Finite Group Databasebeta

← Group #13156992

Character table — Group #13156992

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11222222222222244444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212242424242424242424242424363636363636727272727272216
order12222333666666633366666666666666666666366666666666224444666612121212121212121212121212121212121212126666661212121212122466121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-11-11111-1-11111111111-1-1111111111-111-1-11-111-1-1-1-1-1-1-1-11-111-1-1-1
χ4111111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111111111111111111111111-11-1111-1-11111111111-1-11111111111-11-1-111-11-1-111-1-1-1-1-1-1-11-1-111-1
χ611111111111111111111111111111111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-1-1-11-111-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ92222222-1222222-12-1-12222-1-1-1222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-100000000-1-1-1-10000000022-1-1-1-122-1-1-1-122-1-1-1-10000000
χ102222222-1222222-12-1-12222-1-1-1222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12-22-200-1-11100000000-1-111000000002-2-1-1112-2-1-111-2-211110000000
χ112222222-1222222-12-1-12222-1-1-1222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-22-220011-1-10000000011-1-100000000-2211-1-1-2211-1-1-2-211110000000
χ122222222-1222222-12-1-12222-1-1-1222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111100000000111100000000-2-21111-2-2111122-1-1-1-10000000
χ13222222-12222-1-1-12-12-122-1-1222-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-1-1-1-102022200222222-1-1-1-10022-1-1-1-1-1-1-1-10-100-1-10-100-1-10000000200-1-10
χ14222222-12222-1-1-12-12-122-1-1222-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-1-1-1-10202-2-20022-2-2-2-211110022111111110-100-1-10-100-1-10000000-200110
χ15222222-12222-1-1-12-12-122-1-1222-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-1-1-1-10-20-22200-2-22222-1-1-1-100-2-2-1-1-1-1-1-1-1-10100110100110000000-200110
χ16222222-12222-1-1-12-12-122-1-1222-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-1-1-1-10-20-2-2-200-2-2-2-2-2-2111100-2-2111111110100110100110000000200-1-10
χ1722222-122-1-1-12222-1-12-1-122222-1-1-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-12020222200-1-1-1-122222200-1-1-1-1-1-1-1-1-10-1-100-10-1-10000000020-1-1000
χ1822222-122-1-1-12222-1-12-1-122222-1-1-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-12020-2-222001111-2-2-2-2220011111111-10-1-100-10-1-100000000-2011000
χ1922222-122-1-1-12222-1-12-1-122222-1-1-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-20-2022-2-200-1-1-1-12222-2-200-1-1-1-1-1-1-1-1101100101100000000-2011000
