Finite Group Databasebeta

← Group #13088935

Character table — Group #13088935

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222244444444444444444444666666668888888810101010101012121212121212121212121212121212121212121212121212121515151518182020202020203030303030303636363660609090
order124433556610101212121220202020361212151515153030303060606060606060602244661212151530306060606024661212610101010122020202030303030303030306060606060606060224424666121212246612121010202061224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-11-1111111111111111111-111-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-11-1111111111111-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-11-11-1-1-1-1111111111111111-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-11-11-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1
χ911-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111111-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1111-1-1-1-111-111-1
χ1011-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-11111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-111-1-1111-1-11
χ1111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-11-111-1-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1111-1-1-11-111-1-111-1-11-1-11
χ1211-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-11-1-111-111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1111-11-1-11111-1-1-111-1
χ1311-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-111-1-11-1-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111-1-1-1-11-1-11111-1-1-11-11
χ1411-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11-1-1111-1-111-111-1-1-1-1-1-111111111-1-1-1-111-1-11-1-1-1-11111-111-1-111-1-11-11-1
χ1511-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-11111-1-1-11-1-1-111-1-1111-11-1
χ1611-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-11-1-1-1111-1111-1-1-1-111-11-11
χ17222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+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+520000002−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022000000000000−1−52−1+52−1−52−1+520000
χ18222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2−1−52−1+521+521−52-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-20000000000001+521−521+521−520000
χ19222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-22-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000021+521−52−1−52−1+5221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000-2-20000000000001+521−521+521−520000
χ20222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-21+521−521+521−52-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000022000000000000−1−52−1+52−1−52−1+520000
χ21222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000002−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022000000000000−1+52−1−52−1+52−1−520000
χ22222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2−1+52−1−521−521+52-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-20000000000001−521+521−521+520000
χ23222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-22-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000021−521+52−1+52−1−5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000-2-20000000000001−521+521−521+520000
χ24222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-21−521+521−521+52-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000022000000000000−1+52−1−52−1+52−1−520000
χ2522222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-102020000-1-1-1-1-1-1-1-1222222-10022-100220000-1-1-1-10000-1-1-1-1000000-1-1-1-1-1-12200000000-1-100
χ2622222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-102020000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-10022-100220000-1-1-1-10000-1-1-1-1000000111111-2-2000000001100
χ2722222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-10-20-20000-1-1-1-1-1-1-1-1222222100-2-2100-2-20000111100001111000000-1-1-1-1-1-1-2-2000000001100
χ2822222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-10-20-20000-1-1-1-1-1-1-1-1-2-2-2-2-2-2100-2-2100-2-200001111000011110000001111112200000000-1-100
χ292222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-1222020-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10220002200-1-1-1-10000-1-1-1-100002222002-1-12-1-100-1-1-1-100000000
χ302222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-1222020-1-1-1-1-1-1-1-1-1-1-1-1-2-211110220002200-1-1-1-10000-1-1-1-10000-2-2-2-200-211-21100111100000000
χ312222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-122-20-201111-1-1-1-1-1-1-1-122-1-1-1-10-2-2000-2-2001111000011110000-2-2-2-2002-1-12-1-100111100000000
χ322222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-122-20-201111-1-1-1-1-1-1-1-1-2-211110-2-2000-2-2001111000011110000222200-211-21100-1-1-1-100000000
χ3322-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−520000002−1−52−1+52−1−52−1+52-21+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+521−521−520000-220000000000001+521−52−1−52−1+520000
χ3422-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-2222-2-2−1−52−1+52−1−52−1+521+521+521−521−52000000-2−1−52−1+521+521−5221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-2000000000000−1−52−1+521+521−520000
χ3522-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2-222−1−52−1+52−1−52−1+521+521+521−521−5200000021+521−52−1−52−1+52-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200002-2000000000000−1−52−1+521+521−520000
χ3622-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-222-2-222−1−52−1+52−1−52−1+521+521+521−521−52000000-21+521−521+521−522−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-220000000000001+521−52−1−52−1+520000
χ3722-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+520000002−1+52−1−52−1+52−1−52-21−521+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+520000-220000000000001−521+52−1+52−1−520000
χ3822-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-2222-2-2−1+52−1−52−1+52−1−521−521−521+521+52000000-2−1+52−1−521−521+5221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-2000000000000−1+52−1−521−521+520000
χ3922-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2-222−1+52−1−52−1+52−1−521−521−521+521+5200000021−521+52−1+52−1−52-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002-2000000000000−1+52−1−521−521+520000
χ4022-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-222-2-222−1+52−1−52−1+52−1−521−521−521+521+52000000-21−521+521−521+522−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-220000000000001−521+52−1+52−1−520000
χ4122-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-211020-20000-1-1-1-111112-222-2-2-10022100-2-20000-1-1-1-100001111000000-1-1-1111-22000000001-100
