Finite Group Databasebeta

← Group #13101792

Character table — Group #13101792

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127
size11112222222222222222224444444444444444444444444444444444888888888888888888888888888810101010101010101010202020202020202020202020202020202020202020202020204040404040100100200
order12224455551010101010101010101010104455551010101010101010101010102020202020202020202020202020202020202020202020202020202020202020202020202020202020202020442020202020202020444882020202020202020202020204040404040404040420202020884
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ61111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-11
χ81111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1
χ922222222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222200−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ1022222222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52-2-2-2001−521−521+521+521−521−521−521−521+521+521+521+520000000000000000
χ1122222222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+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+522222-2-2-2-2−1+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+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-200−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000000000000000
χ1222222222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−52-2-2−1+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+522222-2-2-2-2−1+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+52-2-21−521−521−521−521+521+521+521+52-222001−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ1322222222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+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+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222200−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
χ1422222222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+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+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+52-2-21+521+521+521+521−521−521−521−52-2-2-2001+521+521−521−521+521+521+521+521−521−521−521−520000000000000000
χ1522222222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1−52−1+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+521−521−521−521−522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-200−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000
χ1622222222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+52-2-2−1−52−1−52−1+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+521−521−521−521−522222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521+521+521−521−521−521−52-222001+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
χ17222222−1+52−1−5222−1+52−1+52−1−52−1−522222−1+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+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000022000000000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52000
χ18222222−1+52−1−5222−1+52−1+52−1−52−1−522222−1+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+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000-2-20000000000001−521−521−521−521+521+521+521+52-21−521−521+521+52000
χ19222222−1+52−1−5222−1+52−1+52−1−52−1−522222−1+52−1−5222-2-2−1+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+52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+52000000000000022000000000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+52000
χ20222222−1+52−1−5222−1+52−1+52−1−52−1−522222−1+52−1−5222-2-2−1+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+52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+520000000000000-2-20000000000001−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52000
χ21222222−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+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+52222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000022000000000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+52000
χ22222222−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+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+52222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000-2-20000000000001+521+521+521+521−521−521−521−52-21+521+521−521−52000
χ23222222−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+5222-2-2−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+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+521−521−521−521−52000000000000022000000000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−52000
χ24222222−1−52−1+5222−1−52−1−52−1+52−1+522222−1−52−1+5222-2-2−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+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+521−521−521−521−520000000000000-2-20000000000001+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52000
χ252222-2-22222222222222222002222222222222222-2-2-2-200000000-2-2-2-20000-2-2-2-2-2-2-2-200000000000000002222222222-20000-2-2-2-2000000000000000000000000
χ262222-2-22222222222222222002222222222222222-2-2-2-200000000-2-2-2-20000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2200002222000000000000000000000000
χ272222-2-222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−5200−1+52−1+52−1−52−1−52−1+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+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-2-2-2-200001−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3622−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-200001−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000000000
