Finite Group Databasebeta

← Group #13087060

Character table — Group #13087060

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444441010181820202020202020202020202020202020203636363636363636369090180
order122233335566666666666610101010101026666666610101010151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030302222466666666121212121212121241010101020202020224
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1
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+52−1−52-2-2-2-2-2-2-2-2-21−521−521+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+52002200000000000000000-2−1+52−1+52−1−52−1−521−521−521+521+52000
χ1222222222−1+52−1−52222222222222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-21−521−521+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+5200-2-20000000000000000021−521−521+521+52−1+52−1+52−1−52−1−52000
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+52-2-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52002200000000000000000-2−1−52−1−52−1+52−1+521+521+521−521−52000
χ1622222222−1−52−1+52222222222222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-21+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5200-2-20000000000000000021+521+521−521−52−1−52−1−52−1+52−1+52000
χ1722222-1-1-12222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1822222-1-1-12222-1-1-1-1-1-12-1-1-1222222222-1-1-1-1-1-122222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2111111-2-2111111000000000000
χ1922222-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-2-2111111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112200-222-1-1-1-1-1-1-2-2111111000000000000
χ2022222-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-2-2111111-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2002-2-211111122-1-1-1-1-1-1000000000000
χ212222-12-1-122-1-122-1-1-1-1-12-1-12222222-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ222222-12-1-122-1-122-1-1-1-1-12-1-12222222-1-122-1-1-1-12222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-211-2-2111111-2-21111000000000000
χ232222-12-1-122-1-122-1-1-1-1-12-1-1222222-211-2-21111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112200-2-1-122-1-1-1-111-2-21111000000000000
χ242222-12-1-122-1-122-1-1-1-1-12-1-1222222-211-2-21111-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200211-2-21111-1-122-1-1-1-1000000000000
χ252222-1-12-122-1-1-1-122-1-1-1-12-12222222-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122002-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ262222-1-12-122-1-1-1-122-1-1-1-12-12222222-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-200-21111-2-2111111-2-211000000000000
χ272222-1-12-122-1-1-1-122-1-1-1-12-1222222-21111-2-211-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-211112200-2-1-1-1-122-1-11111-2-211000000000000
χ282222-1-12-122-1-1-1-122-1-1-1-12-1222222-21111-2-211-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-2-20021111-2-211-1-1-1-122-1-1000000000000
χ292222-1-1-1222-1-1-1-1-1-122-1-1-122222222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222002-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ302222-1-1-1222-1-1-1-1-1-122-1-1-122222222-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-200-2111111-2-2111111-2-2000000000000
χ312222-1-1-1222-1-1-1-1-1-122-1-1-12222222-2111111-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-22200-2-1-1-1-1-1-122111111-2-2000000000000
χ322222-1-1-1222-1-1-1-1-1-122-1-1-12222222-2111111-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-2-2-2002111111-2-2-1-1-1-1-1-122000000000000
χ3322-2-2222222-2-2-2-2-2-2-2-222222-22-2-2-20000000000000222222222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-2000000000000000000000000000000002-20002-22-22-22-200000000000000000000
χ3422-2-2222222-2-2-2-2-2-2-2-222222-22-2-2-20000000000000222222222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-200000000000000000000000000000000-22000-22-22-22-2200000000000000000000
χ3522-2-22-1-1-122-2-21111112-1-1-12-22-2-2-2000i3−i3i3−i3i3−i300002-1-1-12-1-1-12-2-2-111-111-1112-2-2-111-111-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-20002-2-11-11-1100i3−i3i3−i3i3−i3000000000000
χ3622-2-22-1-1-122-2-21111112-1-1-12-22-2-2-2000i3−i3i3−i3i3−i300002-1-1-12-1-1-12-2-2-111-111-1112-2-2-111-111-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-22000-221-11-11-100−i3i3−i3i3−i3i3000000000000
χ3722-2-22-1-1-122-2-21111112-1-1-12-22-2-2-2000−i3i3−i3i3−i3i300002-1-1-12-1-1-12-2-2-111-111-1112-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-20002-2-11-11-1100−i3i3−i3i3−i3i3000000000000
χ3822-2-22-1-1-122-2-21111112-1-1-12-22-2-2-2000−i3i3−i3i3−i3i300002-1-1-12-1-1-12-2-2-111-111-1112-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-22000-221-11-11-100i3−i3i3−i3i3−i3000000000000
