Finite Group Databasebeta

← Group #12016808

Character table — Group #12016808

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size11112222222222444444444488888888888888888888888888101016161616161616161616161616161616161616161616162020204040404040404040808080
order1222225510101010101022224410101010444444101010101010101020202020202020202020202022488202020202020202020202020404040404040404022222244444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1
χ6111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111111-1-1
χ91111111111111111-1-1-1-1111111ii−i−i1111-1-1-1-1-1-111111111-1-111-1i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1ii−i−i-1i−i
χ101111111111111111-1-1-1-1111111ii−i−i1111-1-1-1-1-1-111111111-1-1-1-1-1i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-11−i−iii1−ii
χ111111111111111111-1-1-1-1111111−i−iii1111-1-1-1-1-1-111111111-1-111-1−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1−i−iii-1−ii
χ121111111111111111-1-1-1-1111111−i−iii1111-1-1-1-1-1-111111111-1-1-1-1-1−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-11ii−i−i1i−i
χ131111111111111111-1-1-1-11111-1-1ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−ii1111iiii−i−i−i−i−i−i−i−iiiii1-1-11-1-1-1ii−i−i1−ii
χ141111111111111111-1-1-1-11111-1-1ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii1111iiii−i−i−i−i−i−i−i−iiiii-111-1111−i−iii-1i−i
χ151111111111111111-1-1-1-11111-1-1−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111i−i1111−i−i−i−iiiiiiiii−i−i−i−i1-1-11-1-1-1−i−iii1i−i
χ161111111111111111-1-1-1-11111-1-1−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i1111−i−i−i−iiiiiiiii−i−i−i−i-111-1111ii−i−i-1−ii
χ1722222222222222-2-222-2-22222000000-2-2-2-22222-2-200000000-2-22200000000000000000000000222-200-20000000
χ1822222222222222-2-222-2-22222000000-2-2-2-22222-2-200000000-2-2-2-200000000000000000000000-2-2-220020000000
χ1922222222222222-2-2-2-2222222000000-2-2-2-2-2-2-2-222000000002222000000000000000000000002-2-2-20020000000
χ2022222222222222-2-2-2-2222222000000-2-2-2-2-2-2-2-2220000000022-2-200000000000000000000000-222200-20000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1−52002-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52-2-22222−1+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+52−1+52−1−5200-2-2-21−521−521+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+5200000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1−5200-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52222i2i−2i−2i−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+5200-22i−2i1−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−5222−2i−2i2i2i−1+52−1+52−1−52−1−521−521+521−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+5200-2−2i2i1−521−521+521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52-2-22i2i−2i−2i−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521−521−521−521+521+521+521+521−521+52002−2i2i−1+52−1+52−1−52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1−52-2-2−2i−2i2i2i−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521−521−521−521+521+521+521+521−521+520022i−2i−1+52−1+52−1−52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+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+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+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+52002-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+5200-2-2-21+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+521−521−5200000000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1+5200-2221+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+5200000000000000
χ33222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52222i2i−2i−2i−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−5200-22i−2i1+521+521−521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000000000
χ34222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+5222−2i−2i2i2i−1−52−1−52−1+52−1+521+521−521+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−5200-2−2i2i1+521+521−521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000000000
χ35222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52-2-22i2i−2i−2i−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521+521+521+521−521−521−521−521+521−52002−2i2i−1−52−1−52−1+52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000000000
χ36222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+52−1−52−1+52-2-2−2i−2i2i2i−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521+521+521+521−521−521−521−521+521−520022i−2i−1−52−1−52−1+52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000000000
χ372-2-22-2222-2-222-2-22-22-22-222-2-2002i−2i2i−2i2-22-222-2-2-2-200000000220000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ382-2-22-2222-2-222-2-22-22-22-222-2-200−2i2i−2i2i2-22-222-2-2-2-20000000022000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ392-2-22-2222-2-222-2-22-2-22-2222-2-2002-2-222-22-2-2-2222200000000-2-20000000002-22-2-22-220000000000000000000000
χ402-2-22-2222-2-222-2-22-2-22-2222-2-200-222-22-22-2-2-2222200000000-2-2000000000-22-222-22-20000000000000000000000
χ412-2-22-2222-2-222-2-2-222-2-2222-2-2000000-22-2222-2-22200000000-2-2000000000000000000000000000000002i−2i2i−2i000
χ422-2-22-2222-2-222-2-2-222-2-2222-2-2000000-22-2222-2-22200000000-2-200000000000000000000000000000000−2i2i−2i2i000
χ432-2-22-2222-2-222-2-2-22-222-222-2-2000000-22-22-2-222-2-20000000022000000000000000000000000000000002-2-22000
χ442-2-22-2222-2-222-2-2-22-222-222-2-2000000-22-22-2-222-2-2000000002200000000000000000000000000000000-222-2000
χ452-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-22-22-2−1+52−1−521−521+52002i−2i2i−2i−1+521−52−1−521+52−1+52−1−521−521+521−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−1+52−1−5200000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ462-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-22-22-2−1+52−1−521−521+52002i−2i2i−2i−1+521−52−1−521+52−1+52−1−521−521+521−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−1+52−1−5200000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ472-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-22-22-2−1+52−1−521−521+5200−2i2i−2i2i−1+521−52−1−521+52−1+52−1−521−521+521−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−1+52−1−5200000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000000000
χ482-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-22-22-2−1+52−1−521−521+5200−2i2i−2i2i−1+521−52−1−521+52−1+52−1−521−521+521−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−1+52−1−5200000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000000000
