Finite Group Databasebeta

← Group #11817788

Character table — Group #11817788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222444444444424446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-111-1-1-1-111-1-11111-1-111-1-111
χ711111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-11111-1-111-1-1-1-11111-1-111
χ811111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-11111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-11111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1
χ17222222222-1222222-1-1-12-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200002200002002-1-1-1-100000000-1-1-1-1000000
χ18222222222-1222222-1-1-12-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-20000-200-21111000000001111000000
χ19222222222-1222222-1-1-12-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111220000220000-200-2-1-11100000000-1-111000000
χ20222222222-1222222-1-1-12-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-20000-2-20000200211-1-10000000011-1-1000000
χ21222222222-1-2-2-2-222-1-1-12-1-1-12222-1-122-2-2-1-1-1-1-1-1-111112222-1-1-1-11111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111220000-2-20000-2002-1-1110000000011-1-1000000
χ22222222222-1-2-2-2-222-1-1-12-1-1-12222-1-122-2-2-1-1-1-1-1-1-111112222-1-1-1-11111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-20000220000200-211-1-100000000-1-111000000
χ23222222222-1-2-2-2-222-1-1-12-1-1-12222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1220000-2-20000200-2-1-1-1-1000000001111000000
χ24222222222-1-2-2-2-222-1-1-12-1-1-12222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-20000220000-2002111100000000-1-1-1-1000000
χ2522222222-122222-1-1222-1222-1-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200000002200000-1-1-1-1-1-1-1-10000000000
χ2622222222-122222-1-1222-1222-1-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000-2-200000111111110000000000
χ2722222222-122222-1-1222-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111111111110022220000000-2-200000-1-111-1-1110000000000
χ2822222222-122222-1-1222-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111100-2-2-2-20000000220000011-1-111-1-10000000000
χ2922222222-12-2-2-2-2-1-1222-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110022-2-200000002-20000011-1-1-1-1110000000000
χ3022222222-12-2-2-2-2-1-1222-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-11111111100-2-2220000000-2200000-1-11111-1-10000000000
χ3122222222-12-2-2-2-2-1-1222-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-222221111-1-1-1-11111111111111111-1-1-1-1-1-1-1-10022-2-20000000-22000001111-1-1-1-10000000000
χ3222222222-12-2-2-2-2-1-1222-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-222221111-1-1-1-11111111111111111-1-1-1-1-1-1-1-100-2-22200000002-200000-1-1-1-111110000000000
χ33222-2-2-2-22220000222-2-222-2-2-2-2-2-2222-20022-2-22-2-2000022-2-222-2-2000000000000000000002222-2-2-2-200000000000000002i2i−2i−2i000000000000000000002i−2i0000
χ34222-2-2-2-22220000222-2-222-2-2-2-2-2-2222-20022-2-22-2-2000022-2-222-2-2000000000000000000002222-2-2-2-20000000000000000−2i−2i2i2i00000000000000000000−2i2i0000
χ35222-2-2-2-22220000222-2-222-2-2-2-2-2-222-220022-2-22-2-20000-2-222-2-22200000000000000000000-2-2-2-2222200000000000000002i2i−2i−2i00000000000000000000−2i2i0000
χ36222-2-2-2-22220000222-2-222-2-2-2-2-2-222-220022-2-22-2-20000-2-222-2-22200000000000000000000-2-2-2-222220000000000000000−2i−2i2i2i000000000000000000002i−2i0000
χ3722-2-22-22-2222i2i−2i−2i2-222-2-2-22-22-22-2-2200002-22-2-22-22i2i−2i−2i0000000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000000000002-200002i−2i000000002-200000000002i−2i00000000
χ3822-2-22-22-2222i2i−2i−2i2-222-2-2-22-22-22-2-2200002-22-2-22-22i2i−2i−2i0000000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i0000000000000000-220000−2i2i00000000-220000000000−2i2i00000000
χ3922-2-22-22-222−2i−2i2i2i2-222-2-2-22-22-22-2-2200002-22-2-22-2−2i−2i2i2i000000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000000000002-20000−2i2i000000002-20000000000−2i2i00000000
