Finite Group Databasebeta

← Group #11798552

Character table — Group #11798552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112224444444488888888888121212121616161624244848112224444444488888888888121212121616161624244848112224444444488888888888121212121616161624244848
order122362244461212244666612121212224481224244444366366612121261212612126666121212126612122412242412121212366366612121261212612126666121212126612122412242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1
χ31111111111111-11-111-1-1-1-1111111-11-1-111-1-11111111111111-11-111-1-1-1-1111111-11-1-111-1-11111111111111-11-111-1-1-1-1111111-11-1-111-1-1
χ41111111111111-11-111-1-1-1-111-1-1-1-1-11-1-1-1-1111111111111111-11-111-1-1-1-111-1-1-1-1-11-1-1-1-1111111111111111-11-111-1-1-1-111-1-1-1-1-11-1-1-1-111
χ51111111-1-111111-11111111-1-111-1-1-1-1-1-11-11-11111111-1-111111-11111111-1-111-1-1-1-1-1-11-11-11111111-1-111111-11111111-1-111-1-1-1-1-1-11-11-1
χ61111111-1-111111-11111111-1-1-1-111-1-1-1-1-11-111111111-1-111111-11111111-1-1-1-111-1-1-1-1-11-111111111-1-111111-11111111-1-1-1-111-1-1-1-1-11-11
χ71111111-1-11111-1-1-111-1-1-1-1-1-111-1-11-1111-1-111111111-1-11111-1-1-111-1-1-1-1-1-111-1-11-1111-1-111111111-1-11111-1-1-111-1-1-1-1-1-111-1-11-1111-1-11
χ81111111-1-11111-1-1-111-1-1-1-1-1-1-1-1111-111-111-11111111-1-11111-1-1-111-1-1-1-1-1-1-1-1111-111-111-11111111-1-11111-1-1-111-1-1-1-1-1-1-1-1111-111-111-1
χ9222222-200-22-2-20002-2000000002200000-200222222-200-22-2-20002-2000000002200000-200222222-200-22-2-20002-2000000002200000-200
χ10222222-200-22-2-20002-200000000-2-200000200222222-200-22-2-20002-200000000-2-200000200222222-200-22-2-20002-200000000-2-200000200
χ1122222-2200-22-2-2000-2200000022000000-200022222-2200-22-2-2000-2200000022000000-200022222-2200-22-2-2000-2200000022000000-2000
χ1222222-2200-22-2-2000-22000000-2-2000000200022222-2200-22-2-2000-22000000-2-2000000200022222-2200-22-2-2000-22000000-2-20000002000
χ1322222-2-22222220-20-2-200002200000-200000022222-2-22222220-20-2-200002200000-200000022222-2-22222220-20-2-200002200000-2000000
χ1422222-2-2-2-22222020-2-20000-2-200000200000022222-2-2-2-22222020-2-20000-2-200000200000022222-2-2-2-22222020-2-20000-2-2000002000000
χ15222-1-122222-1-1-1222-1-1-1-1-1-1-1-100002-1-1-10000222-1-122222-1-1-1222-1-1-1-1-1-1-1-100002-1-1-10000222-1-122222-1-1-1222-1-1-1-1-1-1-1-100002-1-1-10000
χ16222-1-122222-1-1-1-22-2-1-11111-1-10000-2-1110000222-1-122222-1-1-1-22-2-1-11111-1-10000-2-1110000222-1-122222-1-1-1-22-2-1-11111-1-10000-2-1110000
χ17222-1-122-2-22-1-1-12-22-1-1-1-1-1-1110000-21110000222-1-122-2-22-1-1-12-22-1-1-1-1-1-1110000-21110000222-1-122-2-22-1-1-12-22-1-1-1-1-1-1110000-21110000
χ18222-1-122-2-22-1-1-1-2-2-2-1-1111111000021-1-10000222-1-122-2-22-1-1-1-2-2-2-1-1111111000021-1-10000222-1-122-2-22-1-1-1-2-2-2-1-1111111000021-1-10000
χ19222-1-1-2-2222-1-1-10-2011−i3i3−i3i3-1-1000001−i3i30000222-1-1-2-2222-1-1-10-2011−i3i3−i3i3-1-1000001−i3i30000222-1-1-2-2222-1-1-10-2011−i3i3−i3i3-1-1000001−i3i30000
χ20222-1-1-2-2222-1-1-10-2011i3−i3i3−i3-1-1000001i3−i30000222-1-1-2-2222-1-1-10-2011i3−i3i3−i3-1-1000001i3−i30000222-1-1-2-2222-1-1-10-2011i3−i3i3−i3-1-1000001i3−i30000
χ21222-1-1-2-2-2-22-1-1-102011−i3i3−i3i31100000-1i3−i30000222-1-1-2-2-2-22-1-1-102011−i3i3−i3i31100000-1i3−i30000222-1-1-2-2-2-22-1-1-102011−i3i3−i3i31100000-1i3−i30000
