Finite Group Databasebeta

← Group #13089376

Character table — Group #13089376

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222222222222222224444444444444444444444444444444444444466666666666666666688888888888888888888812121212121212121212121212121212121212121230303030303060606090909090
order1233444556610101515151530303030361212121212121515151515152020202020203030303030306060606060606060606060602444661010101030303030303030301212126060606060606060606060606060606060601212122020202020206060606060606060606060602444661212122224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111111111111111-1-11-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11-1-11
χ611111-1-111111111111111111-1-11-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1
χ711111-1-111111111111111111-1-11-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1111-1-1-111-1
χ811111-1-111111111111111111-1-11-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-1-1111-1-11
χ91111-11-11111111111111111-11-1-11-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-111111111111111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-11-1-11-11
χ101111-11-11111111111111111-11-1-11-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-111111111111111-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-11-111-11-1
χ111111-11-11111111111111111-11-1-11-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-1111111-1-1-1-111111-11-111-11-11-11-1
χ121111-11-11111111111111111-11-1-11-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1111-1-1111111-1-1-1-11111-11-11-1-11-11-11-11
χ131111-1-111111111111111111-1-11-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-11-1-111
χ141111-1-111111111111111111-1-11-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-111-111-1-1
χ151111-1-111111111111111111-1-11-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111111111-1-1-1-11-1-1111-1-1111-1-1
χ161111-1-111111111111111111-1-11-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111111111-1-1-1-1-111-1-1-111-1-1-111
χ172222222−1+52−1−5222−1+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+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000
χ182222222−1+52−1−5222−1+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+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-21−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000
χ192222222−1−52−1+5222−1−52−1+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+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000
χ202222222−1−52−1+5222−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-21+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000
χ2122222-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-22-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+521−521−521−521+521+521+522-2-2−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000
χ2222222-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222-2-22-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222-2-21−521−521+521+521−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+521−521−521−521+521+521+52-2221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000
χ2322222-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-22-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−521+521+521+521−521−521−522-2-2−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000
χ2422222-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222-2-22-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-222-2-21+521+521−521−521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−521+521+521+521−521−521−52-2221+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+520000000000000
χ252222-22-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-22-2-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−521−521+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+522-22-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-21−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52-22-21−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000
χ262222-22-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-22-2-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1−521−521+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+52-22-22-2-21−521−521+521+521−521−521−521−521+521+521+521+52-22-21−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+522-22−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ272222-22-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-22-2-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52-22-21+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000
χ282222-22-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-22-2-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-22-2-21+521+521−521−521+521+521+521+521−521−521−521−52-22-21+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−522-22−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000
