Finite Group Databasebeta

← Group #12132544

Character table — Group #12132544

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222244444444444444444444444444888888888888888888888816161616161616161616161616161616161616162020202020202020404040404040404040404040
order1222222222444455101010101010224444101010101010101010101010202020202020202024101010101010101020202020202020202020202044442020202020202020202020202020202044444444224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ71111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-11-11-1-111-1-1-1-1
χ81111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11111
χ91111111111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ111111111111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ121111111111-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ131111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111
χ141111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1
χ151111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111
χ161111111111-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1
χ1722222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+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
χ1822222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+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
χ1922222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
χ2022222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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
χ2122222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+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
χ2222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+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
χ2322222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ2422222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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
χ252222222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+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+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ262222222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222−1+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+52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ272222222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ282222222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ292222222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ302222222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ312222222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ322222222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ3422222-2-2-2-22222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ3522222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000000000
χ3622222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000000000
χ3722222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000000000
χ3822222-2-2-2-222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000000000
χ3922222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000
χ4022222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000
χ4122222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+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+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000
χ4222222-2-2-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+52−1+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+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000
χ4322222-2-2-2-22-2-2-2-2222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ4422222-2-2-2-22-2-2-2-222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000
χ4522222-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+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+520000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000000000
χ4622222-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+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+520000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000000000
χ4722222-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000000000
χ4822222-2-2-2-22-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000000000
χ4922222-2-2-2-22-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000
χ5022222-2-2-2-22-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000
χ5122222-2-2-2-22-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+521+521−521−521+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+520000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000
χ5222222-2-2-2-22-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-221+521+521−521−521+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+520000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000
χ532222-222-2-2-222-2-222222222002-200-2-2-2-222-2-222-2-222-2-222-2-200000000002-22-200000000000000000000000000000000000020-202-2000000
χ542222-222-2-2-222-2-222222222002-200-2-2-2-222-2-222-2-222-2-222-2-200000000002-22-2000000000000000000000000000000000000-2020-22000000
χ552222-222-2-2-2-2-2222222222200-2200-2-2-2-222-2-222-2-2-2-222-2-2220000000000-22-2200000000000000000000000000000000000020-20-22000000
χ562222-222-2-2-2-2-2222222222200-2200-2-2-2-222-2-222-2-2-2-222-2-2220000000000-22-22000000000000000000000000000000000000-20202-2000000
χ572222-2-2-222-222-2-22222222200-2200-2-2-2-2-2-222-2-22222-2-222-2-20000000000-22-22000000000000000000000000000000000000020-2002-20000
χ582222-2-2-222-222-2-22222222200-2200-2-2-2-2-2-222-2-22222-2-222-2-20000000000-22-220000000000000000000000000000000000000-20200-220000
χ592222-2-2-222-2-2-22222222222002-200-2-2-2-2-2-222-2-222-2-222-2-22200000000002-22-2000000000000000000000000000000000000020-200-220000
χ602222-2-2-222-2-2-22222222222002-200-2-2-2-2-2-222-2-222-2-222-2-22200000000002-22-20000000000000000000000000000000000000-202002-20000
χ6122-2-222-22-2-2000022-2-2-2-2222-2002-22-22-22-22-22-22-200000000002-22-2000000002-22-200000000000000000000000000002i2i−2i−2i00000000002i−2i
χ6222-2-222-22-2-2000022-2-2-2-2222-2002-22-22-22-22-22-22-200000000002-22-2000000002-22-20000000000000000000000000000−2i−2i2i2i0000000000−2i2i
χ6322-2-222-22-2-2000022-2-2-2-222-2200-222-22-22-22-22-22-20000000000-22-2200000000-22-2200000000000000000000000000002i2i−2i−2i0000000000−2i2i
χ6422-2-222-22-2-2000022-2-2-2-222-2200-222-22-22-22-22-22-20000000000-22-2200000000-22-220000000000000000000000000000−2i−2i2i2i00000000002i−2i
χ6522-2-22-22-22-2000022-2-2-2-2222-200-222-22-2-22-22-22-2200000000002-22-200000000-22-220000000000000000000000002i2i−2i−2i0000000000002i−2i00
χ6622-2-22-22-22-2000022-2-2-2-2222-200-222-22-2-22-22-22-2200000000002-22-200000000-22-22000000000000000000000000−2i−2i2i2i000000000000−2i2i00
χ6722-2-22-22-22-2000022-2-2-2-222-22002-22-22-2-22-22-22-220000000000-22-22000000002-22-20000000000000000000000002i2i−2i−2i000000000000−2i2i00
