Finite Group Databasebeta

← Group #13087484

Character table — Group #13087484

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222266662222444444444412121212222244444444441212121222224444444444121212122222444444444412121212222244444444441212121222224444444444121212122222444444444412121212151515153030303030303030303090909090
order12223446661212121222443666312126661212121266121251010101520203030306060606010102020510101015202030303060606060101020201530303015606030303060606060303060601530303015606030303060606060303060601530303015606030303060606060303060601530303015606030303060606060303060602222644666121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1
χ411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ511-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i
χ611-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii
χ711-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii
χ811-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i
χ92222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000
χ102222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000
χ1122-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000
χ1222-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000
χ132-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000
χ142-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000
χ152-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000
χ162-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000
χ172-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000
χ182-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111
χ2211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1
χ2311-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i11-1-11i−i1-1-1ii−i−i1-1i−i-1-111-1−ii-111−i−iii-11−ii
χ2411-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii11-1-11i−i1-1-1ii−i−i-11−ii-1-111-1−ii-111−i−iii1-1i−i
χ2511-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii11-1-11−ii1-1-1−i−iii1-1−ii-1-111-1i−i-111ii−i−i-11i−i
χ2611-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i11-1-11−ii1-1-1−i−iii-11i−i-1-111-1i−i-111ii−i−i1-1−ii
χ272222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000
χ282222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000
χ2922-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii000022-2-2-12i−2i-111−i−iii0000-2-2221−2i2i1-1-1ii−i−i0000
χ3022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i000022-2-2-1−2i2i-111ii−i−i0000-2-22212i−2i1-1-1−i−iii0000
χ312-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-22000000002-22-2200-2-2200000000-22-22-20022-200000000
χ322-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i300002-22-2-10011-1−i3i3−i3i30000-22-22100-1-11i3−i3i3−i30000
χ332-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i300002-22-2-10011-1i3−i3i3−i30000-22-22100-1-11−i3i3−i3i30000
χ342-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-2000000002-2-22200-22-200000000-222-2-2002-2200000000
χ352-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−3300002-2-22-1001-113−3−330000-222-2100-11-1−333−30000
χ362-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−300002-2-22-1001-11−333−30000-222-2100-11-13−3−330000
χ37222222222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000
χ3822222222222222-2-2-2-222222222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52000000000000000000
χ3922222-2-2222-2-2-2-222-2-222222-2-2222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52000000000000000000
χ4022222-2-2222-2-2-2-2-2-22222222-2-2222-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52000000000000000000
