Finite Group Databasebeta

← Group #12150350

Character table — Group #12150350

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222222244444444444444444444444444488888888888888888888881616161616161616161616161616161616161616202020204040404040404040404040404040
order1222224444445510101010101044488881010101020202020202020202020202020202020882020202040404040404040404040404040404040248810101010202020204040404040404040888822444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111
χ611111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ711111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111
χ811111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1
χ9111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-11-1111-1-1-111-1-11-1
χ10111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111-11-1-1-1111-1-111-11
χ11111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-11-1-1-11-111-1-1111-1
χ12111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111-1111-11-1-111-1-1-11
χ13111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1111-11-1-1-1-1111-1
χ14111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-1-11-11111-1-1-11
χ15111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-111-1-1-11-1-1-111111-1-11-1
χ16111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-1111-1111-1-1-1-1-111-11
χ17222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−52000000000000000000
χ18222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+52000000000000000000
χ22222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ23222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ24222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2522222222-2-2-2-2222222222-2-22i2i−2i−2i222222-2-222-2-2-2-2-2-2-2-2-2-22i−2i2-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ2622222222-2-2-2-2222222222-2-2−2i−2i2i2i222222-2-222-2-2-2-2-2-2-2-2-2-2−2i2i2-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ2722222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−521+521+521−521+522i−2i−1+521−52−1−521+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
χ2822222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22i2i−2i−2i−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−521+521+521−521+522i−2i−1+521−52−1−521+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000000000
χ2922222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2−2i−2i2i2i−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−521+521+521−521+52−2i2i−1+521−52−1−521+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000000000
χ3022222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2−2i−2i2i2i−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+521−521−521+521+521−521+52−2i2i−1+521−52−1−521+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
χ3122222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22i2i−2i−2i−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+521−521−521+521−522i−2i−1−521+52−1+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+ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000000000
χ3222222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22i2i−2i−2i−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+521−521−521+521−522i−2i−1−521+52−1+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+ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000000000
χ3322222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2−2i−2i2i2i−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+521−521−521+521−52−2i2i−1−521+52−1+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−ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000000000
χ3422222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2−2i−2i2i2i−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−521+521+521−521−521+521−52−2i2i−1−521+52−1+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−ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000000000
χ35222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222−1+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+52−1−52-2-21−521−521+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ36222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22222−1+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+52−1−52-2-21−521−521+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ37222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ38222222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ39222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ40222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ41222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+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+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ42222222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52221+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+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ43222222-2-2-2-2-2-222222222-2222i2i−2i−2i2222-2-222-2-222-2-2-2-2-2-2-2-2−2i2i-22-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ44222222-2-2-2-2-2-222222222-222−2i−2i2i2i2222-2-222-2-222-2-2-2-2-2-2-2-22i−2i-22-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ45222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222i2i−2i−2i−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+521−521−521+521+521−521+52−2i2i1−52−1+521+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000000000
