Finite Group Databasebeta

← Group #492226

Character table — Group #492226

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111122222222222222224444444444444444444444444448888888888888816161616323232323232
order122244448888161616161616161622444888888888816161616161616161616161624888816161616161616162244224488
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111111111-1-111-1-1
χ611111111111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ711111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ9111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11-11-11-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-11-11-11
χ11111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-1-1-111111-11-11-1-11-11
χ12111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-1-1-11111-11-11-111-11-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1111111-1-1-1-11-11-1-111-1-11
χ14111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1111111-1-1-1-1-11-111-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-11
χ1722222222-2-2-2-200000000222222222-2-2-2-2-2-200000000000022-2-2-2-2000000000000000000
χ1822222222-2-2-2-20000000022-2-22-2-2-2-22222-2-2000000000000-22-2-222000000000000000000
χ1922222222-2-2-2-200000000-2-2222-2-2-2-22222-2-20000000000002-222-2-2000000000000000000
χ2022222222-2-2-2-200000000-2-2-2-222222-2-2-2-2-2-2000000000000-2-22222000000000000000000
χ2122222-22-22222222222220000-200000000-2-2-2-2-2-2000000000000000000000022-2-2000000
χ2222222-22-22222222222220000-200000000-2-2-2-2-2-20000000000000000000000-2-222000000
χ2322222-22-22222-2-2-2-2-2-2-2-20000-200000000-2-2222200000000000000000000002-2-22000000
χ2422222-22-22222-2-2-2-2-2-2-2-20000-200000000-2-222220000000000000000000000-222-2000000
χ252222-22-2200002222−2−2−2−22222-2-2-22200000022−2−22222−2−2−2−2-2-2000022−2−222−2−20000000000
χ262222-22-2200002222−2−2−2−222-2-2-222-2-200000022−2−2−2−2−2−222222-2000022−2−2−2−2220000000000
χ272222-22-2200002222−2−2−2−2-2-222-222-2-200000022−2−2−2−2−2−22222-220000−2−22222−2−20000000000
χ282222-22-2200002222−2−2−2−2-2-2-2-2-2-2-22200000022−2−22222−2−2−2−2220000−2−222−2−2220000000000
χ292222-22-220000−2−2−2−222222222-2-2-222000000−2−222−2−2−2−22222-2-20000−2−222−2−2220000000000
χ302222-22-220000−2−2−2−2222222-2-2-222-2-2000000−2−2222222−2−2−2−22-20000−2−22222−2−20000000000
χ312222-22-220000−2−2−2−22222-2-222-222-2-2000000−2−2222222−2−2−2−2-22000022−2−2−2−2220000000000
χ322222-22-220000−2−2−2−22222-2-2-2-2-2-2-222000000−2−222−2−2−2−2222222000022−2−222−2−20000000000
χ332-22-2020-22−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ52-22i−2i0002i−2ii2i2−i2−i22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7002−2i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000000000
χ342-22-2020-22−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ52-2−2i2i000−2i2i−i2−i2i2i22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7002−2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000000000
χ352-22-2020-22−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5-222i−2i000−2i2i−i2−i2i2i22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700−22i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000000000
χ362-22-2020-22−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5-22−2i2i0002i−2ii2i2−i2−i22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700−22−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000000000
χ372-22-2020-22−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ52-22i−2i0002i−2ii2i2−i2−i22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7002−2i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000000000
χ382-22-2020-22−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ52-2−2i2i000−2i2i−i2−i2i2i22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7002−2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000000000
χ392-22-2020-22−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5-222i−2i000−2i2i−i2−i2i2i22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ700−22i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000000000
χ402-22-2020-22−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5-22−2i2i0002i−2ii2i2−i2−i22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ700−22−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000000000
χ412-22-2020-2−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ72-22i−2i0002i−2i−i2−i2i2i2−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500−22−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000000000
χ422-22-2020-2−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ72-2−2i2i000−2i2ii2i2−i2−i2−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500−22i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000000000
χ432-22-2020-2−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7-222i−2i000−2i2ii2i2−i2−i2−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5002−2−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000000000
χ442-22-2020-2−22−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7-22−2i2i0002i−2i−i2−i2i2i2−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5002−2i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000000000
χ452-22-2020-2−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ72-22i−2i0002i−2i−i2−i2i2i2−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ500−22−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000000000
χ462-22-2020-2−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ72-2−2i2i000−2i2ii2i2−i2−i2−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ500−22i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000000000
χ472-22-2020-2−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7-222i−2i000−2i2ii2i2−i2−i2−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5002−2−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000000000
χ482-22-2020-2−22−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7-22−2i2i0002i−2i−i2−i2i2i2−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5002−2i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000000000
χ4944444-44-4-4-4-4-4000000000000-40000000044000000000000000000000000000000000000
χ504444-4-4-4-4000022222222−22−22−22−22000040000000000−22−22222200000000000000000000000000000000
χ514444-4-4-4-40000−22−22−22−22222222220000400000000002222−22−2200000000000000000000000000000000
χ5244-4-440-40000022−2222−2222−2222−220000000002i2−2i22i2−2i20000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ5344-4-440-40000022−2222−2222−2222−22000000000−2i22i2−2i22i2000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5444-4-440-400000−2222−2222−2222−22220000000002i2−2i22i2−2i2000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5544-4-440-400000−2222−2222−2222−2222000000000−2i22i2−2i22i20000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ5644-4-4-404044-4-40000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000
χ5744-4-4-404044-4-4000000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000
χ5844-4-4-4040-4-4444-44-4-44-44000000000000000000000000000000000000000000000000000
χ5944-4-4-4040-4-444-44-444-44-4000000000000000000000000000000000000000000000000000
χ604-44-40-40422−2222−222ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ50000000000000−2222−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ500000000000000000000000000000000
χ614-44-40-40422−2222−22−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ50000000000000−22222ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ500000000000000000000000000000000
χ624-44-40-404−2222−22222ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ5−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ−2ζ7000000000000022−22−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ700000000000000000000000000000000
χ634-44-40-404−2222−2222−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ52ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ7000000000000022−222ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ700000000000000000000000000000000
χ644-4-44000022−22−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ70000022−22002-2-22000000ζ+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+ζ7000000000000000000000000
χ654-4-44000022−22−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ700000−222200-222-2000000−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−ζ7000000000000000000000000
χ664-4-44000022−22−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ70000022−22002-2-22000000−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−ζ7000000000000000000000000
χ674-4-44000022−22−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ700000−222200-222-2000000ζ+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+ζ7000000000000000000000000
χ684-4-440000−222222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ50000022−2200-222-2000000−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+ζ7000000000000000000000000
χ694-4-440000−222222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ500000−2222002-2-22000000ζ−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−ζ7000000000000000000000000
χ704-4-440000−222222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ50000022−2200-222-2000000ζ−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−ζ7000000000000000000000000
χ714-4-440000−222222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ500000−2222002-2-22000000−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+ζ7000000000000000000000000

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