Finite Group Databasebeta

← Group #12115154

Character table — Group #12115154

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888888888101010101010101010101010101010101616161616161616202020202020202020202020404040404040
order1222222244444444551010101010101010101010101010222222888888882020202020202020202020202020202044444410101010101010101010101020202020202020204040404040404040404040404040404044444444888888882020202020202020444444448888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111
χ9111111111-1-1-1-11111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1
χ10111111111-1-1-1-11111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111
χ11111111111-1-1-1-11111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1
χ12111111111-1-1-1-11111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ13111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111
χ14111111111-1-1-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1
χ15111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-111
χ16111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ17111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−ii−ii−i11-1-111-1-11-1i−ii−i
χ18111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-1-1-11111ii−i−iii−i−i−ii−ii-1-111-1-111-11−ii−ii
χ19111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111−i−iii−i−iiii−ii−i-1-111-1-111-11i−ii−i
χ20111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii−ii−ii11-1-111-1-11-1−ii−ii
χ21111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1−ii−ii-1111-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1−i−iii−i−iiii−ii−i-1-11111-1-1-11−ii−ii
χ22111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1−ii−ii-1111-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−iii−i−iii−ii−ii11-1-1-1-1111-1i−ii−i
χ23111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-1i−ii−i-1111-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111ii−i−iii−i−ii−ii−i11-1-1-1-1111-1−ii−ii
χ24111-1-11-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-111−i−iii−i−iii11111111-1-1-1-1-1-1-1-1i−ii−i-1111-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1ii−i−iii−i−i−ii−ii-1-11111-1-1-11i−ii−i
χ25111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-1111-1-1ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1i−i−ii-11-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1111-1-1-1-1ii−i−i−i−iiii−i−ii11-1-1-1-111-11i−i−ii
χ26111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-1111-1-1ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1i−i−ii-11-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-1-1-11111ii−i−i−i−iii−iii−i-1-11111-1-11-1−iii−i
χ27111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-1111-1-1−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1−iii−i-11-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-1-1-11111−i−iiiii−i−ii−i−ii-1-11111-1-11-1i−i−ii
χ28111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-1111-1-1−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1−iii−i-11-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1111-1-1-1-1−i−iiiii−i−i−iii−i11-1-1-1-111-11−iii−i
χ29111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-11-1-111ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1−iii−i1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1111-1-1-1-1−i−iiiii−i−ii−i−ii-1-111-1-1111-1−iii−i
χ30111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-11-1-111ii−i−i−i−iii1111-1-1-1-11111-1-1-1-1−iii−i1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i−iii−i11-1-111-1-1-11i−i−ii
χ31111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-11-1-111−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1i−i−ii1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-1-1-11111ii−i−i−i−iiii−i−ii11-1-111-1-1-11−iii−i
χ32111-1-11-1-11-1-111-1-11111111-1-1-1-1-1-1-1-111-11-1-111−i−iiiii−i−i1111-1-1-1-11111-1-1-1-1i−i−ii1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1111-1-1-1-1ii−i−i−i−iii−iii−i-1-111-1-1111-1i−i−ii
χ332222222222222222−1+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+52−1−5222222222222222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1+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+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+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+52−1−52222222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+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+52−1−5222-2-2-2-222222222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000001−521+521−521+521−521+521−521+52000000000000000000
χ362222222222222222−1+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+52−1−5222-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ372222222222222222−1−52−1+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+5222222222222222−1−52−1−52−1+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+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+52−1−52−1−52−1+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+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+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+52222222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+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+5222-2-2-2-222222222−1−52−1−52−1+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+52-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000001+521−521+521−521+521−521+521−52000000000000000000
χ402222222222222222−1−52−1+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+5222-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ41222222222-2-2-2-2222−1+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+52−1−52-2-222222222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ42222222222-2-2-2-2222−1+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+52−1−52-2-22222-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222-2-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
