Finite Group Databasebeta

← Group #13101708

Character table — Group #13101708

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size11112222222222222222224444444444444444444444448888888888888888888888888888888881010202020202020202020202020202020202020202020404040404040404040100100100100
order12224455551010101010101010101010105555101010101010101010101010202020202020202021010101010101010101010101010101010101010101010102020202020202020224448810101010202020204040404040404040420202020202020204488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1
χ922222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522220000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000002−1+52−1+52−1−52−1−5200000000
χ1022222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-200001−521−521+521+521−521−521+521+5200000000-21−521−521+521+5200000000
χ1122222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-21−521−521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522220000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-21−521−521+521+5200000000
χ1222222222−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-21−521−521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-200001−521−521+521+521−521−521+521+52000000002−1+52−1+52−1−52−1−5200000000
χ1322222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000002−1−52−1−52−1+52−1+5200000000
χ1422222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-200001+521+521−521−521+521+521−521−5200000000-21+521+521−521−5200000000
χ1522222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+522222-2-2-2-2-21+521+521−521−521+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+522220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-21+521+521−521−5200000000
χ1622222222−1−52−1+522222−1−52−1+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+52−1−52−1−52−1+52−1+522222-2-2-2-2-21+521+521−521−521+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+52-2-2-200001+521+521−521−521+521+521−521−52000000002−1−52−1−52−1+52−1+5200000000
χ17222222−1+52−1−5222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000222200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000−1+52−1+52−1−52−1−520000
χ18222222−1+52−1−5222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000-2-2-2-2000000001−521−521−521−521+521+521+521+52000001−521−521+521+520000
χ19222222−1+52−1−5222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52-21−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200022-2-2000000001−521−521−521−521+521+521+521+5200000−1+52−1+52−1−52−1−520000
χ20222222−1+52−1−5222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52-21−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000-2-22200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000001−521−521+521+520000
χ21222222−1−52−1+5222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000222200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000−1−52−1−52−1+52−1+520000
χ22222222−1−52−1+5222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000-2-2-2-2000000001+521+521+521+521−521−521−521−52000001+521+521−521−520000
χ23222222−1−52−1+5222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52-21+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200022-2-2000000001+521+521+521+521−521−521−521−5200000−1−52−1−52−1+52−1+520000
χ24222222−1−52−1+5222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52-21+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000-2-22200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000001+521+521−521−520000
χ252222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000-2-2-2-2-2-2-2-222-200002222-2-2-2-2000000000000000000000
χ262222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000-2-2-2-2-2-2-2-2-2-220000-2-2-2-22222000000000000000000000
χ272222-2-222−1+52−1−522222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+5222-20000−1+52−1+52−1−52−1−521−521−521+521+52000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ282222-2-222−1+52−1−522222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521−521−521+521+521+521+52-2-2200001−521−521+521+52−1+52−1+52−1−52−1−52000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ292222-2-222−1+52−1−522222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+5222-20000−1+52−1+52−1−52−1−521−521−521+521+52000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ302222-2-222−1+52−1−522222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52-2-2200001−521−521+521+52−1+52−1+52−1−52−1−52000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ312222-2-222−1−52−1+522222−1−52−1+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+521+521+521−521−52-2-2-2-200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−5222-20000−1−52−1−52−1+52−1+521+521+521−521−52000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ322222-2-222−1−52−1+522222−1−52−1+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+521+521+521−521