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χ1534444-244-2-2-2-2-2-2-20000-2-2-2-21-2-211111110000−1−5−1−5−1−5−1−51+52−1−5−1−51+521+521+521+521+521+521+520000−1+5−1+5−1+5−1+51−52−1+5−1+51−521−521−521−521−521−521−520000−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34ζ26+ζ34−2ζ26−2ζ34−2ζ26−2ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ340000−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46ζ14+ζ46−2ζ14−2ζ46−2ζ14−2ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ460000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38ζ22+ζ38−2ζ22−2ζ38−2ζ22−2ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ380000−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58ζ2+ζ58−2ζ2−2ζ58−2ζ2−2ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ580000000000000000000000
χ1544444-2-4-4-2-2-222220000-2-2-2-2122111-1-1-1-10000−1−5−1−5−1−5−1−51+521+51+51+521+521+52−1−52−1−52−1−52−1−520000−1+5−1+5−1+5−1+51−521−51−51−521−521−52−1+52−1+52−1+52−1+520000−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34−2ζ26−2ζ34ζ26+ζ342ζ26+2ζ342ζ26+2ζ34ζ26+ζ34ζ26+ζ34ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ34−ζ26−ζ340000−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ14−2ζ46ζ14+ζ462ζ14+2ζ462ζ14+2ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ460000−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38ζ22+ζ382ζ22+2ζ382ζ22+2ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ380000−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58−2ζ2−2ζ58ζ2+ζ582ζ2+2ζ582ζ2+2ζ58ζ2+ζ58ζ2+ζ58ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ58−ζ2−ζ580000000000000000000000
χ15544-4-4-24i−4i-222−2i−2i2i2i0000-2-2221−2i2i1-1-1ii−i−i0000−1−5−1−51+51+51+52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591+52−1−52−1−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000−1+5−1+51−51−51−52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471−52−1+52−1+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34ζ26+ζ342ζ11+2ζ19−2ζ11−2ζ19ζ26+ζ34−ζ26−ζ34−ζ26−ζ34−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ190000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46ζ14+ζ462ζ31+2ζ59−2ζ31−2ζ59ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ31−ζ59−ζ31−ζ59ζ31+ζ59ζ31+ζ590000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38ζ22+ζ382ζ7+2ζ23−2ζ7−2ζ23ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ230000−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58ζ2+ζ582ζ43+2ζ47−2ζ43−2ζ47ζ2+ζ58−ζ2−ζ58−ζ2−ζ58−ζ43−ζ47−ζ43−ζ47ζ43+ζ47ζ43+ζ470000000000000000000000
χ15644-4-4-2−4i4i-2222i2i−2i−2i0000-2-22212i−2i1-1-1−i−iii0000−1−5−1−51+51+51+522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591+52−1−52−1−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000−1+5−1+51−51−51−522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471−52−1+52−1+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000−2ζ26−2ζ34−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34ζ26+ζ34−2ζ11−2ζ192ζ11+2ζ19ζ26+ζ34−ζ26−ζ34−ζ26−ζ34ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ190000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46ζ14+ζ46−2ζ31−2ζ592ζ31+2ζ59ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ31+ζ59ζ31+ζ59−ζ31−ζ59−ζ31−ζ590000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38ζ22+ζ38−2ζ7−2ζ232ζ7+2ζ23ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000−2ζ2−2ζ58−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58ζ2+ζ58−2ζ43−2ζ472ζ43+2ζ47ζ2+ζ58−ζ2−ζ58−ζ2−ζ58ζ43+ζ47ζ43+ζ47−ζ43−ζ47−ζ43−ζ470000000000000000000000
χ1574-44-4400-4-4400000000-22-22-20022-200000000−1−51+5−1−51+5−1−5001+51+5−1−500000000−1+51−5−1+51−5−1+5001−51−5−1+500000000−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ34002ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ3400000000−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46002ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ4600000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ58002ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ5800000000000000000000000000
