Finite Group Databasebeta

← Group #72259967

Character table — Group #72259967

Order 8064.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91
size116661212122424243232663636367272721441441441921927742424284848416816816822422477424242848484168168168224224774242428484841681681682242247742424284848416816816822422477424242848484168168168224224
order12244244488367141428281428282856562142222442444886636612126121212242436366121261212122424366661212612121224246666612126121212242466
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111
χ322222200000-1-122222200000-1-122222200000-1-122222200000-1-122222200000-1-122222200000-1-122222200000-1-1
χ4333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100
χ5333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100
χ633-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-100
χ733-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-1100
χ833-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-1100
χ933-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-100
χ104-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-1
χ114-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-1
χ1266-2-2-22000000066-2-2-22000000066-2-2-22000000066-2-2-22000000066-2-2-22000000066-2-2-22000000066-2-2-220000000
χ138-8000000000-118-8000000000-118-8000000000-118-8000000000-118-8000000000-118-8000000000-118-8000000000-11
χ14111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ15111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111−1+i32−1+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−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+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ1622222200000-1-122222200000-1-122222200000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i321+i32
χ17333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i3200
χ18333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200
χ1933-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-100−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i3200
χ2033-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-1100−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i3200
χ2133-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-1100−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i3200
χ2233-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i3200
χ234-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-1−2+2i32−2i300002ζ7−2ζ7000−1+i321−i32−2−2i32+2i300002ζ11−2ζ11000−1−i321+i32−2+2i32−2i300002ζ7−2ζ7000−1+i321−i32−2−2i32+2i300002ζ11−2ζ11000−1−i321+i32
χ244-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-1−2+2i32−2i30000−2ζ72ζ7000−1+i321−i32−2−2i32+2i30000−2ζ112ζ11000−1−i321+i32−2+2i32−2i30000−2ζ72ζ7000−1+i321−i32−2−2i32+2i30000−2ζ112ζ11000−1−i321+i32
χ2566-2-2-22000000066-2-2-22000000066-2-2-220000000−3+3i3−3+3i31−i31−i31−i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i30000000
χ268-8000000000-118-8000000000-118-8000000000-11−4+4i34−4i30000000001−i32−1+i32−4−4i34+4i30000000001+i32−1−i32−4+4i34−4i30000000001−i32−1+i32−4−4i34+4i30000000001+i32−1−i32
χ27111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ28111111-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-111−1−i32−1−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+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−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ2922222200000-1-122222200000-1-122222200000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i321−i32
χ30333-1-1-1111-1-100333-1-1-1111-1-100333-1-1-1111-1-100−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i3200
χ31333-1-1-1-1-1-11100333-1-1-1-1-1-11100333-1-1-1-1-1-11100−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200
χ3233-13-1-111-11-10033-13-1-111-11-10033-13-1-111-11-100−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i3200
χ3333-13-1-1-1-11-110033-13-1-1-1-11-110033-13-1-1-1-11-1100−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i3200
χ3433-1-13-111-1-110033-1-13-111-1-110033-1-13-111-1-1100−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i3200
χ3533-1-13-1-1-111-10033-1-13-1-1-111-10033-1-13-1-1-111-100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i3200
χ364-400002i−2i0001-14-400002i−2i0001-14-400002i−2i0001-1−2−2i32+2i300002ζ11−2ζ11000−1−i321+i32−2+2i32−2i300002ζ7−2ζ7000−1+i321−i32−2−2i32+2i300002ζ11−2ζ11000−1−i321+i32−2+2i32−2i300002ζ7−2ζ7000−1+i321−i32
χ374-40000−2i2i0001-14-40000−2i2i0001-14-40000−2i2i0001-1−2−2i32+2i30000−2ζ112ζ11000−1−i321+i32−2+2i32−2i30000−2ζ72ζ7000−1+i321−i32−2−2i32+2i30000−2ζ112ζ11000−1−i321+i32−2+2i32−2i30000−2ζ72ζ7000−1+i321−i32
χ3866-2-2-22000000066-2-2-22000000066-2-2-220000000−3−3i3−3−3i31+i31+i31+i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i30000000