χ492-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-2-22-22−1+52−1−521−521+52002-2-22−1+521−52−1−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ71−521+5200000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−1+521−52−1−521+521−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ502-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-2-22-22−1+52−1−521−521+52002-2-22−1+521−52−1−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ71−521+5200000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−1+521−52−1−521+521−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ512-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-2-22-22−1+52−1−521−521+5200-222-2−1+521−52−1−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ71−521+5200000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ71−52−1+521+52−1−52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ700000000000000
χ522-2-22-22−1+52−1−521−521+52−1+52−1−521−521+522-2-22-22−1+52−1−521−521+5200-222-2−1+521−52−1−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ71−521+5200000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ71−52−1+521+52−1−52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ700000000000000
χ532-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-22-22-2−1−52−1+521+521−52002i−2i2i−2i−1−521+52−1+521−52−1−52−1+521+521−521+521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−1−52−1+5200000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000
χ542-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-22-22-2−1−52−1+521+521−52002i−2i2i−2i−1−521+52−1+521−52−1−52−1+521+521−521+521−52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−1−52−1+5200000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000
χ552-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-22-22-2−1−52−1+521+521−5200−2i2i−2i2i−1−521+52−1+521−52−1−52−1+521+521−521+521−52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−1−52−1+5200000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000000000
χ562-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-22-22-2−1−52−1+521+521−5200−2i2i−2i2i−1−521+52−1+521−52−1−52−1+521+521−521+521−52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−1−52−1+5200000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000000000
χ572-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-2-22-22−1−52−1+521+521−52002-2-22−1−521+52−1+521−521+521−52−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ191+521−5200000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−1−521+52−1+521−521+52−1−521−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900000000000000
χ582-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-2-22-22−1−52−1+521+521−52002-2-22−1−521+52−1+521−521+521−52−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ191+521−5200000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−1−521+52−1+521−521+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900000000000000
χ592-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-2-22-22−1−52−1+521+521−5200-222-2−1−521+52−1+521−521+521−52−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ191+521−5200000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ191+52−1−521−52−1+52−1−521+52−1+521−52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ1900000000000000
χ602-2-22-22−1−52−1+521+521−52−1−52−1+521+521−522-2-22-22−1−52−1+521+521−5200-222-2−1−521+52−1+521−521+521−52−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ191+521−5200000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ191+52−1−521−52−1+52−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ1900000000000000
χ61444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-444-4-4−1+5−1−5−1+5−1−50000001−51−51+51+5−1+5−1−5−1+5−1−51−51+5000000001−51+5000000000000000000000000000000000000000
χ62444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-4-444−1+5−1−5−1+5−1−50000001−51−51+51+51−51+51−51+5−1+5−1−500000000−1+5−1−5000000000000000000000000000000000000000
χ63444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-444-4-4−1−5−1+5−1−5−1+50000001+51+51−51−5−1−5−1+5−1−5−1+51+51−5000000001+51−5000000000000000000000000000000000000000
χ64444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-4-444−1−5−1+5−1−5−1+50000001+51+51−51−51+51−51+51−5−1−5−1+500000000−1−5−1+5000000000000000000000000000000000000000
χ654444-4-444444444000000-4-4-4-4000000000000000000000000004400000000000000000000000-40000000000000
χ664444-4-444444444000000-4-4-4-400000000000000000000000000-4-40000000000000000000000040000000000000
χ674-44-40044-4-4-4-44400000000002-2000000000000002-22-22-22-2004-40000000000000000000000000002-200000000
χ684-44-40044-4-4-4-44400000000002-2000000000000002-22-22-22-200-44000000000000000000000000000-2200000000
χ694-44-40044-4-4-4-4440000000000-2200000000000000-22-22-22-22004-4000000000000000000000000000-2200000000
χ704-44-40044-4-4-4-4440000000000-2200000000000000-22-22-22-2200-440000000000000000000000000002-200000000
χ714-4-444-444-4-444-4-4000000-4-44400000000000000000000000000000000000000000000000000004-400000000000
χ724-4-444-444-4-444-4-4000000-4-4440000000000000000000000000000000000000000000000000000-4400000000000
χ734-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5-444-4-44−1+5−1−51−51+50000001−5−1+51+5−1−5−1+5−1−51−51+5−1+5−1−5000000001−51+5000000000000000000000000000000000000000
χ744-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5-44-444-4−1+5−1−51−51+50000001−5−1+51+5−1−51−51+5−1+5−1−51−51+500000000−1+5−1−5000000000000000000000000000000000000000
χ754-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5-444-4-44−1−5−1+51+51−50000001+5−1−51−5−1+5−1−5−1+51+51−5−1−5−1+5000000001+51−5000000000000000000000000000000000000000
χ764-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5-44-444-4−1−5−1+51+51−50000001+5−1−51−5−1+51+51−5−1−5−1+51+51−500000000−1−5−1+5000000000000000000000000000000000000000
χ778888-8-8−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−250000002−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000
χ788888-8-8−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+250000002+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000
χ8188-8-800−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000
χ8288-8-800−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000
χ8388-8-800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000
χ848-88-800−2+25−2−252−252+252−252+25−2+25−2−2500000000004-400000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000
χ858-88-800−2+25−2−252−252+252−252+25−2+25−2−250000000000-44000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000
χ868-88-800−2−25−2+252+252−252+252−25−2−25−2+2500000000004-400000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000
χ878-88-800−2−25−2+252+252−252+252−25−2−25−2+250000000000-44000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000
χ888-8-888-8−2+25−2−252−252+25−2+25−2−252−252+250000002−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000
χ898-8-888-8−2−25−2+252+252−25−2−25−2+252+252−250000002+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000

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