Finite Group Databasebeta

← Group #12002362

Character table — Group #12002362

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222222222222222222222224444444444444444448888888888888888888888888888888888888888888816161616161616161616202020202020202040404040404040408080
order1222222244444444551010101010101010101010101010442020202020202020202020202020202044444444202020202020202020202020202020202020202020202020202020202020202020202020442020202020202020888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ92222222222222222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000
χ102222222222222222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52000000000000000000
χ112222222222222222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000000000000000
χ122222222222222222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000
χ132222222222222222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000
χ142222222222222222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52000000000000000000
χ152222222222222222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−52000000000000000000
χ162222222222222222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000
χ1722222222222-2-2-22-22222222222222222-2-22222-2-2-2-22222-2-2-2-222-2-20000-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222-2-2-22-22222222222222222-2-22222-2-2-2-22222-2-2-2-2-2-2220000-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ1922222222222-2-2-22-2−1+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+52−1−52-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+5222-2-200001−521−521+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+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000000000
χ2022222222222-2-2-22-2−1+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+52−1−52-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+5222-2-200001−521−521+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+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000000000
χ2122222222222-2-2-22-2−1+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+52−1−52-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52-2-22200001−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000000000
χ2222222222222-2-2-22-2−1+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+52−1−52-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52-2-22200001−521−521+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000000000
χ2322222222222-2-2-22-2−1−52−1+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+52-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5222-2-200001+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000000000
χ2422222222222-2-2-22-2−1−52−1+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+52-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−5222-2-200001+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000000000
χ2522222222222-2-2-22-2−1−52−1+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+52-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52-2-22200001+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−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000000000
χ2622222222222-2-2-22-2−1−52−1+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+52-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52-2-22200001+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+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000000000
χ2722222222-2-2-2222-222222222222222222-2-2-2-2-2-22222-2-2-2-22222000022-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ2822222222-2-2-2222-222222222222222222-2-2-2-2-2-22222-2-2-2-222220000-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ2922222222-2-2-2222-22−1+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+52−1−52-2-21−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52000022-2-21−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000000000
χ3022222222-2-2-2222-22−1+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+52−1−52-2-21−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52000022-2-21−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000000000
χ3122222222-2-2-2222-22−1+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+52−1−52-2-21−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000-2-2221−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000000000
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χ8444-4-4-4-44400044-40-4−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+51−51+51−5−1−5−1+5000000−1−5−1−51+51+50000−1+5−1+51−51−500004i−4i0000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ8544-4-4-4-44400044-40-4−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+51−51+51−5−1−5−1+5000000−1−5−1−51+51+50000−1+5−1+51−51−50000−4i4i00000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000
χ8644-4-4-4-444000-4-44044444-44-4-44-4-4-4-4-444000000-4-4440000-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-4-444000-4-4404−1+5−1−5−1+5−1−51−5−1+51−51+5−1−51+51−51+51−51+5−1+5−1−50000001−51−5−1+5−1+500001+51+5−1−5−1−50000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000
χ8844-4-4-4-444000-4-4404−1+5−1−5−1+5−1−51−5−1+51−51+5−1−51+51−51+51−51+5−1+5−1−50000001−51−5−1+5−1+500001+51+5−1−5−1−500000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000
χ8944-4-4-4-444000-4-4404−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+51−51+51−5−1−5−1+50000001+51+5−1−5−1−500001−51−5−1+5−1+500000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000
χ9044-4-4-4-444000-4-4404−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+51−51+51−5−1−5−1+50000001+51+5−1−5−1−500001−51−5−1+5−1+50000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000