χ1584-44-4-20022-2−2i32i3−2i32i30000-22-22100-1-11i3−i3i3−i30000−1−51+5−1−51+51+5200−1−52−1−521+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−1+51−5−1+51−51−5200−1+52−1+521−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34ζ26+ζ3400−ζ26−ζ34−ζ26−ζ34ζ26+ζ34−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ46−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ460000−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46ζ14+ζ4600−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ460000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38ζ22+ζ3800−ζ22−ζ38−ζ22−ζ38ζ22+ζ38−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ58−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ580000−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58ζ2+ζ5800−ζ2−ζ58−ζ2−ζ58ζ2+ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ580000000000000000000000
χ1594-44-4-20022-22i3−2i32i3−2i30000-22-22100-1-11−i3i3−i3i30000−1−51+5−1−51+51+5200−1−52−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000−1+51−5−1+51−51−5200−1+52−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000−2ζ26−2ζ342ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ34ζ26+ζ3400−ζ26−ζ34−ζ26−ζ34ζ26+ζ342ζ14−ζ26+ζ34−2ζ46−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ46−2ζ14+ζ26−ζ34+2ζ460000−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46ζ14+ζ4600−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ14+2ζ26−2ζ34+ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ46ζ14−2ζ26+2ζ34−ζ460000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38ζ22+ζ3800−ζ22−ζ38−ζ22−ζ38ζ22+ζ382ζ2+ζ22−ζ38−2ζ58−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ58−2ζ2−ζ22+ζ38+2ζ580000−2ζ2−2ζ582ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ58ζ2+ζ5800−ζ2−ζ58−ζ2−ζ58ζ2+ζ58−ζ2−2ζ22+2ζ38+ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ58ζ2+2ζ22−2ζ38−ζ580000000000000000000000
χ1604-4-44400-44-400000000-222-2-2002-2200000000−1−51+51+5−1−5−1−5001+5−1−51+500000000−1+51−51−5−1+5−1+5001−5−1+51−500000000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34−2ζ26−2ζ34002ζ26+2ζ34−2ζ26−2ζ342ζ26+2ζ3400000000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46002ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ4600000000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58−2ζ2−2ζ58002ζ2+2ζ58−2ζ2−2ζ582ζ2+2ζ5800000000000000000000000000
χ1614-4-44-2002-2223−23−23230000-222-2100-11-1−333−30000−1−51+51+5−1−51+5200−1−521+52−1−52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−1+51−51−5−1+51−5200−1+521−52−1+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34ζ26+ζ3400−ζ26−ζ34ζ26+ζ34−ζ26−ζ34−ζ11+ζ19−2ζ31+2ζ59ζ11−ζ19+2ζ31−2ζ59ζ11−ζ19+2ζ31−2ζ59−ζ11+ζ19−2ζ31+2ζ590000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46ζ14+ζ4600−ζ14−ζ46ζ14+ζ46−ζ14−ζ462ζ11−2ζ19+ζ31−ζ59−2ζ11+2ζ19−ζ31+ζ59−2ζ11+2ζ19−ζ31+ζ592ζ11−2ζ19+ζ31−ζ590000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38ζ22+ζ3800−ζ22−ζ38ζ22+ζ38−ζ22−ζ38ζ7−ζ23−2ζ43+2ζ47−ζ7+ζ23+2ζ43−2ζ47−ζ7+ζ23+2ζ43−2ζ47ζ7−ζ23−2ζ43+2ζ470000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58ζ2+ζ5800−ζ2−ζ58ζ2+ζ58−ζ2−ζ58−2ζ7+2ζ23+ζ43−ζ472ζ7−2ζ23−ζ43+ζ472ζ7−2ζ23−ζ43+ζ47−2ζ7+2ζ23+ζ43−ζ470000000000000000000000
χ1624-4-44-2002-22−232323−230000-222-2100-11-13−3−330000−1−51+51+5−1−51+5200−1−521+52−1−52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−1+51−51−5−1+51−5200−1+521−52−1+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2ζ26−2ζ342ζ26+2ζ342ζ26+2ζ34−2ζ26−2ζ34ζ26+ζ3400−ζ26−ζ34ζ26+ζ34−ζ26−ζ34ζ11−ζ19+2ζ31−2ζ59−ζ11+ζ19−2ζ31+2ζ59−ζ11+ζ19−2ζ31+2ζ59ζ11−ζ19+2ζ31−2ζ590000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46ζ14+ζ4600−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−2ζ11+2ζ19−ζ31+ζ592ζ11−2ζ19+ζ31−ζ592ζ11−2ζ19+ζ31−ζ59−2ζ11+2ζ19−ζ31+ζ590000−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38ζ22+ζ3800−ζ22−ζ38ζ22+ζ38−ζ22−ζ38−ζ7+ζ23+2ζ43−2ζ47ζ7−ζ23−2ζ43+2ζ47ζ7−ζ23−2ζ43+2ζ47−ζ7+ζ23+2ζ43−2ζ470000−2ζ2−2ζ582ζ2+2ζ582ζ2+2ζ58−2ζ2−2ζ58ζ2+ζ5800−ζ2−ζ58ζ2+ζ58−ζ2−ζ582ζ7−2ζ23−ζ43+ζ47−2ζ7+2ζ23+ζ43−ζ47−2ζ7+2ζ23+ζ43−ζ472ζ7−2ζ23−ζ43+ζ470000000000000000000000

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