Finite Group Databasebeta

← Group #64352

Character table — Group #64352

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222222244444466666666112222222222244444466666666112222222222244444466666666
order12222344446121266612121222444444366663121212126121266612121266121212121212366663121212126121266612121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1
χ31111-111-1-1-11-1-111-11-1-11-1111-1-1-11111-111-1-1-11-1-111-11-1-11-1111-1-1-11111-111-1-1-11-1-111-11-1-11-1111-1-1-1
χ41111-111-1-1-11-1-111-11-1-1-11-1-1-11111111-111-1-1-11-1-111-11-1-1-11-1-1-11111111-111-1-1-11-1-111-11-1-1-11-1-1-1111
χ5111-111-11-1-11-1-11-11-11-11-11-1-111-1111-111-11-1-11-1-11-11-11-11-11-1-111-1111-111-11-1-11-1-11-11-11-11-11-1-111-1
χ6111-111-11-1-11-1-11-11-11-1-11-111-1-11111-111-11-1-11-1-11-11-11-1-11-111-1-11111-111-11-1-11-1-11-11-11-1-11-111-1-11
χ7111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-11-1-1111111-1-1-1-11111-1-1-1-11
χ8111-1-11-1-1111111-1-1-1-11-1-1-11111-1111-1-11-1-1111111-1-1-1-11-1-1-11111-1111-1-11-1-1111111-1-1-1-11-1-1-11111-1
χ911-1111-1-11-11-1-1-111-1-111-1-11-11-1111-1111-1-11-11-1-1-111-1-111-1-11-11-1111-1111-1-11-11-1-1-111-1-111-1-11-11-11
χ1011-1111-1-11-11-1-1-111-1-11-111-11-11-111-1111-1-11-11-1-1-111-1-11-111-11-11-111-1111-1-11-11-1-1-111-1-11-111-11-11-1
χ1111-11-11-11-11111-11-1-11-111-11-1-11-111-11-11-11-11111-11-1-11-111-11-1-11-111-11-11-11-11111-11-1-11-111-11-1-11-1
χ1211-11-11-11-11111-11-1-11-1-1-11-111-1111-11-11-11-11111-11-1-11-1-1-11-111-1111-11-11-11-11111-11-1-11-1-1-11-111-11
χ1311-1-1111-1-11111-1-111-1-111-1-111-1-111-1-1111-1-11111-1-111-1-111-1-111-1-111-1-1111-1-11111-1-111-1-111-1-111-1-1
χ1411-1-1111-1-11111-1-111-1-1-1-111-1-11111-1-1111-1-11111-1-111-1-1-1-111-1-11111-1-1111-1-11111-1-111-1-1-1-111-1-111
χ1511-1-1-11111-11-1-1-1-1-11111-1-1-11-11111-1-1-11111-11-1-1-1-1-11111-1-1-11-11111-1-1-11111-11-1-1-1-1-11111-1-1-11-111
χ1611-1-1-11111-11-1-1-1-1-1111-1111-11-1-111-1-1-11111-11-1-1-1-1-1111-1111-11-1-111-1-1-11111-11-1-1-1-1-1111-1111-11-1-1
χ1722222-12222-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-10000000022222-12222-1-1-1-1-1-1-1-1-100000000
χ182222-2-12-2-2-2-111-1-11-111000000002222-2-12-2-2-2-111-1-11-111000000002222-2-12-2-2-2-111-1-11-11100000000
χ19222-22-1-22-2-2-111-11-11-1100000000222-22-1-22-2-2-111-11-11-1100000000222-22-1-22-2-2-111-11-11-1100000000
χ20222-2-2-1-2-222-1-1-1-11111-100000000222-2-2-1-2-222-1-1-1-11111-100000000222-2-2-1-2-222-1-1-1-11111-100000000
χ2122-222-1-2-22-2-1111-1-111-10000000022-222-1-2-22-2-1111-1-111-10000000022-222-1-2-22-2-1111-1-111-100000000
χ2222-22-2-1-22-22-1-1-11-111-110000000022-22-2-1-22-22-1-1-11-111-110000000022-22-2-1-22-22-1-1-11-111-1100000000
χ2322-2-22-12-2-22-1-1-111-1-1110000000022-2-22-12-2-22-1-1-111-1-1110000000022-2-22-12-2-22-1-1-111-1-11100000000
χ2422-2-2-2-1222-2-111111-1-1-10000000022-2-2-2-1222-2-111111-1-1-10000000022-2-2-2-1222-2-111111-1-1-100000000
χ254-400040000-400000000000000004-400040000-400000000000000004-400040000-40000000000000000
χ264-4000-20000223−23000000000000004-4000-20000223−23000000000000004-4000-20000223−2300000000000000
χ274-4000-200002−2323000000000000004-4000-200002−2323000000000000004-4000-200002−232300000000000000
χ28111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ291111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ301111-111-1-1-11-1-111-11-1-11-1111-1-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ311111-111-1-1-11-1-111-11-1-1-11-1-1-1111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32
