Finite Group Databasebeta

← Group #72231351

Character table — Group #72231351

Order 7200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size134488812122424252525303030303232323232327575751201201201201501501501502002002001344888121224242525253030303032323232323275757512012012012015015015015020020020013448881212242425252530303030323232323232757575120120120120150150150150200200200
order1255355101010102442244151515151515244101020204444612123615153151530303030612126612121515151515156121230306060121212126121236151531515303030306121266121215151515151561212303060601212121261212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111
χ3111111111111-1-111111111111-1-11111-1-1-1-11-1-1111111111111-1-111111111111-1-11111-1-1-1-11-1-1111111111111-1-111111111111-1-11111-1-1-1-11-1-1
χ4111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1
χ511111111111-1i−i1-11-1111111-1i−i1-11-1i−ii−i-1i−i11111111111-1i−i1-11-1111111-1i−i1-11-1i−ii−i-1i−i11111111111-1i−i1-11-1111111-1i−i1-11-1i−ii−i-1i−i
χ611111111111-1i−i-11-11111111-1i−i-11-11−ii−ii-1i−i11111111111-1i−i-11-11111111-1i−i-11-11−ii−ii-1i−i11111111111-1i−i-11-11111111-1i−i-11-11−ii−ii-1i−i
χ711111111111-1−ii1-11-1111111-1−ii1-11-1−ii−ii-1−ii11111111111-1−ii1-11-1111111-1−ii1-11-1−ii−ii-1−ii11111111111-1−ii1-11-1111111-1−ii1-11-1−ii−ii-1−ii
χ811111111111-1−ii-11-11111111-1−ii-11-11i−ii−i-1−ii11111111111-1−ii-11-11111111-1−ii-11-11i−ii−i-1−ii11111111111-1−ii-11-11111111-1−ii-11-11i−ii−i-1−ii
χ92222-12222222220000-1-1-1-1-1-122200000000-1-1-12222-12222222220000-1-1-1-1-1-122200000000-1-1-12222-12222222220000-1-1-1-1-1-122200000000-1-1-1
χ102222-12222222-2-20000-1-1-1-1-1-12-2-200000000-1112222-12222222-2-20000-1-1-1-1-1-12-2-200000000-1112222-12222222-2-20000-1-1-1-1-1-12-2-200000000-111
χ112222-1222222-22i−2i0000-1-1-1-1-1-1-22i−2i000000001−ii2222-1222222-22i−2i0000-1-1-1-1-1-1-22i−2i000000001−ii2222-1222222-22i−2i0000-1-1-1-1-1-1-22i−2i000000001−ii
χ122222-1222222-2−2i2i0000-1-1-1-1-1-1-2−2i2i000000001i−i2222-1222222-2−2i2i0000-1-1-1-1-1-1-2−2i2i000000001i−i2222-1222222-2−2i2i0000-1-1-1-1-1-1-2−2i2i000000001i−i
χ133-133033-1-1-1-133311-1-1000000-1-1-111-1-111-1-10003-133033-1-1-1-133311-1-1000000-1-1-111-1-111-1-10003-133033-1-1-1-133311-1-1000000-1-1-111-1-111-1-1000
χ143-133033-1-1-1-1333-1-111000000-1-1-1-1-111-1-1110003-133033-1-1-1-1333-1-111000000-1-1-1-1-111-1-1110003-133033-1-1-1-1333-1-111000000-1-1-1-1-111-1-111000
χ153-133033-1-1-1-13-3-311-1-1000000-11111-1-1-1-1110003-133033-1-1-1-13-3-311-1-1000000-11111-1-1-1-1110003-133033-1-1-1-13-3-311-1-1000000-11111-1-1-1-111000
χ163-133033-1-1-1-13-3-3-1-111000000-111-1-11111-1-10003-133033-1-1-1-13-3-3-1-111000000-111-1-11111-1-10003-133033-1-1-1-13-3-3-1-111000000-111-1-11111-1-1000
χ173-133033-1-1-1-1-33i−3i1-1-110000001−ii1-1-11i−i−ii0003-133033-1-1-1-1-33i−3i1-1-110000001−ii1-1-11i−i−ii0003-133033-1-1-1-1-33i−3i1-1-110000001−ii1-1-11i−i−ii000