χ2022222-122-1-1-12222-1-12-1-122222-1-1-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-20-20-2-2-2-2001111-2-2-2-2-2-2001111111110110010110000000020-1-1000
χ21222-2-22222222-2-22222-2-22-22-2-222-2-2-2-222-2-22222-2-22-2222-2-2-2-220-2000220000000000-2-20000000000202200-20-2-2000000000000000
χ22222-2-22222222-2-22222-2-22-22-2-222-2-2-2-222-2-22222-2-22-2222-2-2-2-2-202000-2-20000000000220000000000-20-2-2002022000000000000000
χ23222-2-222-12222-2-2-12-1-1-2-22-2-11122-2-2-2-2-1-111-1-12-111-11-1-1-1111120-2000-1-1−i3i30000000011−i3i30000000020-1-1−i3i3-2011−i3i300−i3i3−i3i30000000
χ24222-2-222-12222-2-2-12-1-1-2-22-2-11122-2-2-2-2-1-111-1-12-111-11-1-1-1111120-2000-1-1i3−i30000000011i3−i30000000020-1-1i3−i3-2011i3−i300i3−i3i3−i30000000
χ25222-2-222-12222-2-2-12-1-1-2-22-2-11122-2-2-2-2-1-111-1-12-111-11-1-1-11111-20200011−i3i300000000-1-1−i3i300000000-2011−i3i320-1-1−i3i300i3−i3i3−i30000000
χ26222-2-222-12222-2-2-12-1-1-2-22-2-11122-2-2-2-2-1-111-1-12-111-11-1-1-11111-20200011i3−i300000000-1-1i3−i300000000-2011i3−i320-1-1i3−i300−i3i3−i3i30000000
χ27222-2-2-122-1-1-12-2-22-1-12112-22-2-2-1-11111-1-1-2-2-12-1-1112-2-1-1-1111120-20002200−i3−i3i3i30000-2-200−i3−i3−i3−i3i3i3i3i3-10-1-10010110000000000−i3i3000
χ28222-2-2-122-1-1-12-2-22-1-12112-22-2-2-1-11111-1-1-2-2-12-1-1112-2-1-1-1111120-20002200i3i3−i3−i30000-2-200i3i3i3i3−i3−i3−i3−i3-10-1-10010110000000000i3−i3000
χ29222-2-2-122-1-1-12-2-22-1-12112-22-2-2-1-11111-1-1-2-2-12-1-1112-2-1-1-11111-202000-2-200−i3−i3i3i300002200−i3−i3−i3−i3i3i3i3i3101100-10-1-10000000000i3−i3000
χ30222-2-2-122-1-1-12-2-22-1-12112-22-2-2-1-11111-1-1-2-2-12-1-1112-2-1-1-11111-202000-2-200i3i3−i3−i300002200i3i3i3i3−i3−i3−i3−i3101100-10-1-10000000000−i3i3000
χ3122-22-22222-2-222222222-2-2-2-22-2-2-222-2-2-2-22222222-2-2-22-2-222-2-2020-20000220000000000-2-2000000000200220-200-2-20000000000000
χ3222-22-22222-2-222222222-2-2-2-22-2-2-222-2-2-2-22222222-2-2-22-2-222-2-20-2020000-2-2000000000022000000000-200-2-20200220000000000000
χ3322-22-222-12-2-2222-12-1-12-2-2-21-11-2-222-2-211-1-1-1-12-1-1111-111-1-111020-200−i3i3-1-100000000−i3i3110000000002−i3i3-1-10-2−i3i31100−i3i3i3−i30000000
χ3422-22-222-12-2-2222-12-1-12-2-2-21-11-2-222-2-211-1-1-1-12-1-1111-111-1-111020-200i3−i3-1-100000000i3−i3110000000002i3−i3-1-10-2i3−i31100i3−i3−i3i30000000
χ3522-22-222-12-2-2222-12-1-12-2-2-21-11-2-222-2-211-1-1-1-12-1-1111-111-1-1110-20200−i3i31100000000−i3i3-1-1000000000-2−i3i31102−i3i3-1-100i3−i3−i3i30000000
χ3622-22-222-12-2-2222-12-1-12-2-2-21-11-2-222-2-211-1-1-1-12-1-1111-111-1-1110-20200i3−i31100000000i3−i3-1-1000000000-2i3−i31102i3−i3-1-100−i3i3i3−i30000000
χ3722-22-22-122-2-2-1-1-12-12-12-211-22-211-1-111-2-2-1-12-1-1-12-211-111-1-111020-20000220000−i3−i3i3i300-2-2−i3−i3i3i3−i3−i3i3i30-100-1-10100110000000000−i3i30
