Finite Group Databasebeta

← Group #511962

Character table — Group #511962

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444443232323232323232
order122222224444448888888816161616161616161616161616161616222224444488888888888816161616161616161616161616161616161616161616161624448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ9111111-1-11-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ10111111-1-11-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ11111111-1-11-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ12111111-1-11-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1
χ13111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ14111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ15111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ16111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-200000000000000002-2-2-2-22-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ1922222222-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−220000-2000000002i2i−2i−2i2i2i−2i−2i22−2−222−2−2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000
χ2022222222-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−220000-200000000−2i−2i2i2i−2i−2i2i2i22−2−222−2−2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000
χ2122222222-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−2222220000-2000000002i2i−2i−2i2i2i−2i−2i−2−222−2−222−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000
χ2222222222-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−2222220000-200000000−2i−2i2i2i−2i−2i2i2i−2−222−2−222i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000
χ23222222-2-22-2-2222-2-22222-2-20000000000000000-222-2-2-222-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ24222222-2-22-2-2222-2-22222-2-20000000000000000-2-2-222-2-2-222-2-2222222-2-2-2-200000000000000000000000000000000
χ25222222-2-2-222-2-2-2000000002222−2−2−2−2−2−2−2−22222-200002000000002i2i−2i−2i−2i−2i2i2i22−2−2−2−222i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000
χ26222222-2-2-222-2-2-2000000002222−2−2−2−2−2−2−2−22222-20000200000000−2i−2i2i2i2i2i−2i−2i22−2−2−2−222−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000
χ27222222-2-2-222-2-2-200000000−2−2−2−222222222−2−2−2−2-200002000000002i2i−2i−2i−2i−2i2i2i−2−22222−2−2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000
χ28222222-2-2-222-2-2-200000000−2−2−2−222222222−2−2−2−2-20000200000000−2i−2i2i2i2i2i−2i−2i−2−22222−2−2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000
χ292222-2-2222222-2-2222222222222222222222222-20000-20000-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000
χ302222-2-2222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-20000-2-2-2-20000000022222222000000000000000000000000
χ312222-2-2222222-2-2-2-2-2-2-2-2-2-20000000000000000-20000-20000222200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000
χ322222-2-2222222-2-2-2-2-2-2-2-2-2-20000000000000000-20000-2000022220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000
χ332222-2-222-2-2-2-222000000002222−2−2−2−22222−2−2−2−2-222222-2-2-2-2000000000000−2−222−2−22222−2−2−2−22222−2−2−2−22200000000
χ342222-2-222-2-2-2-222000000002222−2−2−2−22222−2−2−2−2-2-2-2-2-222222000000000000−2−222−2−222−2−22222−2−2−2−22222−2−200000000
χ352222-2-222-2-2-2-22200000000−2−2−2−22222−2−2−2−22222-222222-2-2-2-200000000000022−2−222−2−2−2−22222−2−2−2−22222−2−200000000
χ362222-2-222-2-2-2-22200000000−2−2−2−22222−2−2−2−22222-2-2-2-2-22222200000000000022−2−222−2−222−2−2−2−22222−2−2−2−22200000000
χ372222-2-2-2-22-2-22-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-22000020000-2-22200000000-2-2-2-22222000000000000000000000000
χ382222-2-2-2-22-2-22-2-222-2-2-2-222-2-2-2-2-2-2-2-2222222222000020000-2-222000000002222-2-2-2-2000000000000000000000000
χ392222-2-2-2-22-2-22-2-2-2-22222-2-20000000000000000200002000022-2-200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000
χ402222-2-2-2-22-2-22-2-2-2-22222-2-20000000000000000200002000022-2-20000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000