χ183-133033-1-1-1-1-33i−3i-111-10000001−ii-111-1−iii−i0003-133033-1-1-1-1-33i−3i-111-10000001−ii-111-1−iii−i0003-133033-1-1-1-1-33i−3i-111-10000001−ii-111-1−iii−i000
χ193-133033-1-1-1-1-3−3i3i1-1-110000001i−i1-1-11−iii−i0003-133033-1-1-1-1-3−3i3i1-1-110000001i−i1-1-11−iii−i0003-133033-1-1-1-1-3−3i3i1-1-110000001i−i1-1-11−iii−i000
χ203-133033-1-1-1-1-3−3i3i-111-10000001i−i-111-1i−i−ii0003-133033-1-1-1-1-3−3i3i-111-10000001i−i-111-1i−i−ii0003-133033-1-1-1-1-3−3i3i-111-10000001i−i-111-1i−i−ii000
χ21444-14-1-14-1-1-100004044-1-1-1-1-10000-10-10000000444-14-1-14-1-1-100004044-1-1-1-1-10000-10-10000000444-14-1-14-1-1-100004044-1-1-1-1-10000-10-10000000
χ22444-14-1-14-1-1-10000-40-44-1-1-1-1-100001010000000444-14-1-14-1-1-10000-40-44-1-1-1-1-100001010000000444-14-1-14-1-1-10000-40-44-1-1-1-1-100001010000000
χ2344-144-1-1-14-1-10004040-14-1-1-1-1000-10-10000000044-144-1-1-14-1-10004040-14-1-1-1-1000-10-10000000044-144-1-1-14-1-10004040-14-1-1-1-1000-10-100000000
χ2444-144-1-1-14-1-1000-40-40-14-1-1-1-10001010000000044-144-1-1-14-1-1000-40-40-14-1-1-1-10001010000000044-144-1-1-14-1-1000-40-40-14-1-1-1-100010100000000
χ25888-2-4-2-28-2-2-20000000-41111100000000000000888-2-4-2-28-2-2-20000000-41111100000000000000888-2-4-2-28-2-2-20000000-41111100000000000000
χ2688-28-4-2-2-28-2-200000001-411110000000000000088-28-4-2-2-28-2-200000001-411110000000000000088-28-4-2-2-28-2-200000001-4111100000000000000
χ2788-2-283-2-2-23-20000000-2-233-2-20000000000000088-2-283-2-2-23-20000000-2-233-2-20000000000000088-2-283-2-2-23-20000000-2-233-2-200000000000000
χ2888-2-28-23-2-2-230000000-2-2-2-2330000000000000088-2-28-23-2-2-230000000-2-2-2-2330000000000000088-2-28-23-2-2-230000000-2-2-2-23300000000000000
χ2988-2-2-43-2-2-23-2000000011−3−5i32−3+5i32110000000000000088-2-2-43-2-2-23-2000000011−3−5i32−3+5i32110000000000000088-2-2-43-2-2-23-2000000011−3−5i32−3+5i321100000000000000
χ3088-2-2-43-2-2-23-2000000011−3+5i32−3−5i32110000000000000088-2-2-43-2-2-23-2000000011−3+5i32−3−5i32110000000000000088-2-2-43-2-2-23-2000000011−3+5i32−3−5i321100000000000000
χ3188-2-2-4-23-2-2-2300000001111−3−5i32−3+5i320000000000000088-2-2-4-23-2-2-2300000001111−3−5i32−3+5i320000000000000088-2-2-4-23-2-2-2300000001111−3−5i32−3+5i3200000000000000
χ3288-2-2-4-23-2-2-2300000001111−3+5i32−3−5i320000000000000088-2-2-4-23-2-2-2300000001111−3+5i32−3−5i320000000000000088-2-2-4-23-2-2-2300000001111−3+5i32−3−5i3200000000000000
χ3312-412-30-3-3-4111000040-40000000000-101000000012-412-30-3-3-4111000040-40000000000-101000000012-412-30-3-3-4111000040-40000000000-1010000000
χ3412-412-30-3-3-41110000-404000000000010-1000000012-412-30-3-3-41110000-404000000000010-1000000012-412-30-3-3-41110000-404000000000010-10000000
χ3512-4-3120-3-31-41100040-40000000000-1010000000012-4-3120-3-31-41100040-40000000000-1010000000012-4-3120-3-31-41100040-40000000000-10100000000
χ3612-4-3120-3-31-411000-404000000000010-10000000012-4-3120-3-31-411000-404000000000010-10000000012-4-3120-3-31-411000-404000000000010-100000000
