Finite Group Databasebeta

← Group #13101423

Character table — Group #13101423

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444202020202020202020202020202020202020202020202020202020202020202020202020202020205050505050505050
order12222222444455551010101010101010101010101010101010101010101010101010101055551010101010101010101010101010101010101010101010101010101020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202020202044444444202020202020202020202020202020202020202020202020202020202020202044444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ711111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ911-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ1011-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii
χ1111-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i-11i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ1211-11-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii-11−ii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i
χ1311-11-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1i−i-11−ii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i
χ1411-11-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1−ii-11i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i−i−iii
χ1511-11-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11i−i1-1−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−iii
χ1611-11-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11−ii1-1i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−iiiii−i−i
χ1722222222222222−1+52−1−522222−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222002200−1+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+52−1−52−1−5200000000
χ1822222222222222−1+52−1−522222−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-200-2-2001−521−521+521+521−521−521+521+5200000000000000001−521−521+521+521−521−521+521+5200000000
χ1922222222222222−1−52−1+522222−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222002200−1−52−1−52−1+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+5200000000
χ2022222222222222−1−52−1+522222−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-200-2-2001+521+521−521−521+521+521−521−5200000000000000001+521+521−521−521+521+521−521−5200000000
χ21222222222222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−5222222222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022002200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ22222222222222−1+52−1−5222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−5222222222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-200-2-2000000001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ23222222222222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+5222222222−1−52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022002200000000−1−52−1−52−1+52−1+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
χ24222222222222−1−52−1+5222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+5222222222−1−52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-200-2-2000000001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ2522222222-2-2-2-222−1+52−1−522222−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+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+521+521+521+521+521+521+521+522200-2-200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000001−521−521+521+521−521−521+521+5200000000
χ2622222222-2-2-2-222−1+52−1−522222−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+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+521+521+521+521+521+521+521+52-2-20022001−521−521+521+521−521−521+521+520000000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ2722222222-2-2-2-222−1−52−1+522222−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−522200-2-200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000001+521+521−521−521+521+521−521−5200000000
χ2822222222-2-2-2-222−1−52−1+522222−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−52-2-20022001+521+521−521−521+521+521−521−520000000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
