Finite Group Databasebeta

← Group #63992

Character table — Group #63992

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222222222221212121211112222222222222222222222121212121111222222222222222222222212121212
order12223444444666121212121212121212121212444436663121212121212666121212121212121212121212121212123666312121212121266612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1
χ41111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ511111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-111111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-111111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1
χ611111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-1111111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-1111111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11
χ711111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11
χ811111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1
χ92222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ102222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-11111111100002222-122-2-2-2-2-1-1-1-1-1-1-1111111110000
χ112222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-1111100002222-1-2-222-2-2-1-1-11111-1-1-1-111110000
χ122222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-100002222-1-2-2-2-222-1-1-111111111-1-1-1-10000
χ1322-2-22002-2002-2-2000022-2-20000000022-2-22002-2002-2-2000022-2-20000000022-2-22002-2002-2-2000022-2-200000000
χ1422-2-2200-22002-2-20000-2-2220000000022-2-2200-22002-2-20000-2-2220000000022-2-2200-22002-2-20000-2-22200000000
χ1522-2-2-1002-200-11133−3−3-1-11133−3−3000022-2-2-1002-200-11133−3−3-1-11133−3−3000022-2-2-1002-200-11133−3−3-1-11133−3−30000
χ1622-2-2-1002-200-111−3−333-1-111−3−333000022-2-2-1002-200-111−3−333-1-111−3−333000022-2-2-1002-200-111−3−333-1-111−3−3330000
χ1722-2-2-100-2200-11133−3−311-1-1−3−333000022-2-2-100-2200-11133−3−311-1-1−3−333000022-2-2-100-2200-11133−3−311-1-1−3−3330000
χ1822-2-2-100-2200-111−3−33311-1-133−3−3000022-2-2-100-2200-111−3−33311-1-133−3−3000022-2-2-100-2200-111−3−33311-1-133−3−30000
χ192-22-222-20000-22-22-22-20000000000002-22-222-20000-22-22-22-20000000000002-22-222-20000-22-22-22-2000000000000
χ202-22-22-220000-22-2-22-220000000000002-22-22-220000-22-2-22-220000000000002-22-22-220000-22-2-22-22000000000000
χ212-22-2-12-200001-11-11-113−33−33−33−300002-22-2-12-200001-11-11-113−33−33−33−300002-22-2-12-200001-11-11-113−33−33−33−30000
χ222-22-2-12-200001-11-11-11−33−33−33−3300002-22-2-12-200001-11-11-11−33−33−33−3300002-22-2-12-200001-11-11-11−33−33−33−330000
χ232-22-2-1-2200001-111-11-13−33−3−33−3300002-22-2-1-2200001-111-11-13−33−3−33−3300002-22-2-1-2200001-111-11-13−33−3−33−330000
χ242-22-2-1-2200001-111-11-1−33−333−33−300002-22-2-1-2200001-111-11-1−33−333−33−300002-22-2-1-2200001-111-11-1−33−333−33−30000
χ252-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-2200002-2-22200002-2-2-22000000002-2-220000
χ262-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-200002-2-2220000-22-2-2200000000-222-20000
χ272-2-22-100002-211-13−3−33−333−3-111-100002-2-22-100002-211-13−3−33−333−3-111-100002-2-22-100002-211-13−3−33−333−3-111-10000
χ282-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-100002-2-22-100002-211-1−333−33−3−33-111-10000
χ292-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-1100002-2-22-10000-2211-13−3−333−3−331-1-110000
χ302-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-1100002-2-22-10000-2211-1−333−3−333−31-1-110000
χ31111111111111111111111111111111−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111111111111111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32
χ331111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ341111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3511111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ3611111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ3711111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i321+i321+i32−1−i32
χ3811111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i321+i32
χ392222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000
χ402222-122-2-2-2-2-1-1-1-1-1-1-1111111110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ412222-1-2-222-2-2-1-1-11111-1-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ422222-1-2-2-2-222-1-1-111111111-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ4322-2-22002-2002-2-2000022-2-200000000−1+i3−1+i31−i31−i3−1+i300−1+i31−i300−1+i31−i31−i30000−1+i3−1+i31−i31−i300000000−1−i3−1−i31+i31+i3−1−i300−1−i31+i300−1−i31+i31+i30000−1−i3−1−i31+i31+i300000000
χ4422-2-2200-22002-2-20000-2-22200000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i300−1+i31−i31−i300001−i31−i3−1+i3−1+i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i300−1−i31+i31+i300001+i31+i3−1−i3−1−i300000000
