Finite Group Databasebeta

← Group #13181040

Character table — Group #13181040

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444888888121212121212121212121212181818181818242424242424363636112224444888888121212121212121212121212181818181818242424242424363636112224444888888121212121212121212121212181818181818242424242424363636
order12444336612121212121222224444661212222488666121212888361212123366121212121212666612121212661212666122424666121212242424361212123366121212121212666612121212661212666122424666121212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-11-1-1-1-1-1111111-1-1111-1-1-1-1-1-1111111111111111111-11-1-1-1-1-1111111-1-1111-1-1-1-1-1-1111111111111111111-11-1-1-1-1-1111111-1-1111-1-1-1-1-1-1
χ3111111111111111-1-1-11-111111-1-11111-1-1-1-1-1111-1-1-1111111111111111-1-1-11-111111-1-11111-1-1-1-1-1111-1-1-1111111111111111-1-1-11-111111-1-11111-1-1-1-1-1111-1-1-1
χ4111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ5111-1-111111-1-11-1-111-11-11-1-111-1-11-1-11-1-111-11-1-111-1111-1-111111-1-11-1-111-11-11-1-111-1-11-1-11-1-111-11-1-111-1111-1-111111-1-11-1-111-11-11-1-111-1-11-1-11-1-111-11-1-111-1
χ6111-1-111111-1-11-1-111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11111-1-111111-1-11-1-111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11111-1-111111-1-11-1-111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11
χ7111-1-111111-1-11-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-11111-1-111111-1-11-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-11111-1-111111-1-11-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-11
χ8111-1-111111-1-11-1-1-1-11-11-111-1-1111-1-11-1-1-1-11-11111-1111-1-111111-1-11-1-1-1-11-11-111-1-1111-1-11-1-1-1-11-11111-1111-1-111111-1-11-1-1-1-11-11-111-1-1111-1-11-1-1-1-11-11111-1
χ911-11-11111-11-1-11-11-111-1-11-111-1-1-11-11-1-11-11-11-11-1111-11-11111-11-1-11-11-111-1-11-111-1-1-11-11-1-11-11-11-11-1111-11-11111-11-1-11-11-111-1-11-111-1-1-11-11-1-11-11-11-11-11
χ1011-11-11111-11-1-11-11-11-1-11-11-1-1-1-1-11-11111-111-11-11-111-11-11111-11-1-11-11-11-1-11-11-1-1-1-1-11-11111-111-11-11-111-11-11111-11-1-11-11-11-1-11-11-1-1-1-1-11-11111-111-11-11-1
χ1111-11-11111-11-1-11-1-11-111-11-11111-11-1111-11-1-11-1-11-111-11-11111-11-1-11-1-11-111-11-11111-11-1111-11-1-11-1-11-111-11-11111-11-1-11-1-11-111-11-11111-11-1111-11-1-11-1-11-1
χ1211-11-11111-11-1-11-1-11-1-111-11-1-111-11-11-1-1-11-11-111-1111-11-11111-11-1-11-1-11-1-111-11-1-111-11-11-1-1-11-11-111-1111-11-11111-11-1-11-1-11-1-111-11-1-111-11-11-1-1-11-11-111-11
χ1311-1-111111-1-11-1-111-1-111-1-111111-1-111111-1-1-1-111-1-111-1-111111-1-11-1-111-1-111-1-111111-1-111111-1-1-1-111-1-111-1-111111-1-11-1-111-1-111-1-111111-1-111111-1-1-1-111-1-1
χ1411-1-111111-1-11-1-111-1-1-1111-1-1-111-1-111-1-11-1-111-1-11111-1-111111-1-11-1-111-1-1-1111-1-1-111-1-111-1-11-1-111-1-11111-1-111111-1-11-1-111-1-1-1111-1-1-111-1-111-1-11-1-111-1-111
χ1511-1-111111-1-11-1-11-1111-1-1-1111-1-1-1-111-1-1-111-1-11-11111-1-111111-1-11-1-11-1111-1-1-1111-1-1-1-111-1-1-111-1-11-11111-1-111111-1-11-1-11-1111-1-1-1111-1-1-1-111-1-1-111-1-11-111
χ1611-1-111111-1-11-1-11-111-1-111-1-1-1-1-1-1-11111-11111-11-1-111-1-111111-1-11-1-11-111-1-111-1-1-1-1-1-1-11111-11111-11-1-111-1-111111-1-11-1-11-111-1-111-1-1-1-1-1-1-11111-11111-11-1-1
χ17222222222222222000000000000-2-2-2-200000000000222222222222222000000000000-2-2-2-200000000000222222222222222000000000000-2-2-2-200000000000
χ18222-2-222222-2-22-2-2000000000000-222-200000000000222-2-222222-2-22-2-2000000000000-222-200000000000222-2-222222-2-22-2-2000000000000-222-200000000000
χ1922-22-22222-22-2-22-20000000000002-22-20000000000022-22-22222-22-2-22-20000000000002-22-20000000000022-22-22222-22-2-22-20000000000002-22-200000000000
