Finite Group Databasebeta

← Group #13087755

Character table — Group #13087755

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444415151515181818183030303030303030303030303030363636363636363660606060
order1222223355666666666610101010101036666666661010101015151515151515153030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030444444444444441212121212121212202020202020202012121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ81111-1-11111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ91-1-111-111111-1-111-1-1-1-1111-1-1-1-111-11-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1i−ii−ii−ii−i1-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-111-111111-1-111-1-1-1-1111-1-1-1-111-11-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−ii−ii−ii−ii1-111-1-111-1-1−i−iii−i−iii−ii−ii
χ111-1-111-111111-1-111-1-1-1-1111-1-1-1-111-11-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i−ii−ii-11-1-111-1-111ii−i−iii−i−i−ii−ii
χ121-1-111-111111-1-111-1-1-1-1111-1-1-1-111-11-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−iii−ii−i-11-1-111-1-111−i−iii−i−iiii−ii−i
χ131-1-11-1111111-1-1-1-111-1-1111-1-1-1-11-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1i−i−iii−i−ii-1111-1-1-1-111ii−i−i−i−iiii−i−ii
χ141-1-11-1111111-1-1-1-111-1-1111-1-1-1-11-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−iii−i−iii−i-1111-1-1-1-111−i−iiiii−i−i−iii−i
χ151-1-11-1111111-1-1-1-111-1-1111-1-1-1-11-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111i−i−ii−iii−i1-1-1-11111-1-1ii−i−i−i−iii−iii−i
χ161-1-11-1111111-1-1-1-111-1-1111-1-1-1-11-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111−iii−ii−i−ii1-1-1-11111-1-1−i−iiiii−i−ii−i−ii
χ1722222222−1−52−1+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+520000222200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ1822222222−1−52−1+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+520000-2-2-2-2000000000000001+521−521+521−521+521−521+521−520000
χ1922222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000222200000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ2022222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000-2-2-2-2000000000000001−521+521−521+521−521+521−521+520000
χ212222222-1222-1-1-1-1-1-122-1222222-122-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ222222222-1222-1-1-1-1-1-122-1222222-122-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ23222222-1222-1222222-1-12222222-1-1-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000000000000000000-1-1-1-1
χ24222222-1222-1222222-1-12222222-1-1-1-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-20000000000000000001111
χ252222-2-222−1−52−1+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+521−521−521−521−521−521−521−521−52000022-2-200000000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ262222-2-222−1−52−1+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+521−521−521−521−521−521−521−521−520000-2-222000000000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ272222-2-222−1+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+52000022-2-200000000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ282222-2-222−1+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+520000-2-222000000000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ292222-2-22-1222-1-1111122-1222222-1-2-2-1-1-11111-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111222200000000-2-2-1-1-1-11111000000000000
χ302222-2-22-1222-1-1111122-1222222-1-2-2-1-1-11111-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-2-2-200000000221111-1-1-1-1000000000000
χ312222-2-2-1222-122-2-2-2-2-1-12222222-111-1-1-11111-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000000022-2-2000000000000000000-1-111
χ322222-2-2-1222-122-2-2-2-2-1-12222222-111-1-1-11111-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000-2-22200000000000000000011-1-1
χ3322-2-2002222-22-200002-2-2-2-22-22-2200-22-20000000022222222-2-2-2-2-2-2-2-22-22-222-2-22-22-222-2-2000000000000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i0000000000000000
χ3422-2-2002222-22-200002-2-2-2-22-22-2200-22-20000000022222222-2-2-2-2-2-2-2-22-22-222-2-22-22-222-2-200000000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i0000000000000000
χ3522-2-2002-122-2-11−i3i3−i3i32-21-2-22-22-2-1001-11−i3i3−i3i300002-1-1-12-1-1-1-2111-21112-2-11-1-1112-2-11-1-11100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32i−2i2i−2i0000000000−ii−ii3−33−3000000000000
χ3622-2-2002-122-2-11−i3i3−i3i32-21-2-22-22-2-1001-11−i3i3−i3i300002-1-1-12-1-1-1-2111-21112-2-11-1-1112-2-11-1-11100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3−2i2i−2i2i0000000000i−ii−i−33−33000000000000
χ3722-2-2002-122-2-11i3−i3i3−i32-21-2-22-22-2-1001-11i3−i3i3−i300002-1-1-12-1-1-1-2111-21112-2-11-1-1112-2-11-1-11100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32i−2i2i−2i0000000000−ii−ii−33−33000000000000
