Finite Group Databasebeta

← Group #10592282

Character table — Group #10592282

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222244444444446688888121212121224111122222244444444446688888121212121224111122222244444444446688888121212121224
order1222344666448812122424242444412121212444882366631212666121224241212242424241212121212121212121224246366631212666121224241212242424241212121212121212121224246
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1
χ922222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-200000
χ1022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-200000200000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-111000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000
χ152-22-222-2-2-2200002-20000000000002i−2i0002-22-222-2-2-2200002-20000000000002i−2i0002-22-222-2-2-2200002-20000000000002i−2i000
χ162-22-222-2-2-2200002-2000000000000−2i2i0002-22-222-2-2-2200002-2000000000000−2i2i0002-22-222-2-2-2200002-2000000000000−2i2i000
χ172-22-22-22-2-222-200-2200000002-2000000002-22-22-22-2-222-200-2200000002-2000000002-22-22-22-2-222-200-2200000002-200000000
χ182-22-22-22-2-22-2200-220000000-22000000002-22-22-22-2-22-2200-220000000-22000000002-22-22-22-2-22-2200-220000000-2200000000
χ192-22-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i30000002-22-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i30000002-22-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i3000000
χ202-22-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i30000002-22-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i30000002-22-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i3000000
χ212-22-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i30000002-22-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i30000002-22-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i3000000
χ222-22-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i30000002-22-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i30000002-22-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i3000000
χ232-2-222002-2-2002−2002−22−22i−2i00000000−i2i202-2-222002-2-2002−2002−22−22i−2i00000000−i2i202-2-222002-2-2002−2002−22−22i−2i00000000−i2i20
χ242-2-222002-2-2002−2002−22−2−2i2i00000000i2−i202-2-222002-2-2002−2002−22−2−2i2i00000000i2−i202-2-222002-2-2002−2002−22−2−2i2i00000000i2−i20
χ252-2-222002-2-200−2200−22−222i−2i00000000i2−i202-2-222002-2-200−2200−22−222i−2i00000000i2−i202-2-222002-2-200−2200−22−222i−2i00000000i2−i20
χ262-2-222002-2-200−2200−22−22−2i2i00000000−i2i202-2-222002-2-200−2200−22−22−2i2i00000000−i2i202-2-222002-2-200−2200−22−22−2i2i00000000−i2i20
χ274444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000
χ2844-4-4400-44-40000000000000000000000044-4-4400-44-40000000000000000000000044-4-4400-44-400000000000000000000000
χ2944-4-4-2002-22000000i6−i6−i6i6000000000000044-4-4-2002-22000000i6−i6−i6i6000000000000044-4-4-2002-22000000i6−i6−i6i60000000000000
χ3044-4-4-2002-22000000−i6i6i6−i6000000000000044-4-4-2002-22000000−i6i6i6−i6000000000000044-4-4-2002-22000000−i6i6i6−i60000000000000
χ314-44-4-24-422-20000-22000000000000000004-44-4-24-422-20000-22000000000000000004-44-4-24-422-20000-2200000000000000000
χ324-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−220000000000000
χ334-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−20000000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3511111111111111111111-1-111111-1-1-1-1-1-1−1+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+i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ36111111111111-1-111-1-1-1-111-111-1-1111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ37111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ381111111111-1-11111111111-1-1-1-1-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ391111111111-1-111111111-1-1-1-1-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+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−i321+i321+i32−1−i32
χ401111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ4222222-2-22220000-2-200002200000-200000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i30000−1+i3−1+i3000001−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i30000−1−i3−1−i3000001+i300000
χ4322222-2-22220000-2-20000-2-200000200000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i300001−i31−i300000−1+i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i300001+i31+i300000−1−i300000
χ442222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i31+i321+i321+i321+i32000000
χ452222-122-1-1-122-2-2-1-1111100-2-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i321+i32−1−i32−1−i32000000
χ462222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i3−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i3−1−i32−1−i32−1−i32−1−i32000000
χ472222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i32−1−i321+i321+i32000000
χ482-22-222-2-2-2200002-20000000000002i−2i000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i30000000000002ζ14−2ζ14000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i30000000000002ζ22−2ζ22000
