Finite Group Databasebeta

← Group #13103770

Character table — Group #13103770

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222222224444444455558888888888888888881010101010101010101010101010101010101010101020202020202020202020202020202020202020202525252525252525404040405050505050505050
order12222255101010101010510101010101010444455101010101010101010101010101010104444448888888820202020202020202020202040404040404040404040404040404040888888882020202044448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111111111-1-11111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i
χ61111111111111111111111-1-1-1-1111111111111111111-1-11111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-1−i−iii
χ71111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii
χ81111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i
χ91111-1-1111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ101111-1-1111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ111111-1-1111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ121111-1-1111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ131111-1-1111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iii
χ141111-1-1111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i
χ151111-1-1111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i
χ161111-1-1111111111-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iii
χ1711-1-11-111-1-1-1-111111-1-11-1-111-1-1111-111-1-1-1-11111-1-1-1-11-1i−ii−i1-11-11-11-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ1811-1-11-111-1-1-1-111111-1-11-1-111-1-1111-111-1-1-1-11111-1-1-1-11-1i−ii−i-11-11-11-11-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ1911-1-11-111-1-1-1-111111-1-11-1-111-1-1111-111-1-1-1-11111-1-1-1-11-1−ii−ii1-11-11-11-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ2011-1-11-111-1-1-1-111111-1-11-1-111-1-1111-111-1-1-1-11111-1-1-1-11-1−ii−ii-11-11-11-11-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ2111-1-11-111-1-1-1-111111-1-11-1-1-1-111111-111-1-1-1-11111-1-1-1-1-11i−ii−ii−ii−i−ii−ii1111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1i−ii−i−ii−ii-111-1
χ2211-1-11-111-1-1-1-111111-1-11-1-1-1-111111-111-1-1-1-11111-1-1-1-1-11i−ii−i−ii−iii−ii−i1111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111i−ii−i−ii−ii1-1-11
χ2311-1-11-111-1-1-1-111111-1-11-1-1-1-111111-111-1-1-1-11111-1-1-1-1-11−ii−iii−ii−i−ii−ii1111-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111−ii−iii−ii−i1-1-11
χ2411-1-11-111-1-1-1-111111-1-11-1-1-1-111111-111-1-1-1-11111-1-1-1-1-11−ii−ii−ii−iii−ii−i1111-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1−ii−iii−ii−i-111-1
χ2511-1-1-1111-1-1-1-1111-1-1111-1-111-1-111-1111-1-1-1-1-1-1-1-11111-11i−i−ii1-1-111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111ii−i−iii−i−ii−i−iii−i−ii−ii−ii
χ2611-1-1-1111-1-1-1-1111-1-1111-1-111-1-111-1111-1-1-1-1-1-1-1-11111-11i−i−ii-111-1-111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1−i−iii−i−iiii−i−iii−i−iii−ii−i
χ2711-1-1-1111-1-1-1-1111-1-1111-1-111-1-111-1111-1-1-1-1-1-1-1-11111-11−iii−i1-1-111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111−i−iii−i−iii−iii−i−iii−ii−ii−i
χ2811-1-1-1111-1-1-1-1111-1-1111-1-111-1-111-1111-1-1-1-1-1-1-1-11111-11−iii−i-111-1-111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1ii−i−iii−i−i−iii−i−iii−i−ii−ii
χ2911-1-1-1111-1-1-1-1111-1-1111-1-1-1-11111-1111-1-1-1-1-1-1-1-111111-1i−i−iii−i−ii−iii−i1111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1i−i−ii−iii−i1-1-11
χ3011-1-1-1111-1-1-1-1111-1-1111-1-1-1-11111-1111-1-1-1-1-1-1-1-111111-1i−i−ii−iii−ii−i−ii1111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111i−i−ii−iii−i-111-1
χ3111-1-1-1111-1-1-1-1111-1-1111-1-1-1-11111-1111-1-1-1-1-1-1-1-111111-1−iii−ii−i−ii−iii−i1111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−iii−ii−i−ii-111-1
χ3211-1-1-1111-1-1-1-1111-1-1111-1-1-1-11111-1111-1-1-1-1-1-1-1-111111-1−iii−i−iii−ii−i−ii1111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−iii−ii−i−ii1-1-11
χ33222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1−522222222−1+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+52−1−52−1−5222000022222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ34222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1−522222222−1+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+52−1−52−1−52220000-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ35222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−52-2-200002i2i2i2i−2i−2i−2i−2i1−521−521+521+521−521−521+521+521−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ1400000000000000000000