χ22222-1-1-2-2-2-22-1-1-102011i3−i3i3−i31100000-1−i3i30000222-1-1-2-2-2-22-1-1-102011i3−i3i3−i31100000-1−i3i30000222-1-1-2-2-2-22-1-1-102011i3−i3i3−i31100000-1−i3i30000
χ23444-2-24-400-4-222000-22000000000000000000444-2-24-400-4-222000-22000000000000000000444-2-24-400-4-222000-22000000000000000000
χ24444-2-2-4400-4-2220002-2000000000000000000444-2-2-4400-4-2220002-2000000000000000000444-2-2-4400-4-2220002-2000000000000000000
χ2544-44400000-40020-20022-2-20000000000000044-44400000-40020-20022-2-20000000000000044-44400000-40020-20022-2-200000000000000
χ2644-44400000-400-20200-2-2220000000000000044-44400000-400-20200-2-2220000000000000044-44400000-400-20200-2-22200000000000000
χ2744-4-2-2000002−2i32i320-200−1−i3−1+i31+i31−i30000000000000044-4-2-2000002−2i32i320-200−1−i3−1+i31+i31−i30000000000000044-4-2-2000002−2i32i320-200−1−i3−1+i31+i31−i300000000000000
χ2844-4-2-2000002−2i32i3-202001+i31−i3−1−i3−1+i30000000000000044-4-2-2000002−2i32i3-202001+i31−i3−1−i3−1+i30000000000000044-4-2-2000002−2i32i3-202001+i31−i3−1−i3−1+i300000000000000
χ2944-4-2-20000022i3−2i320-200−1+i3−1−i31−i31+i30000000000000044-4-2-20000022i3−2i320-200−1+i3−1−i31−i31+i30000000000000044-4-2-20000022i3−2i320-200−1+i3−1−i31−i31+i300000000000000
χ3044-4-2-20000022i3−2i3-202001−i31+i3−1+i3−1−i30000000000000044-4-2-20000022i3−2i3-202001−i31+i3−1+i3−1−i30000000000000044-4-2-20000022i3−2i3-202001−i31+i3−1+i3−1−i300000000000000
χ314-404-4002i−2i00000000000002i−2i2-22i−2i000000004-404-4002i−2i00000000000002i−2i2-22i−2i000000004-404-4002i−2i00000000000002i−2i2-22i−2i00000000
χ324-404-4002i−2i00000000000002i−2i-22−2i2i000000004-404-4002i−2i00000000000002i−2i-22−2i2i000000004-404-4002i−2i00000000000002i−2i-22−2i2i00000000
χ334-404-400−2i2i0000000000000−2i2i2-2−2i2i000000004-404-400−2i2i0000000000000−2i2i2-2−2i2i000000004-404-400−2i2i0000000000000−2i2i2-2−2i2i00000000
χ344-404-400−2i2i0000000000000−2i2i-222i−2i000000004-404-400−2i2i0000000000000−2i2i-222i−2i000000004-404-400−2i2i0000000000000−2i2i-222i−2i00000000
χ358-80-44004i−4i0000000000000−2i2i0000000000008-80-44004i−4i0000000000000−2i2i0000000000008-80-44004i−4i0000000000000−2i2i000000000000
χ368-80-4400−4i4i00000000000002i−2i0000000000008-80-4400−4i4i00000000000002i−2i0000000000008-80-4400−4i4i00000000000002i−2i000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ38111111111111111111111111-1-1-1-11111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ391111111111111-11-111-1-1-1-1111111-11-1-111-1-1−1+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−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ401111111111111-11-111-1-1-1-111-1-1-1-1-11-1-1-1-111−1+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−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−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+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ411111111-1-111111-11111111-1-111-1-1-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ421111111-1-111111-11111111-1-1-1-111-1-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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+i321+i32−1−i321+i32−1−i32
χ431111111-1-11111-1-1-111-1-1-1-1-1-111-1-11-1111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ441111111-1-11111-1-1-111-1-1-1-1-1-1-1-1111-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ45222222-200-22-2-20002-2000000002200000-200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i31−i31−i3000−1+i31−i300000000−1+i3−1+i3000001−i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i31+i31+i3000−1−i31+i300000000−1−i3−1−i3000001+i300
