Finite Group Databasebeta

← Group #10614984

Character table — Group #10614984

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size111111112222222222222222222222222222444444444444444444444444888888888888888888881010101010101010101010101010101040404040
order1222222244444444444455101010101010101010101010101020202020202020202020202020202020202020202020202044442020202020202020202020202020202044444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ1111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ1311111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ1411111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ1611111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ1722222222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000000000
χ1822222222222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ1922222222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ2022222222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−5200000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+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+5200000000000000000000
χ22222222222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+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+52−1−52−1−5200000000000000000000
χ23222222222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−521+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+521−521−5200000000000000000000
χ24222222222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+521−521−521−521−521+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+5200000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2−1+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+52−1−521−521−521−521−521+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+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+5200000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2−1+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+52−1−521−521−521−521−521+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ2722222222-2-2-2-22222-2-2-2-2−1−52−1+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+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+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ2822222222-2-2-2-22222-2-2-2-2−1−52−1+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+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+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ2922222222-2-2-2-2-2-2-2-22222−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ3022222222-2-2-2-2-2-2-2-22222−1+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ3122222222-2-2-2-2-2-2-2-22222−1−52−1+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+521+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+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+5200000000000000000000
χ3222222222-2-2-2-2-2-2-2-22222−1−52−1+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+521+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+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ33222-2-2-2-2222-2-222-2-222-2-222-2-2-2-2-2-2-2-222222222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ34222-2-2-2-2222-2-222-2-222-2-2−1+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+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000000000
χ35222-2-2-2-2222-2-222-2-222-2-2−1+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+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000000000
χ36222-2-2-2-2222-2-222-2-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000000000
χ37222-2-2-2-2222-2-222-2-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000000000
χ38222-2-2-2-2222-2-2-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ39222-2-2-2-2222-2-2-2-222-2-222−1+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+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000000000
χ40222-2-2-2-2222-2-2-2-222-2-222−1+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+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000000000
χ41222-2-2-2-2222-2-2-2-222-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000000000
χ42222-2-2-2-2222-2-2-2-222-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000000000
χ43222-2-2-2-22-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ44222-2-2-2-22-2-22222-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000000000
χ45222-2-2-2-22-2-22222-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000000000
χ46222-2-2-2-22-2-22222-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000000000
χ47222-2-2-2-22-2-22222-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000000000
χ48222-2-2-2-22-2-222-2-22222-2-222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ49222-2-2-2-22-2-222-2-22222-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000000000
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χ51222-2-2-2-22-2-222-2-22222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−520000ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000000000
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χ7744-444-4-4-400004-44-40000−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+51−51+500000000−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000000000
χ7844-444-4-4-400004-44-40000−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−51+51−500000000−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000
χ7944-444-4-4-40000-44-440000−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+51−5−1−51+51−51+5000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000
χ8044-444-4-4-40000-44-440000−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−51+5−1+51−51+51−5000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000
χ8144-4-4-444-400004-4-440000−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+51−51+500000000−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000000000000000000000000000000000
χ8244-4-4-444-400004-4-440000−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−51+51−500000000−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000000000000000000000000000000000
χ8344-4-4-444-40000-444-40000−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+51−5−1−51+51−51+5000000001−5−1+5−1+51−51+5−1−5−1−51+5000000000000000000000000000000000000000000000000
χ8444-4-4-444-40000-444-40000−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−51+5−1+51−51+51−5000000001+5−1−5−1−51+51−5−1+5−1+51−5000000000000000000000000000000000000000000000000
χ854-444-44-4-44-44-400000000−1+5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−5−1+51+5−1−51−51+5−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000000000000000
χ864-444-44-4-44-44-400000000−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+5−1−51−5−1+51+51−5−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000000000000000
χ874-444-44-4-4-44-4400000000−1+5−1−5−1+51−5−1+51−5−1−51+5−1−51+51−5−1+51+5−1−51−51+51−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000000000000000
χ884-444-44-4-4-44-4400000000−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−51+5−1−51−5−1+51+51−51+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000000000000000
χ894-44-44-44-44-4-4400000000−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−51−51+5−1+51−51−5−1+5−1−51+51+5−1−500000000000000000000000000000000000000000000000000000000
χ904-44-44-44-44-4-4400000000−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+51+51−5−1−51+51+5−1−5−1+51−51−5−1+500000000000000000000000000000000000000000000000000000000
χ914-44-44-44-4-444-400000000−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−51−5−1+51+5−1−51−51+51−5−1+5−1+51−51+5−1−5−1−51+500000000000000000000000000000000000000000000000000000000
χ924-44-44-44-4-444-400000000−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+51+5−1−51−5−1+51+51−51+5−1−5−1−51+51−5−1+5−1+51−500000000000000000000000000000000000000000000000000000000
χ934-4-44-4-444000000004-44-4−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51−51+51+5−1+5−1−50000000000000000−1+51−5−1+51−5−1−51+5−1−51+50000000000000000000000000000000000000000
χ944-4-44-4-444000000004-44-4−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51+51−51−5−1−5−1+50000000000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000
χ954-4-44-4-44400000000-44-44−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−51−51+51+5−1+5−1−500000000000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000
χ964-4-44-4-44400000000-44-44−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+51+51−51−5−1−5−1+500000000000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000
χ974-4-4-444-44000000004-4-44−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+5−1+5−1−50000000000000000−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000000000
χ984-4-4-444-44000000004-4-44−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−5−1−5−1+50000000000000000−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000000000
χ994-4-4-444-4400000000-444-4−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−51−51+51+5−1+5−1−500000000000000001−5−1+5−1+51−51+5−1−5−1−51+50000000000000000000000000000000000000000
χ1004-4-4-444-4400000000-444-4−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+51+51−51−5−1−5−1+500000000000000001+5−1−5−1−51+51−5−1+5−1+51−50000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).