Finite Group Databasebeta

← Group #13147185

Character table — Group #13147185

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size111122222222226666666666121212121212121212121212121212121212121212121212121818181824242424242424242424242424242424242424247272727272727272108108
order1222344666121212124491818183636363623366666666121218181818181836363636363622449912121212181818181818363636363636363666661212121244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ41111111111111111111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ51111111111111111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ61111111111111111111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ711111-1-1111-1-1-1-1111111-1-1-1-1-111-1-111111111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11
χ811111-1-1111-1-1-1-1111111-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ911111-1-1111-1-1-1-1111111-1-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-111111111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11
χ1011111-1-1111-1-1-1-1111111-1-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1111111-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ1111111-1-1111-1-1-1-1111111-1-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-111111111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11
χ1211111-1-1111-1-1-1-1111111-1-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1111111-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ132222222222222222-1-1-1-1-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-10000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ142222222222222222-1-1-1-1-1-1-1-12−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-1-1-1-1-1-1-1-1-1-1-1-100001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i320000000000
χ152222222222222222-1-1-1-1-1-1-1-12−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-1-1-1-1-1-1-1-1-1-1-1-100001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i320000000000
χ1622222-2-2222-2-2-2-222-1-1-1-11111-222-2-222222222111111-1-1-1-1-1-10000-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000
χ1722222-2-2222-2-2-2-222-1-1-1-11111-2−1−i3−1+i3-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322111111-1-1-1-1-1-100001+i321−i321+i31+i31−i31−i31+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000
χ1822222-2-2222-2-2-2-222-1-1-1-11111-2−1+i3−1−i3-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322111111-1-1-1-1-1-100001−i321+i321−i31−i31+i31+i31−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000
χ192-22-222i−2i2-2-22i2i−2i−2i0022-2-22i2i−2i−2i0-1-100-1-11111000000000000002-22i−2i-1-1i−ii−i1-11-111ii−i−iii−i−i1-11-1i−ii−i00
χ202-22-222i−2i2-2-22i2i−2i−2i0022-2-22i2i−2i−2i0-1-100-1-1111100000000000000-22−2i2i-1-1i−ii−i1-11-111ii−i−iii−i−i-11-11−ii−ii00
χ212-22-222i−2i2-2-22i2i−2i−2i0022-2-22i2i−2i−2i01+i321−i32001+i321−i32−1−i32−1+i32−1−i32−1+i32000000000000002-22i−2i1+i321−i32−ζ15ζ15−ζ3ζ3−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ15−ζ15ζ15ζ15−ζ3−ζ3ζ3ζ3−1−i321+i32−1+i321−i32−ζ15ζ15−ζ3ζ300
χ222-22-222i−2i2-2-22i2i−2i−2i0022-2-22i2i−2i−2i01+i321−i32001+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000-22−2i2i1+i321−i32−ζ15ζ15−ζ3ζ3−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ15−ζ15ζ15ζ15−ζ3−ζ3ζ3ζ31+i32−1−i321−i32−1+i32ζ15−ζ15ζ3−ζ300
