Finite Group Databasebeta

← Group #13180889

Character table — Group #13180889

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122334444688881212121212182244668888121616161624242424243633669912121212182424242436363636365411223344446888812121212121822446688881216161616242424242436336699121212121824242424363636363654
order123644336643366121212121223636121233661233661212121212622664466664666612121212122226644666646666121212121226666121266661266661212121212622664466664666612121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321
χ3111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321
χ41111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-1
χ51111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1
χ61111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-1
χ722-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-100000
χ822-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-100000
χ922-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-100000
χ102-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i0
χ112-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ70
χ122-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ110
χ132-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii0
χ142-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ70
χ152-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ110
χ163333330000-10000-10000-13333330000-10000-10000-13333330000-10000-10000-13333330000-10000-10000-13333330000-10000-10000-13333330000-10000-10000-1
χ173333-3-30000-10000-1000013333-3-30000-10000-1000013333-3-30000-10000-1000013333-3-30000-10000-1000013333-3-30000-10000-1000013333-3-30000-10000-100001
χ184-4-2200-2-222011-1-10000004-4-2200-2-222011-1-10000004-4-2200-2-222011-1-10000004-4-2200-2-222011-1-10000004-4-2200-2-222011-1-10000004-4-2200-2-222011-1-1000000
χ194-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32000000
χ204-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32000000
χ2166-3-3000000-2000010000066-3-3000000-2000010000066-3-3000000-2000010000066-3-3000000-2000010000066-3-3000000-2000010000066-3-3000000-20000100000
χ22111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ23111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-11+i321+i321−i321−i32-1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-11+i321+i321−i321−i32-1
χ24111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-11−i321−i321+i321+i32-1111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-11−i321−i321+i321+i32-1
χ251111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111
χ261111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1-1-1-1-1111+i321−i321+i321−i32-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i32−1+i3211111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1-1-1-1-1111+i321−i321+i321−i32-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i32−1+i321
χ271111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1-1-1-1111−i321+i321−i321+i32-11−i321+i321−i321+i32-1−1+i32−1+i32−1−i32−1−i3211111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1-1-1-1111−i321+i321−i321+i32-11−i321+i321−i321+i32-1−1+i32−1+i32−1−i32−1−i321
χ2822-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-100000-2-21100-2-2-2-2-2111110000022-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-100000-2-21100-2-2-2-2-21111100000
χ2922-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-100000-2-211001+i31−i31+i31−i3-2−1−i32−1+i32−1−i32−1+i3210000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-100000-2-211001+i31−i31+i31−i3-2−1−i32−1+i32−1−i32−1+i32100000
χ3022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-100000-2-211001−i31+i31−i31+i3-2−1+i32−1−i32−1+i32−1−i3210000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-100000-2-211001−i31+i31−i31+i3-2−1+i32−1−i32−1+i32−1−i32100000
χ312-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i0-22-22−2i2i11-1-1011-1-10−ii−ii02-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i0-22-22−2i2i11-1-1011-1-10−ii−ii0