χ4222-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-211020-20000-1-1-1-11111-22-2-222-10022100-2-20000-1-1-1-100001111000000111-1-1-12-200000000-1100
χ4322-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-2110-2020000-1-1-1-111112-222-2-2100-2-2-10022000011110000-1-1-1-1000000-1-1-11112-200000000-1100
χ4422-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-2110-2020000-1-1-1-11111-22-2-222100-2-2-10022000011110000-1-1-1-1000000111-1-1-1-22000000001-100
χ4522-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-220-20-1-111-1-1-1-111112-2-1-111022000-2-200-1-1-1-100001111000022-2-2002-1-1-21100-1-11100000000
χ4622-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-220-20-1-111-1-1-1-11111-2211-1-1022000-2-200-1-1-1-1000011110000-2-22200-2112-1-10011-1-100000000
χ4722-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-2-202011-1-1-1-1-1-111112-2-1-1110-2-2000220011110000-1-1-1-10000-2-222002-1-1-2110011-1-100000000
χ4822-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-2-202011-1-1-1-1-1-11111-2211-1-10-2-2000220011110000-1-1-1-1000022-2-200-2112-1-100-1-11100000000
χ492-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i000000000000000000000000000000002-22i−2i00000000002-22i−2i00000000
χ502-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i00000000000000000000000000000000-22−2i2i0000000000-22−2i2i00000000
χ512-22i−2i-12221-2-2-2−ii2i−2i2i−2i2i−2i-11−ii-12-121-21-2−ii2i−2i−ii2i−2i0000−i3i33−3-1-111−ii−ii00−i3i33−30000000000−i3i3−i3i300003−33−300002-22i−2i000−i3i303−300-11−ii00000000
χ522-22i−2i-12221-2-2-2−ii2i−2i2i−2i2i−2i-11−ii-12-121-21-2−ii2i−2i−ii2i−2i0000−i3i33−3-1-111−ii−ii00i3−i3−330000000000−i3i3−i3i300003−33−30000-22−2i2i000i3−i30−33001-1i−i00000000
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χ944-4−4i4i44−1−5−1+5-4-41+51−5−4i4i−4i4i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ474-4−4i4i−1−5−1−5−1+5−1+51+51+51−51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000−1−5−1+51+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000
χ954-4−4i4i44−1+5−1−5-4-41−51+5−4i4i−4i4i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ594-4−4i4i−1+5−1+5−1−5−1−51−51−51+51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000
χ964-4−4i4i4-244-42-4-4−4i4i2i−2i−4i4i−4i4i-222i−2i4-24-2-42-42−4i4i2i−2i−4i4i2i−2i00000000-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ974-4−4i4i4-2−1−5−1+5-421+51−5−4i4i2i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47-222i−2i−1−51+52−1+51−521+5−1−521−5−1+522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000001+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ580000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000
χ984-4−4i4i4-2−1−5−1+5-421+51−5−4i4i2i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47-222i−2i−1−51+52−1+51−521+5−1−521−5−1+522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000001+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ580000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000
χ994-4−4i4i4-2−1+5−1−5-421−51+5−4i4i2i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59-222i−2i−1+51−52−1−51+521−5−1+521+5−1−522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000001−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ460000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000
χ1004-4−4i4i4-2−1+5−1−5-421−51+5−4i4i2i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59-222i−2i−1+51−52−1−51+521−5−1+521+5−1−522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000001−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ460000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000
χ1014-4−4i4i-24−1−5−1+52-41+51−52i−2i−4i4i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47-222i−2i1+52−1−51−52−1+5−1−521+5−1+521−5−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−2i32i3−23231+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47000000000000000000000000000000
χ1024-4−4i4i-24−1−5−1+52-41+51−52i−2i−4i4i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47-222i−2i1+52−1−51−52−1+5−1−521+5−1+521−5−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700002i3−2i323−231+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47000000000000000000000000000000
χ1034-4−4i4i-24−1+5−1−52-41−51+52i−2i−4i4i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59-222i−2i1−52−1+51+52−1−5−1+521−5−1−521+5−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−2i32i3−23231−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000
χ1044-4−4i4i-24−1+5−1−52-41−51+52i−2i−4i4i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59-222i−2i1−52−1+51+52−1−5−1+521−5−1−521+5−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900002i3−2i323−231−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000
χ1054-4−4i4i-2-24422-4-42i−2i2i−2i−4i4i−4i4i1-1−ii-2-2-2-222222i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii00−2i32i3−2323000000000000000000000000000000000i3−i303−300000000000000
χ1064-4−4i4i-2-24422-4-42i−2i2i−2i−4i4i−4i4i1-1−ii-2-2-2-222222i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii002i3−2i323−23000000000000000000000000000000000−i3i30−3300000000000000
χ1078888-4-4−2−25−2+25-4-4−2−25−2+25-4-4-4-4−2−25−2−25−2+25−2+2522221+51+51−51−51+51+51−51−51+51+51+51+51−51−51−51−500000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000
χ1088888-4-4−2+25−2−25-4-4−2+25−2−25-4-4-4-4−2+25−2+25−2−25−2−2522221−51−51+51+51−51−51+51+51−51−51−51−51+51+51+51+500000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4−2−25−2+25-4-4−2−25−2+2544442+252+252−252−2522-2-21+51+51−51−51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4−2+25−2−25-4-4−2+25−2−2544442−252−252+252+2522-2-21−51−51+51+51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000
χ1118-88i−8i-4-4−2−25−2+25442+252−25−4i4i−4i4i−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ472-22i−2i1+51+51−51−5−1−5−1−5−1+5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000000000000000000000000000000000
χ1128-88i−8i-4-4−2+25−2−25442−252+25−4i4i−4i4i−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ592-22i−2i1−51−51+51+5−1+5−1+5−1−5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i-4-4−2−25−2+25442+252−254i−4i4i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ472-2−2i2i1+51+51−51−5−1−5−1−5−1+5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i-4-4−2+25−2−25442−252+254i−4i4i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ592-2−2i2i1−51−51+51+5−1+5−1+5−1−5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000000000000000000000000000000000000000000000000000

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