Finite Group Databasebeta

← Group #13168447

Character table — Group #13168447

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order12223336666666663334666666666121212121212121244441212121236661212121212121212122244666666661212121212121212121212121212446666121212121212121222244666612126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1111-1-1111-1-1-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-111-1-11-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111111111111111111111-111111111-1-1-1-111-1-1111111-1-111111-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11-1-1-1-111-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-11-1-11-1-1-1-11111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11-11111-1-1-1-111-1-1-11111-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-111-1-1-1-11-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11-11-111111-1-1-11-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-1-1-1-1111-11-111111-1-1-11-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1111111-11-111-1-1-1-11-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-111-1-111-1-1-11111-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-11-1-1-1-11111-1-11
χ17222222-1-122-1-12222-12-12-122-1-1-1-1-122222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-102220000000022-1-1-1-122000000002-1-1-12-1-1-1-1-1-1-10220000-1-100-10000
χ18222222-1-122-1-12222-12-12-122-1-1-1-1-122222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-220000000022-1-1112200000000-2111-2-1-1-111-1-10-2-20000110010000
χ19222222-1-122-1-12222-12-12-122-1-1-1-1-1222222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1022-200000000-2-211-1-1-2-2000000002-1-1-12111-1-1110-2-20000110010000
χ20222222-1-122-1-12222-12-12-122-1-1-1-1-1222222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-200000000-2-21111-2-200000000-2111-211111110220000-1-100-10000
χ21222222-1-122-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-222000000-1-1-1-111111111102-2-20000000022-1-111-2-2000000002-1-1-1-21-1-1111102-200001100-10000
χ22222222-1-122-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-22-20000000022-1-1-1-1-2-200000000-211121-1-1-1-1110-220000-1-10010000
χ23222222-1-122-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-2-2-2000000-1-1-1-111111111102-2200000000-2-2111122000000002-1-1-1-2-11111-1-10-220000-1-10010000
χ24222222-1-122-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-2-2-2000000-1-1-1-11111111110-22200000000-2-211-1-12200000000-21112-111-1-1-1-102-200001100-10000
χ2522222-1222-122-12-12-1-122-1-1-122-12-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1200222-1-1-1-1-1-1-1-12200-1-122-1-1-1-122000002-1-100-1-120000-1-100-1-100000
χ2622222-1222-122-12-12-1-122-1-1-122-12-1-1-1-122-1-1-1-122-2-21111-1-1-1-1222-1-1-1-1-1-1-2002-2-2111111-1-12200-1-1-2-21111-2-2000002-1-100-1-1-2000011001100000
χ2722222-1222-122-12-12-1-122-1-1-122-12-1-1-1-122-1-1-1-1-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1200-222-1-1-1-1-1-111-2-2001122-1-1-1-1-2-200000-2110011-2000011001100000
χ2822222-1222-122-12-12-1-122-1-1-122-12-1-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-2-211111111-2-20011-2-211112200000-211001120000-1-100-1-100000
χ2922222-1222-122-12-12-1-12-2-1-1-122-12-1-111-2-211112222-1-1-1-1-1-1-1-1-2-2-2111111-200-2-2-2111111-1-122001122-1-1-1-12200000-2-1-10011-200001100-1-100000
χ3022222-1222-122-12-12-1-12-2-1-1-122-12-1-111-2-2111122-2-21111-1-1-1-1-2-2-2111111200-222-1-1-1-1-1-1-1-1220011-2-21111-2-200000-2-1-1001120000-1-1001100000