χ32111-111-11-1-11-1-11-11-11-11-11-1-111-1−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ33111-111-11-1-11-1-11-11-11-1-11-111-1-11−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ34111-1-11-1-1111111-1-1-1-11111-1-1-1-11−1+i32−1+i32−1+i321−i321−i32−1+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−i32−1−i32−1−i321+i321+i32−1−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
χ35111-1-11-1-1111111-1-1-1-11-1-1-11111-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ3611-1111-1-11-11-1-1-111-1-111-1-11-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3711-1111-1-11-11-1-1-111-1-11-111-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3811-11-11-11-11111-11-1-11-111-11-1-11-1−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ3911-11-11-11-11111-11-1-11-1-1-11-111-11−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ4011-1-1111-1-11111-1-111-1-111-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+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
χ4111-1-1111-1-11111-1-111-1-1-1-111-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ4211-1-1-11111-11-1-1-1-1-11111-1-1-11-111−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32
χ4311-1-1-11111-11-1-1-1-1-1111-1111-11-1-1−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ4422222-12222-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ452222-2-12-2-2-2-111-1-11-11100000000−1+i3−1+i3−1+i3−1+i31−i31−i32−1+i31−i31−i31−i31−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i32−1−i31+i31+i31+i31+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i3200000000
χ46222-22-1-22-2-2-111-11-11-1100000000−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i31−i31−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200000000−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i31+i31+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200000000
χ47222-2-2-1-2-222-1-1-1-11111-100000000−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3200000000−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3200000000
χ4822-222-1-2-22-2-1111-1-111-100000000−1+i3−1+i31−i3−1+i3−1+i31−i321−i31−i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i3200000000−1−i3−1−i31+i3−1−i3−1−i31+i321+i31+i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i3200000000
χ4922-22-2-1-22-22-1-1-11-111-1100000000−1+i3−1+i31−i3−1+i31−i31−i321−i3−1+i31−i3−1+i31−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i3200000000−1−i3−1−i31+i3−1−i31+i31+i321+i3−1−i31+i3−1−i31+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i3200000000
χ5022-2-22-12-2-22-1-1-111-1-11100000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000
χ5122-2-2-2-1222-2-111111-1-1-100000000−1+i3−1+i31−i31−i31−i31−i32−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i3200000000−1−i3−1−i31+i31+i31+i31+i32−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i3200000000
χ524-400040000-40000000000000000−2+2i32−2i3000−2+2i300002−2i30000000000000000−2−2i32+2i3000−2−2i300002+2i30000000000000000
χ534-4000-20000223−2300000000000000−2+2i32−2i30001−i30000−1+i3−2ζ7−4ζ112ζ7+4ζ1100000000000000−2−2i32+2i30001+i30000−1−i34ζ7+2ζ11−4ζ7−2ζ1100000000000000
χ544-4000-200002−232300000000000000−2+2i32−2i30001−i30000−1+i32ζ7+4ζ11−2ζ7−4ζ1100000000000000−2−2i32+2i30001+i30000−1−i3−4ζ7−2ζ114ζ7+2ζ1100000000000000
χ55111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ561111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ571111-111-1-1-11-1-111-11-1-11-1111-1-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32
