Finite Group Databasebeta

← Group #13087777

Character table — Group #13087777

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444430303030303030303030303036363636363636363636606060606060
order12222233556666666666101010101010366666666610101010151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030304444121212121212121224101010102020202024661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-11-111-1-1
χ61111-1-1111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-11111-11-1-111
χ71111-1-1111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-11-1-111
χ81111-1-1111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-111111-111-1-1
χ922222222−1−52−1+522222222222−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
χ1022222222−1−52−1+522222222222−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52000000000000-2-21+521+521−521−521+521+521−521−52000000
χ1122222222−1+52−1−522222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000
χ1222222222−1+52−1−522222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000-2-21−521−521+521+521−521−521+521+52000000
χ132222222-122222222-1-1-12222222-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022-1-1-1-1
χ142222222-122222222-1-1-12222222-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-21111
χ15222222-1222-1-1-1-1-1-1222-1222222-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ16222222-1222-1-1-1-1-1-1222-1222222-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ172222-2-222−1−52−1+5222-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+522-2-2222-2-2-2-21+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+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−520000000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000
χ182222-2-222−1−52−1+5222-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1+522-2-2222-2-2-2-21+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+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52000000000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000
χ192222-2-222−1+52−1−5222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−522-2-2222-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+520000000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000
χ202222-2-222−1+52−1−5222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−522-2-2222-2-2-2-21−521−521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52000000000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000
χ212222-2-22-12222-2-2-2-2-1-1-12222222-111-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000002-2-1-111
χ222222-2-22-12222-2-2-2-2-1-1-12222222-111-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000-2211-1-1
χ232222-2-2-1222-1-11111222-1222222-1-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-111110000000000000000
χ242222-2-2-1222-1-11111222-1222222-1-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2221111-1-1-1-10000000000000000
χ2522-2-20022222-200002-2-2-22-22-2-2-22002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-200000000000000000000000000000000002i−2i00002i2i−2i−2i0000000000000000
χ2622-2-20022222-200002-2-2-22-22-2-2-22002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-20000000000000000000000000000000000−2i2i0000−2i−2i2i2i0000000000000000
χ2722-2-200-1222-11−i3−i3i3i32-2-212-22-2-2-2-100-111−i3−i3i3i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3002i−2i33−3−3−i−iii0000000000000000
χ2822-2-200-1222-11−i3−i3i3i32-2-212-22-2-2-2-100-111−i3−i3i3i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300−2i2i−3−333ii−i−i0000000000000000
χ2922-2-200-1222-11i3i3−i3−i32-2-212-22-2-2-2-100-111i3i3−i3−i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002i−2i−3−333−i−iii0000000000000000
χ3022-2-200-1222-11i3i3−i3−i32-2-212-22-2-2-2-100-111i3i3−i3−i30000-12-1-1-12-1-1-1112-2-2-1-11111-1112-2-2-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−2i2i33−3−3ii−i−i0000000000000000
χ312-22-22-22222-222-22-2-2-22-2-2-2-2-22222-2-22-22-22-22-22-222222222-22-2-22-2-2-222-2-2-22-2-22-2-2-222-2-22-22-222-2-222-2-222-2-22-22-222-2-222-2-222-2-20000000000000000000000000000
χ322-22-22-222−1−52−1+52-222-22-2-2-22-21+521+521−521−52−1−52−1+5222-2-22-22-22-2−1−521+52−1+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−5200000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000
χ332-22-22-222−1−52−1+52-222-22-2-2-22-21+521+521−521−52−1−52−1+5222-2-22-22-22-2−1−521+52−1+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−5200000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000
χ342-22-22-222−1+52−1−52-222-22-2-2-22-21−521−521+521+52−1+52−1−5222-2-22-22-22-2−1+521−52−1−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46000000
χ352-22-22-222−1+52−1−52-222-22-2-2-22-21−521−521+521+52−1+52−1−5222-2-22-22-22-2−1+521−52−1−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−521+52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46000000
χ362-22-22-22-122-222-22-211-1-2-2-2-2-222-1-111-11-11-112-22-22-1-1-12-1-1-1-22-21-1111-1-111-22-21-1111-1-1112-22-2-1-111-1-111-1-1112-22-2-1-111-1-111-1-111000000000000000000000000−i3i3−i3i3