χ4522-2-2-1002-200-11133−3−3-1-11133−3−30000−1+i3−1+i31−i31−i31−i3200−1+i31−i3001−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i321−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i31+i3001+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i321+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ4622-2-2-1002-200-111−3−333-1-111−3−3330000−1+i3−1+i31−i31−i31−i3200−1+i31−i3001−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i321−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i31+i3001+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i321+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ4722-2-2-100-2200-11133−3−311-1-1−3−3330000−1+i3−1+i31−i31−i31−i32001−i3−1+i3001−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i32−1+i321−i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i32001+i3−1−i3001+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i32−1−i321+i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000
χ4822-2-2-100-2200-111−3−33311-1-133−3−30000−1+i3−1+i31−i31−i31−i32001−i3−1+i3001−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i32−1+i321−i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i32001+i3−1−i3001+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i32−1−i321+i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000
χ492-22-222-20000-22-22-22-2000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i300001−i3−1+i31−i3−1+i31−i3−1+i31−i3000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i300001+i3−1−i31+i3−1−i31+i3−1−i31+i3000000000000
χ502-22-22-220000-22-2-22-22000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i300001−i3−1+i31−i31−i3−1+i31−i3−1+i3000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i300001+i3−1−i31+i31+i3−1−i31+i3−1−i3000000000000
χ512-22-2-12-200001-11-11-113−33−33−33−30000−1+i31−i3−1+i31−i31−i32−1+i31−i30000−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i31+i3−1−i31+i31+i32−1−i31+i30000−1−i321+i32−1−i321+i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
χ522-22-2-12-200001-11-11-11−33−33−33−330000−1+i31−i3−1+i31−i31−i32−1+i31−i30000−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i3−1−i31+i31+i32−1−i31+i30000−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000
χ532-22-2-1-2200001-111-11-13−33−3−33−330000−1+i31−i3−1+i31−i31−i321−i3−1+i30000−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i3−1−i31+i31+i321+i3−1−i30000−1−i321+i32−1−i32−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000
χ542-22-2-1-2200001-111-11-1−33−333−33−30000−1+i31−i3−1+i31−i31−i321−i3−1+i30000−1+i321−i32−1+i32−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i31+i3−1−i31+i31+i321+i3−1−i30000−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
χ552-2-22200002-2-2-22000000002-2-220000−1+i31−i31−i3−1+i3−1+i30000−1+i31−i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i30000−1−i31+i31+i3−1−i3−1−i30000−1−i31+i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i30000
χ562-2-2220000-22-2-2200000000-222-20000−1+i31−i31−i3−1+i3−1+i300001−i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i30000−1−i31+i31+i3−1−i3−1−i300001+i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i30000
χ572-2-22-100002-211-13−3−33−333−3-111-10000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i32−1+i321−i320000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i32−1−i321+i320000
χ582-2-22-100002-211-1−333−33−3−33-111-10000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i32−1+i321−i320000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i32−1−i321+i320000
χ592-2-22-10000-2211-13−3−333−3−331-1-110000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i321−i32−1+i320000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i321+i32−1−i320000
χ602-2-22-10000-2211-1−333−3−333−31-1-110000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i321−i32−1+i320000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i321+i32−1−i320000
χ61111111111111111111111111111111−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111111111111111-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32
χ631111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ641111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6511111-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ6611111-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32
χ6711111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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+i32−1+i321−i321−i32−1+i32
χ6811111-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1+i32−1+i321−i32
χ692222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000
χ702222-122-2-2-2-2-1-1-1-1-1-1-1111111110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
