Finite Group Databasebeta

← Group #13167628

Character table — Group #13167628

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111148888888899993636363636363636363636363611114888888889999363636363636363636363636361111488888888999936363636363636363636363636
order1222436661212121222224444444444444366612366612121212666612121212121212121212121212366612366612121212666612121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1
χ3111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111
χ51111-11111-1-1-1-11111-11111-1-1-1-111-1-11111-11111-1-1-1-11111-11111-1-1-1-111-1-11111-11111-1-1-1-11111-11111-1-1-1-111-1-1
χ61111-11111-1-1-1-11111-111-1-1-1-111-1-1111111-11111-1-1-1-11111-111-1-1-1-111-1-1111111-11111-1-1-1-11111-111-1-1-1-111-1-111
χ71111-11111-1-1-1-11111-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-11111-1-1-1-1111111-11111-1-1-1-11111-1-1-11111-1-1-1-111
χ81111-11111-1-1-1-11111-1-1-1-1-1111111-1-11111-11111-1-1-1-11111-1-1-1-1-1111111-1-11111-11111-1-1-1-11111-1-1-1-1-1111111-1-1
χ92222222222222-2-2-2-2-20000000000002222222222222-2-2-2-2-20000000000002222222222222-2-2-2-2-2000000000000
χ102222-22222-2-2-2-2-2-2-2-220000000000002222-22222-2-2-2-2-2-2-2-220000000000002222-22222-2-2-2-2-2-2-2-22000000000000
χ1122-2-2022-2-200002-22-2000002i−2i00000022-2-2022-2-200002-22-2000002i−2i00000022-2-2022-2-200002-22-2000002i−2i000000
χ1222-2-2022-2-200002-22-200000−2i2i00000022-2-2022-2-200002-22-200000−2i2i00000022-2-2022-2-200002-22-200000−2i2i000000
χ1322-2-2022-2-20000-22-2202i−2i000000000022-2-2022-2-20000-22-2202i−2i000000000022-2-2022-2-20000-22-2202i−2i0000000000
χ1422-2-2022-2-20000-22-220−2i2i000000000022-2-2022-2-20000-22-220−2i2i000000000022-2-2022-2-20000-22-220−2i2i0000000000
χ152-22-202-22-200002-2-220002i−2i000000002-22-202-22-200002-2-220002i−2i000000002-22-202-22-200002-2-220002i−2i00000000
χ162-22-202-22-200002-2-22000−2i2i000000002-22-202-22-200002-2-22000−2i2i000000002-22-202-22-200002-2-22000−2i2i00000000
χ172-22-202-22-20000-222-200000002i−2i00002-22-202-22-20000-222-200000002i−2i00002-22-202-22-20000-222-200000002i−2i0000
χ182-22-202-22-20000-222-20000000−2i2i00002-22-202-22-20000-222-20000000−2i2i00002-22-202-22-20000-222-20000000−2i2i0000
χ192-2-2202-2-22000022-2-2000000000002i−2i2-2-2202-2-22000022-2-2000000000002i−2i2-2-2202-2-22000022-2-2000000000002i−2i
χ202-2-2202-2-22000022-2-200000000000−2i2i2-2-2202-2-22000022-2-200000000000−2i2i2-2-2202-2-22000022-2-200000000000−2i2i
χ212-2-2202-2-220000-2-2220000000002-2002-2-2202-2-220000-2-2220000000002-2002-2-2202-2-220000-2-2220000000002-200
χ222-2-2202-2-220000-2-222000000000-22002-2-2202-2-220000-2-222000000000-22002-2-2202-2-220000-2-222000000000-2200
χ2388888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-100000000000000000
χ248888-8-1-1-1-11111000000000000000008888-8-1-1-1-11111000000000000000008888-8-1-1-1-1111100000000000000000
χ2588-8-80-1-1113i3i−3i−3i0000000000000000088-8-80-1-1113i3i−3i−3i0000000000000000088-8-80-1-1113i3i−3i−3i00000000000000000
χ2688-8-80-1-111−3i−3i3i3i0000000000000000088-8-80-1-111−3i−3i3i3i0000000000000000088-8-80-1-111−3i−3i3i3i00000000000000000
χ278-88-80-11-113i−3i3i−3i000000000000000008-88-80-11-113i−3i3i−3i000000000000000008-88-80-11-113i−3i3i−3i00000000000000000
χ288-88-80-11-11−3i3i−3i3i000000000000000008-88-80-11-11−3i3i−3i3i000000000000000008-88-80-11-11−3i3i−3i3i00000000000000000
χ298-8-880-111-13-3-33000000000000000008-8-880-111-13-3-33000000000000000008-8-880-111-13-3-3300000000000000000
χ308-8-880-111-1-333-3000000000000000008-8-880-111-1-333-3000000000000000008-8-880-111-1-333-300000000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111111111-1-111-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i32
χ33111111111111111111-1-111-1-111-1-1-1-1−1+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−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ34111111111111111111-1-1-1-1-1-1-1-11111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ351111-11111-1-1-1-11111-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ361111-11111-1-1-1-11111-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ371111-11111-1-1-1-11111-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ381111-11111-1-1-1-11111-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+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−i321−i32−1−i32−1−i32−1−i32−1−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+i321+i32
χ392222222222222-2-2-2-2-2000000000000−1+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−i31−i3000000000000−1−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+i31+i3000000000000
