Finite Group Databasebeta

← Group #12016910

Character table — Group #12016910

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222222222224444444444444444444444888888888888888888888888888888888888161616161616161616161616161616404040404040404080808080
order1224455101010101010222444444410101010202020202020202024881010101010101010202020202020202020202020202020204040404040404040248101010102020202040404040444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1111111-1-1
χ911111111111111-1-11-111-1-1-11111111111111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-1ii−i−iii−i−ii−ii−i
χ1011111111111111-1-11-111-1-1-11111111111111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−ii−ii
χ1111111111111111-1-11-111-1-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111ii−i−iii−i−i−ii−ii
χ1211111111111111-1-11-111-1-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111−i−iii−i−iiii−ii−i
χ1311111111111111-1-11-1-1-111-1111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−ii
χ1411111111111111-1-11-1-1-111-1111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i
χ1511111111111111-1-11-1-1-111-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111ii−i−i−i−iii−iii−i
χ1611111111111111-1-11-1-1-111-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111−i−iiiii−i−ii−i−ii
χ172222222222222-22-2-2-222-2-22-2-2-2-2-2-2-2-22222-220022-2-2-2-2-2-222-2-222222222-2-2-2-200000000000000000000000000000000000
χ182222222222222-22-2-2-2-2-2222-2-2-2-2-2-2-2-222222-20022-2-2222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000
χ192222222222222-2-22-222222-2-2-2-2-2-2-2-2-22222-2-200-2-222-2-2-2-2-2-2222222-2-2-2-2222200000000000000000000000000000000000
χ202222222222222-2-22-22-2-2-2-2-2-2-2-2-2-2-2-2-222222200-2-2222222-2-222-2-2-2-22222-2-2-2-200000000000000000000000000000000000
χ2122222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52000000000000
χ2222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52000000000000
χ2322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+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+521−521−521+521+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+52−1−52−1−52000000000000
χ2422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+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+521−521−521+521+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+52000000000000
χ2522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-222-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2221−521+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+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+52000000000000
χ2622222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-222-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-21−521+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+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+52−1−52−1−52000000000000
χ2722222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22221−521+521−521+521−521−521+521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52000000000000
χ2822222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-2-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-21−521+521−521+521−521−521+521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ2922222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-222-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2200−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ3022222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-222-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2200−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ3122222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-22221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-200−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ3222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-22221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-200−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ3322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-222222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2001−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ3422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-222222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-2001−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ3522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-22-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222001−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000
χ3622222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-22-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5222001−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000
χ3722222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+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+52000000000000
χ3822222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−52000000000000
χ3922222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ4022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+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+521−521−52000000000000
χ4122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2221+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+521−521−521+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+521−521−52000000000000
χ4222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-222-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-21+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+521−521−521+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+52000000000000
χ4322222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22221+521−521+521−521+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000
χ4422222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-21+521−521+521−521+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+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+52000000000000
χ4522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-222-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2200−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ4622222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-222-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2200−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ4722222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2-22221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-200−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ4822222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2-22221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-200−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ4922222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-222222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2001+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ5022222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-222222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-2-2001+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ5122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-22-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222001+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000
χ5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-22-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222001+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000
χ53222-2-22222222222-2-220000-22222-2-2-2-2-2-2-2-2000022-2-20000-2-222000000000000000000000000000000000002i−2i2i−2i00000000
χ54222-2-22222222222-2-220000-22222-2-2-2-2-2-2-2-2000022-2-20000-2-22200000000000000000000000000000000000−2i2i−2i2i00000000
χ55222-2-2222222222-22-2-2000022222-2-2-2-2-2-2-2-20000-2-222000022-2-2000000000000000000000000000000000002-2-2200000000
χ56222-2-2222222222-22-2-2000022222-2-2-2-2-2-2-2-20000-2-222000022-2-200000000000000000000000000000000000-222-200000000
χ57222-2-222222222-2222-20000-2-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000000000000000000000000002-22-20000
