Finite Group Databasebeta

← Group #13166899

Character table — Group #13166899

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636111144444444488889999121212121212121224242424242424243636363636
order1222233666666666622222222444466661212121224444366663366666666666666666612121212666612121212612121212366663366666666666666666612121212666612121212612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-111111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-111111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-11111-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-11111-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1
χ61111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1111111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1111111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111
χ71111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1111111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1111111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111
χ81111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1
χ922222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-2000022222222222222222-2-2-2-20000000000000000-20000
χ102222-222222222-2-2-2-2-2-2-2-20000000000000000200002222-222222222-2-2-2-2-2-2-2-20000000000000000200002222-222222222-2-2-2-2-2-2-2-2000000000000000020000
χ1122-2-202222-2-2-2-2000022-2-200000000000000000002i−2i22-2-202222-2-2-2-2000022-2-200000000000000000002i−2i22-2-202222-2-2-2-2000022-2-200000000000000000002i−2i
χ1222-2-202222-2-2-2-2000022-2-20000000000000000000−2i2i22-2-202222-2-2-2-2000022-2-20000000000000000000−2i2i22-2-202222-2-2-2-2000022-2-20000000000000000000−2i2i
χ1322-2-202222-2-2-2-20000-2-222000000000000000002-20022-2-202222-2-2-2-20000-2-222000000000000000002-20022-2-202222-2-2-2-20000-2-222000000000000000002-200
χ1422-2-202222-2-2-2-20000-2-22200000000000000000-220022-2-202222-2-2-2-20000-2-22200000000000000000-220022-2-202222-2-2-2-20000-2-22200000000000000000-2200
χ152-22-2022-2-22-22-200002-22-20000002-20000002-2000002-22-2022-2-22-22-200002-22-20000002-20000002-2000002-22-2022-2-22-22-200002-22-20000002-20000002-200000
χ162-22-2022-2-22-22-200002-22-2000000-22000000-22000002-22-2022-2-22-22-200002-22-2000000-22000000-22000002-22-2022-2-22-22-200002-22-2000000-22000000-2200000
χ172-22-2022-2-22-22-20000-22-22002-20000002-20000000002-22-2022-2-22-22-20000-22-22002-20000002-20000000002-22-2022-2-22-22-20000-22-22002-20000002-2000000000
χ182-22-2022-2-22-22-20000-22-2200-22000000-220000000002-22-2022-2-22-22-20000-22-2200-22000000-220000000002-22-2022-2-22-22-20000-22-2200-22000000-22000000000
χ192-2-22022-2-2-22-2200002-2-222-20000002-2000000000002-2-22022-2-2-22-2200002-2-222-20000002-2000000000002-2-22022-2-2-22-2200002-2-222-20000002-200000000000
χ202-2-22022-2-2-22-2200002-2-22-22000000-22000000000002-2-22022-2-2-22-2200002-2-22-22000000-22000000000002-2-22022-2-2-22-2200002-2-22-22000000-2200000000000
χ212-2-22022-2-2-22-220000-222-200002-20000002-200000002-2-22022-2-2-22-220000-222-200002-20000002-200000002-2-22022-2-2-22-220000-222-200002-20000002-20000000
χ222-2-22022-2-2-22-220000-222-20000-22000000-2200000002-2-22022-2-2-22-220000-222-20000-22000000-2200000002-2-22022-2-2-22-220000-222-20000-22000000-220000000
χ23444441-21-21-2-2111-2-2000022002200-1-100-1-10000000444441-21-21-2-2111-2-2000022002200-1-100-1-10000000444441-21-21-2-2111-2-2000022002200-1-100-1-10000000
χ24444441-21-21-2-2111-2-20000-2-200-2-2001100110000000444441-21-21-2-2111-2-20000-2-200-2-2001100110000000444441-21-21-2-2111-2-20000-2-200-2-2001100110000000
χ2544444-21-21-211-2-2-21100000022002200-1-100-1-10000044444-21-21-211-2-2-21100000022002200-1-100-1-10000044444-21-21-211-2-2-21100000022002200-1-100-1-100000
χ2644444-21-21-211-2-2-211000000-2-200-2-2001100110000044444-21-21-211-2-2-211000000-2-200-2-2001100110000044444-21-21-211-2-2-211000000-2-200-2-20011001100000
χ274444-41-21-21-2-21-1-12200002200-2-200-1-1001100000004444-41-21-21-2-21-1-12200002200-2-200-1-1001100000004444-41-21-21-2-21-1-12200002200-2-200-1-100110000000
