Finite Group Databasebeta

← Group #11923318

Character table — Group #11923318

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444444666688888888888888121212121212121212121212121216161616161616161616161616161616363636364848484848484848
order1223446121233666881224242424224433666612121212121212122224668812122424242466121224242424242424242424242424446666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-11-1-1-1-111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1
χ411111111111111-1-11-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111
χ5111111111−1−i32−1+i321−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ6111111111−1−i32−1+i321−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i32
χ7111111111−1−i32−1+i321−1−i32−1+i32-1-11-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-111-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32
χ8111111111−1−i32−1+i321−1−i32−1+i32-1-11-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321-1-111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32
χ9111111111−1+i32−1−i321−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ10111111111−1+i32−1−i321−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i32
χ11111111111−1+i32−1−i321−1+i32−1−i32-1-11-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-111-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32
χ12111111111−1+i32−1−i321−1+i32−1−i32-1-11-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321-1-111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32
χ1311-11-1111111-1111-1-111-1-11-11-111-1-111-1-11111111-11-11-11-11-111-1-1-1-1-1-1111-1-1-1111-1-1-1-11-111-11-111-1-1
χ1411-11-1111111-1111-1-111-1-11-11-111-1-111-1-1111111-11-111-11-11-111-1-1-1-1-1-1111-1-1-1111-1-1-11-11-1-11-11-1-111
χ1511-11-1111111-111-11-1-1-1111-11-111-1-111-1-11111111-1-111-1-111-1-1-111-1-1-1-1-1-1-1111-1-1-111111-1-11-11-1-1-111
χ1611-11-1111111-111-11-1-1-1111-11-111-1-111-1-1111111-111-11-1-111-1-1-111-1-1-1-1-1-1-1111-1-1-1111-1-111-11-1111-1-1
χ1711-11-11111−1−i32−1+i32-1−1−i32−1+i321-1-111-1-11-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11-11-11-111-1-11+i321−i321+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i32
χ1811-11-11111−1−i32−1+i32-1−1−i32−1+i321-1-111-1-11-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111-11-11-111-1-11+i321−i321+i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321-11-11+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32
χ1911-11-11111−1−i32−1+i32-1−1−i32−1+i32-11-1-1-1111-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111-1-111-1-1-1111+i321−i321+i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i3211-1-1−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i32
χ2011-11-11111−1−i32−1+i32-1−1−i32−1+i32-11-1-1-1111-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-11-1-111-1-1-1111+i321−i321+i321−i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32-1-1111+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32
χ2111-11-11111−1+i32−1−i32-1−1+i32−1−i321-1-111-1-11-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11-11-11-111-1-11−i321+i321−i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i32
χ2211-11-11111−1+i32−1−i32-1−1+i32−1−i321-1-111-1-11-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111-11-11-111-1-11−i321+i321−i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321-11-11−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32
χ2311-11-11111−1+i32−1−i32-1−1+i32−1−i32-11-1-1-1111-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111-1-111-1-1-1111−i321+i321−i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i3211-1-1−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i32
χ2411-11-11111−1+i32−1−i32-1−1+i32−1−i32-11-1-1-1111-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-11-1-111-1-1-1111−i321+i321−i321+i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32-1-1111−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32
χ252222-2-22-2-22222200-20000-2-222222222-2-2-2-2-2-2-2-20000-2-20022000022-2-2000000000000000000000000
χ262222-2-22-2-2−1−i3−1+i32−1−i3−1+i300-20000-2-222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i31+i31+i31−i31−i30000-2-200220000−1−i3−1+i31+i31−i3000000000000000000000000