χ3724-8-6-609-622-3200000000000000000000000000024-8-6-609-622-3200000000000000000000000000024-8-6-609-622-32000000000000000000000000000
χ3824-8-6-60-69222-300000000000000000000000000024-8-6-60-69222-300000000000000000000000000024-8-6-60-69222-3000000000000000000000000000
χ3911111111111111111111111111111111111111−1+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−i32−1−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
χ4011111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111−1+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−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−i32−1−i321+i321+i321+i321+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
χ41111111111111-1-111111111111-1-11111-1-1-1-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32
χ42111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4311111111111-1i−i1-11-1111111-1i−i1-11-1i−ii−i-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i32ζ11−ζ11
χ4411111111111-1i−i-11-11111111-1i−i-11-11−ii−ii-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71−i32ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111+i32ζ11−ζ11
χ4511111111111-1−ii1-11-1111111-1−ii1-11-1−ii−ii-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i32−ζ11ζ11
χ4611111111111-1−ii-11-11111111-1−ii-11-11i−ii−i-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−ζ11ζ11
χ472222-12222222220000-1-1-1-1-1-122200000000-1-1-1−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000001−i321−i321−i32−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000001+i321+i321+i32
χ482222-12222222-2-20000-1-1-1-1-1-12-2-200000000-111−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i321−i321−i321−i321−i321−i32−1+i31−i31−i3000000001−i32−1+i32−1+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i321+i321+i321+i321+i321+i32−1−i31+i31+i3000000001+i32−1−i32−1−i32
χ492222-1222222-22i−2i0000-1-1-1-1-1-1-22i−2i000000001−ii−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32ζ7−2ζ700001−i321−i321−i321−i321−i321−i321−i32ζ7−2ζ700000000−1+i32−ζ7ζ7−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32ζ11−2ζ1100001+i321+i321+i321+i321+i321+i321+i32ζ11−2ζ1100000000−1−i32−ζ11ζ11
χ502222-1222222-2−2i2i0000-1-1-1-1-1-1-2−2i2i000000001i−i−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−2ζ72ζ700001−i321−i321−i321−i321−i321−i321−i3−2ζ72ζ700000000−1+i32ζ7−ζ7−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−2ζ112ζ1100001+i321+i321+i321+i321+i321+i321+i3−2ζ112ζ1100000000−1−i32ζ11−ζ11
χ513-133033-1-1-1-133311-1-1000000-1-1-111-1-111-1-1000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−1+i32−1+i321−i321−i320000001−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−1−i32−1−i321+i321+i320000001+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000
χ523-133033-1-1-1-1333-1-111000000-1-1-1-1-111-1-111000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i320000001−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i320000001+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000
