Finite Group Databasebeta

← Group #481460

Character table — Group #481460

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222224444444444488881616111122222222444444444448888161611112222222244444444444888816161111222222224444444444488881616
order1222224488884881616161616161616444444222222448888488161616161616161644444422222244888848816161616161616164444442222224488884881616161616161616444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111-1-1-1-1-111iiii−i−i−i−iii−i−i1-11111-1-111-1-1-1-1-111iiii−i−i−i−iii−i−i1-11111-1-111-1-1-1-1-111iiii−i−i−i−iii−i−i1-11111-1-111-1-1-1-1-111iiii−i−i−i−iii−i−i1-1
χ61111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-111111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-111111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-111111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-11
χ71111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-111111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-111111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-111111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-11
χ81111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-11111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-11111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-11111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-1
χ922222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-20000000000000022222222-2-2-2-22-2-200000000000000
χ10222222-2-20000-20022−2−222−2−2000000222222-2-20000-20022−2−222−2−2000000222222-2-20000-20022−2−222−2−2000000222222-2-20000-20022−2−222−2−2000000
χ11222222-2-20000-200−2−222−2−222000000222222-2-20000-200−2−222−2−222000000222222-2-20000-200−2−222−2−222000000222222-2-20000-200−2−222−2−222000000
χ122222-2-2222222-2-2-2000000000000002222-2-2222222-2-2-2000000000000002222-2-2222222-2-2-2000000000000002222-2-2222222-2-2-200000000000000
χ132222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i20000002222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i20000002222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i20000002222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i2000000
χ142222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i20000002222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i20000002222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i20000002222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000
χ1522-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ1622-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ1722-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ1822-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ1922-2-2-220022−2−20−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000022-2-2-220022−2−20−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000022-2-2-220022−2−20−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000022-2-2-220022−2−20−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000
χ2022-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000022-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000022-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000022-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ2122-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000022-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000022-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000022-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000
χ2222-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000022-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000022-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000022-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000
χ232-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i002-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i002-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i002-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i00
χ242-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i002-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i002-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i002-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i00
χ252-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i002-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i002-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i002-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i00
χ262-2-22002-2−2i2i−2i2i00000000000−1−i1+i−1+i1−i002-2-22002-2−2i2i−2i2i00000000000−1−i1+i−1+i1−i002-2-22002-2−2i2i−2i2i00000000000−1−i1+i−1+i1−i002-2-22002-2−2i2i−2i2i00000000000−1−i1+i−1+i1−i00
χ274-44-400002i2−2i2−2i22i2000000000000000004-44-400002i2−2i2−2i22i2000000000000000004-44-400002i2−2i2−2i22i2000000000000000004-44-400002i2−2i2−2i22i200000000000000000
χ284-44-40000−2i22i22i2−2i2000000000000000004-44-40000−2i22i22i2−2i2000000000000000004-44-40000−2i22i22i2−2i2000000000000000004-44-40000−2i22i22i2−2i200000000000000000
χ294-4-4400-440000000000000000000004-4-4400-440000000000000000000004-4-4400-440000000000000000000004-4-4400-44000000000000000000000
χ3011111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ32111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ33111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ341111-1-111-1-1-1-1-111iiii−i−i−i−iii−i−i1-1-1-1-1-111-1-111111-1-1−i−i−i−iiiii−i−iii-111111-1-111-1-1-1-1-111iiii−i−i−i−iii−i−i1-1-1-1-1-111-1-111111-1-1−i−i−i−iiiii−i−iii-11
χ351111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-11-1-1-1-111-1-111111-1-1−i−i−i−iiiiiii−i−i1-11111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-11-1-1-1-111-1-111111-1-1−i−i−i−iiiiiii−i−i1-1
χ361111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-11-1-1-1-111-1-111111-1-1iiii−i−i−i−i−i−iii1-11111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-11-1-1-1-111-1-111111-1-1iiii−i−i−i−i−i−iii1-1
χ371111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-1-1-1-1-111-1-111111-1-1iiii−i−i−i−iii−i−i-111111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-1-1-1-1-111-1-111111-1-1iiii−i−i−i−iii−i−i-11
χ3822222222-2-2-2-22-2-200000000000000-2-2-2-2-2-2-2-22222-2220000000000000022222222-2-2-2-22-2-200000000000000-2-2-2-2-2-2-2-22222-22200000000000000
χ39222222-2-20000-20022−2−222−2−2000000-2-2-2-2-2-2220000200−2−222−2−222000000222222-2-20000-20022−2−222−2−2000000-2-2-2-2-2-2220000200−2−222−2−222000000
χ40222222-2-20000-200−2−222−2−222000000-2-2-2-2-2-222000020022−2−222−2−2000000222222-2-20000-200−2−222−2−222000000-2-2-2-2-2-222000020022−2−222−2−2000000
χ412222-2-2222222-2-2-200000000000000-2-2-2-222-2-2-2-2-2-2222000000000000002222-2-2222222-2-2-200000000000000-2-2-2-222-2-2-2-2-2-222200000000000000
χ422222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i2000000-2-2-2-222220000-200−i2−i2i2i2i2i2−i2−i20000002222-2-2-2-20000200i2i2−i2−i2−i2−i2i2i2000000-2-2-2-222220000-200−i2−i2i2i2i2i2−i2−i2000000
χ432222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000-2-2-2-222220000-200i2i2−i2−i2−i2−i2i2i20000002222-2-2-2-20000200−i2−i2i2i2i2i2−i2−i2000000-2-2-2-222220000-200i2i2−i2−i2−i2−i2i2i2000000
