Finite Group Databasebeta

← Group #13094708

Character table — Group #13094708

Order 1512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112266677771212141414141414141414141414141818424242424211226667777121214141414141414141414141414181842424242421122666777712121414141414141414141414141418184242424242
order1236471433662142233666666666628282661212363612214233662142633666666666684846661212363612214233662142633666666666684846661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-111-1-1-1-111-1-1-1-111-1-1-1111111111111111-111-1-1-1-111-1-1-1-111-1-1-1111111111111111-111-1-1-1-111-1-1-1-111-1-1-111
χ31111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ41111111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i3211-11+i321−i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i3211-11+i321−i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i3211-11+i321−i32−1−i32−1+i32
χ51111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ61111111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i3211-11−i321+i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i3211-11−i321+i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i3211-11−i321+i32−1+i32−1−i32
χ71111-1111111111111111111111-1-1-1-1-1-1-11111-1111111111111111111111-1-1-1-1-1-1-11111-1111111111111111111111-1-1-1-1-1-1-1
χ81111-111111111-111-1-1-1-111-1-1-1-1-1-1111-1-11111-111111111-111-1-1-1-111-1-1-1-1-1-1111-1-11111-111111111-111-1-1-1-111-1-1-1-1-1-1111-1-1
χ91111-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i321+i321−i321111-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i321+i321−i321111-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i321+i321−i32
χ101111-111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-11−1−i32−1+i321+i321−i321111-111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-11−1−i32−1+i321+i321−i321111-111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-11−1−i32−1+i321+i321−i32
χ111111-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321+i321−i321+i321111-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321+i321−i321+i321111-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321+i321−i321+i32
χ121111-111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-11−1+i32−1−i321−i321+i321111-111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-11−1+i32−1−i321−i321+i321111-111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-11−1+i32−1−i321−i321+i32
χ1322-1-10222222-1-12-1-1-1-122-1-1-1-1-1-1000000022-1-10222222-1-12-1-1-1-122-1-1-1-1-1-1000000022-1-10222222-1-12-1-1-1-122-1-1-1-1-1-10000000
χ1422-1-10222222-1-1-2-1-111-2-2-1-11111000000022-1-10222222-1-1-2-1-111-2-2-1-11111000000022-1-10222222-1-1-2-1-111-2-2-1-111110000000
χ1522-1-1022−1−i3−1+i3−1−i3−1+i3-1-121+i321−i32-1-1−1−i3−1+i31+i321−i321+i321+i321−i321−i32000000022-1-1022−1−i3−1+i3−1−i3−1+i3-1-121+i321−i32-1-1−1−i3−1+i31+i321−i321+i321+i321−i321−i32000000022-1-1022−1−i3−1+i3−1−i3−1+i3-1-121+i321−i32-1-1−1−i3−1+i31+i321−i321+i321+i321−i321−i320000000
χ1622-1-1022−1−i3−1+i3−1−i3−1+i3-1-1-21+i321−i32111+i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i32000000022-1-1022−1−i3−1+i3−1−i3−1+i3-1-1-21+i321−i32111+i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i32000000022-1-1022−1−i3−1+i3−1−i3−1+i3-1-1-21+i321−i32111+i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i320000000