χ3822-22-22-122-2-2-1-1-12-12-12-211-22-211-1-111-2-2-1-12-1-1-12-211-111-1-111020-20000220000i3i3−i3−i300-2-2i3i3−i3−i3i3i3−i3−i30-100-1-10100110000000000i3−i30
χ3922-22-22-122-2-2-1-1-12-12-12-211-22-211-1-111-2-2-1-12-1-1-12-211-111-1-1110-2020000-2-20000−i3−i3i3i30022−i3−i3i3i3−i3−i3i3i30100110-100-1-10000000000i3−i30
χ4022-22-22-122-2-2-1-1-12-12-12-211-22-211-1-111-2-2-1-12-1-1-12-211-111-1-1110-2020000-2-20000i3i3−i3−i30022i3i3−i3−i3i3i3−i3−i30100110-100-1-10000000000−i3i30
χ4122-2-222222-2-22-2-22222-22-22-2-22-2-2-2-222-2-2-2-22222-22-222-2-2-2-2220000000000000000000000000000000000000000002-222-2-20000000
χ4222-2-222222-2-22-2-22222-22-22-2-22-2-2-2-222-2-2-2-22222-22-222-2-2-2-222000000000000000000000000000000000000000000-22-2-2220000000
χ4322-2-2222-12-2-22-2-2-12-1-1-22-2211-1-2-2-2-2221111-1-12-11-11-1-11111-1-1000000−i3i3−i3i300000000i3−i3i3−i30000000000−i3i3−i3i300i3−i3i3−i32-2-1-1110000000
χ4422-2-2222-12-2-22-2-2-12-1-1-22-2211-1-2-2-2-2221111-1-12-11-11-1-11111-1-1000000−i3i3i3−i300000000i3−i3−i3i30000000000−i3i3i3−i300i3−i3−i3i3-2211-1-10000000
χ4522-2-2222-12-2-22-2-2-12-1-1-22-2211-1-2-2-2-2221111-1-12-11-11-1-11111-1-1000000i3−i3−i3i300000000−i3i3i3−i30000000000i3−i3−i3i300−i3i3i3−i3-2211-1-10000000
χ4622-2-2222-12-2-22-2-2-12-1-1-22-2211-1-2-2-2-2221111-1-12-11-11-1-11111-1-1000000i3−i3i3−i300000000−i3i3−i3i30000000000i3−i3i3−i300−i3i3−i3i32-2-1-1110000000
χ47444444-2-2444-2-2-2-2-2-2144-2-2-2-2-2-2-2-2-2-2-2-2-211-21-21-2-211111111104040000-2-20000000000-2-2000000000-200110-200110000000000000
χ48444444-2-2444-2-2-2-2-2-2144-2-2-2-2-2-2-2-2-2-2-2-2-211-21-21-2-21111111110-40-4000022000000000022000000000200-1-10200-1-10000000000000
χ4944444-24-2-2-2-2444-2-21-2-2-244-2-2-2-2-2-2-2-2-211-2-21-2-2111-2-21111111404000-2-20000000000-2-20000000000-201100-2011000000000000000
χ5044444-24-2-2-2-2444-2-21-2-2-244-2-2-2-2-2-2-2-2-211-2-21-2-2111-2-21111111-40-400022000000000022000000000020-1-10020-1-1000000000000000
χ5144444-2-24-2-2-2-2-2-241-2-2-2-2-2-2444111111-2-2-2-2-2-211-2-2-2-211111110000440000-2-2-2-2-2-2-2-20000111111110000000000000000000000000
χ5244444-2-24-2-2-2-2-2-241-2-2-2-2-2-2444111111-2-2-2-2-2-211-2-2-2-211111110000-4-40000222222220000-1-1-1-1-1-1-1-10000000000000000000000000
χ53444-4-44-24444-2224-24-2-4-4-224-4-4-2-2222244224-2-2-2-4-4-22-2-2-222220000000000000000000000000000000000000000000000000000000
χ54444-4-44-2-2444-222-2-2-21-4-4-22-222-2-22222-2-2-1-1-21-21221-1111-1-1-1-100000000−2i32i30000000000−2i32i3000000000000i3−i30000i3−i30000000000000
χ55444-4-44-2-2444-222-2-2-21-4-4-22-222-2-22222-2-2-1-1-21-21221-1111-1-1-1-1000000002i3−2i300000000002i3−2i3000000000000−i3i30000−i3i30000000000000
