Finite Group Databasebeta

← Group #13053607

Character table — Group #13053607

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444446666121222224444448888888812121212242422224444448888888812121212242422224444448888888812121212242477771414141414142828282828282828424242428484
order12442346121268812242424244444247142828142128428484425656841681681681682828282814287142828142128428484425656841681681681682828282814287142828142128428484425656841681681681682828282814282244264612126881224242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ311111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-1
χ411111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-1
χ611-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11
χ711-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11
χ811-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1
χ922222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000
χ1022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000
χ112222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-20000000000
χ122222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i3000000
χ132222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i3000000
χ1422-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-20000000000
χ1522-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−33000000
χ1622-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−3000000
χ1722-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii000000
χ1822-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i000000
χ192-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00
χ202-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00
χ212-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i00
χ222-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i00
χ234-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000
χ244-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ2711111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-111
χ2811111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1
χ2911-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-111-1-1-1111-1-1-1i−i1ii−i−iii−i−i1-1-1-1111-1-1-1111−ii-1−i−iii−i−iii-11
χ3011-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-1111-1-1-1111-1-1-1i−i1ii−i−i−i−iii-11-1-1111-1-1-1111−ii-1−i−iiiii−i−i1-1
χ3111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-1111-1-1-1111-1-1-1−ii1−i−iiiii−i−i-11-1-1111-1-1-1111i−i-1ii−i−i−i−iii1-1
χ3211-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-111-1-1-1111-1-1-1−ii1−i−iii−i−iii1-1-1-1111-1-1-1111i−i-1ii−i−iii−i−i-11
χ3322222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-100000022222-12-1-1-1-122-1-1-1-1-1000000-2-2-2-2-21-21111-2-211111000000
χ3422222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-1111100000022222-12-1-1-1-1-2-2-11111000000-2-2-2-2-21-21111221-1-1-1-1000000
χ352222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-200000000002222-22-2222-200-20000000000-2-2-2-22-22-2-2-220020000000000
χ362222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i30000002222-2-1-2-1-1-11001−i3i3−i3i3000000-2-2-2-2212111-100-1i3−i3i3−i3000000
