Finite Group Databasebeta

← Group #13086916

Character table — Group #13086916

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444441010181820202020202020202020202020202020203636363636363636369090180
order1222333355666666666666101010101010412121212121212121515151515151515202020203030303030303030303030303030303030303030303030306060606060606060606060606060606060606060606060606060606060606060444441212121212121212121212121212121221010101020202020442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1
χ922222222−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520022000000000000000002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000
χ1022222222−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200-2-200000000000000000-21+521+521−521−521+521+521−521−52000
χ1122222222−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+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+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52002200000000000000000-21+521+521−521−52−1−52−1−52−1+52−1+52000
χ1222222222−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+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+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5200-2-2000000000000000002−1−52−1−52−1+52−1+521+521+521−521−52000
χ1322222222−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520022000000000000000002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000
χ1422222222−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200-2-200000000000000000-21−521−521+521+521−521−521+521+52000
χ1522222222−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52002200000000000000000-21−521−521+521+52−1+52−1+52−1−52−1−52000
χ1622222222−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+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+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+5200-2-2000000000000000002−1+52−1+52−1−52−1−521−521−521+521+52000
χ1722222-1-1-12222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1822222-1-1-12222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2111111-2-2111111000000000000
χ1922222-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112200-222-1-1-1-1-1-1-2-2111111000000000000
χ2022222-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-2-21111112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2002-2-211111122-1-1-1-1-1-1000000000000
χ212222-12-1-122-1-122-1-1-1-1-12-1-12222222-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ222222-12-1-122-1-122-1-1-1-1-12-1-12222222-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-211-2-2111111-2-21111000000000000
χ232222-12-1-122-1-122-1-1-1-1-12-1-1222222-211-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112200-2-1-122-1-1-1-111-2-21111000000000000
χ242222-12-1-122-1-122-1-1-1-1-12-1-1222222-211-2-21111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200211-2-21111-1-122-1-1-1-1000000000000
χ252222-1-12-122-1-1-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122002-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ262222-1-12-122-1-1-1-122-1-1-1-12-12222222-1-1-1-122-1-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-200-21111-2-2111111-2-211000000000000
χ272222-1-12-122-1-1-1-122-1-1-1-12-1222222-21111-2-211-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211112200-2-1-1-1-122-1-11111-2-211000000000000
χ282222-1-12-122-1-1-1-122-1-1-1-12-1222222-21111-2-211-1-12-1-1-12-1-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-2-20021111-2-211-1-1-1-122-1-1000000000000
χ292222-1-1-1222-1-1-1-1-1-122-1-1-122222222-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222002-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ302222-1-1-1222-1-1-1-1-1-122-1-1-122222222-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-200-2111111-2-2111111-2-2000000000000
χ312222-1-1-1222-1-1-1-1-1-122-1-1-12222222-2111111-2-2-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-22200-2-1-1-1-1-1-122111111-2-2000000000000
χ322222-1-1-1222-1-1-1-1-1-122-1-1-12222222-2111111-2-2-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-2-2002111111-2-2-1-1-1-1-1-122000000000000
χ3322-2-22222222-22-22-22-2-2-2-2-2-2-2-2-2220000000002222222200002-22-22-22-22-22-22-22-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000002i−2i0
χ3422-2-22222222-22-22-22-2-2-2-2-2-2-2-2-2220000000002222222200002-22-22-22-22-22-22-22-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000−2i2i0
χ352-22-2222222-2-2-2-2-2-2-2-22222-2-222-2-2000000000222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-20002-22-22-22-200000000000000000000
χ362-22-2222222-2-2-2-2-2-2-2-22222-2-222-2-2000000000222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-22000-22-22-22-2200000000000000000000