χ2022-2-222222-2-22-2-2200000000000022-2-20000000000022-2-222222-2-22-2-2200000000000022-2-20000000000022-2-222222-2-22-2-2200000000000022-2-200000000000
χ21444441-2-21-2-2-211100020222-1-100000000000-1-1-1000444441-2-21-2-2-211100020222-1-100000000000-1-1-1000444441-2-21-2-2-211100020222-1-100000000000-1-1-1000
χ22444441-2-21-2-2-2111000-20-2-2-21100000000000111000444441-2-21-2-2-2111000-20-2-2-21100000000000111000444441-2-21-2-2-2111000-20-2-2-21100000000000111000
χ2344444-211-2111-2-2-22220200000-1-1000000-1-1-100000044444-211-2111-2-2-22220200000-1-1000000-1-1-100000044444-211-2111-2-2-22220200000-1-1000000-1-1-1000000
χ2444444-211-2111-2-2-2-2-2-20-2000001100000011100000044444-211-2111-2-2-2-2-2-20-2000001100000011100000044444-211-2111-2-2-2-2-2-20-20000011000000111000000
χ25444-4-41-2-21-2221-1-1000202-2-2-1-100000000000-111000444-4-41-2-21-2221-1-1000202-2-2-1-100000000000-111000444-4-41-2-21-2221-1-1000202-2-2-1-100000000000-111000
χ26444-4-41-2-21-2221-1-1000-20-22211000000000001-1-1000444-4-41-2-21-2221-1-1000-20-22211000000000001-1-1000444-4-41-2-21-2221-1-1000-20-22211000000000001-1-1000
χ27444-4-4-211-21-1-1-22222-20-20000011000000-1-11000000444-4-4-211-21-1-1-22222-20-20000011000000-1-11000000444-4-4-211-21-1-1-22222-20-20000011000000-1-11000000
χ28444-4-4-211-21-1-1-222-2-220200000-1-100000011-1000000444-4-4-211-21-1-1-222-2-220200000-1-100000011-1000000444-4-4-211-21-1-1-222-2-220200000-1-100000011-1000000
χ2944-44-41-2-212-22-11-100020-22-2-1-1000000000001-1100044-44-41-2-212-22-11-100020-22-2-1-1000000000001-1100044-44-41-2-212-22-11-100020-22-2-1-1000000000001-11000
χ3044-44-41-2-212-22-11-1000-202-221100000000000-11-100044-44-41-2-212-22-11-1000-202-221100000000000-11-100044-44-41-2-212-22-11-1000-202-221100000000000-11-1000
χ3144-44-4-211-2-11-12-222-220-20000011000000-11-100000044-44-4-211-2-11-12-222-220-20000011000000-11-100000044-44-4-211-2-11-12-222-220-20000011000000-11-1000000
χ3244-44-4-211-2-11-12-22-22-20200000-1-10000001-1100000044-44-4-211-2-11-12-22-22-20200000-1-10000001-1100000044-44-4-211-2-11-12-22-22-20200000-1-10000001-11000000
χ3344-4-441-2-2122-2-1-1100020-2-22-1-10000000000011-100044-4-441-2-2122-2-1-1100020-2-22-1-10000000000011-100044-4-441-2-2122-2-1-1100020-2-22-1-10000000000011-1000
χ3444-4-441-2-2122-2-1-11000-2022-21100000000000-1-1100044-4-441-2-2122-2-1-11000-2022-21100000000000-1-1100044-4-441-2-2122-2-1-11000-2022-21100000000000-1-11000
χ3544-4-44-211-2-1-1122-22-2-20200000-1-1000000-11100000044-4-44-211-2-1-1122-22-2-20200000-1-1000000-11100000044-4-44-211-2-1-1122-22-2-20200000-1-1000000-111000000
χ3644-4-44-211-2-1-1122-2-2220-200000110000001-1-100000044-4-44-211-2-1-1122-2-2220-200000110000001-1-100000044-4-44-211-2-1-1122-2-2220-200000110000001-1-1000000
χ374-400044-4-40000000000000000000000−2i22i20000000004-400044-4-40000000000000000000000−2i22i20000000004-400044-4-40000000000000000000000−2i22i2000000000
χ384-400044-4-400000000000000000000002i2−2i20000000004-400044-4-400000000000000000000002i2−2i20000000004-400044-4-400000000000000000000002i2−2i2000000000
χ398-80002-44-200000000000000−2i32i3000000000000000008-80002-44-200000000000000−2i32i3000000000000000008-80002-44-200000000000000−2i32i300000000000000000
χ408-80002-44-2000000000000002i3−2i3000000000000000008-80002-44-2000000000000002i3−2i3000000000000000008-80002-44-2000000000000002i3−2i300000000000000000
χ418-8000-42-24000000000000000023−230000000000000008-8000-42-24000000000000000023−230000000000000008-8000-42-24000000000000000023−23000000000000000
χ428-8000-42-240000000000000000−23230000000000000008-8000-42-240000000000000000−23230000000000000008-8000-42-240000000000000000−2323000000000000000