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χ8411111111111-1−ii-11-11111111-1−ii-11-11i−ii−i-1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−ζ7ζ7
χ852222-12222222220000-1-1-1-1-1-122200000000-1-1-1−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000001+i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000001−i321−i321−i32
χ862222-12222222-2-20000-1-1-1-1-1-12-2-200000000-111−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i321+i321+i321+i321+i321+i32−1−i31+i31+i3000000001+i32−1−i32−1−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i321−i321−i321−i321−i321−i32−1+i31−i31−i3000000001−i32−1+i32−1+i32
χ872222-1222222-22i−2i0000-1-1-1-1-1-1-22i−2i000000001−ii−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32ζ11−2ζ1100001+i321+i321+i321+i321+i321+i321+i32ζ11−2ζ1100000000−1−i32−ζ11ζ11−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32ζ7−2ζ700001−i321−i321−i321−i321−i321−i321−i32ζ7−2ζ700000000−1+i32−ζ7ζ7
χ882222-1222222-2−2i2i0000-1-1-1-1-1-1-2−2i2i000000001i−i−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−2ζ112ζ1100001+i321+i321+i321+i321+i321+i321+i3−2ζ112ζ1100000000−1−i32ζ11−ζ11−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−2ζ72ζ700001−i321−i321−i321−i321−i321−i321−i3−2ζ72ζ700000000−1+i32ζ7−ζ7
χ893-133033-1-1-1-133311-1-1000000-1-1-111-1-111-1-1000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i32−1−i32−1−i321+i321+i320000001+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i32−1+i32−1+i321−i321−i320000001−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000
χ903-133033-1-1-1-1333-1-111000000-1-1-1-1-111-1-111000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i320000001+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i320000001−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000
χ913-133033-1-1-1-13-3-311-1-1000000-11111-1-1-1-111000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i32−3−3i323+3i323+3i32−1−i32−1−i321+i321+i320000001+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i32−3+3i323−3i323−3i32−1+i32−1+i321−i321−i320000001−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000
χ923-133033-1-1-1-13-3-3-1-111000000-111-1-11111-1-1000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i320000001+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i320000001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000
χ933-133033-1-1-1-1-33i−3i1-1-110000001−ii1-1-11i−i−ii000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i323+3i323ζ11−3ζ11−1−i321+i321+i32−1−i32000000−1−i32−ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i323−3i323ζ7−3ζ7−1+i321−i321−i32−1+i32000000−1+i32−ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7000
χ943-133033-1-1-1-1-33i−3i-111-10000001−ii-111-1−iii−i000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i323+3i323ζ11−3ζ111+i32−1−i32−1−i321+i32000000−1−i32−ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i323−3i323ζ7−3ζ71−i32−1+i32−1+i321−i32000000−1+i32−ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7000