χ322-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ70-22-22−2i2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320−ζ11ζ11−ζ7ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ70-22-22−2i2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320−ζ11ζ11−ζ7ζ70
χ332-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ110-22-22−2i2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320−ζ7ζ7−ζ11ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ110-22-22−2i2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320−ζ7ζ7−ζ11ζ110
χ342-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii0-22-222i−2i11-1-1011-1-10i−ii−i02-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii0-22-222i−2i11-1-1011-1-10i−ii−i0
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χ762-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii0-22-222i−2i11-1-1011-1-10i−ii−i0-22-222i−2i11-1-1011-1-10i−ii−i0-22-222i−2i11-1-1011-1-10i−ii−i0
χ772-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ70
χ782-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ110
χ793333330000-10000-10000-13333330000-10000-10000-13333330000-10000-10000-1-3-3-3-3-3-3000010000100001-3-3-3-3-3-3000010000100001-3-3-3-3-3-3000010000100001
χ803333-3-30000-10000-1000013333-3-30000-10000-1000013333-3-30000-10000-100001-3-3-3-33300001000010000-1-3-3-3-33300001000010000-1-3-3-3-33300001000010000-1
χ814-4-2200-2-222011-1-10000004-4-2200-2-222011-1-10000004-4-2200-2-222011-1-1000000-442-20022-2-20-1-111000000-442-20022-2-20-1-111000000-442-20022-2-20-1-111000000
χ824-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i32000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i32000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i32000000
χ834-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i32000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i32000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i32000000
χ8466-3-3000000-2000010000066-3-3000000-2000010000066-3-3000000-20000100000-6-63300000020000-100000-6-63300000020000-100000-6-63300000020000-100000
χ85111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111
χ86111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-11+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-11+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-11+i321+i321−i321−i32-1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321
χ87111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-11−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-11−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-11−i321−i321+i321+i32-1111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321
χ881111-1-11111111111-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111-1-1-1-1-1
χ891111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-11111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1-1-1-1-1111+i321−i321+i321−i32-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i32−1+i321-1-1-1-1111+i321−i321+i321−i32-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i32−1+i321-1-1-1-1111+i321−i321+i321−i32-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i32−1+i3211111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1
χ901111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-11111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1-1-1-1111−i321+i321−i321+i32-11−i321+i321−i321+i32-1−1+i32−1+i32−1−i32−1−i321-1-1-1-1111−i321+i321−i321+i32-11−i321+i321−i321+i32-1−1+i32−1+i32−1−i32−1−i321-1-1-1-1111−i321+i321−i321+i32-11−i321+i321−i321+i32-1−1+i32−1+i32−1−i32−1−i3211111-1-1−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-1
χ9122-1-10022222-1-1-1-1-10000022-1-10022222-1-1-1-1-100000-2-21100-2-2-2-2-21111100000-2-21100-2-2-2-2-21111100000-2-21100-2-2-2-2-2111110000022-1-10022222-1-1-1-1-100000