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
χ44111111111111111111-11-1-1-1-1-1111111-1-1111-1-1-1-1-1-1−1+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+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ45111111111111111-1-1-11-111111-1-11111-1-1-1-1-1111-1-1-1−1+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+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ46111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111−1+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+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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−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+i321+i321+i321+i321+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
χ47111-1-111111-1-11-1-111-11-11-1-111-1-11-1-11-1-111-11-1-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−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−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ48111-1-111111-1-11-1-111-1-1-1-111-1-1-1-11-1-111111-1-111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ49111-1-111111-1-11-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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
χ50111-1-111111-1-11-1-1-1-11-11-111-1-1111-1-11-1-1-1-11-11111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ5111-11-11111-11-1-11-11-111-1-11-111-1-1-11-11-1-11-11-11-11-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−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−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ5211-11-11111-11-1-11-11-11-1-11-11-1-1-1-1-11-11111-111-11-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ5311-11-11111-11-1-11-1-11-111-11-11111-11-1111-11-1-11-1-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32
χ5411-11-11111-11-1-11-1-11-1-111-11-1-111-11-11-1-1-11-11-111-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ5511-1-111111-1-11-1-111-1-111-1-111111-1-111111-1-1-1-111-1-1−1+i32−1+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+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−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−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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ5611-1-111111-1-11-1-111-1-1-1111-1-1-111-1-111-1-11-1-111-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ5711-1-111111-1-11-1-11-1111-1-1-1111-1-1-1-111-1-1-111-1-11-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32
χ5811-1-111111-1-11-1-11-111-1-111-1-1-1-1-1-1-11111-11111-11-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ59222222222222222000000000000-2-2-2-200000000000−1+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+i30000000000001−i31−i31−i31−i300000000000−1−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−i30000000000001+i31+i31+i31+i300000000000
χ60222-2-222222-2-22-2-2000000000000-222-200000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000000000001−i3−1+i3−1+i31−i300000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000000000001+i3−1−i3−1−i31+i300000000000
χ6122-22-22222-22-2-22-20000000000002-22-200000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3000000000000−1+i31−i3−1+i31−i300000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3000000000000−1−i31+i3−1−i31+i300000000000
χ6222-2-222222-2-22-2-2200000000000022-2-200000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3000000000000−1+i3−1+i31−i31−i300000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3000000000000−1−i3−1−i31+i31+i300000000000
χ63444441-2-21-2-2-211100020222-1-100000000000-1-1-1000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i32000−1+i30−1+i3−1+i3−1+i31−i321−i32000000000001−i321−i321−i32000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i32000−1−i30−1−i3−1−i3−1−i31+i321+i32000000000001+i321+i321+i32000