χ56444-4-4-24-2-2-2-24-4-4-2-21-2224-4-222-2-2222211221-2-21-1-1-22111-1-1-1-140-4000-2-20000000000220000000000-20110020-1-1000000000000000
χ57444-4-4-24-2-2-2-24-4-4-2-21-2224-4-222-2-2222211221-2-21-1-1-22111-1-1-1-1-404000220000000000-2-2000000000020-1-100-2011000000000000000
χ58444-4-4-2-24-2-2-2-22241-2-222-224-4-411-1-1-1-1-2-222-2-21122-22111-1-1-1-10000000000−2i3−2i32i32i300000000i3i3i3i3−i3−i3−i3−i30000000000000000000000000
χ59444-4-4-2-24-2-2-2-22241-2-222-224-4-411-1-1-1-1-2-222-2-21122-22111-1-1-1-100000000002i32i3−2i3−2i300000000−i3−i3−i3−i3i3i3i3i30000000000000000000000000
χ6044-44-44-2-24-4-4-2-2-2-2-2-214-4222-2222-2-2222211-21-21-22-1-11-1-111-1-1040-40000-2-2000000000022000000000-200110200-1-10000000000000
χ6144-44-44-2-24-4-4-2-2-2-2-2-214-4222-2222-2-2222211-21-21-22-1-11-1-111-1-10-4040000220000000000-2-2000000000200-1-10-200110000000000000
χ6244-44-4-244-2224444-2-24-22-4-4-44-422-2-2222244-24-2-2-22-4-4-222-2-2220000000000000000000000000000000000000000000000000000000
χ6344-44-4-24-2-222444-2-21-2-22-4-42-2222-2-222-1-1-2-21-2-211-1221-1-111-1-1000000−2i32i30000000000−2i32i3000000000000i3−i30000i3−i3000000000000000
χ6444-44-4-24-2-222444-2-21-2-22-4-42-2222-2-222-1-1-2-21-2-211-1221-1-111-1-10000002i3−2i300000000002i3−2i3000000000000−i3i30000−i3i3000000000000000
χ6544-44-4-2-24-222-2-2-241-2-2-2222-44-4-1-111-1-122-2-2-2-211-22221-1-111-1-100000000000000−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i30000000000000000000000000
χ6644-44-4-2-24-222-2-2-241-2-2-2222-44-4-1-111-1-122-2-2-2-211-22221-1-111-1-1000000000000002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000000000
χ6744-4-444-244-4-4-2224-24-2-442-2-4-442222-2-2-4-4224-2-2-2-442-2-22222-2-20000000000000000000000000000000000000000000000000000000
χ6844-4-444-2-24-4-4-222-2-2-21-442-222-22222-2-222-1-1-21-212-2-111-1-1-1-11100000000−2i32i300000000002i3−2i3000000000000i3−i30000−i3i30000000000000
χ6944-4-444-2-24-4-4-222-2-2-21-442-222-22222-2-222-1-1-21-212-2-111-1-1-1-111000000002i3−2i30000000000−2i32i3000000000000−i3i30000i3−i30000000000000
χ7044-4-44-244-2224-4-44-2-242-2-44-4-442222-2-222-4-4-24-2-22-2-44-22222-2-20000000000000000000000000000000000000000000000000000000
χ7144-4-44-24-2-2224-4-4-2-21-22-2-4422-22222-2-2-1-1221-2-21-112-21-1-1-1-111000000−2i32i300000000002i3−2i3000000000000i3−i30000−i3i3000000000000000
χ7244-4-44-24-2-2224-4-4-2-21-22-2-4422-22222-2-2-1-1221-2-21-112-21-1-1-1-1110000002i3−2i30000000000−2i32i3000000000000−i3i30000i3−i3000000000000000
χ7344-4-44-2-24-222-22241-2-22-22-2-4-44-1-1-1-1112222-2-2112-22-21-1-1-1-111000000000000000000000033-3-3-3-3330000000000000000000000000
χ7444-4-44-2-24-222-22241-2-22-22-2-4-44-1-1-1-1112222-2-2112-22-21-1-1-1-1110000000000000000000000-3-33333-3-30000000000000000000000000
