Finite Group Databasebeta

← Group #13168457

Character table — Group #13168457

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order1222333666666666333466666666612121212121212122244444466661212121236661212121212121212122466666666121212121212121212121212121212124444666121212121212122244661212121212121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111111111111111111-1111111111111-1-1-1-111-1-1111111-1-1111-111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-1111-1-11111-1-1-1-1111111111111-1-111-1-1-11-1-11111-1-11-1-1-1-1-111-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-11-1-1-1-1-111-1-111-111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11-1-11111-1-1-11-1-111-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11-111-1-11111-1-1-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-1-111-11-1-1-1-1-1-1-1-111111-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1111-1-11111-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-111111-1-1-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-1111-1-11111-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111111-1-1-111-1-1-11-1-1-1-1-1-1-1-1111111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-11-111-1-11111-1-1-1-11
χ17222222-12-12-1-12222-12-12-122-1-1-1-1-12222222220022220000000000-1-1-1-1-1-1-1-1-1-1-1-1-1220022000022-1-1-1-122002200000000-1-1-1-1-1-1-1-1-1-12200-1-100000000-100
χ18222222-12-12-1-12222-12-12-122-1-1-1-1-12222222220022-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-20022000022-1-111-2-200-2-200000000-1-1-11-1-11111-2-2001100000000100
χ19222222-12-12-1-12222-12-12-122-1-1-1-1-122222222200-2-2220000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2200-2-20000-2-211-1-122002200000000111-111-1-1-1-1-2-2001100000000100
χ20222222-12-12-1-12222-12-12-122-1-1-1-1-122222222200-2-2-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000-2-21111-2-200-2-20000000011111111112200-1-100000000-100
χ21222222-12-12-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20022220000000000-1-1-1-1111111111-2-200-2-2000022-1-1-1-12200-2-2000000001111-1-1-1-1112-200-1-100000000100
χ22222222-12-12-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20022-2-20000000000-1-1-1-1111111111-2200-2-2000022-1-111-2-2002200000000111-1-1-111-1-1-22001100000000-100
χ23222222-12-12-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-200-2-2220000000000-1-1-1-11111111112-200220000-2-211-1-12200-2-200000000-1-1-1111-1-111-22001100000000-100
χ24222222-12-12-1-12222-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-200-2-2-2-20000000000-1-1-1-11111111112200220000-2-21111-2-2002200000000-1-1-1-11111-1-12-200-1-100000000100
χ2522222-1222-122-12-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1222200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-1-1-1-1-1-1-1-1-12200002200-1-1-1-122002-1-10-1-10000000200-1-100-1-100000
χ2622222-1222-122-12-122-1-122-1-1-1-12-12-1-1-122-1-1-1-122-2-200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20-1-111-1-1-1-111-2-200002200-1-1-1-1-2-200-2110110000000-20011001100000
χ2722222-1222-122-12-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-22200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-12011-1-11111-1-1220000-2-2001111-2-2002-1-10-1-10000000-20011001100000
χ2822222-1222-122-12-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-201111111111-2-20000-2-20011112200-2110110000000200-1-100-1-100000
