Finite Group Databasebeta

← Group #13164620

Character table — Group #13164620

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122666991212121212121212242424243636363654112266699121212121212121224242424363636365411226669912121212121212122424242436363636541122666991212121212121212242424243636363654
order1236346443366121212123366121212122226664644666612121212666612121212222666464466661212121266661212121222266646446666121212126666121212122
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321
χ3111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321
χ41111111-1-1111111111111-1-1-1-1-11111111-1-1111111111111-1-1-1-1-11111111-1-1111111111111-1-1-1-1-11111111-1-1111111111111-1-1-1-1-1
χ51111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1
χ61111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1
χ72222-12-10022222-1-1-1-1-1-1-1000002222-12-10022222-1-1-1-1-1-1-1000002222-12-10022222-1-1-1-1-1-1-1000002222-12-10022222-1-1-1-1-1-1-100000
χ82222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i32000002222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i32000002222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i32000002222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000
χ92222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i32000002222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i32000002222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i32000002222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000
χ102-22-220-22i−2i-1-1110000-1-111i−ii−i02-22-220-22i−2i-1-1110000-1-111i−ii−i02-22-220-22i−2i-1-1110000-1-111i−ii−i02-22-220-22i−2i-1-1110000-1-111i−ii−i0
χ112-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ702-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ702-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ702-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70
χ122-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1102-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1102-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1102-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110
χ132-22-220-2−2i2i-1-1110000-1-111−ii−ii02-22-220-2−2i2i-1-1110000-1-111−ii−ii02-22-220-2−2i2i-1-1110000-1-111−ii−ii02-22-220-2−2i2i-1-1110000-1-111−ii−ii0
χ142-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ702-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ702-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ702-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70
χ152-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1102-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1102-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1102-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110
χ1633333-13330000-1-1-1-100000000-133333-13330000-1-1-1-100000000-133333-13330000-1-1-1-100000000-133333-13330000-1-1-1-100000000-1
χ1733333-13-3-30000-1-1-1-100000000133333-13-3-30000-1-1-1-100000000133333-13-3-30000-1-1-1-100000000133333-13-3-30000-1-1-1-1000000001
χ184-44-4-20200-2-222000011-1-1000004-44-4-20200-2-222000011-1-1000004-44-4-20200-2-222000011-1-1000004-44-4-20200-2-222000011-1-100000
χ194-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000
χ204-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000
χ216666-3-2-3000000-21110000000006666-3-2-3000000-21110000000006666-3-2-3000000-21110000000006666-3-2-3000000-2111000000000
χ2266-3-3060000000-300000000000066-3-3060000000-300000000000066-3-3060000000-300000000000066-3-3060000000-3000000000000
χ2366-3-30-2000000014-2-200000000066-3-30-2000000014-2-200000000066-3-30-2000000014-2-200000000066-3-30-2000000014-2-2000000000
χ2466-3-30-200000001-24-200000000066-3-30-200000001-24-200000000066-3-30-200000001-24-200000000066-3-30-200000001-24-2000000000
χ2566-3-30-200000001-2-2400000000066-3-30-200000001-2-2400000000066-3-30-200000001-2-2400000000066-3-30-200000001-2-24000000000
χ2612-12-66000000000000000000000012-12-66000000000000000000000012-12-66000000000000000000000012-12-660000000000000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1
χ29111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1
χ301111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ311111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1111+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1111+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321
χ321111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1111−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1111−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321
χ332222-12-10022222-1-1-1-1-1-1-100000-2-2-2-21-2100-2-2-2-2-21111111000002222-12-10022222-1-1-1-1-1-1-100000-2-2-2-21-2100-2-2-2-2-2111111100000
χ342222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-21-21001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i32000002222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-21-21001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000
χ352222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-21-21001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i32000002222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-21-21001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000
χ362-22-220-22i−2i-1-1110000-1-111i−ii−i0-22-22-202−2i2i11-1-1000011-1-1−ii−ii02-22-220-22i−2i-1-1110000-1-111i−ii−i0-22-22-202−2i2i11-1-1000011-1-1−ii−ii0
χ372-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70-22-22-202−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ702-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70-22-22-202−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ70
