Finite Group Databasebeta

← Group #64053

Character table — Group #64053

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222222222221212121211112222222222222222222222121212121111222222222222222222222212121212
order122222344446666666121212121212121222443666663121212126666666121212121212121266121236666631212121266666661212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1
χ41111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-11
χ51111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1
χ61111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111
χ71111-1-11-1-11111-1-1-1-11-1-1-1-111111-1-111111-1-11-1-11111-1-1-1-11-1-1-1-111111-1-111111-1-11-1-11111-1-1-1-11-1-1-1-111111-1-11
χ81111-1-11-1-11111-1-1-1-11-1-1-1-11111-111-11111-1-11-1-11111-1-1-1-11-1-1-1-11111-111-11111-1-11-1-11111-1-1-1-11-1-1-1-11111-111-1
χ9222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ10222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000
χ112222-2-2-122-2-2-1-11111-1-1-1-1-1111100002222-2-2-122-2-2-1-11111-1-1-1-1-1111100002222-2-2-122-2-2-1-11111-1-1-1-1-111110000
χ122222-2-2-1-2-222-1-11111-11111-1-1-1-100002222-2-2-1-2-222-1-11111-11111-1-1-1-100002222-2-2-1-2-222-1-11111-11111-1-1-1-10000
χ1322-2-2002002i−2i2-20000-200002i2i−2i−2i000022-2-2002002i−2i2-20000-200002i2i−2i−2i000022-2-2002002i−2i2-20000-200002i2i−2i−2i0000
χ1422-2-200200−2i2i2-20000-20000−2i−2i2i2i000022-2-200200−2i2i2-20000-20000−2i−2i2i2i000022-2-200200−2i2i2-20000-20000−2i−2i2i2i0000
χ1522-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii000022-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii000022-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii0000
χ1622-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii000022-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii000022-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii0000
χ1722-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i000022-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i000022-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i0000
χ1822-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i000022-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i000022-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i0000
χ192-22-20022-200-2-2000022-22-2000000002-22-20022-200-2-2000022-22-2000000002-22-20022-200-2-2000022-22-200000000
χ202-22-2002-2200-2-200002-22-22000000002-22-2002-2200-2-200002-22-22000000002-22-2002-2200-2-200002-22-2200000000
χ212-22-200-12-20011−i3i3−i3i3-1-11-11−i3i3−i3i300002-22-200-12-20011−i3i3−i3i3-1-11-11−i3i3−i3i300002-22-200-12-20011−i3i3−i3i3-1-11-11−i3i3−i3i30000
χ222-22-200-12-20011i3−i3i3−i3-1-11-11i3−i3i3−i300002-22-200-12-20011i3−i3i3−i3-1-11-11i3−i3i3−i300002-22-200-12-20011i3−i3i3−i3-1-11-11i3−i3i3−i30000
χ232-22-200-1-220011−i3i3−i3i3-11-11-1i3−i3i3−i300002-22-200-1-220011−i3i3−i3i3-11-11-1i3−i3i3−i300002-22-200-1-220011−i3i3−i3i3-11-11-1i3−i3i3−i30000
χ242-22-200-1-220011i3−i3i3−i3-11-11-1−i3i3−i3i300002-22-200-1-220011i3−i3i3−i3-11-11-1−i3i3−i3i300002-22-200-1-220011i3−i3i3−i3-11-11-1−i3i3−i3i30000
χ252-2-222-220000-222-2-22-20000000000002-2-222-220000-222-2-22-20000000000002-2-222-220000-222-2-22-2000000000000
χ262-2-222-2-100001-1-111-113−3−333−3−3300002-2-222-2-100001-1-111-113−3−333−3−3300002-2-222-2-100001-1-111-113−3−333−3−330000
χ272-2-222-2-100001-1-111-11−333−3−333−300002-2-222-2-100001-1-111-11−333−3−333−300002-2-222-2-100001-1-111-11−333−3−333−30000
χ282-2-22-2220000-22-222-2-20000000000002-2-22-2220000-22-222-2-20000000000002-2-22-2220000-22-222-2-2000000000000
χ292-2-22-22-100001-11-1-1113−3−33−333−300002-2-22-22-100001-11-1-1113−3−33−333−300002-2-22-22-100001-11-1-1113−3−33−333−30000
χ302-2-22-22-100001-11-1-111−333−33−3−3300002-2-22-22-100001-11-1-111−333−33−3−3300002-2-22-22-100001-11-1-111−333−33−3−330000
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
