Finite Group Databasebeta

← Group #11781825

Character table — Group #11781825

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222444444444444444444416161616161624242424242424241111222222224444444444444444444161616161616242424242424242411112222222244444444444444444441616161616162424242424242424
order122234444666488881212121212122424242424242424441212121224888888366631212121266612242424241212121212122424242424242424121212121212612242424242424366631212121266612242424241212121212122424242424242424121212121212612242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1
χ61111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111
χ71111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111
χ81111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1
χ9222222-2-22222-2000022-2-2-2-2000000000000002-2000000222222-2-22222-2000022-2-2-2-2000000000000002-2000000222222-2-22222-2000022-2-2-2-2000000000000002-2000000
χ10222222-2-22222-2000022-2-2-2-200000000000000-22000000222222-2-22222-2000022-2-2-2-200000000000000-22000000222222-2-22222-2000022-2-2-2-200000000000000-22000000
χ1122222-222-2222-222-2-2-2-2-2-2222222-2-2-2-20000000000000022222-222-2222-222-2-2-2-2-2-2222222-2-2-2-20000000000000022222-222-2222-222-2-2-2-2-2-2222222-2-2-2-200000000000000
χ1222222-222-2222-2-2-222-2-2-2-222-2-2-2-222220000000000000022222-222-2222-2-2-222-2-2-2-222-2-2-2-222220000000000000022222-222-2222-2-2-222-2-2-2-222-2-2-2-2222200000000000000
χ1322222-2-2-2-222220000-2-222-2-200000000000000002i−2i000022222-2-2-2-222220000-2-222-2-200000000000000002i−2i000022222-2-2-2-222220000-2-222-2-200000000000000002i−2i0000
χ1422222-2-2-2-222220000-2-222-2-20000000000000000−2i2i000022222-2-2-2-222220000-2-222-2-20000000000000000−2i2i000022222-2-2-2-222220000-2-222-2-20000000000000000−2i2i0000
χ152222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000002222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000
χ162222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000002222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000002222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000
χ172222-12222-1-1-12-2-2-2-2-1-1-1-1-1-1111111112-2-1-111000000002222-12222-1-1-12-2-2-2-2-1-1-1-1-1-1111111112-2-1-111000000002222-12222-1-1-12-2-2-2-2-1-1-1-1-1-1111111112-2-1-11100000000
χ182222-12222-1-1-12-2-2-2-2-1-1-1-1-1-111111111-2211-1-1000000002222-12222-1-1-12-2-2-2-2-1-1-1-1-1-111111111-2211-1-1000000002222-12222-1-1-12-2-2-2-2-1-1-1-1-1-111111111-2211-1-100000000
χ192222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100−i3i3−i3i3000000002222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100−i3i3−i3i3000000002222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100−i3i3−i3i300000000
χ202222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100i3−i3i3−i3000000002222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100i3−i3i3−i3000000002222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100i3−i3i3−i300000000
χ212222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100−i3i3i3−i3000000002222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100−i3i3i3−i3000000002222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100−i3i3i3−i300000000
χ222222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100i3−i3−i3i3000000002222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100i3−i3−i3i3000000002222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100i3−i3−i3i300000000
χ232-2-2220-2202-2-20002-200002-2000022-2-20000000000−i2i2−i2i22-2-2220-2202-2-20002-200002-2000022-2-20000000000−i2i2−i2i22-2-2220-2202-2-20002-200002-2000022-2-20000000000−i2i2−i2i2
χ242-2-2220-2202-2-20002-200002-2000022-2-20000000000i2−i2i2−i22-2-2220-2202-2-20002-200002-2000022-2-20000000000i2−i2i2−i22-2-2220-2202-2-20002-200002-2000022-2-20000000000i2−i2i2−i2
χ252-2-2220-2202-2-2000-2200002-20000-2-2220000000000−i2i2i2−i22-2-2220-2202-2-2000-2200002-20000-2-2220000000000−i2i2i2−i22-2-2220-2202-2-2000-2200002-20000-2-2220000000000−i2i2i2−i2