χ754-4000444-400-400-444400000000000000000-4-4-440000-400000000002i−2i00002i−2i2i−2i2i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000000000000
χ764-4000444-400-400-444400000000000000000-4-4-440000-40000000000−2i2i0000−2i2i−2i2i−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000
χ774-40004-24-4002−2i32i3-4-24-2000000000−2i32i30000−2i32i3-422-20000200−2i32i30000002i−2i00002i−2i2i−2i2ζ7−2ζ72ζ11−2ζ1100002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000000
χ784-40004-24-4002−2i32i3-4-24-2000000000−2i32i30000−2i32i3-422-20000200−2i32i3000000−2i2i0000−2i2i−2i2i−2ζ72ζ7−2ζ112ζ110000−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000000
χ794-40004-24-40022i3−2i3-4-24-20000000002i3−2i300002i3−2i3-422-200002002i3−2i30000002i−2i00002i−2i2i−2i2ζ11−2ζ112ζ7−2ζ700002ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000000
χ804-40004-24-40022i3−2i3-4-24-20000000002i3−2i300002i3−2i3-422-200002002i3−2i3000000−2i2i0000−2i2i−2i2i−2ζ112ζ11−2ζ72ζ70000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000000
χ814-4000-2442−2i32i3-400-4-2-240000000−2i32i30000−2i32i3002-42-200002−2i32i3000000002i−2i00002ζ7−2ζ72ζ11−2ζ112i−2i2i−2i00002ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000000
χ824-4000-2442−2i32i3-400-4-2-240000000−2i32i30000−2i32i3002-42-200002−2i32i300000000−2i2i0000−2ζ72ζ7−2ζ112ζ11−2i2i−2i2i0000−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000000
χ834-4000-24422i3−2i3-400-4-2-2400000002i3−2i300002i3−2i3002-42-2000022i3−2i3000000002i−2i00002ζ11−2ζ112ζ7−2ζ72i−2i2i−2i00002ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000000
χ844-4000-24422i3−2i3-400-4-2-2400000002i3−2i300002i3−2i3002-42-2000022i3−2i300000000−2i2i0000−2ζ112ζ11−2ζ72ζ7−2i2i−2i2i0000−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000000
χ854-4000-2-242−2i32i32−2i32i3-41-2-20000000i3−i3i3−i33-3−2i32i3−2i32i322-110000-1i3−i3i3−i33-300002i−2i00002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000−3ζ7−ζ113ζ7+ζ11−ii−ii−ζ7−3ζ11ζ7+3ζ110000000000000000000000000
χ864-4000-2-242−2i32i32−2i32i3-41-2-20000000i3−i3i3−i33-3−2i32i3−2i32i322-110000-1i3−i3i3−i33-30000−2i2i0000−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ1100003ζ7+ζ11−3ζ7−ζ11i−ii−iζ7+3ζ11−ζ7−3ζ110000000000000000000000000
χ874-4000-2-242−2i32i322i3−2i3-41-2-20000000i3−i3−i3i3-33−2i32i32i3−2i322-110000-1i3−i3−i3i3-3300002i−2i00002ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112ζ7−2ζ70000−ii−3ζ7−ζ113ζ7+ζ11−ζ7−3ζ11ζ7+3ζ11−ii0000000000000000000000000
χ884-4000-2-242−2i32i322i3−2i3-41-2-20000000i3−i3−i3i3-33−2i32i32i3−2i322-110000-1i3−i3−i3i3-330000−2i2i0000−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2ζ72ζ70000i−i3ζ7+ζ11−3ζ7−ζ11ζ7+3ζ11−ζ7−3ζ11i−i0000000000000000000000000
