Finite Group Databasebeta

← Group #13164574

Character table — Group #13164574

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122666991212121212121212242424243636363654112266699121212121212121224242424363636365411226669912121212121212122424242436363636541122666991212121212121212242424243636363654
order1236491844336612363636991818121212122226641818446666123636361818181812121212222664181844666612363636181818181212121222266418184466661236363618181818121212122
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
χ722222-1-10022222-1-1-1-1-1-1-10000022222-1-10022222-1-1-1-1-1-1-10000022222-1-10022222-1-1-1-1-1-1-10000022222-1-10022222-1-1-1-1-1-1-100000
χ822222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i320000022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i320000022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i320000022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000
χ922222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i320000022222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i320000022222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i320000022222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000
χ102-22-202-22i−2i-1-1110000-1-111i−ii−i02-22-202-22i−2i-1-1110000-1-111i−ii−i02-22-202-22i−2i-1-1110000-1-111i−ii−i02-22-202-22i−2i-1-1110000-1-111i−ii−i0
χ112-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ302-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ302-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ302-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ30
χ122-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ1502-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ1502-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ1502-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ150
χ132-22-202-2−2i2i-1-1110000-1-111−ii−ii02-22-202-2−2i2i-1-1110000-1-111−ii−ii02-22-202-2−2i2i-1-1110000-1-111−ii−ii02-22-202-2−2i2i-1-1110000-1-111−ii−ii0
χ142-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ302-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ302-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ302-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ30
χ152-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ1502-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ1502-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ1502-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ150
χ163333-133330000-1-1-1-100000000-13333-133330000-1-1-1-100000000-13333-133330000-1-1-1-100000000-13333-133330000-1-1-1-100000000-1
χ173333-133-3-30000-1-1-1-10000000013333-133-3-30000-1-1-1-10000000013333-133-3-30000-1-1-1-10000000013333-133-3-30000-1-1-1-1000000001
χ184-44-40-2200-2-222000011-1-1000004-44-40-2200-2-222000011-1-1000004-44-40-2200-2-222000011-1-1000004-44-40-2200-2-222000011-1-100000
χ194-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000
χ204-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000
χ216666-2-3-3000000-21110000000006666-2-3-3000000-21110000000006666-2-3-3000000-21110000000006666-2-3-3000000-2111000000000
χ2266-3-3600000000-300000000000066-3-3600000000-300000000000066-3-3600000000-300000000000066-3-3600000000-3000000000000
χ2366-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3400000000066-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3400000000066-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3400000000066-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000
χ2466-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3400000000066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3400000000066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3400000000066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000
χ2566-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2200000000066-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2200000000066-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2200000000066-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000
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
χ3322222-1-10022222-1-1-1-1-1-1-100000-2-2-2-2-21100-2-2-2-2-211111110000022222-1-10022222-1-1-1-1-1-1-100000-2-2-2-2-21100-2-2-2-2-2111111100000
χ3422222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-2-211001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i320000022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-2-211001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000
χ3522222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-2-211001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i320000022222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-2-211001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000
χ362-22-202-22i−2i-1-1110000-1-111i−ii−i0-22-220-22−2i2i11-1-1000011-1-1−ii−ii02-22-202-22i−2i-1-1110000-1-111i−ii−i0-22-220-22−2i2i11-1-1000011-1-1−ii−ii0
χ372-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ30-22-220-22−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ302-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ30-22-220-22−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ30
χ382-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ150-22-220-22−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ1502-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ150-22-220-22−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ150
χ392-22-202-2−2i2i-1-1110000-1-111−ii−ii0-22-220-222i−2i11-1-1000011-1-1i−ii−i02-22-202-2−2i2i-1-1110000-1-111−ii−ii0-22-220-222i−2i11-1-1000011-1-1i−ii−i0
