Finite Group Databasebeta

← Group #13089432

Character table — Group #13089432

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1122222222222224444444444444444444444444444444444444499181818181818181818303030306060606011222222222222244444444444444444444444444444444444444991818181818181818183030303060606060
order12233556610101010101036666615151515151515153030303030303030303030303030303030303030303030302221010101010101010224466121222266101066101010101010666666303030303030303030303030303030303030303030303030303030303030303022210101010101010102244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ511-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-111-1-111-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111-1-111-1-1
χ611-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-11111-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111
χ711-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-1111-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-11
χ811-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-111-111-111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-111-1
χ922222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−520000000022222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000
χ1022222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+520000000022222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+5200000000
χ1122222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+520000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5200000000
χ1222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−520000000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−5200000000
χ132222-1222-1222222-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002020-10-12222-1222-1222222-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002020-10-1
χ142222-1222-1222222-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000-20-201012222-1222-1222222-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000-20-20101
χ15222-1222-12222222-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000002020-10-10222-1222-12222222-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000002020-10-10
χ16222-1222-12222222-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000-20-201010222-1222-12222222-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000-20-201010
χ1722-222−1+52−1−5222−1+52−1−521−521−521+521+522-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222-2−1+52−1+52−1−52−1−521−521−521+521+520000000022-222−1+52−1−5222−1+52−1−521−521−521+521+522-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1822-222−1+52−1−5222−1+52−1−521−521−521+521+522-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-221−521−521+521+52−1+52−1+52−1−52−1−520000000022-222−1+52−1−5222−1+52−1−521−521−521+521+522-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1922-222−1−52−1+5222−1−52−1+521+521+521−521−522-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2−1−52−1−52−1+52−1+521+521+521−521−520000000022-222−1−52−1+5222−1−52−1+521+521+521−521−522-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ2022-222−1−52−1+5222−1−52−1+521+521+521−521−522-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-221+521+521−521−52−1−52−1−52−1+52−1+520000000022-222−1−52−1+5222−1−52−1+521+521+521−521−522-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ2122-22-1222-122-2-2-2-2-1-21-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000020-20-10122-22-1222-122-2-2-2-2-1-21-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000020-20-101
χ2222-22-1222-122-2-2-2-2-1-21-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000000000-202010-122-22-1222-122-2-2-2-2-1-21-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000000000-202010-1
χ2322-2-1222-1222-2-2-2-2-11-2-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000020-20-101022-2-1222-1222-2-2-2-2-11-2-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000020-20-1010
χ2422-2-1222-1222-2-2-2-2-11-2-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111100000000000-202010-1022-2-1222-1222-2-2-2-2-11-2-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111100000000000-202010-10