χ36222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−52-2-20000−2i−2i−2i−2i2i2i2i2i1−521−521+521+521−521−521+521+521−521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
χ37222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1+522222222−1−52−1+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+5222000022222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ38222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1+522222222−1−52−1+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+52220000-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ39222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+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+52-2-200002i2i2i2i−2i−2i−2i−2i1+521+521−521−521+521+521−521−521+521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ3800000000000000000000
χ40222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+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+52-2-20000−2i−2i−2i−2i2i2i2i2i1+521+521−521−521+521+521−521−521+521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000
χ412222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5221−521+521−521+522222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2000022-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ422222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5221−521+521−521+522222222−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-20000-2-222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ432222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5221−521+521−521+52222-2-2-2-2−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522200002i2i−2i−2i−2i−2i2i2i1−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
χ442222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5221−521+521−521+52222-2-2-2-2−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52220000−2i−2i2i2i2i2i−2i−2i1−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ1400000000000000000000
χ452222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5221+521−521+521−522222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2000022-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ462222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5221+521−521+521−522222222−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-20000-2-222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ472222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5221+521−521+521−52222-2-2-2-2−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522200002i2i−2i−2i−2i−2i2i2i1+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000
χ482222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5221+521−521+521−52222-2-2-2-2−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52220000−2i−2i2i2i2i2i−2i−2i1+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ3800000000000000000000
χ4922-2-22-2−1+52−1−521−521−521+521+52−1+52−1−522−1+52−1−521−521+522-2-222-2-2−1+52−1−522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-200002-22-22-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+5200000000000000000000
χ5022-2-22-2−1+52−1−521−521−521+521+52−1+52−1−522−1+52−1−521−521+522-2-222-2-2−1+52−1−522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-20000-22-22-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−5200000000000000000000
χ5122-2-22-2−1+52−1−521−521−521+521+52−1+52−1−522−1+52−1−521−521+522-2-2-2-222−1+52−1−522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2200002i−2i2i−2i−2i2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
χ5222-2-22-2−1+52−1−521−521−521+521+52−1+52−1−522−1+52−1−521−521+522-2-2-2-222−1+52−1−522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-220000−2i2i−2i2i2i−2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000000000
χ5322-2-22-2−1−52−1+521+521+521−521−52−1−52−1+522−1−52−1+521+521−522-2-222-2-2−1−52−1+522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-200002-22-22-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−5200000000000000000000
χ5422-2-22-2−1−52−1+521+521+521−521−52−1−52−1+522−1−52−1+521+521−522-2-222-2-2−1−52−1+522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-20000-22-22-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200000000000000000000