χ46222222-200-22-2-20002-200000000-2-200000200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i31−i31−i3000−1+i31−i3000000001−i31−i300000−1+i300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i31+i31+i3000−1−i31+i3000000001+i31+i300000−1−i300
χ4722222-2200-22-2-2000-2200000022000000-2000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i31−i31−i30001−i3−1+i3000000−1+i3−1+i30000001−i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i31+i31+i30001+i3−1−i3000000−1−i3−1−i30000001+i3000
χ4822222-2200-22-2-2000-22000000-2-20000002000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i31−i31−i30001−i3−1+i30000001−i31−i3000000−1+i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i31+i31+i30001+i3−1−i30000001+i31+i3000000−1−i3000
χ4922222-2-22222220-20-2-200002200000-2000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i301−i31−i30000−1+i3−1+i3000001−i3000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i301+i31+i30000−1−i3−1−i3000001+i3000000
χ5022222-2-2-2-22222020-2-20000-2-2000002000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30−1+i301−i31−i300001−i31−i300000−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30−1−i301+i31+i300001+i31+i300000−1−i3000000
χ51222-1-122222-1-1-1222-1-1-1-1-1-1-1-100002-1-1-10000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i31−i321−i321−i320000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i31+i321+i321+i320000
χ52222-1-122222-1-1-1-22-2-1-11111-1-10000-2-1110000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i31−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i31+i32−1−i32−1−i320000
χ53222-1-122-2-22-1-1-12-22-1-1-1-1-1-1110000-21110000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i321−i32−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i3200001−i3−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i321+i32−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i3200001+i3−1−i32−1−i32−1−i320000
χ54222-1-122-2-22-1-1-1-2-2-2-1-1111111000021-1-10000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i321−i321−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i321−i321−i320000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i321+i321+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i321+i321+i320000
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χ56222-1-1-2-2222-1-1-10-2011i3−i3i3−i3-1-1000001i3−i30000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i321−i3201−i30−1+i32−1+i32−3−i323+i32−3−i323+i321−i321−i3200000−1+i32−3−i323+i320000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i321+i3201+i30−1−i32−1−i323−i32−3+i323−i32−3+i321+i321+i3200000−1−i323−i32−3+i320000
χ57222-1-1-2-2-2-22-1-1-102011−i3i3−i3i31100000-1i3−i30000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i321−i321−i320−1+i30−1+i32−1+i323+i32−3−i323+i32−3−i32−1+i32−1+i32000001−i32−3−i323+i320000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i321+i321+i320−1−i30−1−i32−1−i32−3+i323−i32−3+i323−i32−1−i32−1−i32000001+i323−i32−3+i320000
χ58222-1-1-2-2-2-22-1-1-102011i3−i3i3−i31100000-1−i3i30000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i321−i321−i320−1+i30−1+i32−1+i32−3−i323+i32−3−i323+i32−1+i32−1+i32000001−i323+i32−3−i320000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i321+i321+i320−1−i30−1−i32−1−i323−i32−3+i323−i32−3+i32−1−i32−1−i32000001+i32−3+i323−i320000