χ232-22-222i−2i2-2-22i2i−2i−2i0022-2-22i2i−2i−2i01−i321+i32001−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000002-22i−2i1−i321+i32−ζ3ζ3−ζ15ζ15−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ3−ζ3ζ3ζ3−ζ15−ζ15ζ15ζ15−1+i321−i32−1−i321+i32−ζ3ζ3−ζ15ζ1500
χ242-22-222i−2i2-2-22i2i−2i−2i0022-2-22i2i−2i−2i01−i321+i32001−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000-22−2i2i1−i321+i32−ζ3ζ3−ζ15ζ15−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ3−ζ3ζ3ζ3−ζ15−ζ15ζ15ζ151−i32−1+i321+i32−1−i32ζ3−ζ3ζ15−ζ1500
χ252-22-22−2i2i2-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0-1-100-1-11111000000000000002-2−2i2i-1-1−ii−ii1-11-111−i−iii−i−iii1-11-1−ii−ii00
χ262-22-22−2i2i2-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i0-1-100-1-1111100000000000000-222i−2i-1-1−ii−ii1-11-111−i−iii−i−iii-11-11i−ii−i00
χ272-22-22−2i2i2-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i01+i321−i32001+i321−i32−1−i32−1+i32−1−i32−1+i32000000000000002-2−2i2i1+i321−i32ζ15−ζ15ζ3−ζ3−1−i321+i32−1+i321−i32−1−i32−1+i32ζ15ζ15−ζ15−ζ15ζ3ζ3−ζ3−ζ3−1−i321+i32−1+i321−i32ζ15−ζ15ζ3−ζ300
χ282-22-22−2i2i2-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i01+i321−i32001+i321−i32−1−i32−1+i32−1−i32−1+i3200000000000000-222i−2i1+i321−i32ζ15−ζ15ζ3−ζ3−1−i321+i32−1+i321−i32−1−i32−1+i32ζ15ζ15−ζ15−ζ15ζ3ζ3−ζ3−ζ31+i32−1−i321−i32−1+i32−ζ15ζ15−ζ3ζ300
χ292-22-22−2i2i2-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i01−i321+i32001−i321+i32−1+i32−1−i32−1+i32−1−i32000000000000002-2−2i2i1−i321+i32ζ3−ζ3ζ15−ζ15−1+i321−i32−1−i321+i32−1+i32−1−i32ζ3ζ3−ζ3−ζ3ζ15ζ15−ζ15−ζ15−1+i321−i32−1−i321+i32ζ3−ζ3ζ15−ζ1500
χ302-22-22−2i2i2-2-2−2i−2i2i2i0022-2-2−2i−2i2i2i01−i321+i32001−i321+i32−1+i32−1−i32−1+i32−1−i3200000000000000-222i−2i1−i321+i32ζ3−ζ3ζ15−ζ15−1+i321−i32−1−i321+i32−1+i32−1−i32ζ3ζ3−ζ3−ζ3ζ15ζ15−ζ15−ζ151−i32−1+i321+i32−1−i32−ζ3ζ3−ζ15ζ1500
χ312-2-22200-2-2200002-22-2-22000002200-2-222-2-22-2000000222-2-2-20000220000-2-2-2-222000000000000000000
χ322-2-22200-2-2200002-22-2-2200000−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i32-2000000222-2-2-20000−1−i3−1+i300001+i31+i31−i31−i3−1−i3−1+i3000000000000000000
χ332-2-22200-2-2200002-22-2-2200000−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i32-2000000222-2-2-20000−1+i3−1−i300001−i31−i31+i31+i3−1+i3−1−i3000000000000000000
χ342-2-22200-2-2200002-2-111-1−i3i3−i3i302200-2-222-2-22-2−i3−i3−i3i3i3i3-1-1-11110000-1-100001111-1-1−i3i3−i3i3−i3i3−i3i30000000000
χ352-2-22200-2-2200002-2-111-1−i3i3−i3i30−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i32-2−i3−i3−i3i3i3i3-1-1-111100001+i321−i320000−1−i32−1−i32−1+i32−1+i321+i321−i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i320000000000
χ362-2-22200-2-2200002-2-111-1−i3i3−i3i30−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i32-2−i3−i3−i3i3i3i3-1-1-111100001−i321+i320000−1+i32−1+i32−1−i32−1−i321−i321+i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i320000000000
χ372-2-22200-2-2200002-2-111-1i3−i3i3−i302200-2-222-2-22-2i3i3i3−i3−i3−i3-1-1-11110000-1-100001111-1-1i3−i3i3−i3i3−i3i3−i30000000000
χ382-2-22200-2-2200002-2-111-1i3−i3i3−i30−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i32-2i3i3i3−i3−i3−i3-1-1-111100001+i321−i320000−1−i32−1−i32−1+i32−1+i321+i321−i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i320000000000
