Finite Group Databasebeta

← Group #13165908

Character table — Group #13165908

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222266881212121212121212121616161616242424364848727211222226688121212121212121212161616161624242436484872721122222668812121212121212121216161616162424243648487272
order1234612122436244612121212123612121282424466483631261212612366121261212121212361212122424241266122436312612126123661212612121212123612121224242412661224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-111-1-1-1-111111-1-1-1111-1-1111111111111-1-111-1-1-1-111111-1-1-1111-1-1111111111111-1-111-1-1-1-111111-1-1-1111-1-1
χ311111111111-11111111111111111-1-1-1-1-111111111111-11111111111111111-1-1-1-1-111111111111-11111111111111111-1-1-1-1-1
χ411111111111-1-1-111-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-111-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-111-1-1-1-111111-1-1-1-1-1-111
χ5222222222-1-1200220000-1-1-1-1-10002-1-100222222222-1-1200220000-1-1-1-1-10002-1-100222222222-1-1200220000-1-1-1-1-10002-1-100
χ6222222222-1-1-200220000-1-1-1-1-1000-21100222222222-1-1-200220000-1-1-1-1-1000-21100222222222-1-1-200220000-1-1-1-1-1000-21100
χ7222-22-2-2-2222000-22000022-2-2-200000000222-22-2-2-2222000-22000022-2-2-200000000222-22-2-2-2222000-22000022-2-2-200000000
χ8222-22-2-2-22-1-1000-220000-1-11110000−i3i300222-22-2-2-22-1-1000-220000-1-11110000−i3i300222-22-2-2-22-1-1000-220000-1-11110000−i3i300
χ9222-22-2-2-22-1-1000-220000-1-11110000i3−i300222-22-2-2-22-1-1000-220000-1-11110000i3−i300222-22-2-2-22-1-1000-220000-1-11110000i3−i300
χ1022-12-1-1-12222022-1-1-1-1-1-1-1-12-1-12-1-10000022-12-1-1-12222022-1-1-1-1-1-1-1-12-1-12-1-10000022-12-1-1-12222022-1-1-1-1-1-1-1-12-1-12-1-100000
χ1122-12-1-1-122220-2-2-1-11111-1-12-1-1-2110000022-12-1-1-122220-2-2-1-11111-1-12-1-1-2110000022-12-1-1-122220-2-2-1-11111-1-12-1-1-21100000
χ1222-1-2-111-22220001-133−3−3-1-1-21103−30000022-1-2-111-22220001-133−3−3-1-1-21103−30000022-1-2-111-22220001-133−3−3-1-1-21103−300000
χ1322-1-2-111-22220001-1−3−333-1-1-2110−330000022-1-2-111-22220001-1−3−333-1-1-2110−330000022-1-2-111-22220001-1−3−333-1-1-2110−3300000
χ143333333-1-100311-1-1111100000-1-1-1-100-113333333-1-100311-1-1111100000-1-1-1-100-113333333-1-100311-1-1111100000-1-1-1-100-11
χ153333333-1-1003-1-1-1-1-1-1-1-100000111-1001-13333333-1-1003-1-1-1-1-1-1-1-100000111-1001-13333333-1-1003-1-1-1-1-1-1-1-100000111-1001-1
χ163333333-1-100-311-1-1111100000-1-1-11001-13333333-1-100-311-1-1111100000-1-1-11001-13333333-1-100-311-1-1111100000-1-1-11001-1
χ173333333-1-100-3-1-1-1-1-1-1-1-100000111100-113333333-1-100-3-1-1-1-1-1-1-1-100000111100-113333333-1-100-3-1-1-1-1-1-1-1-100000111100-11
χ1844-24-2-2-244-2-2000-2-2000011-2110000000044-24-2-2-244-2-2000-2-2000011-2110000000044-24-2-2-244-2-2000-2-2000011-21100000000
χ1944-2-4-222-44-2-20002-20000112-1-10000000044-2-4-222-44-2-20002-20000112-1-10000000044-2-4-222-44-2-20002-20000112-1-100000000
χ204-440-40000-2202-2002-22-2-22000000000004-440-40000-2202-2002-22-2-22000000000004-440-40000-2202-2002-22-2-2200000000000
χ214-440-40000-220-2200-22-22-22000000000004-440-40000-220-2200-22-22-22000000000004-440-40000-220-2200-22-22-2200000000000
χ224-4-20223−2300-2202-200−1+31−3−1−31+31-103−3000000004-4-20223−2300-2202-200−1+31−3−1−31+31-103−3000000004-4-20223−2300-2202-200−1+31−3−1−31+31-103−300000000
χ234-4-20223−2300-220-22001−3−1+31+3−1−31-103−3000000004-4-20223−2300-220-22001−3−1+31+3−1−31-103−3000000004-4-20223−2300-220-22001−3−1+31+3−1−31-103−300000000
χ244-4-202−232300-2202-200−1−31+3−1+31−31-10−33000000004-4-202−232300-2202-200−1−31+3−1+31−31-10−33000000004-4-202−232300-2202-200−1−31+3−1+31−31-10−3300000000
χ254-4-202−232300-220-22001+3−1−31−3−1+31-10−33000000004-4-202−232300-220-22001+3−1−31−3−1+31-10−33000000004-4-202−232300-220-22001+3−1−31−3−1+31-10−3300000000
χ26666-66-6-62-2000002-200000000000000000666-66-6-62-2000002-200000000000000000666-66-6-62-2000002-200000000000000000
