Finite Group Databasebeta

← Group #13087048

Character table — Group #13087048

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444441818181818181818181818181818181818181818202020202020202020202020202020202020180180
order122222333355666666666666101010101010101010101010101066666666151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030304444202020202020202020202020202020202466666666121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-1
χ61111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11
χ71111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-11
χ81111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1111111111-1
χ92222222222−1−52−1+52222222222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+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+5200000000000000000000
χ102222222222−1−52−1+52222222222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000
χ112222222222−1+52−1−52222222222222−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ122222222222−1+52−1−52222222222222−1+52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000
χ132222222-1-1-12222-1-1-1-1-1-12-1-1-12222222222222222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-122-1-1-1-1-1-100
χ142222222-1-1-12222-1-1-1-1-1-12-1-1-12222222222222222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111111-2-211111100
χ15222222-12-1-122-1-122-1-1-1-1-12-1-122222222222222-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000022-1-122-1-1-1-1-1-122-1-1-1-100
χ16222222-12-1-122-1-122-1-1-1-1-12-1-122222222222222-1-122-1-1-1-1-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-2-211-2-2111111-2-2111100
χ17222222-1-12-122-1-1-1-122-1-1-1-12-122222222222222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000022-1-1-1-122-1-1-1-1-1-122-1-100
χ18222222-1-12-122-1-1-1-122-1-1-1-12-122222222222222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000000000000000-2-21111-2-2111111-2-21100
χ19222222-1-1-1222-1-1-1-1-1-122-1-1-1222222222222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000000022-1-1-1-1-1-122-1-1-1-1-1-12200
χ20222222-1-1-1222-1-1-1-1-1-122-1-1-1222222222222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000000-2-2111111-2-2111111-2-200
χ212222-2-22222−1−52−1+52222222222222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000000
χ222222-2-22222−1−52−1+52222222222222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000
χ232222-2-22222−1+52−1−52222222222222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+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+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+5200000000000000000000
χ242222-2-22222−1+52−1−52222222222222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+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+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ252222-2-22-1-1-12222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2-2-2-222-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000002-222-1-1-1-1-1-1-2-211111100
χ262222-2-22-1-1-12222-1-1-1-1-1-12-1-1-12222-2-2-2-2-2-2-2-222-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-22-2-211111122-1-1-1-1-1-100
χ272222-2-2-12-1-122-1-122-1-1-1-1-12-1-12222-2-2-2-2-2-2-2-22211-2-21111-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000002-2-1-122-1-1-1-111-2-2111100
χ282222-2-2-12-1-122-1-122-1-1-1-1-12-1-12222-2-2-2-2-2-2-2-22211-2-21111-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000000000-2211-2-21111-1-122-1-1-1-100
χ292222-2-2-1-12-122-1-1-1-122-1-1-1-12-12222-2-2-2-2-2-2-2-2221111-2-211-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000002-2-1-1-1-122-1-11111-2-21100
χ302222-2-2-1-12-122-1-1-1-122-1-1-1-12-12222-2-2-2-2-2-2-2-2221111-2-211-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-2111100000000000000000000-221111-2-211-1-1-1-122-1-100
χ312222-2-2-1-1-1222-1-1-1-1-1-122-1-1-122222-2-2-2-2-2-2-2-222111111-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000002-2-1-1-1-1-1-122111111-2-200
χ322222-2-2-1-1-1222-1-1-1-1-1-122-1-1-122222-2-2-2-2-2-2-2-222111111-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-200000000000000000000-22111111-2-2-1-1-1-1-1-12200
χ3322-2-2002222222-22-22-22-2-2-2-2-22-22-200000000-2-200000000222222222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-200000000000000000000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
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χ1294-44-400-2-24-2−1+5−1−52-22-2-442-222-421−51−51+51+5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1−5000000001−521−52−1+51−521+521+52−1−51+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−1+521−52−1+52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−1−521+52−1−52ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000000000000000000000000000000000
χ1304-44-400-2-2-24442-22-22-2-44222-4-4-4-4-4000000004400000000-2-2-24-2-2-242-222-222-22-44-42-222-222-22-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-400-2-2-24−1−5−1+52-22-22-2-44222-41+51+51−51−5−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−5−1+5000000001+521+521+52−1−51−521−521−52−1+5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000000000000000000000000000000000
