Finite Group Databasebeta

← Group #12002547

Character table — Group #12002547

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222224444444444444444444444448888888888888888888888881616161616161616161616161616161616161616404040404040404080808080
order1222224444551010101010102244101010101010101010101010202020202020202044442020202020202020202020202020202020202020444420202020202020202020202020202020444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ92222222222−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ102222222222−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ112222222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+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+52000000000000
χ122222222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ132222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+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+52000000000000
χ142222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ152222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ162222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ1722222222-2-222222222-2-22-2-2-2-2-222-2-222-2-222-2-222-2-200002-22-2000000000000000000000000000000000000000022-2-20000
χ1822222222-2-222222222-2-22-2-2-2-2-222-2-222-2-222-2-222-2-200002-22-20000000000000000000000000000000000000000-2-2220000
χ19222222-2-22222222222-2-2-22-2-2-2-222-2-222-2-2-2-222-2-2220000-22-2200000000000000000000000000000000000022-2-200000000
χ20222222-2-22222222222-2-2-22-2-2-2-222-2-222-2-2-2-222-2-2220000-22-22000000000000000000000000000000000000-2-22200000000
χ21222222-2-2-2-22222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000002-20022-2-222-2-200000000000000000000
χ22222222-2-2-2-22222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000-2200-2-222-2-22200000000000000000000
χ23222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521+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−ζ182-200−1+52−1+521−521−52−1−52−1−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000000000000
χ24222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521+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−ζ18-22001−521−52−1+52−1+521+521+52−1−52−1−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000000000000
χ25222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521+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+ζ182-200−1+52−1+521−521−52−1−52−1−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18000000000000
χ26222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521+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+ζ18-22001−521−52−1+52−1+521+521+52−1−52−1−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18000000000000
χ27222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200001+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−ζ142-200−1−52−1−521+521+52−1+52−1+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000000
χ28222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200001+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−ζ14-22001+521+52−1−52−1−521−521−52−1+52−1+52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000
χ29222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200001+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+ζ142-200−1−52−1−521+521+52−1+52−1+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000000
χ30222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200001+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+ζ14-22001+521+52−1−52−1−521−521−52−1+52−1+52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000000
χ312222-2-22222222222222-2-2-22222-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000002i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ322222-2-22222222222222-2-2-22222-2-2-2-2-2-2-2-2222222220000-2-2-2-2000000000000000000−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
χ332222-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18002i−2i−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7000000000000
χ342222-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−2i2iζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7000000000000
χ352222-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18002i−2iζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7000000000000
χ362222-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−2i2i−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7000000000000
χ372222-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14002i−2i−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19000000000000
χ382222-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−2i2iζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19000000000000
χ392222-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14002i−2iζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19000000000000
χ402222-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−2i2i−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19000000000000
χ412222-2-222-2-222222222-22-22-2-2-2-2-2-222-2-22222-2-222-2-20000-22-22000000000000000000000000000000000000000000002i−2i00
χ422222-2-222-2-222222222-22-22-2-2-2-2-2-222-2-22222-2-222-2-20000-22-2200000000000000000000000000000000000000000000−2i2i00
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.