χ3122222-1222-122-12-12-1-12-2-1-1-122-12-1-111-2-21111-2-222-1-1-1-1-1-1-1-1-2-2-2111111-2002-2-211111111-2-200-1-122-1-1-1-1-2-20000021100-1-120000-1-1001100000
χ3222222-1222-122-12-12-1-12-2-1-1-122-12-1-111-2-21111-2-2-2-21111-1-1-1-1-2-2-2111111200222-1-1-1-1-1-111-2-200-1-1-2-21111220000021100-1-1-200001100-1-100000
χ332222-1222-12222-12-12-1-122-1-1-1-12-12-122-1-1-1-1-1-100222222-1-1-1-12-1-122-1-1-1-12220-1-122-1-1-1-100002200-1-1-1-1-1-100-12-1-1-1000-1-100000220000000-1-100
χ342222-1222-12222-12-12-1-122-1-1-1-12-12-122-1-1-1-1-1-100222222-1-1-1-12-1-122-1-1-1-12-2-20-1-122-1-1-1-10000-2-200-1-1-1-1-1-1001-21110001100000-2-200000001100
χ352222-1222-12222-12-12-1-122-1-1-1-12-12-122-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-222011-2-211110000220011111100-12-1-1-1000-1-100000-2-200000001100
χ362222-1222-12222-12-12-1-122-1-1-1-12-12-122-1-1-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2-2011-2-211110000-2-200111111001-21110001100000220000000-1-100
χ372222-1222-12222-12-12-1-1-22-1-1-1-12-12-1-2-211111100222222-1-1-1-1-211-2-21111-22-2011-2-211110000-2-200-1-1-1-1-1-100-12-1-110001100000-220000000-1100
χ382222-1222-12222-12-12-1-1-22-1-1-1-12-12-1-2-211111100222222-1-1-1-1-211-2-21111-2-22011-2-2111100002200-1-1-1-1-1-1001-211-1000-1-1000002-200000001-100
χ392222-1222-12222-12-12-1-1-22-1-1-1-12-12-1-2-211111100-2-2-2-2-2-2-1-1-1-1-211-2-2111122-20-1-122-1-1-1-10000-2-20011111100-12-1-1100011000002-200000001-100
χ402222-1222-12222-12-12-1-1-22-1-1-1-12-12-1-2-211111100-2-2-2-2-2-2-1-1-1-1-211-2-211112-220-1-122-1-1-1-100002200111111001-211-1000-1-100000-220000000-1100
χ4122-2-2222-222-22-2-2-2-22220-22-2-2-222-2-2000000002-22i−2i2i2i−2i−2i22-2-20000000000000000000002-22-200002i−2i2i2i−2i−2i2i−2i0000002-200000000000002i−2i00000
χ4222-2-2222-222-22-2-2-2-22220-22-2-2-222-2-2000000002-2−2i2i−2i−2i2i2i22-2-20000000000000000000002-22-20000−2i2i−2i−2i2i2i−2i2i0000002-20000000000000−2i2i00000
χ4322-2-2222-222-22-2-2-2-22220-22-2-2-222-2-200000000-222i−2i2i2i−2i−2i22-2-2000000000000000000000-22-2200002i−2i2i2i−2i−2i−2i2i000000-220000000000000−2i2i00000
χ4422-2-2222-222-22-2-2-2-22220-22-2-2-222-2-200000000-22−2i2i−2i−2i2i2i22-2-2000000000000000000000-22-220000−2i2i−2i−2i2i2i2i−2i000000-2200000000000002i−2i00000
χ4522-2-22-12-22-1-221-21-2-1-1201-11-2-2-12113−30033−3−32-22i−2i−i−iii-1-1110003−333−3−3000000−i3i3−i3−i3i3i3-112-2003−32i−2i−i−iii2i−2i000000-11003−300000−i3i300−ii00000
χ4622-2-22-12-22-1-221-21-2-1-1201-11-2-2-12113−30033−3−32-2−2i2iii−i−i-1-1110003−333−3−3000000i3−i3i3i3−i3−i3-112-2003−3−2i2iii−i−i−2i2i000000-11003−300000i3−i300i−i00000
χ4722-2-22-12-22-1-221-21-2-1-1201-11-2-2-12113−30033−3−3-222i−2i−i−iii-1-1110003−333−3−3000000−i3i3−i3−i3i3i31-1-2200−332i−2i−i−iii−2i2i0000001-100−3300000i3−i300i−i00000
χ4822-2-22-12-22-1-221-21-2-1-1201-11-2-2-12113−30033−3−3-22−2i2iii−i−i-1-1110003−333−3−3000000i3−i3i3i3−i3−i31-1-2200−33−2i2iii−i−i2i−2i0000001-100−3300000−i3i300−ii00000
χ4922-2-22-12-22-1-221-21-2-1-1201-11-2-2-1211−3300−3−3332-22i−2i−i−iii-1-111000−33−3−333000000i3−i3i3i3−i3−i3-112-200−332i−2i−i−iii2i−2i000000-1100−3300000i3−i300−ii00000
χ5022-2-22-12-22-1-221-21-2-1-1201-11-2-2-1211−3300−3−3332-2−2i2iii−i−i-1-111000−33−3−333000000−i3i3−i3−i3i3i3-112-200−33−2i2iii−i−i−2i2i000000-1100−3300000−i3i300i−i00000
χ5122-2-22-12-22-1-221-21-2-1-1201-11-2-2-1211−3300−3−333-222i−2i−i−iii-1-111000−33−3−333000000i3−i3i3i3−i3−i31-1-22003−32i−2i−i−iii−2i2i0000001-1003−300000−i3i300i−i00000