χ412222-2-2-2-2-222-222000000002222−2−2−2−2−2−2−2−22222222-2-2-2-2-222000000000000−2−22222−2−222−2−2−2−222−2−22222−2−200000000
χ422222-2-2-2-2-222-222000000002222−2−2−2−2−2−2−2−222222-2-222-222-2-2000000000000−2−22222−2−2−2−22222−2−222−2−2−2−22200000000
χ432222-2-2-2-2-222-22200000000−2−2−2−222222222−2−2−2−2222-2-2-2-2-22200000000000022−2−2−2−222−2−22222−2−222−2−2−2−22200000000
χ442222-2-2-2-2-222-22200000000−2−2−2−222222222−2−2−2−22-2-222-222-2-200000000000022−2−2−2−22222−2−2−2−222−2−22222−2−200000000
χ452-2-222-200200-22-2002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−20002-20002-2002i−2i2i−2i2i−2i0000i2−i2i2−i22−22−22−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ462-2-222-200200-22-2002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−2000-22000-22002i−2i−2i2i−2i2i0000i2−i2i2−i22−22−2−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ472-2-222-200200-22-2002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−2220002-20002-2002i−2i2i−2i2i−2i0000−i2i2−i2i2−22−22−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ482-2-222-200200-22-2002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−222000-22000-22002i−2i−2i2i−2i2i0000−i2i2−i2i2−22−222−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ492-2-222-200200-22-200−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−2220002-20002-200−2i2i−2i2i−2i2i0000i2−i2i2−i2−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ502-2-222-200200-22-200−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−222000-22000-2200−2i2i2i−2i2i−2i0000i2−i2i2−i2−22−222−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ512-2-222-200200-22-200−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−20002-20002-200−2i2i−2i2i−2i2i0000−i2i2−i2i22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ522-2-222-200200-22-200−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−2000-22000-2200−2i2i2i−2i2i−2i0000−i2i2−i2i22−22−2−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ532-2-222-200-2002-22220000-2-22i2i−2i−2i−2i−2i2i2i0000000002-20002-2002-2002-2-2200002i−2i−2i2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ542-2-222-200-2002-22220000-2-22i2i−2i−2i−2i−2i2i2i000000000-22000-22002-200-222-200002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i0000000000000000
χ552-2-222-200-2002-22220000-2-2−2i−2i2i2i2i2i−2i−2i0000000002-20002-2002-2002-2-220000−2i2i2i−2i00002i−2i2i−2i−2i2i−2i2i0000000000000000
χ562-2-222-200-2002-22220000-2-2−2i−2i2i2i2i2i−2i−2i000000000-22000-22002-200-222-20000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ572-2-222-200-2002-22-2-20000220000000022-2-2-2-22202-20002-200-2200-222-2000000002-2-2200000000-22-222-22-200000000
χ582-2-222-200-2002-22-2-20000220000000022-2-2-2-2220-22000-2200-22002-2-22000000002-2-22000000002-22-2-22-2200000000
χ592-2-222-200-2002-22-2-200002200000000-2-22222-2-202-20002-200-2200-222-200000000-222-2000000002-22-2-22-2200000000
χ602-2-222-200-2002-22-2-200002200000000-2-22222-2-20-22000-2200-22002-2-2200000000-222-200000000-22-222-22-200000000
χ612-2-22-2200200-2-22002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−202-2000-220000−2i2i00002i−2i2i−2i−i2i2−i2i2−22−22−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ622-2-22-2200200-2-22002i2i−2i−2i00i2i2−i2−i2i2i2−i2−i222−2−222−2−20-220002-20000−2i2i0000−2i2i−2i2i−i2i2−i2i2−22−22i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ632-2-22-2200200-2-22002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−22202-2000-220000−2i2i00002i−2i2i−2ii2−i2i2−i22−22−2i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ642-2-22-2200200-2-22002i2i−2i−2i00−i2−i2i2i2−i2−i2i2i2−2−222−2−2220-220002-20000−2i2i0000−2i2i−2i2ii2−i2i2−i22−22−2−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ652-2-22-2200200-2-2200−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−22202-2000-2200002i−2i0000−2i2i−2i2i−i2i2−i2i22−22−2−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ662-2-22-2200200-2-2200−2i−2i2i2i00i2i2−i2−i2i2i2−i2−i2−2−222−2−2220-220002-200002i−2i00002i−2i2i−2i−i2i2−i2i22−22−2i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ672-2-22-2200200-2-2200−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−202-2000-2200002i−2i0000−2i2i−2i2ii2−i2i2−i2−22−22i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ682-2-22-2200200-2-2200−2i−2i2i2i00−i2−i2i2i2−i2−i2i2i222−2−222−2−20-220002-200002i−2i00002i−2i2i−2ii2−i2i2−i2−22−22−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ692-2-22-2200-20022-2220000-2-22i2i−2i−2i−2i−2i2i2i000000000002-2000-22-220000002-2-22−2i2i2i−2i0000000000002i−2i−2i2i−2i2i2i−2i00000000