χ58222-2-222222222-2222-20000-2-2-2-2-22222-2-2-2-2000022220000-2-2-2-2000000000000000000000000000000000000000-22-220000
χ59222-2-222222222-2-2-22200002-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000000000000000000000000002i−2i−2i2i0000
χ60222-2-222222222-2-2-22200002-2-2-2-22222-2-2-2-20000-2-2-2-200002222000000000000000000000000000000000000000−2i2i2i−2i0000
χ61444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-440000-4−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50000−1+5−1−51−51+500001−51+5−1+5−1−500000000000000000000000000000000000000000000000
χ62444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-44-4-400004−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500001−51+5−1+5−1−50000−1+5−1−51−51+500000000000000000000000000000000000000000000000
χ63444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4444-40000-41−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1−5−1+5−1−500001−51+51−51+500000000000000000000000000000000000000000000000
χ64444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4-444000041−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500001−51+51−51+50000−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000
χ65444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-440000-4−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000−1−5−1+51+51−500001+51−5−1−5−1+500000000000000000000000000000000000000000000000
χ66444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-44-4-400004−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500001+51−5−1−5−1+50000−1−5−1+51+51−500000000000000000000000000000000000000000000000
χ67444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4444-40000-41+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1+5−1−5−1+500001+51−51+51−500000000000000000000000000000000000000000000000
χ68444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4-444000041+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500001+51−51+51−50000−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000
χ6944-44-444-4-4-4-44400000004-40000000004-44-40000000000000000000000004-44-400000000000000000000000000000000000
χ7044-44-444-4-4-4-4440000000-440000000004-44-4000000000000000000000000-44-4400000000000000000000000000000000000
χ7144-44-4−1+5−1−51−51−51+51+5−1+5−1−500000004-402ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−5−1−51+5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−5−1−51+500000000000000000000000000000000000
χ7244-44-4−1+5−1−51−51−51+51+5−1+5−1−500000004-40−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−5−1−51+500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−5−1−51+500000000000000000000000000000000000
χ7344-44-4−1+5−1−51−51−51+51+5−1+5−1−50000000-4402ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+51−5−1−51+500000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+51+5−1−500000000000000000000000000000000000
χ7444-44-4−1+5−1−51−51−51+51+5−1+5−1−50000000-440−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+51−5−1−51+5000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+51+5−1−500000000000000000000000000000000000
χ7544-44-4−1−5−1+51+51+51−51−5−1−5−1+500000004-40−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+5−1+51−500000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+5−1+51−500000000000000000000000000000000000
χ7644-44-4−1−5−1+51+51+51−51−5−1−5−1+500000004-402ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+5−1+51−5000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+5−1+51−500000000000000000000000000000000000
χ7744-44-4−1−5−1+51+51+51−51−5−1−5−1+50000000-440−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−51+5−1+51−5000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−51−5−1+500000000000000000000000000000000000
χ7844-44-4−1−5−1+51+51+51−51−5−1−5−1+50000000-4402ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−51+5−1+51−500000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−51−5−1+500000000000000000000000000000000000
χ7944-4-4444-4-4-4-444000004-400000000000-44-4400000000000000004-44-40000000000000000000000000000000000000000000
χ8044-4-4444-4-4-4-44400000-4400000000000-44-440000000000000000-44-440000000000000000000000000000000000000000000
χ8144-4-44−1+5−1−51−51−51+51+5−1+5−1−5000004-40002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+51+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000−1+51−5−1−51+50000000000000000000000000000000000000000000
χ8244-4-44−1+5−1−51−51−51+51+5−1+5−1−5000004-4000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+51+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000−1+51−5−1−51+50000000000000000000000000000000000000000000
χ8344-4-44−1+5−1−51−51−51+51+5−1+5−1−500000-440002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−5−1+51+5−1−500000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ8444-4-44−1+5−1−51−51−51+51+5−1+5−1−500000-44000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−5−1+51+5−1−5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ8544-4-44−1−5−1+51+51+51−51−5−1−5−1+5000004-4000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−51−5−1+500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000−1−51+5−1+51−50000000000000000000000000000000000000000000
χ8644-4-44−1−5−1+51+51+51−51−5−1−5−1+5000004-40002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−51−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000−1−51+5−1+51−50000000000000000000000000000000000000000000
χ8744-4-44−1−5−1+51+51+51−51−5−1−5−1+500000-44000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+5−1−51−5−1+5000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ8844-4-44−1−5−1+51+51+51−51−5−1−5−1+500000-440002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+5−1−51−5−1+500000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ898-8000880000-8-80000000000000000000000002i2−2i20000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000
χ908-8000880000-8-8000000000000000000000000−2i22i2000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000
χ918-8000−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+250000000000000000000000002i2−2i20000000000000000000000002ζ13+2ζ23−2ζ13−2ζ232ζ7+2ζ37−2ζ7−2ζ372ζ29+2ζ39−2ζ29−2ζ392ζ21+2ζ31−2ζ21−2ζ31000000000000000000000000000
χ928-8000−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25000000000000000000000000−2i22i2000000000000000000000000−2ζ13−2ζ232ζ13+2ζ23−2ζ7−2ζ372ζ7+2ζ37−2ζ29−2ζ392ζ29+2ζ39−2ζ21−2ζ312ζ21+2ζ31000000000000000000000000000
χ938-8000−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+250000000000000000000000002i2−2i20000000000000000000000002ζ7+2ζ37−2ζ7−2ζ372ζ13+2ζ23−2ζ13−2ζ232ζ21+2ζ31−2ζ21−2ζ312ζ29+2ζ39−2ζ29−2ζ39000000000000000000000000000
χ948-8000−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25000000000000000000000000−2i22i2000000000000000000000000−2ζ7−2ζ372ζ7+2ζ37−2ζ13−2ζ232ζ13+2ζ23−2ζ21−2ζ312ζ21+2ζ31−2ζ29−2ζ392ζ29+2ζ39000000000000000000000000000
χ958-8000−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−250000000000000000000000002i2−2i20000000000000000000000002ζ29+2ζ39−2ζ29−2ζ392ζ21+2ζ31−2ζ21−2ζ312ζ7+2ζ37−2ζ7−2ζ372ζ13+2ζ23−2ζ13−2ζ23000000000000000000000000000
χ968-8000−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25000000000000000000000000−2i22i2000000000000000000000000−2ζ29−2ζ392ζ29+2ζ39−2ζ21−2ζ312ζ21+2ζ31−2ζ7−2ζ372ζ7+2ζ37−2ζ13−2ζ232ζ13+2ζ23000000000000000000000000000
χ978-8000−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−250000000000000000000000002i2−2i20000000000000000000000002ζ21+2ζ31−2ζ21−2ζ312ζ29+2ζ39−2ζ29−2ζ392ζ13+2ζ23−2ζ13−2ζ232ζ7+2ζ37−2ζ7−2ζ37000000000000000000000000000
χ988-8000−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25000000000000000000000000−2i22i2000000000000000000000000−2ζ21−2ζ312ζ21+2ζ31−2ζ29−2ζ392ζ29+2ζ39−2ζ13−2ζ232ζ13+2ζ23−2ζ7−2ζ372ζ7+2ζ37000000000000000000000000000

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