χ372-22-22-22-122-222-22-211-1-2-2-2-2-222-1-111-11-11-112-22-22-1-1-12-1-1-1-22-21-1111-1-111-22-21-1111-1-1112-22-2-1-111-1-111-1-1112-22-2-1-111-1-111-1-111000000000000000000000000i3−i3i3−i3
χ382-22-22-2-12221-1-11-11-2-221-2-2-2-222-12-21-11-11-112-22-2-12-1-1-12-1-11-11-22-211-1-1111-11-22-211-1-111-11-1122-2-2-1-111-1-111-11-1122-2-2-1-111-1-11100003−33−33−33−30000000000000000
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χ1184-4-44004-2−1+5−1−5-4-400002-2241−5−1+51+5−1−51−51+5-20022-200000000−1+51−521−521−52−1−51+521+521+521−51−5−1+5−1+52−1+521−52−1+52−1+52−1+52−1+521−521−521+51+5−1−5−1−52−1−521+52−1−52−1−52−1−52−1−521+521+520000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ580000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ460000000000000000000000000000
χ1194-4-4400-24−1−5−1+522−2i32i32i3−2i3-44-4-21+5−1−51−5−1+51+51−5-20022-2−2i32i32i3−2i300001+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−52−1−52−1−521+521+52−1+52−1+521−521−51−5−1+5−1+52−1+52−1+52−1+521−521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000
χ1204-4-4400-24−1−5−1+5222i3−2i3−2i32i3-44-4-21+5−1−51−5−1+51+51−5-20022-22i3−2i3−2i32i300001+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−52−1−52−1−521+521+52−1+52−1+521−521−51−5−1+5−1+52−1+52−1+52−1+521−521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000
χ1214-4-4400-24−1+5−1−522−2i32i32i3−2i3-44-4-21−5−1+51+5−1−51−51+5-20022-2−2i32i32i3−2i300001−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−51−5−1+5−1+52−1+52−1+52−1+521−521−52−1−52−1−521+521+51+5−1−5−1−52−1−52−1−52−1−521+521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000
χ1224-4-4400-24−1+5−1−5222i3−2i3−2i32i3-44-4-21−5−1+51+5−1−51−51+5-20022-22i3−2i3−2i32i300001−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−51−5−1+5−1+52−1+52−1+52−1+521−521−52−1−52−1−521+521+51+5−1−5−1−52−1−52−1−52−1−521+521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000
χ1234-4-4400-2-24422−2i32i32i3−2i32-22-2-44-44-4-4100-1-11i3−i3−i3i30000-2-211-2-21122-222-2-1-1-1-11122-222-2-1-1-1-111−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i30000000000000000000000000000
χ1244-4-4400-2-244222i3−2i3−2i32i32-22-2-44-44-4-4100-1-11−i3i3i3−i30000-2-211-2-21122-222-2-1-1-1-11122-222-2-1-1-1-1112i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i32i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i30000000000000000000000000000
χ1254-4-4400-2-2−1−5−1+522−2i32i32i3−2i32-22-21+5−1−51−5−1+51+51−5100-1-11i3−i3−i3i300001+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ34−ζ26+ζ46ζ14−ζ34ζ26−ζ46ζ14−ζ34ζ26−ζ46−ζ14+ζ34−ζ26+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ38+ζ58−ζ2+ζ22ζ38−ζ58ζ2−ζ22ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ220000000000000000000000000000
χ1264-4-4400-2-2−1−5−1+522−2i32i32i3−2i32-22-21+5−1−51−5−1+51+51−5100-1-11i3−i3−i3i300001+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ26+ζ46−ζ14+ζ34ζ26−ζ46ζ14−ζ34ζ26−ζ46ζ14−ζ34−ζ26+ζ46−ζ14+ζ34ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22ζ38−ζ58ζ2−ζ22ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000
χ1274-4-4400-2-2−1−5−1+5222i3−2i3−2i32i32-22-21+5−1−51−5−1+51+51−5100-1-11−i3i3i3−i300001+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ34ζ26−ζ46−ζ14+ζ34−ζ26+ζ46−ζ14+ζ34−ζ26+ζ46ζ14−ζ34ζ26−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22ζ38−ζ58ζ2−ζ220000000000000000000000000000
χ1284-4-4400-2-2−1−5−1+5222i3−2i3−2i32i32-22-21+5−1−51−5−1+51+51−5100-1-11−i3i3i3−i300001+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ26−ζ46ζ14−ζ34−ζ26+ζ46−ζ14+ζ34−ζ26+ζ46−ζ14+ζ34ζ26−ζ46ζ14−ζ34−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22ζ38−ζ580000000000000000000000000000
χ1294-4-4400-2-2−1+5−1−522−2i32i32i3−2i32-22-21−5−1+51+5−1−51−51+5100-1-11i3−i3−i3i300001−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ38+ζ58−ζ2+ζ22ζ38−ζ58ζ2−ζ22ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ26+ζ46−ζ14+ζ34ζ26−ζ46ζ14−ζ34ζ26−ζ46ζ14−ζ34−ζ26+ζ46−ζ14+ζ340000000000000000000000000000
χ1304-4-4400-2-2−1+5−1−522−2i32i32i3−2i32-22-21−5−1+51+5−1−51−51+5100-1-11i3−i3−i3i300001−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22ζ38−ζ58ζ2−ζ22ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ34−ζ26+ζ46ζ14−ζ34ζ26−ζ46ζ14−ζ34ζ26−ζ46−ζ14+ζ34−ζ26+ζ460000000000000000000000000000
χ1314-4-4400-2-2−1+5−1−5222i3−2i3−2i32i32-22-21−5−1+51+5−1−51−51+5100-1-11−i3i3i3−i300001−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+521−52−1+52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−521+52−1−52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22ζ38−ζ58ζ2−ζ22−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ26−ζ46ζ14−ζ34−ζ26+ζ46−ζ14+ζ34−ζ26+ζ46−ζ14+ζ34ζ26−ζ46ζ14−ζ340000000000000000000000000000
χ1324-4-4400-2-2−1+5−1−5222i3−2i3−2i32i32-22-21−5−1+51+5−1−51−51+5100-1-11−i3i3i3−i300001−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+521−52−1+52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−521+52−1−52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ34ζ26−ζ46−ζ14+ζ34−ζ26+ζ46−ζ14+ζ34−ζ26+ζ46ζ14−ζ34ζ26−ζ460000000000000000000000000000

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