χ702-2-22-2200-20022-2220000-2-22i2i−2i−2i−2i−2i2i2i00000000000-220002-2-22000000-222-2−2i2i2i−2i000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ712-2-22-2200-20022-2220000-2-2−2i−2i2i2i2i2i−2i−2i000000000002-2000-22-220000002-2-222i−2i−2i2i000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ722-2-22-2200-20022-2220000-2-2−2i−2i2i2i2i2i−2i−2i00000000000-220002-2-22000000-222-22i−2i−2i2i0000000000002i−2i−2i2i−2i2i2i−2i00000000
χ732-2-22-2200-20022-2-2-20000220000000022-2-2-2-2220002-2000-222-2000000-222-20000-222-22-2-22-222-20000000000000000
χ742-2-22-2200-20022-2-2-20000220000000022-2-2-2-222000-220002-22-20000002-2-220000-222-2-222-22-2-220000000000000000
χ752-2-22-2200-20022-2-2-200002200000000-2-22222-2-20002-2000-222-2000000-222-200002-2-22-222-22-2-220000000000000000
χ762-2-22-2200-20022-2-2-200002200000000-2-22222-2-2000-220002-22-20000002-2-2200002-2-222-2-22-222-20000000000000000
χ7744-4-4000004i−4i00022−222i2−2i22i2−2i222−222ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ+2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ5000000000000000000000000000000000000000000000000000000
χ7844-4-4000004i−4i00022−222i2−2i22i2−2i222−22−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5000000000000000000000000000000000000000000000000000000
χ7944-4-4000004i−4i000−2222−2i22i2−2i22i2−22222ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ7000000000000000000000000000000000000000000000000000000
χ8044-4-4000004i−4i000−2222−2i22i2−2i22i2−2222−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ72ζ+2ζ7000000000000000000000000000000000000000000000000000000
χ8144-4-400000−4i4i00022−22−2i22i2−2i22i222−222ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5000000000000000000000000000000000000000000000000000000
χ8244-4-400000−4i4i00022−22−2i22i2−2i22i222−22−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ+2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ5000000000000000000000000000000000000000000000000000000
χ8344-4-400000−4i4i000−22222i2−2i22i2−2i2−22222ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ72ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ72ζ+2ζ7000000000000000000000000000000000000000000000000000000
χ8444-4-400000−4i4i000−22222i2−2i22i2−2i2−2222−2ζ3+2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ−2ζ7000000000000000000000000000000000000000000000000000000
χ854-44-4004-400000022−2222−22−2222−22222ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ7000000000000000000000000000000000000000000000000000000
χ864-44-4004-400000022−2222−22−2222−2222−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7000000000000000000000000000000000000000000000000000000
χ874-44-4004-4000000−2222−222222−2222−222ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5000000000000000000000000000000000000000000000000000000
χ884-44-4004-4000000−2222−222222−2222−22−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5000000000000000000000000000000000000000000000000000000
χ894-44-400-4400000022−22−222222−22−22222ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7000000000000000000000000000000000000000000000000000000
χ904-44-400-4400000022−22−222222−22−2222−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ7000000000000000000000000000000000000000000000000000000
χ914-44-400-44000000−222222−22−222222−222ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5000000000000000000000000000000000000000000000000000000
χ924-44-400-44000000−222222−22−222222−22−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5000000000000000000000000000000000000000000000000000000

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