Finite Group Databasebeta

← Group #13087560

Character table — Group #13087560

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444666612121212121212121212121212121212121212121212121212121212151515153030303030303030303090909090
order1222223355666666666610101010101015151515303030303030303030303030366666666610101010151515151515303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303044441212121220202020202020206060606060606060606060606060606044444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111111-1-1-1-111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ61111-1-11111111-1-1-1-111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ71111-1-11111111-1-1-1-111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1
χ81111-1-11111111-1-1-1-111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111
χ91-1-111-1111111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−ii−iii−i−iii−i−i1-11-1
χ101-1-111-1111111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−ii−i−iii−i−iii-11-11
χ111-1-111-1111111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−ii−iii−i−iii−i−i-11-11
χ121-1-111-1111111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−ii−i−iii−i−iii1-11-1
χ131-1-11-11111111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iii−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−iiii−i−i−i−iii-111-1
χ141-1-11-11111111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−iii−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiii−i−i−iiiii−i−i1-1-11
χ151-1-11-11111111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−iii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−iiii−i−i−i−iii1-1-11
χ161-1-11-11111111-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−i−iii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiii−i−i−iiiii−i−i-111-1
χ1722222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+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+52000000000000000000
χ1822222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−52000000000000000000
χ1922222222−1+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+52−1+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+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52000000000000000000
χ2022222222−1+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+52−1+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+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52000000000000000000
χ212222222-1222-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-12-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ222222222-1222-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-12-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ232222222-1−1−52−1+522-122222-1-12−1−52−1+52−1−52−1−52−1+52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58-1-1-1-1-1-1-1-1-1-1−1−52−1+52−1−52−1+52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ582222-1-1-1-1−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58000000000000000000
χ242222222-1−1−52−1+522-122222-1-12−1−52−1+52−1−52−1−52−1+52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58-1-1-1-1-1-1-1-1-1-1−1−52−1+52−1−52−1+52−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58-2-2-2-211111+521−521+521−521+521−521+521−52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58000000000000000000
χ252222222-1−1−52−1+522-122222-1-12−1−52−1+52−1−52−1−52−1+52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38-1-1-1-1-1-1-1-1-1-1−1−52−1+52−1−52−1+52−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ382222-1-1-1-1−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38000000000000000000
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χ272222222-1−1+52−1−522-122222-1-12−1+52−1−52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34-1-1-1-1-1-1-1-1-1-1−1+52−1−52−1+52−1−52−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ342222-1-1-1-1−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34000000000000000000
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χ12044-4-400-2-2−1−5−1+522-2−2i32i3−2i32i3-2221+51−5−1−51+5−1+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ342ζ26+2ζ34−2ζ14−2ζ462ζ14+2ζ46−2ζ22−2ζ382ζ22+2ζ38−2ζ2−2ζ582ζ2+2ζ58100-11-1i3−i3i3−i300001+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ5800000000−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+52−1−52ζ26+ζ34−ζ26−ζ34ζ14+ζ46−ζ14−ζ461−52−1+52ζ22+ζ38−ζ22−ζ38ζ2+ζ58−ζ2−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ5800000000000000000000000000000000000000000000000000