χ392-2-22200-2-2200002-2-111-1i3−i3i3−i30−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i32-2i3i3i3−i3−i3−i3-1-1-111100001−i321+i320000−1+i32−1+i32−1−i32−1−i321−i321+i32−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i320000000000
χ4033333333333333-1-133333333-100-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-133330000000000000000000000000000-1-1
χ4133333333333333-1-133333333-100-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3000000000000000000000000000011
χ4233333-3-3333-3-3-3-3-1-13333-3-3-3-310011000000-1-1111111-1-1-1-1-1-133-3-300000000000000000000000000001-1
χ4333333-3-3333-3-3-3-3-1-13333-3-3-3-310011000000-1-1111111-1-1-1-1-1-1-3-3330000000000000000000000000000-11
χ4444-4-4400-44-40000004-44-400000-2-2002222-2-2000000000000000000-2-20000-22-2222000000000000000000
χ4544-4-4400-44-40000004-44-4000001+i31−i300−1−i3−1+i3−1−i3−1+i31+i31−i30000000000000000001+i31−i300001+i3−1−i31−i3−1+i3−1−i3−1+i3000000000000000000
χ4644-4-4400-44-40000004-44-4000001−i31+i300−1+i3−1−i3−1+i3−1−i31−i31+i30000000000000000001−i31+i300001−i3−1+i31+i3−1−i3−1+i3−1−i3000000000000000000
χ4744-4-4400-44-4000000-22-2223−23−23230-2-2002222-2-20000000000000000001100001-11-1-1-13−3−333−3−330000000000
χ4844-4-4400-44-4000000-22-2223−23−232301+i31−i300−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000000000−1−i32−1+i320000−1−i321+i32−1+i321−i321+i321−i32−2ζ3−ζ152ζ3+ζ152ζ3+ζ15−2ζ3−ζ15ζ3+2ζ15−ζ3−2ζ15−ζ3−2ζ15ζ3+2ζ150000000000
χ4944-4-4400-44-4000000-22-2223−23−232301−i31+i300−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000000−1+i32−1−i320000−1+i321−i32−1−i321+i321−i321+i32ζ3+2ζ15−ζ3−2ζ15−ζ3−2ζ15ζ3+2ζ15−2ζ3−ζ152ζ3+ζ152ζ3+ζ15−2ζ3−ζ150000000000
χ5044-4-4400-44-4000000-22-22−232323−230-2-2002222-2-20000000000000000001100001-11-1-1-1−333−3−333−30000000000
χ5144-4-4400-44-4000000-22-22−232323−2301+i31−i300−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000000000−1−i32−1+i320000−1−i321+i32−1+i321−i321+i321−i322ζ3+ζ15−2ζ3−ζ15−2ζ3−ζ152ζ3+ζ15−ζ3−2ζ15ζ3+2ζ15ζ3+2ζ15−ζ3−2ζ150000000000
χ5244-4-4400-44-4000000-22-22−232323−2301−i31+i300−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000000−1+i32−1−i320000−1+i321−i32−1−i321+i321−i321+i32−ζ3−2ζ15ζ3+2ζ15ζ3+2ζ15−ζ3−2ζ152ζ3+ζ15−2ζ3−ζ15−2ζ3−ζ152ζ3+ζ150000000000
χ534-44-444i−4i4-4-44i4i−4i−4i00-2-222−2i−2i2i2i0-2-200-2-22222000000000000000000112i−2i2i−2i-11-11-1-1−i−iii−i−iii0000000000
χ544-44-444i−4i4-4-44i4i−4i−4i00-2-222−2i−2i2i2i01+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000000−1−i32−1+i32−2ζ152ζ15−2ζ32ζ31+i32−1−i321−i32−1+i321+i321−i32ζ15ζ15−ζ15−ζ15ζ3ζ3−ζ3−ζ30000000000
χ554-44-444i−4i4-4-44i4i−4i−4i00-2-222−2i−2i2i2i01−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000000−1+i32−1−i32−2ζ32ζ3−2ζ152ζ151−i32−1+i321+i32−1−i321−i321+i32ζ3ζ3−ζ3−ζ3ζ15ζ15−ζ15−ζ150000000000
χ564-44-44−4i4i4-4-4−4i−4i4i4i00-2-2222i2i−2i−2i0-2-200-2-2222200000000000000000011−2i2i−2i2i-11-11-1-1ii−i−iii−i−i0000000000
χ574-44-44−4i4i4-4-4−4i−4i4i4i00-2-2222i2i−2i−2i01+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000000−1−i32−1+i322ζ15−2ζ152ζ3−2ζ31+i32−1−i321−i32−1+i321+i321−i32−ζ15−ζ15ζ15ζ15−ζ3−ζ3ζ3ζ30000000000