χ4022-2-22-22-222−2i−2i2i2i2-222-2-2-22-22-22-2-2200002-22-2-22-2−2i−2i2i2i000000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i0000000000000000-2200002i−2i00000000-2200000000002i−2i00000000
χ4122-2-22-22-22-12i2i−2i−2i2-2-1-11-21-112-22-21-10000-11-111-11−i−iii00003−33−3−i3−i3i3i32i2i−2i−2i0000−i−i−i−iiiii33−3−333−3−3−i3−i3−i3−i3i3i3i3i32-200002i−2i00000000-11−i3i300000000−ii3−3000000
χ4222-2-22-22-22-12i2i−2i−2i2-2-1-11-21-112-22-21-10000-11-111-11−i−iii00003−33−3−i3−i3i3i32i2i−2i−2i0000−i−i−i−iiiii33−3−333−3−3−i3−i3−i3−i3i3i3i3i3-220000−2i2i000000001-1i3−i300000000i−i−33000000
χ4322-2-22-22-22-12i2i−2i−2i2-2-1-11-21-112-22-21-10000-11-111-11−i−iii0000−33−33i3i3−i3−i32i2i−2i−2i0000−i−i−i−iiiii−3−333−3−333i3i3i3i3−i3−i3−i3−i32-200002i−2i00000000-11i3−i300000000−ii−33000000
χ4422-2-22-22-22-12i2i−2i−2i2-2-1-11-21-112-22-21-10000-11-111-11−i−iii0000−33−33i3i3−i3−i32i2i−2i−2i0000−i−i−i−iiiii−3−333−3−333i3i3i3i3−i3−i3−i3−i3-220000−2i2i000000001-1−i3i300000000i−i3−3000000
χ4522-2-22-22-22-1−2i−2i2i2i2-2-1-11-21-112-22-21-10000-11-111-11ii−i−i00003−33−3i3i3−i3−i3−2i−2i2i2i0000iiii−i−i−i−i33−3−333−3−3i3i3i3i3−i3−i3−i3−i32-20000−2i2i00000000-11i3−i300000000i−i3−3000000
χ4622-2-22-22-22-1−2i−2i2i2i2-2-1-11-21-112-22-21-10000-11-111-11ii−i−i00003−33−3i3i3−i3−i3−2i−2i2i2i0000iiii−i−i−i−i33−3−333−3−3i3i3i3i3−i3−i3−i3−i3-2200002i−2i000000001-1−i3i300000000−ii−33000000
χ4722-2-22-22-22-1−2i−2i2i2i2-2-1-11-21-112-22-21-10000-11-111-11ii−i−i0000−33−33−i3−i3i3i3−2i−2i2i2i0000iiii−i−i−i−i−3−333−3−333−i3−i3−i3−i3i3i3i3i32-20000−2i2i00000000-11−i3i300000000i−i−33000000
χ4822-2-22-22-22-1−2i−2i2i2i2-2-1-11-21-112-22-21-10000-11-111-11ii−i−i0000−33−33−i3−i3i3i3−2i−2i2i2i0000iiii−i−i−i−i−3−333−3−333−i3−i3−i3−i3i3i3i3i3-2200002i−2i000000001-1i3−i300000000−ii3−3000000
χ492-222-2-22-2222i−2i2i−2i-2-2-22222-2-222-2-2-220000-2-2222-2-22i−2i2i−2i0000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-200000000000000000000002i−2i00
χ502-222-2-22-2222i−2i2i−2i-2-2-22222-2-222-2-2-220000-2-2222-2-22i−2i2i−2i0000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-220000000000000000000000−2i2i00
χ512-222-2-22-222−2i2i−2i2i-2-2-22222-2-222-2-2-220000-2-2222-2-2−2i2i−2i2i000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-20000000000000000000000−2i2i00
χ522-222-2-22-222−2i2i−2i2i-2-2-22222-2-222-2-2-220000-2-2222-2-2−2i2i−2i2i000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-2200000000000000000000002i−2i00
χ532-22-222-2-2220000-2-2-2-2-22222-2-222-22002-2-2-2-2-22220000000000002-22-2000022-2-2000000000000000022-2-222-2-2000000002i−2i−2i2i0000000000000000000000002i−2i
χ542-22-222-2-2220000-2-2-2-2-22222-2-222-22002-2-2-2-2-22220000000000002-22-2000022-2-2000000000000000022-2-222-2-200000000−2i2i2i−2i000000000000000000000000−2i2i
χ552-22-222-2-2220000-2-2-2-2-22222-2-222-2200-22-2-2-2-2222000000000000-22-220000-2-2220000000000000000-2-222-2-222000000002i−2i−2i2i000000000000000000000000−2i2i
χ562-22-222-2-2220000-2-2-2-2-22222-2-222-2200-22-2-2-2-2222000000000000-22-220000-2-2220000000000000000-2-222-2-22200000000−2i2i2i−2i0000000000000000000000002i−2i
χ572-2-2-2-2222222-2-22-22-22-2-2-2-222-2-22220000-222-2-2-222-2-220000000000002-2-22000022-2-2-2-2220000000000000000002-22-2000000000000002-2002-2000000000000
χ582-2-2-2-2222222-2-22-22-22-2-2-2-222-2-22220000-222-2-2-222-2-220000000000002-2-22000022-2-2-2-222000000000000000000-22-2200000000000000-2200-22000000000000
χ592-2-2-2-222222-222-2-22-22-2-2-2-222-2-22220000-222-2-2-22-222-2000000000000-222-20000-2-22222-2-20000000000000000002-2-2200000000000000-22002-2000000000000
χ602-2-2-2-222222-222-2-22-22-2-2-2-222-2-22220000-222-2-2-22-222-2000000000000-222-20000-2-22222-2-2000000000000000000-222-2000000000000002-200-22000000000000
χ612-2-2-2-2222-122-2-221-1-22-21-2-22-111-12-100001-1-1111-12-2-223−33−300000000-111-13−33−3-1-11111-1-13−33−33−33−33−33−33−33−3002-22-200000000000000-113−3-113−30000000000
