Finite Group Databasebeta

← Group #147393

Character table — Group #147393

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111111111111122222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222216161616161616161616161616161616
order122222222222222244444444444444444444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616164444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1-1-11-1-11iiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i11-1-1ii−i−i11-1-1
χ10111111-1-1-1-1-1-11-1-11iiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-1-111−i−iii-1-111
χ11111111-1-1-1-1-1-11-1-11iiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i11-1-1−i−iii-1-111
χ12111111-1-1-1-1-1-11-1-11iiiiiiii−i−i−i−i−i−i−i−i111-1-1-11-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii-1-111ii−i−i11-1-1
χ13111111-1-1-1-1-1-11-1-11−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-1-111ii−i−i-1-111
χ14111111-1-1-1-1-1-11-1-11−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii11-1-1−i−iii11-1-1
χ15111111-1-1-1-1-1-11-1-11−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i-1-111−i−iii11-1-1
χ16111111-1-1-1-1-1-11-1-11−i−i−i−i−i−i−i−iiiiiiiii111-1-1-11-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii11-1-1ii−i−i-1-111
χ17111-1-1-1111-1-1-1-11-11iiii−i−i−i−iiiii−i−i−i−i1-1-111-11-11111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i1-11-1
χ18111-1-1-1111-1-1-1-11-11iiii−i−i−i−iiiii−i−i−i−i1-1-111-11-11111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11−ii−ii−ii−ii-11-11
χ19111-1-1-1111-1-1-1-11-11iiii−i−i−i−iiiii−i−i−i−i1-1-111-11-11111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1i−ii−i−ii−ii-11-11
χ20111-1-1-1111-1-1-1-11-11iiii−i−i−i−iiiii−i−i−i−i1-1-111-11-11111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11−ii−iii−ii−i1-11-1
χ21111-1-1-1111-1-1-1-11-11−i−i−i−iiiii−i−i−i−iiiii1-1-111-11-11111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1−ii−iii−ii−i-11-11
χ22111-1-1-1111-1-1-1-11-11−i−i−i−iiiii−i−i−i−iiiii1-1-111-11-11111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11i−ii−i−ii−ii1-11-1
χ23111-1-1-1111-1-1-1-11-11−i−i−i−iiiii−i−i−i−iiiii1-1-111-11-11111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii1-11-1
χ24111-1-1-1111-1-1-1-11-11−i−i−i−iiiii−i−i−i−iiiii1-1-111-11-11111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11i−ii−ii−ii−i-11-11
χ25111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii−iii−i-111-1-111-1
χ26111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−ii−i−ii1-1-111-1-11
χ27111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii−iii−i1-1-111-1-11
χ28111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−ii−i−ii-111-1-111-1
χ29111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iii−i−ii-111-11-1-11
χ30111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−iii−i1-1-11-111-1
χ31111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iii−i−ii1-1-11-111-1
χ32111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−iii−i-111-11-1-11
χ332222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ34222222222222222222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000
χ35222222222222222222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000
χ362222222222222222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000
χ372222222222222222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ39222222-2-2-2-2-2-22-2-222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i222-2-2-22-2-2-2-2-2-2-2222222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ40222222-2-2-2-2-2-22-2-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-2-2222-22000000000000000000000000000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ41222222-2-2-2-2-2-22-2-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-2-2222-2200000000000000000000000000000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ42222222-2-2-2-2-2-22-2-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-2-2222-22000000000000000000000000000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ43222222-2-2-2-2-2-22-2-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-2-2222-2200000000000000000000000000000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ44222222-2-2-2-2-2-22-2-22−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i222-2-2-22-2-2-2-2-2-2-22222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ45222-2-2-2222-2-2-2-22-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-2-222-22-2-2-2-2-222-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ46222-2-2-2222-2-2-2-22-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-222-2-22-2200000000000000000000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222220000000000000000
χ47222-2-2-2222-2-2-2-22-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-222-2-22-2200000000000000000000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−20000000000000000
χ48222-2-2-2222-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-222-2-22-2200000000000000000000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−20000000000000000
χ49222-2-2-2222-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-222-2-22-2200000000000000000000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222220000000000000000
χ50222-2-2-2222-2-2-2-22-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2-2-222-22-2-2-2-2-222-2-222222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ51222-2-2-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ52222-2-2-2-2-2-2222-2-22222-2-2-2-222-2-22222-2-2-22222-2-2-200000000000000000000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ53222-2-2-2-2-2-2222-2-22222-2-2-2-222-2-22222-2-2-22222-2-2-200000000000000000000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ54222-2-2-2-2-2-2222-2-222-2-22222-2-222-2-2-2-222-22222-2-2-200000000000000000000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ55222-2-2-2-2-2-2222-2-222-2-22222-2-222-2-2-2-222-22222-2-2-200000000000000000000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ56222-2-2-2-2-2-2222-2-222-2-2-2-222222222-2-2-2-22-2-2-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ5722-222-222-222-2-2-2-2-2002-2002-2002-2002-20000000022−2−22−22−222−2−222−2−222−2−222−2−222−2−22−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ70000000000000000
χ5822-222-222-222-2-2-2-2-2002-2002-2002-2002-20000000022−2−22−22−222−2−222−2−222−2−222−2−222−2−22−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000000000000000
χ5922-222-222-222-2-2-2-2-2002-2002-2002-2002-200000000−2−222−22−22−2−222−2−222−2−222−2−222−2−222−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000000000000000
χ6022-222-222-222-2-2-2-2-2002-2002-2002-2002-200000000−2−222−22−22−2−222−2−222−2−222−2−222−2−222−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000000000000000
χ6122-222-222-222-2-2-2-2-200-2200-2200-2200-220000000022−2−22−22−222−2−2−2−222−2−222−2−222−2−2222−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000000000000000
χ6222-222-222-222-2-2-2-2-200-2200-2200-2200-220000000022−2−22−22−222−2−2−2−222−2−222−2−222−2−2222−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ70000000000000000
χ6322-222-222-222-2-2-2-2-200-2200-2200-2200-2200000000−2−222−22−22−2−22222−2−222−2−222−2−222−2−2−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000000000000000
χ6422-222-222-222-2-2-2-2-200-2200-2200-2200-2200000000−2−222−22−22−2−22222−2−222−2−222−2−222−2−2−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000000000000000
χ6522-222-2-2-22-2-22-222-2002i−2i002i−2i00−2i2i00−2i2i0000000022−2−22−2−22−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22−2−22ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
χ6622-222-2-2-22-2-22-222-2002i−2i002i−2i00−2i2i00−2i2i0000000022−2−22−2−22−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22−2−22−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ6722-222-2-2-22-2-22-222-2002i−2i002i−2i00−2i2i00−2i2i00000000−2−222−222−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−222−2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000000000000000
χ6822-222-2-2-22-2-22-222-2002i−2i002i−2i00−2i2i00−2i2i00000000−2−222−222−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−222−2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000000000000000
χ6922-222-2-2-22-2-22-222-200−2i2i00−2i2i002i−2i002i−2i0000000022−2−22−2−22−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22−2−22ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000000000000000
χ7022-222-2-2-22-2-22-222-200−2i2i00−2i2i002i−2i002i−2i0000000022−2−22−2−22−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22−2−22−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000000000000000
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χ1522-2-2-222-2222-2-2-2-2220000000000000000-22-22-222-2-222-222-2-2-222-20000000000000000-2-222−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.