Finite Group Databasebeta

← Group #11786253

Character table — Group #11786253

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444444444444444444444444444444444444444444444444444444999918181818181818181818181818187272727272727272
order12224444448888888833666666121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422224444448888888844444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ17222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-222-2-20000000000000000
χ18222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222-2-2220000000000000000
χ192222-2-222-2-20000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-2220000000000000000
χ202222-2-222-2-20000000022222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-20000000000000000
χ2122-2-2002i−2i00i2i2−i2−i222−2−22222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222222222−2−2−2−2−2−2−2−22-22-200002i−2ii2i2−i2−i222−2−200000000
χ2222-2-2002i−2i00i2i2−i2−i222−2−22222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222222222−2−2−2−2−2−2−2−2-22-220000−2i2i−i2−i2i2i2−2−22200000000
χ2322-2-2002i−2i00−i2−i2i2i2−2−2222222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−2−2−2−2−2−2−2−2222222222-22-200002i−2i−i2−i2i2i2−2−22200000000
χ2422-2-2002i−2i00−i2−i2i2i2−2−2222222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−2−2−2−2−2−2−2−222222222-22-220000−2i2ii2i2−i2−i222−2−200000000
χ2522-2-200−2i2i00i2i2−i2−i2−2−2222222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−2−2−2−2−2−2−2−2222222222-22-20000−2i2ii2i2−i2−i2−2−22200000000
χ2622-2-200−2i2i00i2i2−i2−i2−2−2222222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−2−2−2−2−2−2−2−222222222-22-2200002i−2i−i2−i2i2i222−2−200000000
χ2722-2-200−2i2i00−i2−i2i2i222−2−22222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222222222−2−2−2−2−2−2−2−22-22-20000−2i2i−i2−i2i2i222−2−200000000
χ2822-2-200−2i2i00−i2−i2i2i222−2−22222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222222222−2−2−2−2−2−2−2−2-22-2200002i−2ii2i2−i2−i2−2−22200000000
χ292-22-200002-200002-22-222-2-222-2-200000000000000002222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-222-2-22-2000000002-22-200000000
χ302-22-200002-200002-22-222-2-222-2-200000000000000002222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-2-2-222-2200000000-22-2200000000
χ312-22-200002-20000-22-2222-2-222-2-200000000000000002222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-2222222-2-22-200000000-22-2200000000
χ322-22-200002-20000-22-2222-2-222-2-200000000000000002222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-22222-2-222-22000000002-22-200000000
χ332-22-20000-222-22-2000022-2-222-2-20000000000000000-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000022-2-2-2200002-22-2000000000000
χ342-22-20000-222-22-2000022-2-222-2-20000000000000000-2-2-2-222222222-2-2-2-22222-2-2-2-20000000000000000-2-2222-20000-22-22000000000000
χ352-22-20000-22-22-22000022-2-222-2-20000000000000000-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000022-2-2-220000-22-22000000000000
χ362-22-20000-22-22-22000022-2-222-2-20000000000000000-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000-2-2222-200002-22-2000000000000
χ372-2-222i−2i0000i2−i2−i2i22−2−2222-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−2−2−2−2−222222-2-22002i−2i00i2−i2−i2i22−2−2200000000
χ382-2-222i−2i0000i2−i2−i2i22−2−2222-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22222−2−2−2−2−2−2−2−22222-222-200−2i2i00−i2i2i2−i2−222−200000000
χ392-2-222i−2i0000−i2i2i2−i2−222−222-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2−2−2−222222222−2−2−2−22-2-22002i−2i00−i2i2i2−i2−222−200000000
χ402-2-222i−2i0000−i2i2i2−i2−222−222-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−2−2−2−222222222−2−2−2−2-222-200−2i2i00i2−i2−i2i22−2−2200000000
χ412-2-22−2i2i0000i2−i2−i2i2−222−222-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2−2−2−222222222−2−2−2−22-2-2200−2i2i00i2−i2−i2i2−222−200000000
