Finite Group Databasebeta

← Group #12098620

Character table — Group #12098620

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111122222222222222444444444444444488888888888888888888888888882020202020202020202020204040111122222222222222444444444444444488888888888888888888888888882020202020202020202020204040
order1244222444551010202020202244101010101010202020202020448810101010202020202020202020202020404040404040404022224444888844224422244410101010202020202244101010101010202020202020448810101010202020202020202020202020404040404040404022224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ6111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ7111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1
χ911-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1111-1-1-1ii−i−ii−i11-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-1111-1-1-1ii−i−ii−i
χ1011-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1-1111−i−iii−ii11-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1-1111−i−iii−ii
χ1111-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1111-1-1-1−i−iii−ii11-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-1111-1-1-1−i−iii−ii
χ1211-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1111ii−i−ii−i11-1-11-1-111-11111-1-1-1-11-11-111-1-1-1-11111-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1111ii−i−ii−i
χ1311-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1-11-111ii−i−i−ii11-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-1-11-111ii−i−i−ii
χ1411-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1111-11-1-1−i−iiii−i11-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1i−i−ii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1111-11-1-1−i−iiii−i
χ1511-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-11-111−i−iiii−i11-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-1-11-111−i−iiii−i
χ1611-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1111-11-1-1ii−i−i−ii11-1-11-1-111-11111-1-1-1-1-11-1111-1-1-1-11111-1-1−iii−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1111-11-1-1ii−i−i−ii
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+52−1−522222−1+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+52−1−52−1−52000000000000002222222222−1+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+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+52−1−52-2-2-2-2−1+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+52000000000000002222222222−1+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+52−1−52-2-2-2-2−1+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+5200000000000000
χ192222222222−1+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+52−1−5222-2-21−521+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+52000000000000002222222222−1+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+52−1−5222-2-21−521+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+5200000000000000
χ202222222222−1+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+52−1−52-2-2221−521+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+52−1−52−1−52000000000000002222222222−1+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+52−1−52-2-2221−521+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+52−1−52−1−5200000000000000
χ212222222222−1−52−1+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+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000002222222222−1−52−1+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+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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
χ222222222222−1−52−1+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+52-2-2-2-2−1−52−1+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+521−521−52000000000000002222222222−1−52−1+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+52-2-2-2-2−1−52−1+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+521−521−5200000000000000
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+5222-2-21+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+521−521−52000000000000002222222222−1−52−1+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+5222-2-21+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+521−521−5200000000000000
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+52-2-2221+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+52000000000000002222222222−1−52−1+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+52-2-2221+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+5200000000000000
χ2522222-2-2-2-2222222222000022-2-2-2-2-2-2-2-2220000000000000000000000000000002-2002-200000022222-2-2-2-2222222222000022-2-2-2-2-2-2-2-2220000000000000000000000000000002-2002-2000000
χ2622222-2-2-2-2222222222000022-2-2-2-2-2-2-2-222000000000000000000000000000000-2200-2200000022222-2-2-2-2222222222000022-2-2-2-2-2-2-2-222000000000000000000000000000000-2200-22000000
χ272222-22-22-2-2222222222-2-22-2-2-2-2222-22-2-2-2000022-2-2-2-2220000000000000000000000000000002222-22-22-2-2222222222-2-22-2-2-2-2222-22-2-2-2000022-2-2-2-222000000000000000000000000000000
χ282222-22-22-2-222222222-222-2-2-2-2-2222-22-2-2-20000-2-22222-2-20000000000000000000000000000002222-22-22-2-222222222-222-2-2-2-2-2222-22-2-2-20000-2-22222-2-2000000000000000000000000000000
