Finite Group Databasebeta

← Group #11923752

Character table — Group #11923752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112336666612122424242424242424323232321123366666121224242424242424243232323211233666661212242424242424242432323232
order1242222444242244888836121236126666121212612661212242424243612123612666612121261266121224242424361212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ311-111-1-1-111-111-11-111-1-111-1-111-111-1-1-111-111-11-111-1-111-1-111-111-1-1-111-111-11-111-1-111-1-1
χ411-111-1-1-111-11-11-11-1-11111-1-111-111-1-1-111-11-11-11-1-11111-1-111-111-1-1-111-11-11-11-1-11111-1-1
χ522222222222200000000-1-1-1-122222222222200000000-1-1-1-122222222222200000000-1-1-1-1
χ622-222-2-2-222-2200000000-1-11122-222-2-2-222-2200000000-1-11122-222-2-2-222-2200000000-1-111
χ733333-1-13-1-1-1-11111-1-1-1-1000033333-1-13-1-1-1-11111-1-1-1-1000033333-1-13-1-1-1-11111-1-1-1-10000
χ833333-1-13-1-1-1-1-1-1-1-11111000033333-1-13-1-1-1-1-1-1-1-11111000033333-1-13-1-1-1-1-1-1-1-111110000
χ9333-1-13-1-13-1-1-111-1-11-11-10000333-1-13-1-13-1-1-111-1-11-11-10000333-1-13-1-13-1-1-111-1-11-11-10000
χ10333-1-13-1-13-1-1-1-1-111-11-110000333-1-13-1-13-1-1-1-1-111-11-110000333-1-13-1-13-1-1-1-1-111-11-110000
χ11333-1-1-13-1-13-1-111-1-1-11-110000333-1-1-13-1-13-1-111-1-1-11-110000333-1-1-13-1-13-1-111-1-1-11-110000
χ12333-1-1-13-1-13-1-1-1-1111-11-10000333-1-1-13-1-13-1-1-1-1111-11-10000333-1-1-13-1-13-1-1-1-1111-11-10000
χ1333-33311-3-1-11-11-11-1-1-111000033-33311-3-1-11-11-11-1-1-111000033-33311-3-1-11-11-11-1-1-1110000
χ1433-33311-3-1-11-1-11-1111-1-1000033-33311-3-1-11-1-11-1111-1-1000033-33311-3-1-11-1-11-1111-1-10000
χ1533-3-1-11-31-131-11-1-11-111-1000033-3-1-11-31-131-11-1-11-111-1000033-3-1-11-31-131-11-1-11-111-10000
χ1633-3-1-11-31-131-1-111-11-1-11000033-3-1-11-31-131-1-111-11-1-11000033-3-1-11-31-131-1-111-11-1-110000
χ1733-3-1-1-3113-11-11-1-111-1-11000033-3-1-1-3113-11-11-1-111-1-11000033-3-1-1-3113-11-11-1-111-1-110000
χ1833-3-1-1-3113-11-1-111-1-111-1000033-3-1-1-3113-11-1-111-1-111-1000033-3-1-1-3113-11-1-111-1-111-10000
χ194-40-440000000000000001-13−34-40-440000000000000001-13−34-40-440000000000000001-13−3
χ204-40-440000000000000001-1−334-40-440000000000000001-1−334-40-440000000000000001-1−33
χ214-40-44000000000000000-22004-40-44000000000000000-22004-40-44000000000000000-2200
χ22666-2-2-2-2-2-2-222000000000000666-2-2-2-2-2-2-222000000000000666-2-2-2-2-2-2-222000000000000
χ2366-6-2-2222-2-2-2200000000000066-6-2-2222-2-2-2200000000000066-6-2-2222-2-2-22000000000000
χ2412-1204-4000000000000000000012-1204-4000000000000000000012-1204-40000000000000000000
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
χ26111111111111-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32
χ2711-111-1-1-111-111-11-111-1-111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ2811-111-1-1-111-11-11-11-1-11111-1-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2922222222222200000000-1-1-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i32
χ3022-222-2-2-222-2200000000-1-111−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3000000001−i321−i32−1+i32−1+i32−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3000000001+i321+i32−1−i32−1−i32
χ3133333-1-13-1-1-1-11111-1-1-1-10000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ3233333-1-13-1-1-1-1-1-1-1-111110000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ33333-1-13-1-13-1-1-111-1-11-11-10000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i320000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i320000
χ34333-1-13-1-13-1-1-1-1-111-11-110000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i320000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i320000
χ35333-1-1-13-1-13-1-111-1-1-11-110000−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i320000−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i320000
χ36333-1-1-13-1-13-1-1-1-1111-11-10000−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i320000−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i320000
χ3733-33311-3-1-11-11-11-1-1-1110000−3+3i32−3+3i323−3i32−3+3i32−3+3i32−1+i32−1+i323−3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i320000−3−3i32−3−3i323+3i32−3−3i32−3−3i32−1−i32−1−i323+3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i320000
χ3833-33311-3-1-11-1-11-1111-1-10000−3+3i32−3+3i323−3i32−3+3i32−3+3i32−1+i32−1+i323−3i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i320000−3−3i32−3−3i323+3i32−3−3i32−3−3i32−1−i32−1−i323+3i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i320000
χ3933-3-1-11-31-131-11-1-11-111-10000−3+3i32−3+3i323−3i321−i321−i32−1+i323−3i32−1+i321−i32−3+3i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i320000−3−3i32−3−3i323+3i321+i321+i32−1−i323+3i32−1−i321+i32−3−3i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i320000
χ4033-3-1-11-31-131-1-111-11-1-110000−3+3i32−3+3i323−3i321−i321−i32−1+i323−3i32−1+i321−i32−3+3i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i32−1−i323+3i32−1−i321+i32−3−3i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i320000
χ4133-3-1-1-3113-11-11-1-111-1-110000−3+3i32−3+3i323−3i321−i321−i323−3i32−1+i32−1+i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i320000−3−3i32−3−3i323+3i321+i321+i323+3i32−1−i32−1−i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i320000
