Finite Group Databasebeta

← Group #13144004

Character table — Group #13144004

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111666699911166669991116666999111666699922212121212181818222121212121818182221212121218181822212121212181818222121212121818182221212121218181844424242424363636444242424243636364442424242436363644424242424363636
order1333333266266666626626666662662666666266412121212121241212412121212121241212824242424242482424824242424242482424824242424242482424824242424242482424412121212121241212412121212121241212412121212121241212412121212121241212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ32222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ4222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000
χ5222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000
χ6222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000
χ73−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ83−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ93−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ103−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ121111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ132222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000
χ14222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000
χ15222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000
χ16222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000
χ173−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ183−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ193−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ203−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ221111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ232222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000
χ24222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000
χ25222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000
χ26222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000
χ273−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ283−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ293−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ303−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ321111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1
χ332222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000
χ34222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000
χ35222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000
χ36222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000
χ373−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ383−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ393−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ403−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ411111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1
χ421111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111iiiiiii−i−i−iiiiiiii−i−i−i−i−i−i−i−i−i−iiii−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiii1111111-1-1-1-1-1-1-1-1-1-1111
χ432222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000-2-2-2-21110002i2i2i2i−i−i−i0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii0002222-1-1-1000-2-2-2-2111000
χ44222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000-2-2-21-2110002i2i2i−i2i−i−i0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000222-12-1-1000-2-2-21-211000
χ45222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000-2-2-211-210002i2i2i−i−i2i−i0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000222-1-12-1000-2-2-211-21000
χ46222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000-2-2-2111-20002i2i2i−i−i−i2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000222-1-1-12000-2-2-2111-2000
χ473−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323i3ζ143ζ220000iζ14ζ223i3ζ143ζ220000iζ14ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ223i3ζ143ζ220000iζ14ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ223−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32
χ483−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323i3ζ143ζ220000−i−ζ14−ζ223i3ζ143ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000iζ14ζ22−3i−3ζ14−3ζ220000iζ14ζ223i3ζ143ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000iζ14ζ223−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32
χ493−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323i3ζ223ζ140000iζ22ζ143i3ζ223ζ140000iζ22ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ143i3ζ223ζ140000iζ22ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ143−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32
χ503−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323i3ζ223ζ140000−i−ζ22−ζ143i3ζ223ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000iζ22ζ14−3i−3ζ22−3ζ140000iζ22ζ143i3ζ223ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000iζ22ζ143−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32
χ511111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-1-1-1-1-1-11111111111
χ521111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111iiiiiii−i−i−iiiiiiii−i−i−i−i−i−i−i−i−i−iiii−i−i−i−i−i−i−iiii−i−i−i−i−i−i−iiiiiiiiiii−i−i−i-1-1-1-1-1-1-11111111111-1-1-1
χ532222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000-2-2-2-21110002i2i2i2i−i−i−i0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000−2i−2i−2i−2iiii000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i000-2-2-2-21110002222-1-1-1000
χ54222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000-2-2-21-2110002i2i2i−i2i−i−i0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000−2i−2i−2ii−2iii000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000-2-2-21-211000222-12-1-1000
χ55222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000-2-2-211-210002i2i2i−i−i2i−i0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000−2i−2i−2iii−2ii000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000-2-2-211-21000222-1-12-1000
χ56222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000-2-2-2111-20002i2i2i−i−i−i2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000−2i−2i−2iiii−2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000-2-2-2111-2000222-1-1-12000
