Finite Group Databasebeta

← Group #13101785

Character table — Group #13101785

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size11112222222222222222224444444444444444444444448888888888888888888888888888888881010101010101010202020202020202020202020202020204040404040404040404050505050200
order12224455551010101010101010101010105555101010101010101010101010202020202020202042020202020202020202020202020202020202020202020202020202020202020444488882020202020202020404040404040404024101010102020202088882
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-1-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1
χ922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−522−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000222200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5220−1+52−1+52−1−52−1−52000000000
χ1022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−522−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000-2-2-2-2000000001−521−521−521−521+521+521+521+52-201−521−521+521+52000000000
χ1122222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52-21−521−521+521+52-2-2-2-2−1+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+520000222200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-201−521−521+521+52000000000
χ1222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52-21−521−521+521+52-2-2-2-2−1+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+520000-2-2-2-2000000001−521−521−521−521+521+521+521+5220−1+52−1+52−1−52−1−52000000000
χ1322222222−1−52−1+52−1−52−1−52−1+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+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+520000222200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5220−1−52−1−52−1+52−1+52000000000
χ1422222222−1−52−1+52−1−52−1−52−1+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+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+520000-2-2-2-2000000001+521+521+521+521−521−521−521−52-201+521+521−521−52000000000
χ1522222222−1−52−1+52−1−52−1−52−1+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+52-21+521+521−521−52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000222200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-201+521+521−521−52000000000
χ1622222222−1−52−1+52−1−52−1−52−1+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+52-21+521+521−521−52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000-2-2-2-2000000001+521+521+521+521−521−521−521−5220−1−52−1−52−1+52−1+52000000000
χ17222222−1+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+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222220000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000020000−1+52−1+52−1−52−1−5200000
χ18222222−1+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+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-200001−521−521−521−521+521+521+521+52000000000-200001−521−521+521+5200000
χ19222222−1+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+52−1−5222−1+52−1+52−1−52−1−5222-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+5222220000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000-200001−521−521+521+5200000
χ20222222−1+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+52−1−5222−1+52−1+52−1−52−1−5222-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+52-2-2-2-200001−521−521−521−521+521+521+521+5200000000020000−1+52−1+52−1−52−1−5200000
χ21222222−1−52−1+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+5222−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222220000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000020000−1−52−1−52−1+52−1+5200000
χ22222222−1−52−1+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+5222−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-200001+521+521+521+521−521−521−521−52000000000-200001+521+521−521−5200000
χ23222222−1−52−1+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+5222−1−52−1−52−1+52−1+5222-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222220000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000-200001+521+521−521−5200000
χ24222222−1−52−1+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+5222−1−52−1−52−1+52−1+5222-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-200001+521+521+521+521−521−521−521−5200000000020000−1−52−1−52−1+52−1+5200000
χ252222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2000000000-2-2-2-2-2-2-2-2000000000000000022-2-2000022-2-222-2-200000000000000000000000
χ262222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2000000000-2-2-2-2-2-2-2-20000000000000000-2-2220000-2-222-2-22200000000000000000000000
χ272222-2-2−1+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+52−1−52-2-21−521−521+521+52-2-200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+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−ζ3622-2-20000−1+52−1+521−521−52−1−52−1−521+521+5200000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000
χ282222-2-2−1+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+52−1−52-2-21−521−521+521+52-2-200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+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−ζ36-2-22200001−521−52−1+52−1+521+521+52−1−52−1−5200000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000
χ292222-2-2−1+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+52−1−52-2-21−521−521+521+52-2-200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+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+ζ3622-2-20000−1+52−1+521−521−52−1−52−1−521+521+5200000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000
χ302222-2-2−1+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+52−1−52-2-21−521−521+521+52-2-200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+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+ζ36-2-22200001−521−52−1+52−1+521+521+52−1−52−1−5200000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000