χ292222-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-22-2-22−1+52−1+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+521−521−521+521+52−1+52−1+52−1−52−1−522-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521−521+521+521+521−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52-2-221−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000
χ302222-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-22-2-22−1+52−1+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+521−521−521+521+52−1+52−1+52−1−52−1−52-222-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52-2-221−521−521−521+521+521+521−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−5222-2−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000
χ312222-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-22-2-22−1−52−1−52−1−52−1+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521+521+521−521−521−521+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52-2-221+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000
χ322222-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-22-2-22−1−52−1−52−1−52−1+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52-2-221+521+521+521−521−521−521+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+5222-2−1−52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000
χ33222-1222222-12222222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222222222222000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000002222-1-1-1-1-10000
χ34222-1222222-12222222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222222222222000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-2-2-2-2111110000
χ35222-12-2-2222-12222222222-1-12-2-2-111-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000000000000000-111-1-1-1-1-1-111111111111100000000000000000000022-2-2-1-1-1110000
χ36222-12-2-2222-12222222222-1-12-2-2-111-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000000000000000-111-1-1-1-1-1-1111111111111000000000000000000000-2-222111-1-10000
χ37222-1-22-2222-12222222222-1-1-22-21-11-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000000000000001-11111111-1-1-1-1-1-11111110000000000000000000002-22-2-1-11-110000
χ38222-1-22-2222-12222222222-1-1-22-21-11-1-1-1-1-1-1-2-222-2-2-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000000000000001-11111111-1-1-1-1-1-1111111000000000000000000000-22-2211-11-10000
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χ10744-2-2-4-44−1−5−1+5-2-2−1−5−1+52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ132ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ131122-222-21+52−ζ4−ζ11−ζ−ζ141−52−ζ7−ζ8−ζ2−ζ131+51−51+51−5−1−5−1+51+52−ζ4−ζ11−ζ−ζ141−52−ζ7−ζ8−ζ2−ζ13−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ13−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ132ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ13000000000000000000-1-11−1−52ζ4+ζ11ζ+ζ14−1+52ζ7+ζ8ζ2+ζ13−1−52ζ4+ζ11ζ+ζ14−1+52ζ7+ζ8ζ2+ζ131+52−ζ4−ζ11−ζ−ζ141−52−ζ7−ζ8−ζ2−ζ130000000000000000000000000000000000
χ10844-2-2-4-44−1−5−1+5-2-2−1−5−1+52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ82ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ81122-222-21+52−ζ−ζ14−ζ4−ζ111−52−ζ2−ζ13−ζ7−ζ81+51−51+51−5−1−5−1+51+52−ζ−ζ14−ζ4−ζ111−52−ζ2−ζ13−ζ7−ζ8−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ8−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ82ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ8000000000000000000-1-11−1−52ζ+ζ14ζ4+ζ11−1+52ζ2+ζ13ζ7+ζ8−1−52ζ+ζ14ζ4+ζ11−1+52ζ2+ζ13ζ7+ζ81+52−ζ−ζ14−ζ4−ζ111−52−ζ2−ζ13−ζ7−ζ80000000000000000000000000000000000
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χ1114-444000−1+5−1−5-4-41−51+5−1+5−1+5−1−5−1−51−51−51+51+54-4000000−1+5−1+5−1+5−1−5−1−5−1−50000001−51−51−51+51+51+5000000000000000000−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ140000000000000000000000000000000000000000000000000000000
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χ1134-444000−1−5−1+5-4-41+51−5−1−5−1−5−1+5−1+51+51+51−51−54-4000000−1−5−1−5−1−5−1+5−1+5−1+50000001+51+51+51−51−51−50000000000000000002ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ130000000000000000000000000000000000000000000000000000000
χ1144-44-200044-42-4-44444-4-4-4-4-22000000-2-2-2-2-2-200000022222200000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ1154-44-200044-42-4-44444-4-4-4-4-22000000-2-2-2-2-2-20000002222220000000000000000000000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ1164-4-24000442-4-4-4-2-2-2-22222-220000004-2-24-2-2000000-422-42200000000000000002i3−2i300002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000
χ1174-4-24000442-4-4-4-2-2-2-22222-220000004-2-24-2-2000000-422-4220000000000000000−2i32i30000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000