χ5522-2-22-2−1−52−1+521+521+521−521−52−1−52−1+522−1−52−1+521+521−522-2-2-2-222−1−52−1+522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2200002i−2i2i−2i−2i2i−2i2i−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000
χ5622-2-22-2−1−52−1+521+521+521−521−52−1−52−1+522−1−52−1+521+521−522-2-2-2-222−1−52−1+522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-220000−2i2i−2i2i2i−2i2i−2i−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800000000000000000000
χ5722-2-2-22−1+52−1−521−521−521+521+52−1+52−1−5221−521+52−1+52−1−522-2-222-2-2−1+52−1−52-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2200002-2-222-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000000000000000000
χ5822-2-2-22−1+52−1−521−521−521+521+52−1+52−1−5221−521+52−1+52−1−522-2-222-2-2−1+52−1−52-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-220000-222-2-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000000000000000000
χ5922-2-2-22−1+52−1−521−521−521+521+52−1+52−1−5221−521+52−1+52−1−522-2-2-2-222−1+52−1−52-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-200002i−2i−2i2i−2i2i2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ1400000000000000000000
χ6022-2-2-22−1+52−1−521−521−521+521+52−1+52−1−5221−521+52−1+52−1−522-2-2-2-222−1+52−1−52-22−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-20000−2i2i2i−2i2i−2i−2i2i−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ1400000000000000000000
χ6122-2-2-22−1−52−1+521+521+521−521−52−1−52−1+5221+521−52−1−52−1+522-2-222-2-2−1−52−1+52-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2200002-2-222-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000000000000000000
χ6222-2-2-22−1−52−1+521+521+521−521−52−1−52−1+5221+521−52−1−52−1+522-2-222-2-2−1−52−1+52-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-220000-222-2-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−5200000000000000000000
χ6322-2-2-22−1−52−1+521+521+521−521−52−1−52−1+5221+521−52−1−52−1+522-2-2-2-222−1−52−1+52-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-200002i−2i−2i2i−2i2i2i−2i−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ3800000000000000000000
χ6422-2-2-22−1−52−1+521+521+521−521−52−1−52−1+5221+521−52−1−52−1+522-2-2-2-222−1−52−1+52-22−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-20000−2i2i2i−2i2i−2i−2i2i−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ3800000000000000000000
χ652-22-200222-22-2-2-220000-22-22i−2i2i−2i2200-2-22-22-200000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ662-22-200222-22-2-2-220000-22-22i−2i2i−2i2200-2-22-22-200000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ672-22-200222-22-2-2-220000-22-2−2i2i−2i2i2200-2-22-22-20000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ682-22-200222-22-2-2-220000-22-2−2i2i−2i2i2200-2-22-22-20000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ692-2-220022-22-22-2-220000-2-222i−2i−2i2i2200-2-2-22-220000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000
χ702-2-220022-22-22-2-220000-2-222i−2i−2i2i2200-2-2-22-220000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000
χ712-2-220022-22-22-2-220000-2-22−2i2i2i−2i2200-2-2-22-2200000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000
χ722-2-220022-22-22-2-220000-2-22−2i2i2i−2i2200-2-2-22-2200000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000
χ7344444444444444-14444-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100444400000000000000000000000000000000000000000000-1-1-1-100000000
χ7444444444444444-14444-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-4-4-4-400000000000000000000000000000000000000000000111100000000
χ754444-4-444444444-1-4-4-4-4-1-1-10000-1-111-1-1-1-1-1-1111111110044-4-400000000000000000000000000000000000000000000-1-11100000000
χ764444-4-444444444-1-4-4-4-4-1-1-10000-1-111-1-1-1-1-1-11111111100-4-4440000000000000000000000000000000000000000000011-1-100000000
χ7744-4-44-444-4-4-4-444-144-4-4-1110000-1-1-11-1-11111-1-1-1-11111004i−4i4i−4i00000000000000000000000000000000000000000000−ii−ii00000000
χ7844-4-44-444-4-4-4-444-144-4-4-1110000-1-1-11-1-11111-1-1-1-1111100−4i4i−4i4i00000000000000000000000000000000000000000000i−ii−i00000000
χ7944-4-4-4444-4-4-4-444-1-4-444-1110000-1-11-1-1-111111111-1-1-1-1004i−4i−4i4i00000000000000000000000000000000000000000000−iii−i00000000
χ8044-4-4-4444-4-4-4-444-1-4-444-1110000-1-11-1-1-111111111-1-1-1-100−4i4i4i−4i00000000000000000000000000000000000000000000i−i−ii00000000