χ262-2-2220-2202-2-2000-2200002-20000-2-2220000000000i2−i2−i2i22-2-2220-2202-2-2000-2200002-20000-2-2220000000000i2−i2−i2i22-2-2220-2202-2-2000-2200002-20000-2-2220000000000i2−i2−i2i2
χ274444-24-4-44-2-2-2-40000-2-2222200000000000000000000004444-24-4-44-2-2-2-40000-2-2222200000000000000000000004444-24-4-44-2-2-2-40000-2-222220000000000000000000000
χ284444-2-4-4-4-4-2-2-24000022-2-22200000000000000000000004444-2-4-4-4-4-2-2-24000022-2-22200000000000000000000004444-2-4-4-4-4-2-2-24000022-2-2220000000000000000000000
χ2944-4-440000-44-40−2i22i200000000−2i2−2i22i22i200000000000000000044-4-440000-44-40−2i22i200000000−2i2−2i22i22i200000000000000000044-4-440000-44-40−2i22i200000000−2i2−2i22i22i2000000000000000000
χ3044-4-440000-44-402i2−2i2000000002i22i2−2i2−2i200000000000000000044-4-440000-44-402i2−2i2000000002i22i2−2i2−2i200000000000000000044-4-440000-44-402i2−2i2000000002i22i2−2i2−2i2000000000000000000
χ3144-4-4-200002-220−2i22i20000−2i32i300i2i2−i2−i26−66−60000000000000044-4-4-200002-220−2i22i20000−2i32i300i2i2−i2−i26−66−60000000000000044-4-4-200002-220−2i22i20000−2i32i300i2i2−i2−i26−66−600000000000000
χ3244-4-4-200002-220−2i22i200002i3−2i300i2i2−i2−i2−66−660000000000000044-4-4-200002-220−2i22i200002i3−2i300i2i2−i2−i2−66−660000000000000044-4-4-200002-220−2i22i200002i3−2i300i2i2−i2−i2−66−6600000000000000
χ3344-4-4-200002-2202i2−2i20000−2i32i300−i2−i2i2i2−66−660000000000000044-4-4-200002-2202i2−2i20000−2i32i300−i2−i2i2i2−66−660000000000000044-4-4-200002-2202i2−2i20000−2i32i300−i2−i2i2i2−66−6600000000000000
χ3444-4-4-200002-2202i2−2i200002i3−2i300−i2−i2i2i26−66−60000000000000044-4-4-200002-2202i2−2i200002i3−2i300−i2−i2i2i26−66−60000000000000044-4-4-200002-2202i2−2i200002i3−2i300−i2−i2i2i26−66−600000000000000
χ354-44-44400-4-4-44000004-4000000000000000000000000004-44-44400-4-4-44000004-4000000000000000000000000004-44-44400-4-4-44000004-400000000000000000000000000
χ364-44-44-4004-4-4400000-44000000000000000000000000004-44-44-4004-4-4400000-44000000000000000000000000004-44-44-4004-4-4400000-4400000000000000000000000000
χ374-44-4-2400-422-200000-2200006−66−66−6−66000000000000004-44-4-2400-422-200000-2200006−66−66−6−66000000000000004-44-4-2400-422-200000-2200006−66−66−6−6600000000000000
χ384-44-4-2400-422-200000-220000−66−66−666−6000000000000004-44-4-2400-422-200000-220000−66−66−666−6000000000000004-44-4-2400-422-200000-220000−66−66−666−600000000000000
χ394-44-4-2-400422-2000002-200006−66−6−666−6000000000000004-44-4-2-400422-2000002-200006−66−6−666−6000000000000004-44-4-2-400422-2000002-200006−66−6−666−600000000000000
χ404-44-4-2-400422-2000002-20000−66−666−6−66000000000000004-44-4-2-400422-2000002-20000−66−666−6−66000000000000004-44-4-2-400422-2000002-20000−66−666−6−6600000000000000
χ414-4-44404-404-4-4000000000-4400000000000000000000004-4-44404-404-4-4000000000-4400000000000000000000004-4-44404-404-4-4000000000-440000000000000000000000
χ424-4-44-204-40-2220000000002-2−2i32i32i3−2i30000000000000000004-4-44-204-40-2220000000002-2−2i32i32i3−2i30000000000000000004-4-44-204-40-2220000000002-2−2i32i32i3−2i3000000000000000000
χ434-4-44-204-40-2220000000002-22i3−2i3−2i32i30000000000000000004-4-44-204-40-2220000000002-22i3−2i3−2i32i30000000000000000004-4-44-204-40-2220000000002-22i3−2i3−2i32i3000000000000000000
χ444-4-44-20-440-2220004-40000-220000-2-222000000000000004-4-44-20-440-2220004-40000-220000-2-222000000000000004-4-44-20-440-2220004-40000-220000-2-22200000000000000
χ454-4-44-20-440-222000-440000-22000022-2-2000000000000004-4-44-20-440-222000-440000-22000022-2-2000000000000004-4-44-20-440-222000-440000-22000022-2-200000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ481111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ491111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111−1+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+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−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32
