Finite Group Databasebeta

← Group #13181020

Character table — Group #13181020

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444444488889912121212121212121818182424242424242424363636361122244444444888899121212121212121218181824242424242424243636363611222444444448888991212121212121212181818242424242424242436363636
order12244336666121261212122222222244244666666121288883661212336666121261212126666666612126121266666612122424242436612123366661212612121266666666121261212666666121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-11111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1
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
χ5111-1-1111111-1-11-1-1-1-1-111-1-11-11-1-1111-111-1-11-111-1-1111-1-1111111-1-11-1-1-1-1-111-1-11-11-1-1111-111-1-11-111-1-1111-1-1111111-1-11-1-1-1-1-111-1-11-11-1-1111-111-1-11-111-1-1
χ6111-1-1111111-1-11-1-1-1-1-111-1-1-11-11-111-1111-1-1-11-1-111111-1-1111111-1-11-1-1-1-1-111-1-1-11-11-111-1111-1-1-11-1-111111-1-1111111-1-11-1-1-1-1-111-1-1-11-11-111-1111-1-1-11-1-111
χ7111-1-1111111-1-11-1-1-1-1-1-1-1111-11-1-1111-1-1-1111-1-1-111111-1-1111111-1-11-1-1-1-1-1-1-1111-11-1-1111-1-1-1111-1-1-111111-1-1111111-1-11-1-1-1-1-1-1-1111-11-1-1111-1-1-1111-1-1-111
χ8111-1-1111111-1-11-1-1-1-1-1-1-111-11-11-111-11-1-111-1111-1-1111-1-1111111-1-11-1-1-1-1-1-1-111-11-11-111-11-1-111-1111-1-1111-1-1111111-1-11-1-1-1-1-1-1-111-11-11-111-11-1-111-1111-1-1
χ911-11-111-1-11111-11-1-1-1-11-11-11-1-111-111-11-11-1-111-11-111-11-111-1-11111-11-1-1-1-11-11-11-1-111-111-11-11-1-111-11-111-11-111-1-11111-11-1-1-1-11-11-11-1-111-111-11-11-1-111-11-1
χ1011-11-111-1-11111-11-1-1-1-11-11-1-111-11-11-111-11-11-1-11-1111-11-111-1-11111-11-1-1-1-11-11-1-111-11-11-111-11-11-1-11-1111-11-111-1-11111-11-1-1-1-11-11-1-111-11-11-111-11-11-1-11-11
χ1111-11-111-1-11111-11-1-1-1-1-11-111-1-111-111-1-11-11-11-11-1111-11-111-1-11111-11-1-1-1-1-11-111-1-111-111-1-11-11-11-11-1111-11-111-1-11111-11-1-1-1-1-11-111-1-111-111-1-11-11-11-11-11
χ1211-11-111-1-11111-11-1-1-1-1-11-11-111-11-11-11-11-111-11-11-111-11-111-1-11111-11-1-1-1-1-11-11-111-11-11-11-11-111-11-11-111-11-111-1-11111-11-1-1-1-1-11-11-111-11-11-11-11-111-11-11-1
χ1311-1-1111-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-11-1-1111-1-1111-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-11-1-1111-1-1111-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-11-1-11
χ1411-1-1111-1-111-1-1-1-111111-1-11-1-111-1-11-1-11-1-1111-111-111-1-1111-1-111-1-1-1-111111-1-11-1-111-1-11-1-11-1-1111-111-111-1-1111-1-111-1-1-1-111111-1-11-1-111-1-11-1-11-1-1111-111-1
χ1511-1-1111-1-111-1-1-1-11111-111-111-1-1-1-1111-111-1-1-1-111-111-1-1111-1-111-1-1-1-11111-111-111-1-1-1-1111-111-1-1-1-111-111-1-1111-1-111-1-1-1-11111-111-111-1-1-1-1111-111-1-1-1-111-1
χ1611-1-1111-1-111-1-1-1-11111-111-1-1-111-1-11-1-1-111-1111-1-1111-1-1111-1-111-1-1-1-11111-111-1-1-111-1-11-1-1-111-1111-1-1111-1-1111-1-111-1-1-1-11111-111-1-1-111-1-11-1-1-111-1111-1-11
χ1722222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-2000000000000
χ18222-2-2222222-2-22-2-2-222000000002-2-2000000000000222-2-2222222-2-22-2-2-222000000002-2-2000000000000222-2-2222222-2-22-2-2-222000000002-2-2000000000000
χ1922-22-222-2-22222-22-2-22200000000-22-200000000000022-22-222-2-22222-22-2-22200000000-22-200000000000022-22-222-2-22222-22-2-22200000000-22-2000000000000
χ2022-2-2222-2-222-2-2-2-222-2-20000000022-200000000000022-2-2222-2-222-2-2-2-222-2-20000000022-200000000000022-2-2222-2-222-2-2-2-222-2-20000000022-2000000000000
χ21444441-2-2-2-21111-2-210000002222000-1-10000-1-10000444441-2-2-2-21111-2-210000002222000-1-10000-1-10000444441-2-2-2-21111-2-210000002222000-1-10000-1-10000