χ4422-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000-2-222-2200−2−2220−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000022-2-22-20022−2−202−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000-2-222-2200−2−2220−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ4522-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000-2-222-2200−2−2220−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000022-2-22-20022−2−202−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000-2-222-2200−2−2220−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ4622-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000-2-222-220022−2−202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000022-2-22-200−2−2220−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000-2-222-220022−2−202−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ4722-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000-2-222-220022−2−202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000022-2-22-200−2−2220−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000-2-222-220022−2−202−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ4822-2-2-220022−2−20−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000-2-2222-200−2−22202−2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000022-2-2-220022−2−20−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000-2-2222-200−2−22202−2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ4922-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000-2-2222-200−2−22202−2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000022-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000-2-2222-200−2−22202−2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000
χ5022-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000-2-2222-20022−2−20−22−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000022-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000-2-2222-20022−2−20−22−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000
χ5122-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000-2-2222-20022−2−20−22ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000022-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000-2-2222-20022−2−20−22ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000
χ522-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i00-222-200-22−2i2i−2i2i00000000000−1+i1−i−1−i1+i002-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i00-222-200-22−2i2i−2i2i00000000000−1+i1−i−1−i1+i00
χ532-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i00-222-200-22−2i2i−2i2i000000000001−i−1+i1+i−1−i002-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i00-222-200-22−2i2i−2i2i000000000001−i−1+i1+i−1−i00
χ542-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i00-222-200-222i−2i2i−2i00000000000−1−i1+i−1+i1−i002-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i00-222-200-222i−2i2i−2i00000000000−1−i1+i−1+i1−i00
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χ6011111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ61111111111111111-1-1-1-1-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ62111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
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χ641111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-111111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-11-1-1-1-111-1-111111-1-1−i−i−i−iiiiiii−i−i1-1-1-1-1-111-1-111111-1-1−i−i−i−iiiiiii−i−i1-1
χ651111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-111111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-11-1-1-1-111-1-111111-1-1iiii−i−i−i−i−i−iii1-1-1-1-1-111-1-111111-1-1iiii−i−i−i−i−i−iii1-1
χ661111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-11111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-1-1-1-1-111-1-111111-1-1iiii−i−i−i−iii−i−i-11-1-1-1-111-1-111111-1-1iiii−i−i−i−iii−i−i-11
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χ8811111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111
χ8911111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1
χ90111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
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χ931111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-11-1-1-1-111-1-111111-1-1−i−i−i−iiiiiii−i−i1-1-1-1-1-111-1-111111-1-1−i−i−i−iiiiiii−i−i1-11111-1-111-1-1-1-1-111iiii−i−i−i−i−i−iii-11
χ941111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-11-1-1-1-111-1-111111-1-1iiii−i−i−i−i−i−iii1-1-1-1-1-111-1-111111-1-1iiii−i−i−i−i−i−iii1-11111-1-111-1-1-1-1-111−i−i−i−iiiiiii−i−i-11
χ951111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-1-1-1-1-111-1-111111-1-1iiii−i−i−i−iii−i−i-11-1-1-1-111-1-111111-1-1iiii−i−i−i−iii−i−i-111111-1-111-1-1-1-1-111−i−i−i−iiiii−i−iii1-1
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χ10722-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000-2-2222-200−2−22202−2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000-2-2222-200−2−22202−2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000022-2-2-220022−2−20−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ10822-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000-2-2222-20022−2−20−22−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000-2-2222-20022−2−20−22−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000022-2-2-2200−2−22202−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000
χ10922-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000-2-2222-20022−2−20−22ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000-2-2222-20022−2−20−22ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000022-2-2-2200−2−22202−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000
χ1102-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i00-222-200-22−2i2i−2i2i00000000000−1+i1−i−1−i1+i00-222-200-22−2i2i−2i2i00000000000−1+i1−i−1−i1+i002-2-22002-22i−2i2i−2i000000000001−i−1+i1+i−1−i00
χ1112-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i00-222-200-22−2i2i−2i2i000000000001−i−1+i1+i−1−i00-222-200-22−2i2i−2i2i000000000001−i−1+i1+i−1−i002-2-22002-22i−2i2i−2i00000000000−1+i1−i−1−i1+i00
χ1122-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i00-222-200-222i−2i2i−2i00000000000−1−i1+i−1+i1−i00-222-200-222i−2i2i−2i00000000000−1−i1+i−1+i1−i002-2-22002-2−2i2i−2i2i000000000001+i−1−i1−i−1+i00
χ1132-2-22002-2−2i2i−2i2i00000000000−1−i1+i−1+i1−i00-222-200-222i−2i2i−2i000000000001+i−1−i1−i−1+i00-222-200-222i−2i2i−2i000000000001+i−1−i1−i−1+i002-2-22002-2−2i2i−2i2i00000000000−1−i1+i−1+i1−i00
χ1144-44-400002i2−2i2−2i22i200000000000000000-44-440000−2i22i22i2−2i200000000000000000-44-440000−2i22i22i2−2i2000000000000000004-44-400002i2−2i2−2i22i200000000000000000
χ1154-44-40000−2i22i22i2−2i200000000000000000-44-4400002i2−2i2−2i22i200000000000000000-44-4400002i2−2i2−2i22i2000000000000000004-44-40000−2i22i22i2−2i200000000000000000
χ1164-4-4400-44000000000000000000000-444-4004-4000000000000000000000-444-4004-40000000000000000000004-4-4400-44000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.