Finite Group Databasebeta

← Group #11921407

Character table — Group #11921407

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222224446666888888121212121616161616161616161818363636363636361122222444666688888812121212161616161616161616181836363636363636
order12344461212122224999181818666123636363636363636368824448882264446121212222418181818181866612363636363636363636882444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-11111-1-11-1-11111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-11111-1-11-1-1
χ41111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-111
χ5111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1111-11-1-11-1111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1111-11-1-11-1
χ6111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-1-11-111-11111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-1-11-111-11
χ7111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111111-1-11-1-11111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111111-1-11-1-11
χ8111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-1-111-111-1111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-1-111-111-1
χ922222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000
χ102222-2-222-2-22-2-22-1-1-1-1-1-12-2-22-1-1-11111110000000002222-2-222-2-22-2-22-1-1-1-1-1-12-2-22-1-1-1111111000000000
χ11222-22-22-22-2-22-22-1-1-1-1-1-1-22-22111-1-1-1111000000000222-22-22-22-2-22-22-1-1-1-1-1-1-22-22111-1-1-1111000000000
χ12222-2-222-2-22-2-222-1-1-1-1-1-1-2-222111111-1-1-1000000000222-2-222-2-22-2-222-1-1-1-1-1-1-2-222111111-1-1-1000000000
χ1322-1222-1-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000022-1222-1-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000
χ1422-1222-1-1-1-12222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000022-1222-1-1-1-12222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000
χ1522-1222-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000022-1222-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000
χ1622-12-2-2-1-1112-2-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-111-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000022-12-2-2-1-1112-2-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-111-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000
χ1722-12-2-2-1-1112-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-111-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000022-12-2-2-1-1112-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-111-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000
χ1822-12-2-2-1-1112-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-111-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000022-12-2-2-1-1112-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-111-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000
χ1922-1-22-2-11-11-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000022-1-22-2-11-11-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000
χ2022-1-22-2-11-11-22-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000022-1-22-2-11-11-22-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000
χ2122-1-22-2-11-11-22-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000022-1-22-2-11-11-22-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000
χ2222-1-2-22-111-1-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000022-1-2-22-111-1-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000
χ2322-1-2-22-111-1-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000022-1-2-22-111-1-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000
χ2422-1-2-22-111-1-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5211-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000022-1-2-22-111-1-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5211-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000
χ253333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111
χ263333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1
χ273333-3-333-3-3-111-1000000-111-100000000011-1-1111-1-13333-3-333-3-3-111-1000000-111-100000000011-1-1111-1-1
χ283333-3-333-3-3-111-1000000-111-1000000000-1-111-1-1-1113333-3-333-3-3-111-1000000-111-1000000000-1-111-1-1-111
χ29333-33-33-33-31-11-10000001-11-100000000011-11-11-11-1333-33-33-33-31-11-10000001-11-100000000011-11-11-11-1
χ30333-33-33-33-31-11-10000001-11-1000000000-1-11-11-11-11333-33-33-33-31-11-10000001-11-1000000000-1-11-11-11-11
χ31333-3-333-3-3311-1-100000011-1-100000000011-111-1-1-11333-3-333-3-3311-1-100000011-1-100000000011-111-1-1-11
χ32333-3-333-3-3311-1-100000011-1-1000000000-1-11-1-1111-1333-3-333-3-3311-1-100000011-1-1000000000-1-11-1-1111-1
χ334-44000-40000000-2-2-22220000000000000−2i22i200000004-44000-40000000-2-2-22220000000000000−2i22i20000000
χ344-44000-40000000-2-2-222200000000000002i2−2i200000004-44000-40000000-2-2-222200000000000002i2−2i20000000
χ3566-3666-3-3-3-3-2-2-2-2000000111100000000000000000066-3666-3-3-3-3-2-2-2-20000001111000000000000000000
χ3666-36-6-6-3-333-222-20000001-1-1100000000000000000066-36-6-6-3-333-222-20000001-1-11000000000000000000
χ3766-3-66-6-33-332-22-2000000-11-1100000000000000000066-3-66-6-33-332-22-2000000-11-11000000000000000000
χ3866-3-6-66-333-322-2-2000000-1-11100000000000000000066-3-6-66-333-322-2-2000000-1-111000000000000000000
χ398-88000-80000000222-2-2-200000000000000000000008-88000-80000000222-2-2-20000000000000000000000
χ408-8-400040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800000000000000000000008-8-400040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000
χ418-8-4000400000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5200000000000000000000008-8-4000400000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000000000000