χ22444441-2-2-2-21111-2-21000000-2-2-2-2000110000110000444441-2-2-2-21111-2-21000000-2-2-2-2000110000110000444441-2-2-2-21111-2-21000000-2-2-2-2000110000110000
χ2344444-21111-2-2-2-211-2002222000000000-1-1-1-100000044444-21111-2-2-2-211-2002222000000000-1-1-1-100000044444-21111-2-2-2-211-2002222000000000-1-1-1-1000000
χ2444444-21111-2-2-2-211-200-2-2-2-2000000000111100000044444-21111-2-2-2-211-200-2-2-2-2000000000111100000044444-21111-2-2-2-211-200-2-2-2-20000000001111000000
χ25444-4-41-2-2-2-21-1-1122-10000002-22-2000-110000-110000444-4-41-2-2-2-21-1-1122-10000002-22-2000-110000-110000444-4-41-2-2-2-21-1-1122-10000002-22-2000-110000-110000
χ26444-4-41-2-2-2-21-1-1122-1000000-22-220001-100001-10000444-4-41-2-2-2-21-1-1122-1000000-22-220001-100001-10000444-4-41-2-2-2-21-1-1122-1000000-22-220001-100001-10000
χ27444-4-4-21111-222-2-1-120022-2-2000000000-1-111000000444-4-4-21111-222-2-1-120022-2-2000000000-1-111000000444-4-4-21111-222-2-1-120022-2-2000000000-1-111000000
χ28444-4-4-21111-222-2-1-1200-2-22200000000011-1-1000000444-4-4-21111-222-2-1-1200-2-22200000000011-1-1000000444-4-4-21111-222-2-1-1200-2-22200000000011-1-1000000
χ2944-44-41-222-2111-1-22-10000002-2-22000-1100001-1000044-44-41-222-2111-1-22-10000002-2-22000-1100001-1000044-44-41-222-2111-1-22-10000002-2-22000-1100001-10000
χ3044-44-41-222-2111-1-22-1000000-222-20001-10000-11000044-44-41-222-2111-1-22-1000000-222-20001-10000-11000044-44-41-222-2111-1-22-1000000-222-20001-10000-110000
χ3144-44-4-21-1-11-2-2-221-12002-22-2000000000-11-1100000044-44-4-21-1-11-2-2-221-12002-22-2000000000-11-1100000044-44-4-21-1-11-2-2-221-12002-22-2000000000-11-11000000
χ3244-44-4-21-1-11-2-2-221-1200-22-220000000001-11-100000044-44-4-21-1-11-2-2-221-1200-22-220000000001-11-100000044-44-4-21-1-11-2-2-221-1200-22-220000000001-11-1000000
χ3344-4-441-222-21-1-1-12-2100000022-2-2000-1-1000011000044-4-441-222-21-1-1-12-2100000022-2-2000-1-1000011000044-4-441-222-21-1-1-12-2100000022-2-2000-1-10000110000
χ3444-4-441-222-21-1-1-12-21000000-2-222000110000-1-1000044-4-441-222-21-1-1-12-21000000-2-222000110000-1-1000044-4-441-222-21-1-1-12-21000000-2-222000110000-1-10000
χ3544-4-44-21-1-11-2222-11-2002-2-22000000000-111-100000044-4-44-21-1-11-2222-11-2002-2-22000000000-111-100000044-4-44-21-1-11-2222-11-2002-2-22000000000-111-1000000
χ3644-4-44-21-1-11-2222-11-200-222-20000000001-1-1100000044-4-44-21-1-11-2222-11-200-222-20000000001-1-1100000044-4-44-21-1-11-2222-11-200-222-20000000001-1-11000000
χ374-40004400-4-40000004-4000000000000000000000004-40004400-4-40000004-4000000000000000000000004-40004400-4-40000004-400000000000000000000000
χ384-40004400-4-4000000-44000000000000000000000004-40004400-4-4000000-44000000000000000000000004-40004400-4-4000000-4400000000000000000000000
χ398-80002-4004-26i−6i000000000000000000000000000008-80002-4004-26i−6i000000000000000000000000000008-80002-4004-26i−6i00000000000000000000000000000
χ408-80002-4004-2−6i6i000000000000000000000000000008-80002-4004-2−6i6i000000000000000000000000000008-80002-4004-2−6i6i00000000000000000000000000000
χ418-8000-426-6-2400000000000000000000000000000008-8000-426-6-2400000000000000000000000000000008-8000-426-6-240000000000000000000000000000000
χ428-8000-42-66-2400000000000000000000000000000008-8000-42-66-2400000000000000000000000000000008-8000-42-66-240000000000000000000000000000000
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