χ282222-2-222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−5200−1+52−1+52−1−52−1−52−1+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+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-2-2-2-200001−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-2-21−521−521−521−521+521+521+521+5220000−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000000000
χ292222-2-222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−5200−1+52−1+52−1−52−1−52−1+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-2-2-2-200001−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3622−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-200001−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000000000
χ302222-2-222−1+52−1−522222−1+52−1−52−1+52−1−5222−1+52−1−5200−1+52−1+52−1−52−1−52−1+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-2-2-2-200001−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-2-21−521−521−521−521+521+521+521+5220000−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000000000
χ312222-2-222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+5200−1−52−1−52−1+52−1+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−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-2-2-2-200001+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2822−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-200001+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000000000
χ322222-2-222−1−52−1+522222−1−52−1+52−1−52−1+5222−1−52−1+5200−1−52−1−52−1+52−1+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−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-2-2-2-200001+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-2-21+521+521+521+521−521−521−521−5220000−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000000000
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χ9144-4-400−1−5−1+544−1−51+5−1+51−5-4-4441+51−5-4-400−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−500000000000000000000000000000000000000000000000000000000022−22000000000000ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ3700000000
χ9244-4-400−1−5−1+544−1−51+5−1+51−5-4-4441+51−5-4-400−1−5−1+5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+51−5000000000000000000000000000000000000000000000000000000000−2222000000000000−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ3700000000
χ934-44-4004444-44-44-4-4-4-4-4-444004444-44-44-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-40044−1+5−1−5-44-441−51+51−51+5-4-4−1+5−1−500−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−51−51+51+50000000000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000
χ954-44-40044−1+5−1−5-44-441−51+51−51+5-4-4−1+5−1−500−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−51−51+51+500000000000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000
χ964-44-40044−1−5−1+5-44-441+51−51+51−5-4-4−1−5−1+500−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−500000000000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000
χ974-44-40044−1−5−1+5-44-441+51−51+51−5-4-4−1−5−1+500−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+51+51−51−50000000000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000
χ984-44-400−1+5−1−5441−5−1+51+5−1−5-4-4-4-41−51+54400−1+5−1−5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+51−51+500000000000000000000000000000000000000000000000000000000000000000000000−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+ζ3900000000
χ994-44-400−1+5−1−5441−5−1+51+5−1−5-4-4-4-41−51+54400−1+5−1−5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+51−51+500000000000000000000000000000000000000000000000000000000000000000000000ζ7+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−ζ3900000000
χ1004-44-400−1−5−1+5441+5−1−51−5−1+5-4-4-4-41+51−54400−1−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000000000000000000−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+ζ3700000000
χ1014-44-400−1−5−1+5441+5−1−51−5−1+5-4-4-4-41+51−54400−1−5−1+5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+51−500000000000000000000000000000000000000000000000000000000000000000000000ζ21−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−ζ3700000000
χ1024-4-444-4−1+5−1−5441−51−51+51+544-4-4−1+5−1−5-4-400−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−5−1+5−1−54-44-400000000−1+5−1−51−51+50000−1+51−5−1−51+5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000
χ1034-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−51+5003−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52−1+51−5−1−51+52ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−1+5−1−51−51+500003−52−3+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+ζ280000000000000000000000000000000000000000000
χ1044-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−51+5003−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+52−1+51−5−1−51+5−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36−1+5−1−51−51+500003−52−3+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−ζ280000000000000000000000000000000000000000000
χ1054-4-444-4−1+5−1−5−1−5−1+51−51−51+51+5−1−5−1+51+51−5−1+5−1−51+51−500-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1−1−51+5−1+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−1+5−1−51−51+50000-113+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+ζ360000000000000000000000000000000000000000000
χ1064-4-444-4−1+5−1−5−1−5−1+51−51−51+51+5−1−5−1+51+51−5−1+5−1−51+51−500-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-1−1−51+5−1+51−52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−1+5−1−51−51+50000-113+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−ζ360000000000000000000000000000000000000000000
