Finite Group Databasebeta

← Group #64021

Character table — Group #64021

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444666612121111222222444444446666121211112222224444444466661212
order122234466644121212121212444424366631212666121212121212121212121212612366631212666121212121212121212121212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-11111111111-1-1-1-111-1-11111-1-1
χ41111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111
χ511111-1-11111-1-1-1-1-11111-1-11-111111-1-11111-1-1-1-1-11111-1-11-111111-1-11111-1-1-1-1-11111-1-11-1
χ611111-1-11111-1-1-1-1-111-1-111-1111111-1-11111-1-1-1-1-111-1-111-1111111-1-11111-1-1-1-1-111-1-111-11
χ711111-1-1111-1111-1-1-1-111-1-1-1111111-1-1111-1111-1-1-1-111-1-1-1111111-1-1111-1111-1-1-1-111-1-1-11
χ811111-1-1111-1111-1-1-1-1-1-1111-111111-1-1111-1111-1-1-1-1-1-1111-111111-1-1111-1111-1-1-1-1-1-1111-1
χ92222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ102222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-1110000002222-122-1-1-1-2-211-1-111000000
χ112222-1-2-2-1-1-12-21111-1-10000002222-1-2-2-1-1-12-21111-1-10000002222-1-2-2-1-1-12-21111-1-1000000
χ122222-1-2-2-1-1-1-22-1-111110000002222-1-2-2-1-1-1-22-1-111110000002222-1-2-2-1-1-1-22-1-11111000000
χ1322-2-2200-2-2200000000002i−2i0022-2-2200-2-2200000000002i−2i0022-2-2200-2-2200000000002i−2i00
χ1422-2-2200-2-220000000000−2i2i0022-2-2200-2-220000000000−2i2i0022-2-2200-2-220000000000−2i2i00
χ152-22-222i−2i-22-200002i−2i000000002-22-222i−2i-22-200002i−2i000000002-22-222i−2i-22-200002i−2i00000000
χ162-22-22−2i2i-22-20000−2i2i000000002-22-22−2i2i-22-20000−2i2i000000002-22-22−2i2i-22-20000−2i2i00000000
χ172-22-2-12i−2i1-1100−i3i3−ii3−30000002-22-2-12i−2i1-1100−i3i3−ii3−30000002-22-2-12i−2i1-1100−i3i3−ii3−3000000
χ182-22-2-12i−2i1-1100i3−i3−ii−330000002-22-2-12i−2i1-1100i3−i3−ii−330000002-22-2-12i−2i1-1100i3−i3−ii−33000000
χ192-22-2-1−2i2i1-1100−i3i3i−i−330000002-22-2-1−2i2i1-1100−i3i3i−i−330000002-22-2-1−2i2i1-1100−i3i3i−i−33000000
χ202-22-2-1−2i2i1-1100i3−i3i−i3−30000002-22-2-1−2i2i1-1100i3−i3i−i3−30000002-22-2-1−2i2i1-1100i3−i3i−i3−3000000
χ212-2-222002-2-2000000002i−2i00002-2-222002-2-2000000002i−2i00002-2-222002-2-2000000002i−2i0000
χ222-2-222002-2-200000000−2i2i00002-2-222002-2-200000000−2i2i00002-2-222002-2-200000000−2i2i0000
χ2344-4-4-20022-20000000000000044-4-4-20022-20000000000000044-4-4-20022-200000000000000
χ244-4-44-200-222000000000000004-4-44-200-222000000000000004-4-44-200-22200000000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111-1-1-1-1-1-1−1+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+i321−i321−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−i321+i321+i321+i321+i321+i321+i32
χ271111111111-1-1-1-111-1-11111-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-1-1-111-1-1-1-1-1-111−1+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+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2911111-1-11111-1-1-1-1-11111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3011111-1-11111-1-1-1-1-111-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3111111-1-1111-1111-1-1-1-111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3211111-1-1111-1111-1-1-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ332222-122-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ342222-122-1-1-1-2-211-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ352222-1-2-2-1-1-12-21111-1-1000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ362222-1-2-2-1-1-1-22-1-11111000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ3722-2-2200-2-2200000000002i−2i00−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i300000000002ζ7−2ζ700−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i300000000002ζ11−2ζ1100
χ3822-2-2200-2-220000000000−2i2i00−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i30000000000−2ζ72ζ700−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i30000000000−2ζ112ζ1100
χ392-22-222i−2i-22-200002i−2i00000000−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i300002ζ7−2ζ700000000−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i300002ζ11−2ζ1100000000
χ402-22-22−2i2i-22-20000−2i2i00000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i30000−2ζ72ζ700000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i30000−2ζ112ζ1100000000
χ412-22-2-12i−2i1-1100−i3i3−ii3−3000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i32003+i32−3−i32−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i3200−3+i323−i32−ζ11ζ112ζ7+ζ11−2ζ7−ζ11000000
