Finite Group Databasebeta

← Group #12248068

Character table — Group #12248068

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1122222222222222244444444444444444444444488888888888888888888888888888888881616161616161616161616161616162020202020202020202020202020202080808080
order1222244445510102020202022222244444410101010101020202020202088101010101010101010101010202020202020202020202020404040404040404088840404040404040404040404022222244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1
χ61111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11
χ71111111111111111111-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-1-11-1-11
χ81111111111111111111-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-111-1
χ911111111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-11-11
χ1011111111111111111-1-111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111111-11-1
χ1111111111111111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-11111-1-111-1-1-1-11-11-1
χ1211111111111111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-111-1-1-1-111-1-11111-11-11
χ1311111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1
χ1411111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111
χ1511111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111
χ1611111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ17222222222−1+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+52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ18222222222−1+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+52−1−52−1−52−1−52-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ19222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ20222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+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+521−521−521+521+521−521−521−521−521+521+521+521+52-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ21222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52221−521−521+521+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+52−1−52−1−52−1−52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ22222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-222-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521−521+521+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+521−521−521−521−521+521+521+521+522-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ24222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-222−1+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+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ25222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ26222222222−1−52−1+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+52-2-2−1−52−1−52−1+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+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ27222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ28222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-222-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ29222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-222-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ30222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-222-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−522-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ32222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2-2-222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222-2-2-2-22222-2-2-2-22-22-22-22-22-22-2222222-2-2-2-2-2-2002-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000
χ3422222-2-2-2-22222-2-2-2-22-2-22-222-2-22-22222222-2-2-2-2-2-2002-22-2-22-22-22-222-22-2-22-22-22-220000000000000000000000000000000000000000000
χ3522222-2-2-2-22222-2-2-2-2-222-2-22-222-2-22222222-2-2-2-2-2-200-22-222-22-2-22-22-22-222-22-2-22-220000000000000000000000000000000000000000000
χ3622222-2-2-2-22222-2-2-2-2-22-222-2-22-222-2222222-2-2-2-2-2-200-22-22-22-222-22-2-22-22-22-222-22-20000000000000000000000000000000000000000000
χ3722222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-22-22-22-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+5200−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ3822222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522-22-22-22-22-22-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+5200−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
χ3922222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2-22-222-2-22-22−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+5200−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
χ4022222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+522-2-22-222-2-22-22−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+5200−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ4122222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22-222-2-22−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52001−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
χ4222222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52-222-2-22-222-2-22−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52001−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ4322222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52-22-222-2-22-222-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52001−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000000000
χ4422222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52-22-222-2-22-222-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52001−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000000000
χ4522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-22-22-22-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−5200−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000
