Finite Group Databasebeta

← Group #11997021

Character table — Group #11997021

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222222222222444444444444444448888888888881616161616161616161616161616161616161616161616161616161620202020404040404040404040408080
order1222222255101010101010244441010101010101010202020204444101020202020202044882020202020202020202020202020202040404040404040404444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-111-1-1ii−i−ii−i
χ10111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11-1-111−i−iii−ii
χ11111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11-1-1-111ii−i−i−ii
χ12111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1111-1-1−i−iiii−i
χ13111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-111-1-1−i−iii−ii
χ14111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11-1-111ii−i−ii−i
χ15111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1-1-111−i−iiii−i
χ16111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1111-1-1ii−i−i−ii
χ1722222222222222222-2-2-2-222222222-2-2-2-2000022-2-2-2-2-2-200000000000000000000000000002222-2-20000000000
χ1822222222222222222-2-2-2-222222222-2-2-2-2000022-2-2-2-2-2-20000000000000000000000000000-2-2-2-2220000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+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+52−1−52-2-2-2-21−521−521+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+520000000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521+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+52−1−52−1−520000000000000000
χ2322222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2422222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+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+52-2-2-2-21+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+521−521−520000000000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+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+520000000000000000
χ27222222-2-222222222-2-2-2222222-2-2-2-222220000-2-2-2-2-2-222000000000000000000000000000022-2-2-220000000000
χ28222222-2-222222222-2-2-2222222-2-2-2-222220000-2-2-2-2-2-2220000000000000000000000000000-2-2222-20000000000
χ29222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i2i−2i−2i1−521+52−1+52−1+52−1−52−1−521−521+522-22i−2i−1+52−1+52−1−52−1−521−521−521+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+ζ70000000000000000
χ30222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i2i−2i−2i1−521+52−1+52−1+52−1−52−1−521−521+52-22−2i2i1−521−521+521+52−1+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−ζ70000000000000000
χ31222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−521−521+522-2−2i2i−1+52−1+52−1−52−1−521−521−521+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−ζ70000000000000000
χ32222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−521−521+52-222i−2i1−521−521+521+52−1+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+ζ70000000000000000
χ33222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i2i−2i−2i1+521−52−1−52−1−52−1+52−1+521+521−522-22i−2i−1−52−1−52−1+52−1+521+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+ζ190000000000000000
χ34222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i2i−2i−2i1+521−52−1−52−1−52−1+52−1+521+521−52-22−2i2i1+521+521−521−52−1−52−1−52−1+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−ζ190000000000000000
χ35222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i−2i2i2i1+521−52−1−52−1−52−1+52−1+521+521−522-2−2i2i−1−52−1−52−1+52−1+521+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−ζ190000000000000000
χ36222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i−2i2i2i1+521−52−1−52−1−52−1+52−1+521+521−52-222i−2i1+521+521−521−52−1−52−1−52−1+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+ζ190000000000000000
χ372222-2-22222222222-22-22-2-2-2-2-2222222222-22-2-2-22-22-2-2-20000000000002-22-22-22-2000000000000000000000000
χ382222-2-22222222222-22-22-2-2-2-2-222222222-22-22-2-22-22-2-2-2000000000000-22-22-22-22000000000000000000000000
χ392222-2-22222222222-2-22-22-2-2-2-22222-2-2-2-20000-2-2-22-2222000000000000000000000000000000000000002-22-200
χ402222-2-22222222222-2-22-22-2-2-2-22222-2-2-2-20000-2-2-22-222200000000000000000000000000000000000000-22-2200
χ412222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-21−521+52−1+521−52−1−521+521−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+521−52−1−521+52−1+521−52−1−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ422222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-21−521+52−1+521−52−1−521+521−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+521−52−1−521+52−1+521−52−1−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ432222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-221−521+52−1+521−52−1−521+521−521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−52−1+521+52−1−521−52−1+521+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ442222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-221−521+52−1+521−52−1−521+521−521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−52−1+521+52−1−521−52−1+521+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ452222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-21+521−52−1−521+52−1+521−521+521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−521+52−1+521−52−1−521+52−1+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000
χ462222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-21+521−52−1−521+52−1+521−521+521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−521+52−1+521−52−1−521+52−1+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
χ472222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-221+521−52−1−521+52−1+521−521+521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+52−1−521−52−1+521+52−1−521−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
χ482222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-221+521−52−1−521+52−1+521−521+521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+52−1−521−52−1+521+52−1−521−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000
χ492222-2-2-2-22222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-22i−2i−2i2i222-22-2220000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ502222-2-2-2-22222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2−2i2i2i−2i222-22-222000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ512222-2-2-2-2222222222-222-2-2-2-2-2-2-2-2-22222000022-22-22-2-2000000000000000000000000000000000000002i−2i−2i2i00
χ522222-2-2-2-2222222222-222-2-2-2-2-2-2-2-2-22222000022-22-22-2-200000000000000000000000000000000000000−2i2i2i−2i00
χ532222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-221−521−521+521+521−521−521+521+521−521−521+521+522i−2i−2i2i−1+52−1−52−1+521−52−1−521+52−1+52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000000000000
χ542222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-221−521−521+521+521−521−521+521+521−521−521+521+522i−2i−2i2i−1+52−1−52−1+521−52−1−521+52−1+52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000000000000
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χ714-44-4-440044-4-4-4-44400000-44-440000000000000000000000000000000000000000000000004i−4i00000000000000
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χ734-4-44004-44444-4-4-4-40000000004-44-4000000000000000000000000000000000000000000000000002i−2i2i−2i000000
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χ828-88-88-800−2+25−2−252−252+252−252+25−2+25−2−2500000−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000
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χ848-88-8-8800−2+25−2−252−252+252−252+25−2+25−2−25000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-8800−2−25−2+252+252−252+252−25−2−25−2+25000002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000
χ868-8-88008-8−2+25−2−25−2+25−2−252−252+252−252+25000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000
χ878-8-88008-8−2−25−2+25−2−25−2+252+252−252+252−25000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-88−2+25−2−25−2+25−2−252−252+252−252+250000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-88−2−25−2+25−2−25−2+252+252−252+252−250000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000

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