Finite Group Databasebeta

← Group #12119687

Character table — Group #12119687

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111111112222222222222222222222224444444444444444444444888888888888888888888888888888888888888888888816161616161616162020202020202020202020202020202020202020404040404040
order1222222244444444551010101010101010101010101010444444202020202020202020202020202020202244448888202020202020202020202020202020202020202040404040404040404040404040404040101010102020202022444444444488888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1
χ51111111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111
χ71111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ1011111111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1111111111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1211111111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1111111-1-1-1-1
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-1
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-111
χ1711-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-11-11-1i−i1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i1-1i−i1-111-1-1i−i11-1-1ii−i−i1-1i−ii−i
χ1811-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-11-11-1i−i1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i-11−ii-11-1-111−ii-1-111−i−iii-11−ii−ii
χ1911-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-1-111-1−ii-11−iiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−i−iii1-1i−i1-1-1-111i−i-1-111−i−iii1-1−iii−i
χ2011-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−iii−i−i11-1-1iiii−i−i−i−i11-1-1-111-1−ii-11−iiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−i−iii-11−ii-1111-1-1−ii11-1-1ii−i−i-11i−i−ii
χ2111-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−i−i−iii11-1-1iiii−i−i−i−i11-1-11-1-11i−i-11−iiii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i1-1i−i1-111-1-1i−i-1-111−i−iii-11i−i−ii
χ2211-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−i−i−iii11-1-1iiii−i−i−i−i11-1-11-1-11i−i-11−iiii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i-11−ii-11-1-111−ii11-1-1ii−i−i1-1−iii−i
χ2311-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−i−i−iii11-1-1iiii−i−i−i−i11-1-1-11-11−ii1-1i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii1-1i−i1-1-1-111i−i11-1-1ii−i−i-11−ii−ii
χ2411-11-1-11-1ii−i−i-111-11111-1-111-1-1-1-111-1-1i−i−i−iii11-1-1iiii−i−i−i−i11-1-1-11-11−ii1-1i−iii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii-11−ii-1111-1-1−ii-1-111−i−iii1-1i−ii−i
χ2511-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−iiii−i−i11-1-1−i−i−i−iiiii11-1-11-1-11−ii-11i−i−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1−i−iii1-1−ii1-111-1-1−ii-1-111ii−i−i-11−iii−i
χ2611-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−iiii−i−i11-1-1−i−i−i−iiiii11-1-11-1-11−ii-11i−i−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1−i−iii-11i−i-11-1-111i−i11-1-1−i−iii1-1i−i−ii
χ2711-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−iiii−i−i11-1-1−i−i−i−iiiii11-1-1-11-11i−i1-1−ii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i1-1−ii1-1-1-111−ii11-1-1−i−iii-11i−ii−i
χ2811-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−iiii−i−i11-1-1−i−i−i−iiiii11-1-1-11-11i−i1-1−ii−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i-11i−i-1111-1-1i−i-1-111ii−i−i1-1−ii−ii
χ2911-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-11-11-1−ii1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii1-1−ii1-111-1-1−ii11-1-1−i−iii1-1−ii−ii
χ3011-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-11-11-1−ii1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii-11i−i-11-1-111i−i-1-111ii−i−i-11i−ii−i
χ3111-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-1-111-1i−i-11i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111ii−i−i1-1−ii1-1-1-111−ii-1-111ii−i−i1-1i−i−ii
χ3211-11-1-11-1−i−iii-111-11111-1-111-1-1-1-111-1-1−ii−i−iii11-1-1−i−i−i−iiiii11-1-1-111-1i−i-11i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111ii−i−i-11i−i-1111-1-1i−i11-1-1−i−iii-11−iii−i
χ332222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000000000
χ342222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52-2-222-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+5200000000000000000000000000
χ352222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1−5222-2-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+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+52−1−5200000000000000000000000000
χ362222222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1−52-2-2-2-2-2-22222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000000000000000000000
χ372222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+522222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000000000
χ382222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+52-2-222-2-2-2-2-2-2−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−5200000000000000000000000000