χ372222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i30000002222-2-1-2-1-1-11001i3−i3i3−i3000000-2-2-2-2212111-100-1−i3i3−i3i3000000
χ3822-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-2000000000022-2-222-22-2-2200-20000000000-2-222-2-22-222-20020000000000
χ3922-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−3300000022-2-22-1-2-111-10013−3−33000000-2-222-2121-1-1100-1−333−3000000
χ4022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−300000022-2-22-1-2-111-1001−333−3000000-2-222-2121-1-1100-13−3−33000000
χ4122-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii00000022-2-2-2-12-11112i−2i-1−i−iii000000-2-22221-21-1-1-1−2i2i1ii−i−i000000
χ4222-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i00000022-2-2-2-12-1111−2i2i-1ii−i−i000000-2-22221-21-1-1-12i−2i1−i−iii000000
χ432-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i002-22i−2i020-22i−2i000000001+i−1−i1−i−1+i00-22−2i2i0-202−2i2i00000000−1−i1+i−1+i1−i00
χ442-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i002-22i−2i020-22i−2i00000000−1−i1+i−1+i1−i00-22−2i2i0-202−2i2i000000001+i−1−i1−i−1+i00
χ452-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i002-2−2i2i020-2−2i2i000000001−i−1+i1+i−1−i00-222i−2i0-2022i−2i00000000−1+i1−i−1−i1+i00
χ462-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i002-2−2i2i020-2−2i2i00000000−1+i1−i−1−i1+i00-222i−2i0-2022i−2i000000001−i−1+i1+i−1−i00
χ474-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i000000000000004-44i−4i0-202−2i2i00000000000000-44−4i4i020-22i−2i00000000000000
χ484-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i000000000000004-4−4i4i0-2022i−2i00000000000000-444i−4i020-2−2i2i00000000000000
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χ50222222222222222222-2-2-2-2-2-2ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62000000000000000000000000
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χ11244-4-44-2-4-222-2002−232323−230000002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ22+2ζ34+2ζ50+2ζ62−ζ22−ζ34−ζ50−ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ6200ζ22+ζ34+ζ50+ζ62−ζ43−ζ55+ζ71+ζ83ζ43+ζ55−ζ71−ζ83ζ43+ζ55−ζ71−ζ83−ζ43−ζ55+ζ71+ζ830000002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ2+2ζ26+2ζ58+2ζ82−ζ2−ζ26−ζ58−ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ8200ζ2+ζ26+ζ58+ζ82−ζ19+ζ23+ζ47−ζ79ζ19−ζ23−ζ47+ζ79ζ19−ζ23−ζ47+ζ79−ζ19+ζ23+ζ47−ζ790000002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ10+2ζ38+2ζ46+2ζ74−ζ10−ζ38−ζ46−ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ7400ζ10+ζ38+ζ46+ζ74ζ11−ζ31+ζ59−ζ67−ζ11+ζ31−ζ59+ζ67−ζ11+ζ31−ζ59+ζ67ζ11−ζ31+ζ59−ζ67000000000000000000000000000000
χ11344-4-4-4-24-22224i−4i-2−2i−2i2i2i0000002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ622ζ22+2ζ34+2ζ50+2ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ622ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ83−ζ22−ζ34−ζ50−ζ62−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ83ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ830000002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ822ζ2+2ζ26+2ζ58+2ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ822ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ79−ζ2−ζ26−ζ58−ζ82−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ79ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ790000002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ742ζ10+2ζ38+2ζ46+2ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ742ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ67−ζ10−ζ38−ζ46−ζ74−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67000000000000000000000000000000