χ402-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ30-22-220-222i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ302-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ30-22-220-222i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ30
χ412-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ150-22-220-222i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ1502-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ150-22-220-222i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ150
χ423333-133330000-1-1-1-100000000-1-3-3-3-31-3-3-3-3000011110000000013333-133330000-1-1-1-100000000-1-3-3-3-31-3-3-3-300001111000000001
χ433333-133-3-30000-1-1-1-1000000001-3-3-3-31-3-3330000111100000000-13333-133-3-30000-1-1-1-1000000001-3-3-3-31-3-3330000111100000000-1
χ444-44-40-2200-2-222000011-1-100000-44-4402-20022-2-20000-1-111000004-44-40-2200-2-222000011-1-100000-44-4402-20022-2-20000-1-11100000
χ454-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4402-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i32000004-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4402-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000
χ464-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4402-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i32000004-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4402-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000
χ476666-2-3-3000000-2111000000000-6-6-6-62330000002-1-1-10000000006666-2-3-3000000-2111000000000-6-6-6-62330000002-1-1-1000000000
χ4866-3-3600000000-3000000000000-6-633-600000000300000000000066-3-3600000000-3000000000000-6-633-6000000003000000000000
χ4966-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000-6-633200000000-1−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3400000000066-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000-6-633200000000-1−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000
χ5066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000-6-633200000000-12ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3400000000066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000-6-633200000000-12ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000
χ5166-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000-6-633200000000-1−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2200000000066-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000-6-633200000000-1−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000
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
χ5922222-1-10022222-1-1-1-1-1-1-10000022222-1-10022222-1-1-1-1-1-1-100000-2-2-2-2-21100-2-2-2-2-2111111100000-2-2-2-2-21100-2-2-2-2-2111111100000
χ6022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i320000022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-2-211001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000-2-2-2-2-211001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000
χ6122222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i320000022222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-2-211001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000-2-2-2-2-211001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000
χ622-22-202-22i−2i-1-1110000-1-111i−ii−i02-22-202-22i−2i-1-1110000-1-111i−ii−i0-22-220-22−2i2i11-1-1000011-1-1−ii−ii0-22-220-22−2i2i11-1-1000011-1-1−ii−ii0
χ632-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ302-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ30-22-220-22−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ30-22-220-22−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ30
χ642-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ1502-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ150-22-220-22−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ150-22-220-22−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ150
χ652-22-202-2−2i2i-1-1110000-1-111−ii−ii02-22-202-2−2i2i-1-1110000-1-111−ii−ii0-22-220-222i−2i11-1-1000011-1-1i−ii−i0-22-220-222i−2i11-1-1000011-1-1i−ii−i0
χ662-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ302-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ30-22-220-222i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ30-22-220-222i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ30
χ672-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ1502-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ150-22-220-222i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ150-22-220-222i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ150
χ683333-133330000-1-1-1-100000000-13333-133330000-1-1-1-100000000-1-3-3-3-31-3-3-3-300001111000000001-3-3-3-31-3-3-3-300001111000000001
χ693333-133-3-30000-1-1-1-10000000013333-133-3-30000-1-1-1-1000000001-3-3-3-31-3-3330000111100000000-1-3-3-3-31-3-3330000111100000000-1
χ704-44-40-2200-2-222000011-1-1000004-44-40-2200-2-222000011-1-100000-44-4402-20022-2-20000-1-11100000-44-4402-20022-2-20000-1-11100000
χ714-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i32000004-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4402-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000-44-4402-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000
χ724-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i32000004-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4402-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000-44-4402-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000
