Finite Group Databasebeta

← Group #11999385

Character table — Group #11999385

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111112222222222222222222222224444444444444444448888888888888888888888888888888888888888888816161616161616161616202020202020202040404040404040408080
order1222222222224444551010101010101010101010101010441010101010101010202020202020202044448888202020202020202020202020202020202020202040404040404040404040404040404040442020202020202020444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i1-1
χ1011111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii-11
χ1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-1111111-1-111-1-1ii−i−i−i−iii-11
χ1211111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1-1-11111-1-111-1-111−i−iiiii−i−i1-1
χ1311111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-1111111-1-111-1-1−i−iiiii−i−i-11
χ1411111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1-1-11111-1-111-1-111ii−i−i−i−iii1-1
χ1511111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii1-1
χ1611111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i-11
χ172222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52000000000000000000
χ182222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−522222-2-2-2-2−1+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+52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ192222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ202222222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000000000
χ222222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ232222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-22222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ242222222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+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+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ25222222222222-2-2-2-22222222222222222-2-222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000002222-2-2-2-20000000000
χ26222222222222-2-2-2-22222222222222222-2-222222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000000000000000-2-2-2-222220000000000
χ2722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-200000000000000000000000000000000000000000022-2-2-2-2220000000000
χ2822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-2000000000000000000000000000000000000000000-2-22222-2-20000000000
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+52−1−52−1−52−1−52221−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+522i2i−2i−2i2i2i−2i−2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ142-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
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+52−1−52−1−52−1−52221−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+522i2i−2i−2i−2i−2i2i2i−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3122222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52221−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+52−2i−2i2i2i2i2i−2i−2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3222222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52221−521−521−521+521+521+521−521+521−521−521+521+521−521−521+521+52−2i−2i2i2i−2i−2i2i2i−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ142-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3322222222-2-2-2-2-2-2-2-2−1−52−1+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+52221+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−522i2i−2i−2i2i2i−2i−2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ382-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3422222222-2-2-2-2-2-2-2-2−1−52−1+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+52221+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−522i2i−2i−2i−2i−2i2i2i−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3522222222-2-2-2-2-2-2-2-2−1−52−1+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+52221+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−52−2i−2i2i2i2i2i−2i−2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3622222222-2-2-2-2-2-2-2-2−1−52−1+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+52221+521+521+521−521−521−521+521−521+521+521−521−521+521+521−521−52−2i−2i2i2i−2i−2i2i2i−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ382-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ37222-22-2-2-222-2-222-2-22222-2-222-2-22-2-22-2-22-222-222-2-2-2-2-2-2-2222200002-22-22-22-2000000000000000022-2-222-2-222-2-222-2-20000000000000000000000000000
χ38222-22-2-2-222-2-222-2-22222-2-222-2-22-2-22-2-22-222-222-2-2-2-2-2-2-222220000-22-222-22-20000000000000000-2-222-2-222-2-222-2-2220000000000000000000000000000
χ39222-22-2-2-222-2-222-2-2−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+522-2−1+52−1+521−52−1−52−1−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-22-2−1+521−52−1−521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+5200−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
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χ1044-444-44-4-4-44-440000−1−5−1+51+5−1−5−1−5−1−51−5−1+5−1+5−1+51+51+51+51−51−51−5001+5−1−5−1−51−5−1+5−1+51+51−5000000000000000000000000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000
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χ1074-44-4-4-4444-4-440000−1+5−1−51−5−1+51−51−51+5−1−51+51+51−5−1+5−1+51+5−1−5−1−500−1+51−5−1+5−1−51+5−1−51−51+5000000000000000000000000000000000000−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−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−ζ390000000000000000000000000000
χ1084-44-4-4-4444-4-440000−1−5−1+51+5−1−51+51+51−5−1+51−51−51+5−1−5−1−51−5−1+5−1+500−1−51+5−1−5−1+51−5−1+51+51−5000000000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−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+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000
χ1094-44-4-4-4444-4-440000−1−5−1+51+5−1−51+51+51−5−1+51−51−51+5−1−5−1−51−5−1+5−1+500−1−51+5−1−5−1+51−5−1+51+51−5000000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−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−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000
χ1104-44-4-4-444-444-4000044-44-4-4-44-4-4-444-44400-44-4-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-4-4-444-444-40000−1+5−1−51−5−1+51−51−51+5−1−51+51+51−5−1+5−1+51+5−1−5−1−5001−5−1+51−51+5−1−51+5−1+5−1−5000000000000000000000000000000000000−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−ζ39ζ7+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+ζ390000000000000000000000000000
χ1124-44-4-4-444-444-40000−1+5−1−51−5−1+51−51−51+5−1−51+51+51−5−1+5−1+51+5−1−5−1−5001−5−1+51−51+5−1−51+5−1+5−1−5000000000000000000000000000000000000ζ7+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−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−ζ390000000000000000000000000000
χ1134-44-4-4-444-444-40000−1−5−1+51+5−1−51+51+51−5−1+51−51−51+5−1−5−1−51−5−1+5−1+5001+5−1−51+51−5−1+51−5−1−5−1+5000000000000000000000000000000000000−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−ζ37ζ21−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+ζ370000000000000000000000000000
χ1144-44-4-4-444-444-40000−1−5−1+51+5−1−51+51+51−5−1+51−51−51+5−1−5−1−51−5−1+5−1+5001+5−1−51+51−5−1+51−5−1−5−1+5000000000000000000000000000000000000ζ21−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+ζ37−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−ζ370000000000000000000000000000
χ1154-4-444-44-40000000044-4-4-44-4-4-4444-444-4000000000000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ1164-4-444-44-40000000044-4-4-44-4-4-4444-444-400000000000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ1174-4-4-444-440000000044-4-44-4-4-44-44-444-4400000000000000000000000000000000000000000000000000000000000000000000000000004-4000000000000
χ1184-4-4-444-440000000044-4-44-4-4-44-44-444-440000000000000000000000000000000000000000000000000000000000000000000000000000-44000000000000
χ1198-8-888-88-800000000−2+25−2−252−252−252−25−2+252+252+252+25−2−25−2+25−2+252−25−2−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-88-800000000−2−25−2+252+252+252+25−2−252−252−252−25−2+25−2−25−2−252+25−2+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-8-888-8800000000−2+25−2−252−252−25−2+252−252+252+25−2−252+25−2+252−25−2+25−2−252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8-888-8800000000−2−25−2+252+252+25−2−252+252−252−25−2+252−25−2−252+25−2−25−2+252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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