Finite Group Databasebeta

← Group #12003192

Character table — Group #12003192

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222222222222222222222224444444444444444448888888888888888888888888888888888888888888816161616161616161616202020202020202040404040404040408080
order1222222244444444551010101010101010101010101010442020202020202020202020202020202044448888202020202020202020202020202020202020202040404040404040404040404040404040442020202020202020888888888888888844
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
χ1722222222222-2-2-2-222222222222222222-2-2222222-2-2-2-2-2-2-2-22222-2-20000-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222-2-2-2-222222222222222222-2-2222222-2-2-2-2-2-2-2-222-2-2220000-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ1922222222222-2-2-2-22−1+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+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-200001−521−521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ3600ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000000000
χ2022222222222-2-2-2-22−1+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+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−5222-2-200001−521−521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ3600−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000000000
χ2122222222222-2-2-2-22−1+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+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-22200001−521−521+521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ3600−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000000000
χ2222222222222-2-2-2-22−1+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+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52-2-22200001−521−521+521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ3600ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000000000
χ2322222222222-2-2-2-22−1−52−1+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+52-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-200001+521+521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ2800−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000000000
χ2422222222222-2-2-2-22−1−52−1+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+52-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+5222-2-200001+521+521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ2800ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000000000
χ2522222222222-2-2-2-22−1−52−1+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+52-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-22200001+521+521−521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ2800ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000000000
χ2622222222222-2-2-2-22−1−52−1+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+52-2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52-2-22200001+521+521−521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ2800−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000000000
χ2722222222-2-2-22222-22222222222222222-2-2-2-2-2-2-2-222222222-2-200000000-2-2-2-20000000000000000000000000000000000000000002222-2-2-2-20000000000
χ2822222222-2-2-22222-22222222222222222-2-2-2-2-2-2-2-222222222-2-200000000-2-2-2-2000000000000000000000000000000000000000000-2-2-2-222220000000000
χ2922222222-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000000000000000000000002i2i−2i−2i000000
χ3022222222-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000000000000000000000−2i−2i2i2i000000
χ31222-22-2-2-222-20000-22222-2-222-2-22-22-2-2-20022-222-200000000-2-2002-200000000000022-2-2000022-2-20000000000000000000000000022−2−222−2−22−22−2000000
χ32222-22-2-2-222-20000-22222-2-222-2-22-22-2-2-20022-222-200000000-2-2002-200000000000022-2-2000022-2-200000000000000000000000000−2−222−2−222−22−22000000
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χ34222-22-2-2-222-20000-22222-2-222-2-22-22-2-2-20022-222-200000000-2-200-22000000000000-2-2220000-2-22200000000000000000000000000−2−222−2−2222−22−2000000
χ35222-22-2-2-2-2-22000022222-2-222-2-22-22-2-2-200-2-22-2-2200000000222i−2i00000000002i2i−2i−2i00002i2i−2i−2i00000000000000000000000000000022−2−2−2−222i2−i2−i2i2000000
χ36222-22-2-2-2-2-22000022222-2-222-2-22-22-2-2-200-2-22-2-2200000000222i−2i00000000002i2i−2i−2i00002i2i−2i−2i000000000000000000000000000000−2−22222−2−2−i2i2i2−i2000000
χ37222-22-2-2-2-2-22000022222-2-222-2-22-22-2-2-200-2-22-2-220000000022−2i2i0000000000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000000022−2−2−2−222−i2i2i2−i2000000
χ38222-22-2-2-2-2-22000022222-2-222-2-22-22-2-2-200-2-22-2-220000000022−2i2i0000000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000000000000000−2−22222−2−2i2−i2−i2i2000000
χ3922-22-2-22-2000-22-220222-22-22-22-2-2-2-2-2220000000022-2-222-2-2000000i2i2−i2−i200000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000002i−2i2i−2i000022−2−200
χ4022-22-2-22-2000-22-220222-22-22-22-2-2-2-2-2220000000022-2-222-2-2000000i2i2−i2−i200000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000−2i2i−2i2i0000−2−22200
χ4122-22-2-22-2000-22-220222-22-22-22-2-2-2-2-2220000000022-2-222-2-2000000−i2−i2i2i200000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000002i−2i2i−2i0000−2−22200
χ4222-22-2-22-2000-22-220222-22-22-22-2-2-2-2-2220000000022-2-222-2-2000000−i2−i2i2i200000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000−2i2i−2i2i000022−2−200
χ432-22-2-2-22200022-2-2022-22-22-22-22-2-2-2-222000000002-22-22-22-2000000i2−i2i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000002-22-200000000i2−i2i2−i200
χ442-22-2-2-22200022-2-2022-22-22-22-22-2-2-2-222000000002-22-22-22-2000000i2−i2i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000-22-2200000000−i2i2−i2i200
χ452-22-2-2-22200022-2-2022-22-22-22-22-2-2-2-222000000002-22-22-22-2000000−i2i2−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000002-22-200000000−i2i2−i2i200
χ462-22-2-2-22200022-2-2022-22-22-22-22-2-2-2-222000000002-22-22-22-2000000−i2i2−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000-22-2200000000i2−i2i2−i200
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χ1074-4-444-4-444-4-400004−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+51−51+500−1+51−51−5−1−51+51+500000000−1+5−1−50000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000
χ1084-4-444-4-444-4-400004−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−51+51−500−1−51+51+5−1+51−51−500000000−1−5−1+50000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000000
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χ1144-4-444-4-44-4440000-4−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−51+51−5001+5−1−5−1−51−5−1+5−1+5000000001+51−500000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
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χ1164-4-4-4444-44-444-4-44-4−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+54-4−1−51+5−1−5−1+51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−500000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4444-44-44-444-4-4−1+5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1−5-44−1+51−5−1+5−1−51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+5000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4444-44-44-444-4-4−1−5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+5-44−1−51+5−1−5−1+51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−5000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
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χ1228-888-88-8-800000000−2−25−2+252+25−2−25−2−252+252−25−2+25−2+252−252+25−2−252−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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