Finite Group Databasebeta

← Group #12002849

Character table — Group #12002849

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11111111222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616161640404040404040404040404040404040
order1222222244444444551010101010101010101010101010448888888820202020202020202020202020202020202020202020202040404040404040404040404040404040404040404040404040404040404040404444202020202020202020202020202020204444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ92222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ102222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000
χ112222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+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+520000000000000000
χ122222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+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+52−1−52−1−52−1−52−1−520000000000000000
χ132222222222222222−1−52−1+52−1−52−1−52−1+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+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+520000000000000000
χ142222222222222222−1−52−1+52−1−52−1−52−1+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+52−1+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+521−521−521−521−520000000000000000
χ152222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+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+521−521−521−521−520000000000000000
χ162222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+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+520000000000000000
χ1722222222222-2-2-22-22222222222222222-2-2000000002222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000002200-2-200000000
χ1822222222222-2-2-22-22222222222222222-2-2000000002222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000-2-2002200000000
χ1922222222-2-2-2222-222222222222222222-2-200000000-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000002200-2-20000000000
χ2022222222-2-2-2222-222222222222222222-2-200000000-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-200220000000000
χ2122222222-2-2-2-2-2-2-2-222222222222222222200000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222000000000000000000000000000000002-20022-2-222-2-2000000000000000000000000
χ2222222222-2-2-2-2-2-2-2-222222222222222222200000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222200000000000000000000000000000000-2200-2-222-2-222000000000000000000000000
χ2322222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5222000000001−521−521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000000000
χ2422222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5222000000001−521−521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36-22001−521−52−1+52−1+521+521+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000000000
χ2522222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5222000000001−521−521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000000000
χ2622222222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5222000000001−521−521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000000000
χ2722222222-2-2-2-2-2-2-2-2−1−52−1+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+5222000000001+521+521+521+521+521+521+521+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−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−521+521+52−1+52−1+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000000000
χ2822222222-2-2-2-2-2-2-2-2−1−52−1+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+5222000000001+521+521+521+521+521+521+521+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−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28-22001+521+52−1−52−1−521−521−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000000000
χ2922222222-2-2-2-2-2-2-2-2−1−52−1+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+5222000000001+521+521+521+521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−521+521+52−1+52−1+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000000000
χ3022222222-2-2-2-2-2-2-2-2−1−52−1+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+5222000000001+521+521+521+521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+52−1−52−1−521−521−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000000000
χ3122-22-22-2-20002-2-202222-22-22-2-22-2-22-22-200i2i2i2i2−i2−i2−i2−i2000022-2-200000022-2-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000000002i−2i0022−2−20000
χ3222-22-22-2-20002-2-202222-22-22-2-22-2-22-22-200i2i2i2i2−i2−i2−i2−i2000022-2-200000022-2-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000−2i2i00−2−2220000
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χ1114-444-4-44-4-44-400040−1−5−1+51+5−1−51−5−1+51+5−1−51+51−5−1+51−5−1−51+5−1+51−500−2i22i2−2i22i2−2i22i2−2i22i2−1−51+5−1−51+5000000−1+51−5−1+51−50000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000
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χ1134-44-444-4-40004-440-4−1+5−1−51−5−1+51+5−1−5−1+51−51−5−1−51+51+51−5−1+51+5−1−5000000000000001−5−1+51−5−1+50000001+5−1−51+5−1−5000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000000000000000000000000
χ1144-44-444-4-40004-440-4−1+5−1−51−5−1+51+5−1−5−1+51−51−5−1−51+51+51−5−1+51+5−1−5000000000000001−5−1+51−5−1+50000001+5−1−51+5−1−5000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000000000000000000000000