χ252-202222-2-2-2-20000200-20022222222-2-2-2-2-2-2-2-200000000000000002-202-22-20000000000002-202222-2-2-2-20000200-20022222222-2-2-2-2-2-2-2-200000000000000002-202-22-2000000000000
χ262-202222-2-2-2-20000200-20022222222-2-2-2-2-2-2-2-20000000000000000-220-22-220000000000002-202222-2-2-2-20000200-20022222222-2-2-2-2-2-2-2-20000000000000000-220-22-22000000000000
χ272-2022−1+52−1−52-2-21−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ32-20−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000002-2022−1+52−1−52-2-21−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ32-20−1+521−52−1−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000
χ282-2022−1+52−1−52-2-21−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3-2201−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000002-2022−1+52−1−52-2-21−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3-2201−52−1+521+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000
χ292-2022−1+52−1−52-2-21−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ32-20−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3000000002-2022−1+52−1−52-2-21−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ32-20−1+521−52−1−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000
χ302-2022−1+52−1−52-2-21−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3-2201−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3000000002-2022−1+52−1−52-2-21−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3200-200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3-2201−52−1+521+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000
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χ1344-40-24−1−5−1+52-41+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4-2002001+52−1−51+521+521−52−1+51−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52ζ2−ζ3−ζ2+ζ3−2ζ2+2ζ32ζ2−2ζ3ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ42ζ−2ζ4−2ζ+2ζ4−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ40000000000000000000-4402-41+51−5-24−1−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4200-200−1−521+5−1−52−1−52−1+521−5−1+52−1+521+52−1−51+521+521−52−1+51−521−52−ζ2+ζ3ζ2−ζ32ζ2−2ζ3−2ζ2+2ζ3−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−2ζ+2ζ42ζ−2ζ4ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ40000000000000000000
χ1354-40-2-24422-4-40000100-13-3-2-211-2-21122-1-122-1-100003-3-3300003-3-330000000000000000000-44022-4-4-2-2440000-1001-3322-1-122-1-1-2-211-2-2110000-333-30000-333-30000000000000000000
χ1364-40-2-24422-4-40000100-1-33-2-211-2-21122-1-122-1-10000-333-30000-333-30000000000000000000-44022-4-4-2-2440000-10013-322-1-122-1-1-2-211-2-21100003-3-3300003-3-330000000000000000000
χ1374-40-2-2−1+5−1−5221−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3100-13-31−521−522ζ−ζ4−ζ+2ζ41+521+522ζ2−ζ3−ζ2+2ζ3−1+52−1+52−2ζ+ζ4ζ−2ζ4−1−52−1−52−2ζ2+ζ3ζ2−2ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ42ζ+ζ4−ζ−2ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ32ζ2+ζ3−ζ2−2ζ3−2ζ2−ζ3ζ2+2ζ30000000000000000000-440221−51+5-2-2−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3-1001-33−1+52−1+52−2ζ+ζ4ζ−2ζ4−1−52−1−52−2ζ2+ζ3ζ2−2ζ31−521−522ζ−ζ4−ζ+2ζ41+521+522ζ2−ζ3−ζ2+2ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−2ζ−ζ4ζ+2ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−2ζ2−ζ3ζ2+2ζ32ζ2+ζ3−ζ2−2ζ30000000000000000000
χ1384-40-2-2−1+5−1−5221−51+52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3100-1-331−521−52−ζ+2ζ42ζ−ζ41+521+52−ζ2+2ζ32ζ2−ζ3−1+52−1+52ζ−2ζ4−2ζ+ζ4−1−52−1−52ζ2−2ζ3−2ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ−2ζ42ζ+ζ4ζ+2ζ4−2ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2−2ζ32ζ2+ζ3ζ2+2ζ3−2ζ2−ζ30000000000000000000-440221−51+5-2-2−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3-10013-3−1+52−1+52ζ−2ζ4−2ζ+ζ4−1−52−1−52ζ2−2ζ3−2ζ2+ζ31−521−52−ζ+2ζ42ζ−ζ41+521+52−ζ2+2ζ32ζ2−ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ+2ζ4−2ζ−ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2+2ζ3−2ζ2−ζ3−ζ2−2ζ32ζ2+ζ30000000000000000000