χ2922222-1222-122-12-122-1-1-22-1-1-1-12-12-111-2-21111222200-2-222221111-1-1-1-1-211-2-21111-20-1-111-1-1-1-1-1-1220000-2-20011112200-2110-1-10000000-2001100-1-100000
χ3022222-1222-122-12-122-1-1-22-1-1-1-12-12-111-2-2111122-2-200-2-222221111-1-1-1-1-211-2-2111120-1-1-1-1-1-1-1-111-2-20000-2-2001111-2-2002-1-10110000000200-1-1001100000
χ3122222-1222-122-12-122-1-1-22-1-1-1-12-12-111-2-21111-2-2220022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-2011111111-1-12200002200-1-1-1-1-2-200-2110-1-10000000200-1-1001100000
χ3222222-1222-122-12-122-1-1-22-1-1-1-12-12-111-2-21111-2-2-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-211112011-1-1111111-2-200002200-1-1-1-122002-1-10110000000-2001100-1-100000
χ332222-122-122222-12-1-1-122-1-1-122-12-1-122-1-1-1-1-1-122002222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1022200-1-1-1-1000022-1-1-1-1-1-1-1-1-1-10022000200-1-1-1-100200000-1-100-1-1000
χ342222-122-122222-12-1-1-122-1-1-122-12-1-122-1-1-1-1-1-12200-2-222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-22200-1-1-1-10000-2-211-1-111-1-1-1-100-2-2000-200111100-200000110011000
χ352222-122-122222-12-1-1-122-1-1-122-12-1-122-1-1-1-1-1-1-2-20022-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-102-2-2001111000022-1-111-1-1111100-2-2000200-1-1-1-100-200000110011000
χ362222-122-122222-12-1-1-122-1-1-122-12-1-122-1-1-1-1-1-1-2-200-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2-20011110000-2-211111111110022000-200111100200000-1-100-1-1000
χ372222-122-122222-12-1-1-12-2-1-1-122-12-1-1-2-2111111220022-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-22200-1-1-1-1000022-1-11111111100-2-2000-200-1-11100200000-1-10011000
χ382222-122-122222-12-1-1-12-2-1-1-122-12-1-1-2-21111112200-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2111111022200-1-1-1-10000-2-21111-1-11111002200020011-1-100-2000001100-1-1000
χ392222-122-122222-12-1-1-12-2-1-1-122-12-1-1-2-2111111-2-200222211112222-1-1-1-1-2-2-21111110-2-2-2001111000022-1-1-1-111-1-1-1-10022000-200-1-11100-2000001100-1-1000
χ402222-122-122222-12-1-1-12-2-1-1-122-12-1-1-2-2111111-2-200-2-22211112222-1-1-1-1-2-2-211111102-2-20011110000-2-211-1-1-1-1-1-1-1-100-2-200020011-1-100200000-1-10011000
χ4122-2-2222-2-22-22-22-2-22220-22-2-2-222-2-20000000000002-22i−2i00002i2i−2i−2i22-2-2000000000000000000000002-22-22i−2i002i2i−2i−2i002i−2i0000002-2000000000000002i−2i000
χ4222-2-2222-2-22-22-22-2-22220-22-2-2-222-2-20000000000002-2−2i2i0000−2i−2i2i2i22-2-2000000000000000000000002-22-2−2i2i00−2i−2i2i2i00−2i2i0000002-200000000000000−2i2i000
χ4322-2-2222-2-22-22-22-2-22220-22-2-2-222-2-2000000000000-222i−2i00002i2i−2i−2i22-2-200000000000000000000000-22-222i−2i002i2i−2i−2i00−2i2i000000-2200000000000000−2i2i000
χ4422-2-2222-2-22-22-22-2-22220-22-2-2-222-2-2000000000000-22−2i2i0000−2i−2i2i2i22-2-200000000000000000000000-22-22−2i2i00−2i−2i2i2i002i−2i000000-22000000000000002i−2i000
χ4522-2-2-1221-22-22-2-1-21-1-1201-11-2-2-1211003−333−3−300002-22i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−3000000−i3−i3i3i300002-2-11−ii3−3−i−iii002i−2i000000-113−300000000−i3i300−ii000
χ4622-2-2-1221-22-22-2-1-21-1-1201-11-2-2-1211003−333−3−300002-2−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−3000000i3i3−i3−i300002-2-11i−i3−3ii−i−i00−2i2i000000-113−300000000i3−i300i−i000
χ4722-2-2-1221-22-22-2-1-21-1-1201-11-2-2-1211003−333−3−30000-222i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−3000000−i3−i3i3i30000-221-1−ii−33−i−iii00−2i2i0000001-1−3300000000i3−i300i−i000
