Finite Group Databasebeta

← Group #10826971

Character table — Group #10826971

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order122222223444444444444666666612121212121212122222224466666666666612121212121212121212121288888888242424242424242424242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1
χ81111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111
χ9111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111
χ12111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ13111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111
χ15111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1722222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-122222222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ2422222222-122222222-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ2522222222-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2622222222-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ2822222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ2922222222-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-111111111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-111111111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000033−3−3−3−33333−3−3−3−3330000000000000000
χ3222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−3−33333−3−3−3−33333−3−30000000000000000
χ3322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000033−3−3−3−333−3−33333−3−30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000−3−33333−3−333−3−3−3−3330000000000000000
χ3722-222-2-2-222i2i−2i−2i2i2i−2i−2i0000222-2-2-2-20000000000002-2000000000022-2-22i2i−2i−2i2i2i−2i−2i00002−2−i2i2−i2i22−22−22−2−i2i2−i2i2−i2i2−i2i22−22−20000000000000000
χ3822-222-2-2-222i2i−2i−2i2i2i−2i−2i0000222-2-2-2-20000000000002-2000000000022-2-22i2i−2i−2i2i2i−2i−2i0000−22i2−i2i2−i2−22−22−22i2−i2i2−i2i2−i2i2−i2−22−220000000000000000
χ3922-222-2-2-222i2i−2i−2i−2i−2i2i2i0000222-2-2-2-2000000000000-220000000000-2-2222i2i−2i−2i−2i−2i2i2i00002−2−i2i2i2−i2−222−22−2−i2i2−i2i2i2−i2i2−i2−22−220000000000000000
χ4022-222-2-2-222i2i−2i−2i−2i−2i2i2i0000222-2-2-2-2000000000000-220000000000-2-2222i2i−2i−2i−2i−2i2i2i0000−22i2−i2−i2i22−2−22−22i2−i2i2−i2−i2i2−i2i22−22−20000000000000000
χ4122-222-2-2-22−2i−2i2i2i2i2i−2i−2i0000222-2-2-2-2000000000000-220000000000-2-222−2i−2i2i2i2i2i−2i−2i00002−2i2−i2−i2i2−222−22−2i2−i2i2−i2−i2i2−i2i2−22−220000000000000000
χ4222-222-2-2-22−2i−2i2i2i2i2i−2i−2i0000222-2-2-2-2000000000000-220000000000-2-222−2i−2i2i2i2i2i−2i−2i0000−22−i2i2i2−i22−2−22−22−i2i2−i2i2i2−i2i2−i22−22−20000000000000000
χ4322-222-2-2-22−2i−2i2i2i−2i−2i2i2i0000222-2-2-2-20000000000002-2000000000022-2-2−2i−2i2i2i−2i−2i2i2i00002−2i2−i2i2−i22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−20000000000000000
χ4422-222-2-2-22−2i−2i2i2i−2i−2i2i2i0000222-2-2-2-20000000000002-2000000000022-2-2−2i−2i2i2i−2i−2i2i2i0000−22−i2i2−i2i2−22−22−22−i2i2−i2i2−i2i2−i2i2−22−220000000000000000
χ4522-222-2-2-2-12i2i−2i−2i2i2i−2i−2i0000-1-1-111113333−3−3−3−300002-200−i3−i3i3i3−i3−i3i3i3-1-111−i−iii−i−iii33−3−32−2−i2i2−i2i22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ4622-222-2-2-2-12i2i−2i−2i2i2i−2i−2i0000-1-1-111113333−3−3−3−300002-200−i3−i3i3i3−i3−i3i3i3-1-111−i−iii−i−iii33−3−3−22i2−i2i2−i2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ4722-222-2-2-2-12i2i−2i−2i2i2i−2i−2i0000-1-1-11111−3−3−3−3333300002-200i3i3−i3−i3i3i3−i3−i3-1-111−i−iii−i−iii−3−3332−2−i2i2−i2i22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ4822-222-2-2-2-12i2i−2i−2i2i2i−2i−2i0000-1-1-11111−3−3−3−3333300002-200i3i3−i3−i3i3i3−i3−i3-1-111−i−iii−i−iii−3−333−22i2−i2i2−i2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ4922-222-2-2-2-12i2i−2i−2i−2i−2i2i2i0000-1-1-111113333−3−3−3−30000-2200−i3−i3i3i3i3i3−i3−i311-1-1−i−iiiii−i−i−3−3332−2−i2i2i2−i2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ5022-222-2-2-2-12i2i−2i−2i−2i−2i2i2i0000-1-1-111113333−3−3−3−30000-2200−i3−i3i3i3i3i3−i3−i311-1-1−i−iiiii−i−i−3−333−22i2−i2−i2i22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ5122-222-2-2-2-12i2i−2i−2i−2i−2i2i2i0000-1-1-11111−3−3−3−333330000-2200i3i3−i3−i3−i3−i3i3i311-1-1−i−iiiii−i−i33−3−32−2−i2i2i2−i2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ5222-222-2-2-2-12i2i−2i−2i−2i−2i2i2i0000-1-1-11111−3−3−3−333330000-2200i3i3−i3−i3−i3−i3i3i311-1-1−i−iiiii−i−i33−3−3−22i2−i2−i2i22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ5322-222-2-2-2-1−2i−2i2i2i2i2i−2i−2i0000-1-1-111113333−3−3−3−30000-2200i3i3−i3−i3−i3−i3i3i311-1-1ii−i−i−i−iii−3−3332−2i2−i2−i2i2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ5422-222-2-2-2-1−2i−2i2i2i2i2i−2i−2i0