χ402222-22222-2-2-2-2-2-2-2-22000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3000000000000
χ4122-2-2022-2-200002-22-2000002i−2i000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i3000002ζ7−2ζ7000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i3000002ζ11−2ζ11000000
χ4222-2-2022-2-200002-22-200000−2i2i000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300000−2ζ72ζ7000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300000−2ζ112ζ11000000
χ4322-2-2022-2-20000-22-2202i−2i0000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i302ζ7−2ζ70000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i302ζ11−2ζ110000000000
χ4422-2-2022-2-20000-22-220−2i2i0000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i30−2ζ72ζ70000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i30−2ζ112ζ110000000000
χ452-22-202-22-200002-2-220002i−2i00000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30002ζ7−2ζ700000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30002ζ11−2ζ1100000000
χ462-22-202-22-200002-2-22000−2i2i00000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i3000−2ζ72ζ700000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i3000−2ζ112ζ1100000000
χ472-22-202-22-20000-222-200000002i−2i0000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i300000002ζ7−2ζ70000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i300000002ζ11−2ζ110000
χ482-22-202-22-20000-222-20000000−2i2i0000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000−2ζ72ζ70000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000−2ζ112ζ110000
χ492-2-2202-2-22000022-2-2000000000002i−2i−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i3000000000002ζ7−2ζ7−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i3000000000002ζ11−2ζ11
χ502-2-2202-2-22000022-2-200000000000−2i2i−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i300000000000−2ζ72ζ7−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i300000000000−2ζ112ζ11
χ512-2-2202-2-220000-2-2220000000002-200−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i31−i3−1+i3−1+i3000000000−1+i31−i300−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i31+i3−1−i3−1−i3000000000−1−i31+i300
χ522-2-2202-2-220000-2-222000000000-2200−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i31−i3−1+i3−1+i30000000001−i3−1+i300−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i31+i3−1−i3−1−i30000000001+i3−1−i300
χ5388888-1-1-1-1-1-1-1-100000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000
χ548888-8-1-1-1-1111100000000000000000−4+4i3−4+4i3−4+4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000−4−4i3−4−4i3−4−4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000
χ5588-8-80-1-1113i3i−3i−3i00000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i323ζ73ζ7−3ζ7−3ζ700000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i323ζ113ζ11−3ζ11−3ζ1100000000000000000
χ5688-8-80-1-111−3i−3i3i3i00000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i32−3ζ7−3ζ73ζ73ζ700000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i32−3ζ11−3ζ113ζ113ζ1100000000000000000
χ578-88-80-11-113i−3i3i−3i00000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i323ζ7−3ζ73ζ7−3ζ700000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i323ζ11−3ζ113ζ11−3ζ1100000000000000000
χ588-88-80-11-11−3i3i−3i3i00000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i32−3ζ73ζ7−3ζ73ζ700000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i32−3ζ113ζ11−3ζ113ζ1100000000000000000
χ598-8-880-111-13-3-3300000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i32−3+3i323−3i323−3i32−3+3i3200000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i32−3−3i323+3i323+3i32−3−3i3200000000000000000
χ608-8-880-111-1-333-300000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i323−3i32−3+3i32−3+3i323−3i3200000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i323+3i32−3−3i32−3−3i323+3i3200000000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111111111-1-111-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i32
χ63111111111111111111-1-111-1-111-1-1-1-1−1−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+i321+i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ64111111111111111111-1-1-1-1-1-1-1-11111−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ651111-11111-1-1-1-11111-11111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ661111-11111-1-1-1-11111-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ671111-11111-1-1-1-11111-1-1-11111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ681111-11111-1-1-1-11111-1-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−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+i321+i32−1+i32−1+i32−1+i32−1+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−i321−i32