χ4822-2-2-1221-22-22-2-1-21-1-1201-11-2-2-1211003−333−3−30000-22−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−3000000i3i3−i3−i30000-221-1i−i−33ii−i−i002i−2i0000001-1−3300000000−i3i300−ii000
χ4922-2-2-1221-22-22-2-1-21-1-1201-11-2-2-121100−33−3−33300002-22i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−333000000i3i3−i3−i300002-2-11−ii−33−i−iii002i−2i000000-11−3300000000i3−i300−ii000
χ5022-2-2-1221-22-22-2-1-21-1-1201-11-2-2-121100−33−3−33300002-2−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−333000000−i3−i3i3i300002-2-11i−i−33ii−i−i00−2i2i000000-11−3300000000−i3i300i−i000
χ5122-2-2-1221-22-22-2-1-21-1-1201-11-2-2-121100−33−3−3330000-222i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−333000000i3i3−i3−i30000-221-1−ii3−3−i−iii00−2i2i0000001-13−300000000−i3i300i−i000
χ5222-2-2-1221-22-22-2-1-21-1-1201-11-2-2-121100−33−3−3330000-22−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−333000000−i3−i3i3i30000-221-1i−i3−3ii−i−i002i−2i0000001-13−300000000i3−i300−ii000
χ532-2-2222222-2-2-22-2-2-222202-222-2-2-2-2-2000000002-22i−2i00002-22-200002-22-2000000000002-2002-22-22i−2i2i−2i0000000000002i−2i0000002i−2i000000000000002i−2i00000
χ542-2-2222222-2-2-22-2-2-222202-222-2-2-2-2-2000000002-2−2i2i00002-22-200002-22-2000000000002-2002-22-2−2i2i−2i2i000000000000−2i2i000000−2i2i00000000000000−2i2i00000
χ552-2-2222222-2-2-22-2-2-222202-222-2-2-2-2-200000000-222i−2i0000-22-2200002-22-200000000000-2200-22-222i−2i2i−2i000000000000−2i2i0000002i−2i00000000000000−2i2i00000
χ562-2-2222222-2-2-22-2-2-222202-222-2-2-2-2-200000000-22−2i2i0000-22-2200002-22-200000000000-2200-22-22−2i2i−2i2i0000000000002i−2i000000−2i2i000000000000002i−2i00000
χ572-2-222-12221-2-2-1-21-22-1-1021-1-11-21-213−3003−33−32-22i−2i00002-22-23−33−3-11-1103−3003−33−300-11−i3i3-11-11−ii2i−2i000000003−33−32i−2i000−i3i30−ii0000000000−i3i300−ii00000
χ582-2-222-12221-2-2-1-21-22-1-1021-1-11-21-213−3003−33−32-2−2i2i00002-22-23−33−3-11-1103−3003−33−300-11i3−i3-11-11i−i−2i2i000000003−33−3−2i2i000i3−i30i−i0000000000i3−i300i−i00000
χ592-2-222-12221-2-2-1-21-22-1-1021-1-11-21-213−3003−33−3-222i−2i0000-22-22−33−33-11-1103−3003−33−3001-1−i3i31-11-1−ii2i−2i00000000−33−33−2i2i000−i3i30−ii0000000000i3−i300i−i00000
χ602-2-222-12221-2-2-1-21-22-1-1021-1-11-21-213−3003−33−3-22−2i2i0000-22-22−33−33-11-1103−3003−33−3001-1i3−i31-11-1i−i−2i2i00000000−33−332i−2i000i3−i30i−i0000000000−i3i300−ii00000
χ612-2-222-12221-2-2-1-21-22-1-1021-1-11-21-21−3300−33−332-22i−2i00002-22-2−33−33-11-110−3300−33−3300-11i3−i3-11-11−ii2i−2i00000000−33−332i−2i000i3−i30−ii0000000000i3−i300−ii00000
χ622-2-222-12221-2-2-1-21-22-1-1021-1-11-21-21−3300−33−332-2−2i2i00002-22-2−33−33-11-110−3300−33−3300-11−i3i3-11-11i−i−2i2i00000000−33−33−2i2i000−i3i30i−i0000000000−i3i300i−i00000
χ632-2-222-12221-2-2-1-21-22-1-1021-1-11-21-21−3300−33−33-222i−2i0000-22-223−33−3-11-110−3300−33−33001-1i3−i31-11-1−ii2i−2i000000003−33−3−2i2i000i3−i30−ii0000000000−i3i300i−i00000
χ642-2-222-12221-2-2-1-21-22-1-1021-1-11-21-21−3300−33−33-22−2i2i0000-22-223−33−3-11-110−3300−33−33001-1−i3i31-11-1i−i−2i2i000000003−33−32i−2i000−i3i30i−i0000000000i3−i300−ii00000
χ6544444-2-24-2-2-2-2-24-24-2-214-2-2-211-21-2-2-2-244-2-2-2-200440000000000001111-211-2-211114000-2-20000-2-2-2-20000000000000000-211011000000000000000000000
χ6644444-2-24-2-2-2-2-24-24-2-214-2-2-211-21-2-2-2-244-2-2-2-200-4-40000000000001111-211-2-21111-4000220000222200000000000000002-1-10-1-1000000000000000000000
χ6744444-2-24-2-2-2-2-24-24-2-21-4-2-2-211-21-2-222-4-42222004400000000000011112-1-122-1-1-1-1-4000220000-2-2-2-200000000000000002-1-1011000000000000000000000