χ622-2-2-2-2222-122-2-221-1-22-21-2-22-111-12-100001-1-1111-12-2-223−33−300000000-111-13−33−3-1-11111-1-13−33−33−33−33−33−33−33−300-22-22000000000000001-1−331-1−330000000000
χ632-2-2-2-2222-122-2-221-1-22-21-2-22-111-12-100001-1-1111-12-2-22−33−3300000000-111-1−33−33-1-11111-1-1−33−33−33−33−33−33−33−33002-22-200000000000000-11−33-11−330000000000
χ642-2-2-2-2222-122-2-221-1-22-21-2-22-111-12-100001-1-1111-12-2-22−33−3300000000-111-1−33−33-1-11111-1-1−33−33−33−33−33−33−33−3300-22-22000000000000001-13−31-13−30000000000
χ652-2-2-2-2222-12-222-21-1-22-21-2-22-111-12-100001-1-1111-1-222-23−33−3000000001-1-11−33−3311-1-1-1-1113−33−33−33−3−33−33−33−33002-2-22000000000000001-13−3-11−330000000000
χ662-2-2-2-2222-12-222-21-1-22-21-2-22-111-12-100001-1-1111-1-222-23−33−3000000001-1-11−33−3311-1-1-1-1113−33−33−33−3−33−33−33−3300-222-200000000000000-11−331-13−30000000000
χ672-2-2-2-2222-12-222-21-1-22-21-2-22-111-12-100001-1-1111-1-222-2−33−33000000001-1-113−33−311-1-1-1-111−33−33−33−333−33−33−33−3002-2-22000000000000001-1−33-113−30000000000
χ682-2-2-2-2222-12-222-21-1-22-21-2-22-111-12-100001-1-1111-1-222-2−33−33000000001-1-113−33−311-1-1-1-111−33−33−33−333−33−33−33−300-222-200000000000000-113−31-1−330000000000
χ6944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000000000000000000
χ7044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-2222222222222-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ9244-4-44-44-4-2-24i4i−4i−4i-22-2-2222-22-22-222100001-11-1-11-1−2i−2i2i2i000023−2323−23−2i3−2i32i32i3−2i−2i2i2i0000iiii−i−i−i−i−3−333−3−333i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000000
χ9344-4-44-44-4-2-24i4i−4i−4i-22-2-2222-22-22-222100001-11-1-11-1−2i−2i2i2i0000−2323−23232i32i3−2i3−2i3−2i−2i2i2i0000iiii−i−i−i−i33−3−333−3−3−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000000000
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χ9544-4-44-44-4-2-2−4i−4i4i4i-22-2-2222-22-22-222100001-11-1-11-12i2i−2i−2i0000−2323−2323−2i3−2i32i32i32i2i−2i−2i0000−i−i−i−iiiii33−3−333−3−3i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000000
χ964-444-4-44-44-24i−4i4i−4i-4-42-2-24-22244-4-42-2000022-2-2-222−2i2i−2i2i0000000000004i−4i4i−4i0000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000
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χ1024-444-4-44-4-2-2−4i4i−4i4i222-2-2-2-222-2-222210000-1-1111-1-12i−2i2i−2i0000000000002i−2i2i−2i0000−i−iii−i−iii3-3-333-3-333i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ1034-444-4-44-4-2-2−4i4i−4i4i222-2-2-2-222-2-222210000-1-1111-1-12i−2i2i−2i0000000000002i−2i2i−2i0000−i−iii−i−iii-333-3-333-3−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
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χ1184-4-444-4-44-2-200002-222-222-222-2-22-210000-11-11-11-1000023−23−232300002i3−2i3−2i32i300000000−3i3i3i−3i3i−3i−3i3i−33−333−33−3−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
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χ1204-4-444-4-44-2-200002-222-222-222-2-22-210000-11-11-11-10000−232323−2300002i3−2i3−2i32i3000000003i−3i−3i3i−3i3i3i−3i3−33−3−33−33−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ1214-4-4-4-44444-24-4-44-442-22-422-24-4-44-2-200002-2-2222-2-222-20000000000004-4-440000-2-22222-2-2000000000000000000000000000000000000000000000000000000
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χ1234-4-4-4-4444-2-24-4-442-22-22222-2-222-2-210000-111-1-1-11-222-223−2323−2300000000-222-223−2323−2311-1-1-1-111−33−33−33−33−33−33−33−3300000000000000000000000000000000000000
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χ1254-4-4-4-4444-2-2-444-42-22-22222-2-222-2-210000-111-1-1-112-2-2223−2323−23000000002-2-22−2323−2323-1-11111-1-1−33−33−33−333−33−33−33−300000000000000000000000000000000000000
χ1264-4-4-4-4444-2-2-444-42-22-22222-2-222-2-210000-111-1-1-112-2-22−2323−2323000000002-2-2223−2323−23-1-11111-1-13−33−33−33−3−33−33−33−3300000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).