Finite Group Databasebeta

← Group #489619

Character table — Group #489619

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222224444444444444444444444444488888888888888161616161616161632323232
order12222244444444888888884444448888161616161616161616161616161616164488881616161616161616222444442488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1
χ611111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111
χ711111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-111
χ811111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1111-1-1
χ91111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111-11-1-1-11-11-1
χ101111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-11-1111-11-11
χ111111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111111-11-1-1-1-11-11
χ121111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1-11-11111-11-1
χ131111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-11111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111111-11-1-1-111-1-11
χ141111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-11111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-11-1111-1-111-1
χ151111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-111-11-1-1-11-111-1
χ161111-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1-11-1111-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000022-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22-2-22-2-2-2-2-2-20000000000000000-2-2222200000000000000000000
χ1922222222-2-22-2-2222222222-200-200-2-2-2-2000000000000000000000000000000002-2-20020000
χ2022222222-2-22-2-2222222222-200-200-2-2-2-200000000000000000000000000000000-22200-20000
χ2122222222-2-22-2-22-2-2-2-2-2-2-2-2-200-20022220000000000000000000000000000002-20002-200000
χ2222222222-2-22-2-22-2-2-2-2-2-2-2-2-200-2002222000000000000000000000000000000-22000-2200000
χ23222222-2-2-2-2-222-200000000222-2-2-200002222−2−2−2−22222−2−2−2−22-2000022−2−222−2−2000000000000
χ24222222-2-2-2-2-222-200000000222-2-2-20000−2−2−2−22222−2−2−2−222222-20000−2−222−2−222000000000000
χ25222222-2-2-2-2-222-2000000002-2-2-22200002222−2−2−2−22222−2−2−2−2-220000−2−222−2−222000000000000
χ26222222-2-2-2-2-222-2000000002-2-2-2220000−2−2−2−22222−2−2−2−22222-22000022−2−222−2−2000000000000
χ272222-2-22222-222-200000000-222-22200002222−2−2−2−2−2−2−2−22222-2-2000022−2−2−2−222000000000000
χ282222-2-22222-222-200000000-222-2220000−2−2−2−222222222−2−2−2−2-2-20000−2−22222−2−2000000000000
χ292222-2-22222-222-200000000-2-2-2-2-2-200002222−2−2−2−2−2−2−2−22222220000−2−22222−2−2000000000000
χ302222-2-22222-222-200000000-2-2-2-2-2-20000−2−2−2−222222222−2−2−2−222000022−2−2−2−222000000000000
χ312222-2-2-2-2222-2-2222-2-2-2-222200-20022-2-20000000000000000000000000000000022-200-20000
χ322222-2-2-2-2222-2-2222-2-2-2-222200-20022-2-200000000000000000000000000000000-2-220020000
χ332222-2-2-2-2222-2-22-2-22222-2-2200-200-2-2220000000000000000000000000000002-2000-2200000
χ342222-2-2-2-2222-2-22-2-22222-2-2200-200-2-222000000000000000000000000000000-220002-200000
χ352222-2-2-2-2-2-22222-2-22222-2-2-2222-2-222-2-20000000000000000-22-2-22200000000000000000000
χ362222-2-2-2-2-2-22222-2-22222-2-2-2-2-222222-2-200000000000000002-222-2-200000000000000000000
χ372-22-2002i−2i2i−2i02-202−2i2i2−i2−i22−202-202i−2ii2−i22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5002−2i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ382-22-2002i−2i2i−2i02-202−2i2i2−i2−i22−202-202i−2ii2−i22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5002−2i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ392-22-2002i−2i2i−2i02-202−2i2i2−i2−i22−20-220−2i2ii2−i22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500−22−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ402-22-2002i−2i2i−2i02-202−2i2i2−i2−i22−20-220−2i2ii2−i22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500−22−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ412-22-2002i−2i2i−2i02-20−22−i2−i2i2i2−2202-202i−2i−i2i2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700−22−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ422-22-2002i−2i2i−2i02-20−22−i2−i2i2i2−2202-202i−2i−i2i2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700−22−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ432-22-2002i−2i2i−2i02-20−22−i2−i2i2i2−220-220−2i2i−i2i2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7002−2i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ442-22-2002i−2i2i−2i02-20−22−i2−i2i2i2−220-220−2i2i−i2i2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7002−2i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ452-22-200−2i2i−2i2i02-202−2−i2−i2i2i22−202-20−2i2i−i2i22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5002−2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ462-22-200−2i2i−2i2i02-202−2−i2−i2i2i22−202-20−2i2i−i2i22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5002−2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ472-22-200−2i2i−2i2i02-202−2−i2−i2i2i22−20-2202i−2i−i2i22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500−22i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ482-22-200−2i2i−2i2i02-202−2−i2−i2i2i22−20-2202i−2i−i2i22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500−22i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ492-22-200−2i2i−2i2i02-20−22i2i2−i2−i2−2202-20−2i2ii2−i2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700−22i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ502-22-200−2i2i−2i2i02-20−22i2i2−i2−i2−2202-20−2i2ii2−i2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700−22i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ512-22-200−2i2i−2i2i02-20−22i2i2−i2−i2−220-2202i−2ii2−i2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7002−2−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ522-22-200−2i2i−2i2i02-20−22i2i2−i2−i2−220-2202i−2ii2−i2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7002−2−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ53444444-4-444-4-4-4-400000000-4004000000000000000000000000000000000000000000000000
χ544444-4-444-4-4-4-4-4-4000000004004000000000000000000000000000000000000000000000000
χ5544-4-4000000400-4440000-4-4000000000022−2222−2222−2222−220000000000000000000000000000000000
χ5644-4-4000000400-4440000-4-40000000000−2222−2222−2222−22220000000000000000000000000000000000
χ5744-4-4000000400-4-4-40000440000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000
χ5844-4-4000000400-4-4-4000044000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000
χ5944-4-4000000-4004004i−4i4i−4i0000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ6044-4-4000000-4004004i−4i4i−4i000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ6144-4-4000000-400400−4i4i−4i4i0000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ6244-4-4000000-400400−4i4i−4i4i000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ634-44-4004i−4i−4i4i0-44022−222i22i2−2i2−2i222−22000000−2i22i2−2222000000000000000000000000000000000000000000
χ644-44-4004i−4i−4i4i0-440−2222−2i2−2i22i22i2−22220000002i2−2i222−22000000000000000000000000000000000000000000
χ654-44-400−4i4i4i−4i0-44022−22−2i2−2i22i22i222−220000002i2−2i2−2222000000000000000000000000000000000000000000
χ664-44-400−4i4i4i−4i0-440−22222i22i2−2i2−2i2−2222000000−2i22i222−22000000000000000000000000000000000000000000
χ674-4-444-40000000022−2222−22−2222−22220000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ700000000000000000000000000
χ684-4-444-40000000022−2222−22−2222−22220000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ700000000000000000000000000
χ694-4-444-400000000−2222−222222−2222−220000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ700000000000000000000000000
χ704-4-444-400000000−2222−222222−2222−220000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ700000000000000000000000000
χ714-4-44-440000000022−22−222222−22−22220000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ700000000000000000000000000
χ724-4-44-440000000022−22−222222−22−22220000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ700000000000000000000000000
χ734-4-44-4400000000−222222−22−222222−220000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ700000000000000000000000000
χ744-4-44-4400000000−222222−22−222222−220000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ700000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.