χ492-22-222-2-2-2200002-2000000000000−2i2i000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3000000000000−2ζ142ζ14000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3000000000000−2ζ222ζ22000
χ502-22-22-22-2-222-200-2200000002-200000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3001−i3−1+i30000000−1+i31−i300000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3001+i3−1−i30000000−1−i31+i300000000
χ512-22-22-22-2-22-2200-220000000-2200000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i300000001−i3−1+i300000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i300000001+i3−1−i300000000
χ522-22-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i3000000−1+i31−i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i32−1+i31−i300−1+i321−i323+i323+i32−3−i32−3−i320001−i32−1+i323+i32−3−i32000000−1−i31+i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i32−1−i31+i300−1−i321+i32−3+i32−3+i323−i323−i320001+i32−1−i32−3+i323−i32000000
χ532-22-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i3000000−1+i31−i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i32−1+i31−i300−1+i321−i32−3−i32−3−i323+i323+i320001−i32−1+i32−3−i323+i32000000−1−i31+i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i32−1−i31+i300−1−i321+i323−i323−i32−3+i32−3+i320001+i32−1−i323−i32−3+i32000000
χ542-22-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i3000000−1+i31−i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i321−i3−1+i300−1+i321−i323+i323+i32−3−i32−3−i32000−1+i321−i32−3−i323+i32000000−1−i31+i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i321+i3−1−i300−1−i321+i32−3+i32−3+i323−i323−i32000−1−i321+i323−i32−3+i32000000
χ552-22-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i3000000−1+i31−i3−1+i31−i31−i321−i3−1+i3−1+i32−1+i321−i321−i3−1+i300−1+i321−i32−3−i32−3−i323+i323+i32000−1+i321−i323+i32−3−i32000000−1−i31+i3−1−i31+i31+i321+i3−1−i3−1−i32−1−i321+i321+i3−1−i300−1−i321+i323−i323−i32−3+i32−3+i32000−1−i321+i32−3+i323−i32000000
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χ892-2-222002-2-2002−2002−22−22i−2i00000000−i2i20−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ132ζ22−2ζ2200000000ζ7+ζ13−ζ7−ζ130−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300ζ5−ζ23−ζ5+ζ2300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ232ζ14−2ζ1400000000ζ5+ζ23−ζ5−ζ230
χ902-2-222002-2-2002−2002−22−2−2i2i00000000i2−i20−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−2ζ222ζ2200000000−ζ7−ζ13ζ7+ζ130−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300ζ5−ζ23−ζ5+ζ2300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−2ζ142ζ1400000000−ζ5−ζ23ζ5+ζ230
χ912-2-222002-2-200−2200−22−222i−2i00000000i2−i20−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300ζ7−ζ13−ζ7+ζ1300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ132ζ22−2ζ2200000000−ζ7−ζ13ζ7+ζ130−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ232ζ14−2ζ1400000000−ζ5−ζ23ζ5+ζ230
χ922-2-222002-2-200−2200−22−22−2i2i00000000−i2i20−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300ζ7−ζ13−ζ7+ζ1300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−2ζ222ζ2200000000ζ7+ζ13−ζ7−ζ130−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−2ζ142ζ1400000000ζ5+ζ23−ζ5−ζ230
χ934444-2-4-4-2-2-200002200000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i30000−1−i3−1−i300000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i30000−1+i3−1+i300000000000000000
χ9444-4-4400-44-400000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3002+2i3−2−2i32+2i300000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3002−2i3−2+2i32−2i300000000000000000000000
χ9544-4-4-2002-22000000i6−i6−i6i60000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i31+i3−1−i3000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ230000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i31−i3−1+i3000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ230000000000000
χ9644-4-4-2002-22000000−i6i6i6−i60000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i31+i3−1−i30000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ230000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i31−i3−1+i3000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ230000000000000
χ974-44-4-24-422-20000-2200000000000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i32+2i3−1−i3−1−i31+i300001+i3−1−i300000000000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i32−2i3−1+i3−1+i31−i300001−i3−1+i300000000000000000
χ984-4-44-200-2220022−2200−22−220000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300−2ζ7+2ζ132ζ7−2ζ1300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i3002ζ5−2ζ23−2ζ5+2ζ2300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000000
χ994-4-44-200-22200−2222002−22−20000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i3002ζ7−2ζ13−2ζ7+2ζ1300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i300−2ζ5+2ζ232ζ5−2ζ2300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000000000

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