χ422-22-2-12i−2i1-1100i3−i3−ii−33000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i3200−3−i323+i32−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i32003−i32−3+i32−ζ11ζ11−2ζ7−ζ112ζ7+ζ11000000
χ432-22-2-1−2i2i1-1100−i3i3i−i−33000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i32003+i32−3−i32ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i3200−3+i323−i32ζ11−ζ11−2ζ7−ζ112ζ7+ζ11000000
χ442-22-2-1−2i2i1-1100i3−i3i−i3−3000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i3200−3−i323+i32ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i32003−i32−3+i32ζ11−ζ112ζ7+ζ11−2ζ7−ζ11000000
χ452-2-222002-2-2000000002i−2i0000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i3000000002ζ7−2ζ70000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i3000000002ζ11−2ζ110000
χ462-2-222002-2-200000000−2i2i0000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300000000−2ζ72ζ70000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300000000−2ζ112ζ110000
χ4744-4-4-20022-200000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i300000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i300000000000000
χ484-4-44-200-22200000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i300000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300000000000000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111-1-1-1-1-1-1−1−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−i321+i321+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+i321−i321−i321−i321−i321−i321−i32
χ511111111111-1-1-1-111-1-11111-1-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-1-1-111-1-1-1-1-1-111−1−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−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5311111-1-11111-1-1-1-1-11111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ5411111-1-11111-1-1-1-1-111-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ5511111-1-1111-1111-1-1-1-111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ5611111-1-1111-1111-1-1-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ572222-122-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ582222-122-1-1-1-2-211-1-111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ592222-1-2-2-1-1-12-21111-1-1000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ602222-1-2-2-1-1-1-22-1-11111000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ6122-2-2200-2-2200000000002i−2i00−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i300000000002ζ11−2ζ1100−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i300000000002ζ7−2ζ700
χ6222-2-2200-2-220000000000−2i2i00−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i30000000000−2ζ112ζ1100−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i30000000000−2ζ72ζ700
χ632-22-222i−2i-22-200002i−2i00000000−1−i31+i3−1−i31+i3−1−i32ζ11−2ζ111+i3−1−i31+i300002ζ11−2ζ1100000000−1+i31−i3−1+i31−i3−1+i32ζ7−2ζ71−i3−1+i31−i300002ζ7−2ζ700000000
χ642-22-22−2i2i-22-20000−2i2i00000000−1−i31+i3−1−i31+i3−1−i3−2ζ112ζ111+i3−1−i31+i30000−2ζ112ζ1100000000−1+i31−i3−1+i31−i3−1+i3−2ζ72ζ71−i3−1+i31−i30000−2ζ72ζ700000000
χ652-22-2-12i−2i1-1100−i3i3−ii3−3000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i3200−3+i323−i32−ζ11ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i32003+i32−3−i32−ζ7ζ7−ζ7−2ζ11ζ7+2ζ11000000
χ662-22-2-12i−2i1-1100i3−i3−ii−33000000−1−i31+i3−1−i31+i31+i322ζ11−2ζ11−1−i321+i32−1−i32003−i32−3+i32−ζ11ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i3−1+i31−i31−i322ζ7−2ζ7−1+i321−i32−1+i3200−3−i323+i32−ζ7ζ7ζ7+2ζ11−ζ7−2ζ11000000
χ672-22-2-1−2i2i1-1100−i3i3i−i−33000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i3200−3+i323−i32ζ11−ζ11−2ζ7−ζ112ζ7+ζ11000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i32003+i32−3−i32ζ7−ζ7ζ7+2ζ11−ζ7−2ζ11000000
χ682-22-2-1−2i2i1-1100i3−i3i−i3−3000000−1−i31+i3−1−i31+i31+i32−2ζ112ζ11−1−i321+i32−1−i32003−i32−3+i32ζ11−ζ112ζ7+ζ11−2ζ7−ζ11000000−1+i31−i3−1+i31−i31−i32−2ζ72ζ7−1+i321−i32−1+i3200−3−i323+i32ζ7−ζ7−ζ7−2ζ11ζ7+2ζ11000000
χ692-2-222002-2-2000000002i−2i0000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i3000000002ζ11−2ζ110000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i3000000002ζ7−2ζ70000
χ702-2-222002-2-200000000−2i2i0000−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300000000−2ζ112ζ110000−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300000000−2ζ72ζ70000
χ7144-4-4-20022-200000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i300000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i300000000000000
χ724-4-44-200-22200000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i300000000000000

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