χ1324-44-400-2-2-24−1−5−1+52-22-22-2-44222-41+51+51−51−52ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−5−1+5000000001+521+521+52−1−51−521−521−52−1+5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000000000000000000000000000000000
χ1334-44-400-2-2-24−1+5−1−52-22-22-2-44222-41−51−51+51+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−5000000001−521−521−52−1+51+521+521+52−1−5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000000000000000000000000000000000
χ1344-44-400-2-2-24−1+5−1−52-22-22-2-44222-41−51−51+51+5−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+5−1−5000000001−521−521−52−1+51+521+521+52−1−5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000
χ1354-4-444-44-2-2-2−1−5−1+5-4-42222224-2-2-21+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−54-4-22-22-22−1−51+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+521−52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−520000000000000000000000000000000000000000
χ1364-4-444-44-2-2-2−1+5−1−5-4-42222224-2-2-21−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+54-4-22-22-22−1+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+52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+520000000000000000000000000000000000000000
χ1374-4-444-4-24-2-2−1−5−1+522-4-42222-24-2-21+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−5-224-4-22-221+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+521−521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−520000000000000000000000000000000000000000
χ1384-4-444-4-24-2-2−1+5−1−522-4-42222-24-2-21−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+5-224-4-22-221−52−1+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+521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+520000000000000000000000000000000000000000
χ1394-4-444-4-2-24-2−1−5−1+52222-4-422-2-24-21+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−5-22-224-4-221+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+521−521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−520000000000000000000000000000000000000000
χ1404-4-444-4-2-24-2−1+5−1−52222-4-422-2-24-21−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+5-22-224-4-221−521−52−1+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+521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+520000000000000000000000000000000000000000
χ1414-4-444-4-2-2-24−1−5−1+5222222-4-4-2-2-241+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−5-22-22-224-41+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+51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+50000000000000000000000000000000000000000
χ1424-4-444-4-2-2-24−1+5−1−5222222-4-4-2-2-241−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+5-22-22-224-41−521−521−52−1+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+5−1−51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−50000000000000000000000000000000000000000
χ1434-4-44-444-2-2-2−1−5−1+5-4-42222224-2-2-21+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−5-442-22-22-2−1−51+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+521−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+520000000000000000000000000000000000000000
χ1444-4-44-444-2-2-2−1+5−1−5-4-42222224-2-2-21−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+5-442-22-22-2−1+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+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−520000000000000000000000000000000000000000
χ1454-4-44-44-24-2-2−1−5−1+522-4-42222-24-2-21+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−52-2-442-22-21+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+521−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+520000000000000000000000000000000000000000
χ1464-4-44-44-24-2-2−1+5−1−522-4-42222-24-2-21−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+52-2-442-22-21−52−1+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+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−520000000000000000000000000000000000000000
χ1474-4-44-44-2-24-2−1−5−1+52222-4-422-2-24-21+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−52-22-2-442-21+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+521−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+520000000000000000000000000000000000000000
χ1484-4-44-44-2-24-2−1+5−1−52222-4-422-2-24-21−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+52-22-2-442-21−521−52−1+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+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−520000000000000000000000000000000000000000
χ1494-4-44-44-2-2-24−1−5−1+5222222-4-4-2-2-241+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−52-22-22-2-441+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+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−50000000000000000000000000000000000000000
χ1504-4-44-44-2-2-24−1+5−1−5222222-4-4-2-2-241−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+52-22-22-2-441−521−521−52−1+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+5−1−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+50000000000000000000000000000000000000000

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