Finite Group Databasebeta

← Group #10690895

Character table — Group #10690895

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222344444444666666612121212121212122244444444666612121212121212121212121212121212121212128888888824242424242424242424242424242424888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ10111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ12111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ13111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ14111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ15111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ16111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222-2-222-2-222222222222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ1822222222222-2-222-2-2222222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ19222222222-2-222-2-2222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2522222222-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2622222222-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2722222222-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2822222222-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2922222222-1-2-222-2-222-1-1-1-1-1-1-11111111122-2-2-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−333000000000000
χ3022222222-1-2-222-2-222-1-1-1-1-1-1-11111111122-2-2-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−3000000000000
χ3122222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−3000000000000
χ3222222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−333000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ37222-22-2-2-22002-2002-222-2-22-2-20000000000002i−2i2i−2i000000000022-2-22i2i−2i−2i2i2i−2i−2i00002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ38222-22-2-2-22002-2002-222-2-22-2-20000000000002i−2i2i−2i000000000022-2-22i2i−2i−2i2i2i−2i−2i0000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ39222-22-2-2-22002-2002-222-2-22-2-2000000000000−2i2i−2i2i000000000022-2-2−2i−2i2i2i−2i−2i2i2i00002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ40222-22-2-2-22002-2002-222-2-22-2-2000000000000−2i2i−2i2i000000000022-2-2−2i−2i2i2i−2i−2i2i2i0000−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ41222-22-2-2-2200-2200-2222-2-22-2-20000000000002i−2i−2i2i0000000000-2-2222i2i−2i−2i−2i−2i2i2i0000−i2i2i2−i2−222−2−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ42222-22-2-2-2200-2200-2222-2-22-2-20000000000002i−2i−2i2i0000000000-2-2222i2i−2i−2i−2i−2i2i2i0000i2−i2−i2i22−2−22i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ43222-22-2-2-2200-2200-2222-2-22-2-2000000000000−2i2i2i−2i0000000000-2-222−2i−2i2i2i2i2i−2i−2i0000−i2i2i2−i22−2−22−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ44222-22-2-2-2200-2200-2222-2-22-2-2000000000000−2i2i2i−2i0000000000-2-222−2i−2i2i2i2i2i−2i−2i0000i2−i2−i2i2−222−2i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ45222-22-2-2-2-1002-2002-2-1-111-11133−3−333−3−300002i−2i2i−2i00−i3−i3i3i333−3−3-1-111−i−iii−i−iii−i3−i3i3i32−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ46222-22-2-2-2-1002-2002-2-1-111-11133−3−333−3−300002i−2i2i−2i00−i3−i3i3i333−3−3-1-111−i−iii−i−iii−i3−i3i3i3−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ47222-22-2-2-2-1002-2002-2-1-111-11133−3−333−3−30000−2i2i−2i2i00i3i3−i3−i333−3−3-1-111ii−i−iii−i−ii3i3−i3−i32−22−2i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ48222-22-2-2-2-1002-2002-2-1-111-11133−3−333−3−30000−2i2i−2i2i00i3i3−i3−i333−3−3-1-111ii−i−iii−i−ii3i3−i3−i3−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ49222-22-2-2-2-1002-2002-2-1-111-111−3−333−3−33300002i−2i2i−2i00i3i3−i3−i3−3−333-1-111−i−iii−i−iiii3i3−i3−i32−22−2−i2i2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ50222-22-2-2-2-1002-2002-2-1-111-111−3−333−3−33300002i−2i2i−2i00i3i3−i3−i3−3−333-1-111−i−iii−i−iiii3i3−i3−i3−22−22i2−i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ51222-22-2-2-2-1002-2002-2-1-111-111−3−333−3−3330000−2i2i−2i2i00−i3−i3i3i3−3−333-1-111ii−i−iii−i−i−i3−i3i3i32−22−2i2−i2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ52222-22-2-2-2-1002-2002-2-1-111-111−3−333−3−3330000−2i2i−2i2i00−i3−i3i3i3−3−333-1-111ii−i−iii−i−i−i3−i3i3i3−22−22−i2i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ53222-22-2-2-2-100-2200-22-1-111-11133−3−333−3−300002i−2i−2i2i00i3i3−i3−i3−3−33311-1-1−i−iiiii−i−i−i3−i3i3i3−i2i2i2−i2−222−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ54222-22-2-2-2-100-2200-22-1-111-11133−3−333−3−300002i−2i−2i2i00i3i3−i3−i3−3−33311-1-1−i−iiiii−i−i−i3−i3i3i3i2−i2−i2i22−2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ55222-22-2-2-2-100-2200-22-1-111-11133−3−333−3−30000−2i2i2i−2i00−i3−i3i3i3−3−33311-1-1ii−i−i−i−iiii3i3−i3−i3−i2i2i2−i22−2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ56222-22-2-2-2-100-2200-22-1-111-11133−3−333−3−30000−2i2i2i−2i00−i3−i3i3i3−3−33311-1-1ii−i−i−i−iiii3i3−i3−i3i2−i2−i2i2−222−2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ57222-22-2-2-2-100-2200-22-1-111-111−3−333−3−33300002i−2i−2i2i00−i3−i3i3i333−3−311-1-1−i−iiiii−i−ii3i3−i3−i3−i2i2i2−i2−222−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ58222-22-2-2-2-100-2200-22-1-111-111−3−333−3−33300002i−2i−2i2i00−i3−i3i3i333−3−311-1-1−i−iiiii−i−ii3i3−i3−i3i2−i2−i2i22−2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ59222-22-2-2-2-100-2200-22-1-111-111−3−333−3−3330000−2i2i2i−2i00i3i3−i3−i333−3−311-1-1ii−i−i−i−iii−i3−i3i3i3−i2i2i2−i22−2−22ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ60222-22-2-2-2-100-2200-22-1-111-111−3−333−3−3330000−2i2i2i−2i00i3i3−i3−i333−3−311-1-1ii−i−i−i−iii−i3−i3i3i3i2−i2−i2i2−222−2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ612-2-2-2222-222-2222-2-2-2-2-2-2-22222-22-22-22-2002-200000000002-22-22-22-200000000000000000000000000000000000000002i−2i2i−2i0000