χ284444-41-21-21-2-21-1-1220000-2-20022001100-1-100000004444-41-21-21-2-21-1-1220000-2-20022001100-1-100000004444-41-21-21-2-21-1-1220000-2-20022001100-1-10000000
χ294444-4-21-21-211-222-1-10000002200-2-200-1-10011000004444-4-21-21-211-222-1-10000002200-2-200-1-10011000004444-4-21-21-211-222-1-10000002200-2-200-1-1001100000
χ304444-4-21-21-211-222-1-1000000-2-20022001100-1-1000004444-4-21-21-211-222-1-1000000-2-20022001100-1-1000004444-4-21-21-211-222-1-1000000-2-20022001100-1-100000
χ314-44-40-212-1-2-112003-30000002-2002-200-1100-11000004-44-40-212-1-2-112003-30000002-2002-200-1100-11000004-44-40-212-1-2-112003-30000002-2002-200-1100-1100000
χ324-44-40-212-1-2-112003-3000000-2200-22001-1001-1000004-44-40-212-1-2-112003-3000000-2200-22001-1001-1000004-44-40-212-1-2-112003-3000000-2200-22001-1001-100000
χ334-44-40-212-1-2-11200-330000002-200-2200-11001-1000004-44-40-212-1-2-11200-330000002-200-2200-11001-1000004-44-40-212-1-2-11200-330000002-200-2200-11001-100000
χ344-44-40-212-1-2-11200-33000000-22002-2001-100-11000004-44-40-212-1-2-11200-33000000-22002-2001-100-11000004-44-40-212-1-2-11200-33000000-22002-2001-100-1100000
χ354-4-4401-2-12-1-2213-30000002-2002-200-1100-1100000004-4-4401-2-12-1-2213-30000002-2002-200-1100-1100000004-4-4401-2-12-1-2213-30000002-2002-200-1100-110000000
χ364-4-4401-2-12-1-2213-3000000-2200-22001-1001-100000004-4-4401-2-12-1-2213-3000000-2200-22001-1001-100000004-4-4401-2-12-1-2213-3000000-2200-22001-1001-10000000
χ374-4-4401-2-12-1-221-330000002-200-2200-11001-100000004-4-4401-2-12-1-221-330000002-200-2200-11001-100000004-4-4401-2-12-1-221-330000002-200-2200-11001-10000000
χ384-4-4401-2-12-1-221-33000000-22002-2001-100-1100000004-4-4401-2-12-1-221-33000000-22002-2001-100-1100000004-4-4401-2-12-1-221-33000000-22002-2001-100-110000000
χ3988-8-802-42-4-244-20000000000000000000000000000088-8-802-42-4-244-20000000000000000000000000000088-8-802-42-4-244-200000000000000000000000000000
χ4088-8-80-42-424-2-240000000000000000000000000000088-8-80-42-424-2-240000000000000000000000000000088-8-80-42-424-2-2400000000000000000000000000000
χ418-88-802-4-2424-4-2000000000000000000000000000008-88-802-4-2424-4-2000000000000000000000000000008-88-802-4-2424-4-200000000000000000000000000000
χ428-8-880-424-242-2-4000000000000000000000000000008-8-880-424-242-2-4000000000000000000000000000008-8-880-424-242-2-400000000000000000000000000000
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
χ4411111111111111111111111-1-111-1-111-1-111-1-11-1-1-1-1−1+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ45111111111111111111111-1-111-1-111-1-111-1-1111-1-1-1-1−1+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+i321−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+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−i321+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−i321+i321+i321+i321+i32
χ46111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ481111-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-111−1+i32−1+i32−1+i32−1+i321−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+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−i32−1−i321+i321+i321+i321+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−i321+i321+i321+i32−1−i32−1−i32
χ491111-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ501111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ5122222222222222222-2-2-2-20000000000000000-20000−1+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−i31−i31−i300000000000000001−i30000−1−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+i31+i31+i300000000000000001+i30000
χ522222-222222222-2-2-2-2-2-2-2-2000000000000000020000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i30000000000000000−1+i30000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i30000000000000000−1−i30000
χ5322-2-202222-2-2-2-2000022-2-200000000000000000002i−2i−1+i3−1+i31−i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i300000000000000000002ζ7−2ζ7−1−i3−1−i31+i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i300000000000000000002ζ11−2ζ11