χ3822-2-2002-122-2-11i3−i3i3−i32-21-2-22-22-2-1001-11i3−i3i3−i300002-1-1-12-1-1-1-2111-21112-2-11-1-1112-2-11-1-11100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3−2i2i−2i2i0000000000i−ii−i3−33−3000000000000
χ392-22-2002222-2-220000-22-2-2-2-22-22200-2-220000000022222222-2-2-2-2-2-2-2-2-22-22-2-222-22-22-2-222000000000000000000000000000000002i−2i−2i2i00000000002i−2i−2i2i0000000000000000
χ402-22-2002222-2-220000-22-2-2-2-22-22200-2-220000000022222222-2-2-2-2-2-2-2-2-22-22-2-222-22-22-2-22200000000000000000000000000000000−2i2i2i−2i0000000000−2i2i2i−2i0000000000000000
χ412-22-2002-122-21-1−i3i3i3−i3-221-2-2-22-22-10011-1−i3i3i3−i300002-1-1-12-1-1-1-2111-2111-221-111-1-1-221-111-1-100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32i−2i−2i2i0000000000−iii−i3−3−33000000000000
χ422-22-2002-122-21-1−i3i3i3−i3-221-2-2-22-22-10011-1−i3i3i3−i300002-1-1-12-1-1-1-2111-2111-221-111-1-1-221-111-1-100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3−2i2i2i−2i0000000000i−i−ii−333−3000000000000
χ432-22-2002-122-21-1i3−i3−i3i3-221-2-2-22-22-10011-1i3−i3−i3i300002-1-1-12-1-1-1-2111-2111-221-111-1-1-221-111-1-100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32i−2i−2i2i0000000000−iii−i−333−3000000000000
χ442-22-2002-122-21-1i3−i3−i3i3-221-2-2-22-22-10011-1i3−i3−i3i300002-1-1-12-1-1-1-2111-2111-221-111-1-1-221-111-1-100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3−2i2i2i−2i0000000000i−i−ii3−3−33000000000000
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χ1224-4-444-44-2−1+5−1−5422-2-222-4-4-2−1+5−1−51−51−51+51+5-24-4-222-2-222−1+5−1−51−51+5−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000000000000000000
χ1234-4-444-4-24−1−5−1+5-2-4-444-4-4224−1−5−1+51+51+51−51−5-2-22-222-2-222−1−5−1+51+51−51+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+520000000000000000000000000000000000
χ1244-4-444-4-24−1+5−1−5-2-4-444-4-4224−1+5−1−51−51−51+51+5-2-22-222-2-222−1+5−1−51−51+51−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−520000000000000000000000000000000000
χ1254-4-444-4-2-244-222-2-22222-244-4-4-4-41-221-1-111-1-144-4-4-2-211-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ1264-4-444-4-2-2−1−5−1+5-222-2-22222-2−1−5−1+51+51+51−51−51-221-1-111-1-1−1−5−1+51+51−51+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ580000000000000000000000000000000000
χ1274-4-444-4-2-2−1−5−1+5-222-2-22222-2−1−5−1+51+51+51−51−51-221-1-111-1-1−1−5−1+51+51−51+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ580000000000000000000000000000000000
χ1284-4-444-4-2-2−1+5−1−5-222-2-22222-2−1+5−1−51−51−51+51+51-221-1-111-1-1−1+5−1−51−51+51−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ460000000000000000000000000000000000
χ1294-4-444-4-2-2−1+5−1−5-222-2-22222-2−1+5−1−51−51−51+51+51-221-1-111-1-1−1+5−1−51−51+51−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ460000000000000000000000000000000000
χ1304-4-44-444-2−1−5−1+542222-2-2-4-4-2−1−5−1+51+51+51−51−5-2-44-22222-2-21+51−5−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−520000000000000000000000000000000000
χ1314-4-44-444-2−1+5−1−542222-2-2-4-4-2−1+5−1−51−51−51+51+5-2-44-22222-2-21−51+5−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−52−1+5−1+51−521−521−521−521−521−52−1−5−1−51+521+521+521+521+521+520000000000000000000000000000000000
χ1324-4-44-44-24−1−5−1+5-2-4-4-4-444224−1−5−1+51+51+51−51−5-22-2-22222-2-21+51−5−1−5−1+51+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+521+521+52−1−5−1−51+521+521+521+521−521−52−1+5−1+51−521−521−521−520000000000000000000000000000000000
χ1334-4-44-44-24−1+5−1−5-2-4-4-4-444224−1+5−1−51−51−51+51+5-22-2-22222-2-21−51+5−1+5−1−51−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+520000000000000000000000000000000000
χ1344-4-44-44-2-244-22222-2-222-244-4-4-4-412-21-1-1-1-111-4-444-2-211-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ1354-4-44-44-2-2−1−5−1+5-22222-2-222-2−1−5−1+51+51+51−51−512-21-1-1-1-1111+51−5−1−5−1+51+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000000000000000000000000000000000
χ1364-4-44-44-2-2−1−5−1+5-22222-2-222-2−1−5−1+51+51+51−51−512-21-1-1-1-1111+51−5−1−5−1+51+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000000000000000000000000000000000
χ1374-4-44-44-2-2−1+5−1−5-22222-2-222-2−1+5−1−51−51−51+51+512-21-1-1-1-1111−51+5−1+5−1−51−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−521−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+521+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000000000000000000000000000000000
χ1384-4-44-44-2-2−1+5−1−5-22222-2-222-2−1+5−1−51−51−51+51+512-21-1-1-1-1111−51+5−1+5−1−51−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−521−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+521+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000000000000000000000000000000000

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