Finite Group Databasebeta

← Group #10690865

Character table — Group #10690865

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222344444444666666612121212121212122244444444666612121212121212121212121212121212121212128888888824242424242424242424242424242424888888884444
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
χ511111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ10111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ12111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ13111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ14111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ15111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ16111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222-2-222-2-22222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
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
χ19222222222-2-222-2-2222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-222-2-2222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2522222222-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2622222222-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-1111100000000i3i3−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
χ2922222222-1-2-222-2-222-1-1-1-1-1-1-11111111122-2-222-2-2-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−333000000000000
χ3022222222-1-2-222-2-222-1-1-1-1-1-1-11111111122-2-222-2-2-2-2-1-1-1-11111-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−3000000000000
χ3122222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-222-2-2-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−3000000000000
χ3222222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-222-2-2-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−333000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-22222-1-1-1-1-1-1-1-11111-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-22222-1-1-1-1-1-1-1-11111-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-2222222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-2222222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ3722-2-22-22-22002-2002-222-2-22-2-200000000002i−2i00002i−2i0000000022-2-22i2i−2i−2i2i2i−2i−2i00002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ3822-2-22-22-22002-2002-222-2-22-2-200000000002i−2i00002i−2i0000000022-2-22i2i−2i−2i2i2i−2i−2i0000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ3922-2-22-22-22002-2002-222-2-22-2-20000000000−2i2i0000−2i2i0000000022-2-2−2i−2i2i2i−2i−2i2i2i00002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ4022-2-22-22-22002-2002-222-2-22-2-20000000000−2i2i0000−2i2i0000000022-2-2−2i−2i2i2i−2i−2i2i2i0000−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ4122-2-22-22-2200-2200-2222-2-22-2-200000000002i−2i0000−2i2i00000000-2-222−2i−2i2i2i2i2i−2i−2i0000−i2i2i2−i22−2−22−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ4222-2-22-22-2200-2200-2222-2-22-2-200000000002i−2i0000−2i2i00000000-2-222−2i−2i2i2i2i2i−2i−2i0000i2−i2−i2i2−222−2i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ4322-2-22-22-2200-2200-2222-2-22-2-20000000000−2i2i00002i−2i00000000-2-2222i2i−2i−2i−2i−2i2i2i0000−i2i2i2−i2−222−2−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ4422-2-22-22-2200-2200-2222-2-22-2-20000000000−2i2i00002i−2i00000000-2-2222i2i−2i−2i−2i−2i2i2i0000i2−i2−i2i22−2−22i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ4522-2-22-22-2-1002-2002-2-1-111-11133−3−333−3−3002i−2i00002i−2i−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
χ4622-2-22-22-2-1002-2002-2-1-111-11133−3−333−3−3002i−2i00002i−2i−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
χ4722-2-22-22-2-1002-2002-2-1-111-11133−3−333−3−300−2i2i0000−2i2ii3i3−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
χ4822-2-22-22-2-1002-2002-2-1-111-11133−3−333−3−300−2i2i0000−2i2ii3i3−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
χ4922-2-22-22-2-1002-2002-2-1-111-111−3−333−3−333002i−2i00002i−2ii3i3−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
χ5022-2-22-22-2-1002-2002-2-1-111-111−3−333−3−333002i−2i00002i−2ii3i3−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
χ5122-2-22-22-2-1002-2002-2-1-111-111−3−333−3−33300−2i2i0000−2i2i−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
χ5222-2-22-22-2-1002-2002-2-1-111-111−3−333−3−33300−2i2i0000−2i2i−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
χ5322-2-22-22-2-100-2200-22-1-111-11133−3−333−3−3002i−2i0000−2i2i−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
χ5422-2-22-22-2-100-2200-22-1-111-11133−3−333−3−3002i−2i0000−2i2i−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
χ5522-2-22-22-2-100-2200-22-1-111-11133−3−333−3−300−2i2i00002i−2ii3i3−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
χ5622-2-22-22-2-100-2200-22-1-111-11133−3−333−3−300−2i2i00002i−2ii3i3−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
