Finite Group Databasebeta

← Group #13166713

Character table — Group #13166713

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444444488889912121212121212121818182424242424242424363636361122244444444888899121212121212121218181824242424242424243636363611222444444448888991212121212121212181818242424242424242436363636
order1224433661212121266121222224488882446612122424242444443661212336612121212661212666612122424242461212661212242424241212121236612123366121212126612126666121224242424612126612122424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111
χ5111-1-11111-1-1-1-111-1-1-1-11-11-1ii−i−i-1111-11-1ii−i−iii−i−i111-1-11111-1-1-1-111-1-1-1-11-11-1ii−i−i-1111-11-1ii−i−iii−i−i111-1-11111-1-1-1-111-1-1-1-11-11-1ii−i−i-1111-11-1ii−i−iii−i−i
χ6111-1-11111-1-1-1-111-1-1-1-11-11-1−i−iii-1111-11-1−i−iii−i−iii111-1-11111-1-1-1-111-1-1-1-11-11-1−i−iii-1111-11-1−i−iii−i−iii111-1-11111-1-1-1-111-1-1-1-11-11-1−i−iii-1111-11-1−i−iii−i−iii
χ7111-1-11111-1-1-1-111-1-1-1-1-11-11ii−i−i-111-11-11ii−i−i−i−iii111-1-11111-1-1-1-111-1-1-1-1-11-11ii−i−i-111-11-11ii−i−i−i−iii111-1-11111-1-1-1-111-1-1-1-1-11-11ii−i−i-111-11-11ii−i−i−i−iii
χ8111-1-11111-1-1-1-111-1-1-1-1-11-11−i−iii-111-11-11−i−iiiii−i−i111-1-11111-1-1-1-111-1-1-1-1-11-11−i−iii-111-11-11−i−iiiii−i−i111-1-11111-1-1-1-111-1-1-1-1-11-11−i−iii-111-11-11−i−iiiii−i−i
χ911-11-1111111-1-1-1-11-1-1-11-1-11i−ii−i11-11-1-11i−ii−ii−ii−i11-11-1111111-1-1-1-11-1-1-11-1-11i−ii−i11-11-1-11i−ii−ii−ii−i11-11-1111111-1-1-1-11-1-1-11-1-11i−ii−i11-11-1-11i−ii−ii−ii−i
χ1011-11-1111111-1-1-1-11-1-1-11-1-11−ii−ii11-11-1-11−ii−ii−ii−ii11-11-1111111-1-1-1-11-1-1-11-1-11−ii−ii11-11-1-11−ii−ii−ii−ii11-11-1111111-1-1-1-11-1-1-11-1-11−ii−ii11-11-1-11−ii−ii−ii−ii
χ1111-11-1111111-1-1-1-11-1-1-1-111-1i−ii−i11-1-111-1i−ii−i−ii−ii11-11-1111111-1-1-1-11-1-1-1-111-1i−ii−i11-1-111-1i−ii−i−ii−ii11-11-1111111-1-1-1-11-1-1-1-111-1i−ii−i11-1-111-1i−ii−i−ii−ii
χ1211-11-1111111-1-1-1-11-1-1-1-111-1−ii−ii11-1-111-1−ii−iii−ii−i11-11-1111111-1-1-1-11-1-1-1-111-1−ii−ii11-1-111-1−ii−iii−ii−i11-11-1111111-1-1-1-11-1-1-1-111-1−ii−ii11-1-111-1−ii−iii−ii−i
χ1311-1-111111-1-111-1-1-111111-1-11-1-11-11-111-1-11-1-111-1-1111-1-111111-1-111-1-1-111111-1-11-1-11-11-111-1-11-1-111-1-1111-1-111111-1-111-1-1-111111-1-11-1-11-11-111-1-11-1-111-1-11
χ1411-1-111111-1-111-1-1-111111-1-1-111-1-11-111-1-1-111-1-111-111-1-111111-1-111-1-1-111111-1-1-111-1-11-111-1-1-111-1-111-111-1-111111-1-111-1-1-111111-1-1-111-1-11-111-1-1-111-1-111-1
χ1511-1-111111-1-111-1-1-1111-1-1111-1-11-11-1-1-1111-1-11-111-111-1-111111-1-111-1-1-1111-1-1111-1-11-11-1-1-1111-1-11-111-111-1-111111-1-111-1-1-1111-1-1111-1-11-11-1-1-1111-1-11-111-1
χ1611-1-111111-1-111-1-1-1111-1-111-111-1-11-1-1-111-111-11-1-1111-1-111111-1-111-1-1-1111-1-111-111-1-11-1-1-111-111-11-1-1111-1-111111-1-111-1-1-1111-1-111-111-1-11-1-1-111-111-11-1-11
χ1722222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-2000000000000
χ18222-2-22222-2-2-2-222-2-222000000002-2-2000000000000222-2-22222-2-2-2-222-2-222000000002-2-2000000000000222-2-22222-2-2-2-222-2-222000000002-2-2000000000000
χ1922-22-2222222-2-2-2-22-22200000000-2-2200000000000022-22-2222222-2-2-2-22-22200000000-2-2200000000000022-22-2222222-2-2-2-22-22200000000-2-22000000000000
χ2022-2-222222-2-222-2-2-22-2-2000000002-2200000000000022-2-222222-2-222-2-2-22-2-2000000002-2200000000000022-2-222222-2-222-2-2-22-2-2000000002-22000000000000
χ21444441-21-2-2-2111-21-200000022220000000-1-1-1-10000444441-21-2-2-2111-21-200000022220000000-1-1-1-10000444441-21-2-2-2111-21-200000022220000000-1-1-1-10000
χ22444441-21-2-2-2111-21-2000000-2-2-2-2000000011110000444441-21-2-2-2111-21-2000000-2-2-2-2000000011110000444441-21-2-2-2111-21-2000000-2-2-2-2000000011110000
χ2344444-21-2111-2-2-21-210022220000000-1-1-1-10000000044444-21-2111-2-2-21-210022220000000-1-1-1-10000000044444-21-2111-2-2-21-210022220000000-1-1-1-100000000
χ2444444-21-2111-2-2-21-2100-2-2-2-2000000011110000000044444-21-2111-2-2-21-2100-2-2-2-2000000011110000000044444-21-2111-2-2-21-2100-2-2-2-20000000111100000000