χ4411111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1−1+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+i321−i321−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−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1−1+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+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+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
χ47111-1-1111111-1-11-1-1-1-1-111-1-11-11-1-1111-111-1-11-111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32
χ48111-1-1111111-1-11-1-1-1-1-111-1-1-11-11-111-1111-1-1-11-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+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−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ49111-1-1111111-1-11-1-1-1-1-1-1-1111-11-1-1111-1-1-1111-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ50111-1-1111111-1-11-1-1-1-1-1-1-111-11-11-111-11-1-111-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ5111-11-111-1-11111-11-1-1-1-11-11-11-1-111-111-11-11-1-111-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32
χ5211-11-111-1-11111-11-1-1-1-11-11-1-111-11-11-111-11-11-1-11-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ5311-11-111-1-11111-11-1-1-1-1-11-111-1-111-111-1-11-11-11-11-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ5411-11-111-1-11111-11-1-1-1-1-11-11-111-11-11-11-11-111-11-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ5511-1-1111-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-11-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ5611-1-1111-1-111-1-1-1-111111-1-11-1-111-1-11-1-11-1-1111-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ5711-1-1111-1-111-1-1-1-11111-111-111-1-1-1-1111-111-1-1-1-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ5811-1-1111-1-111-1-1-1-11111-111-1-1-111-1-11-1-1-111-1111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−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
χ60222-2-2222222-2-22-2-2-222000000002-2-2000000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−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−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i31+i3000000000000
χ6122-22-222-2-22222-22-2-22200000000-22-2000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3000000001−i3−1+i31−i3000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3000000001+i3−1−i31+i3000000000000
χ6222-2-2222-2-222-2-2-2-222-2-20000000022-2000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300000000−1+i3−1+i31−i3000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300000000−1−i3−1−i31+i3000000000000
χ63444441-2-2-2-21111-2-210000002222000-1-10000-1-10000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32000000−1+i3−1+i3−1+i3−1+i30001−i321−i3200001−i321−i320000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32000000−1−i3−1−i3−1−i3−1−i30001+i321+i3200001+i321+i320000
χ64444441-2-2-2-21111-2-21000000-2-2-2-2000110000110000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i320000001−i31−i31−i31−i3000−1+i32−1+i320000−1+i32−1+i320000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i320000001+i31+i31+i31+i3000−1−i32−1−i320000−1−i32−1−i320000
χ6544444-21111-2-2-2-211-2002222000000000-1-1-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i300−1+i3−1+i3−1+i3−1+i30000000001−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i300−1−i3−1−i3−1−i3−1−i30000000001+i321+i321+i321+i32000000
χ6644444-21111-2-2-2-211-200-2-2-2-20000000001111000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i3001−i31−i31−i31−i3000000000−1+i32−1+i32−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i3001+i31+i31+i31+i3000000000−1−i32−1−i32−1−i32−1−i32000000