χ4622222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522-22-22-22-22-22-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−5200−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000
χ4722222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2-22-222-2-22-22−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−5200−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000
χ4822222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−522-2-22-222-2-22-22−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−5200−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000
χ4922222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22-222-2-22−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52001+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000
χ5022222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52-222-2-22-222-2-22−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52001+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000
χ5122222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52-22-222-2-22-222-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52001+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000000000
χ5222222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52-22-222-2-22-222-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52001+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000000000
χ53222-2-222-2-22222222200002-20000-222-2-22-2-22-2-22-2-200000000002-22-200000000-22-2200000000000000000000000220000-2-2000022-2-20000
χ54222-2-222-2-22222222200002-20000-222-2-22-2-22-2-22-2-200000000002-22-200000000-22-2200000000000000000000000-2-20000220000-2-2220000
χ55222-2-222-2-2222222220000-2200002-22-2-22-2-22-2-22-2-20000000000-22-22000000002-22-200000000000000000000000220000-2-20000-2-2220000
χ56222-2-222-2-2222222220000-2200002-22-2-22-2-22-2-22-2-20000000000-22-22000000002-22-200000000000000000000000-2-2000022000022-2-20000
χ57222-2-2-2-2222222-2-2-2-20000220000-2-22-2-22-2-2-222-2220000000000222200000000-2-2-2-200000000000000000000000002-22-2002-22-200000000
χ58222-2-2-2-2222222-2-2-2-20000220000-2-22-2-22-2-2-222-2220000000000222200000000-2-2-2-20000000000000000000000000-22-2200-22-2200000000
χ59222-2-2-2-2222222-2-2-2-20000-2-20000222-2-22-2-2-222-2220000000000-2-2-2-200000000222200000000000000000000000002-2-22002-2-2200000000
χ60222-2-2-2-2222222-2-2-2-20000-2-20000222-2-22-2-2-222-2220000000000-2-2-2-20000000022220000000000000000000000000-222-200-222-200000000
χ6122-22-22-22-222222222002-20000-2200-22-2-22-2-22-2-22-20000002-22-200000000-22-2200000000000000000000000000000220000-2-2002-22-20000
χ6222-22-22-22-222222222002-20000-2200-22-2-22-2-22-2-22-20000002-22-200000000-22-2200000000000000000000000000000-2-200002200-22-220000
χ6322-22-22-22-22222222200-2200002-200-22-2-22-2-22-2-22-2000000-22-22000000002-22-200000000000000000000000000000220000-2-200-22-220000
χ6422-22-22-22-22222222200-2200002-200-22-2-22-2-22-2-22-2000000-22-22000000002-22-200000000000000000000000000000-2-2000022002-22-20000
χ6522-22-2-22-222222-2-2-2-200220000-2-200-22-2-22-22-222-22000000222200000000-2-2-2-20000000000000000000000000002-2002-22-200-2200000000
χ6622-22-2-22-222222-2-2-2-200220000-2-200-22-2-22-22-222-22000000222200000000-2-2-2-2000000000000000000000000000-2200-22-22002-200000000
χ6722-22-2-22-222222-2-2-2-200-2-200002200-22-2-22-22-222-22000000-2-2-2-20000000022220000000000000000000000000002-200-222-2002-200000000
χ6822-22-2-22-222222-2-2-2-200-2-200002200-22-2-22-22-222-22000000-2-2-2-2000000002222000000000000000000000000000-22002-2-2200-2200000000
χ6922-2-222-2-22222222222-20000-220000-2-22-2-22-2-22-2-22002-22-200000000-22-2200000000000000000000000000000000000220000-2-2-222-20000
χ7022-2-222-2-22222222222-20000-220000-2-22-2-22-2-22-2-22002-22-200000000-22-2200000000000000000000000000000000000-2-20000222-2-220000
χ7122-2-222-2-2222222222-2200002-20000-2-22-2-22-2-22-2-2200-22-22000000002-22-200000000000000000000000000000000000220000-2-22-2-220000
χ7222-2-222-2-2222222222-2200002-20000-2-22-2-22-2-22-2-2200-22-22000000002-22-200000000000000000000000000000000000-2-2000022-222-20000
χ7322-2-22-222-22222-2-2-2-2220000-2-20000-2-22-2-2222-222-200222200000000-2-2-2-200000000000000000000000000000002-2-2200-222-20000000000
χ7422-2-22-222-22222-2-2-2-2220000-2-20000-2-22-2-2222-222-200222200000000-2-2-2-20000000000000000000000000000000-222-2002-2-220000000000
χ7522-2-22-222-22222-2-2-2-2-2-20000220000-2-22-2-2222-222-200-2-2-2-200000000222200000000000000000000000000000002-22-200-22-220000000000
χ7622-2-22-222-22222-2-2-2-2-2-20000220000-2-22-2-2222-222-200-2-2-2-20000000022220000000000000000000000000000000-22-22002-22-20000000000
χ77444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500004-40000-44−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+50000000000−1+51−5−1−51+5000000001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ78444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000-4400004-4−1+51−51−5−1−51+51+5−1+51−51−5−1−51+51+500000000001−5−1+51+5−1−500000000−1+51−5−1−51+50000000000000000000000000000000000000000000
χ79444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500004-40000-44−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−50000000000−1−51+5−1+51−5000000001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ80444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+50000-4400004-4−1−51+51+5−1+51−51−5−1−51+51+5−1+51−51−500000000001+5−1−51−5−1+500000000−1−51+5−1+51−50000000000000000000000000000000000000000000
χ81444-4-4-4-444−1+5−1−5−1+5−1−51−51−51+51+50000440000-4-4−1+51−51−5−1−51+51+51−5−1+5−1+51+5−1−5−1−50000000000−1+5−1+5−1−5−1−5000000001−51−51+51+50000000000000000000000000000000000000000000
