Finite Group Databasebeta

← Group #11872768

Character table — Group #11872768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222444444444444444444444444444444446666888888888888888881212121212121212121212121212121212121212121212122424242424242436364848727272
order12223344666666234444466666121212121212121212121212121212121212121244446661212121212121212121212121212222244666666668812121212121212122482424242488612248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111111-1-1-1-11
χ611111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1
χ711111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1
χ811111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11
χ911111111111111-11-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-111-1-111-111-1-1
χ1011111111111111-11-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-11-1-111
χ1111111111111111-11-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-11-111-1-1-1-1-11-111
χ1211111111111111-11-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-11-1-111111-11-1-1
χ1311111111111111-11-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-111-1-1111-1-11-1
χ1411111111111111-11-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111-1-1-111-11
χ1511111111111111-11-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-11-11-11
χ1611111111111111-11-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-111-1-11111-11-11-1
χ17222222-2-222222222-2000022222-2-2-2-2-2-200000000-2-2-2-2-2-222-2-22220000-2-2000000000000-22000000000022-2-222-2-200000000000000
χ18222222-2-222222222-2000022222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2222220000-2-20000000000002-20000000000-2-222-2-22200000000000000
χ19222222-2-2222222-2220000-2-2222-2-22222000000002222-2-222-2-2-2-2-20000-2-20000000000002-2000000000022-2-2-2-22200000000000000
χ20222222-2-2222222-2220000-2-2222-2-22222000000002222-2-2-2-222-2-2-20000-2-2000000000000-220000000000-2-22222-2-200000000000000
χ2122222-12222-12-1-12-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-100000000000000
χ2222222-12222-12-1-12-122222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111001111111100000000000000
χ2322222-12222-12-1-12-12-2-2-2-2-1-1-1-1-1-1-122-1-111111111-1-1-1-12222222-1-1-2-2-2-2-1-111111111-2-2-2-2221111111100-1-1-1-1-1-1-1-100000000000000
χ2422222-12222-12-1-12-12-2-2-2-2-1-1-1-1-1-1-122-1-111111111-1-1-1-122-2-2-2-22-1-1-2-2-2-2-1-1111111112222-2-2-1-1-1-1-1-1-1-1001111111100000000000000
χ2522222-12222-12-1-1-2-1-222-2-211-1-1-1-1-1-2-211-1-1-1-111111111222222-211-2-222-1-1-1-1-1-1111122-2-2-2-2-1-1-1-1111100-1-1-1-1111100000000000000
χ2622222-12222-12-1-1-2-1-222-2-211-1-1-1-1-1-2-211-1-1-1-11111111122-2-2-2-2-211-2-222-1-1-1-1-1-11111-2-222221111-1-1-1-1001111-1-1-1-100000000000000