χ67444-4-41-2-2-2-21-1-1122-10000002-22-2000-110000-110000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i32000000−1+i31−i3−1+i31−i30001−i32−1+i3200001−i32−1+i320000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i32000000−1−i31+i3−1−i31+i30001+i32−1−i3200001+i32−1−i320000
χ68444-4-41-2-2-2-21-1-1122-1000000-22-220001-100001-10000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i320000001−i3−1+i31−i3−1+i3000−1+i321−i320000−1+i321−i320000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i320000001+i3−1−i31+i3−1−i3000−1−i321+i320000−1−i321+i320000
χ69444-4-4-21111-222-2-1-120022-2-2000000000-1-111000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i300−1+i3−1+i31−i31−i30000000001−i321−i32−1+i32−1+i32000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300−1−i3−1−i31+i31+i30000000001+i321+i32−1−i32−1−i32000000
χ70444-4-4-21111-222-2-1-1200-2-22200000000011-1-1000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i3001−i31−i3−1+i3−1+i3000000000−1+i32−1+i321−i321−i32000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i3001+i31+i3−1−i3−1−i3000000000−1−i32−1−i321+i321+i32000000
χ7144-44-41-222-2111-1-22-10000002-2-22000-1100001-10000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i321−i321−i3−1+i31−i32000000−1+i31−i31−i3−1+i30001−i32−1+i320000−1+i321−i320000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i321+i321+i3−1−i31+i32000000−1−i31+i31+i3−1−i30001+i32−1−i320000−1−i321+i320000
χ7244-44-41-222-2111-1-22-1000000-222-20001-10000-110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i321−i321−i3−1+i31−i320000001−i3−1+i3−1+i31−i3000−1+i321−i3200001−i32−1+i320000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i321+i321+i3−1−i31+i320000001+i3−1−i3−1−i31+i3000−1−i321+i3200001+i32−1−i320000
χ7344-44-4-21-1-11-2-2-221-12002-22-2000000000-11-11000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i321−i32−1+i321−i31−i31−i3−1+i3−1+i321−i32−1+i300−1+i31−i3−1+i31−i30000000001−i32−1+i321−i32−1+i32000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i321+i32−1−i321+i31+i31+i3−1−i3−1−i321+i32−1−i300−1−i31+i3−1−i31+i30000000001+i32−1−i321+i32−1−i32000000
χ7444-44-4-21-1-11-2-2-221-1200-22-220000000001-11-1000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i321−i32−1+i321−i31−i31−i3−1+i3−1+i321−i32−1+i3001−i3−1+i31−i3−1+i3000000000−1+i321−i32−1+i321−i32000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i321+i32−1−i321+i31+i31+i3−1−i3−1−i321+i32−1−i3001+i3−1−i31+i3−1−i3000000000−1−i321+i32−1−i321+i32000000
χ7544-4-441-222-21-1-1-12-2100000022-2-2000-1-10000110000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i3−1+i31−i3−1+i321−i321−i321−i32−1+i31−i3−1+i32000000−1+i3−1+i31−i31−i30001−i321−i320000−1+i32−1+i320000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i3−1−i31+i3−1−i321+i321+i321+i32−1−i31+i3−1−i32000000−1−i3−1−i31+i31+i30001+i321+i320000−1−i32−1−i320000
χ7644-4-441-222-21-1-1-12-21000000-2-222000110000-1-10000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i3−1+i31−i3−1+i321−i321−i321−i32−1+i31−i3−1+i320000001−i31−i3−1+i3−1+i3000−1+i32−1+i3200001−i321−i320000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i3−1−i31+i3−1−i321+i321+i321+i32−1−i31+i3−1−i320000001+i31+i3−1−i3−1−i3000−1−i32−1−i3200001+i321+i320000
χ7744-4-44-21-1-11-2222-11-2002-2-22000000000-111-1000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i321−i32−1+i321−i3−1+i3−1+i3−1+i31−i32−1+i321−i300−1+i31−i31−i3−1+i30000000001−i32−1+i32−1+i321−i32000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i321+i32−1−i321+i3−1−i3−1−i3−1−i31+i32−1−i321+i300−1−i31+i31+i3−1−i30000000001+i32−1−i32−1−i321+i32000000