χ1074-4-444-4−1−5−1+5441+51+51−51−544-4-4−1−5−1+5-4-400−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+5−1−5−1+54-44-400000000−1−5−1+51+51−50000−1−51+5−1+51−5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000
χ1084-4-444-4−1−5−1+5−1+5−1−51+51+51−51−5−1+5−1−51−51+5−1−5−1+51−51+500-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1−1+51−5−1−51+52ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−1−5−1+51+51−50000-113−52−3+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+ζ360000000000000000000000000000000000000000000
χ1094-4-444-4−1−5−1+5−1+5−1−51+51+51−51−5−1+5−1−51−51+5−1−5−1+51−51+500-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-1−1+51−5−1−51+5−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36−1−5−1+51+51−50000-113−52−3+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−ζ360000000000000000000000000000000000000000000
χ1104-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+51−5003+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52−1−51+5−1+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−1−5−1+51+51−500003+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−ζ360000000000000000000000000000000000000000000
χ1114-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+51−5003+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−52−1−51+5−1+51−52ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−1−5−1+51+51−500003+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+ζ360000000000000000000000000000000000000000000
χ1124-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−51+54-43−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+521−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51+5−1+5−1−5−1+51−5−1−51+5−3+523−521-11-1−3−523+523−52−3+52−3+523−52-111-1-111-13+52−3−52−3−523+520000000000000000000000000000000000000000000
χ1134-4-44-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1−51−51+5−1+5−1−51−51+5-443−52-1-13+52−3+52−3+521111−3−52−3−523−52-1-13+521−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51+5−1+5−1−51−5−1+51+5−1−5−3+523−521-11-1−3−523+52−3+523−523−52−3+521-1-111-1-11−3−523+523+52−3−520000000000000000000000000000000000000000000
χ1144-4-44-44−1+5−1−5−1−5−1+51−51−51+51+5−1−5−1+51+51−5−1+5−1−51+51−54-4-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-11+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51−51+5−1+5−1−5−1+51−5−1−51+51-1−3−523+52−3+523−521-1-111-13+52−3−52−3−523+523−52−3+52−3+523−52-111-10000000000000000000000000000000000000000000
χ1154-4-44-44−1+5−1−5−1−5−1+51−51−51+51+5−1−5−1+51+51−5−1+5−1−51+51−5-44-13+523−52-111−3−52−3−52−3+52−3+5211-13+523−52-11+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51−51+5−1+5−1−51−5−1+51+5−1−51-1−3−523+52−3+523−521-11-1-11−3−523+523+52−3−52−3+523−523−52−3+521-1-110000000000000000000000000000000000000000000
χ1164-4-44-44−1−5−1+5−1+5−1−51+51+51−51−5−1+5−1−51−51+5−1−5−1+51−51+54-4-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-11−5−1+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51+51−5−1−5−1+5−1−51+5−1+51−51-1−3+523−52−3−523+521-1-111-13−52−3+52−3+523−523+52−3−52−3−523+52-111-10000000000000000000000000000000000000000000
χ1174-4-44-44−1−5−1+5−1+5−1−51+51+51−51−5−1+5−1−51−51+5−1−5−1+51−51+5-44-13−523+52-111−3+52−3+52−3−52−3−5211-13−523+52-11−5−1+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51+51−5−1−5−1+51+5−1−51−5−1+51-1−3+523−52−3−523+521-11-1-11−3+523−523−52−3+52−3−523+523+52−3−521-1-110000000000000000000000000000000000000000000
χ1184-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+51−54-43+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−521+5−1−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51−5−1−5−1+5−1−51+5−1+51−5−3−523+521-11-1−3+523−523+52−3−52−3−523+52-111-1-111-13−52−3+52−3+523−520000000000000000000000000000000000000000000
χ1194-4-44-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+51+51−5-443+52-1-13−52−3−52−3−521111−3+52−3+523+52-1-13−521+5−1−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51−5−1−5−1+51+5−1−51−5−1+5−3−523+521-11-1−3+523−52−3−523+523+52−3−521-1-111-1-11−3+523−523−52−3+520000000000000000000000000000000000000000000
χ12088-8-800−2+25−2−25−2+25−2−25−2+252−25−2−252+252−252+25−2+25−2−252−252+252−252+25003−5-2-23+53−5−3+5-22-223+5−3−5−3+522−3−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-800−2+25−2−25−2−25−2+25−2+252−25−2−252+252+252−25−2−25−2+252−252+252+252−2500-23+53−5-2-223+5−3−53−5−3+5-222−3−5−3+52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-800−2−25−2+25−2+25−2−25−2−252+25−2+252−252−252+25−2+25−2−252+252−252−252+2500-23−53+5-2-223−5−3+53+5−3−5-222−3+5−3−52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-800−2−25−2+25−2−25−2+25−2−252+25−2+252−252+252−25−2−25−2+252+252−252+252−25003+5-2-23−53+5−3−5-22-223−5−3+5−3−522−3+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-800−2+25−2−25−2+25−2−252−25−2+252+25−2−252−252+252−252+252−252+25−2+25−2−25003−5-2-23+5−3+53−52-22-2−3−53+5−3+522−3−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-800−2+25−2−25−2−25−2+252−25−2+252+25−2−252+252−252+252−252−252+25−2−25−2+2500-23+53−5-22-2−3−53+5−3+53−52-22−3−5−3+52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-800−2−25−2+25−2+25−2−252+25−2−252−25−2+252−252+252−252+252+252−25−2+25−2−2500-23−53+5-22-2−3+53−5−3−53+52-22−3+5−3−52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-800−2−25−2+25−2−25−2+252+25−2−252−25−2+252+252−252+252−252+252−25−2−25−2+25003+5-2-23−5−3−53+52-22-2−3+53−5−3−522−3+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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