χ272222-2-22-2-2−1+i3−1−i32−1+i3−1−i300-20000-2-222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i31−i31−i31+i31+i30000-2-200220000−1+i3−1−i31−i31+i3000000000000000000000000
χ28222-122-1-1-122-12222-1-1-1-1-12222-1-122-1-12222-1-1-1-10000-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000
χ29222-122-1-1-122-122-2-2-111112222-1-122-1-12222-1-1-1-10000-1-1-2-2-1-11111-1-1-1-1-211-211-211-211000000000000
χ30222-122-1-1-1−1−i3−1+i3-1−1−i3−1+i322-1-1-1-1-122221+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i320000-1-122-1-1-1-1-1-11+i321−i321+i321−i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000000
χ31222-122-1-1-1−1−i3−1+i3-1−1−i3−1+i3-2-2-1111122221+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i320000-1-1-2-2-1-111111+i321−i321+i321−i321+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000000
χ32222-122-1-1-1−1+i3−1−i3-1−1+i3−1−i322-1-1-1-1-122221−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i320000-1-122-1-1-1-1-1-11−i321+i321−i321+i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000000
χ33222-122-1-1-1−1+i3−1−i3-1−1+i3−1−i3-2-2-1111122221−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i320000-1-1-2-2-1-111111−i321+i321−i321+i321−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000000
χ34222-1-2-2-11122-1220013−33−3-2-222-1-122-1-1-2-2-2-2111100001100-1-13−33−3-1-11103−303−303−303−3000000000000
χ35222-1-2-2-11122-122001−33−33-2-222-1-122-1-1-2-2-2-2111100001100-1-1−33−33-1-1110−330−330−330−33000000000000
χ36222-1-2-2-111−1−i3−1+i3-1−1−i3−1+i30013−33−3-2-2221+i321−i32−1−i3−1+i31+i321−i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i3200001100-1-13−33−31+i321−i32−1−i32−1+i3202ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ110−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ11000000000000
χ37222-1-2-2-111−1−i3−1+i3-1−1−i3−1+i3001−33−33-2-2221+i321−i32−1−i3−1+i31+i321−i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i3200001100-1-1−33−331+i321−i32−1−i32−1+i320−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ110ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ11000000000000
χ38222-1-2-2-111−1+i3−1−i3-1−1+i3−1−i30013−33−3-2-2221−i321+i32−1+i3−1−i31−i321+i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i3200001100-1-13−33−31−i321+i32−1+i32−1−i320−ζ7−2ζ11ζ7+2ζ110−ζ7−2ζ11ζ7+2ζ1102ζ7+ζ11−2ζ7−ζ1102ζ7+ζ11−2ζ7−ζ11000000000000
χ39222-1-2-2-111−1+i3−1−i3-1−1+i3−1−i3001−33−33-2-2221−i321+i32−1+i3−1−i31−i321+i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i3200001100-1-1−33−331−i321+i32−1+i32−1−i320ζ7+2ζ11−ζ7−2ζ110ζ7+2ζ11−ζ7−2ζ110−2ζ7−ζ112ζ7+ζ110−2ζ7−ζ112ζ7+ζ11000000000000
χ4022-222-22-2-222-2220020000-222-222-2-22222-2-2-2-2-2-20000-22002-20000-2-222000000000000000000000000
χ4122-222-22-2-2−1−i3−1+i3-2−1−i3−1+i30020000-222-2−1−i3−1+i31+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i30000-22002-200001+i31−i3−1−i3−1+i3000000000000000000000000
χ4222-222-22-2-2−1+i3−1−i3-2−1+i3−1−i30020000-222-2−1+i3−1−i31−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i30000-22002-200001−i31+i3−1+i3−1−i3000000000000000000000000
χ4322-2-12-2-1112212200-13−3−33-222-2-1-1-2-2-1-122-2-2111100001-100-113−3−3311-1-103−30−3303−30−33000000000000
χ4422-2-12-2-1112212200-1−333−3-222-2-1-1-2-2-1-122-2-2111100001-100-11−333−311-1-10−3303−30−3303−3000000000000
χ4522-2-12-2-111−1−i3−1+i31−1−i3−1+i300-13−3−33-222-21+i321−i321+i31−i31+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i3200001-100-113−3−33−1−i32−1+i321+i321−i3202ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ110−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ11000000000000
χ4622-2-12-2-111−1−i3−1+i31−1−i3−1+i300-1−333−3-222-21+i321−i321+i31−i31+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i3200001-100-11−333−3−1−i32−1+i321+i321−i320−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ110ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ11000000000000
χ4722-2-12-2-111−1+i3−1−i31−1+i3−1−i300-13−3−33-222-21−i321+i321−i31+i31−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i3200001-100-113−3−33−1+i32−1−i321−i321+i320−ζ7−2ζ11ζ7+2ζ110ζ7+2ζ11−ζ7−2ζ1102ζ7+ζ11−2ζ7−ζ110−2ζ7−ζ112ζ7+ζ11000000000000
χ4822-2-12-2-111−1+i3−1−i31−1+i3−1−i300-1−333−3-222-21−i321+i321−i31+i31−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i3200001-100-11−333−3−1+i32−1−i321−i321+i320ζ7+2ζ11−ζ7−2ζ110−ζ7−2ζ11ζ7+2ζ110−2ζ7−ζ112ζ7+ζ1102ζ7+ζ11−2ζ7−ζ11000000000000