χ914-444-4-4-444-444-44-4-4−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51+51−51+54-4−1+51−5−1+51−5−1+51−5−1+51−5−1−51+5−1−51+5−1−51+5−1−51+500000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ924-444-4-4-444-444-44-4-4−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51−51+51−54-4−1−51+5−1−51+5−1−51+5−1−51+5−1+51−5−1+51−5−1+51−5−1+51−500000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ934-444-4-4-444-44-44-4-44−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51+51−51+5-44−1+51−5−1+51−51−5−1+51−5−1+5−1−51+5−1−51+51+5−1−51+5−1−5000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ944-444-4-4-444-44-44-4-44−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51−51+51−5-44−1−51+5−1−51+51+5−1−51+5−1−5−1+51−5−1+51−51−5−1+51−5−1+5000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ954-444-4-4-44-44-44-444-4−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51+51−51+5-441−5−1+51−5−1+5−1+51−5−1+51−51+5−1−51+5−1−5−1−51+5−1−51+5000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ964-444-4-4-44-44-44-444-4−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51−51+51−5-441+5−1−51+5−1−5−1−51+5−1−51+51−5−1+51−5−1+5−1+51−5−1+51−5000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ974-444-4-4-44-44-4-44-444−1+5−1−51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51+51−51+54-41−5−1+51−5−1+51−5−1+51−5−1+51+5−1−51+5−1−51+5−1−51+5−1−500000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ984-444-4-4-44-44-4-44-444−1−5−1+51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51−51+51−54-41+5−1−51+5−1−51+5−1−51+5−1−51−5−1+51−5−1+51−5−1+51−5−1+500000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ994-44-4-444-44-4-40004044-4-44-4-44-4-4-4-44444004-4-4400004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-444-44-4-400040−1+5−1−51−51+5−1+51−51−5−1−51+51+51−51+5−1+5−1−5−1+5−1−500−1+51−51−5−1+50000−1−51+51+5−1−50000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ1014-44-4-444-44-4-400040−1+5−1−51−51+5−1+51−51−5−1−51+51+51−51+5−1+5−1−5−1+5−1−500−1+51−51−5−1+50000−1−51+51+5−1−5000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ1024-44-4-444-44-4-400040−1−5−1+51+51−5−1−51+51+5−1+51−51−51+51−5−1−5−1+5−1−5−1+500−1−51+51+5−1−50000−1+51−51−5−1+5000000000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ1034-44-4-444-44-4-400040−1−5−1+51+51−5−1−51+51+5−1+51−51−51+51−5−1−5−1+5−1−5−1+500−1−51+51+5−1−50000−1+51−51−5−1+50000000000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ1044-44-4-444-4-444000-40−1+5−1−51−51+5−1+51−51−5−1−51+51+51−51+5−1+5−1−5−1+5−1−5001−5−1+5−1+51−500001+5−1−5−1−51+50000004-40000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ1054-44-4-444-4-444000-40−1+5−1−51−51+5−1+51−51−5−1−51+51+51−51+5−1+5−1−5−1+5−1−5001−5−1+5−1+51−500001+5−1−5−1−51+5000000-4400000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ1064-44-4-444-4-444000-40−1−5−1+51+51−5−1−51+51+5−1+51−51−51+51−5−1−5−1+5−1−5−1+5001+5−1−5−1−51+500001−5−1+5−1+51−50000004-40000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ1074-44-4-444-4-444000-40−1−5−1+51+51−5−1−51+51+5−1+51−51−51+51−5−1−5−1+5−1−5−1+5001+5−1−5−1−51+500001−5−1+5−1+51−5000000-4400000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ1084-4-444-44-40000000044-4-4-4-44-4-4444-4-4440000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ1094-4-444-44-40000000044-4-4-4-44-4-4444-4-444000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ1104-4-4-444-440004-4-40444-4-4-44-4-44-44444-4-40000004-4-4400004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-4-444-440004-4-404−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51+5000000−1+51−51−5−1+50000−1−51+51+5−1−5000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000
χ1124-4-4-444-440004-4-404−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51+5000000−1+51−51−5−1+50000−1−51+51+5−1−50000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000
χ1134-4-4-444-440004-4-404−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51−5000000−1−51+51+5−1−50000−1+51−51−5−1+50000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000
χ1144-4-4-444-440004-4-404−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51−5000000−1−51+51+5−1−50000−1+51−51−5−1+5000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000
χ1154-4-4-444-44000-4440-4−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51+50000001−5−1+5−1+51−500001+5−1−5−1−51+50000004i−4i0000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000
χ1164-4-4-444-44000-4440-4−1+5−1−51−51+51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−51−51+50000001−5−1+5−1+51−500001+5−1−5−1−51+5000000−4i4i00000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000
χ1174-4-4-444-44000-4440-4−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51−50000001+5−1−5−1−51+500001−5−1+5−1+51−50000004i−4i0000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000
χ1184-4-4-444-44000-4440-4−1−5−1+51+51−51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+51+51−50000001+5−1−5−1−51+500001−5−1+5−1+51−5000000−4i4i00000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000
χ11988-88-88-8-800000000−2+25−2−25−2+25−2−252−252−25−2+252+252+25−2−252−252+25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-88-88-8-800000000−2−25−2+25−2−25−2+252+252+25−2−252−252−25−2+252+252−25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-888-88-800000000−2+25−2−252−252+252−252−25−2+252+252+25−2−25−2+25−2−252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-88-800000000−2−25−2+252+252−252+252+25−2−252−252−25−2+25−2−25−2+252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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