χ6844444-2-24-2-2-2-2-24-24-2-21-4-2-2-211-21-2-222-4-4222200-4-400000000000011112-1-122-1-1-1-14000-2-2000022220000000000000000-2110-1-1000000000000000000000
χ694444-24-2-2-24-2-24-24-21-2-241-2-2-2-21-21-244-2-2-2-2-2-200004400000000001111-2-2-211111104000000000000-2-2-2-200-2-200000000000-200111100000000000000000
χ704444-24-2-2-24-2-24-24-21-2-241-2-2-2-21-21-244-2-2-2-2-2-20000-4-400000000001111-2-2-21111110-40000000000002222002200000000000200-1-1-1-100000000000000000
χ714444-24-2-2-24-2-24-24-21-2-2-41-2-2-2-21-21-2-4-422222200004400000000001111222-1-1-1-1-1-10-4000000000000-2-2-2-200220000000000020011-1-100000000000000000
χ724444-24-2-2-24-2-24-24-21-2-2-41-2-2-2-21-21-2-4-42222220000-4-400000000001111222-1-1-1-1-1-104000000000000222200-2-200000000000-200-1-11100000000000000000
χ734444-2-24-24-244-2-2-2-2-21-24-211-2-2-2-2-21-2-2-2-2111144000044-2-2-2-2-2-2-2-211114-2-2-2-2111100-2-200111100000000-2-20011110000000000000000000000000000000
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χ754444-2-24-24-244-2-2-2-2-21-2-4-211-2-2-2-2-212222-1-1-1-1440000-4-4-2-2-2-222221111-42222-1-1-1-100-2-2001111000000002200-1-1-1-10000000000000000000000000000000
χ764444-2-24-24-244-2-2-2-2-21-2-4-211-2-2-2-2-212222-1-1-1-1-4-40000442222-2-2-2-21111-42222-1-1-1-1002200-1-1-1-100000000-2-20011110000000000000000000000000000000
χ7744-4-444-2-4242-2-44-4-4-24-2024-422-2-22-40000000000004-40000000000-2-22200000000000000000000000-224-4000000000000000000-220000000000000000000
χ7844-4-444-2-4242-2-44-4-4-24-2024-422-2-22-4000000000000-440000000000-2-222000000000000000000000002-2-440000000000000000002-20000000000000000000
χ7944-4-44-24-4-4-2-44242-44-2-20-4-22224-2-42000000000000004i−4i0000−2i−2i2i2i-2-2220000000000000000000000000004i−4i00−2i−2i2i2i0000000000000000000000000000000
χ8044-4-44-24-4-4-2-44242-44-2-20-4-22224-2-4200000000000000−4i4i00002i2i−2i−2i-2-222000000000000000000000000000−4i4i002i2i−2i−2i0000000000000000000000000000000
χ8144-4-4-24-22242-2-4-2-421-2-20-1-22221-2-120023−232323−23−2300004-4000000000011-1-1000−33−3−33300000000000000-22-220023−23000000000000001-1−3300000000000000000
χ8244-4-4-24-22242-2-4-2-421-2-20-1-22221-2-120023−232323−23−230000-44000000000011-1-1000−33−3−333000000000000002-22-200−232300000000000000-113−300000000000000000
χ8344-4-4-24-22242-2-4-2-421-2-20-1-22221-2-1200−2323−23−23232300004-4000000000011-1-10003−333−3−300000000000000-22-2200−2323000000000000001-13−300000000000000000
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χ8544-4-4-2-242-4-2-442-222-21-2021-122-2-22-10023−23−3−3330000004i−4i−2i3−2i32i32i3−2i−2i2i2i11-1-100023−23−3−333000000i3i3−i3−i300000000−2i2i00ii−i−i0000000000000000000000000000000
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χ8744-4-4-2-242-4-2-442-222-21-2021-122-2-22-100−232333−3−30000004i−4i2i32i3−2i3−2i3−2i−2i2i2i11-1-1000−232333−3−3000000−i3−i3i3i300000000−2i2i00ii−i−i0000000000000000000000000000000
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χ894-44-4444-4-4-44-4-4-4444440-4-4-4-44-4-4440000000000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
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χ944-44-4-2442-4-44-4-424-2-2-240222-442-4-2-20000000000000000−2i32i32i3−2i30000-222-2000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000000
χ954-44-4-2442-4-44-4-424-2-2-240222-442-4-2-200000000000000002i3−2i3−2i32i30000-222-20000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000000
