Finite Group Databasebeta

← Group #12074711

Character table — Group #12074711

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222444444444444444444444444448888888888888888888888888888161616161616161616161616161616161616404040404040404080808080
order1222225510101010101022444410101010101010102020202020202020202020204444888810102020404040404040404040404040404040408820202020202020204040404040404040222444442444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1111-1-1
χ911111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-11-1-11-111-11-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-11-111-11-1-11-11
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-111111-11-1-11-11-11-11
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-11-111-11-11-11-1
χ1311111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111-1-1111-1-11-1-11
χ1411111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-111-1-1-111-111-1
χ1511111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11-1-1111-1-1-111-1
χ1611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-111-1-1-1111-1-11
χ172222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22000022-2-2000000000000000000-2-22222-2-200000000000000000000
χ182222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2000022-2-200000000000000000022-2-2-2-22200000000000000000000
χ1922222222222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222-2-20000-2-222000000000000000000-2-2-2-2222200000000000000000000
χ2022222222222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2220000-2-2220000000000000000002222-2-2-2-200000000000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+52000000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ25222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+522-2-220000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001−521+52−1+52−1−52−1+52−1−521−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ26222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+522-2-220000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001−521+52−1+52−1−52−1+52−1−521−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ27222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52-222-20000−1+52−1−521−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+52−1−521−521+521−521+52−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ28222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52-222-20000−1+52−1−521−521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+52−1−521−521+521−521+52−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ29222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-200001−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001−521+521−521+52−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ30222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-200001−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001−521+521−521+52−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ31222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22200001−521+52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+52−1−52−1+52−1−521−521+521−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000
χ32222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-22200001−521+52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+52−1−52−1+52−1−521−521+521−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000
χ33222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-222-2-21−521+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+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ34222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2-2-2221−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ35222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2222-2-21−521+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+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ36222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-22-2-2221−521+521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ37222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52000000000000
χ38222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000
χ39222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1+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+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52000000000000
χ40222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ41222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−522-2-220000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38001+521−52−1−52−1+52−1−52−1+521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ42222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−522-2-220000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38001+521−52−1−52−1+52−1−52−1+521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ43222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-222-20000−1−52−1+521+521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−52−1+521+521−521+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ44222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-222-20000−1−52−1+521+521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−52−1+521+521−521+521−52−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ45222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-200001+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38001+521−521+521−52−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ46222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-200001+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38001+521−521+521−52−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ47222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22200001+521−52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−52−1+52−1−52−1+521+521−521+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000
χ48222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-22200001+521−52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−52−1+52−1−52−1+521+521−521+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000
χ49222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+522-22-222-2-21+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ50222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+522-22-2-2-2221+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ51222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+52-22-2222-2-21+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1−52−1+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+52-22-22-2-2221+521−521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ532222-2-2222222222-22-22-2-2-2-2-22222222222-2-222-2-200000000-2-2-2-200000000000000000000000000000000002-2000-2200000
χ542222-2-2222222222-22-22-2-2-2-2-22222222222-2-222-2-200000000-2-2-2-20000000000000000000000000000000000-220002-200000
χ552222-2-2222222222-2-22-22-2-2-2-22222-2-2-2-2-2-222-2-22200000000-2-2220000000000000000000000000000000000002-2200-20000
χ562222-2-2222222222-2-22-22-2-2-2-22222-2-2-2-2-2-222-2-22200000000-2-222000000000000000000000000000000000000-22-20020000
χ572222-2-222222222-222-2-22-2-2-2-2-2-2-2-22222-2-222-2-2220000000022-2-200000000000000000000000000000000000022-200-20000
χ582222-2-222222222-222-2-22-2-2-2-2-2-2-2-22222-2-222-2-2220000000022-2-2000000000000000000000000000000000000-2-220020000
χ592222-2-222222222-22-222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2000000002222000000000000000000000000000000000022000-2-200000