−52-2-2-2-200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521+521+521−521−521−521−52-2-2200001+521+521−521−52−1−52−1−52−1+52−1+52000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ332222-2-222−1−52−1+522222−1−52−1+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+521+521+521−521−52-2-2-2-200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−5222-20000−1−52−1−52−1+52−1+521+521+521−521−52000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ342222-2-222−1−52−1+522222−1−52−1+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+521+521+521−521−52-2-2-2-200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52-2-2200001+521+521−521−52−1−52−1−52−1+52−1+52000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ352-22-20022222-22-2-2-2-2-222-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000002-2000i2−i22-22-20000i2i2−i2−i2i2i2−i2−i200000000000i2−i2
χ362-22-20022222-22-2-2-2-2-222-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000002-2000−i2i22-22-20000−i2−i2i2i2−i2−i2i2i200000000000−i2i2
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χ7544-4-400−1+5−1−5441−5−1+51+5−1−544-4-4-4-41−51+5−1+5−1−5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+51−51+500000000000000000000000000000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ390000000000000
χ7644-4-400−1−5−1+5441+5−1−51−5−1+544-4-4-4-41+51−5−1−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000
χ7744-4-400−1−5−1+5441+5−1−51−5−1+544-4-4-4-41+51−5−1−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000
χ784-44-40044−1+5−1−54-44-41−51+51−51+5−1+5−1−5-4-4−1+5−1+5−1−5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−51−51+51+5000000000000000000000000000000000000000004-400000−1+51−5−1−51+50000000000000000000000000
χ794-44-40044−1+5−1−54-44-41−51+51−51+5−1+5−1−5-4-4−1+5−1+5−1−5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−51−51+51+500000000000000000000000000000000000000000-44000001−5−1+51+5−1−50000000000000000000000000
χ804-44-40044−1−5−1+54-44-41+51−51+51−5−1−5−1+5-4-4−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−5000000000000000000000000000000000000000004-400000−1−51+5−1+51−50000000000000000000000000
χ814-44-40044−1−5−1+54-44-41+51−51+51−5−1−5−1+5-4-4−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−500000000000000000000000000000000000000000-44000001+5−1−51−5−1+50000000000000000000000000
χ824-44-400−1+5−1−544−1+51−5−1−51+5-4-4-4-4441−51+5−1+5−1−5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−51+500000000000000000000000000000000000000000000002i2−2i200000000ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ390000000000000
χ834-44-400−1+5−1−544−1+51−5−1−51+5-4-4-4-4441−51+5−1+5−1−5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−51+50000000000000000000000000000000000000000000000−2i22i200000000−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ390000000000000
χ844-44-400−1−5−1+544−1−51+5−1+51−5-4-4-4-4441+51−5−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−500000000000000000000000000000000000000000000002i2−2i200000000ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ370000000000000
χ854-44-400−1−5−1+544−1−51+5−1+51−5-4-4-4-4441+51−5−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−50000000000000000000000000000000000000000000000−2i22i200000000−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ370000000000000
χ864-4-444-444−1+5−1−5-4-4-4-41−51+5−1+5−1−51−51+544−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+5-4-4440000000000000000000000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000
χ874-4-444-444−1−5−1+5-4-4-4-41+51−5−1−5−1+51+51−544−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−5-4-4440000000000000000000000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000
χ884-4-444-4−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52−1+51−5−1−51+51−51+5−1+5−1−502ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ283−52−3+52-11-113+52−3−52000000000000000000000000000000000000
χ894-4-444-4−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52−1+51−5−1−51+51−51+5−1+5−1−50−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ283−52−3+52-11-113+52−3−52000000000000000000000000000000000000
χ904-4-444-4−1+5−1−5−1−5−1+51−51−51+51+51+51−5−1−5−1+51+51−5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1−1−51+5−1+51−51−51+5−1+5−1−502ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36-113+52−3−523−52−3+52-11000000000000000000000000000000000000
χ914-4-444-4−1+5−1−5−1−5−1+51−51−51+51+51+51−5−1−5−1+51+51−5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1−1−51+5−1+51−51−51+5−1+5−1−50−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36-113+52−3−523−52−3+52-11000000000000000000000000000000000000
χ924-4-444-4−1−5−1+5−1+5−1−51+51+51−51−51−51+5−1+5−1−51−51+5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1−1+51−5−1−51+51+51−5−1−5−1+50−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36-113−52−3+523+52−3−52-11000000000000000000000000000000000000