χ7844-4-44-21-1-11-2222-11-200-222-20000000001-1-11000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i321−i32−1+i321−i3−1+i3−1+i3−1+i31−i32−1+i321−i3001−i3−1+i3−1+i31−i3000000000−1+i321−i321−i32−1+i32000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i321+i32−1−i321+i3−1−i3−1−i3−1−i31+i32−1−i321+i3001+i3−1−i3−1−i31+i3000000000−1−i321+i321+i32−1−i32000000
χ794-40004400-4-40000004-400000000000000000000000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i3000000−2+2i32−2i300000000000000000000000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i3000000−2−2i32+2i300000000000000000000000
χ804-40004400-4-4000000-4400000000000000000000000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i30000002−2i3−2+2i300000000000000000000000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i30000002+2i3−2−2i300000000000000000000000
χ818-80002-4004-26i−6i00000000000000000000000000000−4+4i34−4i3000−1+i32−2i300−2+2i31−i36ζ7−6ζ700000000000000000000000000000−4−4i34+4i3000−1−i32+2i300−2−2i31+i36ζ11−6ζ1100000000000000000000000000000
χ828-80002-4004-2−6i6i00000000000000000000000000000−4+4i34−4i3000−1+i32−2i300−2+2i31−i3−6ζ76ζ700000000000000000000000000000−4−4i34+4i3000−1−i32+2i300−2−2i31+i3−6ζ116ζ1100000000000000000000000000000
χ838-8000-426-6-240000000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−3+3i33−3i31−i3−2+2i30000000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−3−3i33+3i31+i3−2−2i30000000000000000000000000000000
χ848-8000-42-66-240000000000000000000000000000000−4+4i34−4i30002−2i3−1+i33−3i3−3+3i31−i3−2+2i30000000000000000000000000000000−4−4i34+4i30002+2i3−1−i33+3i3−3−3i31+i3−2−2i30000000000000000000000000000000
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
χ8611111111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1−1−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−i321+i321+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+i32−1+i32−1+i32−1+i32−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ871111111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1−1−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−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−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
χ89111-1-1111111-1-11-1-1-1-1-111-1-11-11-1-1111-111-1-11-111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−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+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32
χ90111-1-1111111-1-11-1-1-1-1-111-1-1-11-11-111-1111-1-1-11-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−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+i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ91111-1-1111111-1-11-1-1-1-1-1-1-1111-11-1-1111-1-1-1111-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ92111-1-1111111-1-11-1-1-1-1-1-1-111-11-11-111-11-1-111-1111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32
χ9311-11-111-1-11111-11-1-1-1-11-11-11-1-111-111-11-11-1-111-11-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32
χ9411-11-111-1-11111-11-1-1-1-11-11-1-111-11-11-111-11-11-1-11-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ9511-11-111-1-11111-11-1-1-1-1-11-111-1-111-111-1-11-11-11-11-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ9611-11-111-1-11111-11-1-1-1-1-11-11-111-11-11-11-11-111-11-11-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ9711-1-1111-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-11-1-11-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ9811-1-1111-1-111-1-1-1-111111-1-11-1-111-1-11-1-11-1-1111-111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ9911-1-1111-1-111-1-1-1-11111-111-111-1-1-1-1111-111-1-1-1-111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32