χ372-22-22-1-1-122-2-21111112-1-1-1-2-222-2-2000−i3i3−i3i3−i3i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-20002-2-11-11-1100−i3i3−i3i3−i3i3000000000000
χ382-22-22-1-1-122-2-21111112-1-1-1-2-222-2-2000−i3i3−i3i3−i3i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-22000-221-11-11-100i3−i3i3−i3i3−i3000000000000
χ392-22-22-1-1-122-2-21111112-1-1-1-2-222-2-2000i3−i3i3−i3i3−i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-20002-2-11-11-1100i3−i3i3−i3i3−i3000000000000
χ402-22-22-1-1-122-2-21111112-1-1-1-2-222-2-2000i3−i3i3−i3i3−i32-1-1-12-1-1-10000-2-2111111-2-21111112-1-1-12-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-22000-221-11-11-100−i3i3−i3i3−i3i3000000000000
χ412-22-2-12-1-12211-2-21111-12-1-1-2-222-2-20−i3i300−i3i3i3−i3-12-1-1-12-1-1000011-2-2111111-2-21111-12-1-1-12-1-1−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i32-2000-112-2-11-11−i3i300−i3i3i3−i3000000000000
χ422-22-2-12-1-12211-2-21111-12-1-1-2-222-2-20−i3i300−i3i3i3−i3-12-1-1-12-1-1000011-2-2111111-2-21111-12-1-1-12-1-1−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-220001-1-221-11-1i3−i300i3−i3−i3i3000000000000
χ432-22-2-12-1-12211-2-21111-12-1-1-2-222-2-20i3−i300i3−i3−i3i3-12-1-1-12-1-1000011-2-2111111-2-21111-12-1-1-12-1-1i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i32-2000-112-2-11-11i3−i300i3−i3−i3i3000000000000
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χ1274-4-44-24-2-2−1+5−1−52-2-442-22-22-422−1+5−1−51−51+51−51+50000000001−52−1+51−521−521+52−1−51+521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+521−521−5−1+5−1+521−52−1+521−52−1−521+521+5−1−5−1−521+52−1−521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000000000
χ1284-4-44-24-2-2−1+5−1−52-2-442-22-22-422−1+5−1−51−51+51−51+50000000001−52−1+51−521−521+52−1−51+521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+521−521−5−1+5−1+521−52−1+521−52−1−521+521+5−1−5−1−521+52−1−521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000000000000
χ1294-4-44-2-24-2442-22-2-442-222-4244-4-4-4-4000000000-2-24-2-2-24-200002-22-2-442-22-22-2-442-222-4222-4200000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-2-24-2−1−5−1+52-22-2-442-222-42−1−5−1+51+51−51+51−50000000001+521+52−1−51+521−521−52−1+51−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−521+52−1−521+521+5−1−5−1−521+52−1+521−52−1+521−521−5−1+5−1+521−52−1−52−1−521+5−1−52−1+52−1+521−5−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000000000000000
χ1314-4-44-2-24-2−1−5−1+52-22-2-442-222-42−1−5−1+51+51−51+51−50000000001+521+52−1−51+521−521−52−1+51−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−521+52−1−521+521+5−1−5−1−521+52−1+521−52−1+521−521−5−1+5−1+521−52−1−52−1−521+5−1−52−1+52−1+521−5−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000000000000000000
χ1324-4-44-2-24-2−1+5−1−52-22-2-442-222-42−1+5−1−51−51+51−51+50000000001−521−52−1+51−521+521+52−1−51+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+521−52−1+521−521−5−1+5−1+521−52−1−521+52−1−521+521+5−1−5−1−521+52−1+52−1+521−5−1+52−1−52−1−521+5−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000000000
χ1334-4-44-2-24-2−1+5−1−52-22-2-442-222-42−1+5−1−51−51+51−51+50000000001−521−52−1+51−521+521+52−1−51+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+521−52−1+521−521−5−1+5−1+521−52−1−521+52−1−521+521+5−1−5−1−521+52−1+52−1+521−5−1+52−1−52−1−521+5−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000000000000
χ1344-4-44-2-2-24442-22-22-2-44222-444-4-4-4-4000000000-2-2-24-2-2-2400002-22-22-2-442-22-22-2-44222-4222-400000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-2-2-24−1−5−1+52-22-22-2-44222-4−1−5−1+51+51−51+51−50000000001+521+521+52−1−51−521−521−52−1+5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−521+52−1−521+52−1−521+521+5−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000000000000
χ1364-4-44-2-2-24−1−5−1+52-22-22-2-44222-4−1−5−1+51+51−51+51−50000000001+521+521+52−1−51−521−521−52−1+52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−521+52−1−521+52−1−521+521+5−1−5−1+521−52−1+521−52−1+521−521−5−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000000000000
χ1374-4-44-2-2-24−1+5−1−52-22-22-2-44222-4−1+5−1−51−51+51−51+50000000001−521−521−52−1+51+521+521+52−1−52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000000000000
χ1384-4-44-2-2-24−1+5−1−52-22-22-2-44222-4−1+5−1−51−51+51−51+50000000001−521−521−52−1+51+521+521+52−1−5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+521−52−1+521−52−1+521−521−5−1+5−1−521+52−1−521+52−1−521+521+5−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000000000000

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