χ2722222-12222-12-1-1-2-1-2-2-22211-1-1-1-1-1-2-2111111-1-1-1-11111222222-21122-2-2-1-11111-1-1-1-1-2-222-2-21111-1-1-1-100-1-1-1-1111100000000000000
χ2822222-12222-12-1-1-2-1-2-2-22211-1-1-1-1-1-2-2111111-1-1-1-1111122-2-2-2-2-21122-2-2-1-11111-1-1-1-122-2-222-1-1-1-11111001111-1-1-1-100000000000000
χ2922222-1-2-222-12-1-12-1-20000-1-1-1-1-111-2-211−i3−i3i3i3−i3−i3i3i31111-2-222-2-22-1-1000011−i3−i3i3i3−i3−i3i3i30000-22−i3−i3i3i3−i3−i3i3i300-1-111-1-11100000000000000
χ3022222-1-2-222-12-1-12-1-20000-1-1-1-1-111-2-211−i3−i3i3i3−i3−i3i3i31111-2-2-2-2222-1-1000011−i3−i3i3i3−i3−i3i3i300002-2i3i3−i3−i3i3i3−i3−i30011-1-111-1-100000000000000
χ3122222-1-2-222-12-1-12-1-20000-1-1-1-1-111-2-211i3i3−i3−i3i3i3−i3−i31111-2-222-2-22-1-1000011i3i3−i3−i3i3i3−i3−i30000-22i3i3−i3−i3i3i3−i3−i300-1-111-1-11100000000000000
χ3222222-1-2-222-12-1-12-1-20000-1-1-1-1-111-2-211i3i3−i3−i3i3i3−i3−i31111-2-2-2-2222-1-1000011i3i3−i3−i3i3i3−i3−i300002-2−i3−i3i3i3−i3−i3i3i30011-1-111-1-100000000000000
χ3322222-1-2-222-12-1-1-2-12000011-1-1-11122-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-1-2-222-2-2-211000011−i3−i3i3i3i3i3−i3−i300002-2−i3−i3i3i3i3i3−i3−i300-1-11111-1-100000000000000
χ3422222-1-2-222-12-1-1-2-12000011-1-1-11122-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-1-2-2-2-222-211000011−i3−i3i3i3i3i3−i3−i30000-22i3i3−i3−i3−i3−i3i3i30011-1-1-1-11100000000000000
χ3522222-1-2-222-12-1-1-2-12000011-1-1-11122-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-1-2-222-2-2-211000011i3i3−i3−i3−i3−i3i3i300002-2i3i3−i3−i3−i3−i3i3i300-1-11111-1-100000000000000
χ3622222-1-2-222-12-1-1-2-12000011-1-1-11122-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-1-2-2-2-222-211000011i3i3−i3−i3−i3−i3i3i30000-22−i3−i3i3i3i3i3−i3−i30011-1-1-1-11100000000000000
χ372222-1222-1-12-1222-12222222-1-1-122-1-12222222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002200000000222-1-1-1-100-1-1000
χ382222-1222-1-12-1222-12222222-1-1-122-1-12222222222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200000000-2-2-211110011000
χ392222-1222-1-12-1222-12-2-2-2-222-1-1-122-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-10000-1-1-11111-1-111111111000000000000002200000000-2-22-1-1-1-10011000
χ402222-1222-1-12-1222-12-2-2-2-222-1-1-122-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-10000-1-1-11111-1-11111111100000000000000-2-20000000022-2111100-1-1000
χ412222-1222-1-12-122-2-1-222-2-2-2-2-1-1-12211-2-22222-2-2-2-21111-1-1000011111-1-1-1-1-1-1-1-11111000000000000002200000000-22-2-1-111001-1000
χ422222-1222-1-12-122-2-1-222-2-2-2-2-1-1-12211-2-22222-2-2-2-21111-1-1000011111-1-1-1-1-1-1-1-1111100000000000000-2-2000000002-2211-1-100-11000
χ432222-1222-1-12-122-2-1-2-2-222-2-2-1-1-12211-2-2-2-2-2-222221111-1-10000111-1-111-1-11111-1-1-1-10000000000000022000000002-2-2-1-11100-11000