χ64444441-2-21-2-2-2111000-20-2-2-21100000000000111000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i320001−i301−i31−i31−i3−1+i32−1+i3200000000000−1+i32−1+i32−1+i32000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i320001+i301+i31+i31+i3−1−i32−1−i3200000000000−1−i32−1−i32−1−i32000
χ6544444-211-2111-2-2-22220200000-1-1000000-1-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i3−1+i30−1+i3000001−i321−i320000001−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i3−1−i30−1−i3000001+i321+i320000001+i321+i321+i32000000
χ6644444-211-2111-2-2-2-2-2-20-20000011000000111000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i301−i300000−1+i32−1+i32000000−1+i32−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i301+i300000−1−i32−1−i32000000−1−i32−1−i32−1−i32000000
χ67444-4-41-2-21-2221-1-1000202-2-2-1-100000000000-111000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i32000−1+i30−1+i31−i31−i31−i321−i32000000000001−i32−1+i32−1+i32000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i32000−1−i30−1−i31+i31+i31+i321+i32000000000001+i32−1−i32−1−i32000
χ68444-4-41-2-21-2221-1-1000-20-22211000000000001-1-1000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i320001−i301−i3−1+i3−1+i3−1+i32−1+i3200000000000−1+i321−i321−i32000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i320001+i301+i3−1−i3−1−i3−1−i32−1−i3200000000000−1−i321+i321+i32000
χ69444-4-4-211-21-1-1-22222-20-20000011000000-1-11000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i321−i3−1+i321−i321−i321−i3−1+i3−1+i3−1+i3−1+i31−i301−i300000−1+i32−1+i320000001−i321−i32−1+i32000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i321+i3−1−i321+i321+i321+i3−1−i3−1−i3−1−i3−1−i31+i301+i300000−1−i32−1−i320000001+i321+i32−1−i32000000
χ70444-4-4-211-21-1-1-222-2-220200000-1-100000011-1000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i321−i3−1+i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i30−1+i3000001−i321−i32000000−1+i32−1+i321−i32000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i321+i3−1−i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i30−1−i3000001+i321+i32000000−1−i32−1−i321+i32000000
χ7144-44-41-2-212-22-11-100020-22-2-1-1000000000001-11000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i3−1+i31−i32−1+i321−i32000−1+i301−i3−1+i31−i31−i321−i3200000000000−1+i321−i32−1+i32000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i3−1−i31+i32−1−i321+i32000−1−i301+i3−1−i31+i31+i321+i3200000000000−1−i321+i32−1−i32000
χ7244-44-41-2-212-22-11-1000-202-221100000000000-11-1000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i3−1+i31−i32−1+i321−i320001−i30−1+i31−i3−1+i3−1+i32−1+i32000000000001−i32−1+i321−i32000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i3−1−i31+i32−1−i321+i320001+i30−1−i31+i3−1−i3−1−i32−1−i32000000000001+i32−1−i321+i32000
χ7344-44-4-211-2-11-12-222-220-20000011000000-11-1000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i321−i32−1+i31−i3−1+i3−1+i31−i3−1+i301−i300000−1+i32−1+i320000001−i32−1+i321−i32000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i321+i32−1−i31+i3−1−i3−1−i31+i3−1−i301+i300000−1−i32−1−i320000001+i32−1−i321+i32000000
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χ101222222222222222000000000000-2-2-2-200000000000−1−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−i30000000000001+i31+i31+i31+i300000000000−1+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+i30000000000001−i31−i31−i31−i300000000000
χ102222-2-222222-2-22-2-2000000000000-222-200000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000000000001+i3−1−i3−1−i31+i300000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000000000001−i3−1+i3−1+i31−i300000000000