χ25444-4-41-21-222-1-11-2-120000002i2i−2i−2i0000000−i−iii0000444-4-41-21-222-1-11-2-120000002i2i−2i−2i0000000−i−iii0000444-4-41-21-222-1-11-2-120000002i2i−2i−2i0000000−i−iii0000
χ26444-4-41-21-222-1-11-2-12000000−2i−2i2i2i0000000ii−i−i0000444-4-41-21-222-1-11-2-12000000−2i−2i2i2i0000000ii−i−i0000444-4-41-21-222-1-11-2-12000000−2i−2i2i2i0000000ii−i−i0000
χ27444-4-4-21-21-1-122-212-1002-22-20000000-11-1100000000444-4-4-21-21-1-122-212-1002-22-20000000-11-1100000000444-4-4-21-21-1-122-212-1002-22-20000000-11-1100000000
χ28444-4-4-21-21-1-122-212-100-22-2200000001-11-100000000444-4-4-21-21-1-122-212-100-22-2200000001-11-100000000444-4-4-21-21-1-122-212-100-22-2200000001-11-100000000
χ2944-44-41-21-2-2-2-1-1-12120000002i−2i2i−2i0000000−ii−ii000044-44-41-21-2-2-2-1-1-12120000002i−2i2i−2i0000000−ii−ii000044-44-41-21-2-2-2-1-1-12120000002i−2i2i−2i0000000−ii−ii0000
χ3044-44-41-21-2-2-2-1-1-1212000000−2i2i−2i2i0000000i−ii−i000044-44-41-21-2-2-2-1-1-1212000000−2i2i−2i2i0000000i−ii−i000044-44-41-21-2-2-2-1-1-1212000000−2i2i−2i2i0000000i−ii−i0000
χ3144-44-4-21-2111222-1-2-1002-2-220000000-111-10000000044-44-4-21-2111222-1-2-1002-2-220000000-111-10000000044-44-4-21-2111222-1-2-1002-2-220000000-111-100000000
χ3244-44-4-21-2111222-1-2-100-222-200000001-1-110000000044-44-4-21-2111222-1-2-100-222-200000001-1-110000000044-44-4-21-2111222-1-2-100-222-200000001-1-1100000000
χ3344-4-441-21-22211-12-1-20000002-2-220000000-111-1000044-4-441-21-22211-12-1-20000002-2-220000000-111-1000044-4-441-21-22211-12-1-20000002-2-220000000-111-10000
χ3444-4-441-21-22211-12-1-2000000-222-200000001-1-11000044-4-441-21-22211-12-1-2000000-222-200000001-1-11000044-4-441-21-22211-12-1-2000000-222-200000001-1-110000
χ3544-4-44-21-21-1-1-2-22-1210022-2-20000000-1-1110000000044-4-44-21-21-1-1-2-22-1210022-2-20000000-1-1110000000044-4-44-21-21-1-1-2-22-1210022-2-20000000-1-11100000000
χ3644-4-44-21-21-1-1-2-22-12100-2-222000000011-1-10000000044-4-44-21-21-1-1-2-22-12100-2-222000000011-1-10000000044-4-44-21-21-1-1-2-22-12100-2-222000000011-1-100000000
χ374-400044-4-4000000004-4000000000000000000000004-400044-4-4000000004-4000000000000000000000004-400044-4-4000000004-400000000000000000000000
χ384-400044-4-400000000-44000000000000000000000004-400044-4-400000000-44000000000000000000000004-400044-4-400000000-4400000000000000000000000
χ398-80002-4-24006i−6i000000000000000000000000000008-80002-4-24006i−6i000000000000000000000000000008-80002-4-24006i−6i00000000000000000000000000000
χ408-80002-4-2400−6i6i000000000000000000000000000008-80002-4-2400−6i6i000000000000000000000000000008-80002-4-2400−6i6i00000000000000000000000000000
χ418-8000-424-26i−6i00000000000000000000000000000008-8000-424-26i−6i00000000000000000000000000000008-8000-424-26i−6i0000000000000000000000000000000
χ428-8000-424-2−6i6i00000000000000000000000000000008-8000-424-2−6i6i00000000000000000000000000000008-8000-424-2−6i6i0000000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4411111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−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−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ461111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ47111-1-11111-1-1-1-111-1-1-1-11-11-1ii−i−i-1111-11-1ii−i−iii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ48111-1-11111-1-1-1-111-1-1-1-11-11-1−i−iii-1111-11-1−i−iii−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ49111-1-11111-1-1-1-111-1-1-1-1-11-11ii−i−i-111-11-11ii−i−i−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ50111-1-11111-1-1-1-111-1-1-1-1-11-11−i−iii-111-11-11−i−iiiii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ5111-11-1111111-1-1-1-11-1-1-11-1-11i−ii−i11-11-1-11i−ii−ii−ii−i−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ5211-11-1111111-1-1-1-11-1-1-11-1-11−ii−ii11-11-1-11−ii−ii−ii−ii−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ5311-11-1111111-1-1-1-11-1-1-1-111-1i−ii−i11-1-111-1i−ii−i−ii−ii−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ5411-11-1111111-1-1-1-11-1-1-1-111-1−ii−ii11-1-111-1−ii−iii−ii−i−