χ398-8000000000-118-8000000000-118-8000000000-11−4−4i34+4i30000000001+i32−1−i32−4+4i34−4i30000000001−i32−1+i32−4−4i34+4i30000000001+i32−1−i32−4+4i34−4i30000000001−i32−1+i32
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111111-1-1111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1
χ4222222200000-1-122222200000-1-1-2-2-2-2-2-2000001122222200000-1-122222200000-1-1-2-2-2-2-2-20000011-2-2-2-2-2-20000011
χ43333-1-1-1111-1-100333-1-1-1111-1-100-3-3-3111-1-1-11100333-1-1-1111-1-100333-1-1-1111-1-100-3-3-3111-1-1-11100-3-3-3111-1-1-11100
χ44333-1-1-1-1-1-11100333-1-1-1-1-1-11100-3-3-3111111-1-100333-1-1-1-1-1-11100333-1-1-1-1-1-11100-3-3-3111111-1-100-3-3-3111111-1-100
χ4533-13-1-111-11-10033-13-1-111-11-100-3-31-311-1-11-110033-13-1-111-11-10033-13-1-111-11-100-3-31-311-1-11-1100-3-31-311-1-11-1100
χ4633-13-1-1-1-11-110033-13-1-1-1-11-1100-3-31-31111-11-10033-13-1-1-1-11-110033-13-1-1-1-11-1100-3-31-31111-11-100-3-31-31111-11-100
χ4733-1-13-111-1-110033-1-13-111-1-1100-3-311-31-1-111-10033-1-13-111-1-110033-1-13-111-1-1100-3-311-31-1-111-100-3-311-31-1-111-100
χ4833-1-13-1-1-111-10033-1-13-1-1-111-100-3-311-3111-1-110033-1-13-1-1-111-10033-1-13-1-1-111-100-3-311-3111-1-1100-3-311-3111-1-1100
χ494-400002i−2i0001-14-400002i−2i0001-1-440000−2i2i000-114-400002i−2i0001-14-400002i−2i0001-1-440000−2i2i000-11-440000−2i2i000-11
χ504-40000−2i2i0001-14-40000−2i2i0001-1-4400002i−2i000-114-40000−2i2i0001-14-40000−2i2i0001-1-4400002i−2i000-11-4400002i−2i000-11
χ5166-2-2-22000000066-2-2-220000000-6-6222-2000000066-2-2-22000000066-2-2-220000000-6-6222-20000000-6-6222-20000000
χ528-8000000000-118-8000000000-11-880000000001-18-8000000000-118-8000000000-11-880000000001-1-880000000001-1
χ5311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−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+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ54111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111111-1-1−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−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−i321+i321+i32
χ5522222200000-1-122222200000-1-1-2-2-2-2-2-20000011−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i321+i321−i31−i31−i31−i31−i31−i300000−1+i32−1+i321+i31+i31+i31+i31+i31+i300000−1−i32−1−i32
χ56333-1-1-1111-1-100333-1-1-1111-1-100-3-3-3111-1-1-11100−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32003−3i323−3i323−3i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32003+3i323+3i323+3i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i3200
χ57333-1-1-1-1-1-11100333-1-1-1-1-1-11100-3-3-3111111-1-100−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32003−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32003+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200
χ5833-13-1-111-11-10033-13-1-111-11-100-3-31-311-1-11-1100−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i32003−3i323−3i32−1+i323−3i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32003+3i323+3i32−1−i323+3i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3200
χ5933-13-1-1-1-11-110033-13-1-1-1-11-1100-3-31-31111-11-100−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i32003−3i323−3i32−1+i323−3i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32003+3i323+3i32−1−i323+3i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i3200
χ6033-1-13-111-1-110033-1-13-111-1-1100-3-311-31-1-111-100−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i32003−3i323−3i32−1+i32−1+i323−3i32−1+i321−i321−i32−1+i32−1+i321−i32003+3i323+3i32−1−i32−1−i323+3i32−1−i321+i321+i32−1−i32−1−i321+i3200
χ6133-1-13-1-1-111-10033-1-13-1-1-111-100-3-311-3111-1-1100−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i32003−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i321−i321−i32−1+i32003+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i321+i321+i32−1−i3200
χ624-400002i−2i0001-14-400002i−2i0001-1-440000−2i2i000-11−2+2i32−2i300002ζ7−2ζ7000−1+i321−i32−2−2i32+2i300002ζ11−2ζ11000−1−i321+i322−2i3−2+2i30000−2ζ72ζ70001−i32−1+i322+2i3−2−2i30000−2ζ112ζ110001+i32−1−i32
χ634-40000−2i2i0001-14-40000−2i2i0001-1-4400002i−2i000-11−2+2i32−2i30000−2ζ72ζ7000−1+i321−i32−2−2i32+2i30000−2ζ112ζ11000−1−i321+i322−2i3−2+2i300002ζ7−2ζ70001−i32−1+i322+2i3−2−2i300002ζ11−2ζ110001+i32−1−i32
χ6466-2-2-22000000066-2-2-220000000-6-6222-20000000−3+3i3−3+3i31−i31−i31−i3−1+i30000000−3−3i3−3−3i31+i31+i31+i3−1−i300000003−3i33−3i3−1+i3−1+i3−1+i31−i300000003+3i33+3i3−1−i3−1−i3−1−i31+i30000000
χ658-8000000000-118-8000000000-11-880000000001-1−4+4i34−4i30000000001−i32−1+i32−4−4i34+4i30000000001+i32−1−i324−4i3−4+4i3000000000−1+i321−i324+4i3−4−4i3000000000−1−i321+i32
