Finite Group Databasebeta

← Group #72270221

Character table — Group #72270221

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222444444444444444444444444444444888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616242424242424242432323232323232323232323248484848969696969696969696969696
order12222222223666222222222222222266666666666666224444666666666666121212121212121222444444444444446666661212121212121212121212121212121212121212121212121212121222222222444412121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1
χ91-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1ii−i−i1-111-1-1ii−i−i1-111-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1ii−i−i1-111-1-1ii−i−i1-111-1-1iiii−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111ii−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1−i−iii1-111-1-1−i−iii1-111-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ121-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1−i−iii1-111-1-1−i−iii1-111-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−iii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ131-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-11ii−i−i-11-1-111ii−i−i1-1-1-111iiii−i−i−i−i-1-111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ141-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-11ii−i−i-11-1-111ii−i−i1-1-1-111iiii−i−i−i−i-1-111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−iii−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ151-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-11−i−iii-11-1-111−i−iii1-1-1-111−i−i−i−iiiii-1-111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ161-1-111-1-11-111-1-11111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-11−i−iii-11-1-111−i−iii1-1-1-111−i−i−i−iiiii-1-111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111ii−i−iiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ17222222222222222222-2-22222-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000-2-20000000000000000000000000000000022222222000000000000-2-2-2-2000000000000
χ18222222222222222222-2-22222-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000000000000000-2-200000000000000000000000000000000-2-2-2-2-2-2-2-20000000000002222000000000000
χ192222222222222222-2-22222-2-222-2-2-2-22222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200000000000000000000000000000000000000002-22-222-2-222-2-20000000000000000
χ202222222222222222-2-22222-2-222-2-2-2-22222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000220000000000000000000000000000000000000000-22-22-2-222-2-2220000000000000000
χ212222222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2222222220000000000000000-2-200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222-2-2222222-2-2-2-222-2-2-2-2222222220000000000000000-2-20000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ2322222222222222-2-22222-2-2-2-222-2-22222222222222222-2-22-22-2-2-222-2-2-2-222-2-222-2-222-2-2002222000000-2-2-2-2-2-2000022222222000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ2422222222222222-2-22222-2-2-2-222-2-22222222222222222-2-22-22-2-2-222-2-2-2-222-2-222-2-222-2-200-2-2-2-20000002222-2-20000-2-2-2-2-2-2-2-200000000000022222222000000000000000000000000000000000000
χ2522222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222-22-22-2-222-2-2-2-222-2-2-2-222-2-2220000000000000000220000000000000000000000000000000000000000000000000000000000002-22-20000
χ2622222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222-22-22-2-222-2-2-2-222-2-2-2-222-2-222000000000000000022000000000000000000000000000000000000000000000000000000000000-22-220000
χ2722222222222222-2-2-2-222-2-2222222-2-222222222222222-2-2-22-22-2-2-2-222-2-2-2-222-2-222-2-22222000022-2-2-2-20000-2-22222000000002222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ2822222222222222-2-2-2-222-2-2222222-2-222222222222222-2-2-22-22-2-2-2-222-2-2-2-222-2-222-2-222-2-20000-2-222220000-2-2-2-2-2-200000000-2-2-2-22222222200000000000000000000000000000000000000000000
χ2922222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-222222-22-2-2-2-2-222-2-2-2-22222-2-222-2-2000000000000000022000000000000000000000000000000000000000000000000000000002-22-200000000
χ3022222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-222222-22-2-2-2-2-222-2-2-2-22222-2-222-2-200000000000000002200000000000000000000000000000000000000000000000000000000-22-2200000000
χ312222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-10000000000000000
χ322222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000-2-2-2-2111111110000000000000000
χ332222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-22222-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000-2-2-2-2111111110000000000000000
χ342222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-111111111111111111111111111111111000000002222-1-1-1-1-1-1-1-10000000000000000
