Finite Group Databasebeta

← Group #12136677

Character table — Group #12136677

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size111122222222222222444444444444444488888888888888888888888888888888888888888810101616161616161616161616161620202040404040404040404040404080
order1222222222551010101010102244101010101010101010101010444444444410101010202020202020202020202020202020202020202020202020202020204442020202020202020202020204442224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111
χ51111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11
χ61111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1
χ71111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111111-1-1-1-11-1-11111-1
χ81111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-11
χ9111111111111111111-1-1-1-11111111111111-11-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1111-11-111-11-111-1-1-1
χ10111111111111111111-1-1-1-11111111111111-11-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-11-11-1-1111
χ11111111111111111111-1-1-1-11111111111111-11-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111111-11-1-1-1-11-1-1-1111
χ12111111111111111111-1-1-1-11111111111111-11-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-11-11111-1111-1-1-1
χ13111111111111111111-1-1-1-1111111111111-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111111-1-1111-1-11-1-111-1
χ14111111111111111111-1-1-1-1111111111111-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-111-1-11
χ15111111111111111111-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1-11-1-1-1-1111-1-11
χ16111111111111111111-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-11111-1-1-111-1
χ172222222222−1+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+52−1−52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1−52−1−52−1−522222-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521+521+521+521+5200-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+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+52−1−52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+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+52−1−52−1−52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-22-22222-2-21−521−521+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+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-22-2-2-2-2-2221−521−521+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+521−521−521+521+521−521−521−521−521+521+521+521+52002−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2222-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-22-2-222-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ252222222222−1−52−1+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+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+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+522222-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−5200-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+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+52-2-2-2-222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+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+52-2-2-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-22222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-2-2-2-2-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−521+521+521+521+521−521−521−521−52002−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2222-2-2221+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+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-22-2-222-2-21+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+521+521+521−521−521+521+521+521+521−521−521−521−52002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ3322222-2-2-22-22222222200002-2-22-2-22-2-22-2-2020-200000000000000000022-2-222-2-20000000000002200000000000002-2-20020000-200000
χ3422222-2-2-22-22222222200002-2-22-2-22-2-22-2-2020-200000000000000000022-2-222-2-2000000000000-2-20000000000000-22200-20000200000
χ3522222-2-2-22-22222222200002-2-22-2-22-2-22-2-20-202000000000000000000-2-222-2-2220000000000002200000000000002-2-200-20000200000
χ3622222-2-2-22-22222222200002-2-22-2-22-2-22-2-20-202000000000000000000-2-222-2-222000000000000-2-20000000000000-2220020000-200000
χ372222-22-2-2-22222222220000-22-2-22-2-22-2-22-220-20000000000022-2-222-2-200000000000000000000220000000000000-22-2020000-2000000
χ382222-22-2-2-22222222220000-22-2-22-2-22-2-22-220-20000000000022-2-222-2-200000000000000000000-2-200000000000002-220-200002000000
χ392222-22-2-2-22222222220000-22-2-22-2-22-2-22-2-20200000000000-2-222-2-22200000000000000000000220000000000000-22-20-200002000000
χ402222-22-2-2-22222222220000-22-2-22-2-22-2-22-2-20200000000000-2-222-2-22200000000000000000000-2-200000000000002-22020000-2000000
χ412222-2-222-2-22222222222-2-2-2-22-2-22-2-22-2-22000000000022220000000000000000-2-2-2-200000000220000000000000-2-22-2000020000000
χ422222-2-222-2-22222222222-2-2-2-22-2-22-2-22-2-22000000000022220000000000000000-2-2-2-200000000-2-2000000000000022-220000-20000000
χ432222-2-222-2-222222222-2-222-2-22-2-22-2-22-2-220000000000-2-2-2-20000000000000000222200000000220000000000000-2-2220000-20000000
χ442222-2-222-2-222222222-2-222-2-22-2-22-2-22-2-220000000000-2-2-2-20000000000000000222200000000-2-2000000000000022-2-2000020000000
