ22+ζ38−ζ6+ζ14−ζ38ζ6−ζ14−ζ22−iζ14−ζ22+ζ38ζ6+ζ22−ζ38ζ6−ζ14+ζ38−ζ6+ζ14+ζ220000000000000000000000000000000000000000000000
χ1174-4-44000000−1+5−1−51−51+51−51+5−1+5−1−54−1+5−1+5−1−5−1−54−1+5−1+5−1−5−1−5-41−51−51+51+5-41−51−51+51+50000000000004i−4i−4i4i000000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ1184-4-44000000−1+5−1−51−51+51−51+5−1+5−1−54−1+5−1+5−1−5−1−54−1+5−1+5−1−5−1−5-41−51−51+51+5-41−51−51+51+5000000000000−4i4i4i−4i0000000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000
χ1194-4-44000000−1−5−1+51+51−51+51−5−1−5−1+54−1−5−1−5−1+5−1+54−1−5−1−5−1+5−1+5-41+51+51−51−5-41+51+51−51−50000000000004i−4i−4i4i000000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ1204-4-44000000−1−5−1+51+51−51+51−5−1−5−1+54−1−5−1−5−1+5−1+54−1−5−1−5−1+5−1+5-41+51+51−51−5-41+51+51−51−5000000000000−4i4i4i−4i0000000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000
χ12188-8-80000008888-8-8-8-8-2-2-2-2-22222222222-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8000000−2+25−2−25−2+25−2−252−252+252−252+25-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ2822ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ2822ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ2800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8000000−2+25−2−25−2+25−2−252−252+252−252+25-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ362−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ36-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8000000−2−25−2+25−2−25−2+252+252−252+252−25-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ362−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12588-8-8000000−2−25−2+25−2−25−2+252+252−252+252−25-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ362−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8800000088-8-8-8-888-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88000000−2+25−2−252−252+252−252+25−2+25−2−25-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28-2−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ2822ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ2822ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ36−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ2800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88000000−2+25−2−252−252+252−252+25−2+25−2−25-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36-22ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ362−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88000000−2−25−2+252+252−252+252−25−2−25−2+25-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ36-22ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ282ζ4+2ζ12−2ζ36−2ζ4+2ζ28+2ζ362−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ362−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28−2ζ4−2ζ12+2ζ362ζ4−2ζ28−2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88000000−2−25−2+252+252−252+252−25−2−25−2+25-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ36-22ζ4−2ζ12+2ζ282ζ12−2ζ28+2ζ36−2ζ4+2ζ28+2ζ362ζ4+2ζ12−2ζ362−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ362−2ζ4+2ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ4−2ζ28−2ζ36−2ζ4−2ζ12+2ζ3600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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