χ1722-1-1022−1+i3−1−i3−1+i3−1−i3-1-121−i321+i32-1-1−1+i3−1−i31−i321+i321−i321−i321+i321+i32000000022-1-1022−1+i3−1−i3−1+i3−1−i3-1-121−i321+i32-1-1−1+i3−1−i31−i321+i321−i321−i321+i321+i32000000022-1-1022−1+i3−1−i3−1+i3−1−i3-1-121−i321+i32-1-1−1+i3−1−i31−i321+i321−i321−i321+i321+i320000000
χ1822-1-1022−1+i3−1−i3−1+i3−1−i3-1-1-21−i321+i32111−i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i32000000022-1-1022−1+i3−1−i3−1+i3−1−i3-1-1-21−i321+i32111−i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i32000000022-1-1022−1+i3−1−i3−1+i3−1−i3-1-1-21−i321+i32111−i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i320000000
χ192-22-202-222-2-22-20220000-2-2000000000002-22-202-222-2-22-20220000-2-2000000000002-22-202-222-2-22-20220000-2-200000000000
χ202-22-202-2−1−i3−1+i31+i31−i32-20−1−i3−1+i300001+i31−i3000000000002-22-202-2−1−i3−1+i31+i31−i32-20−1−i3−1+i300001+i31−i3000000000002-22-202-2−1−i3−1+i31+i31−i32-20−1−i3−1+i300001+i31−i300000000000
χ212-22-202-2−1+i3−1−i31−i31+i32-20−1+i3−1−i300001−i31+i3000000000002-22-202-2−1+i3−1−i31−i31+i32-20−1+i3−1−i300001−i31+i3000000000002-22-202-2−1+i3−1−i31−i31+i32-20−1+i3−1−i300001−i31+i300000000000
χ222-2-1102-222-2-2-110-1-1−i3i30011−i3i3−i3i300000002-2-1102-222-2-2-110-1-1−i3i30011−i3i3−i3i300000002-2-1102-222-2-2-110-1-1−i3i30011−i3i3−i3i30000000
χ232-2-1102-222-2-2-110-1-1i3−i30011i3−i3i3−i300000002-2-1102-222-2-2-110-1-1i3−i30011i3−i3i3−i300000002-2-1102-222-2-2-110-1-1i3−i30011i3−i3i3−i30000000
χ242-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32−i3i300−1−i32−1+i32−3+i323−i323+i32−3−i3200000002-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32−i3i300−1−i32−1+i32−3+i323−i323+i32−3−i3200000002-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32−i3i300−1−i32−1+i32−3+i323−i323+i32−3−i320000000
χ252-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32i3−i300−1−i32−1+i323−i32−3+i32−3−i323+i3200000002-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32i3−i300−1−i32−1+i323−i32−3+i32−3−i323+i3200000002-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32i3−i300−1−i32−1+i323−i32−3+i32−3−i323+i320000000
χ262-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32−i3i300−1+i32−1−i323+i32−3−i32−3+i323−i3200000002-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32−i3i300−1+i32−1−i323+i32−3−i32−3+i323−i3200000002-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32−i3i300−1+i32−1−i323+i32−3−i32−3+i323−i320000000
χ272-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32i3−i300−1+i32−1−i32−3−i323+i323−i32−3+i3200000002-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32i3−i300−1+i32−1−i32−3−i323+i323−i32−3+i3200000002-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32i3−i300−1+i32−1−i32−3−i323+i323−i32−3+i320000000
χ2866666-1-10000-1-10000000000000-1-10000066666-1-10000-1-10000000000000-1-10000066666-1-10000-1-10000000000000-1-100000
χ296666-6-1-10000-1-1000000000000011000006666-6-1-10000-1-1000000000000011000006666-6-1-10000-1-100000000000001100000
χ306-66-60-110000-1100000000000007−7000006-66-60-110000-1100000000000007−7000006-66-60-110000-1100000000000007−700000
χ316-66-60-110000-110000000000000−77000006-66-60-110000-110000000000000−77000006-66-60-110000-110000000000000−7700000
χ321212-6-60-2-2000011000000000000000000001212-6-60-2-2000011000000000000000000001212-6-60-2-200001100000000000000000000