χ442222-1222-1-12-122-2-1-2-2-222-2-2-1-1-12211-2-2-2-2-2-222221111-1-10000111-1-111-1-11111-1-1-1-100000000000000-2-200000000-22211-1-1001-1000
χ4522-2-2222-22-22-2-2-2020002i−2i002-2-22-2000000002i−2i2i−2i00002-22i−2i2i−2i0002i−2i002-200002i−2i2i−2i002-20000002-22-2002i−2i2i−2i000000000000000000
χ4622-2-2222-22-22-2-2-2020002i−2i002-2-22-2000000002i−2i2i−2i00002-2−2i2i−2i2i0002i−2i002-200002i−2i2i−2i00-22000000-22-2200−2i2i−2i2i000000000000000000
χ4722-2-2222-22-22-2-2-202000−2i2i002-2-22-200000000−2i2i−2i2i00002-22i−2i2i−2i000−2i2i002-20000−2i2i−2i2i00-22000000-22-22002i−2i2i−2i000000000000000000
χ4822-2-2222-22-22-2-2-202000−2i2i002-2-22-200000000−2i2i−2i2i00002-2−2i2i−2i2i000−2i2i002-20000−2i2i−2i2i002-20000002-22-200−2i2i−2i2i000000000000000000
χ4922-2-222-222-22-2-2-20202i−2i00002-2-2-2200002i−2i2i−2i00000000-222i−2i−2i2i000002i−2i-222i−2i2i−2i00002-200002-22-20000002i−2i−2i2i000000000000000000
χ5022-2-222-222-22-2-2-20202i−2i00002-2-2-2200002i−2i2i−2i00000000-22−2i2i2i−2i000002i−2i-222i−2i2i−2i0000-220000-22-22000000−2i2i2i−2i000000000000000000
χ5122-2-222-222-22-2-2-2020−2i2i00002-2-2-220000−2i2i−2i2i00000000-222i−2i−2i2i00000−2i2i-22−2i2i−2i2i0000-220000-22-220000002i−2i−2i2i000000000000000000
χ5222-2-222-222-22-2-2-2020−2i2i00002-2-2-220000−2i2i−2i2i00000000-22−2i2i2i−2i00000−2i2i-22−2i2i−2i2i00002-200002-22-2000000−2i2i2i−2i000000000000000000
χ5322-2-22-12-22-2-1-2110-10002i−2i−i3i3-111-1100−i3i33−3−33−ii−ii−i3−i3i3i32-22i−2i2i−2i0−i3i32i−2i00-113−3−33−ii−ii002-200−i3i3i3−i3-11-1100−ii−ii3−33−300000000000000
χ5422-2-22-12-22-2-1-2110-10002i−2i−i3i3-111-1100−i3i33−3−33−ii−ii−i3−i3i3i32-2−2i2i−2i2i0−i3i32i−2i00-113−3−33−ii−ii00-2200i3−i3−i3i31-11-100i−ii−i−33−3300000000000000
χ5522-2-22-12-22-2-1-2110-10002i−2ii3−i3-111-1100i3−i3−333−3−ii−iii3i3−i3−i32-22i−2i2i−2i0i3−i32i−2i00-11−333−3−ii−ii002-200i3−i3−i3i3-11-1100−ii−ii−33−3300000000000000
χ5622-2-22-12-22-2-1-2110-10002i−2ii3−i3-111-1100i3−i3−333−3−ii−iii3i3−i3−i32-2−2i2i−2i2i0i3−i32i−2i00-11−333−3−ii−ii00-2200−i3i3i3−i31-11-100i−ii−i3−33−300000000000000
χ5722-2-22-12-22-2-1-2110-1000−2i2i−i3i3-111-1100−i3i3−333−3i−ii−i−i3−i3i3i32-22i−2i2i−2i0−i3i3−2i2i00-11−333−3i−ii−i00-2200i3−i3−i3i31-11-100−ii−ii3−33−300000000000000
χ5822-2-22-12-22-2-1-2110-1000−2i2i−i3i3-111-1100−i3i3−333−3i−ii−i−i3−i3i3i32-2−2i2i−2i2i0−i3i3−2i2i00-11−333−3i−ii−i002-200−i3i3i3−i3-11-1100i−ii−i−33−3300000000000000
χ5922-2-22-12-22-2-1-2110-1000−2i2ii3−i3-111-1100i3−i33−3−33i−ii−ii3i3−i3−i32-22i−2i2i−2i0i3−i3−2i2i00-113−3−33i−ii−i00-2200−i3i3i3−i31-11-100−ii−ii−33−3300000000000000
χ6022-2-22-12-22-2-1-2110-1000−2i2ii3−i3-111-1100i3−i33−3−33i−ii−ii3i3−i3−i32-2−2i2i−2i2i0i3−i3−2i2i00-113−3−33i−ii−i002-200i3−i3−i3i3-11-1100i−ii−i3−33−300000000000000