χ352222222222-1-1-1-122-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-11111111111110000000000000000-1-1−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000002-22-2-1-111-1-1110000000000000000
χ362222222222-1-1-1-122-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-11111111111110000000000000000-1-1−i3i3−i3i3i3i3−i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000-22-2211-1-111-1-10000000000000000
χ372222222222-1-1-1-122-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-11111111111110000000000000000-1-1i3−i3i3−i3−i3−i3i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000-22-2211-1-111-1-10000000000000000
χ382222222222-1-1-1-122-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-11111-1-11111111111110000000000000000-1-1i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000002-22-2-1-111-1-1110000000000000000
χ392222222222-1-1-1-1-2-22222-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-22-211-1-11111-1-111-1-111-1-111002222000000-2-2-2-211−i3i3−i3i3-1-1-1-1-1-1-1-1−i3i3−i3i3i3i3−i3−i3i3i3−i3−i311111111000000000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ402222222222-1-1-1-1-2-22222-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-22-211-1-11111-1-111-1-111-1-111002222000000-2-2-2-211i3−i3i3−i3-1-1-1-1-1-1-1-1i3−i3i3−i3−i3−i3i3i3−i3−i3i3i311111111000000000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ412222222222-1-1-1-1-2-22222-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-22-211-1-11111-1-111-1-111-1-11100-2-2-2-2000000222211−i3i3−i3i311111111−i3i3−i3i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1000000000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ422222222222-1-1-1-1-2-22222-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-22-211-1-11111-1-111-1-111-1-11100-2-2-2-2000000222211i3−i3i3−i311111111i3−i3i3−i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1000000000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ432222222222-1-1-1-1-2-2-2-222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-22-221111-1-11111-1-111-1-111-1-122000022-2-2-2-2000011-1-1-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111i3i3−i3−i3i3i3−i3−i3000000000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ442222222222-1-1-1-1-2-2-2-222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-22-221111-1-11111-1-111-1-111-1-122000022-2-2-2-2000011-1-1-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111−i3−i3i3i3−i3−i3i3i3000000000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ452222222222-1-1-1-1-2-2-2-222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-22-221111-1-11111-1-111-1-111-1-1-2-20000-2-222220000111111−i3−i3i3i3−i3−i3i3i31111-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ462222222222-1-1-1-1-2-2-2-222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-22-221111-1-11111-1-111-1-111-1-1-2-20000-2-222220000111111i3i3−i3−i3i3i3−i3−i31111-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ472-2-222-2-22-222-2-222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-222222-2-22-2-222222222-2-2-2-2-2-2-2-2-2-222220000000000000000-22000000000000000000000000000000002222-2-2-2-2000000000000-2-222000000000000
χ482-2-222-2-22-222-2-222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-222222-2-22-2-222222222-2-2-2-2-2-2-2-2-2-222220000000000000000-2200000000000000000000000000000000-2-2-2-2222200000000000022-2-2000000000000
χ492-2-222-2-22-222-2-2222-2-222-2-222-2-2-2-222222222-2-2-2-2-2-22-22-2-2-22222-2-2-2-2-2-22222-2-2-2-2222200000000000000002-200000000000000000000000000000000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ502-2-222-2-22-222-2-2222-2-222-2-222-2-2-2-222222222-2-2-2-2-2-22-22-2-2-22222-2-2-2-2-2-22222-2-2-2-2222200000000000000002-20000000000000000000000000000000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ512-2-222-2-22-222-2-2222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222222-2-2222-2-222-2-2-2-2-2-222222222-2-2-2-20000000000000000-2200000000000000000000000000000000000000000000000000000000000000002-2-22
χ522-2-222-2-22-222-2-2222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-222222-2-2222-2-222-2-2-2-2-2-222222222-2-2-2-20000000000000000-220000000000000000000000000000000000000000000000000000000000000000-222-2
χ532-2-222-2-22-222-2-22-2-222222222-2-2-2-2-2-2222222-2-2-2-2-2-22-2-222-2-22-2-222-2-222-2-22222-2-2-2-222002i2i−2i−2i000000−2i−2i2i2i-2200002i2i2i2i−2i−2i−2i−2i000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ542-2-222-2-22-222-2-22-2-222222222-2-2-2-2-2-2222222-2-2-2-2-2-22-2-222-2-22-2-222-2-222-2-22222-2-2-2-22200−2i−2i2i2i0000002i2i−2i−2i-220000−2i−2i−2i−2i2i2i2i2i0000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ552-2-222-2-22-222-2-22-2-222-2-2222222-2-2-2-222-2-2-2-2-2-222222-22-2-222-2-2-222-2-222-2-222-2-22222-2-200000000000000002-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ562-2-222-2-22-222-2-22-2-222-2-2222222-2-2-2-222-2-2-2-2-2-222222-22-2-222-2-2-222-2-222-2-222-2-22222-2-200000000000000002-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