χ59444-2-24-400-4-222000-22000000000000000000−2+2i3−2+2i3−2+2i31−i31−i3−2+2i32−2i3002−2i31−i3−1+i3−1+i30001−i3−1+i3000000000000000000−2−2i3−2−2i3−2−2i31+i31+i3−2−2i32+2i3002+2i31+i3−1−i3−1−i30001+i3−1−i3000000000000000000
χ60444-2-2-4400-4-2220002-2000000000000000000−2+2i3−2+2i3−2+2i31−i31−i32−2i3−2+2i3002−2i31−i3−1+i3−1+i3000−1+i31−i3000000000000000000−2−2i3−2−2i3−2−2i31+i31+i32+2i3−2−2i3002+2i31+i3−1−i3−1−i3000−1−i31+i3000000000000000000
χ6144-44400000-40020-20022-2-200000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i300−1+i301−i300−1+i3−1+i31−i31−i300000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i300−1−i301+i300−1−i3−1−i31+i31+i300000000000000
χ6244-44400000-400-20200-2-22200000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i3001−i30−1+i3001−i31−i3−1+i3−1+i300000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i3001+i30−1−i3001+i31+i3−1−i3−1−i300000000000000
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χ684-404-4002i−2i00000000000002i−2i-22−2i2i00000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ700000000000002ζ7−2ζ71−i3−1+i3−2ζ72ζ700000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ1100000000000002ζ11−2ζ111+i3−1−i3−2ζ112ζ1100000000
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χ704-404-400−2i2i0000000000000−2i2i-222i−2i00000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ70000000000000−2ζ72ζ71−i3−1+i32ζ7−2ζ700000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ110000000000000−2ζ112ζ111+i3−1−i32ζ11−2ζ1100000000
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χ728-80-4400−4i4i00000000000002i−2i000000000000−4+4i34−4i302−2i3−2+2i300−4ζ74ζ700000000000002ζ7−2ζ7000000000000−4−4i34+4i302+2i3−2−2i300−4ζ114ζ1100000000000002ζ11−2ζ11000000000000
χ73111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ74111111111111111111111111-1-1-1-11111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ751111111111111-11-111-1-1-1-1111111-11-1-111-1-1−1−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+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ761111111111111-11-111-1-1-1-111-1-1-1-1-11-1-1-1-111−1−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+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+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−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ771111111-1-111111-11111111-1-111-1-1-1-1-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ781111111-1-111111-11111111-1-1-1-111-1-1-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−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−i321−i32−1+i321−i32−1+i32
χ791111111-1-11111-1-1-111-1-1-1-1-1-111-1-11-1111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ801111111-1-11111-1-1-111-1-1-1-1-1-1-1-1111-111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ81222222-200-22-2-20002-2000000002200000-200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i31+i31+i3000−1−i31+i300000000−1−i3−1−i3000001+i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i31−i31−i3000−1+i31−i300000000−1+i3−1+i3000001−i300
χ82222222-200-22-2-20002-200000000-2-200000200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i3−1−i31+i31+i3000−1−i31+i3000000001+i31+i300000−1−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i3−1+i31−i31−i3000−1+i31−i3000000001−i31−i300000−1+i300