χ2766-36-3-3-3-2-20002211-1-1-1-100000-2110000066-36-3-3-3-2-20002211-1-1-1-100000-2110000066-36-3-3-3-2-20002211-1-1-1-100000-21100000
χ2866-36-3-3-3-2-2000-2-2111111000002-1-10000066-36-3-3-3-2-2000-2-2111111000002-1-10000066-36-3-3-3-2-2000-2-2111111000002-1-100000
χ2966-3-6-3332-200000-1133−3−3000000−330000066-3-6-3332-200000-1133−3−3000000−330000066-3-6-3332-200000-1133−3−3000000−3300000
χ3066-3-6-3332-200000-11−3−3330000003−30000066-3-6-3332-200000-11−3−3330000003−30000066-3-6-3332-200000-11−3−3330000003−300000
χ318-880-800002-20000000002-2000000000008-880-800002-20000000002-2000000000008-880-800002-20000000002-200000000000
χ328-8-40443−43002-2000000000-110−33000000008-8-40443−43002-2000000000-110−33000000008-8-40443−43002-2000000000-110−3300000000
χ338-8-404−4343002-2000000000-1103−3000000008-8-404−4343002-2000000000-1103−3000000008-8-404−4343002-2000000000-1103−300000000
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
χ35111111111111-1-111-1-1-1-111111-1-1-1111-1-1−1+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+i32−1+i32−1+i32−1+i321−i321−i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ3611111111111-11111111111111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−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−i321+i321+i321+i321+i321+i32
χ3711111111111-1-1-111-1-1-1-111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ38222222222-1-1200220000-1-1-1-1-10002-1-100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i300−1+i3−1+i300001−i321−i321−i321−i321−i32000−1+i31−i321−i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i300−1−i3−1−i300001+i321+i321+i321+i321+i32000−1−i31+i321+i3200
χ39222222222-1-1-200220000-1-1-1-1-1000-21100−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i300−1+i3−1+i300001−i321−i321−i321−i321−i320001−i3−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i300−1−i3−1−i300001+i321+i321+i321+i321+i320001+i3−1−i32−1−i3200
χ40222-22-2-2-2222000-22000022-2-2-200000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i30001−i3−1+i30000−1+i3−1+i31−i31−i31−i300000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i30001+i3−1−i30000−1−i3−1−i31+i31+i31+i300000000
χ41222-22-2-2-22-1-1000-220000-1-11110000−i3i300−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i320001−i3−1+i300001−i321−i32−1+i32−1+i32−1+i3200003+i32−3−i3200−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i320001+i3−1−i300001+i321+i32−1−i32−1−i32−1−i320000−3+i323−i3200
χ42222-22-2-2-22-1-1000-220000-1-11110000i3−i300−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i320001−i3−1+i300001−i321−i32−1+i32−1+i32−1+i320000−3−i323+i3200−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i320001+i3−1−i300001+i321+i32−1−i32−1−i32−1−i3200003−i32−3+i3200
χ4322-12-1-1-12222022-1-1-1-1-1-1-1-12-1-12-1-100000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i30−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i3200000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i30−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i3200000
χ4422-12-1-1-122220-2-2-1-11111-1-12-1-1-21100000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i301−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i321−i321−i3−1+i32−1+i3200000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i301+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i321+i321+i3−1−i32−1−i3200000
χ4522-1-2-111-22220001-133−3−3-1-1-21103−300000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i3−1+i3000−1+i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i321−i321−i3−1+i32−1+i320−ζ7−2ζ11ζ7+2ζ1100000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i3−1−i3000−1−i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i321+i321+i3−1−i32−1−i3202ζ7+ζ11−2ζ7−ζ1100000