χ3312-12-660-2200001-10000000000000000000012-12-660-2200001-10000000000000000000012-12-660-2200001-100000000000000000000
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
χ351111111111111-111-1-1-1-111-1-1-1-111-1-1-111−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ361111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32−1+i32−1+i32−1+i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1+i321
χ371111111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i3211-11+i321−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−1−i321−i321−i32-11+i321−1−i32-1-11+i321+i32−1+i32−1+i321−i32-11+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i321+i32−1+i3211+i321+i321−i32-1−1+i3211−i321−i32-1-1−1−i32−1−i321+i321−i32-1−1+i321
χ381111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32−1−i32−1−i32−1−i321−1+i321−1+i32
χ391111111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i3211-11−i321+i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i321−i32−1−i3211−i321−i321+i32-1−1−i3211+i321+i32-1-1−1+i32−1+i321−i321+i32-1−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321−1+i321+i321+i32-11−i321−1+i32-1-11−i321−i32−1−i32−1−i321+i32-11−i321−1+i32
χ401111-1111111111111111111111-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32
χ411111-111111111-111-1-1-1-111-1-1-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
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χ431111-111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-11−1−i32−1+i321+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−1−i321−i321−i32-11+i321−1−i32-1-11+i321+i321−i321−i32−1+i321−1−i32-11+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i321+i32−1+i3211+i321+i321−i32-1−1+i3211−i321−i32-1-11+i321+i32−1−i32−1+i3211−i32-1
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χ451111-111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-11−1+i32−1−i321−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i321−i32−1−i3211−i321−i321+i32-1−1−i3211+i321+i32-1-11−i321−i32−1+i32−1−i3211+i32-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321−1+i321+i321+i32-11−i321−1+i32-1-11−i321−i321+i321+i32−1−i321−1+i32-11−i32
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χ4722-1-10222222-1-1-2-1-111-2-2-1-111110000000−1+i3−1+i31−i321−i320−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i31−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000000−1−i3−1−i31+i321+i320−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i31+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000000
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χ721111111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i3211-11−i321+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321−1+i321+i321+i32-11−i321−1+i32-1-11−i321−i32−1−i32−1−i321+i32-11−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i321−i32−1−i3211−i321−i321+i32-1−1−i3211+i321+i32-1-1−1+i32−1+i321−i321+i32-1−1−i321
χ731111-1111111111111111111111-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32
χ741111-111111111-111-1-1-1-111-1-1-1-1-1-1111-1-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ751111-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1+i32−1+i32111+i321+i321+i321−i32-11−i32-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i321−i321−i321−i32-11+i32-11+i32