χ10011-1-1111-1-111-1-1-1-11111-111-1-1-111-1-11-1-1-111-1111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+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
χ102222-2-2222222-2-22-2-2-222000000002-2-2000000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+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+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i31−i3000000000000
χ10322-22-222-2-22222-22-2-22200000000-22-2000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3000000001+i3−1−i31+i3000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3000000001−i3−1+i31−i3000000000000
χ10422-2-2222-2-222-2-2-2-222-2-20000000022-2000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300000000−1−i3−1−i31+i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300000000−1+i3−1+i31−i3000000000000
χ105444441-2-2-2-21111-2-210000002222000-1-10000-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32000000−1−i3−1−i3−1−i3−1−i30001+i321+i3200001+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32000000−1+i3−1+i3−1+i3−1+i30001−i321−i3200001−i321−i320000
χ106444441-2-2-2-21111-2-21000000-2-2-2-2000110000110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i320000001+i31+i31+i31+i3000−1−i32−1−i320000−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i320000001−i31−i31−i31−i3000−1+i32−1+i320000−1+i32−1+i320000
χ10744444-21111-2-2-2-211-2002222000000000-1-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i300−1−i3−1−i3−1−i3−1−i30000000001+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i300−1+i3−1+i3−1+i3−1+i30000000001−i321−i321−i321−i32000000
χ10844444-21111-2-2-2-211-200-2-2-2-20000000001111000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i3001+i31+i31+i31+i3000000000−1−i32−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i3001−i31−i31−i31−i3000000000−1+i32−1+i32−1+i32−1+i32000000
χ109444-4-41-2-2-2-21-1-1122-10000002-22-2000-110000-110000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i32000000−1−i31+i3−1−i31+i30001+i32−1−i3200001+i32−1−i320000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i32000000−1+i31−i3−1+i31−i30001−i32−1+i3200001−i32−1+i320000
χ110444-4-41-2-2-2-21-1-1122-1000000-22-220001-100001-10000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i31+i31+i3−1−i321+i321+i32−1−i32−1−i3−1−i31+i320000001+i3−1−i31+i3−1−i3000−1−i321+i320000−1−i321+i320000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i31−i31−i3−1+i321−i321−i32−1+i32−1+i3−1+i31−i320000001−i3−1+i31−i3−1+i3000−1+i321−i320000−1+i321−i320000
χ111444-4-4-21111-222-2-1-120022-2-2000000000-1-111000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i300−1−i3−1−i31+i31+i30000000001+i321+i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i300−1+i3−1+i31−i31−i30000000001−i321−i32−1+i32−1+i32000000
χ112444-4-4-21111-222-2-1-1200-2-22200000000011-1-1000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i3001+i31+i3−1−i3−1−i3000000000−1−i32−1−i321+i321+i32000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i3001−i31−i3−1+i3−1+i3000000000−1+i32−1+i321−i321−i32000000
χ11344-44-41-222-2111-1-22-10000002-2-22000-1100001-10000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i321+i321+i3−1−i31+i32000000−1−i31+i31+i3−1−i30001+i32−1−i320000−1−i321+i320000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i321−i321−i3−1+i31−i32000000−1+i31−i31−i3−1+i30001−i32−1+i320000−1+i321−i320000
χ11444-44-41-222-2111-1-22-1000000-222-20001-10000-110000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i321+i321+i3−1−i31+i320000001+i3−1−i3−1−i31+i3000−1−i321+i3200001+i32−1−i320000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i321−i321−i3−1+i31−i320000001−i3−1+i3−1+i31−i3000−1+i321−i3200001−i32−1+i320000