χ1394-40-2-2−1+5−1−5221−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3100-13-31−521−52−ζ+2ζ42ζ−ζ41+521+52−ζ2+2ζ32ζ2−ζ3−1+52−1+52ζ−2ζ4−2ζ+ζ4−1−52−1−52ζ2−2ζ3−2ζ2+ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ+2ζ4−2ζ−ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2+2ζ3−2ζ2−ζ3−ζ2−2ζ32ζ2+ζ30000000000000000000-440221−51+5-2-2−1+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3-1001-33−1+52−1+52ζ−2ζ4−2ζ+ζ4−1−52−1−52ζ2−2ζ3−2ζ2+ζ31−521−52−ζ+2ζ42ζ−ζ41+521+52−ζ2+2ζ32ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ−2ζ42ζ+ζ4ζ+2ζ4−2ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2−2ζ32ζ2+ζ3ζ2+2ζ3−2ζ2−ζ30000000000000000000
χ1404-40-2-2−1+5−1−5221−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3100-1-331−521−522ζ−ζ4−ζ+2ζ41+521+522ζ2−ζ3−ζ2+2ζ3−1+52−1+52−2ζ+ζ4ζ−2ζ4−1−52−1−52−2ζ2+ζ3ζ2−2ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−2ζ−ζ4ζ+2ζ42ζ+ζ4−ζ−2ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−2ζ2−ζ3ζ2+2ζ32ζ2+ζ3−ζ2−2ζ30000000000000000000-440221−51+5-2-2−1+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3-10013-3−1+52−1+52−2ζ+ζ4ζ−2ζ4−1−52−1−52−2ζ2+ζ3ζ2−2ζ31−521−522ζ−ζ4−ζ+2ζ41+521+522ζ2−ζ3−ζ2+2ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ42ζ+ζ4−ζ−2ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ32ζ2+ζ3−ζ2−2ζ3−2ζ2−ζ3ζ2+2ζ30000000000000000000
χ1414-40-2-2−1−5−1+5221+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4100-13-31+521+522ζ2−ζ3−ζ2+2ζ31−521−52−ζ+2ζ42ζ−ζ4−1−52−1−52−2ζ2+ζ3ζ2−2ζ3−1+52−1+52ζ−2ζ4−2ζ+ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ32ζ2+ζ3−ζ2−2ζ3−2ζ2−ζ3ζ2+2ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ+2ζ4−2ζ−ζ4−ζ−2ζ42ζ+ζ40000000000000000000-440221+51−5-2-2−1−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4-1001-33−1−52−1−52−2ζ2+ζ3ζ2−2ζ3−1+52−1+52ζ−2ζ4−2ζ+ζ41+521+522ζ2−ζ3−ζ2+2ζ31−521−52−ζ+2ζ42ζ−ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−2ζ2−ζ3ζ2+2ζ32ζ2+ζ3−ζ2−2ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ−2ζ42ζ+ζ4ζ+2ζ4−2ζ−ζ40000000000000000000
χ1424-40-2-2−1−5−1+5221+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4100-1-331+521+52−ζ2+2ζ32ζ2−ζ31−521−522ζ−ζ4−ζ+2ζ4−1−52−1−52ζ2−2ζ3−2ζ2+ζ3−1+52−1+52−2ζ+ζ4ζ−2ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2−2ζ32ζ2+ζ3ζ2+2ζ3−2ζ2−ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−2ζ−ζ4ζ+2ζ42ζ+ζ4−ζ−2ζ40000000000000000000-440221+51−5-2-2−1−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4-10013-3−1−52−1−52ζ2−2ζ3−2ζ2+ζ3−1+52−1+52−2ζ+ζ4ζ−2ζ41+521+52−ζ2+2ζ32ζ2−ζ31−521−522ζ−ζ4−ζ+2ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2+2ζ3−2ζ2−ζ3−ζ2−2ζ32ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ42ζ+ζ4−ζ−2ζ4−2ζ−ζ4ζ+2ζ40000000000000000000
χ1434-40-2-2−1−5−1+5221+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4100-13-31+521+52−ζ2+2ζ32ζ2−ζ31−521−522ζ−ζ4−ζ+2ζ4−1−52−1−52ζ2−2ζ3−2ζ2+ζ3−1+52−1+52−2ζ+ζ4ζ−2ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2+2ζ3−2ζ2−ζ3−ζ2−2ζ32ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ42ζ+ζ4−ζ−2ζ4−2ζ−ζ4ζ+2ζ40000000000000000000-440221+51−5-2-2−1−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4-1001-33−1−52−1−52ζ2−2ζ3−2ζ2+ζ3−1+52−1+52−2ζ+ζ4ζ−2ζ41+521+52−ζ2+2ζ32ζ2−ζ31−521−522ζ−ζ4−ζ+2ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2−2ζ32ζ2+ζ3ζ2+2ζ3−2ζ2−ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4−2ζ−ζ4ζ+2ζ42ζ+ζ4−ζ−2ζ40000000000000000000
χ1444-40-2-2−1−5−1+5221+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4100-1-331+521+522ζ2−ζ3−ζ2+2ζ31−521−52−ζ+2ζ42ζ−ζ4−1−52−1−52−2ζ2+ζ3ζ2−2ζ3−1+52−1+52ζ−2ζ4−2ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ2−ζ3−ζ2+ζ3−2ζ2−ζ3ζ2+2ζ32ζ2+ζ3−ζ2−2ζ3−ζ+ζ4ζ−ζ4−ζ+ζ4ζ−ζ4−ζ−2ζ42ζ+ζ4ζ+2ζ4−2ζ−ζ40000000000000000000-440221+51−5-2-2−1−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4-10013-3−1−52−1−52−2ζ2+ζ3ζ2−2ζ3−1+52−1+52ζ−2ζ4−2ζ+ζ41+521+522ζ2−ζ3−ζ2+2ζ31−521−52−ζ+2ζ42ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ2+ζ3ζ2−ζ32ζ2+ζ3−ζ2−2ζ3−2ζ2−ζ3ζ2+2ζ3ζ−ζ4−ζ+ζ4ζ−ζ4−ζ+ζ4ζ+2ζ4−2ζ−ζ4−ζ−2ζ42ζ+ζ40000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).