Finite Group Databasebeta

← Group #12154579

Character table — Group #12154579

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222222444444444444444444444448888888888888888888888888888161616161616161616161616161616161616202020204040404040404040404040404040
order1222222222445510101010101044410101010101010101010101020202020202020202244444420202020202020202020202020202020202020204410101010202020202020202020202020224422222244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ61111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111
χ91111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-111111-111-1-1-1-11-111-1-1
χ101111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-111
χ111111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-1111111111-1-1-111-1-11-1-1-111
χ121111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1111-1-1
χ131111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111-11-1-111-1-1-1111-1-1
χ141111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11-111-1-1111-1-1-111
χ151111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11111-1111-1-1-1-1-11-1-111
χ161111111111-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-111-1-1
χ17222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ18222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+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+5222−1−52−1+52−1−52−1+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
χ22222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ23222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52000000000000000000
χ24222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ252222222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22-222-2-21−521−521+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+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ262222222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22-2-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ272222222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-22-2222-2-21−521−521+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ282222222222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-22-22-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ292222222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-22-222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ302222222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-22-2-2-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ312222222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22-2222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ322222222222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-22-22-2-2221+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3322222-2-22-2-222222222222-2-22-2-22-2-2-2-2-2-22222-2-222-2-2000000002-22-2000000000000000000000000000000000022-2-2000000-22000000
χ3422222-2-22-2-222222222222-2-22-2-22-2-2-2-2-2-22222-2-222-2-2000000002-22-20000000000000000000000000000000000-2-2220000002-2000000
χ3522222-2-22-2-2-2-222222222-2222-2-22-2-2-2-2-2-222-2-222-2-22200000000-22-22000000000000000000000000000000000022-2-20000002-2000000
χ3622222-2-22-2-2-2-222222222-2222-2-22-2-2-2-2-2-222-2-222-2-22200000000-22-220000000000000000000000000000000000-2-222000000-22000000
χ372222-222-2-2-22222222222-22-2-2-2-2-2-2-22222-2-22222222200000000-2-2-2-20000000000000000000000000000000000000022000000-2-20000
χ382222-222-2-2-22222222222-22-2-2-2-2-2-2-22222-2-22222222200000000-2-2-2-200000000000000000000000000000000000000-2-2000000220000
χ392222-222-2-2-2-2-2222222222-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000002-2000000-220000
χ402222-222-2-2-2-2-2222222222-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000000000-220000002-20000
χ412222-2-2-2-2222222222222-2-22-222-222-2-2-2-2-2-222-2-222-2-222-2-20000-22-220000000000000000002222-2-2-2-200000000000000000000000000
χ422222-2-2-2-2222222222222-2-22-222-222-2-2-2-2-2-222-2-222-2-2-2-2220000-22-22000000000000000000-2-2-2-2222200000000000000000000000000
χ432222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+5222-2-200001−52−1+521+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−1+52−1−52−1+52−1−521−521+521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000000000
χ442222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+5222-2-200001−52−1+521+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+52−1−52−1+52−1−521−521+521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000000000
χ452222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52-2-22200001−52−1+521+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000000000
χ462222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-221−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+52-2-22200001−52−1+521+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7001−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000000000