χ4622-1-2-111-22220001-1−3−333-1-1-2110−3300000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i3−1+i3000−1+i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i321−i321−i3−1+i32−1+i320ζ7+2ζ11−ζ7−2ζ1100000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i3−1−i3000−1−i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i321+i321+i3−1−i32−1−i320−2ζ7−ζ112ζ7+ζ1100000
χ473333333-1-100311-1-1111100000-1-1-1-100-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200−3+3i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000001−i321−i321−i321−i32001−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200−3−3i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000001+i321+i321+i321+i32001+i32−1−i32
χ483333333-1-1003-1-1-1-1-1-1-1-100000111-1001-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200−3+3i321−i321−i321−i321−i321−i321−i321−i321−i3200000−1+i32−1+i32−1+i321−i3200−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200−3−3i321+i321+i321+i321+i321+i321+i321+i321+i3200000−1−i32−1−i32−1−i321+i3200−1−i321+i32
χ493333333-1-100-311-1-1111100000-1-1-11001-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32003−3i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000001−i321−i321−i32−1+i3200−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32003+3i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000001+i321+i321+i32−1−i3200−1−i321+i32
χ503333333-1-100-3-1-1-1-1-1-1-1-100000111100-11−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32003−3i321−i321−i321−i321−i321−i321−i321−i321−i3200000−1+i32−1+i32−1+i32−1+i32001−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32003+3i321+i321+i321+i321+i321+i321+i321+i321+i3200000−1−i32−1−i32−1−i32−1−i32001+i32−1−i32
χ5144-24-2-2-244-2-2000-2-2000011-21100000000−2+2i3−2+2i31−i3−2+2i31−i31−i31−i3−2+2i3−2+2i31−i31−i30001−i31−i30000−1+i32−1+i321−i3−1+i32−1+i3200000000−2−2i3−2−2i31+i3−2−2i31+i31+i31+i3−2−2i3−2−2i31+i31+i30001+i31+i30000−1−i32−1−i321+i3−1−i32−1−i3200000000
χ5244-2-4-222-44-2-20002-20000112-1-100000000−2+2i3−2+2i31−i32−2i31−i3−1+i3−1+i32−2i3−2+2i31−i31−i3000−1+i31−i30000−1+i32−1+i32−1+i31−i321−i3200000000−2−2i3−2−2i31+i32+2i31+i3−1−i3−1−i32+2i3−2−2i31+i31+i3000−1−i31+i30000−1−i32−1−i32−1−i31+i321+i3200000000
χ534-440-40000-2202-2002-22-2-2200000000000−2+2i32−2i3−2+2i302−2i300001−i3−1+i30−1+i31−i300−1+i31−i3−1+i31−i31−i3−1+i300000000000−2−2i32+2i3−2−2i302+2i300001+i3−1−i30−1−i31+i300−1−i31+i3−1−i31+i31+i3−1−i300000000000
χ544-440-40000-220-2200-22-22-2200000000000−2+2i32−2i3−2+2i302−2i300001−i3−1+i301−i3−1+i3001−i3−1+i31−i3−1+i31−i3−1+i300000000000−2−2i32+2i3−2−2i302+2i300001+i3−1−i301+i3−1−i3001+i3−1−i31+i3−1−i31+i3−1−i300000000000
χ554-4-20223−2300-2202-200−1+31−3−1−31+31-103−300000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i30−1+i31−i300−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11−1+i321−i320−ζ7−2ζ11ζ7+2ζ1100000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i30−1−i31+i300ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11−1−i321+i3202ζ7+ζ11−2ζ7−ζ1100000000
χ564-4-20223−2300-220-22001−3−1+31+3−1−31-103−300000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i301−i3−1+i300ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11−1+i321−i320−ζ7−2ζ11ζ7+2ζ1100000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i301+i3−1−i300−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11−1−i321+i3202ζ7+ζ11−2ζ7−ζ1100000000
χ574-4-202−232300-2202-200−1−31+3−1+31−31-10−3300000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i30−1+i31−i300ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11−1+i321−i320ζ7+2ζ11−ζ7−2ζ1100000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i30−1−i31+i300ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11−1−i321+i320−2ζ7−ζ112ζ7+ζ1100000000
χ584-4-202−232300-220-22001+3−1−31−3−1+31-10−3300000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i301−i3−1+i300−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−1+i321−i320ζ7+2ζ11−ζ7−2ζ1100000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i301+i3−1−i300−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11−1−i321+i320−2ζ7−ζ112ζ7+ζ1100000000