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ5511-1-111111-1-111-1-1-111111-1-11-1-11-11-111-1-11-1-111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5611-1-111111-1-111-1-1-111111-1-1-111-1-11-111-1-1-111-1-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ5711-1-111111-1-111-1-1-1111-1-1111-1-11-11-1-1-1111-1-11-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ5811-1-111111-1-111-1-1-1111-1-111-111-1-11-1-1-111-111-11-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ5922222222222222222-2-200000000-2-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000001−i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000001+i31+i31+i3000000000000
χ60222-2-22222-2-2-2-222-2-222000000002-2-2000000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000−1+i31−i31−i3000000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000−1−i31+i31+i3000000000000
χ6122-22-2222222-2-2-2-22-22200000000-2-22000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i3−1+i3000000001−i31−i3−1+i3000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i3−1−i3000000001+i31+i3−1−i3000000000000
χ6222-2-222222-2-222-2-2-22-2-2000000002-22000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i300000000−1+i31−i3−1+i3000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i300000000−1−i31+i3−1−i3000000000000
χ63444441-21-2-2-2111-21-200000022220000000-1-1-1-10000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i321−i3000000−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i320000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i321+i3000000−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i320000
χ64444441-21-2-2-2111-21-2000000-2-2-2-2000000011110000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i321−i30000001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i320000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i321+i30000001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i320000
χ6544444-21-2111-2-2-21-210022220000000-1-1-1-100000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i321−i3−1+i3200−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i3200000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i321+i3−1−i3200−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i3200000000
χ6644444-21-2111-2-2-21-2100-2-2-2-20000000111100000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i321−i3−1+i32001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i3200000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i321+i3−1−i32001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i3200000000
χ67444-4-41-21-222-1-11-2-120000002i2i−2i−2i0000000−i−iii0000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32−1+i321−i31−i32−1+i30000002ζ72ζ7−2ζ7−2ζ70000000−ζ7−ζ7ζ7ζ70000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32−1−i321+i31+i32−1−i30000002ζ112ζ11−2ζ11−2ζ110000000−ζ11−ζ11ζ11ζ110000
χ68444-4-41-21-222-1-11-2-12000000−2i−2i2i2i0000000ii−i−i0000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32−1+i321−i31−i32−1+i3000000−2ζ7−2ζ72ζ72ζ70000000ζ7ζ7−ζ7−ζ70000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32−1−i321+i31+i32−1−i3000000−2ζ11−2ζ112ζ112ζ110000000ζ11ζ11−ζ11−ζ110000
χ69444-4-4-21-21-1-122-212-1002-22-20000000-11-1100000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i31−i3−1+i32−1+i31−i3200−1+i31−i3−1+i31−i300000001−i32−1+i321−i32−1+i3200000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i31+i3−1−i32−1−i31+i3200−1−i31+i3−1−i31+i300000001+i32−1−i321+i32−1−i3200000000
χ70444-4-4-21-21-1-122-212-100-22-2200000001-11-100000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i31−i3−1+i32−1+i31−i32001−i3−1+i31−i3−1+i30000000−1+i321−i32−1+i321−i3200000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i31+i3−1−i32−1−i31+i32001+i3−1−i31+i3−1−i30000000−1−i321+i32−1−i321+i3200000000
χ7144-44-41-21-2-2-2-1-1-12120000002i−2i2i−2i0000000−ii−ii0000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i30000002ζ7−2ζ72ζ7−2ζ70000000−ζ7ζ7−ζ7ζ70000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i30000002ζ11−2ζ112ζ11−2ζ110000000−ζ11ζ11−ζ11ζ110000