χ573−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323i3ζ143ζ220000iζ14ζ223i3ζ143ζ220000iζ14ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ223i3ζ143ζ220000iζ14ζ22-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32
χ583−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323i3ζ143ζ220000−i−ζ14−ζ223i3ζ143ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000iζ14ζ22−3i−3ζ14−3ζ220000iζ14ζ22−3i−3ζ14−3ζ220000iζ14ζ223i3ζ143ζ220000−i−ζ14−ζ22-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32
χ593−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323i3ζ223ζ140000iζ22ζ143i3ζ223ζ140000iζ22ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ143i3ζ223ζ140000iζ22ζ14-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32
χ603−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323i3ζ223ζ140000−i−ζ22−ζ143i3ζ223ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000iζ22ζ14−3i−3ζ22−3ζ140000iζ22ζ14−3i−3ζ22−3ζ140000iζ22ζ143i3ζ223ζ140000−i−ζ22−ζ14-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32
χ611111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-11111111111
χ621111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiii−i−i−i−i−i−i−iiiiiiiiiii−i−i−iiiiiiii−i−i−iiiiiiii−i−i−i−i−i−i−i−i−i−iiii-1-1-1-1-1-1-11111111111-1-1-1
χ632222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000-2-2-2-2111000−2i−2i−2i−2iiii000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i0002i2i2i2i−i−i−i0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii000-2-2-2-21110002222-1-1-1000
χ64222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000-2-2-21-211000−2i−2i−2ii−2iii000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i0002i2i2i−i2i−i−i0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii000-2-2-21-211000222-12-1-1000
χ65222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000-2-2-211-21000−2i−2i−2iii−2ii000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i0002i2i2i−i−i2i−i0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii000-2-2-211-21000222-1-12-1000
χ66222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000-2-2-2111-2000−2i−2i−2iiii−2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i0002i2i2i−i−i−i2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i000-2-2-2111-2000222-1-1-12000
χ673−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32−3i−3ζ14−3ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ223i3ζ143ζ220000iζ14ζ223i3ζ143ζ220000iζ14ζ223i3ζ143ζ220000iζ14ζ22−3i−3ζ14−3ζ220000−i−ζ14−ζ22-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32
χ683−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32−3i−3ζ14−3ζ220000iζ14ζ22−3i−3ζ14−3ζ220000iζ14ζ223i3ζ143ζ220000−i−ζ14−ζ223i3ζ143ζ220000−i−ζ14−ζ223i3ζ143ζ220000−i−ζ14−ζ22−3i−3ζ14−3ζ220000iζ14ζ22-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32
χ693−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32−3i−3ζ22−3ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ143i3ζ223ζ140000iζ22ζ143i3ζ223ζ140000iζ22ζ143i3ζ223ζ140000iζ22ζ14−3i−3ζ22−3ζ140000−i−ζ22−ζ14-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32
χ703−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32−3i−3ζ22−3ζ140000iζ22ζ14−3i−3ζ22−3ζ140000iζ22ζ143i3ζ223ζ140000−i−ζ22−ζ143i3ζ223ζ140000−i−ζ22−ζ143i3ζ223ζ140000−i−ζ22−ζ14−3i−3ζ22−3ζ140000iζ22ζ14-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32
χ711111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-1
χ721111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−iiii−i−i−i−i−i−i−iiiiiiiiiii−i−i−iiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i1111111-1-1-1-1-1-1-1-1-1-1111
χ732222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-10002222-1-1-1000-2-2-2-2111000−2i−2i−2i−2iiii000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i0002i2i2i2i−i−i−i000−2i−2i−2i−2iiii0002i2i2i2i−i−i−i0002222-1-1-1000-2-2-2-2111000
χ74222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000222-12-1-1000-2-2-21-211000−2i−2i−2ii−2iii000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i0002i2i2i−i2i−i−i000−2i−2i−2ii−2iii0002i2i2i−i2i−i−i000222-12-1-1000-2-2-21-211000
χ75222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000222-1-12-1000-2-2-211-21000−2i−2i−2iii−2ii000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i0002i2i2i−i−i2i−i000−2i−2i−2iii−2ii0002i2i2i−i−i2i−i000222-1-12-1000-2-2-211-21000
χ76222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000222-1-1-12000-2-2-2111-2000−2i−2i−2iiii−2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i0002i2i2i−i−i−i2i000−2i−2i−2iiii−2i0002i2i2i−i−i−i2i000222-1-1-12000-2-2-2111-2000
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χ1334444-2-2-2000-4-4-4-4222000-4-4-4-42220004444-2-2-2000-4-4-4-42220004444-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ134444-24-2-2000-4-4-42-422000-4-4-42-422000444-24-2-2000-4-4-42-422000444-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ135444-2-24-2000-4-4-422-42000-4-4-422-42000444-2-24-2000-4-4-422-42000444-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ136444-2-2-24000-4-4-4222-4000-4-4-4222-4000444-2-2-24000-4-4-4222-4000444-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1376−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i3-63−3i33+3i30000-21−i31+i36−3+3i3−3−3i300002−1+i3−1−i3-63−3i33+3i30000-21−i31+i36−3+3i3−3−3i300002−1+i3−1−i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1386−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i3-63−3i33+3i300002−1+i3−1−i36−3+3i3−3−3i30000-21−i31+i3-63−3i33+3i300002−1+i3−1−i36−3+3i3−3−3i30000-21−i31+i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1396−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i3-63+3i33−3i30000-21+i31−i36−3−3i3−3+3i300002−1−i3−1+i3-63+3i33−3i30000-21+i31−i36−3−3i3−3+3i300002−1−i3−1+i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1406−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i3-63+3i33−3i300002−1−i3−1+i36−3−3i3−3+3i30000-21+i31−i3-63+3i33−3i300002−1−i3−1+i36−3−3i3−3+3i30000-21+i31−i300000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.