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χ1244-4-444-4-44-44-222-2-4-4-4-4-4-444-4-4444444-2-2222222-2-2-2-2-224-44-4-442222-2-2-2-2-2-222-2-22222-2-20000000000000000-2200000000000000000000000000000000000000000000000000000000000000000000
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χ1294-4-44-4-4444-44-4-44004-40000000000-44-4-40000-44000044000000004-40000-4400000000002-20000-222-2-2200000022-2-200000000-2-2222-22-2-22-2200000000000000000000000000000000000000000000
χ1304-4-44-4-4444-44-4-44004-40000000000-44-4-40000-44000044000000004-40000-440000000000-2200002-2-222-2000000-2-2220000000022-2-2-22-222-22-200000000000000000000000000000000000000000000
χ1314-4-44-4-4444-44-4-4400-4400000000004-4-4-40000-4400004400000000-4400004-400000000002-20000-22-222-200000022-2-200000000-2-222-22-222-22-200000000000000000000000000000000000000000000
χ1324-4-44-4-4444-44-4-4400-4400000000004-4-4-40000-4400004400000000-4400004-40000000000-2200002-22-2-22000000-2-2220000000022-2-22-22-2-22-2200000000000000000000000000000000000000000000
χ1334-4-44-4-4444-4-222-2004-40000000000-4422−2i32i3−2i32i32-22i3−2i32i3−2i3-2-200000000-2200002-200−2i32i3002i3−2i3002-20000-222-2-22000000−1−i3−1+i31+i31−i3000000001+i31−i3−1−i3−1+i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000000000000000000000
χ1344-4-44-4-4444-4-222-2004-40000000000-4422−2i32i3−2i32i32-22i3−2i32i3−2i3-2-200000000-2200002-200−2i32i3002i3−2i300-2200002-2-222-20000001+i31−i3−1−i3−1+i300000000−1−i3−1+i31+i31−i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000000000000000000000
χ1354-4-44-4-4444-4-222-2004-40000000000-44222i3−2i32i3−2i32-2−2i32i3−2i32i3-2-200000000-2200002-2002i3−2i300−2i32i3002-20000-222-2-22000000−1+i3−1−i31−i31+i3000000001−i31+i3−1+i3−1−i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000000000000000000000
χ1364-4-44-4-4444-4-222-2004-40000000000-44222i3−2i32i3−2i32-2−2i32i3−2i32i3-2-200000000-2200002-2002i3−2i300−2i32i300-2200002-2-222-20000001−i31+i3−1+i3−1−i300000000−1+i3−1−i31−i31+i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000000000000000000000
χ1374-4-44-4-4444-4-222-200-4400000000004-422−2i32i3−2i32i32-22i3−2i32i3−2i3-2-2000000002-20000-22002i3−2i300−2i32i3002-20000-22-222-2000000−1−i3−1+i31+i31−i3000000001+i31−i3−1−i3−1+i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000000000000000000000
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χ1394-4-44-4-4444-4-222-200-4400000000004-4222i3−2i32i3−2i32-2−2i32i3−2i32i3-2-2000000002-20000-2200−2i32i3002i3−2i3002-20000-22-222-2000000−1+i3−1−i31−i31+i3000000001−i31+i3−1+i3−1−i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000000000000000000000
χ1404-4-44-4-4444-4-222-200-4400000000004-4222i3−2i32i3−2i32-2−2i32i3−2i32i3-2-2000000002-20000-2200−2i32i3002i3−2i300-2200002-22-2-220000001−i31+i3−1+i3−1−i300000000−1+i3−1−i31−i31+i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000000000000000000000
χ1418888-8-88-8-88-4-4-4-400008-800008-800004-4-444-44-4-444-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428888-8-88-8-88-4-4-4-40000-880000-8800004-44-4-444-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14388-8-800000088-8-84-400004-400000000000000000000000000004-400004-400000000000000000000000000000000000000000000000000000000000000004-4004-40000000000000000000000000000
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χ1478-88-80000008-88-84-40000-4400000000000000000000000000004-40000-4400000000000000000000000000000000000000000000000000000000000000004-400-440000000000000000000000000000
χ1488-88-80000008-88-84-40000-4400000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000000000000000-44004-40000000000000000000000000000
χ1498-88-80000008-88-8-4400004-40000000000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000000000004-400-44000000000000000000000000000000
χ1508-88-80000008-88-8-4400004-40000000000000000000000000000-4400004-400000000000000000000000000000000000000000000000000000000000000-44004-4000000000000000000000000000000
χ1518-8-88-88-8-888-444-400008-80000-8800004-4-444-4-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-88-88-8-888-444-40000-8800008-800004-44-4-44-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1531616-16-16000000-8-8888-800008-80000000000000000000000000000-440000-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1541616-16-16000000-8-888-880000-8800000000000000000000000000004-400004-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15516-1616-16000000-88-888-80000-880000000000000000000000000000-4400004-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15616-1616-16000000-88-88-8800008-800000000000000000000000000004-40000-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.