χ581111-111-1-1-11-1-111-11-1-1-11-1-1-1111−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32
χ59111-111-11-1-11-1-11-11-11-11-11-1-111-1−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ60111-111-11-1-11-1-11-11-11-1-11-111-1-11−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ61111-1-11-1-1111111-1-1-1-11111-1-1-1-11−1−i32−1−i32−1−i321+i321+i32−1−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+i32−1+i32−1+i321−i321−i32−1+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
χ62111-1-11-1-1111111-1-1-1-11-1-1-11111-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ6311-1111-1-11-11-1-1-111-1-111-1-11-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ6411-1111-1-11-11-1-1-111-1-11-111-11-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ6511-11-11-11-11111-11-1-11-111-11-1-11-1−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ6611-11-11-11-11111-11-1-11-1-1-11-111-11−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ6711-1-1111-1-11111-1-111-1-111-1-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−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
χ6811-1-1111-1-11111-1-111-1-1-1-111-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ6911-1-1-11111-11-1-1-1-1-11111-1-1-11-111−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32
χ7011-1-1-11111-11-1-1-1-1-1111-1111-11-1-1−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32
χ7122222-12222-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ722222-2-12-2-2-2-111-1-11-11100000000−1−i3−1−i3−1−i3−1−i31+i31+i32−1−i31+i31+i31+i31+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i32−1+i31−i31−i31−i31−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i3200000000
χ73222-22-1-22-2-2-111-11-11-1100000000−1−i3−1−i3−1−i31+i3−1−i31+i321+i3−1−i31+i31+i31+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200000000−1+i3−1+i3−1+i31−i3−1+i31−i321−i3−1+i31−i31−i31−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200000000
χ74222-2-2-1-2-222-1-1-1-11111-100000000−1−i3−1−i3−1−i31+i31+i31+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3200000000−1+i3−1+i3−1+i31−i31−i31−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3200000000
χ7522-222-1-2-22-2-1111-1-111-100000000−1−i3−1−i31+i3−1−i3−1−i31+i321+i31+i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i3200000000−1+i3−1+i31−i3−1+i3−1+i31−i321−i31−i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i3200000000
χ7622-22-2-1-22-22-1-1-11-111-1100000000−1−i3−1−i31+i3−1−i31+i31+i321+i3−1−i31+i3−1−i31+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i3200000000−1+i3−1+i31−i3−1+i31−i31−i321−i3−1+i31−i3−1+i31−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i3200000000
χ7722-2-22-12-2-22-1-1-111-1-11100000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i3200000000
χ7822-2-2-2-1222-2-111111-1-1-100000000−1−i3−1−i31+i31+i31+i31+i32−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i3200000000−1+i3−1+i31−i31−i31−i31−i32−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i3200000000
χ794-400040000-40000000000000000−2−2i32+2i3000−2−2i300002+2i30000000000000000−2+2i32−2i3000−2+2i300002−2i30000000000000000
χ804-4000-20000223−2300000000000000−2−2i32+2i30001+i30000−1−i34ζ7+2ζ11−4ζ7−2ζ1100000000000000−2+2i32−2i30001−i30000−1+i3−2ζ7−4ζ112ζ7+4ζ1100000000000000
χ814-4000-200002−232300000000000000−2−2i32+2i30001+i30000−1−i3−4ζ7−2ζ114ζ7+2ζ1100000000000000−2+2i32−2i30001−i30000−1+i32ζ7+4ζ11−2ζ7−4ζ1100000000000000

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