χ382-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110-22-22-202−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1102-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110-22-22-202−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ110
χ392-22-220-2−2i2i-1-1110000-1-111−ii−ii0-22-22-2022i−2i11-1-1000011-1-1i−ii−i02-22-220-2−2i2i-1-1110000-1-111−ii−ii0-22-22-2022i−2i11-1-1000011-1-1i−ii−i0
χ402-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70-22-22-2022i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ702-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70-22-22-2022i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ70
χ412-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110-22-22-2022i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1102-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110-22-22-2022i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ110
χ4233333-13330000-1-1-1-100000000-1-3-3-3-3-31-3-3-30000111100000000133333-13330000-1-1-1-100000000-1-3-3-3-3-31-3-3-300001111000000001
χ4333333-13-3-30000-1-1-1-1000000001-3-3-3-3-31-3330000111100000000-133333-13-3-30000-1-1-1-1000000001-3-3-3-3-31-3330000111100000000-1
χ444-44-4-20200-2-222000011-1-100000-44-4420-20022-2-20000-1-111000004-44-4-20200-2-222000011-1-100000-44-4420-20022-2-20000-1-11100000
χ454-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4420-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i32000004-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4420-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000
χ464-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4420-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i32000004-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4420-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000
χ476666-3-2-3000000-2111000000000-6-6-6-63230000002-1-1-10000000006666-3-2-3000000-2111000000000-6-6-6-63230000002-1-1-1000000000
χ4866-3-3060000000-3000000000000-6-6330-60000000300000000000066-3-3060000000-3000000000000-6-6330-600000003000000000000
χ4966-3-30-2000000014-2-2000000000-6-633020000000-1-42200000000066-3-30-2000000014-2-2000000000-6-633020000000-1-422000000000
χ5066-3-30-200000001-24-2000000000-6-633020000000-12-4200000000066-3-30-200000001-24-2000000000-6-633020000000-12-42000000000
χ5166-3-30-200000001-2-24000000000-6-633020000000-122-400000000066-3-30-200000001-2-24000000000-6-633020000000-122-4000000000
χ5212-12-660000000000000000000000-12126-6000000000000000000000012-12-660000000000000000000000-12126-60000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1
χ55111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1
χ561111111-1-1111111111111-1-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ571111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1111+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-1-1111+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321
χ581111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1111−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-1-1111−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321
χ592222-12-10022222-1-1-1-1-1-1-1000002222-12-10022222-1-1-1-1-1-1-100000-2-2-2-21-2100-2-2-2-2-2111111100000-2-2-2-21-2100-2-2-2-2-2111111100000
χ602222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i32000002222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-21-21001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000-2-2-2-21-21001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000
χ612222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i32000002222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-21-21001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000-2-2-2-21-21001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000
χ622-22-220-22i−2i-1-1110000-1-111i−ii−i02-22-220-22i−2i-1-1110000-1-111i−ii−i0-22-22-202−2i2i11-1-1000011-1-1−ii−ii0-22-22-202−2i2i11-1-1000011-1-1−ii−ii0
χ632-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ702-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70-22-22-202−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ70-22-22-202−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ70
χ642-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1102-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110-22-22-202−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ110-22-22-202−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ110
χ652-22-220-2−2i2i-1-1110000-1-111−ii−ii02-22-220-2−2i2i-1-1110000-1-111−ii−ii0-22-22-2022i−2i11-1-1000011-1-1i−ii−i0-22-22-2022i−2i11-1-1000011-1-1i−ii−i0
χ662-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ702-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70-22-22-2022i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ70-22-22-2022i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ70
χ672-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1102-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110-22-22-2022i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ110-22-22-2022i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ110
χ6833333-13330000-1-1-1-100000000-133333-13330000-1-1-1-100000000-1-3-3-3-3-31-3-3-300001111000000001-3-3-3-3-31-3-3-300001111000000001
χ6933333-13-3-30000-1-1-1-100000000133333-13-3-30000-1-1-1-1000000001-3-3-3-3-31-3330000111100000000-1-3-3-3-3-31-3330000111100000000-1
χ704-44-4-20200-2-222000011-1-1000004-44-4-20200-2-222000011-1-100000-44-4420-20022-2-20000-1-11100000-44-4420-20022-2-20000-1-11100000