χ736666-2-3-3000000-21110000000006666-2-3-3000000-2111000000000-6-6-6-62330000002-1-1-1000000000-6-6-6-62330000002-1-1-1000000000
χ7466-3-3600000000-300000000000066-3-3600000000-3000000000000-6-633-6000000003000000000000-6-633-6000000003000000000000
χ7566-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3400000000066-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000-6-633200000000-1−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000-6-633200000000-1−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000
χ7666-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3400000000066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000-6-633200000000-12ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000-6-633200000000-12ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000
χ7766-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2200000000066-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000-6-633200000000-1−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000-6-633200000000-1−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000
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
χ8522222-1-10022222-1-1-1-1-1-1-100000-2-2-2-2-21100-2-2-2-2-2111111100000-2-2-2-2-21100-2-2-2-2-211111110000022222-1-10022222-1-1-1-1-1-1-100000
χ8622222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000-2-2-2-2-211001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i3200000-2-2-2-2-211001+i31−i31+i31−i3-2111−1−i32−1+i32−1−i32−1+i320000022222-1-100−1−i3−1+i3−1−i3−1+i32-1-1-11+i321−i321+i321−i3200000
χ8722222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000-2-2-2-2-211001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i3200000-2-2-2-2-211001−i31+i31−i31+i3-2111−1+i32−1−i32−1+i32−1−i320000022222-1-100−1+i3−1−i3−1+i3−1−i32-1-1-11−i321+i321−i321+i3200000
χ882-22-202-22i−2i-1-1110000-1-111i−ii−i0-22-220-22−2i2i11-1-1000011-1-1−ii−ii0-22-220-22−2i2i11-1-1000011-1-1−ii−ii02-22-202-22i−2i-1-1110000-1-111i−ii−i0
χ892-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ30-22-220-22−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ30-22-220-22−2i2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ302-22-202-22i−2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ30
χ902-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ150-22-220-22−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ150-22-220-22−2i2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ1502-22-202-22i−2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ150
χ912-22-202-2−2i2i-1-1110000-1-111−ii−ii0-22-220-222i−2i11-1-1000011-1-1i−ii−i0-22-220-222i−2i11-1-1000011-1-1i−ii−i02-22-202-2−2i2i-1-1110000-1-111−ii−ii0
χ922-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ30-22-220-222i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ30-22-220-222i−2i−1−i32−1+i321+i321−i320000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ302-22-202-2−2i2i1+i321−i32−1−i32−1+i3200001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ30
χ932-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ150-22-220-222i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ150-22-220-222i−2i−1+i32−1−i321−i321+i320000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ1502-22-202-2−2i2i1−i321+i32−1+i32−1−i3200001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ150
χ943333-133330000-1-1-1-100000000-1-3-3-3-31-3-3-3-300001111000000001-3-3-3-31-3-3-3-3000011110000000013333-133330000-1-1-1-100000000-1
χ953333-133-3-30000-1-1-1-1000000001-3-3-3-31-3-3330000111100000000-1-3-3-3-31-3-3330000111100000000-13333-133-3-30000-1-1-1-1000000001
χ964-44-40-2200-2-222000011-1-100000-44-4402-20022-2-20000-1-11100000-44-4402-20022-2-20000-1-111000004-44-40-2200-2-222000011-1-100000
χ974-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000-44-4402-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i3200000-44-4402-200−1−i3−1+i31+i31−i300001+i321−i32−1−i32−1+i32000004-44-40-22001+i31−i3−1−i3−1+i30000−1−i32−1+i321+i321−i3200000
χ984-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000-44-4402-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i3200000-44-4402-200−1+i3−1−i31−i31+i300001−i321+i32−1+i32−1−i32000004-44-40-22001−i31+i3−1+i3−1−i30000−1+i32−1−i321−i321+i3200000
χ996666-2-3-3000000-2111000000000-6-6-6-62330000002-1-1-1000000000-6-6-6-62330000002-1-1-10000000006666-2-3-3000000-2111000000000
χ10066-3-3600000000-3000000000000-6-633-6000000003000000000000-6-633-600000000300000000000066-3-3600000000-3000000000000
χ10166-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000-6-633200000000-1−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000-6-633200000000-1−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3400000000066-3-3-20000000012ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000
χ10266-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000-6-633200000000-12ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000-6-633200000000-12ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3400000000066-3-3-2000000001−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000
χ10366-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000-6-633200000000-1−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000-6-633200000000-1−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2200000000066-3-3-20000000012ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000
χ10412-12-660000000000000000000000-12126-60000000000000000000000-12126-6000000000000000000000012-12-660000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.