Finite Group Databasebeta

← Group #11990278

Character table — Group #11990278

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111111122222222222222222222222244444444444444444444444444888888888888888888888888888888888888888888881010101010101010101010101616161616161616202020202020202020204040404040404040
order1222222244444444551010101010101010101010101010448888888820202020202020202020202020202020444488882020202040404040404040404040404040404040404040404040404040404040404040404444444444442020202020202020448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-111−i−i−i−iiiii-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-1111111111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111-1-1-1-1111111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-111iiii−i−i−i−i-1-111ii−i−i
χ1511111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-1-111ii−i−i
χ1611111111-1-1-1-1-1-1-1-1111111111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111-1-1-1-1111111iiii−i−i−i−i11-1-1−i−iii
χ171111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-111-1-1-1-111111-11-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-111-1-1-1-111111-11-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−ii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-111-1-1-1-11111-11-11-11-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i-1-111-1-111i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-111-1-1-1-11111-11-11-11-1111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iii-1-111-1-111−ii−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-111-1-1-1-111111-11-1-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i11-1-111-1-1i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-111-1-1-1-111111-11-1-11-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iii11-1-111-1-1−iiii−i−iii−i−i−ii−iii−ii−i
χ231111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-11-111-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i-1-111-1-111i−i−i−iii−i−iii−ii−iii−ii−i
χ241111-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-11-111-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii-1-111-1-111−iiii−i−iii−i−ii−ii−i−ii−ii
χ251111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1ii−i−i−i−iii-1-11111-1-11111-1-1-1-11-1-11i−i−ii11-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-1-111−ii-1-11111-1-1i−i−ii-111-1
χ261111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1ii−i−i−i−iii-1-11111-1-11111-1-1-1-11-1-11i−i−ii11-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i11-1-1-1-111i−i11-1-1-1-111−iii−i1-1-11
χ271111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1ii−i−i−i−iii-1-11111-1-11111-1-1-1-1-111-1−iii−i11-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii-1-11111-1-1−ii-1-11111-1-1−iii−i1-1-11
χ281111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1ii−i−i−i−iii-1-11111-1-11111-1-1-1-1-111-1−iii−i11-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-11111-1-1i−i11-1-1-1-111i−i−ii-111-1
χ291111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1−i−iiiii−i−i-1-11111-1-11111-1-1-1-11-1-11−iii−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii11-1-1-1-111−ii11-1-1-1-111i−i−ii1-1-11
χ301111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1−i−iiiii−i−i-1-11111-1-11111-1-1-1-11-1-11−iii−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-1-111i−i-1-11111-1-1−iii−i-111-1
χ311111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1−i−iiiii−i−i-1-11111-1-11111-1-1-1-1-111-1i−i−ii11-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-11111-1-1−ii11-1-1-1-111−iii−i-111-1
χ321111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111111-1−i−iiiii−i−i-1-11111-1-11111-1-1-1-1-111-1i−i−ii11-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-11111-1-1i−i-1-11111-1-1i−i−ii1-1-11
χ332222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1+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+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ342222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ352222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ362222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+521−521+521−521+52000000000000000000
χ372222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+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+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ382222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ392222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+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+521−521−52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ402222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−521+521−521+521−52000000000000000000
χ412222222222-2-22-22-22222222222222222-2-200000000222222-2-2-2-2-2-222-2-200000000-2-2-2-20000000000000000000000000000000022-2-222-2-2222200000000-2-20000000000000000
χ422222222222-2-22-22-22222222222222222-2-200000000222222-2-2-2-2-2-222-2-200000000-2-2-2-200000000000000000000000000000000-2-222-2-222-2-2-2-200000000220000000000000000
χ4322222222-2-222-22-222222222222222222-2-200000000-2-2-2-2-2-2222222-2-22200000000-2-2-2-20000000000000000000000000000000022-2-222-2-2-2-2-2-200000000220000000000000000
χ4422222222-2-222-22-222222222222222222-2-200000000-2-2-2-2-2-2222222-2-22200000000-2-2-2-200000000000000000000000000000000-2-222-2-222222200000000-2-20000000000000000
χ4522222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222i2i2i2i−2i−2i−2i−2i1−521+521−521−521+521+521−521+521−521−521+521+521−521+521−521+5222-2-22i2i−2i−2i−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4622222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222i2i2i2i−2i−2i−2i−2i1−521+521−521−521+521+521−521+521−521−521+521+521−521+521−521+52-2-222−2i−2i2i2i−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4722222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−2i−2i−2i−2i2i2i2i2i1−521+521−521−521+521+521−521+521−521−521+521+521−521+521−521+5222-2-2−2i−2i2i2i−1+52−1−52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000