χ6822-2-22-22-22-2000022-2-2-2-222-22002-22-22-2-22-22-22-220000000000-22-22000000002-22-2000000000000000000000000−2i−2i2i2i0000000000002i−2i00
χ694444-444-4-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5004-4001−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+50000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000
χ704444-444-4-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5004-4001+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−50000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000
χ714444-444-4-4-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-44001−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000
χ724444-444-4-4-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-44001+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+500000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000
χ734444-4-4-444-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500-44001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000
χ744444-4-4-444-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500-44001+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000
χ754444-4-4-444-4-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5004-4001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−50000000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000
χ764444-4-4-444-4-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5004-4001+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+50000000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000
χ7744-4-444-44-4-40000−1+5−1−51−51−51+51+5−1+5−1−54-4004-4−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+50000000000−1+51−5−1−51+500000000−1+51−5−1−51+500000000000000000000000000000000000000000000
χ7844-4-444-44-4-40000−1+5−1−51−51−51+51+5−1+5−1−5-4400-44−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+500000000001−5−1+51+5−1−5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000
χ7944-4-444-44-4-40000−1−5−1+51+51+51−51−5−1−5−1+54-4004-4−1−51+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−50000000000−1−51+5−1+51−500000000−1−51+5−1+51−500000000000000000000000000000000000000000000
χ8044-4-444-44-4-40000−1−5−1+51+51+51−51−5−1−5−1+5-4400-44−1−51+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−500000000001+5−1−51−5−1+5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000
χ8144-4-44-44-44-40000−1+5−1−51−51−51+51+5−1+5−1−54-400-44−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−50000000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000
χ8244-4-44-44-44-40000−1+5−1−51−51−51+51+5−1+5−1−5-44004-4−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−500000000001−5−1+51+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000000000
χ8344-4-44-44-44-40000−1−5−1+51+51+51−51−5−1−5−1+54-400-44−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+50000000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000
χ8444-4-44-44-44-40000−1−5−1+51+51+51−51−5−1−5−1+5-44004-4−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+500000000001+5−1−51−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000000000
χ8544-4-4-44-4-444000044-4-4-4-444000000-44-444-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-4-44-4-4440000−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−5000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000000000
χ8744-4-4-44-4-4440000−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−500000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000000000000000
χ8844-4-4-44-4-4440000−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+500000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ8944-4-4-44-4-4440000−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+5000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ9044-4-4-4-444-44000044-4-4-4-444000000-44-44-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-444-440000−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000000000000000
χ9244-4-4-4-444-440000−1+5−1−51−51−51+51+5−1+5−1−50000001−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+500000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000000000
χ9344-4-4-4-444-440000−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−500000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000
χ9444-4-4-4-444-440000−1−5−1+51+51+51−51−5−1−5−1+50000001+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000
χ954-44-4000000004i−4i444-44-4-4-4000000000000000000004i−4i004i−4i0000000000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
χ964-44-4000000004i−4i444-44-4-4-4000000000000000000004i−4i004i−4i000000000000000000000000000000000000000000-22-22−2i2i−2i2i000000000000
χ974-44-400000000−4i4i444-44-4-4-400000000000000000000−4i4i00−4i4i0000000000000000000000000000000000000000002-22-2−2i2i−2i2i000000000000
χ984-44-400000000−4i4i444-44-4-4-400000000000000000000−4i4i00−4i4i000000000000000000000000000000000000000000-22-222i−2i2i−2i000000000000
χ994-4-440000004i−4i0044-44-44-4-40000000000000000004i−4i004i−4i000000000000000000000000000000000000000000002i−2i−2i2i2-2-22000000000000
χ1004-4-440000004i−4i0044-44-44-4-40000000000000000004i−4i004i−4i00000000000000000000000000000000000000000000−2i2i2i−2i-222-2000000000000
χ1014-4-44000000−4i4i0044-44-44-4-4000000000000000000−4i4i00−4i4i000000000000000000000000000000000000000000002i−2i−2i2i-222-2000000000000
χ1024-4-44000000−4i4i0044-44-44-4-4000000000000000000−4i4i00−4i4i00000000000000000000000000000000000000000000−2i2i2i−2i2-2-22000000000000
χ1038-88-8000000008i−8i−2+25−2−25−2+252−25−2−252+252−252+2500000000000000000000−4ζ11−4ζ194ζ11+4ζ1900−4ζ3−4ζ74ζ3+4ζ700000000000000000000000000000000000000000000000000000000000000
χ1048-88-8000000008i−8i−2−25−2+25−2−252+25−2+252−252+252−2500000000000000000000−4ζ3−4ζ74ζ3+4ζ700−4ζ11−4ζ194ζ11+4ζ1900000000000000000000000000000000000000000000000000000000000000
χ1058-88-800000000−8i8i−2+25−2−25−2+252−25−2−252+252−252+25000000000000000000004ζ11+4ζ19−4ζ11−4ζ19004ζ3+4ζ7−4ζ3−4ζ700000000000000000000000000000000000000000000000000000000000000
χ1068-88-800000000−8i8i−2−25−2+25−2−252+25−2+252−252+252−25000000000000000000004ζ3+4ζ7−4ζ3−4ζ7004ζ11+4ζ19−4ζ11−4ζ1900000000000000000000000000000000000000000000000000000000000000
χ1078-8-880000008i−8i00−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000−4ζ11−4ζ194ζ11+4ζ1900−4ζ3−4ζ74ζ3+4ζ70000000000000000000000000000000000000000000000000000000000000000
χ1088-8-880000008i−8i00−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000−4ζ3−4ζ74ζ3+4ζ700−4ζ11−4ζ194ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88000000−8i8i00−2+25−2−252−25−2+252+25−2−252−252+250000000000000000004ζ11+4ζ19−4ζ11−4ζ19004ζ3+4ζ7−4ζ3−4ζ70000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88000000−8i8i00−2−25−2+252+25−2−252−25−2+252+252−250000000000000000004ζ3+4ζ7−4ζ3−4ζ7004ζ11+4ζ19−4ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.