χ82444-4-4-4-444−1+5−1−5−1+5−1−51−51−51+51+50000-4-4000044−1+51−51−5−1−51+51+51−5−1+5−1+51+5−1−5−1−500000000001−51−51+51+500000000−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000
χ83444-4-4-4-444−1−5−1+5−1−5−1+51+51+51−51−50000440000-4-4−1−51+51+5−1+51−51−51+5−1−5−1−51−5−1+5−1+50000000000−1−5−1−5−1+5−1+5000000001+51+51−51−50000000000000000000000000000000000000000000
χ84444-4-4-4-444−1−5−1+5−1−5−1+51+51+51−51−50000-4-4000044−1−51+51+5−1+51−51−51+5−1−5−1−51−5−1+5−1+500000000001+51+51−51−500000000−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000
χ8544-44-44-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5004-40000-44001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+5000000−1+51−5−1−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000
χ8644-44-44-44-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500-4400004-4001−5−1+51−51+5−1−51+51−5−1+51−51+5−1−51+50000001−5−1+51+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000
χ8744-44-44-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5004-40000-44001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5000000−1−51+5−1+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000
χ8844-44-44-44-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-4400004-4001+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−50000001+5−1−51−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000
χ8944-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+500440000-4-4001−5−1+51−51+5−1−51+5−1+51−5−1+5−1−51+5−1−5000000−1+5−1+5−1−5−1−5000000001−51−51+51+500000000000000000000000000000000000000000000000
χ9044-44-4-44-44−1+5−1−5−1+5−1−51−51−51+51+500-4-4000044001−5−1+51−51+5−1−51+5−1+51−5−1+5−1−51+5−1−50000001−51−51+51+500000000−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000
χ9144-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−500440000-4-4001+5−1−51+51−5−1+51−5−1−51+5−1−5−1+51−5−1+5000000−1−5−1−5−1+5−1+5000000001+51+51−51−500000000000000000000000000000000000000000000000
χ9244-44-4-44-44−1−5−1+5−1−5−1+51+51+51−51−500-4-4000044001+5−1−51+51−5−1+51−5−1−51+5−1−5−1+51−5−1+50000001+51+51−51−500000000−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000
χ9344-4-444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−54-40000-4400001−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−500−1+51−5−1−51+5000000001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000
χ9444-4-444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4400004-400001−51−5−1+51+51+5−1−51−51−5−1+51+51+5−1−5001−5−1+51+5−1−500000000−1+51−5−1−51+5000000000000000000000000000000000000000000000000000
χ9544-4-444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+54-40000-4400001+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+500−1−51+5−1+51−5000000001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000
χ9644-4-444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4400004-400001+51+5−1−51−51−5−1+51+51+5−1−51−51−5−1+5001+5−1−51−5−1+500000000−1−51+5−1+51−5000000000000000000000000000000000000000000000000000
χ9744-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5440000-4-400001−51−5−1+51+51+5−1−5−1+5−1+51−5−1−5−1−51+500−1+5−1+5−1−5−1−5000000001−51−51+51+5000000000000000000000000000000000000000000000000000
χ9844-4-44-444-4−1+5−1−5−1+5−1−51−51−51+51+5-4-400004400001−51−5−1+51+51+5−1−5−1+5−1+51−5−1−5−1−51+5001−51−51+51+500000000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000
χ9944-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5440000-4-400001+51+5−1−51−51−5−1+5−1−5−1−51+5−1+5−1+51−500−1−5−1−5−1+5−1+5000000001+51+51−51−5000000000000000000000000000000000000000000000000000
χ10044-4-44-444-4−1−5−1+5−1−5−1+51+51+51−51−5-4-400004400001+51+5−1−51−51−5−1+5−1−5−1−51+5−1+5−1+51−5001+51+51−51−500000000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000
χ1018-8000000088-8-8000000000000000000000000000022−2200000000000000000000000022−2222−2222−2222−2200000000000000000000000000000000000
χ1028-8000000088-8-80000000000000000000000000000−2222000000000000000000000000−2222−2222−2222−222200000000000000000000000000000000000
χ1038-80000000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000022−22000000000000000000000000−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ372ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ3100000000000000000000000000000000000
χ1048-80000000−2+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000−22220000000000000000000000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ3100000000000000000000000000000000000
χ1058-80000000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000022−22000000000000000000000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ3900000000000000000000000000000000000
χ1068-80000000−2+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000−22220000000000000000000000002ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ3900000000000000000000000000000000000
χ1078-80000000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000000000000000000022−220000000000000000000000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ1300000000000000000000000000000000000
χ1088-80000000−2−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000−2222000000000000000000000000−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ312ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ1300000000000000000000000000000000000
χ1098-80000000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000000000000000000022−220000000000000000000000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ3700000000000000000000000000000000000
χ1108-80000000−2−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000−2222000000000000000000000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ3700000000000000000000000000000000000

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