χ7244-44-41-21-2-2-2-1-1-1212000000−2i2i−2i2i0000000i−ii−i0000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i3000000−2ζ72ζ7−2ζ72ζ70000000ζ7−ζ7ζ7−ζ70000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i3000000−2ζ112ζ11−2ζ112ζ110000000ζ11−ζ11ζ11−ζ110000
χ7344-44-4-21-2111222-1-2-1002-2-220000000-111-100000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i31−i3200−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i3200000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i31+i3200−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i3200000000
χ7444-44-4-21-2111222-1-2-100-222-200000001-1-1100000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i31−i32001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i3200000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i31+i32001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i3200000000
χ7544-4-441-21-22211-12-1-20000002-2-220000000-111-10000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i31−i321−i3000000−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i320000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i31+i321+i3000000−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i320000
χ7644-4-441-21-22211-12-1-2000000-222-200000001-1-110000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i31−i321−i30000001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i320000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i31+i321+i30000001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i320000
χ7744-4-44-21-21-1-1-2-22-1210022-2-20000000-1-11100000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i321−i321−i321−i31−i3−1+i31−i32−1+i3−1+i3200−1+i3−1+i31−i31−i300000001−i321−i32−1+i32−1+i3200000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i321+i321+i321+i31+i3−1−i31+i32−1−i3−1−i3200−1−i3−1−i31+i31+i300000001+i321+i32−1−i32−1−i3200000000
χ7844-4-44-21-21-1-1-2-22-12100-2-222000000011-1-100000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i321−i321−i321−i31−i3−1+i31−i32−1+i3−1+i32001−i31−i3−1+i3−1+i30000000−1+i32−1+i321−i321−i3200000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i321+i321+i321+i31+i3−1−i31+i32−1−i3−1−i32001+i31+i3−1−i3−1−i30000000−1−i32−1−i321+i321+i3200000000
χ794-400044-4-4000000004-400000000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i300000000−2+2i32−2i300000000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i300000000−2−2i32+2i300000000000000000000000
χ804-400044-4-400000000-4400000000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i3000000002−2i3−2+2i300000000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i3000000002+2i3−2−2i300000000000000000000000
χ818-80002-4-24006i−6i00000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i3006ζ7−6ζ700000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i3006ζ11−6ζ1100000000000000000000000000000
χ828-80002-4-2400−6i6i00000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i300−6ζ76ζ700000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i300−6ζ116ζ1100000000000000000000000000000
χ838-8000-424-26i−6i0000000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i36ζ7−6ζ70000000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i36ζ11−6ζ110000000000000000000000000000000
χ848-8000-424-2−6i6i0000000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i3−6ζ76ζ70000000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i3−6ζ116ζ110000000000000000000000000000000