χ11444-4-4-4-24-2222−4i4i-22i2i−2i−2i0000002ζ22+2ζ34+2ζ50+2ζ622ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−ζ22−ζ34−ζ50−ζ622ζ22+2ζ34+2ζ50+2ζ62−ζ22−ζ34−ζ50−ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ83−ζ22−ζ34−ζ50−ζ62ζ43+ζ55+ζ71+ζ83ζ43+ζ55+ζ71+ζ83−ζ43−ζ55−ζ71−ζ83−ζ43−ζ55−ζ71−ζ830000002ζ2+2ζ26+2ζ58+2ζ822ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−ζ2−ζ26−ζ58−ζ822ζ2+2ζ26+2ζ58+2ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ79−ζ2−ζ26−ζ58−ζ82ζ19+ζ23+ζ47+ζ79ζ19+ζ23+ζ47+ζ79−ζ19−ζ23−ζ47−ζ79−ζ19−ζ23−ζ47−ζ790000002ζ10+2ζ38+2ζ46+2ζ742ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−ζ10−ζ38−ζ46−ζ742ζ10+2ζ38+2ζ46+2ζ74−ζ10−ζ38−ζ46−ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ67−ζ10−ζ38−ζ46−ζ74ζ11+ζ31+ζ59+ζ67ζ11+ζ31+ζ59+ζ67−ζ11−ζ31−ζ59−ζ67−ζ11−ζ31−ζ59−ζ67000000000000000000000000000000
χ1154-44i−4i040-44i−4i000000002+2i−2−2i2−2i−2+2i002ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ8302ζ22+2ζ34+2ζ50+2ζ620−2ζ22−2ζ34−2ζ50−2ζ622ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ8300000000ζ22+ζ34+ζ43+ζ50+ζ55+ζ62+ζ71+ζ83−ζ22−ζ34−ζ43−ζ50−ζ55−ζ62−ζ71−ζ83ζ22+ζ34−ζ43+ζ50−ζ55+ζ62−ζ71−ζ83−ζ22−ζ34+ζ43−ζ50+ζ55−ζ62+ζ71+ζ83002ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ7902ζ2+2ζ26+2ζ58+2ζ820−2ζ2−2ζ26−2ζ58−2ζ822ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ7900000000ζ2+ζ19+ζ23+ζ26+ζ47+ζ58+ζ79+ζ82−ζ2−ζ19−ζ23−ζ26−ζ47−ζ58−ζ79−ζ82ζ2−ζ19−ζ23+ζ26−ζ47+ζ58−ζ79+ζ82−ζ2+ζ19+ζ23−ζ26+ζ47−ζ58+ζ79−ζ82002ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ6702ζ10+2ζ38+2ζ46+2ζ740−2ζ10−2ζ38−2ζ46−2ζ742ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ6700000000ζ10+ζ11+ζ31+ζ38+ζ46+ζ59+ζ67+ζ74−ζ10−ζ11−ζ31−ζ38−ζ46−ζ59−ζ67−ζ74ζ10−ζ11−ζ31+ζ38+ζ46−ζ59−ζ67+ζ74−ζ10+ζ11+ζ31−ζ38−ζ46+ζ59+ζ67−ζ7400000000000000000000000000
χ1164-44i−4i040-44i−4i00000000−2−2i2+2i−2+2i2−2i002ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ622ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ8302ζ22+2ζ34+2ζ50+2ζ620−2ζ22−2ζ34−2ζ50−2ζ622ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ8300000000−ζ22−ζ34−ζ43−ζ50−ζ55−ζ62−ζ71−ζ83ζ22+ζ34+ζ43+ζ50+ζ55+ζ62+ζ71+ζ83−ζ22−ζ34+ζ43−ζ50+ζ55−ζ62+ζ71+ζ83ζ22+ζ34−ζ43+ζ50−ζ55+ζ62−ζ71−ζ83002ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ822ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ7902ζ2+2ζ26+2ζ58+2ζ820−2ζ2−2ζ26−2ζ58−2ζ822ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ7900000000−ζ2−ζ19−ζ23−ζ26−ζ47−ζ58−ζ79−ζ82ζ2+ζ19+ζ23+ζ26+ζ47+ζ58+ζ79+ζ82−ζ2+ζ19+ζ23−ζ26+ζ47−ζ58+ζ79−ζ82ζ2−ζ19−ζ23+ζ26−ζ47+ζ58−ζ79+ζ82002ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ742ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ6702ζ10+2ζ38+2ζ46+2ζ740−2ζ10−2ζ38−2ζ46−2ζ742ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ6700000000−ζ10−ζ11−ζ31−ζ38−ζ46−ζ59−ζ67−ζ74ζ10+ζ11+ζ31+ζ38+ζ46+ζ59+ζ67+ζ74−ζ10+ζ11+ζ31−ζ38−ζ46+ζ59+ζ67−ζ74ζ10−ζ11−ζ31+ζ38+ζ46−ζ59−ζ67+ζ7400000000000000000000000000