χ5422-2-202222-2-2-2-2000022-2-20000000000000000000−2i2i−1+i3−1+i31−i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i30000000000000000000−2ζ72ζ7−1−i3−1−i31+i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i30000000000000000000−2ζ112ζ11
χ5522-2-202222-2-2-2-20000-2-222000000000000000002-200−1+i3−1+i31−i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i300000000000000000−1+i31−i300−1−i3−1−i31+i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i300000000000000000−1−i31+i300
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χ1154-44-40-212-1-2-112003-30000002-2002-200-1100-1100000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i32−1−i300−3−3i323+3i32000000−1−i31+i300−1−i31+i3001+i32−1−i32001+i32−1−i3200000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i32−1+i300−3+3i323−3i32000000−1+i31−i300−1+i31−i3001−i32−1+i32001−i32−1+i3200000
χ1164-44-40-212-1-2-112003-3000000-2200-22001-1001-100000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i32−1−i300−3−3i323+3i320000001+i3−1−i3001+i3−1−i300−1−i321+i3200−1−i321+i3200000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i32−1+i300−3+3i323−3i320000001−i3−1+i3001−i3−1+i300−1+i321−i3200−1+i321−i3200000
χ1174-44-40-212-1-2-11200-330000002-200-2200-11001-100000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i32−1−i3003+3i32−3−3i32000000−1−i31+i3001+i3−1−i3001+i32−1−i3200−1−i321+i3200000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i32−1+i3003−3i32−3+3i32000000−1+i31−i3001−i3−1+i3001−i32−1+i3200−1+i321−i3200000
χ1184-44-40-212-1-2-11200-33000000-22002-2001-100-1100000−2−2i32+2i3−2−2i32+2i301+i3−1−i32−1−i31+i321+i31+i32−1−i32−1−i3003+3i32−3−3i320000001+i3−1−i300−1−i31+i300−1−i321+i32001+i32−1−i3200000−2+2i32−2i3−2+2i32−2i301−i3−1+i32−1+i31−i321−i31−i32−1+i32−1+i3003−3i32−3+3i320000001−i3−1+i300−1+i31−i300−1+i321−i32001−i32−1+i3200000
χ1194-4-4401-2-12-1-2213-30000002-2002-200-1100-110000000−2−2i32+2i32+2i3−2−2i30−1−i321+i31+i32−1−i31+i321+i3−1−i3−1−i32−3−3i323+3i32000000−1−i31+i300−1−i31+i3001+i32−1−i32001+i32−1−i320000000−2+2i32−2i32−2i3−2+2i30−1+i321−i31−i32−1+i31−i321−i3−1+i3−1+i32−3+3i323−3i32000000−1+i31−i300−1+i31−i3001−i32−1+i32001−i32−1+i320000000
χ1204-4-4401-2-12-1-2213-3000000-2200-22001-1001-10000000−2−2i32+2i32+2i3−2−2i30−1−i321+i31+i32−1−i31+i321+i3−1−i3−1−i32−3−3i323+3i320000001+i3−1−i3001+i3−1−i300−1−i321+i3200−1−i321+i320000000−2+2i32−2i32−2i3−2+2i30−1+i321−i31−i32−1+i31−i321−i3−1+i3−1+i32−3+3i323−3i320000001−i3−1+i3001−i3−1+i300−1+i321−i3200−1+i321−i320000000
χ1214-4-4401-2-12-1-221-330000002-200-2200-11001-10000000−2−2i32+2i32+2i3−2−2i30−1−i321+i31+i32−1−i31+i321+i3−1−i3−1−i323+3i32−3−3i32000000−1−i31+i3001+i3−1−i3001+i32−1−i3200−1−i321+i320000000−2+2i32−2i32−2i3−2+2i30−1+i321−i31−i32−1+i31−i321−i3−1+i3−1+i323−3i32−3+3i32000000−1+i31−i3001−i3−1+i3001−i32−1+i3200−1+i321−i320000000
χ1224-4-4401-2-12-1-221-33000000-22002-2001-100-110000000−2−2i32+2i32+2i3−2−2i30−1−i321+i31+i32−1−i31+i321+i3−1−i3−1−i323+3i32−3−3i320000001+i3−1−i300−1−i31+i300−1−i321+i32001+i32−1−i320000000−2+2i32−2i32−2i3−2+2i30−1+i321−i31−i32−1+i31−i321−i3−1+i3−1+i323−3i32−3+3i320000001−i3−1+i300−1+i31−i300−1+i321−i32001−i32−1+i320000000
χ12388-8-802-42-4-244-200000000000000000000000000000−4−4i3−4−4i34+4i34+4i30−1−i32+2i3−1−i32+2i31+i3−2−2i3−2−2i31+i300000000000000000000000000000−4+4i3−4+4i34−4i34−4i30−1+i32−2i3−1+i32−2i31−i3−2+2i3−2+2i31−i300000000000000000000000000000
χ12488-8-80-42-424-2-2400000000000000000000000000000−4−4i3−4−4i34+4i34+4i302+2i3−1−i32+2i3−1−i3−2−2i31+i31+i3−2−2i300000000000000000000000000000−4+4i3−4+4i34−4i34−4i302−2i3−1+i32−2i3−1+i3−2+2i31−i31−i3−2+2i300000000000000000000000000000
χ1258-88-802-4-2424-4-200000000000000000000000000000−4−4i34+4i3−4−4i34+4i30−1−i32+2i31+i3−2−2i3−1−i3−2−2i32+2i31+i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i30−1+i32−2i31−i3−2+2i3−1+i3−2+2i32−2i31−i300000000000000000000000000000
χ1268-8-880-424-242-2-400000000000000000000000000000−4−4i34+4i34+4i3−4−4i302+2i3−1−i3−2−2i31+i3−2−2i3−1−i31+i32+2i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i302−2i3−1+i3−2+2i31−i3−2+2i3−1+i31−i32−2i300000000000000000000000000000

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