χ953-133033-1-1-1-1-3−3i3i1-1-110000001i−i1-1-11−iii−i000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i323+3i32−3ζ113ζ11−1−i321+i321+i32−1−i32000000−1−i32ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i323−3i32−3ζ73ζ7−1+i321−i321−i32−1+i32000000−1+i32ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7000
χ963-133033-1-1-1-1-3−3i3i-111-10000001i−i-111-1i−i−ii000−3−3i321+i32−3−3i32−3−3i320−3−3i32−3−3i321+i321+i321+i321+i323+3i32−3ζ113ζ111+i32−1−i32−1−i321+i32000000−1−i32ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11000−3+3i321−i32−3+3i32−3+3i320−3+3i32−3+3i321−i321−i321−i321−i323−3i32−3ζ73ζ71−i32−1+i32−1+i321−i32000000−1+i32ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7000
χ97444-14-1-14-1-1-100004044-1-1-1-1-10000-10-10000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i32−2−2i31+i321+i321+i320000−2−2i30−2−2i3−2−2i31+i321+i321+i321+i321+i3200001+i3201+i320000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i32−2+2i31−i321−i321−i320000−2+2i30−2+2i3−2+2i31−i321−i321−i321−i321−i3200001−i3201−i320000000
χ98444-14-1-14-1-1-10000-40-44-1-1-1-1-100001010000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i32−2−2i31+i321+i321+i3200002+2i302+2i3−2−2i31+i321+i321+i321+i321+i320000−1−i320−1−i320000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i32−2+2i31−i321−i321−i3200002−2i302−2i3−2+2i31−i321−i321−i321−i321−i320000−1+i320−1+i320000000
χ9944-144-1-1-14-1-10004040-14-1-1-1-1000-10-100000000−2−2i3−2−2i31+i32−2−2i3−2−2i31+i321+i321+i32−2−2i31+i321+i32000−2−2i30−2−2i301+i32−2−2i31+i321+i321+i321+i320001+i3201+i3200000000−2+2i3−2+2i31−i32−2+2i3−2+2i31−i321−i321−i32−2+2i31−i321−i32000−2+2i30−2+2i301−i32−2+2i31−i321−i321−i321−i320001−i3201−i3200000000
χ10044-144-1-1-14-1-1000-40-40-14-1-1-1-100010100000000−2−2i3−2−2i31+i32−2−2i3−2−2i31+i321+i321+i32−2−2i31+i321+i320002+2i302+2i301+i32−2−2i31+i321+i321+i321+i32000−1−i320−1−i3200000000−2+2i3−2+2i31−i32−2+2i3−2+2i31−i321−i321−i32−2+2i31−i321−i320002−2i302−2i301−i32−2+2i31−i321−i321−i321−i32000−1+i320−1+i3200000000
χ101888-2-4-2-28-2-2-20000000-41111100000000000000−4−4i3−4−4i3−4−4i31+i32+2i31+i31+i3−4−4i31+i31+i31+i300000002+2i3−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000−4+4i3−4+4i3−4+4i31−i32−2i31−i31−i3−4+4i31−i31−i31−i300000002−2i3−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ10288-28-4-2-2-28-2-200000001-4111100000000000000−4−4i3−4−4i31+i3−4−4i32+2i31+i31+i31+i3−4−4i31+i31+i30000000−1−i322+2i3−1−i32−1−i32−1−i32−1−i3200000000000000−4+4i3−4+4i31−i3−4+4i32−2i31−i31−i31−i3−4+4i31−i31−i30000000−1+i322−2i3−1+i32−1+i32−1+i32−1+i3200000000000000
χ10388-2-283-2-2-23-20000000-2-233-2-200000000000000−4−4i3−4−4i31+i31+i3−4−4i3−3−3i321+i31+i31+i3−3−3i321+i300000001+i31+i3−3−3i32−3−3i321+i31+i300000000000000−4+4i3−4+4i31−i31−i3−4+4i3−3+3i321−i31−i31−i3−3+3i321−i300000001−i31−i3−3+3i32−3+3i321−i31−i300000000000000