χ8322222-2200-22-2-2000-2200000022000000-2000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i31+i31+i30001+i3−1−i3000000−1−i3−1−i30000001+i3000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i31−i31−i30001−i3−1+i3000000−1+i3−1+i30000001−i3000
χ8422222-2200-22-2-2000-22000000-2-20000002000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3001+i3−1−i31+i31+i30001+i3−1−i30000001+i31+i3000000−1−i3000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3001−i3−1+i31−i31−i30001−i3−1+i30000001−i31−i3000000−1+i3000
χ8522222-2-22222220-20-2-200002200000-2000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i301+i31+i30000−1−i3−1−i3000001+i3000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i301−i31−i30000−1+i3−1+i3000001−i3000000
χ8622222-2-2-2-22222020-2-20000-2-2000002000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30−1−i301+i31+i300001+i31+i300000−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30−1+i301−i31−i300001−i31−i300000−1+i3000000
χ87222-1-122222-1-1-1222-1-1-1-1-1-1-1-100002-1-1-10000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i31+i321+i321+i320000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i31−i321−i321−i320000
χ88222-1-122222-1-1-1-22-2-1-11111-1-10000-2-1110000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3−1−i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i31+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3−1+i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i31−i32−1+i32−1+i320000
χ89222-1-122-2-22-1-1-12-22-1-1-1-1-1-1110000-21110000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i321+i32−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i32−1−i3200001+i3−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i321−i32−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i32−1+i3200001−i3−1+i32−1+i32−1+i320000
χ90222-1-122-2-22-1-1-1-2-2-2-1-1111111000021-1-10000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i3−1−i31+i321+i321+i321+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i321+i321+i320000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i3−1+i31−i321−i321−i321−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i321−i321−i320000
χ91222-1-1-2-2222-1-1-10-2011−i3i3−i3i3-1-1000001−i3i30000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i321+i3201+i30−1−i32−1−i32−3+i323−i32−3+i323−i321+i321+i3200000−1−i32−3+i323−i320000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i321−i3201−i30−1+i32−1+i323+i32−3−i323+i32−3−i321−i321−i3200000−1+i323+i32−3−i320000
χ92222-1-1-2-2222-1-1-10-2011i3−i3i3−i3-1-1000001i3−i30000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i3−1−i3−1−i31+i321+i321+i3201+i30−1−i32−1−i323−i32−3+i323−i32−3+i321+i321+i3200000−1−i323−i32−3+i320000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i3−1+i3−1+i31−i321−i321−i3201−i30−1+i32−1+i32−3−i323+i32−3−i323+i321−i321−i3200000−1+i32−3−i323+i320000
χ93222-1-1-2-2-2-22-1-1-102011−i3i3−i3i31100000-1i3−i30000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i321+i321+i320−1−i30−1−i32−1−i32−3+i323−i32−3+i323−i32−1−i32−1−i32000001+i323−i32−3+i320000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i321−i321−i320−1+i30−1+i32−1+i323+i32−3−i323+i32−3−i32−1+i32−1+i32000001−i32−3−i323+i320000