χ422-2-22−2i2i0000i2−i2−i2i2−222−222-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2−2−2−222222222−2−2−2−2-222-2002i−2i00−i2i2i2−i22−2−2200000000
χ432-2-22−2i2i0000−i2i2i2−i22−2−2222-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−2−2−2−2−222222-2-2200−2i2i00−i2i2i2−i22−2−2200000000
χ442-2-22−2i2i0000−i2i2i2−i22−2−2222-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22222−2−2−2−2−2−2−2−22222-222-2002i−2i00i2−i2−i2i2−222−200000000
χ454444444444444444441-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000000000
χ46444444444444444444-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000000000
χ474444444444-4-4-4-4-4-4-4-41-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-12200000000000000000000000000
χ484444444444-4-4-4-4-4-4-4-4-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-100000000000000000000000000
χ49444444-4-4-4-4000000001-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-1223i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000
χ50444444-4-4-4-4000000001-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
χ51444444-4-4-4-400000000-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i00000000000000000000000000
χ52444444-4-4-4-400000000-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-100−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000000000
χ534444-4-444-4-4000000001-21-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-1223i−3i003i−3i003i−3i003i−3i00−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
χ544444-4-444-4-4000000001-21-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000
χ554444-4-444-4-400000000-21-21-21-2122-1-122-1-1-2-211-2-21122-1-122-1-1003i−3i003i−3i003i−3i003i−3i00−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000000000
χ564444-4-444-4-400000000-21-21-21-2122-1-122-1-1-2-211-2-21122-1-122-1-100−3i3i00−3i3i00−3i3i00−3i3i003i−3i003i−3i003i−3i003i−3i00000000000000000000000000
χ574444-4-4-4-4444444-4-4-4-41-21-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-211-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000000000
χ584444-4-4-4-4444444-4-4-4-4-21-21-21-2122-1-122-1-122-1-122-1-1-2-211-2-211-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000000000
χ594444-4-4-4-444-4-4-4-444441-21-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-2-1-122-1-122-1-122-1-12211-2-211-2-211-2-211-2-200000000000000000000000000
χ604444-4-4-4-444-4-4-4-44444-21-21-21-2122-1-122-1-122-1-122-1-1-2-211-2-21122-1-122-1-122-1-122-1-1-2-211-2-211-2-211-2-21100000000000000000000000000
χ6144-4-4004i−4i002i22i2−2i2−2i22222−22−221-21-2-12-123-3003-300ii−2i−2i−i−i2i2i3i−3i003i−3i002ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ32200000000000000000000000000
χ6244-4-4004i−4i002i22i2−2i2−2i22222−22−221-21-2-12-12-3300-3300ii−2i−2i−i−i2i2i−3i3i00−3i3i00−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ32200000000000000000000000000
χ6344-4-4004i−4i002i22i2−2i2−2i22222−22−22-21-212-12-1003-3003-3−2i−2iii2i2i−i−i003i−3i003i−3i−i2−i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ6444-4-4004i−4i002i22i2−2i2−2i22222−22−22-21-212-12-100-3300-33−2i−2iii2i2i−i−i00−3i3i00−3i3i−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ6544-4-4004i−4i00−2i2−2i22i22i2−22−2222221-21-2-12-123-3003-300ii−2i−2i−i−i2i2i3i−3i003i−3i00−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−200000000000000000000000000
χ6644-4-4004i−4i00−2i2−2i22i22i2−22−2222221-21-2-12-12-3300-3300ii−2i−2i−i−i2i2i−3i3i00−3i3i00ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−200000000000000000000000000
χ6744-4-4004i−4i00−2i2−2i22i22i2−22−222222-21-212-12-1003-3003-3−2i−2iii2i2i−i−i003i−3i003i−3ii2i2−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ300000000000000000000000000
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χ6944-4-400−4i4i002i22i2−2i2−2i2−22−2222221-21-2-12-123-3003-300−i−i2i2iii−2i−2i−3i3i00−3i3i00−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−200000000000000000000000000
