Finite Group Databasebeta

← Group #12018747

Character table — Group #12018747

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222224444444444444444448888888888888888888888888888888888888816161616161616161616161616161640404040808080808080
order1222225510101010101022224410101010101010101010101022444410101010101010101010101020202020202020202020202020202020202020204442020202020202020202020204444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1
χ611111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ711111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-11-1-111
χ811111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111-111-1-1
χ9222222222222222-22-2-2-2222222222222220000-2-2-2-222222222-2-2-2-20000000000000000-200-2-2-2-2000000000000000000
χ10222222222222222-22-2-2-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002002222000000000000000000
χ1122222222222222-22-22-2-222-2-2-2-222-2-2-2-2000000222200000000-2-2-2-2000000000000000000000000000000022000-20000
χ1222222222222222-22-22-2-222-2-2-2-222-2-2-2-2000000222200000000-2-2-2-20000000000000000000000000000000-2-200020000
χ1322222222222222-2-2-2-22222-2-2-2-222-2-2-2-2000000-2-2-2-200000000222200000000000000000000000000000000022-200000
χ1422222222222222-2-2-2-22222-2-2-2-222-2-2-2-2000000-2-2-2-2000000002222000000000000000000000000000000000-2-2200000
χ15222222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
χ16222222−1+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+52−1−52−1−5222-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000000000
χ17222222−1+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+52−1−52−1−52-2-22222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520000000000
χ18222222−1+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+52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522200001−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18-2001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522200001−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18-2001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-200001−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18200−1+52−1+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ180000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-200001−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18200−1+52−1+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ180000000000
χ23222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+520000000000
χ24222222−1−52−1+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+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000000000
χ25222222−1−52−1+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+52-2-22222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520000000000
χ26222222−1−52−1+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+52-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2221+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522200001+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14-2001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522200001+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14-2001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-200001+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14200−1−52−1−52−1+52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ140000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-200001+521+521−521−521+521+521+521+521−521−521−521−521+521+521−521−52ζ2−ζ18ζ2−ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14200−1−52−1−52−1+52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ140000000000
χ312-22-2-222222-2-2-2-222-2-2-22-2-2222222-2-2-2-20000002-22-2000000002-22-2000000000000000002i−2i00002i−2i2i−2i2i−2i2i−2i0000000000
χ322-22-2-222222-2-2-2-222-2-2-22-2-2222222-2-2-2-20000002-22-2000000002-22-200000000000000000−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000
χ332-22-2-222222-2-2-2-22-2-222-2-2-2222222-2-2-2-2002i−2i2i−2i-22-2200000000-22-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000
χ342-22-2-222222-2-2-2-22-2-222-2-2-2222222-2-2-2-200−2i2i−2i2i-22-2200000000-22-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000
χ352-22-2-222222-2-2-2-2-222-22-2-2-2-2-2-2-22222220000002-22-200000000-22-220000000000000000000000000000000000000002i−2i
χ362-22-2-222222-2-2-2-2-222-22-2-2-2-2-2-2-22222220000002-22-200000000-22-22000000000000000000000000000000000000000−2i2i
χ372-22-2-222222-2-2-2-2-2-222-22-2-2-2-2-2-2222222000000-22-22000000002-22-200000000000000000000000000000000000002-200
χ382-22-2-222222-2-2-2-2-2-222-22-2-2-2-2-2-2222222000000-22-22000000002-22-20000000000000000000000000000000000000-2200
χ392-22-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000−1+521−52−1−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−1+521−52−1−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ702i−2iζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ70000000000
χ402-22-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000−1+521−52−1−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−1+521−52−1−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ70−2i2iζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ70000000000
χ412-22-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000−1+521−52−1−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−1+521−52−1−521+52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ70−2i2i−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ70000000000
χ422-22-2-22−1+52−1−52−1+52−1−521−521−521+521+5222-2-2-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000−1+521−52−1−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−1+521−52−1−521+52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ702i−2i−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ70000000000
χ432-22-2-22−1+52−1−52−1+52−1−521−521−521+521+522-2-222-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52002i−2i2i−2i1−52−1+521+52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ181−52−1+521+52−1−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ70000000000
χ442-22-2-22−1+52−1−52−1+52−1−521−521−521+521+522-2-222-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52002i−2i2i−2i1−52−1+521+52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ181−52−1+521+52−1−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ70000000000
χ452-22-2-22−1+52−1−52−1+52−1−521−521−521+521+522-2-222-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200−2i2i−2i2i1−52−1+521+52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ181−52−1+521+52−1−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ70000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.