χ59666-66-6-62-2000002-200000000000000000−3+3i3−3+3i3−3+3i33−3i3−3+3i33−3i33−3i3−1+i31−i300000−1+i31−i300000000000000000−3−3i3−3−3i3−3−3i33+3i3−3−3i33+3i33+3i3−1−i31+i300000−1−i31+i300000000000000000
χ6066-36-3-3-3-2-20002211-1-1-1-100000-21100000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i321−i31−i3000−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000001−i3−1+i32−1+i3200000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i321+i31+i3000−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000001+i3−1−i32−1−i3200000
χ6166-36-3-3-3-2-2000-2-2111111000002-1-100000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i321−i31−i30001−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000−1+i31−i321−i3200000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i321+i31+i30001+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000−1−i31+i321+i3200000
χ6266-3-6-3332-200000-1133−3−3000000−3300000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−3+3i32−1+i31−i3000001−i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11000000ζ7+2ζ11−ζ7−2ζ1100000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−3−3i32−1−i31+i3000001+i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11000000−2ζ7−ζ112ζ7+ζ1100000
χ6366-3-6-3332-200000-11−3−3330000003−300000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−3+3i32−1+i31−i3000001−i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11000000−ζ7−2ζ11ζ7+2ζ1100000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−3−3i32−1−i31+i3000001+i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000002ζ7+ζ11−2ζ7−ζ1100000
χ648-880-800002-20000000002-200000000000−4+4i34−4i3−4+4i304−4i30000−1+i31−i3000000000−1+i31−i300000000000−4−4i34+4i3−4−4i304+4i30000−1−i31+i3000000000−1−i31+i300000000000
χ658-8-40443−43002-2000000000-110−3300000000−4+4i34−4i32−2i30−2+2i3−4ζ7−8ζ114ζ7+8ζ1100−1+i31−i30000000001−i32−1+i320ζ7+2ζ11−ζ7−2ζ1100000000−4−4i34+4i32+2i30−2−2i38ζ7+4ζ11−8ζ7−4ζ1100−1−i31+i30000000001+i32−1−i320−2ζ7−ζ112ζ7+ζ1100000000
χ668-8-404−4343002-2000000000-1103−300000000−4+4i34−4i32−2i30−2+2i34ζ7+8ζ11−4ζ7−8ζ1100−1+i31−i30000000001−i32−1+i320−ζ7−2ζ11ζ7+2ζ1100000000−4−4i34+4i32+2i30−2−2i3−8ζ7−4ζ118ζ7+4ζ1100−1−i31+i30000000001+i32−1−i3202ζ7+ζ11−2ζ7−ζ1100000000
χ67111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ68111111111111-1-111-1-1-1-111111-1-1-1111-1-1−1−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−i32−1−i32−1−i32−1−i321+i321+i321+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ6911111111111-11111111111111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−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+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+i321−i321−i321−i321−i321−i32
χ7011111111111-1-1-111-1-1-1-111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ71222222222-1-1200220000-1-1-1-1-10002-1-100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i300−1−i3−1−i300001+i321+i321+i321+i321+i32000−1−i31+i321+i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i300−1+i3−1+i300001−i321−i321−i321−i321−i32000−1+i31−i321−i3200
χ72222222222-1-1-200220000-1-1-1-1-1000-21100−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i300−1−i3−1−i300001+i321+i321+i321+i321+i320001+i3−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i300−1+i3−1+i300001−i321−i321−i321−i321−i320001−i3−1+i32−1+i3200
χ73222-22-2-2-2222000-22000022-2-2-200000000−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i30001+i3−1−i30000−1−i3−1−i31+i31+i31+i300000000−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i30001−i3−1+i30000−1+i3−1+i31−i31−i31−i300000000
χ74222-22-2-2-22-1-1000-220000-1-11110000−i3i300−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i320001+i3−1−i300001+i321+i32−1−i32−1−i32−1−i320000−3+i323−i3200−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i320001−i3−1+i300001−i321−i32−1+i32−1+i32−1+i3200003+i32−3−i3200