χ312222-2-2−1−52−1+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+52-2-21+521+521−521−52-2-200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+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−ζ2822-2-20000−1−52−1−521+521+52−1+52−1+521−521−5200000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000
χ322222-2-2−1−52−1+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+52-2-21+521+521−521−52-2-200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+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−ζ28-2-22200001+521+52−1−52−1−521−521−52−1+52−1+5200000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000
χ332222-2-2−1−52−1+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+52-2-21+521+521−521−52-2-200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+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+ζ2822-2-20000−1−52−1−521+521+52−1+52−1+521−521−5200000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000
χ342222-2-2−1−52−1+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+52-2-21+521+521−521−52-2-200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+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+ζ28-2-22200001+521+52−1−52−1−521−521−52−1+52−1+5200000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000
χ3522-2-20022222-22-2-2-22-22-2-2-222222-22-22-22-2-2-2-2-200000000000000000000000000000000000000000002-2i2i2−i2−i2002-2002-2i2i2−i2−i2i2i2−i2−i20000000000i2i2−i2−i20
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χ7544-4-40044−1−5−1+5−1−51+5−1+51−51+51−54-44-4-4-4−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−50000000000000000000000000000000000000000000002i22i2−2i2−2i200000000ζ21+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−ζ37000000000000000
χ7644-4-40044−1−5−1+5−1−51+5−1+51−51+51−54-44-4-4-4−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+51+51−51−5000000000000000000000000000000000000000000000−2i2−2i22i22i200000000−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+ζ37000000000000000
χ7744-4-400−1+5−1−5444-44-4-4-4−1+51−5−1−51+51−51+5−1+5−1−5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−51+500000000000000000000000000000000000000000004-4000000−1+51−500−1−51+500000000000000000000000
χ7844-4-400−1+5−1−5444-44-4-4-4−1+51−5−1−51+51−51+5−1+5−1−5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−51+50000000000000000000000000000000000000000000-440000001−5−1+5001+5−1−500000000000000000000000
χ7944-4-400−1−5−1+5444-44-4-4-4−1−51+5−1+51−51+51−5−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−500000000000000000000000000000000000000000004-4000000−1−51+500−1+51−500000000000000000000000
χ8044-4-400−1−5−1+5444-44-4-4-4−1−51+5−1+51−51+51−5−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−50000000000000000000000000000000000000000000-440000001+5−1−5001−5−1+500000000000000000000000
χ814-44-40044−1+5−1−51−5−1+51+5−1−51−51+5-44-44-4-4−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−51−51+51+50000000000000000000000000000000000000000000002i2−2i22i2−2i200000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000
χ824-44-40044−1+5−1−51−5−1+51+5−1−51−51+5-44-44-4-4−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−51−51+51+5000000000000000000000000000000000000000000000−2i22i2−2i22i200000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000
χ834-44-40044−1−5−1+51+5−1−51−5−1+51+51−5-44-44-4-4−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−50000000000000000000000000000000000000000000002i2−2i22i2−2i200000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000
χ844-44-40044−1−5−1+51+5−1−51−5−1+51+51−5-44-44-4-4−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−5000000000000000000000000000000000000000000000−2i22i2−2i22i200000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000
χ854-44-400−1+5−1−544-44-44-4-41−5−1+51+5−1−51−51+5−1+5−1−5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+51−51+5000000000000000000000000000000000000000004-4000000−1+51−500−1−51+50000000000000000000000000
χ864-44-400−1+5−1−544-44-44-4-41−5−1+51+5−1−51−51+5−1+5−1−5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+51−51+500000000000000000000000000000000000000000-440000001−5−1+5001+5−1−50000000000000000000000000
χ874-44-400−1−5−1+544-44-44-4-41+5−1−51−5−1+51+51−5−1−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+51−5000000000000000000000000000000000000000004-4000000−1−51+500−1+51−50000000000000000000000000
χ884-44-400−1−5−1+544-44-44-4-41+5−1−51−5−1+51+51−5−1−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+51−500000000000000000000000000000000000000000-440000001+5−1−5001−5−1+50000000000000000000000000
χ894-4-444-4−1+5−1−544-4-4-4-4441−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−5-4-4−1+51−5−1−51+544000000000−1+51−5−1−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000
χ904-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+521−51+5−1+51−5−1−51+5−1+5−1−502ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600003−52−3+52-11-113+52−3−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+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+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000000000000000000000000000000
χ914-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+521−51+5−1+51−5−1−51+5−1+5−1−50−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600003−52−3+52-11-113+52−3−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−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−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000000000000000000000000000000
χ924-4-444-4−1+5−1−5−1−5−1+51+51+51−51−5−1−5−1+51−51−51+51+5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-11+51−5−1+51−5−1−51+5−1−5−1+50−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000-113+52−3−523−52−3+52-11ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36000000000000000000000000000000000000000
