Finite Group Databasebeta

← Group #13087763

Character table — Group #13087763

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444430303030303030303030303036363636363636363636606060606060
order1222223355666666666610101010101036666666661010101015151515151515153030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030444412121212121212122410101010202020204412121212
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
χ51111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-11-111-1-1
χ61111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-11111-11-1-111
χ71111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11111-1-1-1-1-11-1-111
χ81111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-111111-111-1-1
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
χ132222222-12222-12222-1-12222222-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022-1-1-1-1
χ142222222-12222-12222-1-12222222-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-21111
χ15222222-1222-1-12-1-1-1-122-1222222-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ16222222-1222-1-12-1-1-1-122-1222222-122-1-1-1-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ172222-2-222−1−52−1+52222-2-2-2-2222−1−52−1−52−1+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+52222-2-2-2-2222−1−52−1−52−1+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+52−1−52222-2-2-2-2222−1+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+52−1−52222-2-2-2-2222−1+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
χ212222-2-22-12222-1-2-2-2-2-1-12222222-111-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000002-2-1-111
χ222222-2-22-12222-1-2-2-2-2-1-12222222-111-1-1-11111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000-2211-1-1
χ232222-2-2-1222-1-12111122-1222222-1-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-111110000000000000000
χ242222-2-2-1222-1-12111122-1222222-1-2-2-1-1-11111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2221111-1-1-1-10000000000000000
χ2522-2-20022222-2-200002-2-22-22-2-2-22002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-200000000000000000000000000000000002i−2i00002i2i−2i−2i0000000000000000
χ2622-2-20022222-2-200002-2-22-22-2-2-22002-2-200000000222222222-2-22-2-222-2-2-2-22-2-22-2-222-2-2-2-20000000000000000000000000000000000−2i2i0000−2i−2i2i2i0000000000000000
χ2722-2-200-1222-11-2−i3−i3i3i32-212-22-2-2-2-100-111−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
χ2822-2-200-1222-11-2−i3−i3i3i32-212-22-2-2-2-100-111−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
χ2922-2-200-1222-11-2i3i3−i3−i32-212-22-2-2-2-100-111i3i3−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
χ3022-2-200-1222-11-2i3i3−i3−i32-212-22-2-2-2-100-111i3i3−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
χ312-22-2002222-22-20000-22-2-22-22-2-2200-22-20000000022222222-22-2-22-2-2-222-2-2-22-2-22-2-2-222-2-2000000000000000000000000000000002i−2i002i−2i2i−2i00000000000000000000
χ322-22-2002222-22-20000-22-2-22-22-2-2200-22-20000000022222222-22-2-22-2-2-222-2-2-22-2-22-2-2-222-2-200000000000000000000000000000000−2i2i00−2i2i−2i2i00000000000000000000
χ332-22-200-12221-1-2−i3i3−i3i3-221-22-22-2-2-1001-11−i3i3−i3i30000-12-1-1-12-1-11-11-22-211-1-1111-11-22-211-1-111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32i−2i00−ii−ii3−33−30000000000000000
χ342-22-200-12221-1-2−i3i3−i3i3-221-22-22-2-2-1001-11−i3i3−i3i30000-12-1-1-12-1-11-11-22-211-1-1111-11-22-211-1-111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−2i2i00i−ii−i−33−330000000000000000
χ352-22-200-12221-1-2i3−i3i3−i3-221-22-22-2-2-1001-11i3−i3i3−i30000-12-1-1-12-1-11-11-22-211-1-1111-11-22-211-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32i−2i00−ii−ii−33−330000000000000000
χ362-22-200-12221-1-2i3−i3i3−i3-221-22-22-2-2-1001-11i3−i3i3−i30000-12-1-1-12-1-11-11-22-211-1-1111-11-22-211-1-111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3−2i2i00i−ii−i3−33−30000000000000000
χ372-2-222-22222-2-222-2-22-2-22-2-2-2-22222-2-2-222-2-222-22-222222222-2-22-2-22-2-2-2-222-2-22-2-22-2-2-2-2222-2-2222-2-222-2-2-2-2222-2-2222-2-222-2-2-2-2220000000000000000000000000000
χ382-2-222-222−1−52−1+52-2-222-2-22-2-221+521+521−521−52−1−52−1+5222-2-2-222-2-22−1−521+52−1+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1−521+521+52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1+521−521−52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+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
χ392-2-222-222−1−52−1+52-2-222-2-22-2-221+521+521−521−52−1−52−1+5222-2-2-222-2-22−1−521+52−1+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1−521+521+52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−1+521−521−52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+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
χ402-2-222-222−1+52−1−52-2-222-2-22-2-221−521−521+521+52−1+52−1−5222-2-2-222-2-22−1+521−52−1−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−52−1+521−521−52−1+521−521−521−521−52−1+52−1+521+521+52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1+521−521−52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−1−521+521+52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−5200000000000000ζ2+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