χ75222-22-2-2-22-1-1000-220000-1-11110000i3−i300−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i31+i321+i320001+i3−1−i300001+i321+i32−1−i32−1−i32−1−i3200003−i32−3+i3200−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i31−i321−i320001−i3−1+i300001−i321−i32−1+i32−1+i32−1+i320000−3−i323+i3200
χ7622-12-1-1-12222022-1-1-1-1-1-1-1-12-1-12-1-100000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i30−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i3200000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i30−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i3200000
χ7722-12-1-1-122220-2-2-1-11111-1-12-1-1-21100000−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i301+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i321+i321+i3−1−i32−1−i3200000−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i301−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i321−i321−i3−1+i32−1+i3200000
χ7822-1-2-111-22220001-133−3−3-1-1-21103−300000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i3−1−i3000−1−i321+i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ111+i321+i321+i3−1−i32−1−i3202ζ7+ζ11−2ζ7−ζ1100000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i3−1+i3000−1+i321−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ111−i321−i321−i3−1+i32−1+i320−ζ7−2ζ11ζ7+2ζ1100000
χ7922-1-2-111-22220001-1−3−333-1-1-2110−3300000−1−i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i3−1−i3000−1−i321+i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ111+i321+i321+i3−1−i32−1−i320−2ζ7−ζ112ζ7+ζ1100000−1+i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i3−1+i3000−1+i321−i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ111−i321−i321−i3−1+i32−1+i320ζ7+2ζ11−ζ7−2ζ1100000
χ803333333-1-100311-1-1111100000-1-1-1-100-11−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200−3−3i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000001+i321+i321+i321+i32001+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200−3+3i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000001−i321−i321−i321−i32001−i32−1+i32
χ813333333-1-1003-1-1-1-1-1-1-1-100000111-1001-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200−3−3i321+i321+i321+i321+i321+i321+i321+i321+i3200000−1−i32−1−i32−1−i321+i3200−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200−3+3i321−i321−i321−i321−i321−i321−i321−i321−i3200000−1+i32−1+i32−1+i321−i3200−1+i321−i32
χ823333333-1-100-311-1-1111100000-1-1-11001-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32003+3i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32000001+i321+i321+i32−1−i3200−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32003−3i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32000001−i321−i321−i32−1+i3200−1+i321−i32
χ833333333-1-100-3-1-1-1-1-1-1-1-100000111100-11−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32003+3i321+i321+i321+i321+i321+i321+i321+i321+i3200000−1−i32−1−i32−1−i32−1−i32001+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32003−3i321−i321−i321−i321−i321−i321−i321−i321−i3200000−1+i32−1+i32−1+i32−1+i32001−i32−1+i32
χ8444-24-2-2-244-2-2000-2-2000011-21100000000−2−2i3−2−2i31+i3−2−2i31+i31+i31+i3−2−2i3−2−2i31+i31+i30001+i31+i30000−1−i32−1−i321+i3−1−i32−1−i3200000000−2+2i3−2+2i31−i3−2+2i31−i31−i31−i3−2+2i3−2+2i31−i31−i30001−i31−i30000−1+i32−1+i321−i3−1+i32−1+i3200000000
χ8544-2-4-222-44-2-20002-20000112-1-100000000−2−2i3−2−2i31+i32+2i31+i3−1−i3−1−i32+2i3−2−2i31+i31+i3000−1−i31+i30000−1−i32−1−i32−1−i31+i321+i3200000000−2+2i3−2+2i31−i32−2i31−i3−1+i3−1+i32−2i3−2+2i31−i31−i3000−1+i31−i30000−1+i32−1+i32−1+i31−i321−i3200000000
χ864-440-40000-2202-2002-22-2-2200000000000−2−2i32+2i3−2−2i302+2i300001+i3−1−i30−1−i31+i300−1−i31+i3−1−i31+i31+i3−1−i300000000000−2+2i32−2i3−2+2i302−2i300001−i3−1+i30−1+i31−i300−1+i31−i3−1+i31−i31−i3−1+i300000000000
χ874-440-40000-220-2200-22-22-2200000000000−2−2i32+2i3−2−2i302+2i300001+i3−1−i301+i3−1−i3001+i3−1−i31+i3−1−i31+i3−1−i300000000000−2+2i32−2i3−2+2i302−2i300001−i3−1+i301−i3−1+i3001−i3−1+i31−i3−1+i31−i3−1+i300000000000
