Finite Group Databasebeta

← Group #72221708

Character table — Group #72221708

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size112222222444444444444888888888888881010101010101010161616161616161616161616161620202020202020204040404040404040404040404040404040404040404040404040404040408080100100100100100100100100200200
order122225510102451010101010101010105510101010101010101010202044442020202010101010101010101020202020202420202020202024888810101010101020204040404040404040404040404040404020208888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111ii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11iiii−i−i−i−i-1-1
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11−i−i−i−iiiii-1-1
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1−i−i−i−iiiii11
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1iiii−i−i−i−i11
χ9111111111-1-1111111111111-1-111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-11111111-11-11-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11-1
χ10111111111-1-1111111111111-1-111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1
χ11111111111-1-1111111111111-1-111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1111111-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-11
χ12111111111-1-1111111111111-1-111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1111111-11-11-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-11
χ13111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1i−i−ii11111111iiii−i−i−i−i−i−i−i−iiiii-1-1ii−i−i−i−iii-11
χ14111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1−iii−i11111111−i−i−i−iiiiiiiii−i−i−i−i-1-1−i−iiiii−i−i-11
χ15111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11−i−iiiii−i−i1-1
χ16111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i−i−iii1-1
χ1722222−1+52−1−52−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52002222−1+52−1−520000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ1822222−1+52−1−52−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-2-2−1+52−1−520000−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000
χ1922222−1+52−1−52−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+52002i2i−2i−2i1−521+5200001−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000000000
χ2022222−1+52−1−52−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+5200−2i−2i2i2i1−521+5200001−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000000000
χ2122222−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1−521−521+522222−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−52002-22-21−521+5200001−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ2222222−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1−521−521+522222−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52-2-2−1+52−1−52−1+52−1+52−1−52−1−5200-22-221−521+5200001−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ2322222−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1−521−521+52-2-2-2-21−521−521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52221−521+521−521−521+521+52002i−2i−2i2i−1+52−1−520000−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000000000
χ2422222−1+52−1−52−1+52−1−52-2-22−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1−521−521+52-2-2-2-21−521−521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521−521+521+52221−521+521−521−521+521+5200−2i2i2i−2i−1+52−1−520000−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000000000
χ2522222−1−52−1+52−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+520000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ2622222−1−52−1+52−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-2-2−1−52−1+520000−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000
χ2722222−1−52−1+52−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-21+521−521+521+521−521−52002i2i−2i−2i1+521−5200001+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000000000
χ2822222−1−52−1+52−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-21+521−521+521+521−521−5200−2i−2i2i2i1+521−5200001+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000000000
χ2922222−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1+521+521−522222−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52002-22-21+521−5200001+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ3022222−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1+521+521−522222−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+5200-22-221+521−5200001+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ3122222−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1+521+521−52-2-2-2-21+521+521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52221+521−521+521+521−521−52002i−2i−2i2i−1−52−1+520000−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000000000