χ3922-2-2-12-1-12211-2-21111-12-1-12-22-2-2-20i3−i300i3−i3−i3i30000-12-1-1-12-1-1-1112-2-2-111-111-1112-2-2-111-111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i32-2000-112-2-11-11i3−i300i3−i3−i3i3000000000000
χ4022-2-2-12-1-12211-2-21111-12-1-12-22-2-2-20i3−i300i3−i3−i3i30000-12-1-1-12-1-1-1112-2-2-111-111-1112-2-2-111-111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-220001-1-221-11-1−i3i300−i3i3i3−i3000000000000
χ4122-2-2-12-1-12211-2-21111-12-1-12-22-2-2-20−i3i300−i3i3i3−i30000-12-1-1-12-1-1-1112-2-2-111-111-1112-2-2-111-111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i32-2000-112-2-11-11−i3i300−i3i3i3−i3000000000000
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χ1224-4-444-2-2-2−1−5−1+5-442-22-22-2-42221+5−1−51−5−1+51+51−50000000000000−1−51+521+521+52−1+51−521−521−521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−520000ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13000000000000000000000000000000000
χ1234-4-444-2-2-2−1−5−1+5-442-22-22-2-42221+5−1−51−5−1+51+51−50000000000000−1−51+521+521+52−1+51−521−521−521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−520000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13000000000000000000000000000000000
χ1244-4-44-24-2-2442-2-442-22-22-422-44-44-4-40000000000000-24-2-2-24-2-222-2-4-4422-222-222-2-4-4422-222-200000000000000000000000000000000000000000000000000000000000000000
χ1254-4-44-24-2-2−1+5−1−52-2-442-22-22-4221−5−1+51+5−1−51−51+500000000000001−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ130000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14000000000000000000000000000000000
χ1264-4-44-24-2-2−1+5−1−52-2-442-22-22-4221−5−1+51+5−1−51−51+500000000000001−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ130000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14000000000000000000000000000000000
χ1274-4-44-24-2-2−1−5−1+52-2-442-22-22-4221+5−1−51−5−1+51+51−500000000000001+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ130000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13000000000000000000000000000000000
χ1284-4-44-24-2-2−1−5−1+52-2-442-22-22-4221+5−1−51−5−1+51+51−500000000000001+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ130000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13000000000000000000000000000000000
χ1294-4-44-2-24-2442-22-2-442-222-42-44-44-4-40000000000000-2-24-2-2-24-222-222-2-4-4422-222-222-2-4-4422-200000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-2-24-2−1+5−1−52-22-2-442-222-421−5−1+51+5−1−51−51+500000000000001−521−52−1+51−521+521+52−1−51+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ130000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14000000000000000000000000000000000
χ1314-4-44-2-24-2−1+5−1−52-22-2-442-222-421−5−1+51+5−1−51−51+500000000000001−521−52−1+51−521+521+52−1−51+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ130000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14000000000000000000000000000000000
χ1324-4-44-2-24-2−1−5−1+52-22-2-442-222-421+5−1−51−5−1+51+51−500000000000001+521+52−1−51+521−521−52−1+51−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ130000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13000000000000000000000000000000000
χ1334-4-44-2-24-2−1−5−1+52-22-2-442-222-421+5−1−51−5−1+51+51−500000000000001+521+52−1−51+521−521−52−1+51−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ130000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13000000000000000000000000000000000
χ1344-4-44-2-2-24442-22-22-2-44222-4-44-44-4-40000000000000-2-2-24-2-2-2422-222-222-2-4-4422-222-222-2-4-4400000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-2-2-24−1+5−1−52-22-22-2-44222-41−5−1+51+5−1−51−51+500000000000001−521−521−52−1+51+521+521+52−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ130000ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000000000000000000000000000000000000
χ1364-4-44-2-2-24−1+5−1−52-22-22-2-44222-41−5−1+51+5−1−51−51+500000000000001−521−521−52−1+51+521+521+52−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ130000−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000000000000000000000000000000000000
χ1374-4-44-2-2-24−1−5−1+52-22-22-2-44222-41+5−1−51−5−1+51+51−500000000000001+521+521+52−1−51−521−521−52−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ140000−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ130000000000000000000000000000000000000
χ1384-4-44-2-2-24−1−5−1+52-22-22-2-44222-41+5−1−51−5−1+51+51−500000000000001+521+521+52−1−51−521−521−52−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ140000ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ130000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.