χ331111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1−1+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+i321−i32−1+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−i321+i32−1−i321+i32
χ341111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-11−1+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−i32−1+i321−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+i32−1−i321+i32−1−i32
χ351111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ361111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ371111-1-11-1-11111-1-1-1-11-1-1-1-111111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ381111-1-11-1-11111-1-1-1-11-1-1-1-11111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ39222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000
χ40222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−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−i3−1−i3−1−i31+i321+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
χ412222-2-2-122-2-2-1-11111-1-1-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ422222-2-2-1-2-222-1-11111-11111-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ4322-2-2002002i−2i2-20000-200002i2i−2i−2i0000−1+i3−1+i31−i31−i300−1+i3002ζ7−2ζ7−1+i31−i300001−i300002ζ72ζ7−2ζ7−2ζ70000−1−i3−1−i31+i31+i300−1−i3002ζ11−2ζ11−1−i31+i300001+i300002ζ112ζ11−2ζ11−2ζ110000
χ4422-2-200200−2i2i2-20000-20000−2i−2i2i2i0000−1+i3−1+i31−i31−i300−1+i300−2ζ72ζ7−1+i31−i300001−i30000−2ζ7−2ζ72ζ72ζ70000−1−i3−1−i31+i31+i300−1−i300−2ζ112ζ11−1−i31+i300001+i30000−2ζ11−2ζ112ζ112ζ110000
χ4522-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii0000−1+i3−1+i31−i31−i3001−i32002ζ7−2ζ71−i32−1+i323+i323+i32−3−i32−3−i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−ζ7ζ7ζ70000−1−i3−1−i31+i31+i3001+i32002ζ11−2ζ111+i32−1−i32−3+i32−3+i323−i323−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ11−ζ11ζ11ζ110000
χ4622-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii0000−1+i3−1+i31−i31−i3001−i32002ζ7−2ζ71−i32−1+i32−3−i32−3−i323+i323+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−ζ7ζ7ζ70000−1−i3−1−i31+i31+i3001+i32002ζ11−2ζ111+i32−1−i323−i323−i32−3+i32−3+i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−ζ11−ζ11ζ11ζ110000
χ4722-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i0000−1+i3−1+i31−i31−i3001−i3200−2ζ72ζ71−i32−1+i323+i323+i32−3−i32−3−i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7ζ7−ζ7−ζ70000−1−i3−1−i31+i31+i3001+i3200−2ζ112ζ111+i32−1−i32−3+i32−3+i323−i323−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ11ζ11−ζ11−ζ110000
χ4822-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i0000−1+i3−1+i31−i31−i3001−i3200−2ζ72ζ71−i32−1+i32−3−i32−3−i323+i323+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7ζ7−ζ7−ζ70000−1−i3−1−i31+i31+i3001+i3200−2ζ112ζ111+i32−1−i323−i323−i32−3+i32−3+i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11ζ11ζ11−ζ11−ζ110000
χ492-22-20022-200-2-2000022-22-200000000−1+i31−i3−1+i31−i300−1+i3−1+i31−i3001−i31−i30000−1+i3−1+i31−i3−1+i31−i300000000−1−i31+i3−1−i31+i300−1−i3−1−i31+i3001+i31+i30000−1−i3−1−i31+i3−1−i31+i300000000
χ502-22-2002-2200-2-200002-22-2200000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i3001−i31−i30000−1+i31−i3−1+i31−i3−1+i300000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i3001+i31+i30000−1−i31+i3−1−i31+i3−1−i300000000
χ512-22-200-12-20011−i3i3−i3i3-1-11-11−i3i3−i3i30000−1+i31−i3−1+i31−i3001−i32−1+i31−i300−1+i32−1+i323+i32−3−i323+i32−3−i321−i321−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i320000−1−i31+i3−1−i31+i3001+i32−1−i31+i300−1−i32−1−i32−3+i323−i32−3+i323−i321+i321+i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i320000
χ522-22-200-12-20011i3−i3i3−i3-1-11-11i3−i3i3−i30000−1+i31−i3−1+i31−i3001−i32−1+i31−i300−1+i32−1+i32−3−i323+i32−3−i323+i321−i321−i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i320000−1−i31+i3−1−i31+i3001+i32−1−i31+i300−1−i32−1−i323−i32−3+i323−i32−3+i321+i321+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i320000