χ10322-22-22222-22-2-22-20000000000002-22-200000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3000000000000−1−i31+i3−1−i31+i300000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3000000000000−1+i31−i3−1+i31−i300000000000
χ10422-2-222222-2-22-2-2200000000000022-2-200000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3000000000000−1−i3−1−i31+i31+i300000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3000000000000−1+i3−1+i31−i31−i300000000000
χ105444441-2-21-2-2-211100020222-1-100000000000-1-1-1000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i32000−1−i30−1−i3−1−i3−1−i31+i321+i32000000000001+i321+i321+i32000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i32000−1+i30−1+i3−1+i3−1+i31−i321−i32000000000001−i321−i321−i32000
χ106444441-2-21-2-2-2111000-20-2-2-21100000000000111000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i31+i3−1−i321+i31+i31+i3−1−i32−1−i32−1−i320001+i301+i31+i31+i3−1−i32−1−i3200000000000−1−i32−1−i32−1−i32000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i31−i3−1+i321−i31−i31−i3−1+i32−1+i32−1+i320001−i301−i31−i31−i3−1+i32−1+i3200000000000−1+i32−1+i32−1+i32000
χ10744444-211-2111-2-2-22220200000-1-1000000-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i3−1−i30−1−i3000001+i321+i320000001+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i3−1+i30−1+i3000001−i321−i320000001−i321−i321−i32000000
χ10844444-211-2111-2-2-2-2-2-20-20000011000000111000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i301+i300000−1−i32−1−i32000000−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i301−i300000−1+i32−1+i32000000−1+i32−1+i32−1+i32000000
χ109444-4-41-2-21-2221-1-1000202-2-2-1-100000000000-111000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i32000−1−i30−1−i31+i31+i31+i321+i32000000000001+i32−1−i32−1−i32000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i32000−1+i30−1+i31−i31−i31−i321−i32000000000001−i32−1+i32−1+i32000
χ110444-4-41-2-21-2221-1-1000-20-22211000000000001-1-1000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i31+i3−1−i321+i3−1−i3−1−i3−1−i321+i321+i320001+i301+i3−1−i3−1−i3−1−i32−1−i3200000000000−1−i321+i321+i32000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i31−i3−1+i321−i3−1+i3−1+i3−1+i321−i321−i320001−i301−i3−1+i3−1+i3−1+i32−1+i3200000000000−1+i321−i321−i32000
χ111444-4-4-211-21-1-1-22222-20-20000011000000-1-11000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i321+i3−1−i321+i321+i321+i3−1−i3−1−i3−1−i3−1−i31+i301+i300000−1−i32−1−i320000001+i321+i32−1−i32000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i321−i3−1+i321−i321−i321−i3−1+i3−1+i3−1+i3−1+i31−i301−i300000−1+i32−1+i320000001−i321−i32−1+i32000000
χ112444-4-4-211-21-1-1-222-2-220200000-1-100000011-1000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i32−1−i321+i3−1−i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i30−1−i3000001+i321+i32000000−1−i32−1−i321+i32000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i32−1+i321−i3−1+i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i30−1+i3000001−i321−i32000000−1+i32−1+i321−i32000000
χ11344-44-41-2-212-22-11-100020-22-2-1-1000000000001-11000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i3−1−i31+i32−1−i321+i32000−1−i301+i3−1−i31+i31+i321+i3200000000000−1−i321+i32−1−i32000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i3−1+i31−i32−1+i321−i32000−1+i301−i3−1+i31−i31−i321−i3200000000000−1+i321−i32−1+i32000
χ11444-44-41-2-212-22-11-1000-202-221100000000000-11-1000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i31+i3−1−i32−1−i31+i3−1−i31+i32−1−i321+i320001+i30−1−i31+i3−1−i3−1−i32−1−i32000000000001+i32−1−i321+i32000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i31−i3−1+i32−1+i31−i3−1+i31−i32−1+i321−i320001−i30−1+i31−i3−1+i3−1+i32−1+i32000000000001−i32−1+i321−i32000