χ5222-2-22-12-22-1-221-21-2-1-1201-11-2-2-1211−3300−3−333-22−2i2iii−i−i-1-111000−33−3−333000000−i3i3−i3−i3i3i31-1-22003−3−2i2iii−i−i2i−2i0000001-1003−300000i3−i300−ii00000
χ5344444-2-2-24-2-2-2-24-241-2-241-2-2-2-21-21-2-2-244-2-2-2-2440000001111-2-2-2111111000400000000-2-2-2-200-2-20000000000000-21100110000000000000000
χ5444444-2-2-24-2-2-2-24-241-2-241-2-2-2-21-21-2-2-244-2-2-2-2-4-40000001111-2-2-2111111000-4000000002222002200000000000002-1-100-1-10000000000000000
χ5544444-2-2-24-2-2-2-24-241-2-2-41-2-2-2-21-21-222-4-42222440000001111222-1-1-1-1-1-1000-400000000-2-2-2-20022000000000000021100-1-10000000000000000
χ5644444-2-2-24-2-2-2-24-241-2-2-41-2-2-2-21-21-222-4-42222-4-40000001111222-1-1-1-1-1-1000400000000222200-2-20000000000000-2-1-100110000000000000000
χ574444-24-2-2-24-2-24-24-2-2-214-2-2-211-21-2-244-2-2-2-2-2-2000000001111-211-2-211110440000000000000-2-20000000000-2-211-200011000000000000000000
χ584444-24-2-2-24-2-24-24-2-2-214-2-2-211-21-2-244-2-2-2-2-2-2000000001111-211-2-211110-4-4000000000000022000000000022-1-12000-1-1000000000000000000
χ594444-24-2-2-24-2-24-24-2-2-21-4-2-2-211-21-2-2-4-42222220000000011112-1-122-1-1-1-104-40000000000000220000000000-2-2112000-1-1000000000000000000
χ604444-24-2-2-24-2-24-24-2-2-21-4-2-2-211-21-2-2-4-42222220000000011112-1-122-1-1-1-10-440000000000000-2-2000000000022-1-1-200011000000000000000000
χ614444-2-244-2-244-2-2-2-2-21-24-211-2-2-2-2-21-2-2-2-211110044-2-2-2-211114-2-2-2-211114000-2-2-2-2111100000000-2-21111000000000000000000000000000000
χ624444-2-244-2-244-2-2-2-2-21-24-211-2-2-2-2-21-2-2-2-2111100-4-4222211114-2-2-2-21111-40002222-1-1-1-10000000022-1-1-1-1000000000000000000000000000000
χ634444-2-244-2-244-2-2-2-2-21-2-4-211-2-2-2-2-212222-1-1-1-10044-2-2-2-21111-42222-1-1-1-1-40002222-1-1-1-100000000-2-21111000000000000000000000000000000
χ644444-2-244-2-244-2-2-2-2-21-2-4-211-2-2-2-2-212222-1-1-1-100-4-422221111-42222-1-1-1-14000-2-2-2-211110000000022-1-1-1-1000000000000000000000000000000
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χ7044-4-44-2-224-22-22-42-41-2-20-1-22221-2-12−232300−23−232323-4400000011-1-10003−333−3−30000000000002-22-20023−2300000000000000-1100−330000000000000000
χ7144-4-4-244-4-24-44-42-424-2-20-4-22224-2-4200000000004i−4i4i4i−4i−4i-2-22200000000000000000000000000000−2i2i−2i−2i2i2i000000000000000000000000000000
χ7244-4-4-244-4-24-44-42-424-2-20-4-22224-2-420000000000−4i4i−4i−4i4i4i-2-222000000000000000000000000000002i−2i2i2i−2i−2i000000000000000000000000000000
χ7344-4-4-2-24-4-2-2-442222-21-2021-122-2-22-123−2300−3−333004i−4i−2i−2i2i2i11-1-100023−23−3−333000000−2i32i3i3i3−i3−i300000000−2i2iii−i−i000000000000000000000000000000
χ7444-4-4-2-24-4-2-2-442222-21-2021-122-2-22-123−2300−3−33300−4i4i2i2i−2i−2i11-1-100023−23−3−3330000002i3−2i3−i3−i3i3i3000000002i−2i−i−iii000000000000000000000000000000
χ7544-4-4-2-24-4-2-2-442222-21-2021-122-2-22-1−23230033−3−3004i−4i−2i−2i2i2i11-1-1000−232333−3−30000002i3−2i3−i3−i3i3i300000000−2i2iii−i−i000000000000000000000000000000
χ7644-4-4-2-24-4-2-2-442222-21-2021-122-2-22-1−23230033−3−300−4i4i2i2i−2i−2i11-1-1000−232333−3−3000000−2i32i3i3i3−i3−i3000000002i−2i−i−iii000000000000000000000000000000
χ774-44-4444-4-4-44-44-4-444440-4-4-4-44-4-44400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ784-44-444-22-4-4-224-4-44-24-202-4-42-222-240000000000000000-222-200000000000000000000000000000000000000000000000000000000−2i32i30000000