χ532-22-200-1-220011−i3i3−i3i3-11-11-1i3−i3i3−i30000−1+i31−i3−1+i31−i3001−i321−i3−1+i300−1+i32−1+i323+i32−3−i323+i32−3−i321−i32−1+i321−i32−1+i321−i32−3−i323+i32−3−i323+i320000−1−i31+i3−1−i31+i3001+i321+i3−1−i300−1−i32−1−i32−3+i323−i32−3+i323−i321+i32−1−i321+i32−1−i321+i323−i32−3+i323−i32−3+i320000
χ542-22-200-1-220011i3−i3i3−i3-11-11-1−i3i3−i3i30000−1+i31−i3−1+i31−i3001−i321−i3−1+i300−1+i32−1+i32−3−i323+i32−3−i323+i321−i32−1+i321−i32−1+i321−i323+i32−3−i323+i32−3−i320000−1−i31+i3−1−i31+i3001+i321+i3−1−i300−1−i32−1−i323−i32−3+i323−i32−3+i321+i32−1−i321+i32−1−i321+i32−3+i323−i32−3+i323−i320000
χ552-2-222-220000-222-2-22-2000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i3−1+i3−1+i31−i31−i3−1+i31−i3000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i3−1−i3−1−i31+i31+i3−1−i31+i3000000000000
χ562-2-222-2-100001-1-111-113−3−333−3−330000−1+i31−i31−i3−1+i3−1+i31−i31−i320000−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i31+i3−1−i3−1−i31+i31+i320000−1−i321+i321+i32−1−i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000
χ572-2-222-2-100001-1-111-11−333−3−333−30000−1+i31−i31−i3−1+i3−1+i31−i31−i320000−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i31+i31+i3−1−i3−1−i31+i31+i320000−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000
χ582-2-22-2220000-22-222-2-2000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i3−1+i31−i31−i3000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i3−1−i31+i31+i3000000000000
χ592-2-22-22-100001-11-1-1113−3−33−333−30000−1+i31−i31−i3−1+i31−i3−1+i31−i320000−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i31+i31+i3−1−i31+i3−1−i31+i320000−1−i321+i32−1−i321+i321+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000
χ602-2-22-22-100001-11-1-111−333−33−3−330000−1+i31−i31−i3−1+i31−i3−1+i31−i320000−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i31+i31+i3−1−i31+i3−1−i31+i320000−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000
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
χ631111111-1-1-1-11111111-1-1-1-1-1-1-1-11-11-1−1−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−i321+i32−1−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+i321−i32−1+i321−i32
χ641111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-11−1−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+i32−1−i321+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−i32−1+i321−i32−1+i32
χ651111-1-1111-1-111-1-1-1-111111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ661111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ671111-1-11-1-11111-1-1-1-11-1-1-1-111111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ681111-1-11-1-11111-1-1-1-11-1-1-1-11111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ69222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000
χ70222222-1-2-2-2-2-1-1-1-1-1-1-1111111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+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+i3−1+i3−1+i31−i321−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
χ712222-2-2-122-2-2-1-11111-1-1-1-1-111110000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ722222-2-2-1-2-222-1-11111-11111-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ7322-2-2002002i−2i2-20000-200002i2i−2i−2i0000−1−i3−1−i31+i31+i300−1−i3002ζ11−2ζ11−1−i31+i300001+i300002ζ112ζ11−2ζ11−2ζ110000−1+i3−1+i31−i31−i300−1+i3002ζ7−2ζ7−1+i31−i300001−i300002ζ72ζ7−2ζ7−2ζ70000
χ7422-2-200200−2i2i2-20000-20000−2i−2i2i2i0000−1−i3−1−i31+i31+i300−1−i300−2ζ112ζ11−1−i31+i300001+i30000−2ζ11−2ζ112ζ112ζ110000−1+i3−1+i31−i31−i300−1+i300−2ζ72ζ7−1+i31−i300001−i30000−2ζ7−2ζ72ζ72ζ70000
χ7522-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii0000−1−i3−1−i31+i31+i3001+i32002ζ11−2ζ111+i32−1−i32−3+i32−3+i323−i323−i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−ζ11−ζ11ζ11ζ110000−1+i3−1+i31−i31−i3001−i32002ζ7−2ζ71−i32−1+i323+i323+i32−3−i32−3−i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−ζ7ζ7ζ70000