χ46222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2222i2i−2i−2i−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+521−521−521+521+521−521+52−2i2i1−52−1+521+52−1−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
χ47222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−2i−2i2i2i−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+521−521−521+521+521−521+522i−2i1−52−1+521+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
χ48222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222−2i−2i2i2i−1+52−1+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521+521−521−521+521+521−521+522i−2i1−52−1+521+52−1−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ140000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000000000
χ49222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222i2i−2i−2i−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−521+521+521−521−521+521−52−2i2i1+52−1−521−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000000000
χ50222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2222i2i−2i−2i−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−521+521+521−521−521+521−52−2i2i1+52−1−521−52−1+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000000000
χ51222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−2i−2i2i2i−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−521+521+521−521−521+521−522i−2i1+52−1−521−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000000000
χ52222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222−2i−2i2i2i−1−52−1−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521−521+521+521−521−521+521−522i−2i1+52−1−521−52−1+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ380000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000000000
χ532222-2-2222-2-2222222222-22-20000-2-2-2-222222222-2-22222-2-200-2-2-2-20000000000000000000000000000000000002222000000000000-2-2
χ542222-2-2222-2-2222222222-22-20000-2-2-2-222222222-2-22222-2-200-2-2-2-2000000000000000000000000000000000000-2-2-2-200000000000022
χ552222-2-222-222-222222222-2-220000-2-2-2-222-2-222-2-222-2-2-2-22200-22-2200000000000000000000000000000000000000002-200-2200000000
χ562222-2-222-222-222222222-2-220000-2-2-2-222-2-222-2-222-2-2-2-22200-22-220000000000000000000000000000000000000000-22002-200000000
χ572222-2-2-2-22-2-22222222222-220000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-200222200000000000000000000000000000000000022-2-2000000000000-22
χ582222-2-2-2-22-2-22222222222-220000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2002222000000000000000000000000000000000000-2-2220000000000002-2
χ592222-2-2-2-2-222-22222222222-20000-2-2-2-2-2-222-2-22222-2-2-2-222002-22-200000000000000000000000000000000000000002200-2-200000000
χ602222-2-2-2-2-222-22222222222-20000-2-2-2-2-2-222-2-22222-2-2-2-222002-22-20000000000000000000000000000000000000000-2-2002200000000
χ612-2-222-20022-2-222-2-2-2-2220002i−2i2i−2i2-22-200000000222-22-2-2-20000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000002i−2i00002-20000
χ622-2-222-20022-2-222-2-2-2-2220002i−2i2i−2i2-22-200000000222-22-2-2-20000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−2i2i0000-220000
χ632-2-222-20022-2-222-2-2-2-222000−2i2i−2i2i2-22-200000000222-22-2-2-2000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000002i−2i0000-220000
χ642-2-222-20022-2-222-2-2-2-222000−2i2i−2i2i2-22-200000000222-22-2-2-2000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000−2i2i00002-20000
χ652-2-222-200-2-22222-2-2-2-2220002-2-222-22-200000000-2-2-22-22220000002-2-222-2-22000000000000000000000000000000000000002-2002-200
χ662-2-222-200-2-22222-2-2-2-2220002-2-222-22-200000000-2-2-22-22220000002-2-222-2-2200000000000000000000000000000000000000-2200-2200
χ672-2-222-200-2-22222-2-2-2-222000-222-22-22-200000000-2-2-22-2222000000-222-2-222-2000000000000000000000000000000000000002-200-2200
χ682-2-222-200-2-22222-2-2-2-222000-222-22-22-200000000-2-2-22-2222000000-222-2-222-200000000000000000000000000000000000000-22002-200
χ694444-4-4444-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-400001−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−51−51+5−1+5−1+5−1−5−1−51−51+5001−51−51+51+5000000000000000000000000000000000000000000000000000000
χ704444-4-4444-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-400001+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+51+51−5−1−5−1−5−1+5−1+51+51−5001+51+51−51−5000000000000000000000000000000000000000000000000000000
χ714444-4-444-444-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4400001−51−51+51+5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−51−51−51+51+5−1+5−1−5001−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000
χ724444-4-444-444-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4400001+51+51−51−5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+51+51+51−51−5−1−5−1+5001+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000
χ734444-4-4-4-44-4-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4400001−51−51+51+51−51−51−51−51+51+51+51+51−51+5−1+5−1+5−1−5−1−51−51+500−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000
