Finite Group Databasebeta

← Group #72225238

Character table — Group #72225238

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111111122222222222244444444444444444444444444444444444444448888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323264646464
order1222222244444444444444444444888888888888888888888888888888882222222244444444888888884444444488888888888888881616161616161616161616161616161622224444161616161616161616161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−i
χ1011111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ1111111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iii
χ1211111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ1311111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ1411111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ1511111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ1611111111-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii
χ1711-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-11-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ1811-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-11-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ1911-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii11-1-111-1-11-1i−i-11−ii11-1-1ii−i−i-1-111−i−iiiζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ2011-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii11-1-111-1-11-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ2111-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i11-1-111-1-1-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ2211-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i11-1-111-1-1-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ2311-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1-11−ii-11−ii-1-111−i−iii-1-111−i−iiiζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ2411-111-1-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1-11−ii-11−ii-1-111−i−iii-1-111−i−iii−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ2511-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-111-1-11-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iiiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ2611-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-111-1-11-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ2711-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i11-1-111-1-11-1−ii-11i−i11-1-1−i−iii-1-111ii−i−iζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ2811-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i11-1-111-1-11-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ2911-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii11-1-111-1-1-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iiiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ3011-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii11-1-111-1-1-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ3111-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i11-1-111-1-1-11i−i-11i−i-1-111ii−i−i-1-111ii−i−iζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ3211-111-1-1-1−i−iii11-1-111-1-1−i−iii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i11-1-111-1-1-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ33222222222222222222222222222222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-222-2-200002222000022222-22-2-2-2-2-20000222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ34222222222222222222222222222222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-222-2-20000-2-2-2-20000-2-2-2-22-22-2-2-2-2-20000-2-2-2-2000000002222222200000000000000000000000000000000000000000000
χ352222222222222222222222222222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-2222222000022220000-22-22-2-2-2-222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ362222222222222222222222222222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-20000-2-2-2-20000-22-22-2-2-2-2-2-2-2-20000222222220000000000000000000000000000000000000000000000000000
χ372222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000000000000000000000000000002-22-22-22-200000000000000000000
χ382222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000000000000000-22-22-22-2200000000000000000000
χ392222222222222-22-22-22-22-22-2-2-2-2-200220022002200220000000000-2-200-2-222220000222200000-20-20000-2-2-2-200000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ402222222222222-22-22-22-22-22-2-2-2-2-200220022002200220000000000-2-200-2-222220000222200000-20-20000-2-2-2-200000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ412222222222222-22-22-22-22-22-2-2-2-2-200220022002200220000000000-2-200-2-2-2-2-2-20000-2-2-2-200000-20-20000222200000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ422222222222222-22-22-22-22-22-2-2-2-2-200220022002200220000000000-2-200-2-2-2-2-2-20000-2-2-2-200000-20-20000222200000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ43222222222222-22-22-22-22-22-22-2-2-2-2220022002200220000000000-2-200-2-2000000222200002222-20-2000000000-2-2-2-20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i20000
χ44222222222222-22-22-22-22-22-22-2-2-2-2220022002200220000000000-2-200-2-2000000222200002222-20-2000000000-2-2-2-20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i20000
χ45222222222222-22-22-22-22-22-22-2-2-2-2220022002200220000000000-2-200-2-2000000-2-2-2-20000-2-2-2-2-20-200000000022220000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000−i2i2−i2i2−i2i2−i2i20000
χ46222222222222-22-22-22-22-22-22-2-2-2-2220022002200220000000000-2-200-2-2000000-2-2-2-20000-2-2-2-2-20-200000000022220000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000i2−i2i2−i2i2−i2i2−i20000
χ4722222222-2-2-2-222222222-2-2-2-222-2-222-2-222-2-2-2-222-2-22222222222-2-222-2-222000022220000-2-2-2-22-22-2-2-2-2-2000022-2-200000000-2-2-2-2222200000000000000000000000000000000000000000000
χ4822222222-2-2-2-222222222-2-2-2-222-2-222-2-222-2-2-2-222-2-22222222222-2-222-2-2220000-2-2-2-2000022222-22-2-2-2-2-20000-2-222000000002222-2-2-2-200000000000000000000000000000000000000000000
χ4922222222-2-2-2-222222222-2-2-2-222-2-2-2-222-2-22222-2-222-2-22222222222-2-222-2-222220000-2-2-2-20000-22-22-2-2-2-222-2-20000-2-2-2-222220000000000000000000000000000000000000000000000000000
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χ1174-44-44-44-40000-404040-400000000000-4400-442i2−2i2002i2−2i200−2i22i2−2i22i2−2i22i2−2i22i22i2−2i2002i2−2i2004-44-4000000000000000000000000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000000000
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χ1204-44-44-44-40000-404040-400000000000-4400-44−2i22i200−2i22i2002i2−2i22i2−2i22i2−2i22i2−2i2−2i22i200−2i22i200-44-44000000000000000000000000000000002i2−2i22i2−2i20000000000000000000000000000000000000000000000000000
χ1214-4-44-4-44400000-40-40404000000004-400-44000022−2200−22222222−22−22−22−2222220022−2200−22220000000000004-4-4400000000000000000000000022−22−2222000000000000000000000000000000000000000000000000
χ1224-4-44-4-44400000-40-40404000000004-400-44000022−2200−22222222−22−22−22−2222220022−2200−2222000000000000-444-4000000000000000000000000−222222−22000000000000000000000000000000000000000000000000
χ1234-4-44-4-44400000-40-40404000000004-400-440000−22220022−22−22−2222222222−22−2200−22220022−220000000000004-4-44000000000000000000000000−222222−22000000000000000000000000000000000000000000000000
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χ1274-4-44-4-44400000-40-4040400000000-44004-40000−22220022−222222−22−22−22−22222200−22220022−2200004-4-44000000000000000000000000000000000000−222222−2200000000000000000000000000000000000000000000
χ1284-4-44-4-44400000-40-4040400000000-44004-40000−22220022−222222−22−22−22−22222200−22220022−220000-444-400000000000000000000000000000000000022−22−222200000000000000000000000000000000000000000000
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χ137888-8-8-8-888-88-8000000000000000000000000000000004-4-444-4-4400000000000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000
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χ14188-8-8-888-88i−8i−8i8i000000000000000000000000000000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
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χ14388-8-8-888-8−8i8i8i−8i000000000000000000000000000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ14488-8-8-888-8−8i8i8i−8i00000000000000000000000000000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1458-888-88-8-80000080-80-8080000000000000000004i2−4i2004i2−4i20000000000−4i24i200−4i24i200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-888-88-8-80000080-80-808000000000000000000−4i24i200−4i24i200000000004i2−4i2004i2−4i200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-88-88-8000080-80-808000000000000000004i2−4i2004i2−4i20000000000−4i24i200−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-88-88-8000080-80-80800000000000000000−4i24i200−4i24i200000000004i2−4i2004i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-8-888000008080-80-800000000000000000042−4200−42420000000000−42420042−4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-8-888000008080-80-8000000000000000000−42420042−42000000000042−4200−424200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-8-8-888-8800008080-80-80000000000000000042−4200−42420000000000−42420042−420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-8-888-8800008080-80-800000000000000000−42420042−42000000000042−4200−42420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.