χ11544-44-4-21-1-11-2-2-221-12002-22-2000000000-11-11000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i321+i32−1−i321+i31+i31+i3−1−i3−1−i321+i32−1−i300−1−i31+i3−1−i31+i30000000001+i32−1−i321+i32−1−i32000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i321−i32−1+i321−i31−i31−i3−1+i3−1+i321−i32−1+i300−1+i31−i3−1+i31−i30000000001−i32−1+i321−i32−1+i32000000
χ11644-44-4-21-1-11-2-2-221-1200-22-220000000001-11-1000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i321+i32−1−i321+i31+i31+i3−1−i3−1−i321+i32−1−i3001+i3−1−i31+i3−1−i3000000000−1−i321+i32−1−i321+i32000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i321−i32−1+i321−i31−i31−i3−1+i3−1+i321−i32−1+i3001−i3−1+i31−i3−1+i3000000000−1+i321−i32−1+i321−i32000000
χ11744-4-441-222-21-1-1-12-2100000022-2-2000-1-10000110000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i3−1−i31+i3−1−i321+i321+i321+i32−1−i31+i3−1−i32000000−1−i3−1−i31+i31+i30001+i321+i320000−1−i32−1−i320000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i3−1+i31−i3−1+i321−i321−i321−i32−1+i31−i3−1+i32000000−1+i3−1+i31−i31−i30001−i321−i320000−1+i32−1+i320000
χ11844-4-441-222-21-1-1-12-21000000-2-222000110000-1-10000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i3−1−i31+i3−1−i321+i321+i321+i32−1−i31+i3−1−i320000001+i31+i3−1−i3−1−i3000−1−i32−1−i3200001+i321+i320000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i3−1+i31−i3−1+i321−i321−i321−i32−1+i31−i3−1+i320000001−i31−i3−1+i3−1+i3000−1+i32−1+i3200001−i321−i320000
χ11944-4-44-21-1-11-2222-11-2002-2-22000000000-111-1000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i321+i32−1−i321+i3−1−i3−1−i3−1−i31+i32−1−i321+i300−1−i31+i31+i3−1−i30000000001+i32−1−i32−1−i321+i32000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i321−i32−1+i321−i3−1+i3−1+i3−1+i31−i32−1+i321−i300−1+i31−i31−i3−1+i30000000001−i32−1+i32−1+i321−i32000000
χ12044-4-44-21-1-11-2222-11-200-222-20000000001-1-11000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i321+i32−1−i321+i3−1−i3−1−i3−1−i31+i32−1−i321+i3001+i3−1−i3−1−i31+i3000000000−1−i321+i321+i32−1−i32000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i321−i32−1+i321−i3−1+i3−1+i3−1+i31−i32−1+i321−i3001−i3−1+i3−1+i31−i3000000000−1+i321−i321−i32−1+i32000000
χ1214-40004400-4-40000004-400000000000000000000000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i3000000−2−2i32+2i300000000000000000000000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i3000000−2+2i32−2i300000000000000000000000
χ1224-40004400-4-4000000-4400000000000000000000000−2−2i32+2i3000−2−2i3−2−2i3002+2i32+2i30000002+2i3−2−2i300000000000000000000000−2+2i32−2i3000−2+2i3−2+2i3002−2i32−2i30000002−2i3−2+2i300000000000000000000000
χ1238-80002-4004-26i−6i00000000000000000000000000000−4−4i34+4i3000−1−i32+2i300−2−2i31+i36ζ11−6ζ1100000000000000000000000000000−4+4i34−4i3000−1+i32−2i300−2+2i31−i36ζ7−6ζ700000000000000000000000000000
χ1248-80002-4004-2−6i6i00000000000000000000000000000−4−4i34+4i3000−1−i32+2i300−2−2i31+i3−6ζ116ζ1100000000000000000000000000000−4+4i34−4i3000−1+i32−2i300−2+2i31−i3−6ζ76ζ700000000000000000000000000000
χ1258-8000-426-6-240000000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−3−3i33+3i31+i3−2−2i30000000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−3+3i33−3i31−i3−2+2i30000000000000000000000000000000
χ1268-8000-42-66-240000000000000000000000000000000−4−4i34+4i30002+2i3−1−i33+3i3−3−3i31+i3−2−2i30000000000000000000000000000000−4+4i34−4i30002−2i3−1+i33−3i3−3+3i31−i3−2+2i30000000000000000000000000000000

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