χ4233-3-1-1-3113-11-1-111-1-111-10000−3+3i32−3+3i323−3i321−i321−i323−3i32−1+i32−1+i32−3+3i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i320000−3−3i32−3−3i323+3i321+i321+i323+3i32−1−i32−1−i32−3−3i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i320000
χ434-40-440000000000000001-13−3−2+2i32−2i302−2i3−2+2i3000000000000000−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−2−2i32+2i302+2i3−2−2i3000000000000000−1−i321+i322ζ7+ζ11−2ζ7−ζ11
χ444-40-440000000000000001-1−33−2+2i32−2i302−2i3−2+2i3000000000000000−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−2−2i32+2i302+2i3−2−2i3000000000000000−1−i321+i32−2ζ7−ζ112ζ7+ζ11
χ454-40-44000000000000000-2200−2+2i32−2i302−2i3−2+2i30000000000000001−i3−1+i300−2−2i32+2i302+2i3−2−2i30000000000000001+i3−1−i300
χ46666-2-2-2-2-2-2-222000000000000−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000
χ4766-6-2-2222-2-2-22000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3000000000000
χ4812-1204-40000000000000000000−6+6i36−6i30−2+2i32−2i30000000000000000000−6−6i36+6i30−2−2i32+2i30000000000000000000
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
χ50111111111111-1-1-1-1-1-1-1-11111−1−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−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i32
χ5111-111-1-1-111-111-11-111-1-111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ5211-111-1-1-111-11-11-11-1-11111-1-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ5322222222222200000000-1-1-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i32
χ5422-222-2-2-222-2200000000-1-111−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i3000000001+i321+i32−1−i32−1−i32−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i3000000001−i321−i32−1+i32−1+i32
χ5533333-1-13-1-1-1-11111-1-1-1-10000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ5633333-1-13-1-1-1-1-1-1-1-111110000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
χ57333-1-13-1-13-1-1-111-1-11-11-10000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i320000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i320000
χ58333-1-13-1-13-1-1-1-1-111-11-110000−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i320000−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i320000
χ59333-1-1-13-1-13-1-111-1-1-11-110000−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i320000−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i320000
χ60333-1-1-13-1-13-1-1-1-1111-11-10000−3−3i32−3−3i32−3−3i321+i321+i321+i32−3−3i321+i321+i32−3−3i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i320000−3+3i32−3+3i32−3+3i321−i321−i321−i32−3+3i321−i321−i32−3+3i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i320000
χ6133-33311-3-1-11-11-11-1-1-1110000−3−3i32−3−3i323+3i32−3−3i32−3−3i32−1−i32−1−i323+3i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i320000−3+3i32−3+3i323−3i32−3+3i32−3+3i32−1+i32−1+i323−3i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i320000
χ6233-33311-3-1-11-1-11-1111-1-10000−3−3i32−3−3i323+3i32−3−3i32−3−3i32−1−i32−1−i323+3i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i320000−3+3i32−3+3i323−3i32−3+3i32−3+3i32−1+i32−1+i323−3i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i320000
χ6333-3-1-11-31-131-11-1-11-111-10000−3−3i32−3−3i323+3i321+i321+i32−1−i323+3i32−1−i321+i32−3−3i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i320000−3+3i32−3+3i323−3i321−i321−i32−1+i323−3i32−1+i321−i32−3+3i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i320000
χ6433-3-1-11-31-131-1-111-11-1-110000−3−3i32−3−3i323+3i321+i321+i32−1−i323+3i32−1−i321+i32−3−3i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i32−1+i323−3i32−1+i321−i32−3+3i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i320000
χ6533-3-1-1-3113-11-11-1-111-1-110000−3−3i32−3−3i323+3i321+i321+i323+3i32−1−i32−1−i32−3−3i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i320000−3+3i32−3+3i323−3i321−i321−i323−3i32−1+i32−1+i32−3+3i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i320000
χ6633-3-1-1-3113-11-1-111-1-111-10000−3−3i32−3−3i323+3i321+i321+i323+3i32−1−i32−1−i32−3−3i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i320000−3+3i32−3+3i323−3i321−i321−i323−3i32−1+i32−1+i32−3+3i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i320000
χ674-40-440000000000000001-13−3−2−2i32+2i302+2i3−2−2i3000000000000000−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2+2i32−2i302−2i3−2+2i3000000000000000−1+i321−i32−ζ7−2ζ11ζ7+2ζ11
χ684-40-440000000000000001-1−33−2−2i32+2i302+2i3−2−2i3000000000000000−1−i321+i32−2ζ7−ζ112ζ7+ζ11−2+2i32−2i302−2i3−2+2i3000000000000000−1+i321−i32ζ7+2ζ11−ζ7−2ζ11
χ694-40-44000000000000000-2200−2−2i32+2i302+2i3−2−2i30000000000000001+i3−1−i300−2+2i32−2i302−2i3−2+2i30000000000000001−i3−1+i300
χ70666-2-2-2-2-2-2-222000000000000−3−3i3−3−3i3−3−3i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000−3+3i3−3+3i3−3+3i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000
χ7166-6-2-2222-2-2-22000000000000−3−3i3−3−3i33+3i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3000000000000−3+3i3−3+3i33−3i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3000000000000
χ7212-1204-40000000000000000000−6−6i36+6i30−2−2i32+2i30000000000000000000−6+6i36−6i30−2+2i32−2i30000000000000000000

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