χ794-44-444-22-4-4-224-4-44-24-202-4-42-222-240000000000000000-222-2000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ804-44-44-24-4-424-4-2-424-2-240222-442-4-2-2000000000000−2i32i3−2i32i3-222-20000000000000000000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ814-44-44-24-4-424-4-2-424-2-240222-442-4-2-20000000000002i3−2i32i3−2i3-222-200000000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000000
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χ834-44-4-244-42-44-442-4-24-2-20-4222-2-424-20000000000000000-222-200000000000002i3−2i3002i3−2i32i3−2i300000000000000000000000000000000000000000000
χ844-44-4-2-24-4224-4-222-2-21-202-1-12-222-2100003-33-30000−2i32i3−2i32i31-1-11000003-33-30000−2i32i300i3−i3i3−i30000000000i3−i3i3−i3000000000000000000000000000000
χ854-44-4-2-24-4224-4-222-2-21-202-1-12-222-2100003-33-300002i3−2i32i3−2i31-1-11000003-33-300002i3−2i300−i3i3−i3i30000000000−i3i3−i3i3000000000000000000000000000000
χ864-44-4-2-24-4224-4-222-2-21-202-1-12-222-210000-33-330000−2i32i3−2i32i31-1-1100000-33-3300002i3−2i300−i3i3−i3i30000000000i3−i3i3−i3000000000000000000000000000000
χ874-44-4-2-24-4224-4-222-2-21-202-1-12-222-210000-33-3300002i3−2i32i3−2i31-1-1100000-33-330000−2i32i300i3−i3i3−i30000000000−i3i3−i3i3000000000000000000000000000000
χ884-4-444444-4-4-4-4-444-444404-444-4-4-4-4-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ894-4-4444-2-2-4-422-444-4-24-20-2-44-22222-40000000000000000-22-22000000000000000000000000023−2300000000000000000023−23000000000000000000
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χ974-4-44-24-2-22-422-4-242-2-210-22-21-12-12200−2323−232323−23000000001-11-103−3003−3−33000000000000000023−23000000000000-330000−33000000000000000000
χ984-4-44-24-2-22-422-4-242-2-210-22-21-12-12200−2323−232323−23000000001-11-103−3003−3−330000000000000000−23230000000000003-300003−3000000000000000000
χ994-4-44-2-24422-4-42-2-22-21-20-2-11-22222-10023−23−333−3000023−23−23231-11-1023−2300−333−3000000003-3-330000000000−333−3000000000000000000000000000000
χ1004-4-44-2-24422-4-42-2-22-21-20-2-11-22222-10023−23−333−30000−232323−231-11-1023−2300−333−300000000-333-300000000003−3−33000000000000000000000000000000
χ1014-4-44-2-24422-4-42-2-22-21-20-2-11-22222-100−23233−3−33000023−23−23231-11-10−2323003−3−3300000000-333-30000000000−333−3000000000000000000000000000000
χ1024-4-44-2-24422-4-42-2-22-21-20-2-11-22222-100−23233−3−330000−232323−231-11-10−2323003−3−33000000003-3-3300000000003−3−33000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-48-44-484-4-84-84-4-4204-44-2-2-4244000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-44-444442220-22-2-2-222-2-243−4300−23−23232300000000-1-111000−232333−3−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-4-44-444442220-22-2-2-222-2-2−4343002323−23−2300000000-1-11100023−23−3−33300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-44-84-44-4-8482-4-40-2444-4-242-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-444-8-4484-8-4-4-420444-224-2-4-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-44-444-42220-2-2-2-22-2-22200006-66-600000000-111-100000-33-3300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-44-444-42220-2-2-2-22-2-2220000-66-6600000000-111-1000003-33-300000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4-4-844448-4-82-4-4024-4-44-24-2400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-444444-4-4422202-222-2-2-2-2-20043−43−232323−2300000000-11-110−2323003−3−3300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-444444-4-4422202-222-2-2-2-2-200−434323−23−232300000000-11-11023−2300−333−300000000000000000000000000000000000000000000000000000000

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