000-1-1-111113333−3−3−3−30000-2200i3i3−i3−i3−i3−i3i3i311-1-1ii−i−i−i−iii−3−333−22−i2i2i2−i22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ5522-222-2-2-2-1−2i−2i2i2i2i2i−2i−2i0000-1-1-11111−3−3−3−333330000-2200−i3−i3i3i3i3i3−i3−i311-1-1ii−i−i−i−iii33−3−32−2i2−i2−i2i2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ5622-222-2-2-2-1−2i−2i2i2i2i2i−2i−2i0000-1-1-11111−3−3−3−333330000-2200−i3−i3i3i3i3i3−i3−i311-1-1ii−i−i−i−iii33−3−3−22−i2i2i2−i22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ5722-222-2-2-2-1−2i−2i2i2i−2i−2i2i2i0000-1-1-111113333−3−3−3−300002-200i3i3−i3−i3i3i3−i3−i3-1-111ii−i−iii−i−i33−3−32−2i2−i2i2−i22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ5822-222-2-2-2-1−2i−2i2i2i−2i−2i2i2i0000-1-1-111113333−3−3−3−300002-200i3i3−i3−i3i3i3−i3−i3-1-111ii−i−iii−i−i33−3−3−22−i2i2−i2i2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ5922-222-2-2-2-1−2i−2i2i2i−2i−2i2i2i0000-1-1-11111−3−3−3−3333300002-200−i3−i3i3i3−i3−i3i3i3-1-111ii−i−iii−i−i−3−3332−2i2−i2i2−i22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ6022-222-2-2-2-1−2i−2i2i2i−2i−2i2i2i0000-1-1-11111−3−3−3−3333300002-200−i3−i3i3i3−i3−i3i3i3-1-111ii−i−iii−i−i−3−333−22−i2i2−i2i2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ612-2-22-22-22200002-22-222-2-22-2-22-2-2222-2-222-2-2002-2000000002-22-2000000002-22-20000000000000000000000000000002-200002-2000000
χ622-2-22-22-22200002-22-222-2-22-2-22-2-2222-2-222-2-2002-2000000002-22-2000000002-22-2000000000000000000000000000000-220000-22000000
χ632-2-22-22-22200002-22-2-2-2222-2-22-2-22-2-222-2-22200-2200000000-22-22000000002-22-2000000000000000000000000000000000000002-2002-2
χ642-2-22-22-22200002-22-2-2-2222-2-22-2-22-2-222-2-22200-2200000000-22-22000000002-22-200000000000000000000000000000000000000-2200-22
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χ8644-4-4-444-4-200000000000022-2-2-22223−23−2323−232323−23000000−4i4i000000002i3−2i3−2i32i3000000002i−2i−2i2i0000000000000000000000000000000000000000
χ8744-4-4-444-4-200000000000022-2-2-222−232323−2323−23−23230000004i−4i000000002i3−2i3−2i32i300000000−2i2i2i−2i0000000000000000000000000000000000000000
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χ894-444-4-44-4400004i−4i−4i4i00004-4-4-444-4000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ904-444-4-44-440000−4i4i4i−4i00004-4-4-444-400000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
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χ934-444-4-44-4-20000−4i4i4i−4i0000-2222-2-222323−23−23−23−2323230000000000002i3−2i3−2i32i3000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ944-444-4-44-4-20000−4i4i4i−4i0000-2222-2-22−23−2323232323−23−23000000000000−2i32i32i3−2i3000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ954-44-444-4-444i−4i−4i4i00000000-44-44-44-400000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
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χ974-44-444-4-4-24i−4i−4i4i000000002-22-22-2223−2323−23−2323−232300000000−2i32i32i3−2i300000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ984-44-444-4-4-24i−4i−4i4i000000002-22-22-22−2323−232323−2323−23000000002i3−2i3−2i32i300000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ994-44-444-4-4-2−4i4i4i−4i000000002-22-22-2223−2323−23−2323−2323000000002i3−2i3−2i32i3000000002i−2i−2i2i000000000000000000000000000000000000000000000000
χ1004-44-444-4-4-2−4i4i4i−4i000000002-22-22-22−2323−232323−2323−2300000000−2i32i32i3−2i3000000002i−2i−2i2i000000000000000000000000000000000000000000000000
χ1014-4-44-44-44-200004-44-444-4-4-222-222-2-2-222-2-222004-400000000-22-2200000000-22-2200000000000000000000000000000000000000000000
χ1024-4-44-44-44-200004-44-4-4-444-222-222-222-2-222-2-200-44000000002-22-200000000-22-2200000000000000000000000000000000000000000000
χ1034-4-44-44-44-20000-44-4444-4-4-222-222-2-2-222-2-22200-44000000002-22-2000000002-22-200000000000000000000000000000000000000000000
χ1044-4-44-44-44-20000-44-44-4-444-222-222-222-2-222-2-2004-400000000-22-22000000002-22-200000000000000000000000000000000000000000000
χ1054-4-4-44-444-24-44-400004-44-42-222-22-2-22-22-22-224-4000000-22-2200000000-22-22000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-24-44-40000-44-442-222-22-22-22-22-22-2-440000002-22-200000000-22-22000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-44-4400004-44-42-222-22-2-22-22-22-22-440000002-22-2000000002-22-2000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-44-440000-44-442-222-22-22-22-22-22-24-4000000-22-22000000002-22-2000000000000000000000000000000000000000000000000

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