χ934-4-444-4−1−5−1+5−1+5−1−51+51+51−51−51−51+5−1+5−1−51−51+5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1−1+51−5−1−51+51+51−5−1−5−1+502ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36-113−52−3+523+52−3−52-11000000000000000000000000000000000000
χ944-4-444-4−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52−1−51+5−1+51−51+51−5−1−5−1+50−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ363+52−3−52-11-113−52−3+52000000000000000000000000000000000000
χ954-4-444-4−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52−1−51+5−1+51−51+51−5−1−5−1+502ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ363+52−3−52-11-113−52−3+52000000000000000000000000000000000000
χ964-4-44-4444−1+5−1−5-4-4-4-41−51+5−1+5−1−51−51+544−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−51−5−1+51+5−1−544-4-400000000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000
χ974-4-44-4444−1−5−1+5-4-4-4-41+51−5−1−5−1+51+51−544−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+51+5−1−51−5−1+544-4-400000000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000
χ984-4-44-44−1+5−1−5441−51−51+51+5-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−5-44-44−1+5−1−51−51+500000000000000000000000001−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000
χ994-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+521−5−1+51+5−1−5−1+5−1−51−51+50000000005+52−5−52−5−525+52−555−5−555−55−52−5+52−5+525−52−3+523−521-11-1−3−523+52000000000000000000000000000000000000
χ1004-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−51−51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+521−5−1+51+5−1−5−1+5−1−51−51+5000000000−5−525+525+52−5−525−5−555−5−55−5+525−525−52−5+52−3+523−521-11-1−3−523+52000000000000000000000000000000000000
χ1014-4-44-44−1+5−1−5−1−5−1+51−51−51+51+51+51−5−1−5−1+51+51−5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-11+5−1−51−5−1+5−1+5−1−51−51+50000000005−5−55−5+525−525−52−5+525+52−5−52−5−525+52−555−51-1−3−523+52−3+523−521-1000000000000000000000000000000000000
χ1024-4-44-44−1+5−1−5−1−5−1+51−51−51+51+51+51−5−1−5−1+51+51−5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-11+5−1−51−5−1+5−1+5−1−51−51+5000000000−555−55−52−5+52−5+525−52−5−525+525+52−5−525−5−551-1−3−523+52−3+523−521-1000000000000000000000000000000000000
χ1034-4-44-44−1−5−1+5441+51+51−51−5-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−1−5−1+5-44-44−1−5−1+51+51−500000000000000000000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000
χ1044-4-44-44−1−5−1+5−1+5−1−51+51+51−51−51−51+5−1+5−1−51−51+5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-11−5−1+51+5−1−5−1−5−1+51+51−50000000005−5−555+52−5−52−5−525+52−5+525−525−52−5+52−555−51-1−3+523−52−3−523+521-1000000000000000000000000000000000000
χ1054-4-44-44−1−5−1+5−1+5−1−51+51+51−51−51−51+5−1+5−1−51−51+5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-11−5−1+51+5−1−5−1−5−1+51+51−5000000000−555−5−5−525+525+52−5−525−52−5+52−5+525−525−5−551-1−3+523−52−3−523+521-1000000000000000000000000000000000000
χ1064-4-44-44−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−521+5−1−51−5−1+5−1−5−1+51+51−50000000005−52−5+52−5+525−525−5−555−5−555+52−5−52−5−525+52−3−523+521-11-1−3+523−52000000000000000000000000000000000000
χ1074-4-44-44−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+51+51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−521+5−1−51−5−1+5−1−5−1+51+51−5000000000−5+525−525−52−5+52−555−5−555−5−5−525+525+52−5−52−3−523+521-11-1−3+523−52000000000000000000000000000000000000
χ10888-8-800−2+25−2−25−2+25−2−252−25−2+252+25−2−25−2+25−2−252−252+252−252+252−252+253−5-2-23+5−3+53−52-22-2−3−53+5−3+522−3−500000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-800−2+25−2−25−2−25−2+252−25−2+252+25−2−25−2−25−2+252+252−252+252−252−252+25-23+53−5-22-2−3−53+5−3+53−52-22−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800−2−25−2+25−2+25−2−252+25−2−252−25−2+25−2+25−2−252−252+252−252+252+252−25-23−53+5-22-2−3+53−5−3−53+52-22−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-800−2−25−2+25−2−25−2+252+25−2−252−25−2+25−2−25−2+252+252−252+252−252+252−253+5-2-23−5−3−53+52-22-2−3+53−5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800−2+25−2−25−2+25−2−25−2+252−25−2−252+252−252+252−252+25−2+25−2−252−252+253−5-2-23+53−5−3+5-22-223+5−3−5−3+522−3−500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-800−2+25−2−25−2−25−2+25−2+252−25−2−252+252+252−252+252−25−2−25−2+252−252+25-23+53−5-2-223+5−3−53−5−3+5-222−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-800−2−25−2+25−2+25−2−25−2−252+25−2+252−252−252+252−252+25−2+25−2−252+252−25-23−53+5-2-223−5−3+53+5−3−5-222−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800−2−25−2+25−2−25−2+25−2−252+25−2+252−252+252−252+252−25−2−25−2+252+252−253+5-2-23−53+5−3−5-22-223−5−3+5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000000

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