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χ422-2-222-22-122-2-2-12-2-22112-2-2-2-222-1-1111-1-111-12-22-22-1-1-12-1-1-1-2-2211-11111-1-1-2-2211-11111-1-12-2-22-1-111-1-11111-1-12-2-22-1-111-1-11111-1-10000000000000000000000003−33−3
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χ1184-4-444-4-24−1+5−1−5224-222-2-4-4-21−51−51+51+5−1+5−1−5-24-422-2-222-2−1+51−5−1−51+51−52−1+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+521−52−1+52−1+521−52−1+5−1+51−51−51−521−52−1+52−1+52−1+52−1+521−521−521+52−1−52−1−521+52−1−5−1−51+51+51+521+52−1−52−1−52−1−52−1−521+521+520000000000000000000000000000
χ1194-4-444-4-2-24422-2-222-222-2-4-4-4-4441-22-1-111-1-114-44-4-2-211-2-21122-222-2-1-1-1-11122-222-2-1-1-1-111-222-2-2-22211-1-1-1-111-222-2-2-22211-1-1-1-1110000000000000000000000000000
χ1204-4-444-4-2-2−1−5−1+522-2-222-222-21+51+51−51−5−1−5−1+51-22-1-111-1-11−1−51+5−1+51−51+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+2ζ581+52−1−52−1−521+521+521+52−1−52−1−52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−52−1+52−1+521−521−521−52−1+52−1+522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000000000000000000000000000
χ1214-4-444-4-2-2−1−5−1+522-2-222-222-21+51+51−51−5−1−5−1+51-22-1-111-1-11−1−51+5−1+51−51+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−ζ581+52−1−52−1−521+521+521+52−1−52−1−522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−52−1+52−1+521−521−521−52−1+52−1+52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000000000000000000000000000
χ1224-4-444-4-2-2−1+5−1−522-2-222-222-21−51−51+51+5−1+5−1−51-22-1-111-1-11−1+51−5−1−51+51−521−522ζ2+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+2ζ461−52−1+52−1+521−521−521−52−1+52−1+522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+52−1−52−1−521+521+521+52−1−52−1−522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000000000000000000000000000
χ1234-4-444-4-2-2−1+5−1−522-2-222-222-21−51−51+51+5−1+5−1−51-22-1-111-1-11−1+51−5−1−51+51−521−52−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−ζ461−52−1+52−1+521−521−521−52−1+52−1+52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+52−1−52−1−521+521+521+52−1−52−1−52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000000000000000000000000000
χ1244-4-44-444-2−1−5−1+5-4-4-2-444-42241+51+51−51−5−1−5−1+5-22-222-22-2-221+5−1−51−5−1+5−1−51+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+521−521−521+5−1−5−1−51+5−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−521−5−1+5−1+51−5−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+520000000000000000000000000000
χ1254-4-44-444-2−1+5−1−5-4-4-2-444-42241−51−51+51+5−1+5−1−5-22-222-22-2-221−5−1+51+5−1−5−1+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+521−5−1+5−1+51−5−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+521+5−1−5−1−51+5−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−520000000000000000000000000000
χ1264-4-44-44-24−1−5−1+52242-2-22-4-4-21+51+51−51−5−1−5−1+5-2-4422-22-2-221+5−1−51−5−1+51+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+521−521−52−1−521+521+52−1−521+51+5−1−5−1−5−1−52−1−521+521+521+521+52−1−52−1−52−1+521−521−52−1+521−51−5−1+5−1+5−1+52−1+521−521−521−521−52−1+52−1+520000000000000000000000000000
χ1274-4-44-44-24−1+5−1−52242-2-22-4-4-21−51−51+51+5−1+5−1−5-2-4422-22-2-221−5−1+51+5−1−51−52−1+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+52−1+521−521−52−1+521−51−5−1+5−1+5−1+52−1+521−521−521−521−52−1+52−1+52−1−521+521+52−1−521+51+5−1−5−1−5−1−52−1−521+521+521+521+52−1−52−1−520000000000000000000000000000
χ1284-4-44-44-2-24422-22-2-2222-2-4-4-4-44412-2-1-11-111-1-44-44-2-211-2-21122-222-2-1-1-1-11122-222-2-1-1-1-1112-2-2222-2-2-1-11111-1-12-2-2222-2-2-1-11111-1-10000000000000000000000000000
χ1294-4-44-44-2-2−1−5−1+522-22-2-2222-21+51+51−51−5−1−5−1+512-2-1-11-111-11+5−1−51−5−1+51+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+2ζ58−1−521+521+52−1−52−1−52−1−521+521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+521−521−52−1+52−1+52−1+521−521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ580000000000000000000000000000
χ1304-4-44-44-2-2−1−5−1+522-22-2-2222-21+51+51−51−5−1−5−1+512-2-1-11-111-11+5−1−51−5−1+51+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−ζ58−1−521+521+52−1−52−1−52−1−521+521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+521−521−52−1+52−1+52−1+521−521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ580000000000000000000000000000
χ1314-4-44-44-2-2−1+5−1−522-22-2-2222-21−51−51+51+5−1+5−1−512-2-1-11-111-11−5−1+51+5−1−51−521−522ζ2+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+2ζ46−1+521−521−52−1+52−1+52−1+521−521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−521+521+52−1−52−1−52−1−521+521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ460000000000000000000000000000
χ1324-4-44-44-2-2−1+5−1−522-22-2-2222-21−51−51+51+5−1+5−1−512-2-1-11-111-11−5−1+51+5−1−51−521−52−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−ζ46−1+521−521−52−1+52−1+52−1+521−521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−521+521+52−1−52−1−52−1−521+521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ460000000000000000000000000000

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