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χ7444-4-400−4i4i00−2i2−2i22i22i22222−22−221-21-2-12-12-3300-3300−i−i2i2iii−2i−2i3i−3i003i−3i00−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ32200000000000000000000000000
χ7544-4-400−4i4i00−2i2−2i22i22i22222−22−22-21-212-12-1003-3003-32i2i−i−i−2i−2iii00−3i3i00−3i3ii2i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ7644-4-400−4i4i00−2i2−2i22i22i22222−22−22-21-212-12-100-3300-332i2i−i−i−2i−2iii003i−3i003i−3ii2i2−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ774-44-400004-400004-44-41-2-121-2-123i−3i00−3i3i003i−3i003i−3i0011-2-2-1-1223i−3i00−3i3i003i−3i00−3i3i0011-2-2-1-12211-2-2-1-12200000000000000000000000000
χ784-44-400004-400004-44-41-2-121-2-12−3i3i003i−3i00−3i3i00−3i3i0011-2-2-1-122−3i3i003i−3i00−3i3i003i−3i0011-2-2-1-12211-2-2-1-12200000000000000000000000000
χ794-44-400004-400004-44-4-212-1-212-1003i−3i00−3i3i003i−3i003i−3i-2-21122-1-1003i−3i00−3i3i003i−3i00−3i3i-2-21122-1-1-2-21122-1-100000000000000000000000000
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χ884-44-40000-444-44-40000-212-1-212-100−3i3i003i−3i003i−3i003i−3i22-1-1-2-211-2-21122-1-1-2-21122-1-1003i−3i00−3i3i003i−3i00−3i3i00000000000000000000000000
χ894-44-40000-44-44-4400001-2-121-2-123i−3i00−3i3i00−3i3i00−3i3i00-1-12211-2-2-1-12211-2-2-1-12211-2-23i−3i00−3i3i003i−3i00−3i3i0000000000000000000000000000
χ904-44-40000-44-44-4400001-2-121-2-12−3i3i003i−3i003i−3i003i−3i00-1-12211-2-2-1-12211-2-2-1-12211-2-2−3i3i003i−3i00−3i3i003i−3i0000000000000000000000000000
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χ944-4-444i−4i00002i2−2i2−2i22i222−22−22221-2-12-121-2ii−2i−2i−i−i2i2i-33003-3003i−3i00−3i3i00−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−200000000000000000000000000
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χ974-4-444i−4i0000−2i22i22i2−2i2−222222−221-2-12-121-2ii−2i−2i−i−i2i2i3-300-3300−3i3i003i−3i00−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i2ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ32200000000000000000000000000
χ984-4-444i−4i0000−2i22i22i2−2i2−222222−221-2-12-121-2ii−2i−2i−i−i2i2i-33003-3003i−3i00−3i3i00ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ32200000000000000000000000000
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χ1004-4-444i−4i0000−2i22i22i2−2i2−222222−22-212-12-1-21−2i−2iii2i2i−i−i00-33003-3003i−3i00−3i3ii2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ300000000000000000000000000
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χ1034-4-44−4i4i00002i2−2i2−2i22i2−222222−22-212-12-1-212i2i−i−i−2i−2iii003-300-33003i−3i00−3i3i−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ1044-4-44−4i4i00002i2−2i2−2i22i2−222222−22-212-12-1-212i2i−i−i−2i−2iii00-33003-300−3i3i003i−3i−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1054-4-44−4i4i0000−2i22i22i2−2i222−22−22221-2-12-121-2−i−i2i2iii−2i−2i3-300-33003i−3i00−3i3i00ζ−2ζ3−2ζ+ζ3i2i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i22ζ+ζ3−ζ−2ζ3−2−2−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3222ζ+ζ3−ζ−2ζ3−2−200000000000000000000000000
χ1064-4-44−4i4i0000−2i22i22i2−2i222−22−22221-2-12-121-2−i−i2i2iii−2i−2i-33003-300−3i3i003i−3i00−2ζ+ζ3ζ−2ζ3i2i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i2−2ζ+ζ3ζ−2ζ3i2i2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ322−ζ−2ζ32ζ+ζ3−2−200000000000000000000000000
χ1074-4-44−4i4i0000−2i22i22i2−2i222−22−2222-212-12-1-212i2i−i−i−2i−2iii003-300-33003i−3i00−3i3ii2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−2−22ζ+ζ3−ζ−2ζ322−2ζ−ζ3ζ+2ζ322−2ζ−ζ3ζ+2ζ3−2−22ζ+ζ3−ζ−2ζ300000000000000000000000000
χ1084-4-44−4i4i0000−2i22i22i2−2i222−22−2222-212-12-1-212i2i−i−i−2i−2iii00-33003-300−3i3i003i−3ii2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−2−2−ζ−2ζ32ζ+ζ322ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ3−2−2−ζ−2ζ32ζ+ζ300000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.