χ894-4000-2-2422i3−2i32−2i32i3-41-2-20000000−i3i3i3−i3-332i3−2i3−2i32i322-110000-1−i3i3i3−i3-3300002i−2i00002ζ11−2ζ112ζ7−2ζ72ζ7−2ζ72ζ11−2ζ110000−ii−ζ7−3ζ11ζ7+3ζ11−3ζ7−ζ113ζ7+ζ11−ii0000000000000000000000000
χ904-4000-2-2422i3−2i32−2i32i3-41-2-20000000−i3i3i3−i3-332i3−2i3−2i32i322-110000-1−i3i3i3−i3-330000−2i2i0000−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7−2ζ112ζ110000i−iζ7+3ζ11−ζ7−3ζ113ζ7+ζ11−3ζ7−ζ11i−i0000000000000000000000000
χ914-4000-2-2422i3−2i322i3−2i3-41-2-20000000−i3i3−i3i33-32i3−2i32i3−2i322-110000-1−i3i3−i3i33-300002i−2i00002ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000−ζ7−3ζ11ζ7+3ζ11−ii−ii−3ζ7−ζ113ζ7+ζ110000000000000000000000000
χ924-4000-2-2422i3−2i322i3−2i3-41-2-20000000−i3i3−i3i33-32i3−2i32i3−2i322-110000-1−i3i3−i3i33-30000−2i2i0000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000ζ7+3ζ11−ζ7−3ζ11i−ii−i3ζ7+ζ11−3ζ7−ζ110000000000000000000000000
χ9388888-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4-42222222222222-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ94888-8-8-4-4-4-4-4-4-444-422244-44-44422-2-2-2-222-2-2222-1-2-22-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9588-88-8-4-4-4-444-4-4-4-4222-44444-44-2-222-2-2-2-222222-12-2-2-2-111-1-1110000000000000000000000000000000000000000000000000000000
χ9688-8-88-4-4-4-444-444-42224-44-444-4-2-2-2-222-2-2-2-2222-1-22-22-11111-1-10000000000000000000000000000000000000000000000000000000
χ978-800088-4-800-80048-4-40000000000000000044-8-4000040000000000000000000000000000000000000000000000000000000000000
χ988-80008-4-4-8004−4i34i34-4-42000000000−4i34i300002i3−2i34-2420000-2002i3−2i3000000000000000000000000000000000000000000000000000000000
χ998-80008-4-4-80044i3−4i34-4-420000000004i3−4i30000−2i32i34-2420000-200−2i32i3000000000000000000000000000000000000000000000000000000000
χ1008-8000-48-44−4i34i3-8004-42-40000000−4i34i300002i3−2i300-24420000-22i3−2i300000000000000000000000000000000000000000000000000000000000
χ1018-8000-48-444i3−4i3-8004-42-400000004i3−4i30000−2i32i300-24420000-2−2i32i300000000000000000000000000000000000000000000000000000000000
χ1028-8000-4-4-44−4i34i34−4i34i3422200000002i3−2i32i3−2i36-62i3−2i32i3−2i3-2-2-2-100001−i3i3−i3i3-330000000000000000000000000000000000000000000000000000000
χ1038-8000-4-4-44−4i34i344i3−4i3422200000002i3−2i3−2i32i3-662i3−2i3−2i32i3-2-2-2-100001−i3i3i3−i33-30000000000000000000000000000000000000000000000000000000
χ1048-8000-4-4-444i3−4i34−4i34i342220000000−2i32i32i3−2i3-66−2i32i32i3−2i3-2-2-2-100001i3−i3−i3i33-30000000000000000000000000000000000000000000000000000000
χ1058-8000-4-4-444i3−4i344i3−4i342220000000−2i32i3−2i32i36-6−2i32i3−2i32i3-2-2-2-100001i3−i3i3−i3-330000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.