χ472222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−5222-2-200001+52−1−521−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900−1−52−1+52−1−52−1+521+521−521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000000000000
χ482222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−5222-2-200001+52−1−521−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900−1−52−1+52−1−52−1+521+521−521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000000000000
χ492222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52-2-22200001+52−1−521−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19001+521−521+521−52−1−52−1+52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000000000000
χ502222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-221+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−52-2-22200001+52−1−521−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19001+521−521+521−52−1−52−1+52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000000000000
χ512222-2-2-2-222-2-22222222222-2-222-222-2-2-2-2-2-2-2-222-2-2222-2-2200002-22-200000000000000000022-2-2-2-22200000000000000000000000000
χ522222-2-2-2-222-2-22222222222-2-222-222-2-2-2-2-2-2-2-222-2-222-222-200002-22-2000000000000000000-2-22222-2-200000000000000000000000000
χ532222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−522-2-220000−1+521−52−1−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+52−1−521−521+521−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000000000
χ542222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−522-2-220000−1+521−52−1−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−1+52−1−521−521+521−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000000000
χ552222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52-222-20000−1+521−52−1−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7001−521+52−1+52−1−52−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000000000
χ562222-2-2-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−52−1+52−1+521+52−1−52−1−521−521−521+521+521−521+521−521−52−1+52−1+521+521+52−1−52−1−52-222-20000−1+521−52−1−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001−521+52−1+52−1−52−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000000000
χ572222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+522-2-220000−1−521+52−1+521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900−1−52−1+521+521−521+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000000000000
χ582222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+522-2-220000−1−521+52−1+521−52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900−1−52−1+521+521−521+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000000000000
χ592222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+52-222-20000−1−521+52−1+521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19001+521−52−1−52−1+52−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000000000000000000
χ602222-2-2-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+52−1−52−1−521−52−1+52−1+521+521+521−521−521+521−521+521+52−1−52−1−521−521−52−1+52−1+52-222-20000−1−521+52−1+521−52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19001+521−52−1−52−1+52−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000000000000000000
χ612-2-22-22-222-20022-2-22-22-2000-22-2-22-22-22-222000000000000002-20000000000002-22-22-22-20000000000000000002-22-20000000000002-2
χ622-2-22-22-222-20022-2-22-22-2000-22-2-22-22-22-222000000000000002-20000000000002-22-22-22-2000000000000000000-22-22000000000000-22
χ632-2-22-22-222-20022-2-22-22-2000-22-2-22-22-22-22200000000000000-22000000000000-22-22-22-220000000000000000002-22-2000000000000-22
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χ652-2-22-2-222-220022-2-22-22-2000-2-22-2-22-22-22220000000000002-20000002-22-22-22-2000000000000000000000000002-2-2200000000002-200
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χ672-2-22-2-222-220022-2-22-22-2000-2-22-2-22-22-2222000000000000-22000000-22-22-22-22000000000000000000000000002-2-220000000000-2200
χ682-2-22-2-222-220022-2-22-22-2000-2-22-2-22-22-2222000000000000-22000000-22-22-22-2200000000000000000000000000-222-200000000002-200
χ6944444-4-44-4-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-4-4−1+51−51−5−1−51+51+51−51−51+51+5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000
χ7044444-4-44-4-444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-4-4−1−51+51+5−1+51−51−51+51+51−51−5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ7144444-4-44-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-444−1+51−51−5−1−51+51+51−51−51+51+5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ7244444-4-44-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-444−1−51+51+5−1+51−51−51+51+51−51−5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ734444-444-4-4-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-44-41−51−51−51+51+51+5−1+5−1+5−1−5−1−51−51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5000000001−51−51+51+50000000000000000000000000000000000000000000000000000