χ814-44-400−1+5−1−5−1+51−5−1−51+51−51+540000-44-44i−4i4i−4i−1+5−1−5001−51+5−1+51−5−1−51+50000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ824-44-400−1+5−1−5−1+51−5−1−51+51−51+540000-44-4−4i4i−4i4i−1+5−1−5001−51+5−1+51−5−1−51+500000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ834-44-400−1−5−1+5−1−51+5−1+51−51+51−540000-44-44i−4i4i−4i−1−5−1+5001+51−5−1−51+5−1+51−50000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ844-44-400−1−5−1+5−1−51+5−1+51−51+51−540000-44-4−4i4i−4i4i−1−5−1+5001+51−5−1−51+5−1+51−500000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ854-4-4400−1+5−1−51−5−1+51+5−1−51−51+540000-4-444i−4i−4i4i−1+5−1−5001−51+51−5−1+51+5−1−500000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ864-4-4400−1+5−1−51−5−1+51+5−1−51−51+540000-4-44−4i4i4i−4i−1+5−1−5001−51+51−5−1+51+5−1−50000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ874-4-4400−1−5−1+51+5−1−51−5−1+51+51−540000-4-444i−4i−4i4i−1−5−1+5001+51−51+5−1−51−5−1+500000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ884-4-4400−1−5−1+51+5−1−51−5−1+51+51−540000-4-44−4i4i4i−4i−1−5−1+5001+51−51+5−1−51−5−1+50000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ89888888−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−25-2−2+25−2−25−2+25−2−25-2-2-200001−521+52-2-21−521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000000000000000000000000000000000
χ90888888−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+25-2−2−25−2+25−2−25−2+25-2-2-200001+521−52-2-21+521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000000000000000000000000000000000
χ918888-8-8−2+25−2−25−2+25−2+25−2−25−2−25−2+25−2−25-22−252+252−252+25-2-2-200001−521+52221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000000000
χ928888-8-8−2−25−2+25−2−25−2−25−2+25−2+25−2−25−2+25-22+252−252+252−25-2-2-200001+521−52221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000000000
χ9388-8-88-8−2+25−2−252−252−252+252+25−2+25−2−25-2−2+25−2−252−252+25-22200001−521+52-221−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000000000
χ9488-8-88-8−2−25−2+252+252+252−252−25−2−25−2+25-2−2−25−2+252+252−25-22200001+521−52-221+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88−2+25−2−252−252−252+252+25−2+25−2−25-22−252+25−2+25−2−25-22200001−521+522-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-88−2−25−2+252+252+252−252−25−2−25−2+25-22+252−25−2−25−2+25-22200001+521−522-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000000000000000
χ978-88-800888-88-8-8-8-200002-220000-2-20022-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800−2+25−2−25−2+252−25−2−252+252−252+25-200002-2200001−521+5200−1+52−1−521−52−1+521+52−1−52−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ3600000000000000000000000000000000000000000000000000000000000000
χ998-88-800−2+25−2−25−2+252−25−2−252+252−252+25-200002-2200001−521+5200−1+52−1−521−52−1+521+52−1−522ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ3600000000000000000000000000000000000000000000000000000000000000
χ1008-88-800−2−25−2+25−2−252+25−2+252−252+252−25-200002-2200001+521−5200−1−52−1+521+52−1−521−52−1+52−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ3600000000000000000000000000000000000000000000000000000000000000
χ1018-88-800−2−25−2+25−2−252+25−2+252−252+252−25-200002-2200001+521−5200−1−52−1+521+52−1−521−52−1+52ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ3600000000000000000000000000000000000000000000000000000000000000
χ1028-8-880088-88-88-8-8-2000022-20000-2-200222-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-8800−2+25−2−252−25−2+252+25−2−252−252+25-2000022-200001−521+5200−1+52−1−52−1+521−52−1−521+52−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ3600000000000000000000000000000000000000000000000000000000000000
χ1048-8-8800−2+25−2−252−25−2+252+25−2−252−252+25-2000022-200001−521+5200−1+52−1−52−1+521−52−1−521+522ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ3600000000000000000000000000000000000000000000000000000000000000
χ1058-8-8800−2−25−2+252+25−2−252−25−2+252+252−25-2000022-200001+521−5200−1−52−1+52−1−521+52−1+521−52−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ3600000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800−2−25−2+252+25−2−252−25−2+252+252−25-2000022-200001+521−5200−1−52−1+52−1−521+52−1+521−52ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ3600000000000000000000000000000000000000000000000000000000000000

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