Finite Group Databasebeta

← Group #12003887

Character table — Group #12003887

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
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
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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+52−1−52-2-2-2-222221−521−521−521−521−521−521−521−521+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+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+52−1−52-2-2-2-2-2-2-2-21−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+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+52-2-2-2-222221+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+52−1+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+52-2-2-2-2-2-2-2-21+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1+52−1+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
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χ182222222222-2-22-22-22222222222222222-2-2222-2-2-2-2222-2-2-2-222-2-2220000-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ192222222222-2-22-22-2−1+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+521−521−521−521−52−1−52−1−52−1−521+521+521+521+52−1+52−1−5222-2-20000−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+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
χ202222222222-2-22-22-2−1+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+521−521−521−521−52−1−52−1−52−1−521+521+521+521+52−1+52−1−5222-2-20000−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+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
χ212222222222-2-22-22-2−1+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+521−521−521−521−52−1−52−1−52−1−521+521+521+521+52−1+52−1−52-2-22200001−521−521−521−52−1+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−ζ3600−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000000000
χ222222222222-2-22-22-2−1+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+521−521−521−521−52−1−52−1−52−1−521+521+521+521+52−1+52−1−52-2-22200001−521−521−521−52−1+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+ζ3600ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000000000
χ232222222222-2-22-22-2−1−52−1+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+52-2-2−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+521−521−521−521−52−1−52−1+5222-2-20000−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−521+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
χ242222222222-2-22-22-2−1−52−1+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+52-2-2−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+521−521−521−521−52−1−52−1+5222-2-20000−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−521+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
χ252222222222-2-22-22-2−1−52−1+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+52-2-2−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+521−521−521−521−52−1−52−1+52-2-22200001+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−ζ2800ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000000000
χ262222222222-2-22-22-2−1−52−1+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+52-2-2−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+521−521−521−521−52−1−52−1+52-2-22200001+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+ζ2800−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000000000
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χ2822222222-2-222-22-222222222222222222-2-2-2-2-22222-2-2-22222-2-2000000000000000000000000-2-2-2-200000000000000000000000000-2-2-2-222220000000000
χ2922222222-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222000000000000000000000000000000000000002i2i−2i−2i00
χ3022222222-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222200000000000000000000000000000000000000−2i−2i2i2i00
χ31222-2-2-2-22002-20-2022222222-22-2-2-2-2-2-2-20000022-2-200022-2-200000022−2−20000000000000000000022−2−222−2−222−2−222−2−200000000002i2i−2i−2i0000i2i2−i2−i2000000
χ32222-2-2-2-22002-20-2022222222-22-2-2-2-2-2-2-20000022-2-200022-2-200000022−2−20000000000000000000022−2−222−2−222−2−222−2−20000000000−2i−2i2i2i0000−i2−i2i2i2000000
χ33222-2-2-2-22002-20-2022222222-22-2-2-2-2-2-2-20000022-2-200022-2-2000000−2−22200000000000000000000−2−222−2−222−2−222−2−22200000000002i2i−2i−2i0000−i2−i2i2i2000000
χ34222-2-2-2-22002-20-2022222222-22-2-2-2-2-2-2-20000022-2-200022-2-2000000−2−22200000000000000000000−2−222−2−222−2−222−2−2220000000000−2i−2i2i2i0000i2i2−i2−i2000000
χ352-222-2-22-22222-2-2-2-222-2-2-2-22222-2-2-2-2222-222-22-22-222-22-22-2-2-20000000000000000000000002-22-200000000000000002-22-22-22-22-2000000000000000000
χ362-222-2-22-22222-2-2-2-222-2-2-2-22222-2-2-2-2222-222-22-22-222-22-22-2-2-20000000000000000000000002-22-20000000000000000-22-22-22-22-22000000000000000000
χ372-222-2-22-22222-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+521−52−1+521−52−1+521−52−1−52−1−521+52−1−521+52−1−521+521−521+5200000000−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ142-2−1+521−52−1+521−52−1−521+52−1−521+52000000000000000000
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χ9444-4-44-44-40000000044-44-44-4-4-4-44-44-44400000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
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χ964-444-4-44-4-4-4444-44-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1−5-441−51−5−1+5−1+51−5−1+51−51+51+5−1−5−1−51+5−1−51+5−1+5−1−50000000000000000000000001−5−1+51+5−1−500000000000000000000000000000000000000000000
χ974-444-4-44-4-4-4444-44-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1+5-441+51+5−1−5−1−51+5−1−51+51−51−5−1+5−1+51−5−1+51−5−1−5−1+50000000000000000000000001+5−1−51−5−1+500000000000000000000000000000000000000000000
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χ1014-44-444-4-4004-4040-4−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+500000−1+51−51−5−1+5000−1−51+51+5−1−5000000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000000000000000000
χ1024-44-444-4-4004-4040-4−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+500000−1+51−51−5−1+5000−1−51+51+5−1−5000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000000000
χ1034-44-444-4-4004-4040-4−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−500000−1−51+51+5−1−5000−1+51−51−5−1+5000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000
χ1044-44-444-4-4004-4040-4−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−500000−1−51+51+5−1−5000−1+51−51−5−1+5000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000
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χ1064-44-444-4-400-440-404−1+5−1−51−51−51+51+5−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51+5000001−5−1+5−1+51−50001+5−1−5−1−51+5000000−2i22i22i2−2i200000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000000
χ1074-44-444-4-400-440-404−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−5000001+5−1−5−1−51+50001−5−1+5−1+51−50000002i2−2i2−2i22i200000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000
χ1084-44-444-4-400-440-404−1−5−1+51+51+51−51−5−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51−5000001+5−1−5−1−51+50001−5−1+5−1+51−5000000−2i22i22i2−2i200000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000
χ1094-4-444-4-444-40040-40−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+51−51+500−1+51−51−50000−1−51+51+50000−1+5−1−5004i−4i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14000000000000000000000000000000000000000000000000
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χ1124-4-444-4-444-40040-40−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−51+51−500−1−51+51+50000−1+51−51−50000−1−5−1+500−4i4i000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1134-4-444-4-44-4400-4040−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+51−51+5001−5−1+5−1+500001+5−1−5−1−500001−51+54-4000000−1+51−5−1+51−50000−1−51+5−1−51+50000000000000000000000000000000000000000000000000000
χ1144-4-444-4-44-4400-4040−1+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+51−51+5001−5−1+5−1+500001+5−1−5−1−500001−51+5-440000001−5−1+51−5−1+500001+5−1−51+5−1−50000000000000000000000000000000000000000000000000000
χ1154-4-444-4-44-4400-4040−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−51+51−5001+5−1−5−1−500001−5−1+5−1+500001+51−54-4000000−1−51+5−1−51+50000−1+51−5−1+51−50000000000000000000000000000000000000000000000000000
χ1164-4-444-4-44-4400-4040−1−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−51+51−5001+5−1−5−1−500001−5−1+5−1+500001+51−5-440000001+5−1−51+5−1−500001−5−1+51−5−1+50000000000000000000000000000000000000000000000000000
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χ1218-8-8-8-888800000000−2+25−2−25−2+252−25−2−252+252−252−252+252+252−25−2+252+25−2−25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8-8-888800000000−2−25−2+25−2−252+25−2+252−252+252+252−252−252+25−2−252−25−2+25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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