χ85111111111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ8611111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ871111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+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+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ881111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ89111-1-11111-1-1-1-111-1-1-1-11-11-1ii−i−i-1111-11-1ii−i−iii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ90111-1-11111-1-1-1-111-1-1-1-11-11-1−i−iii-1111-11-1−i−iii−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ91111-1-11111-1-1-1-111-1-1-1-1-11-11ii−i−i-111-11-11ii−i−i−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ92111-1-11111-1-1-1-111-1-1-1-1-11-11−i−iii-111-11-11−i−iiiii−i−i−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ9311-11-1111111-1-1-1-11-1-1-11-1-11i−ii−i11-11-1-11i−ii−ii−ii−i−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ9411-11-1111111-1-1-1-11-1-1-11-1-11−ii−ii11-11-1-11−ii−ii−ii−ii−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ9511-11-1111111-1-1-1-11-1-1-1-111-1i−ii−i11-1-111-1i−ii−i−ii−ii−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ9611-11-1111111-1-1-1-11-1-1-1-111-1−ii−ii11-1-111-1−ii−iii−ii−i−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ9711-1-111111-1-111-1-1-111111-1-11-1-11-11-111-1-11-1-111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ9811-1-111111-1-111-1-1-111111-1-1-111-1-11-111-1-1-111-1-111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ9911-1-111111-1-111-1-1-1111-1-1111-1-11-11-1-1-1111-1-11-111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ10011-1-111111-1-111-1-1-1111-1-111-111-1-11-1-1-111-111-11-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ10122222222222222222-2-200000000-2-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000001+i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000001−i31−i31−i3000000000000
χ102222-2-22222-2-2-2-222-2-222000000002-2-2000000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000−1−i31+i31+i3000000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000−1+i31−i31−i3000000000000
χ10322-22-2222222-2-2-2-22-22200000000-2-22000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i3−1−i3000000001+i31+i3−1−i3000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i3−1+i3000000001−i31−i3−1+i3000000000000
χ10422-2-222222-2-222-2-2-22-2-2000000002-22000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i300000000−1−i31+i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i300000000−1+i31−i3−1+i3000000000000
χ105444441-21-2-2-2111-21-200000022220000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i321+i3000000−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i321−i3000000−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i320000
χ106444441-21-2-2-2111-21-2000000-2-2-2-2000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i321+i3−1−i321+i30000001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i321−i3−1+i321−i30000001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i320000
χ10744444-21-2111-2-2-21-210022220000000-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i321+i3−1−i3200−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i321−i3−1+i3200−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i3200000000
χ10844444-21-2111-2-2-21-2100-2-2-2-20000000111100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i321+i3−1−i32001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i321−i3−1+i32001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i3200000000
χ109444-4-41-21-222-1-11-2-120000002i2i−2i−2i0000000−i−iii0000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32−1−i321+i31+i32−1−i30000002ζ112ζ11−2ζ11−2ζ110000000−ζ11−ζ11ζ11ζ110000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32−1+i321−i31−i32−1+i30000002ζ72ζ7−2ζ7−2ζ70000000−ζ7−ζ7ζ7ζ70000
χ110444-4-41-21-222-1-11-2-12000000−2i−2i2i2i0000000ii−i−i0000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32−1−i321+i31+i32−1−i3000000−2ζ11−2ζ112ζ112ζ110000000ζ11ζ11−ζ11−ζ110000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32−1+i321−i31−i32−1+i3000000−2ζ7−2ζ72ζ72ζ70000000ζ7ζ7−ζ7−ζ70000
χ111444-4-4-21-21-1-122-212-1002-22-20000000-11-1100000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i31+i3−1−i32−1−i31+i3200−1−i31+i3−1−i31+i300000001+i32−1−i321+i32−1−i3200000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i31−i3−1+i32−1+i31−i3200−1+i31−i3−1+i31−i300000001−i32−1+i321−i32−1+i3200000000
χ112444-4-4-21-21-1-122-212-100-22-2200000001-11-100000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i31+i3−1−i32−1−i31+i32001+i3−1−i31+i3−1−i30000000−1−i321+i32−1−i321+i3200000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i31−i3−1+i32−1+i31−i32001−i3−1+i31−i3−1+i30000000−1+i321−i32−1+i321−i3200000000