χ622-2-2-2222-222-2222-2-2-2-2-2-2-22222-22-22-22-2002-200000000002-22-22-22-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ632-2-2-2222-222-2-2-22-222-2-2-2-22222-22-22-22-200-220000000000-22-22-22-220000000000000000000000000000000000002-22-200000000
χ642-2-2-2222-222-2-2-22-222-2-2-2-22222-22-22-22-200-220000000000-22-22-22-22000000000000000000000000000000000000-22-2200000000
χ652-2-2-2222-22-2222-22-2-2-2-2-2-2222-22-22-22-2200-220000000000-22-222-22-20000000000000000000000000000000000002i−2i−2i2i00000000
χ662-2-2-2222-22-2222-22-2-2-2-2-2-2222-22-22-22-2200-220000000000-22-222-22-2000000000000000000000000000000000000−2i2i2i−2i00000000
χ672-2-2-2222-22-22-2-2-2222-2-2-2-2222-22-22-22-22002-200000000002-22-2-22-2200000000000000000000000000000000000000002-2-220000
χ682-2-2-2222-22-22-2-2-2222-2-2-2-2222-22-22-22-22002-200000000002-22-2-22-220000000000000000000000000000000000000000-222-20000
χ6944-44-44-4-44000000004-44-4-44-400000000000000004i−4i000000000000000000004i−4i4i−4i000000000000000000000000000000000000
χ7044-44-44-4-44000000004-44-4-44-40000000000000000−4i4i00000000000000000000−4i4i−4i4i000000000000000000000000000000000000
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χ7344-44-44-4-4-200000000-22-222-22−232323−2323−23−2323000000004i−4i0000000000002i3−2i32i3−2i30000−2i2i−2i2i000000000000000000000000000000000000
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χ7544-4-4-4-44444-400-44004-4-44-4-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ7644-4-4-4-4444-44004-4004-4-44-4-44-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000
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χ7844-4-4-4-444-24-400-4400-222-222-2-22-222-22-20000000000000000000000−232323−23000023−23−2323000000000000000000000000000000000000
χ7944-4-4-4-444-2-44004-400-222-222-22-22-2-22-22000000000000000000000023−23−2323000023−23−2323000000000000000000000000000000000000
χ8044-4-4-4-444-2-44004-400-222-222-22-22-2-22-220000000000000000000000−232323−230000−232323−23000000000000000000000000000000000000
χ814-444-4-44-444400-4-400-444-4-4-444444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ824-444-4-44-44-4-4004400-444-4-4-44-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
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χ844-444-4-44-4-24400-4-4002-2-2222-2-2-2-2-2222200000000002i3−2i32i3−2i30000000000002i3−2i32i3−2i30000000000000000000000000000000000000000
χ854-444-4-44-4-2-4-40044002-2-2222-22222-2-2-2-20000000000−2i32i3−2i32i30000000000002i3−2i32i3−2i30000000000000000000000000000000000000000
χ864-444-4-44-4-2-4-40044002-2-2222-22222-2-2-2-200000000002i3−2i32i3−2i3000000000000−2i32i3−2i32i30000000000000000000000000000000000000000
χ874-44-4-44-44400000000-44-44-44-4000000004-4000000004-4-4400000000000000000000000000000000000000000000000000000000
χ884-44-4-44-44400000000-44-44-44-400000000-4400000000-444-400000000000000000000000000000000000000000000000000000000
χ894-44-4-44-44-2000000002-22-22-222323−23−23−23−2323234-400000000-222-200000000000023−23−23230000000000000000000000000000000000000000
χ904-44-4-44-44-2000000002-22-22-222323−23−23−23−232323-44000000002-2-22000000000000−232323−230000000000000000000000000000000000000000
χ914-44-4-44-44-2000000002-22-22-22−23−2323232323−23−234-400000000-222-2000000000000−232323−230000000000000000000000000000000000000000
χ924-44-4-44-44-2000000002-22-22-22−23−2323232323−23−23-44000000002-2-2200000000000023−23−23230000000000000000000000000000000000000000
χ934-4-444-4-444004-400-44-4-4444-4-4000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ944-4-444-4-44400-44004-4-4-4444-4-400000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ954-4-444-4-44-2004-400-4422-2-2-22223−23−232323−23−23230000000000000023−23−2323-222-2000000000000000000000000000000000000000000000000
χ964-4-444-4-44-2004-400-4422-2-2-222−232323−23−232323−2300000000000000−232323−23-222-2000000000000000000000000000000000000000000000000
χ974-4-444-4-44-200-44004-422-2-2-22223−23−232323−23−232300000000000000−232323−232-2-22000000000000000000000000000000000000000000000000
χ984-4-444-4-44-200-44004-422-2-2-222−232323−23−232323−230000000000000023−23−23232-2-22000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-24-4444-4-4-42222-2-2-2-22-22-22-22004-40000000000-22-22-22-22000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-4-4-44-4442222-2-2-2-22-22-22-2200-4400000000002-22-22-22-2000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-4444-44-4-42222-2-2-22-22-22-22-200-4400000000002-22-2-22-22000000000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-44-4-4-44442222-2-2-22-22-22-22-2004-40000000000-22-222-22-2000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.