χ392222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+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+5222-2-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+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+5200000000000000000000000000
χ402222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1+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+52-2-2-2-2-2-22222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−5200000000000000000000000000
χ41222222222222-2-2-2-22222222222222222-2-20000-2-2-2-222222222-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000022-2-2-2-200002200000000000000
χ42222222222222-2-2-2-22222222222222222-2-20000-2-2-2-222222222-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000-2-222220000-2-200000000000000
χ4322222222-2-2-2-22222−1+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+52−1−52-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−5222-2-2-2-2-2-2221−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−521−521+521−521+5200000000000000000000000000
χ4422222222-2-2-2-22222−1+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+52−1−52-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-2-2-22222-2-21−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000000000
χ4522222222-2-2-2-22222−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−522222-2-222-2-21−521+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+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+52−1−521−521+521−521+5200000000000000000000000000
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χ1164-4-4444-4-44i−4i−4i4i0000−1−5−1+51+51−5−1−5−1+51+51−51+5−1−51−5−1+5−1−5−1+51+51−50000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000000
χ1174-4-4444-4-4−4i4i4i−4i000044-4-444-4-4-44-4444-4-40000000000−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1184-4-4444-4-4−4i4i4i−4i0000−1+5−1−51−51+5−1+5−1−51−51+51−5−1+51+5−1−5−1+5−1−51−51+500000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000000000000000000000000000000
χ1194-4-4444-4-4−4i4i4i−4i0000−1+5−1−51−51+5−1+5−1−51−51+51−5−1+51+5−1−5−1+5−1−51−51+500000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390000000000000000000000000000000000
χ1204-4-4444-4-4−4i4i4i−4i0000−1−5−1+51+51−5−1−5−1+51+51−51+5−1−51−5−1+5−1−5−1+51+51−500000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000000
χ1214-4-4444-4-4−4i4i4i−4i0000−1−5−1+51+51−5−1−5−1+51+51−51+5−1−51−5−1+5−1−5−1+51+51−500000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000000
χ1224-4-4-44-44400004-44-444-4-44444-4-4-4-4-4-444000000444400000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-4-44-44400004-44-4−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−5000000−1+5−1−5−1+5−1−5000000001−51+51−51+500000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000000000000000000000000
χ1244-4-4-44-44400004-44-4−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−5000000−1+5−1−5−1+5−1−5000000001−51+51−51+5000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000000000000000000000000
χ1254-4-4-44-44400004-44-4−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+5000000−1−5−1+5−1−5−1+5000000001+51−51+51−5000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000000000000000000000000
χ1264-4-4-44-44400004-44-4−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+5000000−1−5−1+5−1−5−1+5000000001+51−51+51−500000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000000000000000000000000
χ1274-4-4-44-4440000-44-44−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−5004-4-441−51+51−51+500000000−1+5−1−5−1+5−1−50000000000000000000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000
χ1284-4-4-44-4440000-44-44−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+51−51+5−1+5−1−500-444-41−51+51−51+500000000−1+5−1−5−1+5−1−500000000000000000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000
χ1294-4-4-44-4440000-44-44−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+5004-4-441+51−51+51−500000000−1−5−1+5−1−5−1+50000000000000000000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000
χ1304-4-4-44-4440000-44-44−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−51+51−5−1−5−1+500-444-41+51−51+51−500000000−1−5−1+5−1−5−1+500000000000000000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000
χ131888-88-8-8-800000000−2+25−2−25−2+25−2−25−2+25−2−252−252+25−2+252−25−2−252+252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ132888-88-8-8-800000000−2−25−2+25−2−25−2+25−2−25−2+252+252−25−2−252+25−2+252−252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13388-8-8-88-8800000000−2+25−2−25−2+25−2−252−252+252−252+252−25−2+252+25−2−252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-8-88-8800000000−2−25−2+25−2−25−2+252+252−252+252−252+25−2−252−25−2+252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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