χ714-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4420-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000-44-4420-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000
χ724-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4420-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000-44-4420-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000
χ736666-3-2-3000000-21110000000006666-3-2-3000000-2111000000000-6-6-6-63230000002-1-1-1000000000-6-6-6-63230000002-1-1-1000000000
χ7466-3-3060000000-300000000000066-3-3060000000-3000000000000-6-6330-600000003000000000000-6-6330-600000003000000000000
χ7566-3-30-2000000014-2-200000000066-3-30-2000000014-2-2000000000-6-633020000000-1-422000000000-6-633020000000-1-422000000000
χ7666-3-30-200000001-24-200000000066-3-30-200000001-24-2000000000-6-633020000000-12-42000000000-6-633020000000-12-42000000000
χ7766-3-30-200000001-2-2400000000066-3-30-200000001-2-24000000000-6-633020000000-122-4000000000-6-633020000000-122-4000000000
χ7812-12-66000000000000000000000012-12-660000000000000000000000-12126-60000000000000000000000-12126-60000000000000000000000
χ7911111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111
χ80111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321
χ81111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321
χ821111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1
χ831111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1111+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-1-1111+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i3211111111-1-1−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1
χ841111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1111−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-1-1111−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i3211111111-1-1−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1
χ852222-12-10022222-1-1-1-1-1-1-100000-2-2-2-21-2100-2-2-2-2-2111111100000-2-2-2-21-2100-2-2-2-2-21111111000002222-12-10022222-1-1-1-1-1-1-100000
χ862222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-21-21001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000-2-2-2-21-21001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i32000002222-12-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000
χ872222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-21-21001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000-2-2-2-21-21001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i32000002222-12-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000
χ882-22-220-22i−2i-1-1110000-1-111i−ii−i0-22-22-202−2i2i11-1-1000011-1-1−ii−ii0-22-22-202−2i2i11-1-1000011-1-1−ii−ii02-22-220-22i−2i-1-1110000-1-111i−ii−i0
χ892-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70-22-22-202−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ70-22-22-202−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ702-22-220-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70
χ902-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110-22-22-202−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ110-22-22-202−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1102-22-220-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110
χ912-22-220-2−2i2i-1-1110000-1-111−ii−ii0-22-22-2022i−2i11-1-1000011-1-1i−ii−i0-22-22-2022i−2i11-1-1000011-1-1i−ii−i02-22-220-2−2i2i-1-1110000-1-111−ii−ii0
χ922-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70-22-22-2022i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ70-22-22-2022i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ702-22-220-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70
χ932-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110-22-22-2022i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ110-22-22-2022i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1102-22-220-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110
χ9433333-13330000-1-1-1-100000000-1-3-3-3-3-31-3-3-300001111000000001-3-3-3-3-31-3-3-30000111100000000133333-13330000-1-1-1-100000000-1
χ9533333-13-3-30000-1-1-1-1000000001-3-3-3-3-31-3330000111100000000-1-3-3-3-3-31-3330000111100000000-133333-13-3-30000-1-1-1-1000000001
χ964-44-4-20200-2-222000011-1-100000-44-4420-20022-2-20000-1-11100000-44-4420-20022-2-20000-1-111000004-44-4-20200-2-222000011-1-100000
χ974-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4420-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000-44-4420-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i32000004-44-4-202001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000
χ984-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4420-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000-44-4420-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i32000004-44-4-202001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000
χ996666-3-2-3000000-2111000000000-6-6-6-63230000002-1-1-1000000000-6-6-6-63230000002-1-1-10000000006666-3-2-3000000-2111000000000
χ10066-3-3060000000-3000000000000-6-6330-600000003000000000000-6-6330-60000000300000000000066-3-3060000000-3000000000000
χ10166-3-30-2000000014-2-2000000000-6-633020000000-1-422000000000-6-633020000000-1-42200000000066-3-30-2000000014-2-2000000000
χ10266-3-30-200000001-24-2000000000-6-633020000000-12-42000000000-6-633020000000-12-4200000000066-3-30-200000001-24-2000000000
χ10366-3-30-200000001-2-24000000000-6-633020000000-122-4000000000-6-633020000000-122-400000000066-3-30-200000001-2-24000000000
χ10412-12-660000000000000000000000-12126-60000000000000000000000-12126-6000000000000000000000012-12-660000000000000000000000

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