χ94222-1-1-2-2-2-22-1-1-102011i3−i3i3−i31100000-1−i3i30000−1−i3−1−i3−1−i31+i321+i321+i31+i31+i31+i3−1−i31+i321+i321+i320−1−i30−1−i32−1−i323−i32−3+i323−i32−3+i32−1−i32−1−i32000001+i32−3+i323−i320000−1+i3−1+i3−1+i31−i321−i321−i31−i31−i31−i3−1+i31−i321−i321−i320−1+i30−1+i32−1+i32−3−i323+i32−3−i323+i32−1+i32−1+i32000001−i323+i32−3−i320000
χ95444-2-24-400-4-222000-22000000000000000000−2−2i3−2−2i3−2−2i31+i31+i3−2−2i32+2i3002+2i31+i3−1−i3−1−i30001+i3−1−i3000000000000000000−2+2i3−2+2i3−2+2i31−i31−i3−2+2i32−2i3002−2i31−i3−1+i3−1+i30001−i3−1+i3000000000000000000
χ96444-2-2-4400-4-2220002-2000000000000000000−2−2i3−2−2i3−2−2i31+i31+i32+2i3−2−2i3002+2i31+i3−1−i3−1−i3000−1−i31+i3000000000000000000−2+2i3−2+2i3−2+2i31−i31−i32−2i3−2+2i3002−2i31−i3−1+i3−1+i3000−1+i31−i3000000000000000000
χ9744-44400000-40020-20022-2-200000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i300−1−i301+i300−1−i3−1−i31+i31+i300000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i300−1+i301−i300−1+i3−1+i31−i31−i300000000000000
χ9844-44400000-400-20200-2-22200000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i3000002+2i3001+i30−1−i3001+i31+i3−1−i3−1−i300000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i3000002−2i3001−i30−1+i3001−i31−i3−1+i3−1+i300000000000000
χ9944-4-2-2000002−2i32i320-200−1−i3−1+i31+i31−i300000000000000−2−2i3−2−2i32+2i31+i31+i300000−1−i3−3+i33−i3−1−i301+i300−1+i321−i3-200000000000000−2+2i3−2+2i32−2i31−i31−i300000−1+i33+i3−3−i3−1+i301−i3002−1−i3-21+i300000000000000
χ10044-4-2-2000002−2i32i3-202001+i31−i3−1−i3−1+i300000000000000−2−2i3−2−2i32+2i31+i31+i300000−1−i3−3+i33−i31+i30−1−i3001−i3-2−1+i3200000000000000−2+2i3−2+2i32−2i31−i31−i300000−1+i33+i3−3−i31−i30−1+i300-21+i32−1−i300000000000000
χ10144-4-2-20000022i3−2i320-200−1+i3−1−i31−i31+i300000000000000−2−2i3−2−2i32+2i31+i31+i300000−1−i33−i3−3+i3−1−i301+i3002−1+i3-21−i300000000000000−2+2i3−2+2i32−2i31−i31−i300000−1+i3−3−i33+i3−1+i301−i300−1−i321+i3-200000000000000
χ10244-4-2-20000022i3−2i3-202001−i31+i3−1+i3−1−i300000000000000−2−2i3−2−2i32+2i31+i31+i300000−1−i33−i3−3+i31+i30−1−i300-21−i32−1+i300000000000000−2+2i3−2+2i32−2i31−i31−i300000−1+i3−3−i33+i31−i30−1+i3001+i3-2−1−i3200000000000000
χ1034-404-4002i−2i00000000000002i−2i2-22i−2i00000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ1100000000000002ζ11−2ζ11−1−i31+i32ζ11−2ζ1100000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ700000000000002ζ7−2ζ7−1+i31−i32ζ7−2ζ700000000
χ1044-404-4002i−2i00000000000002i−2i-22−2i2i00000000−2−2i32+2i30−2−2i32+2i3002ζ11−2ζ1100000000000002ζ11−2ζ111+i3−1−i3−2ζ112ζ1100000000−2+2i32−2i30−2+2i32−2i3002ζ7−2ζ700000000000002ζ7−2ζ71−i3−1+i3−2ζ72ζ700000000
χ1054-404-400−2i2i0000000000000−2i2i2-2−2i2i00000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ110000000000000−2ζ112ζ11−1−i31+i3−2ζ112ζ1100000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ70000000000000−2ζ72ζ7−1+i31−i3−2ζ72ζ700000000
χ1064-404-400−2i2i0000000000000−2i2i-222i−2i00000000−2−2i32+2i30−2−2i32+2i300−2ζ112ζ110000000000000−2ζ112ζ111+i3−1−i32ζ11−2ζ1100000000−2+2i32−2i30−2+2i32−2i300−2ζ72ζ70000000000000−2ζ72ζ71−i3−1+i32ζ7−2ζ700000000
χ1078-80-44004i−4i0000000000000−2i2i000000000000−4−4i34+4i302+2i3−2−2i3004ζ11−4ζ110000000000000−2ζ112ζ11000000000000−4+4i34−4i302−2i3−2+2i3004ζ7−4ζ70000000000000−2ζ72ζ7000000000000
χ1088-80-4400−4i4i00000000000002i−2i000000000000−4−4i34+4i302+2i3−2−2i300−4ζ114ζ1100000000000002ζ11−2ζ11000000000000−4+4i34−4i302−2i3−2+2i300−4ζ74ζ700000000000002ζ7−2ζ7000000000000

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