χ7622-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii0000−1−i3−1−i31+i31+i3001+i32002ζ11−2ζ111+i32−1−i323−i323−i32−3+i32−3+i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−ζ11−ζ11ζ11ζ110000−1+i3−1+i31−i31−i3001−i32002ζ7−2ζ71−i32−1+i32−3−i32−3−i323+i323+i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11−ζ7−ζ7ζ7ζ70000
χ7722-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i0000−1−i3−1−i31+i31+i3001+i3200−2ζ112ζ111+i32−1−i32−3+i32−3+i323−i323−i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11ζ11ζ11−ζ11−ζ110000−1+i3−1+i31−i31−i3001−i3200−2ζ72ζ71−i32−1+i323+i323+i32−3−i32−3−i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7ζ7−ζ7−ζ70000
χ7822-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i0000−1−i3−1−i31+i31+i3001+i3200−2ζ112ζ111+i32−1−i323−i323−i32−3+i32−3+i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11ζ11ζ11−ζ11−ζ110000−1+i3−1+i31−i31−i3001−i3200−2ζ72ζ71−i32−1+i32−3−i32−3−i323+i323+i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11ζ7ζ7−ζ7−ζ70000
χ792-22-20022-200-2-2000022-22-200000000−1−i31+i3−1−i31+i300−1−i3−1−i31+i3001+i31+i30000−1−i3−1−i31+i3−1−i31+i300000000−1+i31−i3−1+i31−i300−1+i3−1+i31−i3001−i31−i30000−1+i3−1+i31−i3−1+i31−i300000000
χ802-22-2002-2200-2-200002-22-2200000000−1−i31+i3−1−i31+i300−1−i31+i3−1−i3001+i31+i30000−1−i31+i3−1−i31+i3−1−i300000000−1+i31−i3−1+i31−i300−1+i31−i3−1+i3001−i31−i30000−1+i31−i3−1+i31−i3−1+i300000000
χ812-22-200-12-20011−i3i3−i3i3-1-11-11−i3i3−i3i30000−1−i31+i3−1−i31+i3001+i32−1−i31+i300−1−i32−1−i32−3+i323−i32−3+i323−i321+i321+i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i320000−1+i31−i3−1+i31−i3001−i32−1+i31−i300−1+i32−1+i323+i32−3−i323+i32−3−i321−i321−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i320000
χ822-22-200-12-20011i3−i3i3−i3-1-11-11i3−i3i3−i30000−1−i31+i3−1−i31+i3001+i32−1−i31+i300−1−i32−1−i323−i32−3+i323−i32−3+i321+i321+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i320000−1+i31−i3−1+i31−i3001−i32−1+i31−i300−1+i32−1+i32−3−i323+i32−3−i323+i321−i321−i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i320000
χ832-22-200-1-220011−i3i3−i3i3-11-11-1i3−i3i3−i30000−1−i31+i3−1−i31+i3001+i321+i3−1−i300−1−i32−1−i32−3+i323−i32−3+i323−i321+i32−1−i321+i32−1−i321+i323−i32−3+i323−i32−3+i320000−1+i31−i3−1+i31−i3001−i321−i3−1+i300−1+i32−1+i323+i32−3−i323+i32−3−i321−i32−1+i321−i32−1+i321−i32−3−i323+i32−3−i323+i320000
χ842-22-200-1-220011i3−i3i3−i3-11-11-1−i3i3−i3i30000−1−i31+i3−1−i31+i3001+i321+i3−1−i300−1−i32−1−i323−i32−3+i323−i32−3+i321+i32−1−i321+i32−1−i321+i32−3+i323−i32−3+i323−i320000−1+i31−i3−1+i31−i3001−i321−i3−1+i300−1+i32−1+i32−3−i323+i32−3−i323+i321−i32−1+i321−i32−1+i321−i323+i32−3−i323+i32−3−i320000
χ852-2-222-220000-222-2-22-2000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i3−1−i3−1−i31+i31+i3−1−i31+i3000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i3−1+i3−1+i31−i31−i3−1+i31−i3000000000000
χ862-2-222-2-100001-1-111-113−3−333−3−330000−1−i31+i31+i3−1−i3−1−i31+i31+i320000−1−i321+i321+i32−1−i32−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i3−1+i31−i31−i320000−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ872-2-222-2-100001-1-111-11−333−3−333−30000−1−i31+i31+i3−1−i3−1−i31+i31+i320000−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i31−i3−1+i3−1+i31−i31−i320000−1+i321−i321−i32−1+i32−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ882-2-22-2220000-22-222-2-2000000000000−1−i31+i31+i3−1−i31+i3−1−i3−1−i300001+i3−1−i31+i3−1−i3−1−i31+i31+i3000000000000−1+i31−i31−i3−1+i31−i3−1+i3−1+i300001−i3−1+i31−i3−1+i3−1+i31−i31−i3000000000000
χ892-2-22-22-100001-11-1-1113−3−33−333−30000−1−i31+i31+i3−1−i31+i3−1−i31+i320000−1−i321+i32−1−i321+i321+i32−1−i32−1−i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000−1+i31−i31−i3−1+i31−i3−1+i31−i320000−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ902-2-22-22-100001-11-1-111−333−33−3−330000−1−i31+i31+i3−1−i31+i3−1−i31+i320000−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000−1+i31−i31−i3−1+i31−i3−1+i31−i320000−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000

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