χ964-44-4-2-242-424-422-2-2-21-202-1-12-222-2100003-3-3300000000−2i32i32i3−2i32i3−2i3−2i32i31-1-11000003-3-33000000i3−i3−i3i3000000000000−i3i3i3−i30000000000000000000000000000000
χ974-44-4-2-242-424-422-2-2-21-202-1-12-222-2100003-3-33000000002i3−2i3−2i32i3−2i32i32i3−2i31-1-11000003-3-33000000−i3i3i3−i3000000000000i3−i3−i3i30000000000000000000000000000000
χ984-44-4-2-242-424-422-2-2-21-202-1-12-222-210000-333-300000000−2i32i32i3−2i3−2i32i32i3−2i31-1-1100000-333-3000000i3−i3−i3i3000000000000i3−i3−i3i30000000000000000000000000000000
χ994-44-4-2-242-424-422-2-2-21-202-1-12-222-210000-333-3000000002i3−2i3−2i32i32i3−2i3−2i32i31-1-1100000-333-3000000−i3i3i3−i3000000000000−i3i3i3−i30000000000000000000000000000000
χ1004-4-4444-24-2-4224-4-4-4-24-20-2-44-22222-400000000004i−4i000000000000-22-2200000000000000000004i−4i−2i2i00000000000000000000−2i2i000000000000000000000
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χ1024-4-444-2-24-2222-2-42-4-2-210-22-21-12-12223−230023−2323−23004i−4i0000000000001-11-10−3300−33−330000−2i32i30000−2i2i−2i2i00000000000000000i3−i30i−i000000000000000000000
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χ1054-4-444-2-24-2222-2-42-4-2-210-22-21-12-122−232300−2323−232300−4i4i0000000000001-11-103−3003−33−30000−2i32i300002i−2i2i−2i00000000000000000i3−i30−ii000000000000000000000
χ1064-4-44-244-24-4-4-442-42-2-240-22-24-42-422000000004-4000000-22-220000-22-22000000000004-400-22-2200000000000000000000000000000000000000000000000
χ1074-4-44-244-24-4-4-442-42-2-240-22-24-42-42200000000-440000002-22-20000-22-2200000000000-44002-22-200000000000000000000000000000000000000000000000
χ1084-4-44-2-24-242-4-4-2222-21-20-2-11-22222-123−2300−33−334-4000000-22-2223−2323−231-11-1023−2300−33−3300-22001-11-1000000000000−33−330000000000000000000000000000000
χ1094-4-44-2-24-242-4-4-2222-21-20-2-11-22222-123−2300−33−33-440000002-22-2−2323−23231-11-1023−2300−33−33002-200-11-110000000000003−33−30000000000000000000000000000000
χ1104-4-44-2-24-242-4-4-2222-21-20-2-11-22222-1−2323003−33−34-4000000-22-22−2323−23231-11-10−2323003−33−300-22001-11-10000000000003−33−30000000000000000000000000000000
χ1114-4-44-2-24-242-4-4-2222-21-20-2-11-22222-1−2323003−33−3-440000002-22-223−2323−231-11-10−2323003−33−3002-200-11-11000000000000−33−330000000000000000000000000000000
χ1128888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ11488-8-88-4-4-84-44-4484-8-4-4204-44-2-2-424400000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-444-44-44-4442220-22-2-2-222-2-20043−43−23−2323230000000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-444-44-44-4442220-22-2-2-222-2-200−43432323−23−230000000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-88-4-4-844-444-8-48-4-420444-224-2-4-40000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-444-8-44-848-42-4-40-2444-4-242-40000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4444-4444-4-42220-2-2-2-22-2-22200006-6-660000000000000000-111-100000-333-3000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4444-4444-4-42220-2-2-2-22-2-2220000-666-60000000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000
χ1218-8-88-48-4-4-4-84484-842-4-4024-4-44-24-240000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4-4-4444-444422202-222-2-2-2-2-243−4300−2323−23230000000000000000-11-110−2323003−33−3000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4-4-4444-444422202-222-2-2-2-2-2−43430023−2323−230000000000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000

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