χ10488-2-28-23-2-2-230000000-2-2-2-23300000000000000−4−4i3−4−4i31+i31+i3−4−4i31+i3−3−3i321+i31+i31+i3−3−3i3200000001+i31+i31+i31+i3−3−3i32−3−3i3200000000000000−4+4i3−4+4i31−i31−i3−4+4i31−i3−3+3i321−i31−i31−i3−3+3i3200000001−i31−i31−i31−i3−3+3i32−3+3i3200000000000000
χ10588-2-2-43-2-2-23-2000000011−3−5i32−3+5i321100000000000000−4−4i3−4−4i31+i31+i32+2i3−3−3i321+i31+i31+i3−3−3i321+i30000000−1−i32−1−i32−3+2i39−i32−1−i32−1−i3200000000000000−4+4i3−4+4i31−i31−i32−2i3−3+3i321−i31−i31−i3−3+3i321−i30000000−1+i32−1+i329+i32−3−2i3−1+i32−1+i3200000000000000
χ10688-2-2-43-2-2-23-2000000011−3+5i32−3−5i321100000000000000−4−4i3−4−4i31+i31+i32+2i3−3−3i321+i31+i31+i3−3−3i321+i30000000−1−i32−1−i329−i32−3+2i3−1−i32−1−i3200000000000000−4+4i3−4+4i31−i31−i32−2i3−3+3i321−i31−i31−i3−3+3i321−i30000000−1+i32−1+i32−3−2i39+i32−1+i32−1+i3200000000000000
χ10788-2-2-4-23-2-2-2300000001111−3−5i32−3+5i3200000000000000−4−4i3−4−4i31+i31+i32+2i31+i3−3−3i321+i31+i31+i3−3−3i320000000−1−i32−1−i32−1−i32−1−i32−3+2i39−i3200000000000000−4+4i3−4+4i31−i31−i32−2i31−i3−3+3i321−i31−i31−i3−3+3i320000000−1+i32−1+i32−1+i32−1+i329+i32−3−2i300000000000000
χ10888-2-2-4-23-2-2-2300000001111−3+5i32−3−5i3200000000000000−4−4i3−4−4i31+i31+i32+2i31+i3−3−3i321+i31+i31+i3−3−3i320000000−1−i32−1−i32−1−i32−1−i329−i32−3+2i300000000000000−4+4i3−4+4i31−i31−i32−2i31−i3−3+3i321−i31−i31−i3−3+3i320000000−1+i32−1+i32−1+i32−1+i32−3−2i39+i3200000000000000
χ10912-412-30-3-3-4111000040-40000000000-1010000000−6−6i32+2i3−6−6i33+3i3203+3i323+3i322+2i3−1−i32−1−i32−1−i320000−2−2i302+2i300000000001+i320−1−i320000000−6+6i32−2i3−6+6i33−3i3203−3i323−3i322−2i3−1+i32−1+i32−1+i320000−2+2i302−2i300000000001−i320−1+i320000000
χ11012-412-30-3-3-41110000-404000000000010-10000000−6−6i32+2i3−6−6i33+3i3203+3i323+3i322+2i3−1−i32−1−i32−1−i3200002+2i30−2−2i30000000000−1−i3201+i320000000−6+6i32−2i3−6+6i33−3i3203−3i323−3i322−2i3−1+i32−1+i32−1+i3200002−2i30−2+2i30000000000−1+i3201−i320000000
χ11112-4-3120-3-31-41100040-40000000000-10100000000−6−6i32+2i33+3i32−6−6i303+3i323+3i32−1−i322+2i3−1−i32−1−i32000−2−2i302+2i300000000001+i320−1−i3200000000−6+6i32−2i33−3i32−6+6i303−3i323−3i32−1+i322−2i3−1+i32−1+i32000−2+2i302−2i300000000001−i320−1+i3200000000
χ11212-4-3120-3-31-411000-404000000000010-100000000−6−6i32+2i33+3i32−6−6i303+3i323+3i32−1−i322+2i3−1−i32−1−i320002+2i30−2−2i30000000000−1−i3201+i3200000000−6+6i32−2i33−3i32−6+6i303−3i323−3i32−1+i322−2i3−1+i32−1+i320002−2i30−2+2i30000000000−1+i3201−i3200000000
χ11324-8-6-609-622-32000000000000000000000000000−12−12i34+4i33+3i33+3i30−9−9i323+3i3−1−i3−1−i33+3i32−1−i3000000000000000000000000000−12+12i34−4i33−3i33−3i30−9+9i323−3i3−1+i3−1+i33−3i32−1+i3000000000000000000000000000
χ11424-8-6-60-69222-3000000000000000000000000000−12−12i34+4i33+3i33+3i303+3i3−9−9i32−1−i3−1−i3−1−i33+3i32000000000000000000000000000−12+12i34−4i33−3i33−3i303−3i3−9+9i32−1+i3−1+i3−1+i33−3i32000000000000000000000000000

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