χ4822222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−2i−2i−2i−2i2i2i2i2i1−521+521−521−521+521+521−521+521−521−521+521+521−521+521−521+52-2-2222i2i−2i−2i−1+52−1−52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000
χ4922222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222i2i2i2i−2i−2i−2i−2i1+521−521+521+521−521−521+521−521+521+521−521−521+521−521+521−5222-2-22i2i−2i−2i−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ5022222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222i2i2i2i−2i−2i−2i−2i1+521−521+521+521−521−521+521−521+521+521−521−521+521−521+521−52-2-222−2i−2i2i2i−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ5122222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−2i−2i−2i−2i2i2i2i2i1+521−521+521+521−521−521+521−521+521+521−521−521+521−521+521−5222-2-2−2i−2i2i2i−1−52−1+52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ5222222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−2i−2i−2i−2i2i2i2i2i1+521−521+521+521−521−521+521−521+521+521−521−521+521−521+521−52-2-2222i2i−2i−2i−1−52−1+52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000001+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ532222-2-2-2-22-22-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-22-22-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000
χ542222-2-2-2-22-22-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-222-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-22-22-22-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000001−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ552222-2-2-2-22-22-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-222-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-22-2-22-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+52−1+52−1−521−521+52000000000000000000
χ562222-2-2-2-22-22-222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-222-2-222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-22-222-22-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+52−1+52−1−521−521+52−1+52−1−52000000000000000000
χ572222-2-2-2-22-22-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-22-22-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000
χ582222-2-2-2-22-22-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-22-22-22-22−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ592222-2-2-2-22-22-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-222-2-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-22-2-22-22−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000
χ602222-2-2-2-22-22-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-222-2-222−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-22-222-22-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000001+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ612222-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-2222222-220000000022-2-2-2-2-2-2222222-2-200000000-2-222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000−2i2i0000000000000000
χ622222-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-2222222-220000000022-2-2-2-2-2-2222222-2-200000000-2-22200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000002i−2i0000000000000000
χ632222-2-2-2-2-222-2-222-222-2-2-2-2-2-2-2-2222222-2200000000-2-2222222-2-2-2-2-2-22200000000-2-222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002i−2i0000000000000000
χ642222-2-2-2-2-222-2-222-222-2-2-2-2-2-2-2-2222222-2200000000-2-2222222-2-2-2-2-2-22200000000-2-22200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000−2i2i0000000000000000
χ652222-2-2-2-2-22-22-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-22i2i−2i−2i−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521+521−521+522-2-222i−2i−2i2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000
χ662222-2-2-2-2-22-22-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-22i2i−2i−2i−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521+521−521+52-222-2−2i2i2i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000001−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000
χ672222-2-2-2-2-22-22-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−2i−2i2i2i2i2i−2i−2i1−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521+521−521+522-2-22−2i2i2i−2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000−1+52−1−521−521+521−521+52−1+52−1−52000000000000000000
χ682222-2-2-2-2-22-22-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-2−2i−2i2i2i2i2i−2i−2i1−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521+521−521+52-222-22i−2i−2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000001−521+52−1+52−1−52−1+52−1−521−521+52000000000000000000
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χ1344-4-44-4-44400-4-40404−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1−500−222222−2222−22−22220000001−51+5−1+51−5−1−51+500−1+5−1−5000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000000000000000000000
χ1354-4-44-4-44400-4-40404−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+50022−22−2222−222222−220000001+51−5−1−51+5−1+51−500−1−5−1+5000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-44400-4-40404−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+500−222222−2222−22−22220000001+51−5−1−51+5−1+51−500−1−5−1+5000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000000000000000000000000000000000000
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χ13888-8-88-88-800000000−2−25−2+25−2−252+25−2−252+25−2+252−25−2+252−25−2−252+25−2+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-8-88-8800000000−2+25−2−252−25−2+252−25−2+252+25−2−252+25−2−25−2+252−25−2−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-88-8800000000−2−25−2+252+25−2−252+25−2−252−25−2+252−25−2+25−2−252+25−2+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.