χ11344-44-41-21-2-2-2-1-1-12120000002i−2i2i−2i0000000−ii−ii0000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i30000002ζ11−2ζ112ζ11−2ζ110000000−ζ11ζ11−ζ11ζ110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i30000002ζ7−2ζ72ζ7−2ζ70000000−ζ7ζ7−ζ7ζ70000
χ11444-44-41-21-2-2-2-1-1-1212000000−2i2i−2i2i0000000i−ii−i0000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i31+i31+i321+i321+i32−1−i3−1−i32−1−i3000000−2ζ112ζ11−2ζ112ζ110000000ζ11−ζ11ζ11−ζ110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i31−i31−i321−i321−i32−1+i3−1+i32−1+i3000000−2ζ72ζ7−2ζ72ζ70000000ζ7−ζ7ζ7−ζ70000
χ11544-44-4-21-2111222-1-2-1002-2-220000000-111-100000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i31+i3200−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i3200000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i31−i3200−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i3200000000
χ11644-44-4-21-2111222-1-2-100-222-200000001-1-1100000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i3−1−i3−1−i31+i321+i31+i32001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i3200000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i3−1+i3−1+i31−i321−i31−i32001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i3200000000
χ11744-4-441-21-22211-12-1-20000002-2-220000000-111-10000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i31+i321+i3000000−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i320000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i31−i321−i3000000−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i320000
χ11844-4-441-21-22211-12-1-2000000-222-200000001-1-110000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i3−1−i3−1−i3−1−i32−1−i321+i32−1−i31+i321+i30000001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i320000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i3−1+i3−1+i3−1+i32−1+i321−i32−1+i31−i321−i30000001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i320000
χ11944-4-44-21-21-1-1-2-22-1210022-2-20000000-1-11100000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i321+i321+i321+i31+i3−1−i31+i32−1−i3−1−i3200−1−i3−1−i31+i31+i300000001+i321+i32−1−i32−1−i3200000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i321−i321−i321−i31−i3−1+i31−i32−1+i3−1+i3200−1+i3−1+i31−i31−i300000001−i321−i32−1+i32−1+i3200000000
χ12044-4-44-21-21-1-1-2-22-12100-2-222000000011-1-100000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i321+i321+i321+i31+i3−1−i31+i32−1−i3−1−i32001+i31+i3−1−i3−1−i30000000−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i321−i321−i321−i31−i3−1+i31−i32−1+i3−1+i32001−i31−i3−1+i3−1+i30000000−1+i32−1+i321−i321−i3200000000
χ1214-400044-4-4000000004-400000000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i300000000−2−2i32+2i300000000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i300000000−2+2i32−2i300000000000000000000000
χ1224-400044-4-400000000-4400000000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i3000000002+2i3−2−2i300000000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i3000000002−2i3−2+2i300000000000000000000000
χ1238-80002-4-24006i−6i00000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i3006ζ11−6ζ1100000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i3006ζ7−6ζ700000000000000000000000000000
χ1248-80002-4-2400−6i6i00000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i300−6ζ116ζ1100000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i300−6ζ76ζ700000000000000000000000000000
χ1258-8000-424-26i−6i0000000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i36ζ11−6ζ110000000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i36ζ7−6ζ70000000000000000000000000000000
χ1268-8000-424-2−6i6i0000000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i3−6ζ116ζ110000000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i3−6ζ76ζ70000000000000000000000000000000

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