χ712222-1-2-222-2-2-1-1-11111-1-1-1-111110000−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ722222-1-2-2-2-222-1-1-111111111-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ7322-2-22002-2002-2-2000022-2-200000000−1−i3−1−i31+i31+i3−1−i300−1−i31+i300−1−i31+i31+i30000−1−i3−1−i31+i31+i300000000−1+i3−1+i31−i31−i3−1+i300−1+i31−i300−1+i31−i31−i30000−1+i3−1+i31−i31−i300000000
χ7422-2-2200-22002-2-20000-2-22200000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i300−1−i31+i31+i300001+i31+i3−1−i3−1−i300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i300−1+i31−i31−i300001−i31−i3−1+i3−1+i300000000
χ7522-2-2-1002-200-11133−3−3-1-11133−3−30000−1−i3−1−i31+i31+i31+i3200−1−i31+i3001+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i321+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i3200−1+i31−i3001−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i321−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
χ7622-2-2-1002-200-111−3−333-1-111−3−3330000−1−i3−1−i31+i31+i31+i3200−1−i31+i3001+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i321+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000−1+i3−1+i31−i31−i31−i3200−1+i31−i3001−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i321−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000
χ7722-2-2-100-2200-11133−3−311-1-1−3−3330000−1−i3−1−i31+i31+i31+i32001+i3−1−i3001+i32−1−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1−i32−1−i321+i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000−1+i3−1+i31−i31−i31−i32001−i3−1+i3001−i32−1+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1+i32−1+i321−i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ110000
χ7822-2-2-100-2200-111−3−33311-1-133−3−30000−1−i3−1−i31+i31+i31+i32001+i3−1−i3001+i32−1−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−1−i32−1−i321+i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i32001−i3−1+i3001−i32−1+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−1+i32−1+i321−i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ110000
χ792-22-222-20000-22-22-22-2000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i300001+i3−1−i31+i3−1−i31+i3−1−i31+i3000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i300001−i3−1+i31−i3−1+i31−i3−1+i31−i3000000000000
χ802-22-22-220000-22-2-22-22000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i300001+i3−1−i31+i31+i3−1−i31+i3−1−i3000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i300001−i3−1+i31−i31−i3−1+i31−i3−1+i3000000000000
χ812-22-2-12-200001-11-11-113−33−33−33−30000−1−i31+i3−1−i31+i31+i32−1−i31+i30000−1−i321+i32−1−i321+i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i3−1+i31−i31−i32−1+i31−i30000−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ822-22-2-12-200001-11-11-11−33−33−33−330000−1−i31+i3−1−i31+i31+i32−1−i31+i30000−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i3−1+i31−i31−i32−1+i31−i30000−1+i321−i32−1+i321−i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ832-22-2-1-2200001-111-11-13−33−3−33−330000−1−i31+i3−1−i31+i31+i321+i3−1−i30000−1−i321+i32−1−i32−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i3−1+i31−i31−i321−i3−1+i30000−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ842-22-2-1-2200001-111-11-1−33−333−33−30000−1−i31+i3−1−i31+i31+i321+i3−1−i30000−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i3−1+i31−i31−i321−i3−1+i30000−1+i321−i32−1+i32−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ852-2-22200002-2-2-22000000002-2-220000−1−i31+i31+i3−1−i3−1−i30000−1−i31+i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i30000−1+i31−i31−i3−1+i3−1+i30000−1+i31−i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i30000
χ862-2-2220000-22-2-2200000000-222-20000−1−i31+i31+i3−1−i3−1−i300001+i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i30000−1+i31−i31−i3−1+i3−1+i300001−i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i30000
χ872-2-22-100002-211-13−3−33−333−3-111-10000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ111+i32−1−i32−1−i321+i320000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ111−i32−1+i32−1+i321−i320000
χ882-2-22-100002-211-1−333−33−3−33-111-10000−1−i31+i31+i3−1−i31+i320000−1−i31+i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ111+i32−1−i32−1−i321+i320000−1+i31−i31−i3−1+i31−i320000−1+i31−i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ111−i32−1+i32−1+i321−i320000
χ892-2-22-10000-2211-13−3−333−3−331-1-110000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−1−i321+i321+i32−1−i320000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−1+i321−i321−i32−1+i320000
χ902-2-22-10000-2211-1−333−3−333−31-1-110000−1−i31+i31+i3−1−i31+i3200001+i3−1−i3−1−i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−1−i321+i321+i32−1−i320000−1+i31−i31−i3−1+i31−i3200001−i3−1+i3−1+i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−1+i321−i321−i32−1+i320000

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