χ692222222222222-2-2-2-2-2000000000000−1−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+i31+i3000000000000−1+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−i31−i3000000000000
χ702222-22222-2-2-2-2-2-2-2-22000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3000000000000
χ7122-2-2022-2-200002-22-2000002i−2i000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i3000002ζ11−2ζ11000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i3000002ζ7−2ζ7000000
χ7222-2-2022-2-200002-22-200000−2i2i000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300000−2ζ112ζ11000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300000−2ζ72ζ7000000
χ7322-2-2022-2-20000-22-2202i−2i0000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i302ζ11−2ζ110000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i302ζ7−2ζ70000000000
χ7422-2-2022-2-20000-22-220−2i2i0000000000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i30−2ζ112ζ110000000000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i30−2ζ72ζ70000000000
χ752-22-202-22-200002-2-220002i−2i00000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30002ζ11−2ζ1100000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30002ζ7−2ζ700000000
χ762-22-202-22-200002-2-22000−2i2i00000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000−1−i31+i31+i3−1−i3000−2ζ112ζ1100000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000−1+i31−i31−i3−1+i3000−2ζ72ζ700000000
χ772-22-202-22-20000-222-200000002i−2i0000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i300000002ζ11−2ζ110000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i300000002ζ7−2ζ70000
χ782-22-202-22-20000-222-20000000−2i2i0000−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000−2ζ112ζ110000−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000−2ζ72ζ70000
χ792-2-2202-2-22000022-2-2000000000002i−2i−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i3000000000002ζ11−2ζ11−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i3000000000002ζ7−2ζ7
χ802-2-2202-2-22000022-2-200000000000−2i2i−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i300000000000−2ζ112ζ11−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i300000000000−2ζ72ζ7
χ812-2-2202-2-220000-2-2220000000002-200−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i31+i3−1−i3−1−i3000000000−1−i31+i300−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i31−i3−1+i3−1+i3000000000−1+i31−i300
χ822-2-2202-2-220000-2-222000000000-2200−1−i31+i31+i3−1−i30−1−i31+i31+i3−1−i300001+i31+i3−1−i3−1−i30000000001+i3−1−i300−1+i31−i31−i3−1+i30−1+i31−i31−i3−1+i300001−i31−i3−1+i3−1+i30000000001−i3−1+i300
χ8388888-1-1-1-1-1-1-1-100000000000000000−4−4i3−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i3200000000000000000−4+4i3−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i3200000000000000000
χ848888-8-1-1-1-1111100000000000000000−4−4i3−4−4i3−4−4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000000−4+4i3−4+4i3−4+4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000000
χ8588-8-80-1-1113i3i−3i−3i00000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i323ζ113ζ11−3ζ11−3ζ1100000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i323ζ73ζ7−3ζ7−3ζ700000000000000000
χ8688-8-80-1-111−3i−3i3i3i00000000000000000−4−4i3−4−4i34+4i34+4i301+i321+i32−1−i32−1−i32−3ζ11−3ζ113ζ113ζ1100000000000000000−4+4i3−4+4i34−4i34−4i301−i321−i32−1+i32−1+i32−3ζ7−3ζ73ζ73ζ700000000000000000
χ878-88-80-11-113i−3i3i−3i00000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i323ζ11−3ζ113ζ11−3ζ1100000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i323ζ7−3ζ73ζ7−3ζ700000000000000000
χ888-88-80-11-11−3i3i−3i3i00000000000000000−4−4i34+4i3−4−4i34+4i301+i32−1−i321+i32−1−i32−3ζ113ζ11−3ζ113ζ1100000000000000000−4+4i34−4i3−4+4i34−4i301−i32−1+i321−i32−1+i32−3ζ73ζ7−3ζ73ζ700000000000000000
χ898-8-880-111-13-3-3300000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i32−3−3i323+3i323+3i32−3−3i3200000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i32−3+3i323−3i323−3i32−3+3i3200000000000000000
χ908-8-880-111-1-333-300000000000000000−4−4i34+4i34+4i3−4−4i301+i32−1−i32−1−i321+i323+3i32−3−3i32−3−3i323+3i3200000000000000000−4+4i34−4i34−4i3−4+4i301−i32−1+i32−1+i321−i323−3i32−3+3i32−3+3i323−3i3200000000000000000

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