χ428-8-400040000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800000000000000000000008-8-400040000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ451111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-11111-1-11-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-111
χ461111-1-111-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-1
χ47111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1111-11-1-11-1-1-1-11-11-11-111-11-1-1-1-1-1-1-11-11-1111-1-1-1111-1-1-11-111-11
χ48111-11-11-11-1-11-11111111-11-11-1-1-1111-1-1-1-1-1-11-111-11-1-1-11-11-11-111-11-1-1-1-1-1-1-11-11-1111-1-1-1111111-11-1-11-1
χ49111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111111-1-11-1-11-1-1-111-1-111-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-111-1
χ50111-1-111-1-11-1-111111111-1-111-1-1-1-1-1-1111-1-1-111-111-1-1-1-111-1-111-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1111-1-11-1-11
χ5122222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111111000000000
χ522222-2-222-2-22-2-22-1-1-1-1-1-12-2-22-1-1-1111111000000000-2-2-2-222-2-222-222-2111111-222-2111-1-1-1-1-1-1000000000
χ53222-22-22-22-2-22-22-1-1-1-1-1-1-22-22111-1-1-1111000000000-2-2-22-22-22-222-22-21111112-22-2-1-1-1111-1-1-1000000000
χ54222-2-222-2-22-2-222-1-1-1-1-1-1-2-222111111-1-1-1000000000-2-2-222-2-222-222-2-211111122-2-2-1-1-1-1-1-1111000000000
χ5522-1222-1-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000-2-21-2-2-21111-2-2-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000
χ5622-1222-1-1-1-12222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000-2-21-2-2-21111-2-2-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ681111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000
χ5722-1222-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000-2-21-2-2-21111-2-2-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ521111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000
χ5822-12-2-2-1-1112-2-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-111-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000-2-21-22211-1-1-222-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681-1-11−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000
χ5922-12-2-2-1-1112-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-111-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000-2-21-22211-1-1-222-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ681-1-11−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000
χ6022-12-2-2-1-1112-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-111-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000-2-21-22211-1-1-222-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ521-1-11ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000
χ6122-1-22-2-11-11-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000-2-212-221-11-12-22-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-11-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000
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χ6422-1-2-22-111-1-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6811-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000-2-2122-21-1-1122-2-2−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68-1-111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000
χ6522-1-2-22-111-1-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6811-1-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000-2-2122-21-1-1122-2-2−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68-1-111ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000
χ6622-1-2-22-111-1-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5211-1-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000-2-2122-21-1-1122-2-2ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52-1-111−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000
χ673333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111-3-3-3-3-3-3-3-3-3-311110000001111000000000-1-11111-1-1-1
χ683333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1-3-3-3-3-3-3-3-3-3-31111000000111100000000011-1-1-1-1111
χ693333-3-333-3-3-111-1000000-111-100000000011-1-1111-1-1-3-3-3-333-3-3331-1-110000001-1-11000000000-1-111-1-1-111
χ703333-3-333-3-3-111-1000000-111-1000000000-1-111-1-1-111-3-3-3-333-3-3331-1-110000001-1-1100000000011-1-1111-1-1
χ71333-33-33-33-31-11-10000001-11-100000000011-11-11-11-1-3-3-33-33-33-33-11-11000000-11-11000000000-1-11-11-11-11
χ72333-33-33-33-31-11-10000001-11-1000000000-1-11-11-11-11-3-3-33-33-33-33-11-11000000-11-1100000000011-11-11-11-1
χ73333-3-333-3-3311-1-100000011-1-100000000011-111-1-1-11-3-3-333-3-333-3-1-111000000-1-111000000000-1-11-1-1111-1
χ74333-3-333-3-3311-1-100000011-1-1000000000-1-11-1-1111-1-3-3-333-3-333-3-1-111000000-1-11100000000011-111-1-1-11
χ754-44000-40000000-2-2-22220000000000000−2i22i20000000-44-400040000000222-2-2-200000000000002i2−2i20000000
χ764-44000-40000000-2-2-222200000000000002i2−2i20000000-44-400040000000222-2-2-20000000000000−2i22i20000000
χ7766-3666-3-3-3-3-2-2-2-20000001111000000000000000000-6-63-6-6-633332222000000-1-1-1-1000000000000000000
χ7866-36-6-6-3-333-222-20000001-1-11000000000000000000-6-63-66633-3-32-2-22000000-111-1000000000000000000
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χ818-88000-80000000222-2-2-20000000000000000000000-88-800080000000-2-2-22220000000000000000000000
χ828-8-400040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000-884000-400000002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ680000000000000000000000
χ838-8-4000400000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000000000000-884000-40000000−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520000000000000000000000
χ848-8-400040000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000-884000-400000002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ680000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.