χ6122-2-22-1-222-2-1-2110-102i−2i00−i3i3-1111-100i3−i3−ii−ii3−3−33i3i3−i3−i3-222i−2i−2i2i0−i3i3002i−2i1-1−ii−ii3−3−332-20000-11-11−i3i3i3−i300−iii−i3−3−3300000000000000
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χ6322-2-22-1-222-2-1-2110-102i−2i00i3−i3-1111-100−i3i3−ii−ii−333−3−i3−i3i3i3-222i−2i−2i2i0i3−i3002i−2i1-1−ii−ii−333−32-20000-11-11i3−i3−i3i300−iii−i−333−300000000000000
χ6422-2-22-1-222-2-1-2110-102i−2i00i3−i3-1111-100−i3i3−ii−ii−333−3−i3−i3i3i3-22−2i2i2i−2i0i3−i3002i−2i1-1−ii−ii−333−3-2200001-11-1−i3i3i3−i300i−i−ii3−3−3300000000000000
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χ6622-2-22-1-222-2-1-2110-10−2i2i00−i3i3-1111-100i3−i3i−ii−i−333−3i3i3−i3−i3-22−2i2i2i−2i0−i3i300−2i2i1-1i−ii−i−333−32-20000-11-11−i3i3i3−i300i−i−ii−333−300000000000000
χ6722-2-22-1-222-2-1-2110-10−2i2i00i3−i3-1111-100−i3i3i−ii−i3−3−33−i3−i3i3i3-222i−2i−2i2i0i3−i300−2i2i1-1i−ii−i3−3−33-2200001-11-1−i3i3i3−i300−iii−i−333−300000000000000
χ6822-2-22-1-222-2-1-2110-10−2i2i00i3−i3-1111-100−i3i3i−ii−i3−3−33−i3−i3i3i3-22−2i2i2i−2i0i3−i300−2i2i1-1i−ii−i3−3−332-20000-11-11i3−i3−i3i300i−i−ii3−3−3300000000000000
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χ724444-2-244-2-2-2-2-2-2414-4-4-4-4-2-2111-2-2-2-2-2-2222222221111-2-20000-211222211-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ744444-2-244-2-2-2-2-2-2-41-4-4-44422111-2-222222222-2-2-2-2-1-1-1-1-2-200002-1-1-2-22211-1-1-1-1111100000000000000000000000000000000000000
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χ764444-2-2-4-4-2-2-2-2-2-241-40000-2-21112222222i32i3−2i3−2i32i32i3−2i3−2i3-1-1-1-1220000-2110000-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ774444-2-2-4-4-2-2-2-2-2-2-41400002211122-2-2-2-2−2i3−2i32i32i32i32i3−2i3−2i311112200002-1-10000-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000
χ784444-2-2-4-4-2-2-2-2-2-2-41400002211122-2-2-2-22i32i3−2i3−2i3−2i3−2i32i32i311112200002-1-10000-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ7944-4-4-244-4-2242-4-40-20004i−4i00-2224-4000000004i−4i4i−4i0000-220000000−2i2i00-220000−2i2i−2i2i00000000000000000000000000000000000000
χ8044-4-4-244-4-2242-4-40-2000−4i4i00-2224-400000000−4i4i−4i4i0000-2200000002i−2i00-2200002i−2i2i−2i00000000000000000000000000000000000000
χ8144-4-4-24-44-2242-4-40-204i−4i0000-222-4400004i−4i4i−4i000000002-2000000000−2i2i2-2−2i2i−2i2i000000000000000000000000000000000000000000
χ8244-4-4-24-44-2242-4-40-20−4i4i0000-222-440000−4i4i−4i4i000000002-20000000002i−2i2-22i−2i2i−2i000000000000000000000000000000000000000000
χ8344-4-4-2-24-4-22-2222010004i−4i−2i32i31-1-1-2200−2i32i323−23−2323−2i2i−2i2ii3i3−i3−i3-2200000i3−i3−2i2i001-1−333−3i−ii−i00000000000000000000000000000000000000
χ8444-4-4-2-24-4-22-2222010004i−4i2i3−2i31-1-1-22002i3−2i3−232323−23−2i2i−2i2i−i3−i3i3i3-2200000−i3i3−2i2i001-13−3−33i−ii−i00000000000000000000000000000000000000