χ501111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ511111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ521111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ531111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ54222222-2-22222-2000022-2-2-2-2000000000000002-2000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i30000−1+i3−1+i31−i31−i31−i31−i300000000000000−1+i31−i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i30000−1−i3−1−i31+i31+i31+i31+i300000000000000−1−i31+i3000000
χ55222222-2-22222-2000022-2-2-2-200000000000000-22000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i30000−1+i3−1+i31−i31−i31−i31−i3000000000000001−i3−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i30000−1−i3−1−i31+i31+i31+i31+i3000000000000001+i3−1−i3000000
χ5622222-222-2222-222-2-2-2-2-2-2222222-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000
χ5722222-222-2222-2-2-222-2-2-2-222-2-2-2-2222200000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000
χ5822222-2-2-2-222220000-2-222-2-200000000000000002i−2i0000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i300000000000000002ζ14−2ζ140000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i300000000000000002ζ22−2ζ220000
χ5922222-2-2-2-222220000-2-222-2-20000000000000000−2i2i0000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i30000000000000000−2ζ142ζ140000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i30000000000000000−2ζ222ζ220000
χ602222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000
χ612222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000
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χ632222-12222-1-1-12-2-2-2-2-1-1-1-1-1-111111111-2211-1-100000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i3200000000
χ642222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100−i3i3−i3i300000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200000000
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χ734444-2-4-4-4-4-2-2-24000022-2-2220000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i3−2+2i30000−1+i3−1+i31−i31−i3−1+i3−1+i30000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i3−2−2i30000−1−i3−1−i31+i31+i3−1−i3−1−i30000000000000000000000
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χ10322222-2-2-2-222220000-2-222-2-200000000000000002i−2i0000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i300000000000000002ζ22−2ζ220000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i300000000000000002ζ14−2ζ140000
χ10422222-2-2-2-222220000-2-222-2-20000000000000000−2i2i0000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i30000000000000000−2ζ222ζ220000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i30000000000000000−2ζ142ζ140000
χ1052222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000
χ1062222-12222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000
χ1072222-12222-1-1-12-2-2-2-2-1-1-1-1-1-1111111112-2-1-11100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i32−1+i3200000000
χ1082222-12222-1-1-12-2-2-2-2-1-1-1-1-1-111111111-2211-1-100000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i3200000000
χ1092222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100−i3i3−i3i300000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200000000
χ1102222-1-222-2-1-1-1-222-2-21111-1-1-1-1-1-1111100i3−i3i3−i300000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i3200000000
χ1112222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100−i3i3i3−i300000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200−3+i323−i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32003+i32−3−i32−3−i323+i3200000000
χ1122222-1-222-2-1-1-1-2-2-2221111-1-11111-1-1-1-100i3−i3−i3i300000000−1−i3−1−i3−1−i3−1−i31+i321+i3−1−i3−1−i31+i31+i321+i321+i321+i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32003−i32−3+i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i31−i321−i3−1+i3−1+i31−i31−i321−i321−i321−i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200−3−i323+i323+i32−3−i3200000000
χ1132-2-2220-2202-2-20002-200002-2000022-2-20000000000−i2i2−i2i2−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i3000−1−i31+i30000−1−i31+i30000−1−i3−1−i31+i31+i30000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i3000−1+i31−i30000−1+i31−i30000−1+i3−1+i31−i31−i30000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23
