Finite Group Databasebeta

← Group #12078065

Character table — Group #12078065

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size11112222222222222222444444444444444444444448888888888888888888888888888161616161616161616161616161616161616202020202020202040404040404040408080
order1222444444445510101010101024410101010202020202020202020202020202020202244888820202020404040404040404040404040404040408810101010202020204040404040404040444444442244888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-11111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11-11-1-1-1-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-11-111111-1-1
χ911111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-1
χ1011111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111-11
χ1111111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-11
χ1211111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-11-1
χ1311111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-11
χ1411111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ1511111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1
χ1611111-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-11
χ17222222222222−1+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+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52000000000000000000
χ18222222222222−1+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+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+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ19222222222222−1+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+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ20222222222222−1+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+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+52221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222222222−1−52−1+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+52−1−52−1−52−1+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+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+52000000000000000000
χ22222222222222−1−52−1+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+52−1−52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ23222222222222−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ24222222222222−1−52−1+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+52−1−52−1−52−1+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+521−521−521−521−52221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ252222222-2-2-2-22222222222-2-22222222222-2-2-2-2-2-2-2-22200000000-2-2-2-20000000000000000000000000000000000002200-2-2020-2000000
χ262222222-2-2-2-22222222222-2-22222222222-2-2-2-2-2-2-2-22200000000-2-2-2-2000000000000000000000000000000000000-2-200220-202000000
χ2722222-2-222-2-2222222222-22-2-2-2-2-222-2-2-2-22222-2-2-2-2220000000022-2-20000000000000000000000000000000000002200220-20-2000000
χ2822222-2-222-2-2222222222-22-2-2-2-2-222-2-2-2-22222-2-2-2-2220000000022-2-2000000000000000000000000000000000000-2-200-2-20202000000
χ2922222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-21−521+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+522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3022222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3122222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-21−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3222222-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2221−521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3322222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+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+5222-2-222-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3422222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+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+5222-2-2-2-2221+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+52−1+52−1+52-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3522222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+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+52-2-22222-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3622222-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-221+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+52-2-222-2-2221+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+52−1+52−1+522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ372222-2222222-222222222-2-2-2-2-2-2-2-2-2222222222222-2-200000000-2-2-2-2000000000000000000000000000000000022002200-20-20000000
χ382222-2222222-222222222-2-2-2-2-2-2-2-2-2222222222222-2-200000000-2-2-2-20000000000000000000000000000000000-2-200-2-2002020000000
χ392222-222-2-2-2-2-222222222-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-22-22-2000022220000000000000000002-22-22-22-200000000000000000000000000
χ402222-222-2-2-2-2-222222222-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-22-2200002222000000000000000000-22-22-22-2200000000000000000000000000
χ412222-222-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+522-22-20000−1+52−1−52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1+521−52−1−521+52−1+521−52−1−521+52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
χ422222-222-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+522-22-20000−1+52−1−52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1+521−52−1−521+52−1+521−52−1−521+52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000000000
χ432222-222-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52-22-220000−1+52−1−52−1+52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001−52−1+521+52−1−521−52−1+521+52−1−52ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14000000000000000000
χ442222-222-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2221−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+52-22-220000−1+52−1−52−1+52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001−52−1+521+52−1−521−52−1+521+52−1−52−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14000000000000000000
χ452222-222-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−522-22-20000−1−52−1+52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ3800−1−521+52−1+521−52−1−521+52−1+521−52ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38000000000000000000
χ462222-222-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−522-22-20000−1−52−1+52−1−52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ3800−1−521+52−1+521−52−1−521+52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000000000
χ472222-222-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2221+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−52-22-220000−1−52−1+52−1−52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38001+52−1−521−52−1+521+52−1−521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38000000000000000000
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χ954-44-40−4i4i−4i4i4-40−1+5−1−5−1+51−5−1−51+51−51+50000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−1+51−5−1−51+50000002i2−2i2−22220000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000000
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χ974-44-40−4i4i−4i4i4-40−1−5−1+5−1−51+5−1+51−51+51−50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−1−51+5−1+51−50000002i2−2i2−22220000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−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+ζ37000000000000000000000000000000000000
χ984-44-40−4i4i−4i4i4-40−1−5−1+5−1−51+5−1+51−51+51−50000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−1−51+5−1+51−5000000−2i22i222−220000−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+ζ37ζ21+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−ζ37000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.