χ761111-111−1−i32−1+i32−1−i32−1+i3211-1−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-11−1−i32−1+i321+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i321+i32−1+i3211+i321+i321−i32-1−1+i3211−i321−i32-1-11+i321+i32−1−i32−1+i3211−i32-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−1−i321−1−i32−1+i32−1+i321−i321−1−i321−i321−i32-11+i321−1−i32-1-11+i321+i321−i321−i32−1+i321−1−i32-11+i32
χ771111-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321+i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i321+i321+i321+i32-11−i32-11−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1−i32−1−i32111−i321−i321−i321+i32-11+i32-1
χ781111-111−1+i32−1−i32−1+i32−1−i3211-1−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-11−1+i32−1−i321−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i321+i321−1+i321+i321+i32-11−i321−1+i32-1-11−i321−i321+i321+i32−1−i321−1+i32-11−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i321−i32−1−i3211−i321−i321+i32-1−1−i3211+i321+i32-1-11−i321−i32−1+i32−1−i3211+i32-1
χ7922-1-10222222-1-12-1-1-1-122-1-1-1-1-1-10000000−1−i3−1−i31+i321+i320−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000000−1+i3−1+i31−i321−i320−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000000
χ8022-1-10222222-1-1-2-1-111-2-2-1-111110000000−1−i3−1−i31+i321+i320−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i31+i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000000−1+i3−1+i31−i321−i320−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i31−i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000000
χ8122-1-1022−1−i3−1+i3−1−i3−1+i3-1-121+i321−i32-1-1−1−i3−1+i31+i321−i321+i321+i321−i321−i320000000−1−i3−1−i31+i321+i320−1−i3−1−i3−1+i32−1+i321+i321+i32−1−i31−i32-11+i321+i32−1+i321−i32-11−i321−i32-1-10000000−1+i3−1+i31−i321−i320−1+i3−1+i32−1−i32−1−i31−i321−i32−1+i3-11+i321−i321−i322−1−i3-11+i32-1-11+i321+i320000000
χ8222-1-1022−1−i3−1+i3−1−i3−1+i3-1-1-21+i321−i32111+i31−i31+i321−i32−1−i32−1−i32−1+i32−1+i320000000−1−i3−1−i31+i321+i320−1−i3−1−i3−1+i32−1+i321+i321+i321+i31−i32-1−1−i32−1−i321−i3-21−i32-1−1+i32−1+i32110000000−1+i3−1+i31−i321−i320−1+i3−1+i32−1−i32−1−i31−i321−i321−i3-11+i32−1+i32−1+i32-21+i3-11+i3211−1−i32−1−i320000000
χ8322-1-1022−1+i3−1−i3−1+i3−1−i3-1-121−i321+i32-1-1−1+i3−1−i31−i321+i321−i321−i321+i321+i320000000−1−i3−1−i31+i321+i320−1−i3−1−i32−1+i32−1+i31+i321+i32−1−i3-11−i321+i321+i322−1+i3-11−i32-1-11−i321−i320000000−1+i3−1+i31−i321−i320−1+i3−1+i3−1−i32−1−i321−i321−i32−1+i31+i32-11−i321−i32−1−i321+i32-11+i321+i32-1-10000000
χ8422-1-1022−1+i3−1−i3−1+i3−1−i3-1-1-21−i321+i32111−i31+i31−i321+i32−1+i32−1+i32−1−i32−1−i320000000−1−i3−1−i31+i321+i320−1−i3−1−i32−1+i32−1+i31+i321+i321+i3-11−i32−1−i32−1−i32-21−i3-11−i3211−1+i32−1+i320000000−1+i3−1+i31−i321−i320−1+i3−1+i3−1−i32−1−i321−i321−i321−i31+i32-1−1+i32−1+i321+i3-21+i32-1−1−i32−1−i32110000000
χ852-22-202-222-2-22-20220000-2-200000000000−1−i31+i3−1−i31+i30−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i30−1−i3−1−i300001+i31+i300000000000−1+i31−i3−1+i31−i30−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i30−1+i3−1+i300001−i31−i300000000000
χ862-22-202-2−1−i3−1+i31+i31−i32-20−1−i3−1+i300001+i31−i300000000000−1−i31+i3−1−i31+i30−1−i31+i3−1+i321−i3-2−1−i31+i30−1+i3200001−i3-200000000000−1+i31−i3−1+i31−i30−1+i31−i32−1−i3-21+i3−1+i31−i302−1−i30000-21+i300000000000
