Finite Group Databasebeta

← Group #13100767

Character table — Group #13100767

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122222222222222222244444444444444444444444444444444445555888888888888888888888888888810101010101010101010101010102020202020202020202020202020202020202020202020204040404050505050100100
order12224455551010101010101010101010104455551010101010101010101010102020202020202020202020202020202044442020202020202020202020202020202020202020202020202020202044888820202020202020204444202020202020202020202020404040404040404020202020888844
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-1-111111-1-1-1-1-1-1-1-11111i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iii−i−iiiii−i−i−i−i1-11-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-1i−i
χ101-11-1-111111-1-1-1-1-1-1-1-11111i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i−i−iiiiiii−i−i−i−i1-1-11ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-111-1-111−ii
χ111-11-1-111111-1-1-1-1-1-1-1-11111i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−i−iiiii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−iiii−i−i−i−i−i−iiiii-111-1−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1-1-111−ii
χ121-11-1-111111-1-1-1-1-1-1-1-11111i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1−i−iiiii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii−i−i−i−iiiii-11-11−i−iii-1-1-1-11111−i−i−i−iiiii-1-11111-1-1i−i
χ131-11-1-111111-1-1-1-1-1-1-1-11111−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−iiiii−i−i−i−i-11-11ii−i−i-1-1-1-11111iiii−i−i−i−i-1-11111-1-1−ii
χ141-11-1-111111-1-1-1-1-1-1-1-11111−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−i−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i−i−iiiiiii−i−i−i−i-111-1ii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1-1-111i−i
χ151-11-1-111111-1-1-1-1-1-1-1-11111−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−iiii−i−i−i−i−i−iiiii1-1-11−i−iii1111-1-1-1-1iiii−i−i−i−i-1-111-1-111i−i
χ161-11-1-111111-1-1-1-1-1-1-1-11111−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii−i−i−i−iiiii1-11-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−ii
χ1722222222−1+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+52−1−52−1−5222−1+52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52220000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522200−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ1822222222−1+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+52−1−52−1−5222−1+52−1−52−1+52−1−5222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200001−521−521+521+521−521−521+521+52-2-2001−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000
χ1922222222−1+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+52−1−52−1−521−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52222222-2-2-2-2−1+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+52220000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ2022222222−1+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+52−1−52−1−521−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+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+52-2-200001−521−521+521+521−521−521+521+5222001−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ2122222222−1−52−1+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+5222−1−52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522200−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2222222222−1−52−1+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+5222−1−52−1+52−1−52−1+5222-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200001+521+521−521−521+521+521−521−52-2-2001+521−521+521−521+521+521−521−521+521+521−521−52000000000000000000
χ2322222222−1−52−1+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+521+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52220000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ2422222222−1−52−1+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+521+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-200001+521+521−521−521+521+521−521−5222001+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ25222222−1+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+52−1−5222222222−1+52−1−522222−1+52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002222000000000022000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52000000
χ26222222−1+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+52−1−5222222222−1+52−1−522222−1+52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-2-20000000000-2-20000000000001−521−521+521+521−521−521+521+521−521+521−521+52000000
χ27222222−1+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+52−1−52-2-2-2-2-2-2-2-2−1+52−1−522222−1+52−1−5200001−521+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+520022220000000000-2-2000000000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52000000
χ28222222−1+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+52−1−52-2-2-2-2-2-2-2-2−1+52−1−522222−1+52−1−5200001−521+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+5200-2-2-2-20000000000220000000000001−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52000000
χ29222222−1−52−1+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+5222222222−1−52−1+522222−1−52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002222000000000022000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52000000
χ30222222−1−52−1+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+5222222222−1−52−1+522222−1−52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-2-20000000000-2-20000000000001+521+521−521−521+521+521−521−521+521−521+521−52000000
χ31222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+522222−1−52−1+5200001+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+521−521−520022220000000000-2-2000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52000000
χ32222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+522222−1−52−1+5200001+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+521−521−5200-2-2-2-20000000000220000000000001+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52000000
χ332222-2-2222222222222222200222222222222222200000000-2-2-2-2-2-2-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-20000222222220000-2-2-2-200000000000000000000000000
χ342222-2-2222222222222222200222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-20000000000000000220000-2-2-2-2-2-2-2-20000222200000000000000000000000000