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χ11344-4-44-4-4404i−4i−4i4i000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+500000022−22−2222−2i22i22i2−2i20000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000000000000000
χ11444-4-44-4-4404i−4i−4i4i000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+5000000−222222−222i2−2i2−2i22i20000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000000000000000
χ11544-4-44-4-4404i−4i−4i4i000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−500000022−22−2222−2i22i22i2−2i20000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000000000
χ11644-4-44-4-4404i−4i−4i4i000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−5000000−222222−222i2−2i2−2i22i20000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000000000
χ11744-4-44-4-440−4i4i4i−4i000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+500000022−22−22222i2−2i2−2i22i200002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000000000000000
χ11844-4-44-4-440−4i4i4i−4i000−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−51−51+5000000−222222−22−2i22i22i2−2i200002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000000000000000
χ11944-4-44-4-440−4i4i4i−4i000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−500000022−22−22222i2−2i2−2i22i200002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000000000
χ12044-4-44-4-440−4i4i4i−4i000−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+51+51−5000000−222222−22−2i22i22i2−2i200002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000000000
χ1214-4444-4-4-40000000044-44-44-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ1224-4444-4-4-40000000044-44-44-4-4-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ1234-44-4-4-4440000000044-44-444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000
χ1244-44-4-4-4440000000044-44-444444-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000
χ1254-4-44-44-4440000-44-444-4-4-4-4-44-444-44-44400000000000000-44-4400000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-44-44-4440000-44-4−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5000000000000001−5−1+51+5−1−5000000001−5−1+51+5−1−50000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000000000
χ1274-4-44-44-4440000-44-4−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5000000000000001−5−1+51+5−1−5000000001−5−1+51+5−1−5000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000000000
χ1284-4-44-44-4440000-44-4−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5000000000000001+5−1−51−5−1+5000000001+5−1−51−5−1+5000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000000000
χ1294-4-44-44-4440000-44-4−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5000000000000001+5−1−51−5−1+5000000001+5−1−51−5−1+50000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000000000
χ1304-4-44-44-44-400004-44−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−5004-44-400000000−1+51−5−1−51+500000000−1+51−5−1−51+50000000000−1+51−5−1−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44-44-44-400004-44−1+5−1−51−51−51+51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−500-44-4400000000−1+51−5−1−51+500000000−1+51−5−1−51+500000000001−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-44-44-400004-44−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+5004-44-400000000−1−51+5−1+51−500000000−1−51+5−1+51−50000000000−1−51+5−1+51−5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-44-44-400004-44−1−5−1+51+51+51−51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+500-44-4400000000−1−51+5−1+51−500000000−1−51+5−1+51−500000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4444-4400004-4-444-4-4-4-44-44-4-44-444400000000000000-44-44000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4444-4400004-4-4−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−5000000000000001−5−1+51+5−1−500000000−1+51−5−1−51+50000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000000000000000000000
χ1364-4-4-4444-4400004-4-4−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−5000000000000001−5−1+51+5−1−500000000−1+51−5−1−51+5000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000000000000000000000
χ1374-4-4-4444-4400004-4-4−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+5000000000000001+5−1−51−5−1+500000000−1−51+5−1+51−5000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000000000000000000000
χ1384-4-4-4444-4400004-4-4−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+5000000000000001+5−1−51−5−1+500000000−1−51+5−1+51−50000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000000000000000000000
χ1394-4-4-4444-4-40000-444−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−5004-4-4400000000−1+51−5−1−51+5000000001−5−1+51+5−1−50000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-4-4444-4-40000-444−1+5−1−51−51−51+51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−500-444-400000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-4-4444-4-40000-444−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+5004-4-4400000000−1−51+5−1+51−5000000001+5−1−51−5−1+50000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-4-4444-4-40000-444−1−5−1+51+51+51−51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+500-444-400000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000
χ1438-8888-8-8-800000000−2+25−2−252−25−2+252+25−2−252−252−252+252+25−2+25−2+25−2−25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8888-8-8-800000000−2−25−2+252+25−2−252−25−2+252+252+252−252−25−2−25−2−25−2+25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-8-8-88800000000−2+25−2−252−25−2+252+25−2−25−2+25−2+25−2−25−2−252−252−252+252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-88-8-8-88800000000−2−25−2+252+25−2−252−25−2+25−2−25−2−25−2+25−2+252+252+252−252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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