χ744444-444-4-4-444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-44-41+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5000000001+51+51−51−50000000000000000000000000000000000000000000000000000
χ754444-444-4-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-441−51−51−51+51+51+5−1+5−1+5−1−5−1−51−51+51−51−51−51−51+51+51+51+500000000−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000
χ764444-444-4-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-441+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−51+51+51+51+51−51−51−51−500000000−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000
χ774-44-40000004-444-4-4-44-440000000000000004-4004-40000000000000000000000000000000000000000000000000000002-22-200000000
χ784-44-40000004-444-4-4-44-440000000000000004-4004-4000000000000000000000000000000000000000000000000000000-22-2200000000
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χ814-4-4444-4-4-440044-4-44-44-40004-444-444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ824-4-4444-4-4-4400−1+5−1−51−51+5−1+51−5−1−51+5000−1+51−5−1+5−1−51+5−1−5−1+51−5−1−51+51−51+500000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000000
χ834-4-4444-4-4-4400−1+5−1−51−51+5−1+51−5−1−51+5000−1+51−5−1+5−1−51+5−1−5−1+51−5−1−51+51−51+5000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000000
χ844-4-4444-4-4-4400−1−5−1+51+51−5−1−51+5−1+51−5000−1−51+5−1−5−1+51−5−1+5−1−51+5−1+51−51+51−5000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000000
χ854-4-4444-4-4-4400−1−5−1+51+51−5−1−51+5−1+51−5000−1−51+5−1−5−1+51−5−1+5−1−51+5−1+51−51+51−500000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000000
χ864-4-444-44-44-40044-4-44-44-400044-444-4-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-44-44-400−1+5−1−51−51+5−1+51−5−1−51+5000−1+5−1+51−5−1−5−1−51+51−5−1+51+5−1−51−51+50000000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000
χ884-4-444-44-44-400−1+5−1−51−51+5−1+51−5−1−51+5000−1+5−1+51−5−1−5−1−51+51−5−1+51+5−1−51−51+500000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000
χ894-4-444-44-44-400−1−5−1+51+51−5−1−51+5−1+51−5000−1−5−1−51+5−1+5−1+51−51+5−1−51−5−1+51+51−500000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000
χ904-4-444-44-44-400−1−5−1+51+51−5−1−51+5−1+51−5000−1−5−1−51+5−1+5−1+51−51+5−1−51−5−1+51+51−50000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000
χ914-4-44-44-444-400−1+5−1−51−51+5−1+51−5−1−51+50001−5−1+51−51+5−1−51+5−1+51−5−1−51+5−1+5−1−5000000000000004-4000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000
χ924-4-44-44-444-400−1+5−1−51−51+5−1+51−5−1−51+50001−5−1+51−51+5−1−51+5−1+51−5−1−51+5−1+5−1−500000000000000-440000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000
χ934-4-44-44-444-400−1−5−1+51+51−5−1−51+5−1+51−50001+5−1−51+51−5−1+51−5−1−51+5−1+51−5−1−5−1+5000000000000004-4000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000
χ944-4-44-44-444-400−1−5−1+51+51−5−1−51+5−1+51−50001+5−1−51+51−5−1+51−5−1−51+5−1+51−5−1−5−1+500000000000000-440000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000
χ954-4-44-4-444-4400−1+5−1−51−51+5−1+51−5−1−51+50001−51−5−1+51+51+5−1−51−5−1+51+5−1−5−1+5−1−50000000000004-4000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ964-4-44-4-444-4400−1+5−1−51−51+5−1+51−5−1−51+50001−51−5−1+51+51+5−1−51−5−1+51+5−1−5−1+5−1−5000000000000-440000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ974-4-44-4-444-4400−1−5−1+51+51−5−1−51+5−1+51−50001+51+5−1−51−51−5−1+51+5−1−51−5−1+5−1−5−1+50000000000004-4000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ984-4-44-4-444-4400−1−5−1+51+51−5−1−51+5−1+51−50001+51+5−1−51−51−5−1+51+5−1−51−5−1+5−1−5−1+5000000000000-440000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ9988-8-8000000008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800000000−2+25−2−25−2+25−2−252−252−252+252+2500000000000000000−4ζ11+4ζ194ζ11−4ζ19004ζ3−4ζ7−4ζ3+4ζ70000000000000000000000000000000000000000000000000000000000000000
χ10188-8-800000000−2+25−2−25−2+25−2−252−252−252+252+25000000000000000004ζ11−4ζ19−4ζ11+4ζ1900−4ζ3+4ζ74ζ3−4ζ70000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800000000−2−25−2+25−2−25−2+252+252+252−252−25000000000000000004ζ3−4ζ7−4ζ3+4ζ7004ζ11−4ζ19−4ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000
χ10388-8-800000000−2−25−2+25−2−25−2+252+252+252−252−2500000000000000000−4ζ3+4ζ74ζ3−4ζ700−4ζ11+4ζ194ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000
χ1048-88-80000008-8−2+25−2−252−252+252−25−2+252+25−2−25000000000000000−2+252−2500−2−252+25000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-80000008-8−2−25−2+252+252−252+25−2−252−25−2+25000000000000000−2−252+2500−2+252−25000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8000000-88−2+25−2−252−252+252−25−2+252+25−2−250000000000000002−25−2+25002+25−2−25000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8000000-88−2−25−2+252+252−252+25−2−252−25−2+250000000000000002+25−2−25002−25−2+25000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1).