Finite Group Databasebeta

← Group #13100792

Character table — Group #13100792

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size11112222222222222222224444444444444444444444444488888888888888888888888888888888101010101010101020202020202020202020202020202020202020202525252540404040404040405050100100
order12224455551010101010101010101010104455551010101010101010101010102020202020202020202020202020202020202020202020202020202020202020202020202020202088888888224440404040404040404040404040404040444410101010202020202244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91-11-11-11111-1-1-1-111-1-1-1-111i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-1i−i
χ101-11-11-11111-1-1-1-111-1-1-1-111i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii1-1-11iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-11−ii
χ111-11-11-11111-1-1-1-111-1-1-1-111i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1-11−ii
χ121-11-11-11111-1-1-1-111-1-1-1-111i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-11-11−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1111-1i−i
χ131-11-11-11111-1-1-1-111-1-1-1-111−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-11-11iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1111-1−ii
χ141-11-11-11111-1-1-1-111-1-1-1-111−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-111-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1-11i−i
χ151-11-11-11111-1-1-1-111-1-1-1-111−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i1-1-11−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-11i−i
χ161-11-11-11111-1-1-1-111-1-1-1-111−ii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-1−ii
χ1722222222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+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+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52222200002200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−5200000000
χ1822222222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+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+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-2001−521−521+521+521−521−521+521+520000000000001−521+521−521+5200000000
χ1922222222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1+52−1−5222−1+52−1−5222-2-21−521+52-2-21−521+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+5222220000-2-200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+5200000000
χ2022222222−1+52−1−5222−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1+52−1−5222−1+52−1−5222-2-21−521+52-2-21−521+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+52-2-2-2-2000022001−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−5200000000
χ2122222222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1+522222−1−52−1+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+52222200002200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+5200000000
χ2222222222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1+522222−1−52−1+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+52-2-2-2-20000-2-2001+521+521−521−521+521+521−521−520000000000001+521−521+521−5200000000
χ2322222222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+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+52−1−52−1+5222−1−52−1+5222-2-21+521−52-2-21+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+521−521−521−521−5222220000-2-200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−5200000000
χ2422222222−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+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+52−1−52−1+5222−1−52−1+5222-2-21+521−52-2-21+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+521−521−521−521−52-2-2-2-2000022001+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+5200000000
χ25222222−1+52−1−5222−1+52−1−522222−1+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+52−1−5222−1+52−1−5222−1+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+52−1−52−1−5200002222002200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−520000
χ26222222−1+52−1−5222−1+52−1−522222−1+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+52−1−5222−1+52−1−5222−1+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+52−1−52−1−520000-2-2-2-200-2-2000000001−521−521+521+521−521−521+521+52000000001−521+521−521+520000
χ27222222−1+52−1−5222−1+52−1−522222−1+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+52−1−5222−1+52−1−5222−1+52−1−521−521+52-2-21−521+52-2-2−1+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+520000222200-2-200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000
χ28222222−1+52−1−5222−1+52−1−522222−1+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+52−1−5222−1+52−1−5222−1+52−1−521−521+52-2-21−521+52-2-2−1+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+520000-2-2-2-20022000000001−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000
χ29222222−1−52−1+5222−1−52−1+522222−1−52−1+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+5222−1−52−1+5222−1−52−1+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+5200002222002200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+520000
χ30222222−1−52−1+5222−1−52−1+522222−1−52−1+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+5222−1−52−1+5222−1−52−1+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+520000-2-2-2-200-2-2000000001+521+521−521−521+521+521−521−52000000001+521−521+521−520000
χ31222222−1−52−1+5222−1−52−1+522222−1−52−1+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+5222−1−52−1+5222−1−52−1+521+521−52-2-21+521−52-2-2−1−52−1+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+521−521−520000222200-2-200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000
χ32222222−1−52−1+5222−1−52−1+522222−1−52−1+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+5222−1−52−1+5222−1−52−1+521+521−52-2-21+521−52-2-2−1−52−1+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+521−521−520000-2-2-2-20022000000001+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000
χ332222-2-22222222222222222002222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000222200000000-2-200
χ342222-2-22222222222222222002222222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2-2-2000000002200