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χ1604-4-444-44-4−4i4i4i−4i−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−51+5−1−51−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51−5−1−5−1+51+5−1−51−5−1+51+51−53+52-1-13−52−3−523+521-11-1−3+523−52−3−523+52−3−523+521-11-11-11-1−3+523−52−3+523−52−3−5211−3+522ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19ii−i−iii−i−i−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19ζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ192ζ3+2ζ7+ζ11+ζ192ζ3+2ζ7+ζ11+ζ19−2ζ3−2ζ7−ζ11−ζ19−2ζ3−2ζ7−ζ11−ζ19−i−iii−i−iiiζ3+ζ7+2ζ11+2ζ19ζ3+ζ7+2ζ11+2ζ19−ζ3−ζ7−2ζ11−2ζ19−ζ3−ζ7−2ζ11−2ζ19000000000000000000000000000000000000000000000000
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χ1624-4-4-4-4444000044−1−5−1+5-4-4-4-41+51−5-44-441+5−1−5−1−51+51−5−1+5−1+51−5441+51−54-44-4−1−5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−51+5−1−5−1−51+51+5−1−5−1−51+51−5−1+5−1+51−51−5−1+5−1+51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1634-4-4-4-44440000−1+5−1−5441−51−51+51+5-4-41−5−1+51+5−1−5-444-4-444-4−1+5−1−5-4-4−1+51−5−1−51+544−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-4-44440000−1+5−1−5−1+5−1−51−51−51+51+51−51+51−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−51−51+5−1+51−5−1−51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−52−3+523−523−52−3+521-1-111-1-11−3−523+523+52−3−523−52-1-13+5200000000000000005+52−5−52−5−525+525−5−555−5−55−5+525−525−52−5+52−5−525+525+52−5−52−555−5−555−55−52−5+52−5+525−52000000000000000000000000000000000000000000000000
χ1654-4-4-4-44440000−1+5−1−5−1+5−1−51−51−51+51+51−51+51−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5−1+5−1−51−51+5−1+51−5−1−51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−52−3+523−523−52−3+521-1-111-1-11−3−523+523+52−3−523−52-1-13+520000000000000000−5−525+525+52−5−52−555−5−555−55−52−5+52−5+525−525+52−5−52−5−525+525−5−555−5−55−5+525−525−52−5+52000000000000000000000000000000000000000000000000
χ1664-4-4-4-44440000−1+5−1−5−1−5−1+51−51−51+51+51+51−51−5−1+51+5−1−51+5−1−5−1−51+51−5−1+5−1+51−5−1+5−1−51+51−5−1+51−5−1−51+5−1−5−1+5-13+523−52-111−3−52−3−52−3+52−3+52111-1-11−3−523+523+52−3−52−3+523−523−52−3+521-1-11-13+523−52-100000000000000005−5−555−52−5+52−5+525−52−5−525+525+52−5−525−5−55−555−5−5+525−525−52−5+525+52−5−52−5−525+52−555−5000000000000000000000000000000000000000000000000
χ1674-4-4-4-44440000−1+5−1−5−1−5−1+51−51−51+51+51+51−51−5−1+51+5−1−51+5−1−5−1−51+51−5−1+5−1+51−5−1+5−1−51+51−5−1+51−5−1−51+5−1−5−1+5-13+523−52-111−3−52−3−52−3+52−3+52111-1-11−3−523+523+52−3−52−3+523−523−52−3+521-1-11-13+523−52-10000000000000000−555−5−5+525−525−52−5+525+52−5−52−5−525+52−555−55−5−555−52−5+52−5+525−52−5−525+525+52−5−525−5−55000000000000000000000000000000000000000000000000
χ1684-4-4-4-44440000−1−5−1+5441+51+51−51−5-4-41+5−1−51−5−1+5-444-4-444-4−1−5−1+5-4-4−1−51+5−1+51−544−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1694-4-4-4-44440000−1−5−1+5−1+5−1−51+51+51−51−51−51+51+5−1−51−5−1+51−5−1+5−1+51−51+5−1−5−1−51+5−1−5−1+51−51+5−1−51+5−1+51−5−1+5−1−5-13−523+52-111−3+52−3+52−3−52−3−52111-1-11−3+523−523−52−3+52−3−523+523+52−3−521-1-11-13−523+52-100000000000000005−5−55−5−525+525+52−5−525−52−5+52−5+525−525−5−55−555−55+52−5−52−5−525+52−5+525−525−52−5+52−555−5000000000000000000000000000000000000000000000000
χ1704-4-4-4-44440000−1−5−1+5−1+5−1−51+51+51−51−51−51+51+5−1−51−5−1+51−5−1+5−1+51−51+5−1−5−1−51+5−1−5−1+51−51+5−1−51+5−1+51−5−1+5−1−5-13−523+52-111−3+52−3+52−3−52−3−52111-1-11−3+523−523−52−3+52−3−523+523+52−3−521-1-11-13−523+52-10000000000000000−555−55+52−5−52−5−525+52−5+525−525−52−5+52−555−55−5−55−5−525+525+52−5−525−52−5+52−5+525−525−5−55000000000000000000000000000000000000000000000000
χ1714-4-4-4-44440000−1−5−1+5−1−5−1+51+51+51−51−51+51−51+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+52−3−523+523+52−3−521-1-111-1-11−3+523−523−52−3+523+52-1-13−5200000000000000005−52−5+52−5+525−52−555−5−555−5−5−525+525+52−5−52−5+525−525−52−5+525−5−555−5−555+52−5−52−5−525+52000000000000000000000000000000000000000000000000
χ1724-4-4-4-44440000−1−5−1+5−1−5−1+51+51+51−51−51+51−51+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5−1−5−1+51+51−5−1−51+5−1+51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+52−3−523+523+52−3−521-1-111-1-11−3+523−523−52−3+523+52-1-13−520000000000000000−5+525−525−52−5+525−5−555−5−555+52−5−52−5−525+525−52−5+52−5+525−52−555−5−555−5−5−525+525+52−5−52000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.