χ452-2-22222-2-2-222-2-2-2-2222-22-222-222-2-2-22-2-220000002i−2i2i−2i2-22-200000000000000002-22-20000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ462-2-22222-2-2-222-2-2-2-2222-22-222-222-2-2-22-2-22000000−2i2i−2i2i2-22-200000000000000002-22-2000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ472-2-22222-2-2-222-2-2-2-222-22-2222-222-2-2-22-2-220000002i−2i−2i2i-22-220000000000000000-22-220000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ482-2-22222-2-2-222-2-2-2-222-22-2222-222-2-2-22-2-22000000−2i2i2i−2i-22-220000000000000000-22-22000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ492-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−520000002i−2i2i−2i−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−1+521−52−1−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ70000000000000000
χ502-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−520000002i−2i2i−2i−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−1+521−52−1−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ70000000000000000
χ512-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−52000000−2i2i−2i2i−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−1+521−52−1−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ70000000000000000
χ522-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−52000000−2i2i−2i2i−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−1+521−52−1−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ70000000000000000
χ532-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52-22-22−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−520000002i−2i−2i2i1−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ71−52−1+521+52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ70000000000000000
χ542-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52-22-22−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−520000002i−2i−2i2i1−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ71−52−1+521+52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ70000000000000000
χ552-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52-22-22−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−52000000−2i2i2i−2i1−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ71−52−1+521+52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ70000000000000000
χ562-2-22222-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52-22-22−1+52−1+521−52−1−52−1−521+521−521−52−1+521+521+52−1−52000000−2i2i2i−2i1−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ71−52−1+521+52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ70000000000000000
χ572-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+520000002i−2i2i−2i−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−1−521+52−1+521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ190000000000000000
χ582-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+520000002i−2i2i−2i−1−521+52−1+521−52−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19−1−521+52−1+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ190000000000000000
χ592-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+52000000−2i2i−2i2i−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−1−521+52−1+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ190000000000000000
χ602-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+52000000−2i2i−2i2i−1−521+52−1+521−52−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19−1−521+52−1+521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ190000000000000000
χ612-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52-22-22−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+520000002i−2i−2i2i1+52−1−521−52−1+52ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ191+52−1−521−52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ190000000000000000
χ622-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52-22-22−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+520000002i−2i−2i2i1+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ191+52−1−521−52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ190000000000000000
χ632-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52-22-22−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+52000000−2i2i2i−2i1+52−1−521−52−1+52ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ191+52−1−521−52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ190000000000000000
χ642-2-22222-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52-22-22−1−52−1−521+52−1+52−1+521−521+521+52−1−521−521−52−1+52000000−2i2i2i−2i1+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ191+52−1−521−52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ190000000000000000
χ652-2-22-2-22-22222-2-2-2-2222-2-22-2-2-2-2-2-222222200000000002-22-20000000000000000-22-2200000000000000000000000000000000002-22-20
χ662-2-22-2-22-22222-2-2-2-2222-2-22-2-2-2-2-2-222222200000000002-22-20000000000000000-22-220000000000000000000000000000000000-22-220
χ672-2-22-2-22-22222-2-2-2-222-222-2-2-2-2-2-2-22222220000000000-22-2200000000000000002-22-200000000000000000000000000000000002-2-220
χ682-2-22-2-22-22222-2-2-2-222-222-2-2-2-2-2-2-22222220000000000-22-2200000000000000002-22-20000000000000000000000000000000000-222-20
χ6944444-4-4-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+5040-4000000000000000000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000
χ7044444-4-4-44-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+50-4040000000000000000001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000
χ7144444-4-4-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−5040-4000000000000000000−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000
χ7244444-4-4-44-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−50-4040000000000000000001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000