χ602222-2-222222222-22-222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-20000000022220000000000000000000000000000000000-2-20002200000
χ614444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-44-44-41−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+5000000001−51+51−51+50000000000000000000000000000000000000000000000
χ624444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-44-441−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ634444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-444-4-441−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−500000000−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ644444-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44-444-41−51−51+51+51−51−51+51+51−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500000000−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000
χ654444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-44-44-41+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−5000000001+51−51+51−50000000000000000000000000000000000000000000000
χ664444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-44-441+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ674444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-444-4-441+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+500000000−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ684444-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44-444-41+51+51−51−51+51+51−51−51+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−500000000−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000
χ694-4-444-444-4-444-4-40000004-44-4000000000000000000000022−2200000000000022−2222−2222−2222−22000000000000000000000000000000
χ704-4-444-444-4-444-4-40000004-44-40000000000000000000000−2222000000000000−2222−2222−2222−2222000000000000000000000000000000
χ714-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5000000−1+51−5−1−51+500000000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ1400000022−22000000000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39000000000000000000000000000000
χ724-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5000000−1+51−5−1−51+500000000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14000000−22220000000000002ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ39000000000000000000000000000000
χ734-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5000000−1+51−5−1−51+5000000002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ1400000022−22000000000000−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ372ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31000000000000000000000000000000
χ744-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5000000−1+51−5−1−51+5000000002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14000000−22220000000000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ31000000000000000000000000000000
χ754-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5000000−1−51+5−1+51−5000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ3800000022−220000000000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ37000000000000000000000000000000
χ764-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5000000−1−51+5−1+51−5000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38000000−2222000000000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37000000000000000000000000000000
χ774-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5000000−1−51+5−1+51−500000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ3800000022−220000000000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ13000000000000000000000000000000
χ784-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5000000−1−51+5−1+51−500000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38000000−2222000000000000−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ312ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13000000000000000000000000000000
χ794-4-44-4444-4-444-4-4000000-44-440000000000000000000022−2200000022−2222−2222−2222−2200000000000000000000000000000000000000
χ804-4-44-4444-4-444-4-4000000-44-4400000000000000000000−2222000000−2222−2222−2222−222200000000000000000000000000000000000000
χ814-4-44-44−1+5−1−51−51+5−1+5−1−51−51+50000001−5−1+51+5−1−500000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000022−22000000−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ132ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ3900000000000000000000000000000000000000
χ824-4-44-44−1+5−1−51−51+5−1+5−1−51−51+50000001−5−1+51+5−1−500000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000−22220000002ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ13−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ3900000000000000000000000000000000000000
χ834-4-44-44−1+5−1−51−51+5−1+5−1−51−51+50000001−5−1+51+5−1−5000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000022−22000000−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ372ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ3100000000000000000000000000000000000000
χ844-4-44-44−1+5−1−51−51+5−1+5−1−51−51+50000001−5−1+51+5−1−5000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000−22220000002ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ37−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ3100000000000000000000000000000000000000
χ854-4-44-44−1−5−1+51+51−5−1−5−1+51+51−50000001+5−1−51−5−1+5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000022−220000002ζ29−2ζ31−2ζ29+2ζ312ζ21−2ζ39−2ζ21+2ζ39−2ζ7+2ζ132ζ7−2ζ13−2ζ23+2ζ372ζ23−2ζ3700000000000000000000000000000000000000
χ864-4-44-44−1−5−1+51+51−5−1−5−1+51+51−50000001+5−1−51−5−1+5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000−2222000000−2ζ29+2ζ312ζ29−2ζ31−2ζ21+2ζ392ζ21−2ζ392ζ7−2ζ13−2ζ7+2ζ132ζ23−2ζ37−2ζ23+2ζ3700000000000000000000000000000000000000
χ874-4-44-44−1−5−1+51+51−5−1−5−1+51+51−50000001+5−1−51−5−1+500000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000022−220000002ζ21−2ζ39−2ζ21+2ζ392ζ29−2ζ31−2ζ29+2ζ31−2ζ23+2ζ372ζ23−2ζ37−2ζ7+2ζ132ζ7−2ζ1300000000000000000000000000000000000000
χ884-4-44-44−1−5−1+51+51−5−1−5−1+51+51−50000001+5−1−51−5−1+500000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000−2222000000−2ζ21+2ζ392ζ21−2ζ39−2ζ29+2ζ312ζ29−2ζ312ζ23−2ζ37−2ζ23+2ζ372ζ7−2ζ13−2ζ7+2ζ1300000000000000000000000000000000000000
χ8988-8-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800−2+25−2−25−2+25−2−252−252+252−252+2500000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800−2+25−2−25−2+25−2−252−252+252−252+250000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ360000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800−2−25−2+25−2−25−2+252+252−252+252−250000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ280000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800−2−25−2+25−2−25−2+252+252−252+252−2500000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ280000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-80088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800−2+25−2−252−252+252−252+25−2+25−2−25000000000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ36000000000000000000000000000000000000000000000000000000000000000000
χ968-88-800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ36000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ28000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800−2−25−2+252+252−252+252−25−2−25−2+25000000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ28000000000000000000000000000000000000000000000000000000000000000000

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