χ584-44-44−4i4i4-4-4−4i−4i4i4i00-2-2222i2i−2i−2i01−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000000−1+i32−1−i322ζ3−2ζ32ζ15−2ζ151−i32−1+i321+i32−1−i321−i321+i32−ζ3−ζ3ζ3ζ3−ζ15−ζ15ζ15ζ150000000000
χ5966666666666666-2-2-3-3-3-3-3-3-3-3-200-2-2000000-2-21111111111110000000000000000000000000000000000
χ6066666-6-6666-6-6-6-6-2-2-3-3-3-3333320022000000-2-2-1-1-1-1-1-11111110000000000000000000000000000000000
χ616666-366-3-3-3-3-3-3-36600000000600-3-3000000-3-30000000000000000000000000000000000000000000000
χ626666-366-3-3-3-3-3-3-3-2-200000000-20011000000112ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340000000000000000000000000000000000
χ636666-366-3-3-3-3-3-3-3-2-200000000-2001100000011−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340000000000000000000000000000000000
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χ656666-3-6-6-3-3-333336600000000-60033000000-3-30000000000000000000000000000000000000000000000
χ666666-3-6-6-3-3-33333-2-200000000200-1-100000011−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340000000000000000000000000000000000
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χ686666-3-6-6-3-3-33333-2-200000000200-1-1000000112ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340000000000000000000000000000000000
χ696-6-66600-6-660000-226-6-66000000000000000-22000000-2-2-22220000000000000000000000000000000000
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χ716-6-66600-6-660000-22-333-33i3−3i33i3−3i300000000000-22−i3−i3−i3i3i3i3111-1-1-10000000000000000000000000000000000
χ726-6-66-30033-3−3i33i3−3i33i36-600000000000−3i33i3000000-330000000000000000000000000000000000000000000000
χ736-6-66-30033-3−3i33i3−3i33i3-2200000000000i3−i30000001-1−2ζ22−2ζ26−2ζ34−2ζ14+2ζ222ζ14+2ζ26+2ζ342ζ22+2ζ26+2ζ342ζ14−2ζ22−2ζ14−2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ340000000000000000000000000000000000
χ746-6-66-30033-3−3i33i3−3i33i3-2200000000000i3−i30000001-1−2ζ14+2ζ222ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ342ζ14−2ζ22−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ340000000000000000000000000000000000
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χ766-6-66-30033-33i3−3i33i3−3i36-6000000000003i3−3i3000000-330000000000000000000000000000000000000000000000
χ776-6-66-30033-33i3−3i33i3−3i3-2200000000000−i3i30000001-12ζ22+2ζ26+2ζ342ζ14−2ζ22−2ζ14−2ζ26−2ζ34−2ζ22−2ζ26−2ζ34−2ζ14+2ζ222ζ14+2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ340000000000000000000000000000000000
χ786-6-66-30033-33i3−3i33i3−3i3-2200000000000−i3i30000001-1−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ342ζ14−2ζ222ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ34−2ζ14+2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ220000000000000000000000000000000000
χ796-6-66-30033-33i3−3i33i3−3i3-2200000000000−i3i30000001-12ζ14−2ζ22−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ34−2ζ14+2ζ222ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ340000000000000000000000000000000000
χ801212-12-12-6006-6663−63−6363000000000000000000000000000000000000000000000000000000000000000000000
χ811212-12-12-6006-66−636363−63000000000000000000000000000000000000000000000000000000000000000000000
χ8212-1212-12-612i−12i-666−6i−6i6i6i000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-6−12i12i-6666i6i−6i−6i000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.