χ1174-4−4i4i040-4−4i4i000000002−2i−2+2i2+2i−2−2i002ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ8302ζ22+2ζ34+2ζ50+2ζ620−2ζ22−2ζ34−2ζ50−2ζ62−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ8300000000ζ22+ζ34−ζ43+ζ50−ζ55+ζ62−ζ71−ζ83−ζ22−ζ34+ζ43−ζ50+ζ55−ζ62+ζ71+ζ83ζ22+ζ34+ζ43+ζ50+ζ55+ζ62+ζ71+ζ83−ζ22−ζ34−ζ43−ζ50−ζ55−ζ62−ζ71−ζ83002ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ7902ζ2+2ζ26+2ζ58+2ζ820−2ζ2−2ζ26−2ζ58−2ζ82−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ7900000000ζ2−ζ19−ζ23+ζ26−ζ47+ζ58−ζ79+ζ82−ζ2+ζ19+ζ23−ζ26+ζ47−ζ58+ζ79−ζ82ζ2+ζ19+ζ23+ζ26+ζ47+ζ58+ζ79+ζ82−ζ2−ζ19−ζ23−ζ26−ζ47−ζ58−ζ79−ζ82002ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ6702ζ10+2ζ38+2ζ46+2ζ740−2ζ10−2ζ38−2ζ46−2ζ74−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ6700000000ζ10−ζ11−ζ31+ζ38+ζ46−ζ59−ζ67+ζ74−ζ10+ζ11+ζ31−ζ38−ζ46+ζ59+ζ67−ζ74ζ10+ζ11+ζ31+ζ38+ζ46+ζ59+ζ67+ζ74−ζ10−ζ11−ζ31−ζ38−ζ46−ζ59−ζ67−ζ7400000000000000000000000000
χ1184-4−4i4i040-4−4i4i00000000−2+2i2−2i−2−2i2+2i002ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ8302ζ22+2ζ34+2ζ50+2ζ620−2ζ22−2ζ34−2ζ50−2ζ62−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ8300000000−ζ22−ζ34+ζ43−ζ50+ζ55−ζ62+ζ71+ζ83ζ22+ζ34−ζ43+ζ50−ζ55+ζ62−ζ71−ζ83−ζ22−ζ34−ζ43−ζ50−ζ55−ζ62−ζ71−ζ83ζ22+ζ34+ζ43+ζ50+ζ55+ζ62+ζ71+ζ83002ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ7902ζ2+2ζ26+2ζ58+2ζ820−2ζ2−2ζ26−2ζ58−2ζ82−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ7900000000−ζ2+ζ19+ζ23−ζ26+ζ47−ζ58+ζ79−ζ82ζ2−ζ19−ζ23+ζ26−ζ47+ζ58−ζ79+ζ82−ζ2−ζ19−ζ23−ζ26−ζ47−ζ58−ζ79−ζ82ζ2+ζ19+ζ23+ζ26+ζ47+ζ58+ζ79+ζ82002ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ6702ζ10+2ζ38+2ζ46+2ζ740−2ζ10−2ζ38−2ζ46−2ζ74−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ6700000000−ζ10+ζ11+ζ31−ζ38−ζ46+ζ59+ζ67−ζ74ζ10−ζ11−ζ31+ζ38+ζ46−ζ59−ζ67+ζ74−ζ10−ζ11−ζ31−ζ38−ζ46−ζ59−ζ67−ζ74ζ10+ζ11+ζ31+ζ38+ζ46+ζ59+ζ67+ζ7400000000000000000000000000
χ1198-88i−8i0-404−4i4i000000000000004ζ22+4ζ34+4ζ50+4ζ62−4ζ22−4ζ34−4ζ50−4ζ624ζ43+4ζ55+4ζ71+4ζ83−4ζ43−4ζ55−4ζ71−4ζ830−2ζ22−2ζ34−2ζ50−2ζ6202ζ22+2ζ34+2ζ50+2ζ62−2ζ43−2ζ55−2ζ71−2ζ832ζ43+2ζ55+2ζ71+2ζ83000000000000004ζ2+4ζ26+4ζ58+4ζ82−4ζ2−4ζ26−4ζ58−4ζ824ζ19+4ζ23+4ζ47+4ζ79−4ζ19−4ζ23−4ζ47−4ζ790−2ζ2−2ζ26−2ζ58−2ζ8202ζ2+2ζ26+2ζ58+2ζ82−2ζ19−2ζ23−2ζ47−2ζ792ζ19+2ζ23+2ζ47+2ζ79000000000000004ζ10+4ζ38+4ζ46+4ζ74−4ζ10−4ζ38−4ζ46−4ζ744ζ11+4ζ31+4ζ59+4ζ67−4ζ11−4ζ31−4ζ59−4ζ670−2ζ10−2ζ38−2ζ46−2ζ7402ζ10+2ζ38+2ζ46+2ζ74−2ζ11−2ζ31−2ζ59−2ζ672ζ11+2ζ31+2ζ59+2ζ6700000000000000000000000000000000000000
χ1208-8−8i8i0-4044i−4i000000000000004ζ22+4ζ34+4ζ50+4ζ62−4ζ22−4ζ34−4ζ50−4ζ62−4ζ43−4ζ55−4ζ71−4ζ834ζ43+4ζ55+4ζ71+4ζ830−2ζ22−2ζ34−2ζ50−2ζ6202ζ22+2ζ34+2ζ50+2ζ622ζ43+2ζ55+2ζ71+2ζ83−2ζ43−2ζ55−2ζ71−2ζ83000000000000004ζ2+4ζ26+4ζ58+4ζ82−4ζ2−4ζ26−4ζ58−4ζ82−4ζ19−4ζ23−4ζ47−4ζ794ζ19+4ζ23+4ζ47+4ζ790−2ζ2−2ζ26−2ζ58−2ζ8202ζ2+2ζ26+2ζ58+2ζ822ζ19+2ζ23+2ζ47+2ζ79−2ζ19−2ζ23−2ζ47−2ζ79000000000000004ζ10+4ζ38+4ζ46+4ζ74−4ζ10−4ζ38−4ζ46−4ζ74−4ζ11−4ζ31−4ζ59−4ζ674ζ11+4ζ31+4ζ59+4ζ670−2ζ10−2ζ38−2ζ46−2ζ7402ζ10+2ζ38+2ζ46+2ζ742ζ11+2ζ31+2ζ59+2ζ67−2ζ11−2ζ31−2ζ59−2ζ6700000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.