Finite Group Databasebeta

← Group #14412096

Character table — Group #14412096

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size1111222222444444444444222244444488888888888822224444448888888888882222444444888888888888222244444488888888888822224444448888888888882222444444888888888888222244444488888888888815151515303030303030606060606060606060606060
order124422244422448888888836121266612121266121224242424242424245102020101010202020101020204040404040404040510202010101020202010102020404040404040404015306060303030606060303060601201201201201201201201201530606030303060606030306060120120120120120120120120153060603030306060603030606012012012012012012012012015306060303030606060303060601201201201201201201201202244222444224488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ511111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i
χ611111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii
χ711111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii
χ811111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i
χ911-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i
χ1011-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii
χ1111-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii
χ1211-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i
χ1311-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-11
χ1411-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-1
χ1511-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-1
χ1611-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-11
χ172222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-2000000000000
χ182222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-22000000000000
χ1922-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-22000000000000
χ2022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-2000000000000
χ214-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i0000000000000000004-44i−4i000000000000000000
χ224-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i0000000000000000004-4−4i4i000000000000000000
χ2311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ251111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ2711111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i11111-1-11-1-11-11-1ii−i−iii−i−i-1-1-1-1-111-111-11-11−i−iii−i−iii
χ2811111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii11111-1-11-1-11-11-1−i−iii−i−iii-1-1-1-1-111-111-11-11ii−i−iii−i−i
χ2911111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii11111-1-11-1-1-11-11ii−i−i−i−iii-1-1-1-1-111-1111-11-1−i−iiiii−i−i
χ3011111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i11111-1-11-1-1-11-11−i−iiiii−i−i-1-1-1-1-111-1111-11-1ii−i−i−i−iii
χ3111-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i11-1-1111-1-1-11-1-11i−ii−ii−ii−i-1-111-1-1-1111-111-1−ii−ii−ii−ii
χ3211-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii11-1-1111-1-1-11-1-11−ii−ii−ii−ii-1-111-1-1-1111-111-1i−ii−ii−ii−i
χ3311-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii11-1-1111-1-1-1-111-1i−ii−i−ii−ii-1-111-1-1-11111-1-11−ii−iii−ii−i
χ3411-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i11-1-1111-1-1-1-111-1−ii−iii−ii−i-1-111-1-1-11111-1-11i−ii−i−ii−ii
χ3511-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-1111-1-11-1-1-11111-1-11-1-111-1-11-1-111-1111-1-1-1-111-111-1-111-1
χ3611-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-111-1-11-1-1-11111-1-1-111-1-111-1-1-111-1111-1-1-1-1111-1-111-1-11
χ3711-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-111-1-11-1-1-111-1-1111-1-11-111-1-1-111-1111-1-111-1-1-111-11-1-11
χ3811-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-1111-1-11-1-1-111-1-111-111-11-1-11-1-111-1111-1-111-1-11-1-11-111-1
χ392222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-20000000000002222-22-2-22-2000000000000-2-2-2-22-222-22000000000000
χ402222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-22000000000000-2-2-2-222-222-2000000000000
χ4122-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-2200000000000022-2-2-22-22-22000000000000-2-2222-22-22-2000000000000
χ4222-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-200000000000022-2-2-2-2222-2000000000000-2-22222-2-2-22000000000000