χ6611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+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−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ67111111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-111111-1-1−1−i32−1−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+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+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+i321−i321−i32
χ6822222200000-1-122222200000-1-1-2-2-2-2-2-20000011−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000001−i321−i321+i31+i31+i31+i31+i31+i300000−1−i32−1−i321−i31−i31−i31−i31−i31−i300000−1+i32−1+i32
χ69333-1-1-1111-1-100333-1-1-1111-1-100-3-3-3111-1-1-11100−3−3i32−3−3i32−3−3i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32003+3i323+3i323+3i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32003−3i323−3i323−3i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i3200
χ70333-1-1-1-1-1-11100333-1-1-1-1-1-11100-3-3-3111111-1-100−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32003+3i323+3i323+3i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32003−3i323−3i323−3i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200
χ7133-13-1-111-11-10033-13-1-111-11-100-3-31-311-1-11-1100−3−3i32−3−3i321+i32−3−3i321+i321+i32−1−i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i321−i32−3+3i321−i321−i32−1+i32−1+i321−i32−1+i321−i32003+3i323+3i32−1−i323+3i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32003−3i323−3i32−1+i323−3i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3200
χ7233-13-1-1-1-11-110033-13-1-1-1-11-1100-3-31-31111-11-100−3−3i32−3−3i321+i32−3−3i321+i321+i321+i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i321−i32−3+3i321−i321−i321−i321−i32−1+i321−i32−1+i32003+3i323+3i32−1−i323+3i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32003−3i323−3i32−1+i323−3i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i3200
χ7333-1-13-111-1-110033-1-13-111-1-1100-3-311-31-1-111-100−3−3i32−3−3i321+i321+i32−3−3i321+i32−1−i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i321−i321−i32−3+3i321−i32−1+i32−1+i321−i321−i32−1+i32003+3i323+3i32−1−i32−1−i323+3i32−1−i321+i321+i32−1−i32−1−i321+i32003−3i323−3i32−1+i32−1+i323−3i32−1+i321−i321−i32−1+i32−1+i321−i3200
χ7433-1-13-1-1-111-10033-1-13-1-1-111-100-3-311-3111-1-1100−3−3i32−3−3i321+i321+i32−3−3i321+i321+i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i321−i321−i32−3+3i321−i321−i321−i32−1+i32−1+i321−i32003+3i323+3i32−1−i32−1−i323+3i32−1−i32−1−i32−1−i321+i321+i32−1−i32003−3i323−3i32−1+i32−1+i323−3i32−1+i32−1+i32−1+i321−i321−i32−1+i3200
χ754-400002i−2i0001-14-400002i−2i0001-1-440000−2i2i000-11−2−2i32+2i300002ζ11−2ζ11000−1−i321+i32−2+2i32−2i300002ζ7−2ζ7000−1+i321−i322+2i3−2−2i30000−2ζ112ζ110001+i32−1−i322−2i3−2+2i30000−2ζ72ζ70001−i32−1+i32
χ764-40000−2i2i0001-14-40000−2i2i0001-1-4400002i−2i000-11−2−2i32+2i30000−2ζ112ζ11000−1−i321+i32−2+2i32−2i30000−2ζ72ζ7000−1+i321−i322+2i3−2−2i300002ζ11−2ζ110001+i32−1−i322−2i3−2+2i300002ζ7−2ζ70001−i32−1+i32
χ7766-2-2-22000000066-2-2-220000000-6-6222-20000000−3−3i3−3−3i31+i31+i31+i3−1−i30000000−3+3i3−3+3i31−i31−i31−i3−1+i300000003+3i33+3i3−1−i3−1−i3−1−i31+i300000003−3i33−3i3−1+i3−1+i3−1+i31−i30000000
χ788-8000000000-118-8000000000-11-880000000001-1−4−4i34+4i30000000001+i32−1−i32−4+4i34−4i30000000001−i32−1+i324+4i3−4−4i3000000000−1−i321+i324−4i3−4+4i3000000000−1+i321−i32
χ796666666666666-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ80666666-6-6-6-6-666-1-1-1-1-1-111111-1-100000000000000000000000000000000000000000000000000000000000000000
χ8112121212121200000-6-6-2-2-2-2-2-2000001100000000000000000000000000000000000000000000000000000000000000000
χ82181818-6-6-6666-6-600-3-3-3111-1-1-1110000000000000000000000000000000000000000000000000000000000000000000
χ83181818-6-6-6-6-6-66600-3-3-3111111-1-10000000000000000000000000000000000000000000000000000000000000000000
χ841818-618-6-666-66-600-3-31-311-1-11-110000000000000000000000000000000000000000000000000000000000000000000
χ851818-618-6-6-6-66-6600-3-31-31111-11-10000000000000000000000000000000000000000000000000000000000000000000
χ861818-6-618-666-6-6600-3-311-31-1-111-10000000000000000000000000000000000000000000000000000000000000000000
χ871818-6-618-6-6-666-600-3-311-3111-1-110000000000000000000000000000000000000000000000000000000000000000000
χ8824-24000012i−12i0006-6-440000−2i2i000-1100000000000000000000000000000000000000000000000000000000000000000
χ8924-240000−12i12i0006-6-4400002i−2i000-1100000000000000000000000000000000000000000000000000000000000000000
χ903636-12-12-12120000000-6-6222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ9148-48000000000-66-880000000001-100000000000000000000000000000000000000000000000000000000000000000

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