Finite Group Databasebeta

← Group #14437772

Character table — Group #14437772

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222222224444444444448888888888101010101010101040402222444444444444448888888888881616161616161616161620202020202020208080333366666666666666121212121212121212121212242424242424242424243030303030303030120120
order122244444455101010101010202020202020202020202020442020202020202020888888882436661212121212121515303030303030606060606060606060606060121260606060606060602424242424242424612222244444410101010101010102020202020202020202020204420202020202020208888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1
χ61111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11
χ71111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11
χ81111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1
χ92222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5200000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5200000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−520000000000
χ102222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000002222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+520000000000
χ112222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+5200000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+5200000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+520000000000
χ122222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−5200000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−5200000000002222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−520000000000
χ13222222-2-2-2-222222222-2-2-2-222-2-222-2-200000000000000000000222222-2-2-2-222222222-2-2-2-222-2-222-2-200000000000000000000222222-2-2-2-222222222-2-2-2-222-2-222-2-200000000000000000000
χ14222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ15222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ16222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ17222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ182222-2-222-2-222222222-2-2-2-2-2-222-2-222000000000000000000002222-2-222-2-222222222-2-2-2-2-2-222-2-222000000000000000000002222-2-222-2-222222222-2-2-2-2-2-222-2-22200000000000000000000
χ192222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ202222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000002222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ212222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ222222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000002222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ232222-2-2-2-222−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000002222-2-2-2-222−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000002222-2-2-2-222−1+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+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ242222-2-2-2-222−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000002222-2-2-2-222−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000002222-2-2-2-222−1+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+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ252222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000002222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000002222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ262222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000002222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000002222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ2722-2-2002i−2i0022-2-22-22-20000002i−2i002i−2i000000000022−2−2i2i2−i2−i20022-2-2002i−2i0022-2-22-22-20000002i−2i002i−2i000000000022−2−2i2i2−i2−i20022-2-2002i−2i0022-2-22-22-20000002i−2i002i−2i000000000022−2−2i2i2−i2−i200
χ2822-2-2002i−2i0022-2-22-22-20000002i−2i002i−2i0000000000−2−222−i2−i2i2i20022-2-2002i−2i0022-2-22-22-20000002i−2i002i−2i0000000000−2−222−i2−i2i2i20022-2-2002i−2i0022-2-22-22-20000002i−2i002i−2i0000000000−2−222−i2−i2i2i200
χ2922-2-200−2i2i0022-2-22-22-2000000−2i2i00−2i2i000000000022−2−2−i2−i2i2i20022-2-200−2i2i0022-2-22-22-2000000−2i2i00−2i2i000000000022−2−2−i2−i2i2i20022-2-200−2i2i0022-2-22-22-2000000−2i2i00−2i2i000000000022−2−2−i2−i2i2i200
χ3022-2-200−2i2i0022-2-22-22-2000000−2i2i00−2i2i0000000000−2−222i2i2−i2−i20022-2-200−2i2i0022-2-22-22-2000000−2i2i00−2i2i0000000000−2−222i2i2−i2−i20022-2-200−2i2i0022-2-22-22-2000000−2i2i00−2i2i0000000000−2−222i2i2−i2−i200
χ312-22-22i−2i000022-2-2-22-2200002i−2i002i−2i000000000000i2−i2i2−i22−22−2002-22-22i−2i000022-2-2-22-2200002i−2i002i−2i000000000000i2−i2i2−i22−22−2002-22-22i−2i000022-2-2-22-2200002i−2i002i−2i000000000000i2−i2i2−i22−22−200
χ322-22-22i−2i000022-2-2-22-2200002i−2i002i−2i000000000000−i2i2−i2i2−22−22002-22-22i−2i000022-2-2-22-2200002i−2i002i−2i000000000000−i2i2−i2i2−22−22002-22-22i−2i000022-2-2-22-2200002i−2i002i−2i000000000000−i2i2−i2i2−22−2200
χ332-22-2−2i2i000022-2-2-22-220000−2i2i00−2i2i000000000000i2−i2i2−i2−22−22002-22-2−2i2i000022-2-2-22-220000−2i2i00−2i2i000000000000i2−i2i2−i2−22−22002-22-2−2i2i000022-2-2-22-220000−2i2i00−2i2i000000000000i2−i2i2−i2−22−2200
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χ1124444444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5-4-41+51+51−51−51+51+51−51−50000000000-2-2-2-2-2-2-2-2-2-21+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+52000000000000000000000000000000000000000000000000000000000000
χ113444444-4-4-4-444444444-4-4-4-444-4-444-4-400000000000000000000-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000
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χ1184444-4-444-4-444444444-4-4-4-4-4-444-4-44400000000000000000000-2-2-2-222-2-222-2-2-2-2-2-2-2-2222222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1194444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000-2-2-2-222-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000000000000000000000000000000000000000000000
χ1204444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−500−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000-2-2-2-222-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000000000000000000000000000000000000000000000
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χ1234444-4-4-4-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+54-4−1+5−1+5−1−5−1−51−51−51+51+50000000000-2-2-2-22222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000000000000000000000
χ1244444-4-4-4-444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5-441−51−51+51+5−1+5−1+5−1−5−1−50000000000-2-2-2-22222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000000000000000000000000000000
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χ13988-8-8008i−8i00−2+25−2−252−252+25−2+252−25−2−252+25000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ1400000000000000000000-4-44400−4i4i001−51+5−1+5−1−51−5−1+51+5−1−50000002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000000000000000000000000000
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χ14188-8-800−8i8i00−2+25−2−252−252+25−2+252−25−2−252+250000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ1400000000000000000000-4-444004i−4i001−51+5−1+5−1−51−5−1+51+5−1−5000000−2ζ22−2ζ382ζ22+2ζ3800−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-800−8i8i00−2−25−2+252+252−25−2−252+25−2+252−250000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ3800000000000000000000-4-444004i−4i001+51−5−1−5−1+51+5−1−51−5−1+5000000−2ζ6−2ζ142ζ6+2ζ1400−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-88i−8i0000−2+25−2−252−252+252−25−2+252+25−2−250000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ140000000000000000000000-44-44−4i4i00001−51+5−1+5−1−5−1+51−5−1−51+500002ζ22+2ζ38−2ζ22−2ζ38002ζ6+2ζ14−2ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000000000000000
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χ1478-8-8800008-8−2+25−2−25−2+25−2−252−252−252+252+25−2+252−25−2−252+250000000000000000000000000000-444-40000-441−51+51−51+5−1+5−1+5−1−5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1498-8-880000-88−2+25−2−25−2+25−2−252−252−252+252+252−25−2+252+25−2−250000000000000000000000000000-444-400004-41−51+51−51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-880000-88−2−25−2+25−2−25−2+252+252+252−252−252+25−2−252−25−2+250000000000000000000000000000-444-400004-41+51−51+51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000

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