χ9222-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-10000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-100000-2-211001+i31−i31+i31−i3-2−1−i32−1+i32−1−i32−1+i32100000-2-211001+i31−i31+i31−i3-2−1−i32−1+i32−1−i32−1+i32100000-2-211001+i31−i31+i31−i3-2−1−i32−1+i32−1−i32−1+i3210000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-100000
χ9322-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-10000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-100000-2-211001−i31+i31−i31+i3-2−1+i32−1−i32−1+i32−1−i32100000-2-211001−i31+i31−i31+i3-2−1+i32−1−i32−1+i32−1−i32100000-2-211001−i31+i31−i31+i3-2−1+i32−1−i32−1+i32−1−i3210000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-100000
χ942-22-22i−2i-1-1110-1-1110i−ii−i02-22-22i−2i-1-1110-1-1110i−ii−i0-22-22−2i2i11-1-1011-1-10−ii−ii0-22-22−2i2i11-1-1011-1-10−ii−ii0-22-22−2i2i11-1-1011-1-10−ii−ii02-22-22i−2i-1-1110-1-1110i−ii−i0
χ952-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ70-22-22−2i2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320−ζ11ζ11−ζ7ζ70-22-22−2i2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320−ζ11ζ11−ζ7ζ70-22-22−2i2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320−ζ11ζ11−ζ7ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ70
χ962-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ110-22-22−2i2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320−ζ7ζ7−ζ11ζ110-22-22−2i2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320−ζ7ζ7−ζ11ζ110-22-22−2i2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320−ζ7ζ7−ζ11ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ110
χ972-22-2−2i2i-1-1110-1-1110−ii−ii02-22-2−2i2i-1-1110-1-1110−ii−ii0-22-222i−2i11-1-1011-1-10i−ii−i0-22-222i−2i11-1-1011-1-10i−ii−i0-22-222i−2i11-1-1011-1-10i−ii−i02-22-2−2i2i-1-1110-1-1110−ii−ii0
χ982-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ70
χ992-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ110
χ1003333330000-10000-10000-13333330000-10000-10000-1-3-3-3-3-3-3000010000100001-3-3-3-3-3-3000010000100001-3-3-3-3-3-30000100001000013333330000-10000-10000-1
χ1013333-3-30000-10000-1000013333-3-30000-10000-100001-3-3-3-33300001000010000-1-3-3-3-33300001000010000-1-3-3-3-33300001000010000-13333-3-30000-10000-100001
χ1024-4-2200-2-222011-1-10000004-4-2200-2-222011-1-1000000-442-20022-2-20-1-111000000-442-20022-2-20-1-111000000-442-20022-2-20-1-1110000004-4-2200-2-222011-1-1000000
χ1034-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i32000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i32000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i320000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32000000
χ1044-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i32000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i32000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i320000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32000000
χ10566-3-3000000-2000010000066-3-3000000-20000100000-6-63300000020000-100000-6-63300000020000-100000-6-63300000020000-10000066-3-3000000-20000100000
χ106222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111000000000000000000000
χ107222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1−i3−1−i3−1+i3−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-11+i321−i321+i321−i32-11+i321+i321−i321−i32-1000000000000000000000-2-2-2-2-2-21+i31−i31+i31−i3-21+i31−i31+i31−i3-21+i31+i31−i31−i3-2111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321000000000000000000000
χ108222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1+i3−1−i3−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-11−i321+i321−i321+i32-11−i321−i321+i321+i32-1000000000000000000000-2-2-2-2-2-21−i31+i31−i31+i3-21−i31+i31−i31+i3-21−i31−i31+i31+i3-2111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321000000000000000000000
χ1092222-2-22222222222-2-2-2-2-2-1-1-1-111-1-1-1-1-1-1-1-1-1-111111000000000000000000000-2-2-2-222-2-2-2-2-2-2-2-2-2-2222221111-1-11111111111-1-1-1-1-1000000000000000000000