χ5722-2-22-22-2-100-2200-22-1-111-111−3−333−3−333002i−2i0000−2i2ii3i3−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
χ5822-2-22-22-2-100-2200-22-1-111-111−3−333−3−333002i−2i0000−2i2ii3i3−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
χ5922-2-22-22-2-100-2200-22-1-111-111−3−333−3−33300−2i2i00002i−2i−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
χ6022-2-22-22-2-100-2200-22-1-111-111−3−333−3−33300−2i2i00002i−2i−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
χ612-2-2-222-2222-2222-2-2-2-2-2-2-22222-22-22-22-20000002-20000002-22-22-22-20000000000000000000000000000000000002i−2i2i−2i00000000
χ622-2-2-222-2222-2222-2-2-2-2-2-2-22222-22-22-22-20000002-20000002-22-22-22-2000000000000000000000000000000000000−2i2i−2i2i00000000
χ632-2-2-222-2222-2-2-22-222-2-2-2-22222-22-22-22-2000000-22000000-22-22-22-2200000000000000000000000000000000000000002-22-20000
χ642-2-2-222-2222-2-2-22-222-2-2-2-22222-22-22-22-2000000-22000000-22-22-22-220000000000000000000000000000000000000000-22-220000
χ652-2-2-222-222-2222-22-2-2-2-2-2-2222-22-22-22-22000000-22000000-22-222-22-200000000000000000000000000000000000000002i−2i−2i2i0000
χ662-2-2-222-222-2222-22-2-2-2-2-2-2222-22-22-22-22000000-22000000-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ672-2-2-222-222-22-2-2-2222-2-2-2-2222-22-22-22-220000002-20000002-22-2-22-220000000000000000000000000000000000002-2-2200000000
χ682-2-2-222-222-22-2-2-2222-2-2-2-2222-22-22-22-220000002-20000002-22-2-22-22000000000000000000000000000000000000-222-200000000
χ69444-4-44-4-444-400-44004-44-4-44-44-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ70444-4-44-4-44-44004-4004-44-4-44-4-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ71444-4-44-4-4-24-400-4400-22-222-22-22-222-22-2000000000000000000000023−2323−23000023−2323−23000000000000000000000000000000000000
χ72444-4-44-4-4-24-400-4400-22-222-22-22-222-22-20000000000000000000000−2323−23230000−2323−2323000000000000000000000000000000000000
χ73444-4-44-4-4-2-44004-400-22-222-222-22-2-22-22000000000000000000000023−2323−230000−2323−2323000000000000000000000000000000000000
χ74444-4-44-4-4-2-44004-400-22-222-222-22-2-22-220000000000000000000000−2323−2323000023−2323−23000000000000000000000000000000000000
χ7544-44-4-4-444000000004-4-44-4-440000000000004i−4i0000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
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χ7844-44-4-4-44-200000000-222-222-223−23−2323−232323−230000−4i4i0000000000000000−2i32i32i3−2i300002i−2i−2i2i000000000000000000000000000000000000
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χ814-4444-4-4-44004-400-44-4-4444-4-4000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
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χ854-4444-4-4-4-200-44004-422-2-2-22223−23−232323−23−232300000000000000−232323−232-2-22000000000000000000000000000000000000000000000000
χ864-4444-4-4-4-200-44004-422-2-2-222−232323−23−232323−230000000000000023−23−23232-2-22000000000000000000000000000000000000000000000000
χ874-44-4-4-444400000000-444-4-4-44000000004-4000000004-44-400000000000000000000000000000000000000000000000000000000
χ884-44-4-4-444400000000-444-4-4-4400000000-4400000000-44-4400000000000000000000000000000000000000000000000000000000
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χ904-44-4-4-444-2000000002-2-2222-22323−23−23−23−232323-44000000002-22-2000000000000−2323−23230000000000000000000000000000000000000000
χ914-44-4-4-444-2000000002-2-2222-2−23−2323232323−23−234-400000000-22-22000000000000−2323−23230000000000000000000000000000000000000000
χ924-44-4-4-444-2000000002-2-2222-2−23−2323232323−23−23-44000000002-22-200000000000023−2323−230000000000000000000000000000000000000000
χ934-4-44-444-444400-4-400-44-44-44-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-444-44-4-4004400-44-44-44-4-4-4-4-444440000000000000000000000000000000000000000000000000000000000000000000000
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χ964-4-44-444-4-24400-4-4002-22-22-22-2-2-2-2222200000000002i3−2i3−2i32i30000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ974-4-44-444-4-2-4-40044002-22-22-222222-2-2-2-20000000000−2i32i32i3−2i30000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
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χ994-4-4-444-44-24-4444-4-4-42222-2-2-2-22-22-22-220000004-4000000-22-22-22-22000000000000000000000000000000000000000000000000
χ1004-4-4-444-44-24-4-4-44-4442222-2-2-2-22-22-22-22000000-440000002-22-22-22-2000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-4444-44-4-42222-2-2-22-22-22-22-2000000-440000002-22-2-22-22000000000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-44-4-4-44442222-2-2-22-22-22-22-20000004-4000000-22-222-22-2000000000000000000000000000000000000000000000000

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