χ4922-2-1-22-1-1-1221222-21-1-1112-22-2-1-1-2-2-1-1-2-222-1-1-1-10000-112-2-11-1-11111112-1-1-2112-1-1-211000000000000
χ5022-2-1-22-1-1-122122-22111-1-12-22-2-1-1-2-2-1-1-2-222-1-1-1-10000-11-22-1111-1-11111-2112-1-1-2112-1-1000000000000
χ5122-2-1-22-1-1-1−1−i3−1+i31−1−i3−1+i32-21-1-1112-22-21+i321−i321+i31−i31+i321−i321+i31−i3−1−i3−1+i31+i321+i321−i321−i320000-112-2-11-1-111−1−i32−1+i32−1−i32−1+i32−1−i31+i321+i321+i3−1−i32−1−i32−1+i31−i321−i321−i3−1+i32−1+i32000000000000
χ5222-2-1-22-1-1-1−1−i3−1+i31−1−i3−1+i3-22111-1-12-22-21+i321−i321+i31−i31+i321−i321+i31−i3−1−i3−1+i31+i321+i321−i321−i320000-11-22-1111-1-1−1−i32−1+i32−1−i32−1+i321+i3−1−i32−1−i32−1−i31+i321+i321−i3−1+i32−1+i32−1+i31−i321−i32000000000000
χ5322-2-1-22-1-1-1−1+i3−1−i31−1+i3−1−i32-21-1-1112-22-21−i321+i321−i31+i31−i321+i321−i31+i3−1+i3−1−i31−i321−i321+i321+i320000-112-2-11-1-111−1+i32−1−i32−1+i32−1−i32−1+i31−i321−i321−i3−1+i32−1+i32−1−i31+i321+i321+i3−1−i32−1−i32000000000000
χ5422-2-1-22-1-1-1−1+i3−1−i31−1+i3−1−i3-22111-1-12-22-21−i321+i321−i31+i31−i321+i321−i31+i3−1+i3−1−i31−i321−i321+i321+i320000-11-22-1111-1-1−1+i32−1−i32−1+i32−1−i321−i3−1+i32−1+i32−1+i31−i321−i321+i3−1−i32−1−i32−1−i31+i321+i32000000000000
χ55333333333003003333333-1-1-1-1000000000000003333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ56333333333003003333333-1-1-1-100000000000000-3-3-3-3-1-1-1-1-1-1-1-1-1-10000000000000000111100000000
χ5733333333300300-3-33-3-3-3-3-1-1-1-10000000000000033-3-3-1-111-1-1111100000000000000001-1-1100000000
χ5833333333300300-3-33-3-3-3-3-1-1-1-100000000000000-3-333-1-111-1-111110000000000000000-111-100000000
χ5933-33-3333300-3003-3-333-3-3-11-11000000000000003-33-3-11-11-11-1-11100000000000000001-11-100000000
χ6033-33-3333300-3003-3-333-3-3-11-1100000000000000-33-33-11-11-11-1-1110000000000000000-11-1100000000
χ6133-33-3333300-300-33-3-3-333-11-11000000000000003-3-33-111-1-1111-1-10000000000000000-1-11100000000
χ6233-33-3333300-300-33-3-3-333-11-1100000000000000-333-3-111-1-1111-1-1000000000000000011-1-100000000
χ636666-6-66-6-60060000-6000022-2-20000000000000000002200-2-200000000000000000000000000000000
χ64666-366-3-3-300-30066-3-3-3-3-3-2-2-2-200000000000000000011-2-21111110000000000000000000000000000
χ65666-366-3-3-300-300-6-6-33333-2-2-2-2000000000000000000112211-1-1-1-10000000000000000000000000000
χ66666-3-6-6-33300-30000333−3333−3322-2-2000000000000000000-1-10011−33−330000000000000000000000000000
χ67666-3-6-6-33300-300003−3333−333322-2-2000000000000000000-1-100113−33−30000000000000000000000000000
χ6866-666-66-6-600-60000600002-2-220000000000000000002-200-2200000000000000000000000000000000
χ6966-6-36-6-3330030000-333−33−33332-2-22000000000000000000-11001-1−333−30000000000000000000000000000
χ7066-6-36-6-3330030000-3−333333−332-2-22000000000000000000-11001-13−3−330000000000000000000000000000
χ7166-6-3-66-3-3-3003006-63-3-333-22-220000000000000000001-1-221-111-1-10000000000000000000000000000
χ7266-6-3-66-3-3-300300-66333-3-3-22-220000000000000000001-12-21-1-1-1110000000000000000000000000000
χ738-80800-800-4-404400000000000-4-4004400000000000000000000000000000000000000000000000000
χ748-80800-8002+2i32−2i30−2−2i3−2+2i3000000000002+2i32−2i300−2−2i3−2+2i300000000000000000000000000000000000000000000000000
χ758-80800-8002−2i32+2i30−2+2i3−2−2i3000000000002−2i32+2i300−2+2i3−2−2i300000000000000000000000000000000000000000000000000
χ768-80-400443−43-4-4044000000000002200-2-2000023−2323−23000000000000000000000000000000000000000000
χ778-80-400443−432+2i32−2i30−2−2i3−2+2i300000000000−1−i3−1+i3001+i31−i300004ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000000000000000000000
χ788-80-400443−432−2i32+2i30−2+2i3−2−2i300000000000−1+i3−1−i3001−i31+i30000−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000000000000000000000
χ798-80-4004−4343-4-4044000000000002200-2-20000−2323−2323000000000000000000000000000000000000000000
χ808-80-4004−43432+2i32−2i30−2−2i3−2+2i300000000000−1−i3−1+i3001+i31−i30000−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000000000000000000000
χ818-80-4004−43432−2i32+2i30−2+2i3−2−2i300000000000−1+i3−1−i3001−i31+i300002ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000000000000000000000

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