χ3522-2-2002222-2-2-2-2-2-22222-2-2002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000002−22−2i2−i2i2−i200002−22−22−22−2i2−i2i2−i2i2−i2i2−i22i−2i2i−2i000000000000
χ3622-2-2002222-2-2-2-2-2-22222-2-2002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000002−22−2−i2i2−i2i200002−22−22−22−2−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i000000000000
χ3722-2-2002222-2-2-2-2-2-22222-2-2002222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000−22−22i2−i2i2−i20000−22−22−22−22i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i000000000000
χ3822-2-2002222-2-2-2-2-2-22222-2-2002222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000−22−22−i2i2−i2i20000−22−22−22−22−i2i2−i2i2−i2i2−i2i22i−2i2i−2i000000000000
χ392-22-22-222−1+52−1−52-2-21−521+52−1+52−1−52-2-21−521+52222i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52221−521+52-2-22i2i−ζ22−ζ38−ζ6−ζ14−2i−2iζ22+ζ38ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142i2i−2i−2i00002-200−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000−1+52−1−521−521+5200000000
χ402-22-22-222−1+52−1−52-2-21−521+52−1+52−1−52-2-21−521+52222i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52221−521+52-2-22i2i−ζ22−ζ38−ζ6−ζ14−2i−2iζ22+ζ38ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−2i−2i2i2i0000-2200ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000001−521+52−1+52−1−5200000000
χ412-22-22-222−1+52−1−52-2-21−521+52−1+52−1−52-2-21−521+5222−2i2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52221−521+52-2-2−2i−2iζ22+ζ38ζ6+ζ142i2i−ζ22−ζ38−ζ6−ζ14−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142i2i−2i−2i0000-2200−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000001−521+52−1+52−1−5200000000
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χ1064-44-4-44−1−5−1+5−1+5−1−51+51−51−51+5−1+5−1−51+51−51−51+5−1−5−1+500-13−523+52-11−3+52−3−521-13−523+52-11−3+52−3−5211−51+51+51−5−1+5−1−5−1−5−1+5000000001−3+52−3−521-13−523+52-1−i5i53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38i5−i5i5−i5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−i5i500000000000000000000000000000000000000000000
χ1074-44-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5003+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+521+51−51+51−5−1−5−1+5−1−5−1+500000000−3−5211−3+523+52-1-13−52−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38i5−i5i5−i5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ382ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−i5i5−i5i53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ1084-44-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−51+51−5−1−5−1+5003+52-1-13−52−3−5211−3+523+52-1-13−52−3−5211−3+521+51−51+51−5−1−5−1+5−1−5−1+500000000−3−5211−3+523+52-1-13−522ζ6+2ζ14+3ζ22+3ζ38−2ζ6−2ζ14−3ζ22−3ζ38−i5i5−i5i53ζ6+3ζ14+2ζ22+2ζ38−3ζ6−3ζ14−2ζ22−2ζ38−2ζ6−2ζ14−3ζ22−3ζ382ζ6+2ζ14+3ζ22+3ζ38i5−i5i5−i5−3ζ6−3ζ14−2ζ22−2ζ383ζ6+3ζ14+2ζ22+2ζ3800000000000000000000000000000000000000000000
χ1094-4-440044−1+5−1−544−1+5−1−51−51+5-4-41−51+5-4-400−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500000000000000000000000000000000000000002i2−2i2−2i22i200000000ζ7+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+ζ39000000000000000000000000
χ1104-4-440044−1+5−1−544−1+5−1−51−51+5-4-41−51+5-4-400−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50000000000000000000000000000000000000000−2i22i22i2−2i200000000−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−ζ39000000000000000000000000
χ1114-4-440044−1−5−1+544−1−5−1+51+51−5-4-41+51−5-4-400−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500000000000000000000000000000000000000002i2−2i2−2i22i200000000ζ21+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+ζ37000000000000000000000000
χ1124-4-440044−1−5−1+544−1−5−1+51+51−5-4-41+51−5-4-400−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000000000000000000000000000000000000000−2i22i22i2−2i200000000−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−ζ37000000000000000000000000
χ1134-4-4400−1+5−1−544−1+5−1−544-4-41−51+5-4-41−51+500−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+50000000000000000000000000000000000000000000022−22−2222000000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000
χ1144-4-4400−1+5−1−544−1+5−1−544-4-41−51+5-4-41−51+500−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51+51−51+51−51+51−51+500000000000000000000000000000000000000000000−222222−22000000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000
χ1154-4-4400−1−5−1+544−1−5−1+544-4-41+51−5-4-41+51−500−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−50000000000000000000000000000000000000000000022−22−2222000000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000
χ1164-4-4400−1−5−1+544−1−5−1+544-4-41+51−5-4-41+51−500−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51−51+51−51+51−51+51−500000000000000000000000000000000000000000000−222222−22000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000
χ11788-8-800−2+25−2−25−2+25−2−252−252+252−252+252−252+25−2+25−2−25−2+25−2−252−252+25003−5-2-23+5−3+522−3−5−3+522−3−53−5-2-23+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800−2+25−2−25−2−25−2+252−252+252+252−252+252−25−2+25−2−25−2−25−2+252−252+2500-23+53−5-22−3−5−3+522−3−5−3+52-23+53−5-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-800−2−25−2+25−2+25−2−252+252−252−252+252−252+25−2−25−2+25−2+25−2−252+252−2500-23−53+5-22−3+5−3−522−3+5−3−52-23−53+5-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-800−2−25−2+25−2−25−2+252+252−252+252−252+252−25−2−25−2+25−2−25−2+252+252−25003+5-2-23−5−3−522−3+5−3−522−3+53+5-2-23−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-8800−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+252−252+25003−5-2-23+53−5-2-23+5−3+522−3−5−3+522−3−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8800−2+25−2−25−2−25−2+25−2+25−2−25−2−25−2+252+252−252−252+252+252−252−252+2500-23+53−5-2-23+53−5-22−3−5−3+522−3−5−3+52000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800−2−25−2+25−2+25−2−25−2−25−2+25−2+25−2−252−252+252+252−252−252+252+252−2500-23−53+5-2-23−53+5-22−3+5−3−522−3+5−3−52000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-8800−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−25003+5-2-23−53+5-2-23−5−3−522−3+5−3−522−3+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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