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χ18722-2-2222-2-2-2-222-22i−2i2i−2i−2i2i−2i2i-1-111-1-1-11111-1-11−ii−iii−ii−i−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ31+ζ59−ζ31−ζ59ζ31+ζ59−ζ31−ζ59−ζ31−ζ59ζ31+ζ59−ζ31−ζ59ζ31+ζ59−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ43+ζ47−ζ43−ζ47ζ43+ζ47−ζ43−ζ47−ζ43−ζ47ζ43+ζ47−ζ43−ζ47ζ43+ζ470000000000000000000000
χ18822-2-2222-2-2-2-222-2−2i2i−2i2i2i−2i2i−2i-1-111-1-1-11111-1-11i−ii−i−ii−ii−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ31−ζ59ζ31+ζ59−ζ31−ζ59ζ31+ζ59ζ31+ζ59−ζ31−ζ59ζ31+ζ59−ζ31−ζ59−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ43−ζ47ζ43+ζ47−ζ43−ζ47ζ43+ζ47ζ43+ζ47−ζ43−ζ47ζ43+ζ47−ζ43−ζ470000000000000000000000
χ18922-2-22-2-2-22222-2-22-2-222-2-22-1-111-1111-1-1-1-111-111-1-111-1−1−52−1−521+521+52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ580000000000000000000000
χ19022-2-22-2-2-22222-2-2-222-2-222-2-1-111-1111-1-1-1-1111-1-111-1-11−1−52−1−521+521+52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−521+52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+521−52−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ580000000000000000000000
χ19122-2-22-2-2-222-2-2222-2-22-222-2-1-111-1111-1-111-1-1-111-11-1-11−1−52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−52−1−521+52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+52−1+521−52−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ580000000000000000000000
χ19222-2-22-2-2-222-2-222-222-22-2-22-1-111-1111-1-111-1-11-1-11-111-1−1−52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−52−1−521+52−1−521+521+52−1−52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+52−1+521−52−1+521−521−52−1+52−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ580000000000000000000000
χ1934444-44-4-44-4000000000000-2-2-2-22-222-22000000000000−1−5−1−5−1−5−1−51+5−1−51+51+5−1−51+5000000000000−1+5−1+5−1+5−1+51−5−1+51−51−5−1+51−5000000000000−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34000000000000−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46000000000000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ580000000000000000000000000000000000
χ1944444-4-44-4-44000000000000-2-2-2-222-222-2000000000000−1−5−1−5−1−5−1−51+51+5−1−51+51+5−1−5000000000000−1+5−1+5−1+5−1+51−51−5−1+51−51−5−1+5000000000000−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34000000000000−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ580000000000000000000000000000000000
χ19544-4-4-44-44-44000000000000-2-2222-22-22-2000000000000−1−5−1−51+51+51+5−1−51+5−1−51+5−1−5000000000000−1+5−1+51−51−51−5−1+51−5−1+51−5−1+5000000000000−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ34000000000000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46000000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ580000000000000000000000000000000000
χ19644-4-4-4-4444-4000000000000-2-22222-2-2-22000000000000−1−5−1−51+51+51+51+5−1−5−1−5−1−51+5000000000000−1+5−1+51−51−51−51−5−1+5−1+5−1+51−5000000000000−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ34000000000000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46000000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ580000000000000000000000000000000000
χ1978-88i−8i000000000000000000-44−4i4i000000000000000000−2−252+25−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59000000000000000000−2+252−25−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47000000000000000000−4ζ26−4ζ344ζ26+4ζ344ζ11+4ζ19−4ζ11−4ζ19000000000000000000−4ζ14−4ζ464ζ14+4ζ464ζ31+4ζ59−4ζ31−4ζ59000000000000000000−4ζ22−4ζ384ζ22+4ζ384ζ7+4ζ23−4ζ7−4ζ23000000000000000000−4ζ2−4ζ584ζ2+4ζ584ζ43+4ζ47−4ζ43−4ζ470000000000000000000000000000000000000000
χ1988-8−8i8i000000000000000000-444i−4i000000000000000000−2−252+254ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59000000000000000000−2+252−254ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47000000000000000000−4ζ26−4ζ344ζ26+4ζ34−4ζ11−4ζ194ζ11+4ζ19000000000000000000−4ζ14−4ζ464ζ14+4ζ46−4ζ31−4ζ594ζ31+4ζ59000000000000000000−4ζ22−4ζ384ζ22+4ζ38−4ζ7−4ζ234ζ7+4ζ23000000000000000000−4ζ2−4ζ584ζ2+4ζ58−4ζ43−4ζ474ζ43+4ζ470000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.