χ292222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+520000−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000002222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+520000−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ302222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+520000−1+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000002222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+520000−1+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ312222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000002222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ322222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000002222-22-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521+521−521+52−1+52−1−52−1+521−52−1−521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ332222-22-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521−521+521−52−1−52−1+52−1−521+52−1+521−521+521−520000−1−52−1+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000002222-22-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521−521+521−52−1−52−1+52−1−521+52−1+521−521+521−520000−1−52−1+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ342222-22-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521−521+521−52−1−52−1+52−1−521+52−1+521−521+521−520000−1−52−1+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000002222-22-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521−521+521−52−1−52−1+52−1−521+52−1+521−521+521−520000−1−52−1+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
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χ12322-2-22-2-222-2−1−52−1+52−1−52−1+521+521+521−521−52-22-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521−522i−2i−2i2i1+521−52−1−52−1+521+521−52−1−52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000-2-222-222-2-221+521−521+521−52−1−52−1−52−1+52−1+522-22-21+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−2i2i2i−2i−1−52−1+521+521−52−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ12422-2-22-2-222-2−1−52−1+52−1−52−1+521+521+521−521−52-22-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521−52−2i2i2i−2i1+521−52−1−52−1+521+521−52−1−52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000-2-222-222-2-221+521−521+521−52−1−52−1−52−1+52−1+522-22-21+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+522i−2i−2i2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ12522-2-2-22-2-2222222-2-2-2-20000-2-2-2-222-22-222200000000000000000000000000002200-2-200000000-2-2222-222-2-2-2-2-2-2222200002222-2-22-22-2-2-20000000000000000000000000000-2-2002200000000
χ12622-2-2-22-2-2222222-2-2-2-20000-2-2-2-222-22-22220000000000000000000000000000-2-2002200000000-2-2222-222-2-2-2-2-2-2222200002222-2-22-22-2-2-200000000000000000000000000002200-2-200000000
χ12722-2-2-2-222-222222-2-2-2-222-2-2-2-222-2-22-22-22200002222-2-2-2-2000000000000000000000000000000-2-22222-2-22-2-2-2-2-22222-2-22222-2-222-22-22-2-20000-2-2-2-22222000000000000000000000000000000
χ12822-2-2-2-222-222222-2-2-2-2-2-222-2-222-2-22-22-2220000-2-2-2-22222000000000000000000000000000000-2-22222-2-22-2-2-2-2-2222222-2-222-2-222-22-22-2-200002222-2-2-2-2000000000000000000000000000000
χ12922-2-2-2-222-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-21−521+52−1+52−1−521−521+52−1+521−52−1−521+52−1+52−1−520000−1+52−1−52−1+52−1−521−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000-2-22222-2-22-21−521+521−521+52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521+52−1+52−1−521−52−1+521+52−1−521−521+5200001−521+521−521+52−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ13022-2-2-2-222-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-21−521+52−1+52−1−521−521+52−1+521−52−1−521+52−1+52−1−520000−1+52−1−52−1+52−1−521−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000-2-22222-2-22-21−521+521−521+52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521+52−1+52−1−521−52−1+521+52−1−521−521+5200001−521+521−521+52−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ13122-2-2-2-222-22−1+52−1−52−1+52−1−521−521−521+521+52-2-2221−521+52−1+52−1−521−521+52−1+521−52−1−521+52−1+52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000-2-22222-2-22-21−521+521−521+52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521+52−1+52−1−521−52−1+521+52−1−521−521+520000−1+52−1−52−1+52−1−521−521+521−521+52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ13222-2-2-2-222-22−1+52−1−52−1+52−1−521−521−521+521+52-2-2221−521+52−1+52−1−521−521+52−1+521−52−1−521+52−1+52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000-2-22222-2-22-21−521+521−521+52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521+52−1+52−1−521−52−1+521+52−1−521−521+520000−1+52−1−52−1+52−1−521−521+521−521+52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ13322-2-2-2-222-22−1−52−1+52−1−52−1+521+521+521−521−5222-2-21+521−52−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+520000−1−52−1+52−1−52−1+521+521−521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000-2-22222-2-22-21+521−521+521−52−1−52−1−52−1+52−1+52-2-222−1−52−1+521+521−52−1−52−1+521+52−1−521−52−1+521+521−5200001+521−521+521−52−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ13422-2-2-2-222-22−1−52−1+52−1−52−1+521+521+521−521−5222-2-21+521