χ1102222-2-2−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i321+i31+i31−i31−i3-2-1-1-1-1111+i321−i321+i321−i32-11+i321−i321+i321−i32-1−1−i32−1−i32−1+i32−1+i321000000000000000000000-2-2-2-2221+i31−i31+i31−i3-21+i31−i31+i31−i3-2−1−i3−1−i3−1+i3−1+i321111-1-1−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1000000000000000000000
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χ11244-2-20044444-2-2-2-2-200000-2-21100-2-2-2-2-21111100000000000000000000000000-4-42200-4-4-4-4-4222220000022-1-10022222-1-1-1-1-100000000000000000000000000
χ11344-2-200−2−2i3−2+2i3−2−2i3−2+2i341+i31−i31+i31−i3-200000-2-211001+i31−i31+i31−i3-2−1−i32−1+i32−1−i32−1+i32100000000000000000000000000-4-422002+2i32−2i32+2i32−2i3-4−1−i3−1+i3−1−i3−1+i320000022-1-100−1−i3−1+i3−1−i3−1+i321+i321−i321+i321−i32-100000000000000000000000000
χ11444-2-200−2+2i3−2−2i3−2+2i3−2−2i341−i31+i31−i31+i3-200000-2-211001−i31+i31−i31+i3-2−1+i32−1−i32−1+i32−1−i32100000000000000000000000000-4-422002−2i32+2i32−2i32+2i3-4−1+i3−1−i3−1+i3−1−i320000022-1-100−1+i3−1−i3−1+i3−1−i321−i321+i321−i321+i32-100000000000000000000000000
χ1154-44-44i−4i-2-2220-2-22202i−2i2i−2i0-22-22−2i2i11-1-1011-1-10−ii−ii0000000000000000000000-44-44−4i4i22-2-2022-2-20−2i2i−2i2i02-22-22i−2i-1-1110-1-1110i−ii−i0000000000000000000000
χ1164-44-44i−4i1+i31−i3−1−i3−1+i301+i31−i3−1−i3−1+i302ζ11−2ζ112ζ7−2ζ70-22-22−2i2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320−ζ11ζ11−ζ7ζ70000000000000000000000-44-44−4i4i−1−i3−1+i31+i31−i30−1−i3−1+i31+i31−i30−2ζ112ζ11−2ζ72ζ702-22-22i−2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320ζ11−ζ11ζ7−ζ70000000000000000000000
χ1174-44-44i−4i1−i31+i3−1+i3−1−i301−i31+i3−1+i3−1−i302ζ7−2ζ72ζ11−2ζ110-22-22−2i2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320−ζ7ζ7−ζ11ζ110000000000000000000000-44-44−4i4i−1+i3−1−i31−i31+i30−1+i3−1−i31−i31+i30−2ζ72ζ7−2ζ112ζ1102-22-22i−2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320ζ7−ζ7ζ11−ζ110000000000000000000000
χ1184-44-4−4i4i-2-2220-2-2220−2i2i−2i2i0-22-222i−2i11-1-1011-1-10i−ii−i0000000000000000000000-44-444i−4i22-2-2022-2-202i−2i2i−2i02-22-2−2i2i-1-1110-1-1110−ii−ii0000000000000000000000
χ1194-44-4−4i4i1+i31−i3−1−i3−1+i301+i31−i3−1−i3−1+i30−2ζ112ζ11−2ζ72ζ70-22-222i−2i−1−i32−1+i321+i321−i320−1−i32−1+i321+i321−i320ζ11−ζ11ζ7−ζ70000000000000000000000-44-444i−4i−1−i3−1+i31+i31−i30−1−i3−1+i31+i31−i302ζ11−2ζ112ζ7−2ζ702-22-2−2i2i1+i321−i32−1−i32−1+i3201+i321−i32−1−i32−1+i320−ζ11ζ11−ζ7ζ70000000000000000000000
χ1204-44-4−4i4i1−i31+i3−1+i3−1−i301−i31+i3−1+i3−1−i30−2ζ72ζ7−2ζ112ζ110-22-222i−2i−1+i32−1−i321−i321+i320−1+i32−1−i321−i321+i320ζ7−ζ7ζ11−ζ110000000000000000000000-44-444i−4i−1+i3−1−i31−i31+i30−1+i3−1−i31−i31+i302ζ7−2ζ72ζ11−2ζ1102-22-2−2i2i1−i321+i32−1+i32−1−i3201−i321+i32−1+i32−1−i320−ζ7ζ7−ζ11ζ110000000000000000000000
χ1216666660000-20000-20000-2-3-3-3-3-3-3000010000100001000000000000000000000-6-6-6-6-6-60000200002000023333330000-10000-10000-1000000000000000000000
χ1226666-6-60000-20000-200002-3-3-3-33300001000010000-1000000000000000000000-6-6-6-66600002000020000-23333-3-30000-10000-100001000000000000000000000
χ1238-8-4400-4-444022-2-2000000-442-20022-2-20-1-111000000000000000000000000000-884-40044-4-40-2-2220000004-4-2200-2-222011-1-1000000000000000000000000000
χ1248-8-44002+2i32−2i3−2−2i3−2+2i30−1−i3−1+i31+i31−i3000000-442-200−1−i3−1+i31+i31−i301+i321−i32−1−i32−1+i32000000000000000000000000000-884-400−2−2i3−2+2i32+2i32−2i301+i31−i3−1−i3−1+i30000004-4-22001+i31−i3−1−i3−1+i30−1−i32−1+i321+i321−i32000000000000000000000000000
χ1258-8-44002−2i32+2i3−2+2i3−2−2i30−1+i3−1−i31−i31+i3000000-442-200−1+i3−1−i31−i31+i301−i321+i32−1+i32−1−i32000000000000000000000000000-884-400−2+2i3−2−2i32−2i32+2i301−i31+i3−1+i3−1−i30000004-4-22001−i31+i3−1+i3−1−i30−1+i32−1−i321−i321+i32000000000000000000000000000
χ1261212-6-6000000-40000200000-6-63300000020000-100000000000000000000000000-12-126600000040000-20000066-3-3000000-20000100000000000000000000000000

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