χ872-22-202-2−1+i3−1−i31−i31+i32-20−1+i3−1−i300001−i31+i300000000000−1−i31+i3−1−i31+i30−1−i31+i32−1+i3-21−i3−1−i31+i302−1+i30000-21−i300000000000−1+i31−i3−1+i31−i30−1+i31−i3−1−i321+i3-2−1+i31−i30−1−i3200001+i3-200000000000
χ882-2-1102-222-2-2-110-1-1−i3i30011−i3i3−i3i30000000−1−i31+i31+i32−1−i320−1−i31+i3−1−i3−1−i31+i31+i31+i32−1−i3201+i321+i32−3+i323−i3200−1−i32−1−i32−3+i323−i32−3+i323−i320000000−1+i31−i31−i32−1+i320−1+i31−i3−1+i3−1+i31−i31−i31−i32−1+i3201−i321−i323+i32−3−i3200−1+i32−1+i323+i32−3−i323+i32−3−i320000000
χ892-2-1102-222-2-2-110-1-1i3−i30011i3−i3i3−i30000000−1−i31+i31+i32−1−i320−1−i31+i3−1−i3−1−i31+i31+i31+i32−1−i3201+i321+i323−i32−3+i3200−1−i32−1−i323−i32−3+i323−i32−3+i320000000−1+i31−i31−i32−1+i320−1+i31−i3−1+i3−1+i31−i31−i31−i32−1+i3201−i321−i32−3−i323+i3200−1+i32−1+i32−3−i323+i32−3−i323+i320000000
χ902-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32−i3i300−1−i32−1+i32−3+i323−i323+i32−3−i320000000−1−i31+i31+i32−1−i320−1−i31+i3−1+i321−i3-21+i32−1−i3201−i32-1−3+i323−i3200−1+i3213+i32−3−i32−i3i30000000−1+i31−i31−i32−1+i320−1+i31−i32−1−i3-21+i31−i32−1+i320-11+i323+i32−3−i32001−1−i32−i3i3−3+i323−i320000000
χ912-2-1102-2−1−i3−1+i31+i31−i3-1101+i321−i32i3−i300−1−i32−1+i323−i32−3+i32−3−i323+i320000000−1−i31+i31+i32−1−i320−1−i31+i3−1+i321−i3-21+i32−1−i3201−i32-13−i32−3+i3200−1+i321−3−i323+i32i3−i30000000−1+i31−i31−i32−1+i320−1+i31−i32−1−i3-21+i31−i32−1+i320-11+i32−3−i323+i32001−1−i32i3−i33−i32−3+i320000000
χ922-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32−i3i300−1+i32−1−i323+i32−3−i32−3+i323−i320000000−1−i31+i31+i32−1−i320−1−i31+i32−1+i3-21−i31+i32−1−i320-11−i32−3+i323−i32001−1+i32−i3i33+i32−3−i320000000−1+i31−i31−i32−1+i320−1+i31−i3−1−i321+i3-21−i32−1+i3201+i32-13+i32−3−i3200−1−i321−3+i323−i32−i3i30000000
χ932-2-1102-2−1+i3−1−i31−i31+i3-1101−i321+i32i3−i300−1+i32−1−i32−3−i323+i323−i32−3+i320000000−1−i31+i31+i32−1−i320−1−i31+i32−1+i3-21−i31+i32−1−i320-11−i323−i32−3+i32001−1+i32i3−i3−3−i323+i320000000−1+i31−i31−i32−1+i320−1+i31−i3−1−i321+i3-21−i32−1+i3201+i32-1−3−i323+i3200−1−i3213−i32−3+i32i3−i30000000
χ9466666-1-10000-1-10000000000000-1-100000−3−3i3−3−3i3−3−3i3−3−3i3−3−3i31+i321+i3200001+i321+i3200000000000001+i321+i3200000−3+3i3−3+3i3−3+3i3−3+3i3−3+3i31−i321−i3200001−i321−i3200000000000001−i321−i3200000
χ956666-6-1-10000-1-100000000000001100000−3−3i3−3−3i3−3−3i3−3−3i33+3i31+i321+i3200001+i321+i320000000000000−1−i32−1−i3200000−3+3i3−3+3i3−3+3i3−3+3i33−3i31−i321−i3200001−i321−i320000000000000−1+i32−1+i3200000
χ966-66-60-110000-1100000000000007−700000−3−3i33+3i3−3−3i33+3i301+i32−1−i3200001+i32−1−i320000000000000−ζ11−ζ23+ζ47+ζ59−ζ71+ζ83ζ11+ζ23−ζ47−ζ59+ζ71−ζ8300000−3+3i33−3i3−3+3i33−3i301−i32−1+i3200001−i32−1+i320000000000000ζ19+ζ31−ζ43+ζ55−ζ67−ζ79−ζ19−ζ31+ζ43−ζ55+ζ67+ζ7900000
χ976-66-60-110000-110000000000000−7700000−3−3i33+3i3−3−3i33+3i301+i32−1−i3200001+i32−1−i320000000000000ζ11+ζ23−ζ47−ζ59+ζ71−ζ83−ζ11−ζ23+ζ47+ζ59−ζ71+ζ8300000−3+3i33−3i3−3+3i33−3i301−i32−1+i3200001−i32−1+i320000000000000−ζ19−ζ31+ζ43−ζ55+ζ67+ζ79ζ19+ζ31−ζ43+ζ55−ζ67−ζ7900000
χ981212-6-60-2-200001100000000000000000000−6−6i3−6−6i33+3i33+3i301+i31+i30000−1−i32−1−i3200000000000000000000−6+6i3−6+6i33−3i33−3i301−i31−i30000−1+i32−1+i3200000000000000000000
χ9912-12-660-2200001-100000000000000000000−6−6i36+6i33+3i3−3−3i301+i3−1−i30000−1−i321+i3200000000000000000000−6+6i36−6i33−3i3−3+3i301−i3−1+i30000−1+i321−i3200000000000000000000

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