χ734444-44-4-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+540-400000000000−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000000
χ744444-44-4-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−500001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+5-404000000000001−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000000000000000000000000
χ754444-44-4-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−540-400000000000−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000000
χ764444-44-4-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+500001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5-404000000000001+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000000000000000000
χ774444-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-41−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−50000000000−1+5−1+5−1−5−1−500000000000000001−51−51+51+5000000000000000000000000000000000000000
χ784444-4-444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4441−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−500000000001−51−51+51+50000000000000000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000
χ794444-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-41+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+50000000000−1−5−1−5−1+5−1+500000000000000001+51+51−51−5000000000000000000000000000000000000000
χ804444-4-444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4441+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+500000000001+51+51−51−50000000000000000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000
χ814-44-4000000444-44-4-4-4000000000000000000002i−2i00000000000000000000000000002i−2i2i−2i2i−2i2i−2i4i−4i00000000000000000002-200000000
χ824-44-4000000444-44-4-4-4000000000000000000002i−2i00000000000000000000000000002i−2i2i−2i2i−2i2i−2i−4i4i0000000000000000000-2200000000
χ834-44-4000000444-44-4-4-400000000000000000000−2i2i0000000000000000000000000000−2i2i−2i2i−2i2i−2i2i4i−4i0000000000000000000-2200000000
χ844-44-4000000444-44-4-4-400000000000000000000−2i2i0000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−4i4i00000000000000000002-200000000
χ854-4-444-4-44-4444-4-4-4-44400004-444-44-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ864-4-444-4-44-44−1+5−1−51−51−51+51+5−1+5−1−50000−1+51−5−1+5−1−51+5−1−51−5−1+51−51+5−1−51+50000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ70000000000000000000000000000000000000000000
χ874-4-444-4-44-44−1+5−1−51−51−51+51+5−1+5−1−50000−1+51−5−1+5−1−51+5−1−51−5−1+51−51+5−1−51+500000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000000000000000
χ884-4-444-4-44-44−1−5−1+51+51+51−51−5−1−5−1+50000−1−51+5−1−5−1+51−5−1+51+5−1−51+51−5−1+51−500000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000000000000000
χ894-4-444-4-44-44−1−5−1+51+51+51−51−5−1−5−1+50000−1−51+5−1−5−1+51−5−1+51+5−1−51+51−5−1+51−50000000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000000000000000
χ904-4-44-44-444-444-4-4-4-4440000-444-4444-4-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ914-4-44-44-444-4−1+5−1−51−51−51+51+5−1+5−1−500001−5−1+5−1+51+5−1−5−1−5−1+51−51−5−1−51+51+500000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000000000
χ924-4-44-44-444-4−1+5−1−51−51−51+51+5−1+5−1−500001−5−1+5−1+51+5−1−5−1−5−1+51−51−5−1−51+51+5000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000000000000
χ934-4-44-44-444-4−1−5−1+51+51+51−51−5−1−5−1+500001+5−1−5−1−51−5−1+5−1+5−1−51+51+5−1+51−51−5000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000000000000
χ944-4-44-44-444-4−1−5−1+51+51+51−51−5−1−5−1+500001+5−1−5−1−51−5−1+5−1+5−1−51+51+5−1+51−51−500000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000000000000
χ954-4-44-4-44-444−1+5−1−51−51−51+51+5−1+5−1−54-4-441−51−51−51+51+51+5−1+5−1+5−1+5−1−5−1−5−1−50000000000−1+51−5−1−51+500000000000000001−5−1+51+5−1−5000000000000000000000000000000000000000
χ964-4-44-4-44-444−1+5−1−51−51−51+51+5−1+5−1−5-444-41−51−51−51+51+51+5−1+5−1+5−1+5−1−5−1−5−1−500000000001−5−1+51+5−1−50000000000000000−1+51−5−1−51+5000000000000000000000000000000000000000
χ974-4-44-4-44-444−1−5−1+51+51+51−51−5−1−5−1+54-4-441+51+51+51−51−51−5−1−5−1−5−1−5−1+5−1+5−1+50000000000−1−51+5−1+51−500000000000000001+5−1−51−5−1+5000000000000000000000000000000000000000
χ984-4-44-4-44-444−1−5−1+51+51+51−51−5−1−5−1+5-444-41+51+51+51−51−51−5−1−5−1−5−1−5−1+5−1+5−1+500000000001+5−1−51−5−1+50000000000000000−1−51+5−1+51−5000000000000000000000000000000000000000
χ9988-8-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000000000000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000
χ10188-8-8000000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ70000000000000000000000000000000
χ10288-8-8000000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000
χ10388-8-8000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000000000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000
χ1048-88-8000000−2+25−2−25−2+252−25−2−252+252−252+25000000000000000000004i−4i0000000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000
χ1058-88-8000000−2+25−2−25−2+252−25−2−252+252−252+2500000000000000000000−4i4i00000000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000
χ1068-88-8000000−2−25−2+25−2−252+25−2+252−252+252−25000000000000000000004i−4i0000000000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000
χ1078-88-8000000−2−25−2+25−2−252+25−2+252−252+252−2500000000000000000000−4i4i00000000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000

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