χ1154-44-444-4-40004-440-4−1−5−1+51+5−1−51−5−1+5−1−51+51+5−1+51−51−51+5−1−51−5−1+5000000000000001+5−1−51+5−1−50000001−5−1+51−5−1+5000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000000000000000000000000000000
χ1164-44-444-4-40004-440-4−1−5−1+51+5−1−51−5−1+5−1−51+51+5−1+51−51−51+5−1−51−5−1+5000000000000001+5−1−51+5−1−50000001−5−1+51−5−1+5000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000000000000000000000000000000
χ1174-44-444-4-4000-44-404−1+5−1−51−5−1+51+5−1−5−1+51−51−5−1−51+51+51−5−1+51+5−1−5002i2−2i2−2i22i2−2i22i22i2−2i20000−1+51−5−1+51−5000000−1−51+5−1−51+5000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39000000000000000000000000000000000000
χ1184-44-444-4-4000-44-404−1+5−1−51−5−1+51+5−1−5−1+51−51−5−1−51+51+51−5−1+51+5−1−500−2i22i22i2−2i22i2−2i2−2i22i20000−1+51−5−1+51−5000000−1−51+5−1−51+5000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39000000000000000000000000000000000000
χ1194-44-444-4-4000-44-404−1−5−1+51+5−1−51−5−1+5−1−51+51+5−1+51−51−51+5−1−51−5−1+5002i2−2i2−2i22i2−2i22i22i2−2i20000−1−51+5−1−51+5000000−1+51−5−1+51−5000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000000000000000000
χ1204-44-444-4-4000-44-404−1−5−1+51+5−1−51−5−1+5−1−51+51+5−1+51−51−51+5−1−51−5−1+500−2i22i22i2−2i22i2−2i2−2i22i20000−1−51+5−1−51+5000000−1+51−5−1+51−5000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000000000000000000
χ1214-4-444-4-440000000044-4-4-4-4-4-44-4-444444002-22-2-22-220000000000000000000000002-22-2-22-222-22-2-22-222-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ1224-4-444-4-440000000044-4-4-4-4-4-44-4-44444400-22-222-22-2000000000000000000000000-22-222-22-2-22-222-22-2-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ1234-4-444-4-4400000000−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1+5−1−5−1−5002-22-2-22-22000000002ζ12−2ζ28−2ζ12+2ζ2800000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ122ζ12−2ζ122ζ122ζ12−2ζ122ζ12−2ζ12−2ζ282ζ28−2ζ282ζ282ζ28−2ζ282ζ28−2ζ28−2ζ362ζ36−2ζ362ζ362ζ36−2ζ362ζ36−2ζ36−2ζ42ζ4−2ζ42ζ42ζ4−2ζ42ζ4−2ζ4000000000000000000000000000000000000
χ1244-4-444-4-4400000000−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1+5−1−5−1−5002-22-2-22-2200000000−2ζ12+2ζ282ζ12−2ζ28000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ282ζ28−2ζ282ζ282ζ28−2ζ282ζ28−2ζ28−2ζ122ζ12−2ζ122ζ122ζ12−2ζ122ζ12−2ζ12−2ζ42ζ4−2ζ42ζ42ζ4−2ζ42ζ4−2ζ4−2ζ362ζ36−2ζ362ζ362ζ36−2ζ362ζ36−2ζ36000000000000000000000000000000000000
χ1254-4-444-4-4400000000−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1+5−1−5−1−500-22-222-22-2000000002ζ12−2ζ28−2ζ12+2ζ2800000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ122ζ12−2ζ12−2ζ122ζ12−2ζ122ζ122ζ28−2ζ282ζ28−2ζ28−2ζ282ζ28−2ζ282ζ282ζ36−2ζ362ζ36−2ζ36−2ζ362ζ36−2ζ362ζ362ζ4−2ζ42ζ4−2ζ4−2ζ42ζ4−2ζ42ζ4000000000000000000000000000000000000
χ1264-4-444-4-4400000000−1+5−1−51−51−51+51+51−51−5−1+51+51+5−1−5−1+5−1+5−1−5−1−500-22-222-22-200000000−2ζ12+2ζ282ζ12−2ζ28000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ28−2ζ282ζ28−2ζ28−2ζ282ζ28−2ζ282ζ282ζ12−2ζ122ζ12−2ζ12−2ζ122ζ12−2ζ122ζ122ζ4−2ζ42ζ4−2ζ4−2ζ42ζ4−2ζ42ζ42ζ36−2ζ362ζ36−2ζ36−2ζ362ζ36−2ζ362ζ36000000000000000000000000000000000000
χ1274-4-444-4-4400000000−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1−5−1+5−1+5002-22-2-22-2200000000−2ζ4+2ζ362ζ4−2ζ3600000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ362ζ36−2ζ362ζ362ζ36−2ζ362ζ36−2ζ36−2ζ42ζ4−2ζ42ζ42ζ4−2ζ42ζ4−2ζ4−2ζ282ζ28−2ζ282ζ282ζ28−2ζ282ζ28−2ζ28−2ζ122ζ12−2ζ122ζ122ζ12−2ζ122ζ12−2ζ12000000000000000000000000000000000000
χ1284-4-444-4-4400000000−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1−5−1+5−1+5002-22-2-22-22000000002ζ4−2ζ36−2ζ4+2ζ36000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ42ζ4−2ζ42ζ42ζ4−2ζ42ζ4−2ζ4−2ζ362ζ36−2ζ362ζ362ζ36−2ζ362ζ36−2ζ36−2ζ122ζ12−2ζ122ζ122ζ12−2ζ122ζ12−2ζ12−2ζ282ζ28−2ζ282ζ282ζ28−2ζ282ζ28−2ζ28000000000000000000000000000000000000
χ1294-4-444-4-4400000000−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1−5−1+5−1+500-22-222-22-200000000−2ζ4+2ζ362ζ4−2ζ3600000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ36−2ζ362ζ36−2ζ36−2ζ362ζ36−2ζ362ζ362ζ4−2ζ42ζ4−2ζ4−2ζ42ζ4−2ζ42ζ42ζ28−2ζ282ζ28−2ζ28−2ζ282ζ28−2ζ282ζ282ζ12−2ζ122ζ12−2ζ12−2ζ122ζ12−2ζ122ζ12000000000000000000000000000000000000
χ1304-4-444-4-4400000000−1−5−1+51+51+51−51−51+51+5−1−51−51−5−1+5−1−5−1−5−1+5−1+500-22-222-22-2000000002ζ4−2ζ36−2ζ4+2ζ36000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ42ζ4−2ζ4−2ζ42ζ4−2ζ42ζ42ζ36−2ζ362ζ36−2ζ36−2ζ362ζ36−2ζ362ζ362ζ12−2ζ122ζ12−2ζ12−2ζ122ζ12−2ζ122ζ122ζ28−2ζ282ζ28−2ζ28−2ζ282ζ28−2ζ282ζ28000000000000000000000000000000000000
χ1314-4-4-4-444444-4-4-44-44−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+54-4000000001−5−1+5−1+51−5−1+51−51−5−1+5−1+5−1+51+5−1−5−1−51+5−1−51+51+5−1−5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-4-444444-4-4-44-44−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−54-4000000001+5−1−5−1−51+5−1−51+51+5−1−5−1−5−1−51−5−1+5−1+51−5−1+51−51−5−1+5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4-4-4444-4-4444-44-4−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51−51+51+54-400000000−1+51−51−5−1+51−5−1+5−1+51−5−1+5−1+5−1−51+51+5−1−51+5−1−5−1−51+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-4-4444-44-4−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51+51−51−54-400000000−1−51+51+5−1−51+5−1−5−1−51+5−1−5−1−5−1+51−51−5−1+51−5−1+5−1+51−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000

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