χ744444-4-4-4-44-4-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-4400001+51+51−51−51+51+51+51+51−51−51−51−51+51−5−1−5−1−5−1+5−1+51+51−500−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-4-444-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-400001−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−51−51−51+51+5−1+5−1−500−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-4-444-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-400001+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+51+51+51−51−5−1−5−1+500−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000
χ774-44-4004i−4i0000444-44-4-4-4000000000004i−4i004i−4i000000000000000000000000000000000000000000000000000022−222i2−2i200000000000000
χ784-44-4004i−4i0000444-44-4-4-4000000000004i−4i004i−4i0000000000000000000000000000000000000000000000000000−2222−2i22i200000000000000
χ794-44-400−4i4i0000444-44-4-4-400000000000−4i4i00−4i4i000000000000000000000000000000000000000000000000000022−22−2i22i200000000000000
χ804-44-400−4i4i0000444-44-4-4-400000000000−4i4i00−4i4i0000000000000000000000000000000000000000000000000000−22222i2−2i200000000000000
χ814-4-444-40044-4-4−1+5−1−51−51−51+51+5−1+5−1−50004i−4i4i−4i−1+51−5−1−51+500000000−1+5−1−5−1+51−5−1−51+51−51+5000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000000000
χ824-4-444-40044-4-4−1+5−1−51−51−51+51+5−1+5−1−5000−4i4i−4i4i−1+51−5−1−51+500000000−1+5−1−5−1+51−5−1−51+51−51+50000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000000000
χ834-4-444-40044-4-4−1−5−1+51+51+51−51−5−1−5−1+50004i−4i4i−4i−1−51+5−1+51−500000000−1−5−1+5−1−51+5−1+51−51+51−5000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000000000
χ844-4-444-40044-4-4−1−5−1+51+51+51−51−5−1−5−1+5000−4i4i−4i4i−1−51+5−1+51−500000000−1−5−1+5−1−51+5−1+51−51+51−50000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000000000
χ854-4-444-400-4-444−1+5−1−51−51−51+51+5−1+5−1−50004-4-44−1+51−5−1−51+5000000001−51+51−5−1+51+5−1−5−1+5−1−5000000−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000000000000000
χ864-4-444-400-4-444−1+5−1−51−51−51+51+5−1+5−1−5000-444-4−1+51−5−1−51+5000000001−51+51−5−1+51+5−1−5−1+5−1−50000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000000000000000
χ874-4-444-400-4-444−1−5−1+51+51+51−51−5−1−5−1+50004-4-44−1−51+5−1+51−5000000001+51−51+5−1−51−5−1+5−1−5−1+5000000−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000000000000000
χ884-4-444-400-4-444−1−5−1+51+51+51−51−5−1−5−1+5000-444-4−1−51+5−1+51−5000000001+51−51+5−1−51−5−1+5−1−5−1+50000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000000000000000
χ894-4-44-44004-44-444-4-4-4-4440000000-44-4400000000-4-44-44-444000000000000000000000000000000000000000000000000000000000000
χ904-4-44-44004-44-4−1+5−1−51−51−51+51+5−1+5−1−500000001−5−1+51+5−1−5000000001−51+5−1+51−5−1−51+5−1+5−1−5000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ914-4-44-44004-44-4−1+5−1−51−51−51+51+5−1+5−1−500000001−5−1+51+5−1−5000000001−51+5−1+51−5−1−51+5−1+5−1−500000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ924-4-44-44004-44-4−1−5−1+51+51+51−51−5−1−5−1+500000001+5−1−51−5−1+5000000001+51−5−1−51+5−1+51−5−1−5−1+500000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ934-4-44-44004-44-4−1−5−1+51+51+51−51−5−1−5−1+500000001+5−1−51−5−1+5000000001+51−5−1−51+5−1+51−5−1−5−1+5000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ944-4-44-4400-44-4444-4-4-4-4440000000-44-440000000044-44-44-4-4000000000000000000000000000000000000000000000000000000000000
χ954-4-44-4400-44-44−1+5−1−51−51−51+51+5−1+5−1−500000001−5−1+51+5−1−500000000−1+5−1−51−5−1+51+5−1−51−51+500000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ964-4-44-4400-44-44−1+5−1−51−51−51+51+5−1+5−1−500000001−5−1+51+5−1−500000000−1+5−1−51−5−1+51+5−1−51−51+5000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ974-4-44-4400-44-44−1−5−1+51+51+51−51−5−1−5−1+500000001+5−1−51−5−1+500000000−1−5−1+51+5−1−51−5−1+51+51−5000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ984-4-44-4400-44-44−1−5−1+51+51+51−51−5−1−5−1+500000001+5−1−51−5−1+500000000−1−5−1+51+5−1−51−5−1+51+51−500000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ9988-8-80000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000−4ζ22+4ζ384ζ22−4ζ38004ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-800000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000004ζ22−4ζ38−4ζ22+4ζ3800−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000004ζ6−4ζ14−4ζ6+4ζ14004ζ22−4ζ38−4ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-800000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000−4ζ6+4ζ144ζ6−4ζ1400−4ζ22+4ζ384ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8008i−8i0000−2+25−2−25−2+252−25−2−252+252−252+2500000000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8008i−8i0000−2−25−2+25−2−252+25−2+252−252+252−2500000000000−4ζ6−4ζ144ζ6+4ζ1400−4ζ22−4ζ384ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800−8i8i0000−2+25−2−25−2+252−25−2−252+252−252+25000000000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800−8i8i0000−2−25−2+25−2−252+25−2+252−252+252−25000000000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000

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