χ934-4-444-4−1+5−1−5−1−5−1+51+51+51−51−5−1−5−1+51−51−51+51+5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-11+51−5−1+51−5−1−51+5−1−5−1+502ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000-113+52−3−523−52−3+52-11−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36000000000000000000000000000000000000000
χ944-4-444-4−1−5−1+544-4-4-4-4441+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−1−5−1+5-4-4−1−51+5−1+51−544000000000−1−51+5−1+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000
χ954-4-444-4−1−5−1+5−1+5−1−51−51−51+51+5−1+5−1−51+51+51−51−5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-11−51+5−1−51+5−1+51−5−1+5−1−502ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000-113−52−3+523+52−3−52-11−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36000000000000000000000000000000000000000
χ964-4-444-4−1−5−1+5−1+5−1−51−51−51+51+5−1+5−1−51+51+51−51−5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-11−51+5−1−51+5−1+51−5−1+5−1−50−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000-113−52−3+523+52−3−52-11ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36000000000000000000000000000000000000000
χ974-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−521+51−5−1−51+5−1+51−5−1−5−1+50−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800003+52−3−52-11-113−52−3+52ζ12−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−ζ36000000000000000000000000000000000000000
χ984-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−521+51−5−1−51+5−1+51−5−1−5−1+502ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800003+52−3−52-11-113−52−3+52−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+ζ36000000000000000000000000000000000000000
χ994-4-44-4444−1+5−1−51−51−51+51+5−1+5−1−5-4-4-4-444−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+5−1+5−1+5−1−5−1−5−1+5−1−5-44-441−51+50000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000000000000
χ1004-4-44-4444−1−5−1+51+51+51−51−5−1−5−1+5-4-4-4-444−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−5−1−5−1−5−1+5−1+5−1−5−1+5-44-441+51−50000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000000000000
χ1014-4-44-44−1+5−1−544-4-4-4-4441−51−51+51+5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−5441−5−1+51+5−1−5-4-40000000001−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000
χ1024-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52−1+5−1−51−5−1+51+5−1−51−51+5000000000−3+523−521-11-1−3−523+525+52−5−52−5−525+52−555−5−555−55−52−5+52−5+525−52000000000000000000000000000000000000000
χ1034-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1−53−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52−1+5−1−51−5−1+51+5−1−51−51+5000000000−3+523−521-11-1−3−523+52−5−525+525+52−5−525−5−555−5−55−5+525−525−52−5+52000000000000000000000000000000000000000
χ1044-4-44-44−1+5−1−5−1−5−1+51+51+51−51−5−1−5−1+51−51−51+51+5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1−1−5−1+51−5−1+51+5−1−51+51−50000000001-1−3−523+52−3+523−521-15−5−55−5+525−525−52−5+525+52−5−52−5−525+52−555−5000000000000000000000000000000000000000
χ1054-4-44-44−1+5−1−5−1−5−1+51+51+51−51−5−1−5−1+51−51−51+51+5−1+5−1−5-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1−1−5−1+51−5−1+51+5−1−51+51−50000000001-1−3−523+52−3+523−521-1−555−55−52−5+52−5+525−52−5−525+525+52−5−525−5−55000000000000000000000000000000000000000
χ1064-4-44-44−1−5−1+544-4-4-4-4441+51+51−51−5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−1−5−1+5441+5−1−51−5−1+5-4-40000000001+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000
χ1074-4-44-44−1−5−1+5−1+5−1−51−51−51+51+5−1+5−1−51+51+51−51−5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1−1+5−1−51+5−1−51−5−1+51−51+50000000001-1−3+523−52−3−523+521-15−5−555+52−5−52−5−525+52−5+525−525−52−5+52−555−5000000000000000000000000000000000000000
χ1084-4-44-44−1−5−1+5−1+5−1−51−51−51+51+5−1+5−1−51+51+51−51−5−1−5−1+5-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1−1+5−1−51+5−1−51−5−1+51−51+50000000001-1−3+523−52−3−523+521-1−555−5−5−525+525+52−5−525−52−5+52−5+525−525−5−55000000000000000000000000000000000000000
χ1094-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52−1−5−1+51+5−1−51−5−1+51+51−5000000000−3−523+521-11-1−3+523−525−52−5+52−5+525−525−5−555−5−555+52−5−52−5−525+52000000000000000000000000000000000000000
χ1104-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1+53+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52−1−5−1+51+5−1−51−5−1+51+51−5000000000−3−523+521-11-1−3+523−52−5+525−525−52−5+52−555−5−555−5−5−525+525+52−5−52000000000000000000000000000000000000000
χ11188-8-800−2+25−2−25−2+25−2−25−2+252−25−2−252+252−252+25−2+252−25−2−252+252−252+253−5-2-23+53−5−3+5-22-223+5−3−5−3+522−3−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800−2+25−2−25−2−25−2+25−2−252+25−2+252−252+252−25−2+252−25−2−252+252−252+25-23+53−5-2-223+5−3−53−5−3+5-222−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800−2−25−2+25−2+25−2−25−2+252−25−2−252+252−252+25−2−252+25−2+252−252+252−25-23−53+5-2-223−5−3+53+5−3−5-222−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800−2−25−2+25−2−25−2+25−2−252+25−2+252−252+252−25−2−252+25−2+252−252+252−253+5-2-23−53+5−3−5-22-223−5−3+5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800−2+25−2−25−2+25−2−252−25−2+252+25−2−252−252+252−25−2+252+25−2−252−252+253−5-2-23+5−3+53−52-22-2−3−53+5−3+522−3−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800−2+25−2−25−2−25−2+252+25−2−252−25−2+252+252−252−25−2+252+25−2−252−252+25-23+53−5-22-2−3−53+5−3+53−52-22−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800−2−25−2+25−2+25−2−252−25−2+252+25−2−252−252+252+25−2−252−25−2+252+252−25-23−53+5-22-2−3+53−5−3−53+52-22−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800−2−25−2+25−2−25−2+252+25−2−252−25−2+252+252−252+25−2−252−25−2+252+252−253+5-2-23−5−3−53+52-22-2−3+53−5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000000000

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