χ8544-4-4-2-24-4-22-222201000−4i4i−2i32i31-1-1-2200−2i32i3−232323−232i−2i2i−2ii3i3−i3−i3-2200000i3−i32i−2i001-13−3−33−ii−ii00000000000000000000000000000000000000
χ8644-4-4-2-24-4-22-222201000−4i4i2i3−2i31-1-1-22002i3−2i323−23−23232i−2i2i−2i−i3−i3i3i3-2200000−i3i32i−2i001-1−333−3−ii−ii00000000000000000000000000000000000000
χ8744-4-4-2-2-44-22-22220104i−4i00−2i32i31-1-12-2002i3−2i3−2i2i−2i2i23−23−2323−i3−i3i3i32-200000i3−i300−2i2i-11i−ii−i−333−300000000000000000000000000000000000000
χ8844-4-4-2-2-44-22-22220104i−4i002i3−2i31-1-12-200−2i32i3−2i2i−2i2i−232323−23i3i3−i3−i32-200000−i3i300−2i2i-11i−ii−i3−3−3300000000000000000000000000000000000000
χ8944-4-4-2-2-44-22-2222010−4i4i00−2i32i31-1-12-2002i3−2i32i−2i2i−2i−232323−23−i3−i3i3i32-200000i3−i3002i−2i-11−ii−ii3−3−3300000000000000000000000000000000000000
χ9044-4-4-2-2-44-22-2222010−4i4i002i3−2i31-1-12-200−2i32i32i−2i2i−2i23−23−2323i3i3−i3−i32-200000−i3i3002i−2i-11−ii−ii−333−300000000000000000000000000000000000000
χ914-44-44400-4-4-444-4040000000-44-400000000000000000000000000000000000000000000000000000000000000000000000022−2200000
χ924-44-44400-4-4-444-4040000000-44-4000000000000000000000000000000000000000000000000000000000000000000000000−222200000
χ934-4-444400-44-4-4-44040000000-4-44000000000000000000000000000000000000000000000000000000022−220000000000022−22000000000
χ944-4-444400-44-4-4-44040000000-4-440000000000000000000000000000000000000000000000000000000−222200000000000−2222000000000
χ954-4-44-24002-2-42-440-2000000022-20023−23000000000023−2323−23000000000000000000000000000000000000022−2200000000000−226−60000000
χ964-4-44-24002-2-42-440-2000000022-20023−23000000000023−2323−230000000000000000000000000000000000000−2222000000000002−2−660000000
χ974-4-44-24002-2-42-440-2000000022-200−23230000000000−2323−2323000000000000000000000000000000000000022−2200000000000−22−660000000
χ984-4-44-24002-2-42-440-2000000022-200−23230000000000−2323−23230000000000000000000000000000000000000−2222000000000002−26−60000000
χ998-88-88-400-8-848-440-400000004-440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-480044-8-48-80-400000004-440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-400444-4-44020000000-22-2000000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-400444-4-44020000000-22-200000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ1038-8-888-400-884-84-40-4000000044-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4004-4444-4020000000-2-220043−430000000000−2323−23230000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4004-4444-4020000000-2-2200−4343000000000023−2323−230000000000000000000000000000000000000000000000000000000000000

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