χ3222222−1−52−1+52−1−52−1+52-2-22−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1+521+521−52-2-2-2-21+521+521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521+521−521−52221+521−521+521+521−521−5200−2i2i2i−2i−1−52−1+520000−1−52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000000000
χ33222-2-222220022-2-22-2-22-2-222002-2-2-2-2-2220022-2-2222202-22-200000000000-2-22-22-200000000000000000000000000000000002i−2i002i−2i00
χ34222-2-222220022-2-22-2-22-2-222002-2-2-2-2-2220022-2-2222202-22-200000000000-2-22-22-20000000000000000000000000000000000−2i2i00−2i2i00
χ35222-2-222220022-2-22-2-22-2-222002-2-2-2-2-22200-2-222-2-2-2-202-22-20000000000022-22-2200000000000000000000000000000000002-200-2200
χ36222-2-222220022-2-22-2-22-2-222002-2-2-2-2-22200-2-222-2-2-2-202-22-20000000000022-22-220000000000000000000000000000000000-22002-200
χ3722-22-22222002-22-2-22-22-2-22200-22-2-2-2-222002-22-222220-22-2200000000000-2-2-22-22000000000000000000000000000000002i−2i002i−2i0000
χ3822-22-22222002-22-2-22-22-2-22200-22-2-2-2-222002-22-222220-22-2200000000000-2-2-22-2200000000000000000000000000000000−2i2i00−2i2i0000
χ3922-22-22222002-22-2-22-22-2-22200-22-2-2-2-22200-22-22-2-2-2-20-22-2200000000000222-22-2000000000000000000000000000000002-200-220000
χ4022-22-22222002-22-2-22-22-2-22200-22-2-2-2-22200-22-22-2-2-2-20-22-2200000000000222-22-200000000000000000000000000000000-22002-20000
χ4122-2-2222222-22-2-22-2-222222222-2-2222222-2-22-2-2222222-2-2-2-22222-2-2-2-2-2-2222-2-2-2-2000000-2-20000220000000000000000000000000000
χ4222-2-2222222-22-2-22-2-222222222-2-2222222-2-2-222-2-2-2-2-22-2-2-2-22222-2-2-2-2-22-2-2-22222000000220000-2-20000000000000000000000000000
χ4322-2-222222-222-2-22-2-2222222-2-2-2-2222222222-2-222222-2-2-2-2-2-2-2-2-2222222-222-2-2-2-2000000220000-2-20000000000000000000000000000
χ4422-2-222222-222-2-22-2-2222222-2-2-2-222222222-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-22-2-22222000000-2-20000220000000000000000000000000000
χ4522-2-22−1+52−1−52−1+52−1−522-221−521−52−1+521+521+52−1−52222−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+522-2-22−1+52−1+52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+52-22−1+52−1−521−521−521+521+520000001−521+520000−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000000000000
χ4622-2-22−1+52−1−52−1+52−1−522-221−521−52−1+521+521+52−1−52222−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+522-2-22−1+52−1+52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+52-22−1+52−1−521−521−521+521+520000001−521+520000−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000000000000
χ4722-2-22−1+52−1−52−1+52−1−522-221−521−52−1+521+521+52−1−52222−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52-222-21−521−521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52000000−1+52−1−5200001−521+52ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ4822-2-22−1+52−1−52−1+52−1−522-221−521−52−1+521+521+52−1−52222−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52-222-21−521−521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52-21−521−521+521+522-21−521+52−1+52−1+52−1−52−1−52000000−1+52−1−5200001−521+52−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18000000000000
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χ968-800088-8-800-2000000225−25-2-2000025−2525−252200000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000000000000000
χ978-800088-8-800-2000000225−25-2-2000025−2525−25220000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000000000000000
χ988-800088-8-800-20000002−2525-2-20000−2525−2525220000000000000000000000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000
χ998-800088-8-800-20000002−2525-2-20000−2525−25252200000000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000
χ1008-8000−2+25−2−252−252+25008000000-800−2+25−2−25000000002−252+25000000−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ70000000000000000000000000000000000000000000000000000000000000000
χ1018-8000−2+25−2−252−252+25008000000-800−2+25−2−25000000002−252+250000004ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ70000000000000000000000000000000000000000000000000000000000000000
χ1028-8000−2−25−2+252+252−25008000000-800−2−25−2+25000000002+252−250000004ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000
χ1038-8000−2−25−2+252+252−25008000000-800−2−25−2+25000000002+252−25000000−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000
χ10416-16000−4+45−4−454−454+4500-4000000445−451−51+500005−5−5+5−5−55+5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000
χ10516-16000−4+45−4−454−454+4500-40000004−45451−51+50000−5+55−55+5−5−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000
χ10616-16000−4−45−4+454+454−4500-4000000445−451+51−50000−5−55+55−5−5+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-16000−4−45−4+454+454−4500-40000004−45451+51−500005+5−5−5−5+55−5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.