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χ1504-4-444-4-24−1+5−1−5-242-2-222-4-42−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5-24-4-222-2-222−1+5−1−51−51+51−521−521−521+521+521+52−1+5−1+5−1−5−1−51−51−51+51+51−521−521−521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000000000000000000000000000
χ1514-4-444-4-2-244-2-22-2-22222244-4-4-4-4-2-2-2-2-2-2-2-2222222221-221-1-111-1-144-4-4-211-211-2-2-2-22222-211-21122-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000
χ1524-4-444-4-2-2−1−5−1+5-2-22-2-222222−1−5−1+51+51+51−51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ581-221-1-111-1-1−1−5−1+51+51−51+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ581+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ5800000000000000000000000000000000000000000000000000
χ1534-4-444-4-2-2−1−5−1+5-2-22-2-222222−1−5−1+51+51+51−51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ381-221-1-111-1-1−1−5−1+51+51−51+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ381+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ3800000000000000000000000000000000000000000000000000
χ1544-4-444-4-2-2−1+5−1−5-2-22-2-222222−1+5−1−51−51−51+51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ341-221-1-111-1-1−1+5−1−51−51+51−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ341−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ3400000000000000000000000000000000000000000000000000
χ1554-4-444-4-2-2−1+5−1−5-2-22-2-222222−1+5−1−51−51−51+51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ461-221-1-111-1-1−1+5−1−51−51+51−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ461−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ4600000000000000000000000000000000000000000000000000
χ1564-4-44-44-24−1−5−1+5-24222-2-2-4-42−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5-2-44-22222-2-21+51−5−1−5−1+51+521+521+521−521−521−521+51+51−51−5−1−5−1−5−1+5−1+51+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521−521−521−521−521−521−5200000000000000000000000000000000000000000000000000
χ1574-4-44-44-24−1+5−1−5-24222-2-2-4-42−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5-2-44-22222-2-21−51+5−1+5−1−51−521−521−521+521+521+521−51−51+51+5−1+5−1+5−1−5−1−51−521−521−521+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+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+5200000000000000000000000000000000000000000000000000
χ1584-4-44-44-2-244-2-2222-2-222244-4-4-4-4-2-2-2-2-2-2-2-22222222212-21-1-1-1-111-4-444-211-2112222-2-2-2-2-211-21122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-21111-2-2111100000000000000000000000000000000000000000000000000
χ1594-4-44-44-2-2−1−5−1+5-2-2222-2-2222−1−5−1+51+51+51−51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ462ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ5812-21-1-1-1-1111+51−5−1−5−1+51+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ581+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ581+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ461−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ5800000000000000000000000000000000000000000000000000
χ1604-4-44-44-2-2−1−5−1+5-2-2222-2-2222−1−5−1+51+51+51−51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ342ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ3812-21-1-1-1-1111+51−5−1−5−1+51+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ381+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ381+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ341−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ3800000000000000000000000000000000000000000000000000
χ1614-4-44-44-2-2−1+5−1−5-2-2222-2-2222−1+5−1−51−51−51+51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ22+2ζ382ζ2+2ζ582ζ2+2ζ582ζ14+2ζ462ζ14+2ζ462ζ26+2ζ342ζ26+2ζ3412-21-1-1-1-1111−51+5−1+5−1−51−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ341−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ34−1+52−1+52−ζ22−ζ38−ζ22−ζ38−ζ2−ζ58−ζ2−ζ58−1−52−1−52−ζ14−ζ46−ζ14−ζ46−ζ26−ζ34−ζ26−ζ341−521−52ζ22+ζ38ζ22+ζ38ζ2+ζ58ζ2+ζ581+521+52ζ14+ζ46ζ14+ζ46ζ26+ζ34ζ26+ζ3400000000000000000000000000000000000000000000000000
χ1624-4-44-44-2-2−1+5−1−5-2-2222-2-2222−1+5−1−51−51−51+51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ2+2ζ582ζ22+2ζ382ζ22+2ζ382ζ26+2ζ342ζ26+2ζ342ζ14+2ζ462ζ14+2ζ4612-21-1-1-1-1111−51+5−1+5−1−51−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ461−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ46−1+52−1+52−ζ2−ζ58−ζ2−ζ58−ζ22−ζ38−ζ22−ζ38−1−52−1−52−ζ26−ζ34−ζ26−ζ34−ζ14−ζ46−ζ14−ζ461−521−52ζ2+ζ58ζ2+ζ58ζ22+ζ38ζ22+ζ381+521+52ζ26+ζ34ζ26+ζ34ζ14+ζ46ζ14+ζ4600000000000000000000000000000000000000000000000000

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