χ1142-2-2220-2202-2-20002-200002-2000022-2-20000000000i2−i2i2−i2−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i3000−1−i31+i30000−1−i31+i30000−1−i3−1−i31+i31+i30000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i3000−1+i31−i30000−1+i31−i30000−1+i3−1+i31−i31−i30000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23
χ1152-2-2220-2202-2-2000-2200002-20000-2-2220000000000−i2i2i2−i2−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i30001+i3−1−i30000−1−i31+i300001+i31+i3−1−i3−1−i30000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i30001−i3−1+i30000−1+i31−i300001−i31−i3−1+i3−1+i30000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ1162-2-2220-2202-2-2000-2200002-20000-2-2220000000000i2−i2−i2i2−1−i31+i31+i3−1−i3−1−i301+i3−1−i30−1−i31+i31+i30001+i3−1−i30000−1−i31+i300001+i31+i3−1−i3−1−i30000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i31−i3−1+i3−1+i301−i3−1+i30−1+i31−i31−i30001−i3−1+i30000−1+i31−i300001−i31−i3−1+i3−1+i30000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ1174444-24-4-44-2-2-2-40000-2-222220000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−2−2i32+2i32+2i3−2−2i31+i31+i31+i32+2i300001+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−2+2i32−2i32−2i3−2+2i31−i31−i31−i32−2i300001−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000
χ1184444-2-4-4-4-4-2-2-24000022-2-2220000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i32+2i32+2i31+i31+i31+i3−2−2i30000−1−i3−1−i31+i31+i3−1−i3−1−i30000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i32−2i32−2i31−i31−i31−i3−2+2i30000−1+i3−1+i31−i31−i3−1+i3−1+i30000000000000000000000
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χ1284-44-4-2400-422-200000-220000−66−66−666−600000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i3002+2i3−1−i3−1−i31+i3000001+i3−1−i300002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i3002−2i3−1+i3−1+i31−i3000001−i3−1+i30000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000000
χ1294-44-4-2-400422-2000002-200006−66−6−666−600000000000000−2−2i32+2i3−2−2i32+2i31+i32+2i300−2−2i3−1−i3−1−i31+i300000−1−i31+i30000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000000−2+2i32−2i3−2+2i32−2i31−i32−2i300−2+2i3−1+i3−1+i31−i300000−1+i31−i30000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000000
χ1304-44-4-2-400422-2000002-20000−66−666−6−6600000000000000−2−2i32+2i3−2−2i32+2i31+i32+2i300−2−2i3−1−i3−1−i31+i300000−1−i31+i300002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000000−2+2i32−2i3−2+2i32−2i31−i32−2i300−2+2i3−1+i3−1+i31−i300000−1+i31−i30000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000000
χ1314-4-44404-404-4-4000000000-440000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i30−2−2i32+2i30−2−2i32+2i32+2i30000000002+2i3−2−2i30000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i30−2+2i32−2i30−2+2i32−2i32−2i30000000002−2i3−2+2i30000000000000000000000
χ1324-4-44-204-40-2220000000002-2−2i32i32i3−2i3000000000000000000−2−2i32+2i32+2i3−2−2i31+i30−2−2i32+2i301+i3−1−i3−1−i3000000000−1−i31+i3−3+i33−i33−i3−3+i3000000000000000000−2+2i32−2i32−2i3−2+2i31−i30−2+2i32−2i301−i3−1+i3−1+i3000000000−1+i31−i33+i3−3−i3−3−i33+i3000000000000000000
χ1334-4-44-204-40-2220000000002-22i3−2i3−2i32i3000000000000000000−2−2i32+2i32+2i3−2−2i31+i30−2−2i32+2i301+i3−1−i3−1−i3000000000−1−i31+i33−i3−3+i3−3+i33−i3000000000000000000−2+2i32−2i32−2i3−2+2i31−i30−2+2i32−2i301−i3−1+i3−1+i3000000000−1+i31−i3−3−i33+i33+i3−3−i3000000000000000000
χ1344-4-44-20-440-2220004-40000-220000-2-22200000000000000−2−2i32+2i32+2i3−2−2i31+i302+2i3−2−2i301+i3−1−i3−1−i3000−2−2i32+2i300001+i3−1−i300001+i31+i3−1−i3−1−i300000000000000−2+2i32−2i32−2i3−2+2i31−i302−2i3−2+2i301−i3−1+i3−1+i3000−2+2i32−2i300001−i3−1+i300001−i31−i3−1+i3−1+i300000000000000
χ1354-4-44-20-440-222000-440000-22000022-2-200000000000000−2−2i32+2i32+2i3−2−2i31+i302+2i3−2−2i301+i3−1−i3−1−i30002+2i3−2−2i300001+i3−1−i30000−1−i3−1−i31+i31+i300000000000000−2+2i32−2i32−2i3−2+2i31−i302−2i3−2+2i301−i3−1+i3−1+i30002−2i3−2+2i300001−i3−1+i30000−1+i3−1+i31−i31−i300000000000000

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