χ11544-44-4-211-2-11-12-222-220-20000011000000-11-1000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i321+i32−1−i31+i3−1−i3−1−i31+i3−1−i301+i300000−1−i32−1−i320000001+i32−1−i321+i32000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i321−i32−1+i31−i3−1+i3−1+i31−i3−1+i301−i300000−1+i32−1+i320000001−i32−1+i321−i32000000
χ11644-44-4-211-2-11-12-22-22-20200000-1-10000001-11000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i32−1−i321+i31+i32−1−i321+i32−1−i31+i3−1−i31+i3−1−i31+i30−1−i3000001+i321+i32000000−1−i321+i32−1−i32000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i32−1+i321−i31−i32−1+i321−i32−1+i31−i3−1+i31−i3−1+i31−i30−1+i3000001−i321−i32000000−1+i321−i32−1+i32000000
χ11744-4-441-2-2122-2-1-1100020-2-22-1-10000000000011-1000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i3−1−i32−1−i3−1−i31+i31+i321+i32−1−i32000−1−i301+i31+i3−1−i31+i321+i3200000000000−1−i32−1−i321+i32000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i3−1+i32−1+i3−1+i31−i31−i321−i32−1+i32000−1+i301−i31−i3−1+i31−i321−i3200000000000−1+i32−1+i321−i32000
χ11844-4-441-2-2122-2-1-11000-2022-21100000000000-1-11000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i31+i3−1−i32−1−i3−1−i31+i31+i321+i32−1−i320001+i30−1−i3−1−i31+i3−1−i32−1−i32000000000001+i321+i32−1−i32000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i31−i3−1+i32−1+i3−1+i31−i31−i321−i32−1+i320001−i30−1+i3−1+i31−i3−1+i32−1+i32000000000001−i321−i32−1+i32000
χ11944-4-44-211-2-1-1122-22-2-20200000-1-1000000-111000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i321+i31+i321+i32−1−i32−1−i3−1−i31+i3−1−i31+i31+i30−1−i3000001+i321+i320000001+i32−1−i32−1−i32000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i321−i31−i321−i32−1+i32−1+i3−1+i31−i3−1+i31−i31−i30−1+i3000001−i321−i320000001−i32−1+i32−1+i32000000
χ12044-4-44-211-2-1-1122-2-2220-200000110000001-1-1000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i32−1−i321+i31+i321+i32−1−i32−1−i3−1−i31+i31+i3−1−i3−1−i301+i300000−1−i32−1−i32000000−1−i321+i321+i32000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i32−1+i321−i31−i321−i32−1+i32−1+i3−1+i31−i31−i3−1+i3−1+i301−i300000−1+i32−1+i32000000−1+i321−i321−i32000000
χ1214-400044-4-40000000000000000000000−2i22i2000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i300000000000000000000002ζ7+2ζ13−2ζ7−2ζ13000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i300000000000000000000002ζ5+2ζ23−2ζ5−2ζ23000000000
χ1224-400044-4-400000000000000000000002i2−2i2000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i30000000000000000000000−2ζ7−2ζ132ζ7+2ζ13000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i30000000000000000000000−2ζ5−2ζ232ζ5+2ζ23000000000
χ1238-80002-44-200000000000000−2i32i300000000000000000−4−4i34+4i3000−1−i32+2i3−2−2i31+i300000000000000−3+i33−i300000000000000000−4+4i34−4i3000−1+i32−2i3−2+2i31−i3000000000000003+i3−3−i300000000000000000
χ1248-80002-44-2000000000000002i3−2i300000000000000000−4−4i34+4i3000−1−i32+2i3−2−2i31+i3000000000000003−i3−3+i300000000000000000−4+4i34−4i3000−1+i32−2i3−2+2i31−i300000000000000−3−i33+i300000000000000000
χ1258-8000-42-24000000000000000023−23000000000000000−4−4i34+4i30002+2i3−1−i31+i3−2−2i300000000000000004ζ14+2ζ22−4ζ14−2ζ22000000000000000−4+4i34−4i30002−2i3−1+i31−i3−2+2i30000000000000000−2ζ14−4ζ222ζ14+4ζ22000000000000000
χ1268-8000-42-240000000000000000−2323000000000000000−4−4i34+4i30002+2i3−1−i31+i3−2−2i30000000000000000−4ζ14−2ζ224ζ14+2ζ22000000000000000−4+4i34−4i30002−2i3−1+i31−i3−2+2i300000000000000002ζ14+4ζ22−2ζ14−4ζ22000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.