−52−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+520000−1−52−1+52−1−52−1+521+521−521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000-2-22222-2-22-21+521−521+521−52−1−52−1−52−1+52−1+52-2-222−1−52−1+521+521−52−1−52−1+521+52−1−521−52−1+521+521−5200001+521−521+521−52−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ13522-2-2-2-222-22−1−52−1+52−1−52−1+521+521+521−521−52-2-2221+521−52−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+5200001+521−521+521−52−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000-2-22222-2-22-21+521−521+521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521−52−1−52−1+521+52−1−521−52−1+521+521−520000−1−52−1+52−1−52−1+521+521−521+521−52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ13622-2-2-2-222-22−1−52−1+52−1−52−1+521+521+521−521−52-2-2221+521−52−1−52−1+521+521−52−1−521+52−1+521−52−1−52−1+5200001+521−521+521−52−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000-2-22222-2-22-21+521−521+521−52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521−52−1−52−1+521+52−1−521−52−1+521+521−520000−1−52−1+52−1−52−1+521+521−521+521−52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ13744444-4-4-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000−1+5−1−51−51+51−51+51−51−51+51+5−1+5−1−5000000000000000000000000000000000000000000-4-4-4-4-44444-41−51+51−51+51−51−51+51+500001−51+5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51+5000000000000000000000000000000000000000000
χ13844444-4-4-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000−1−5−1+51+51−51+51−51+51+51−51−5−1−5−1+5000000000000000000000000000000000000000000-4-4-4-4-44444-41+51−51+51−51+51+51−51−500001+51−5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51−5000000000000000000000000000000000000000000
χ1394444-4-44-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500001−51+5−1+5−1−51−51+51−5−1+51+5−1−51−51+5000000000000000000000000000000000000000000-4-4-4-444-44-441−51+51−51+51−51−51+51+50000−1+5−1−51−51+5−1+5−1−5−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000
χ1404444-4-44-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500001+51−5−1−5−1+51+51−51+5−1−51−5−1+51+51−5000000000000000000000000000000000000000000-4-4-4-444-44-441+51−51+51−51+51+51−51−50000−1−5−1+51+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000
χ14144-4-4444-4-4-4−1+5−1−5−1+5−1−51−51−51+51+50000−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51+5000000000000000000000000000000000000000000-4-444-4-4-44441−51+51−51+5−1+5−1+5−1−5−1−500001−51+51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000000000000000000000000000000000000000
χ14244-4-4444-4-4-4−1−5−1+5−1−5−1+51+51+51−51−50000−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51−5000000000000000000000000000000000000000000-4-444-4-4-44441+51−51+51−5−1−5−1−5−1+5−1+500001+51−51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000000000000000000000000000000000000000
χ14344-4-4-44-4-444−1+5−1−5−1+5−1−51−51−51+51+500001−51+51−51+5−1+5−1−51−5−1+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000-4-4444-444-4-41−51+51−51+5−1+5−1+5−1−5−1−50000−1+5−1−5−1+5−1−51−51+5−1+51−5−1−51+51−51+5000000000000000000000000000000000000000000
χ14444-4-4-44-4-444−1−5−1+5−1−5−1+51+51+51−51−500001+51−51+51−5−1−5−1+51+5−1−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000-4-4444-444-4-41+51−51+51−5−1−5−1−5−1+5−1+50000−1−5−1+5−1−5−1+51+51−5−1−51+5−1+51−51+51−5000000000000000000000000000000000000000000
χ1454-44i−4i00000044-4-44i−4i4i−4i0000000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900-44−4i4i000000-4-444−4i4i−4i4i00000000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900
χ1464-44i−4i00000044-4-44i−4i4i−4i00000000000000000000000000000000000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900-44−4i4i000000-4-444−4i4i−4i4i0000000000000000000000000000000000000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ3900
χ1474-4−4i4i00000044-4-4−4i4i−4i4i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700-444i−4i000000-4-4444i−4i4i−4i00000000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700
χ1484-4−4i4i00000044-4-4−4i4i−4i4i00000000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3700-444i−4i000000-4-4444i−4i4i−4i0000000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ3700
χ1498-88i−8i000000−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000000000000000000000000000000000000000000000000000-88−8i8i0000002−252+25−2+25−2−254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000000000000000000000000000000000000000000000000000
χ1508-88i−8i000000−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000000000000000000000000000000000000000000000000000000000-88−8i8i0000002+252−25−2−25−2+254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000
χ1518-8−8i8i000000−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ140000000000000000000000000000000000000000000000000000000000-888i−8i0000002−252+25−2+25−2−25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ140000000000000000000000000000000000000000000000000000000000
χ1528-8−8i8i000000−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000-888i−8i0000002+252−25−2−25−2+25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ380000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.