Finite Group Databasebeta

← Group #12252306

Character table — Group #12252306

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11222222222222244444444444448888888888202020204040112222222222222444444444444488888888882020202040401122222222222224444444444444888888888820202020404011222222222222244444444444448888888888202020204040
order12244558810101010101082020202040404040404040404420202020202020201616161688222441010881010101010108202020204040404040404040442020202020202020161616168822244101088101010101010820202020404040404040404044202020202020202016161616882224410108810101010101082020202040404040404040404420202020202020201616161688
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i11-1-1i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i11-1-1i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i11-1-1i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i11-1-1i−i
χ611-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i-1-111−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i-1-111−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i-1-111−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i-1-111−ii
χ711-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−ii
χ811-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii-1-111i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii-1-111i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii-1-111i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii-1-111i−i
χ92222222-2-2222222-22222-2-2-2-2-2-2-2-200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-20000000000000000
χ1022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−52000000
χ1122222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52000000
χ1222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000
χ1322222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000
χ1422222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+52000000
χ1522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+521−521−52000000
χ1622222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000
χ1722222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000022222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000
χ18222-2-222002222220-2-2-2-2000000000000000000i2−i2i2−i200222-2-222002222220-2-2-2-2000000000000000000i2−i2i2−i200222-2-222002222220-2-2-2-2000000000000000000i2−i2i2−i200222-2-222002222220-2-2-2-2000000000000000000i2−i2i2−i200
χ19222-2-222002222220-2-2-2-2000000000000000000−i2i2−i2i200222-2-222002222220-2-2-2-2000000000000000000−i2i2−i2i200222-2-222002222220-2-2-2-2000000000000000000−i2i2−i2i200222-2-222002222220-2-2-2-2000000000000000000−i2i2−i2i200
χ2022-22-222-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000022-22-222-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000022-22-222-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000022-22-222-2-222-2-2-2-22-2-222-2-2-2-222220000000000000000
χ2122-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000022-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000022-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000022-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000
χ2222-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000022-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000022-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000022-22-2−1+52−1−5222−1+52−1−521−521−521+521+52-21−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000
χ2322-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000022-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000022-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000022-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14000000
χ2422-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000022-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000022-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000022-22-2−1+52−1−52-2-2−1+52−1−521−521−521+521+5221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14000000
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χ1314-4000−1−5−1+5−2i22i21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000004-4000−1−5−1+5−2i22i21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000-440001+51−52i2−2i2−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000-440001+51−52i2−2i2−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000
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χ13311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111
χ13411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ1351111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ1361111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
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χ13811-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i-1-111−ii-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-11111−ii−i−i−i−iiiii11-1-1i−i-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-11111−ii−i−i−i−iiiii11-1-1i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1i−iiiii−i−i−i−i-1-111−ii
χ13911-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−ii-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-11111i−iiiii−i−i−i−i-1-111i−i-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-11111i−iiiii−i−i−i−i-1-111i−i11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii11-1-1−ii
χ14011-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii-1-111i−i-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-11111i−iiiii−i−i−i−i11-1-1−ii-1-11-11-1-1-1-1-1-11111111-1-1-1-1-1-11111i−iiiii−i−i−i−i11-1-1−ii11-11-1111111-1-1-1-1-1-1-1111111-1-1-1-1−ii−i−i−i−iiiii-1-111i−i
χ1412222222-2-2222222-22222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-222-2-2-2-2-2-22-2-2-2-2222222220000000000000000-2-2-2-2-2-2-222-2-2-2-2-2-22-2-2-2-22222222200000000000000002222222-2-2222222-22222-2-2-2-2-2-2-2-20000000000000000
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χ14322222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52000000-2-2-2-2-21−521+52-2-21−521+521−521−521+521+52-21−521+521−521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-2-2-21−521+52-2-21−521+521−521−521+521+52-21−521+521−521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52000000
χ14422222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000-2-2-2-2-21−521+52221−521+521−521−521+521+5221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000-2-2-2-2-21−521+52221−521+521−521−521+521+5221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000
χ14522222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000-2-2-2-2-21−521+52221−521+521−521−521+521+5221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000-2-2-2-2-21−521+52221−521+521−521−521+521+5221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000022222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000
χ14622222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+52000000-2-2-2-2-21+521−52-2-21+521−521+521+521−521−52-21+521−521+521−521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−52000000-2-2-2-2-21+521−52-2-21+521−521+521+521−521−52-21+521−521+521−521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+52000000
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χ1714-4000−1+5−1−5−2i22i21−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000-440001−51+52i2−2i2−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000-440001−51+52i2−2i2−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000004-4000−1+5−1−5−2i22i21−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000
χ1724-4000−1+5−1−5−2i22i21−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000-440001−51+52i2−2i2−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000-440001−51+52i2−2i2−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000004-4000−1+5−1−5−2i22i21−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000
χ1734-4000−1−5−1+52i2−2i21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000-440001+51−5−2i22i2−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000-440001+51−5−2i22i2−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000004-4000−1−5−1+52i2−2i21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000
χ1744-4000−1−5−1+52i2−2i21+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000-440001+51−5−2i22i2−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000-440001+51−5−2i22i2−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000004-4000−1−5−1+52i2−2i21+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000
χ1754-4000−1−5−1+5−2i22i21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000-440001+51−52i2−2i2−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000-440001+51−52i2−2i2−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000004-4000−1−5−1+5−2i22i21+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000
χ1764-4000−1−5−1+5−2i22i21+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000-440001+51−52i2−2i2−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000-440001+51−52i2−2i2−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000004-4000−1−5−1+5−2i22i21+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000

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