χ352222-2-222−1+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+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36-2-21−521+521−521+52-2-2222200001−521−521+521+521−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36-2-20000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ362222-2-222−1+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+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36-2-21−521+521−521+52-2-2-2-2-2-200001−521−521+521+521−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ362200001−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ372222-2-222−1+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+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36-2-21−521+521−521+52-2-2222200001−521−521+521+521−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36-2-20000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ382222-2-222−1+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+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36-2-21−521+521−521+52-2-2-2-2-2-200001−521−521+521+521−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ362200001−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ392222-2-222−1−52−1+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+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28-2-21+521−521+521−52-2-2222200001+521+521−521−521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28-2-20000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ402222-2-222−1−52−1+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+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28-2-21+521−521+521−52-2-2-2-2-2-200001+521+521−521−521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ282200001+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ412222-2-222−1−52−1+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+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28-2-21+521−521+521−52-2-2222200001+521+521−521−521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28-2-20000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ422222-2-222−1−52−1+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+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28-2-21+521−521+521−52-2-2-2-2-2-200001+521+521−521−521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ282200001+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
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χ4522-2-200222222-2-222-2-2-2-2-2-20022222222-2-2-2-2-2-2-2-20000000000000000-22-220000000000000000000000000000002−22−2-22-22-22-2200000000000000002−22−22−22−20000−22−2200
χ4622-2-200222222-2-222-2-2-2-2-2-20022222222-2-2-2-2-2-2-2-20000000000000000-22-22000000000000000000000000000000−22−22-22-22-22-220000000000000000−22−22−22−2200002−22−200
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χ1164-44-4-44−1+5−1−5−1−5−1+51−51+51−51+51+51−51+51−5−1+5−1−5−1−5−1+5−4i4i-13+523−52-11−3−52−3+521-13+523−52-11−3−52−3+5212ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−1+5−1−5−1−5−1+51+51−51−51+500002ζ22+2ζ382ζ6+2ζ14−2ζ22−2ζ38−2ζ6−2ζ14-13+523−52-11−3−52−3+521ii−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38ii−i−i2ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38ζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−i−i000000000000000000000000000000000000000000000000
χ1174-44-4-44−1−5−1+5−1+5−1−51+51−51+51−51−51+51−51+5−1−5−1+5−1+5−1−54i−4i-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−521−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−1−5−1+5−1+5−1−51−51+51+51−50000−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ38-13−523+52-11−3+52−3−521−i−iζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−i−iii−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ii000000000000000000000000000000000000000000000000
χ1184-44-4-44−1−5−1+5−1+5−1−51+51−51+51−51−51+51−51+5−1−5−1+5−1+5−1−5−4i4i-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−5212ζ22+2ζ382ζ22+2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−1−5−1+5−1+5−1−51−51+51+51−500002ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ38-13−523+52-11−3+52−3−521ii−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38ii−i−iζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−i−i000000000000000000000000000000000000000000000000
χ1194-44-4-44−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+54i−4i3+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+52−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−1−5−1+5−1−5−1+51+51−51+51−50000−2ζ6−2ζ14−2ζ22−2ζ382ζ6+2ζ142ζ22+2ζ383+52-1-13−52−3−5211−3+522ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−i−i−i−iζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38iiii−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1204-44-4-44−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+5−4i4i3+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+522ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ38−1−5−1+5−1−5−1+51+51−51+51−500002ζ6+2ζ142ζ22+2ζ38−2ζ6−2ζ14−2ζ22−2ζ383+52-1-13−52−3−5211−3+52−2ζ6−2ζ14−ζ22−ζ38−2ζ6−2ζ14−ζ22−ζ38iiii−ζ6−ζ14−2ζ22−2ζ38−ζ6−ζ14−2ζ22−2ζ382ζ6+2ζ14+ζ22+ζ382ζ6+2ζ14+ζ22+ζ38−i−i−i−iζ6+ζ14+2ζ22+2ζ38ζ6+ζ14+2ζ22+2ζ38000000000000000000000000000000000000000000000000
χ1214-4-440044−1+5−1−5-4-4441−51+5−1+5−1−5-4-41−51+500−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000000004i−4i−4i4i0000000000000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ1224-4-440044−1+5−1−5-4-4441−51+5−1+5−1−5-4-41−51+500−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000−4i4i4i−4i00000000000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000
χ1234-4-440044−1−5−1+5-4-4441+51−5−1−5−1+5-4-41+51−500−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000004i−4i−4i4i0000000000000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ1244-4-440044−1−5−1+5-4-4441+51−5−1−5−1+5-4-41+51−500−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000−4i4i4i−4i00000000000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000
χ1254-4-4400−1+5−1−5441−51+5−1+5−1−5-4-4441−51+5-4-400−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000
χ1264-4-4400−1+5−1−5441−51+5−1+5−1−5-4-4441−51+5-4-400−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000
χ1274-4-4400−1−5−1+5441+51−5−1−5−1+5-4-4441+51−5-4-400−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000
χ1284-4-4400−1−5−1+5441+51−5−1−5−1+5-4-4441+51−5-4-400−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−5−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000
χ12988-8-800−2+25−2−25−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+252−252+252−252+25003−5-2-23+53−5-2-23+5−3+522−3−5−3+522−3−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-800−2+25−2−25−2−25−2+25−2+25−2−252−252+25−2−25−2+252+252−252−252+252+252−2500-23+53−5-2-23+53−5-22−3−5−3+522−3−5−3+52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-800−2−25−2+25−2+25−2−25−2−25−2+252+252−25−2+25−2−252−252+252+252−252−252+2500-23−53+5-2-23−53+5-22−3+5−3−522−3+5−3−52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13288-8-800−2−25−2+25−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−252+252−252+252−25003+5-2-23−53+5-2-23−5−3−522−3+5−3−522−3+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8-8800−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+25−2+25−2−252−252+252−252+25003−5-2-23+5−3+522−3−5−3+522−3−53−5-2-23+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8-8800−2+25−2−25−2−25−2+252−252+25−2+25−2−252+252−25−2−25−2+252−252+252+252−2500-23+53−5-22−3−5−3+522−3−5−3+52-23+53−5-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-8800−2−25−2+25−2+25−2−252+252−25−2−25−2+252−252+25−2+25−2−252+252−252−252+2500-23−53+5-22−3+5−3−522−3+5−3−52-23−53+5-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-8800−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−25−2−25−2+252+252−252+252−25003+5-2-23−5−3−522−3+5−3−522−3+53+5-2-23−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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