χ1184-4-24000−1+5−1−52-41−51+52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ14−2ζ2−2ζ13−2ζ7−2ζ8−2ζ4−2ζ11−2ζ−2ζ14-22000000−1+52ζ2+2ζ132ζ7+2ζ8−1−52ζ4+2ζ112ζ+2ζ140000001−5−2ζ2−2ζ13−2ζ7−2ζ81+5−2ζ4−2ζ11−2ζ−2ζ1400000000000000002i3−2i3−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2−2ζ13−2ζ2+2ζ132ζ7−2ζ8−2ζ7+2ζ82ζ4−2ζ11−2ζ4+2ζ11−2ζ+2ζ142ζ−2ζ140000000000000000000000000000000000000000000000000000000
χ1194-4-24000−1+5−1−52-41−51+52ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ14−2ζ2−2ζ13−2ζ7−2ζ8−2ζ4−2ζ11−2ζ−2ζ14-22000000−1+52ζ2+2ζ132ζ7+2ζ8−1−52ζ4+2ζ112ζ+2ζ140000001−5−2ζ2−2ζ13−2ζ7−2ζ81+5−2ζ4−2ζ11−2ζ−2ζ140000000000000000−2i32i32ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2+2ζ132ζ2−2ζ13−2ζ7+2ζ82ζ7−2ζ8−2ζ4+2ζ112ζ4−2ζ112ζ−2ζ14−2ζ+2ζ140000000000000000000000000000000000000000000000000000000
χ1204-4-24000−1+5−1−52-41−51+52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ11−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ11-22000000−1+52ζ7+2ζ82ζ2+2ζ13−1−52ζ+2ζ142ζ4+2ζ110000001−5−2ζ7−2ζ8−2ζ2−2ζ131+5−2ζ−2ζ14−2ζ4−2ζ1100000000000000002i3−2i32ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ7+2ζ82ζ7−2ζ8−2ζ2+2ζ132ζ2−2ζ132ζ−2ζ14−2ζ+2ζ14−2ζ4+2ζ112ζ4−2ζ110000000000000000000000000000000000000000000000000000000
χ1214-4-24000−1+5−1−52-41−51+52ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ11−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ11-22000000−1+52ζ7+2ζ82ζ2+2ζ13−1−52ζ+2ζ142ζ4+2ζ110000001−5−2ζ7−2ζ8−2ζ2−2ζ131+5−2ζ−2ζ14−2ζ4−2ζ110000000000000000−2i32i3−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ7−2ζ8−2ζ7+2ζ82ζ2−2ζ13−2ζ2+2ζ13−2ζ+2ζ142ζ−2ζ142ζ4−2ζ11−2ζ4+2ζ110000000000000000000000000000000000000000000000000000000
χ1224-4-24000−1−5−1+52-41+51−52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ13−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ13-22000000−1−52ζ4+2ζ112ζ+2ζ14−1+52ζ7+2ζ82ζ2+2ζ130000001+5−2ζ4−2ζ11−2ζ−2ζ141−5−2ζ7−2ζ8−2ζ2−2ζ1300000000000000002i3−2i3−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ13−2ζ4+2ζ112ζ4−2ζ112ζ−2ζ14−2ζ+2ζ142ζ7−2ζ8−2ζ7+2ζ82ζ2−2ζ13−2ζ2+2ζ130000000000000000000000000000000000000000000000000000000
χ1234-4-24000−1−5−1+52-41+51−52ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ13−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ13-22000000−1−52ζ4+2ζ112ζ+2ζ14−1+52ζ7+2ζ82ζ2+2ζ130000001+5−2ζ4−2ζ11−2ζ−2ζ141−5−2ζ7−2ζ8−2ζ2−2ζ130000000000000000−2i32i32ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ132ζ4−2ζ11−2ζ4+2ζ11−2ζ+2ζ142ζ−2ζ14−2ζ7+2ζ82ζ7−2ζ8−2ζ2+2ζ132ζ2−2ζ130000000000000000000000000000000000000000000000000000000
χ1244-4-24000−1−5−1+52-41+51−52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ8−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ8-22000000−1−52ζ+2ζ142ζ4+2ζ11−1+52ζ2+2ζ132ζ7+2ζ80000001+5−2ζ−2ζ14−2ζ4−2ζ111−5−2ζ2−2ζ13−2ζ7−2ζ800000000000000002i3−2i32ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ13−2ζ+2ζ142ζ−2ζ142ζ4−2ζ11−2ζ4+2ζ11−2ζ2+2ζ132ζ2−2ζ13−2ζ7+2ζ82ζ7−2ζ80000000000000000000000000000000000000000000000000000000
χ1254-4-24000−1−5−1+52-41+51−52ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ8−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ8-22000000−1−52ζ+2ζ142ζ4+2ζ11−1+52ζ2+2ζ132ζ7+2ζ80000001+5−2ζ−2ζ14−2ζ4−2ζ111−5−2ζ2−2ζ13−2ζ7−2ζ80000000000000000−2i32i3−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ132ζ−2ζ14−2ζ+2ζ14−2ζ4+2ζ112ζ4−2ζ112ζ2−2ζ13−2ζ2+2ζ132ζ7−2ζ8−2ζ7+2ζ80000000000000000000000000000000000000000000000000000000
χ1268-88-4000−2+25−2−25-842−252+25−2+25−2+25−2−25−2−252−252−252+252+25-440000001−51−51−51+51+51+5000000−1+5−1+5−1+5−1−5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-4000−2−25−2+25-842+252−25−2−25−2−25−2+25−2+252+252+252−252−25-440000001+51+51+51−51−51−5000000−1−5−1−5−1−5−1+5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-4-40008844-8-8-4-4-4-444442-2000000-422-4220000004-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-4-4000−2+25−2−25442−252+254ζ2+4ζ134ζ7+4ζ84ζ4+4ζ114ζ+4ζ14−4ζ2−4ζ13−4ζ7−4ζ8−4ζ4−4ζ11−4ζ−4ζ142-20000001−5−2ζ2−2ζ13−2ζ7−2ζ81+5−2ζ4−2ζ11−2ζ−2ζ14000000−1+52ζ2+2ζ132ζ7+2ζ8−1−52ζ4+2ζ112ζ+2ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-4-4000−2+25−2−25442−252+254ζ7+4ζ84ζ2+4ζ134ζ+4ζ144ζ4+4ζ11−4ζ7−4ζ8−4ζ2−4ζ13−4ζ−4ζ14−4ζ4−4ζ112-20000001−5−2ζ7−2ζ8−2ζ2−2ζ131+5−2ζ−2ζ14−2ζ4−2ζ11000000−1+52ζ7+2ζ82ζ2+2ζ13−1−52ζ+2ζ142ζ4+2ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-4-4000−2−25−2+25442+252−254ζ4+4ζ114ζ+4ζ144ζ7+4ζ84ζ2+4ζ13−4ζ4−4ζ11−4ζ−4ζ14−4ζ7−4ζ8−4ζ2−4ζ132-20000001+5−2ζ4−2ζ11−2ζ−2ζ141−5−2ζ7−2ζ8−2ζ2−2ζ13000000−1−52ζ4+2ζ112ζ+2ζ14−1+52ζ7+2ζ82ζ2+2ζ130000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-4-4000−2−25−2+25442+252−254ζ+4ζ144ζ4+4ζ114ζ2+4ζ134ζ7+4ζ8−4ζ−4ζ14−4ζ4−4ζ11−4ζ2−4ζ13−4ζ7−4ζ82-20000001+5−2ζ−2ζ14−2ζ4−2ζ111−5−2ζ2−2ζ13−2ζ7−2ζ8000000−1−52ζ+2ζ142ζ4+2ζ11−1+52ζ2+2ζ132ζ7+2ζ80000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.