χ884-4-20223−2300-2202-200−1+31−3−1−31+31-103−300000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i30−1−i31+i300ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11−1−i321+i3202ζ7+ζ11−2ζ7−ζ1100000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i30−1+i31−i300−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11−1+i321−i320−ζ7−2ζ11ζ7+2ζ1100000000
χ894-4-20223−2300-220-22001−3−1+31+3−1−31-103−300000000−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ11001+i3−1−i301+i3−1−i300−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11−1−i321+i3202ζ7+ζ11−2ζ7−ζ1100000000−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ11001−i3−1+i301−i3−1+i300ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11−1+i321−i320−ζ7−2ζ11ζ7+2ζ1100000000
χ904-4-202−232300-2202-200−1−31+3−1+31−31-10−3300000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i30−1−i31+i300ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11−1−i321+i320−2ζ7−ζ112ζ7+ζ1100000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i30−1+i31−i300ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11−1+i321−i320ζ7+2ζ11−ζ7−2ζ1100000000
χ914-4-202−232300-220-22001+3−1−31−3−1+31-10−3300000000−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ11001+i3−1−i301+i3−1−i300−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11−1−i321+i320−2ζ7−ζ112ζ7+ζ1100000000−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ11001−i3−1+i301−i3−1+i300−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−1+i321−i320ζ7+2ζ11−ζ7−2ζ1100000000
χ92666-66-6-62-2000002-200000000000000000−3−3i3−3−3i3−3−3i33+3i3−3−3i33+3i33+3i3−1−i31+i300000−1−i31+i300000000000000000−3+3i3−3+3i3−3+3i33−3i3−3+3i33−3i33−3i3−1+i31−i300000−1+i31−i300000000000000000
χ9366-36-3-3-3-2-20002211-1-1-1-100000-21100000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i321+i31+i3000−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32000001+i3−1−i32−1−i3200000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i321−i31−i3000−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i32000001−i3−1+i32−1+i3200000
χ9466-36-3-3-3-2-2000-2-2111111000002-1-100000−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i321+i31+i30001+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000−1−i31+i321+i3200000−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i321−i31−i30001−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000−1+i31−i321−i3200000
χ9566-3-6-3332-200000-1133−3−3000000−3300000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−3−3i32−1−i31+i3000001+i32−1−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11000000−2ζ7−ζ112ζ7+ζ1100000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−3+3i32−1+i31−i3000001−i32−1+i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11000000ζ7+2ζ11−ζ7−2ζ1100000
χ9666-3-6-3332-200000-11−3−3330000003−300000−3−3i3−3−3i33+3i323+3i33+3i32−3−3i32−3−3i32−1−i31+i3000001+i32−1−i32−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ110000002ζ7+ζ11−2ζ7−ζ1100000−3+3i3−3+3i33−3i323−3i33−3i32−3+3i32−3+3i32−1+i31−i3000001−i32−1+i32ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11000000−ζ7−2ζ11ζ7+2ζ1100000
χ978-880-800002-20000000002-200000000000−4−4i34+4i3−4−4i304+4i30000−1−i31+i3000000000−1−i31+i300000000000−4+4i34−4i3−4+4i304−4i30000−1+i31−i3000000000−1+i31−i300000000000
χ988-8-40443−43002-2000000000-110−3300000000−4−4i34+4i32+2i30−2−2i38ζ7+4ζ11−8ζ7−4ζ1100−1−i31+i30000000001+i32−1−i320−2ζ7−ζ112ζ7+ζ1100000000−4+4i34−4i32−2i30−2+2i3−4ζ7−8ζ114ζ7+8ζ1100−1+i31−i30000000001−i32−1+i320ζ7+2ζ11−ζ7−2ζ1100000000
χ998-8-404−4343002-2000000000-1103−300000000−4−4i34+4i32+2i30−2−2i3−8ζ7−4ζ118ζ7+4ζ1100−1−i31+i30000000001+i32−1−i3202ζ7+ζ11−2ζ7−ζ1100000000−4+4i34−4i32−2i30−2+2i34ζ7+8ζ11−4ζ7−8ζ1100−1+i31−i30000000001−i32−1+i320−ζ7−2ζ11ζ7+2ζ1100000000

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