Finite Group Databasebeta

← Group #136355

Character table — Group #136355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488881616161616161616161616161616161644444488881616161616161616444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911-1-111-1-11-1-1-111-111111-1-1-1-1ii−i−i1-1-1-11111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1-1ii−i−i11-1-1i−i
χ1011-1-111-1-11-1-1-111-111111-1-1-1-1ii−i−i1-1-1-11111111111-1-1-1-1-1-1-1-1i−i-1-111ii−i−iiiii−i−i−i−i-11−i−iii-1-111−ii
χ1111-1-111-1-11-1-1-111-111111-1-1-1-1ii−i−i1-1-1-111-1-1-1-1-1-1-1-111111111i−i11-1-1ii−i−i−i−i−i−iiiii1-1ii−i−i-1-111−ii
χ1211-1-111-1-11-1-1-111-111111-1-1-1-1ii−i−i1-1-1-111-1-1-1-1-1-1-1-111111111i−i-1-111ii−i−i−i−i−i−iiiii-11−i−iii11-1-1i−i
χ1311-1-111-1-11-1-1-111-111111-1-1-1-1−i−iii1-1-1-11111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1-1−i−iii11-1-1−ii
χ1411-1-111-1-11-1-1-111-111111-1-1-1-1−i−iii1-1-1-11111111111-1-1-1-1-1-1-1-1−ii-1-111−i−iii−i−i−i−iiiii-11ii−i−i-1-111i−i
χ1511-1-111-1-11-1-1-111-111111-1-1-1-1−i−iii1-1-1-111-1-1-1-1-1-1-1-111111111−ii11-1-1−i−iiiiiii−i−i−i−i1-1−i−iii-1-111i−i
χ1611-1-111-1-11-1-1-111-111111-1-1-1-1−i−iii1-1-1-111-1-1-1-1-1-1-1-111111111−ii-1-111−i−iiiiiii−i−i−i−i-11ii−i−i11-1-1−ii
χ172222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000220000-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-20000222200000000000000000000
χ1922222222222-2-2-2-22000000002222-2-200002222−2−2−2−22222−2−2−2−2-2-20000000022−2−222−2−2000000000000
χ2022222222222-2-2-2-22000000002222-2-20000−2−2−2−22222−2−2−2−22222-2-200000000−2−222−2−222000000000000
χ2122222222222-2-2-2-2200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−22200000000−2−222−2−222000000000000
χ2222222222222-2-2-2-2200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−22222220000000022−2−222−2−2000000000000
χ2322222222-2-2-22222-2222222220000-2-2-2-2-2-20000000000000000002222000000000000-2-20000000000
χ2422222222-2-2-22222-2222222220000-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000220000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-20000-2-222220000000000000000000000000000000000002-22-2000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000000000000000-22-22000000
χ27222-2-2-22-2-22-20000222−2−22−22−22-22-2002−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000002−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ28222-2-2-22-2-22-20000222−2−22−22−22-22-2002−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000002−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ29222-2-2-22-2-22-20000222−2−22−22−2-22-22002−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000−22−22−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ30222-2-2-22-2-22-20000222−2−22−22−2-22-22002−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000−22−22ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ31222-2-2-22-2-22-200002−2−222−22−222-22-200−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000−22−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ32222-2-2-22-2-22-200002−2−222−22−222-22-200−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000−22−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ33222-2-2-22-2-22-200002−2−222−22−22-22-2200−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000002−22−2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ34222-2-2-22-2-22-200002−2−222−22−22-22-2200−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000002−22−2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ3522-22-2-2-22-2-220000222−2−2−22−222i−2i−2i2i00−222−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000i2−i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ3622-22-2-2-22-2-220000222−2−2−22−222i−2i−2i2i00−222−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000i2−i2−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ3722-22-2-2-22-2-220000222−2−2−22−22−2i2i2i−2i00−222−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000−i2i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ3822-22-2-2-22-2-220000222−2−2−22−22−2i2i2i−2i00−222−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000−i2i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ3922-22-2-2-22-2-2200002−2−2222−22−22i−2i−2i2i002−2−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4022-22-2-2-22-2-2200002−2−2222−22−22i−2i−2i2i002−2−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4122-22-2-2-22-2-2200002−2−2222−22−2−2i2i2i−2i002−2−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4222-22-2-2-22-2-2200002−2−2222−22−2−2i2i2i−2i002−2−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4322-2-222-2-22-2-22-2-222000000002i2i−2i−2i-2200002222−2−2−2−2−2−2−2−22222−2i2i00000000i2i2−i2−i2−i2−i2i2i2000000000000
χ4422-2-222-2-22-2-22-2-222000000002i2i−2i−2i-220000−2−2−2−222222222−2−2−2−2−2i2i00000000−i2−i2i2i2i2i2−i2−i2000000000000
χ4522-2-222-2-22-2-22-2-22200000000−2i−2i2i2i-2200002222−2−2−2−2−2−2−2−222222i−2i00000000−i2−i2i2i2i2i2−i2−i2000000000000
χ4622-2-222-2-22-2-22-2-22200000000−2i−2i2i2i-220000−2−2−2−222222222−2−2−2−22i−2i00000000i2i2−i2−i2−i2−i2i2i2000000000000
χ4722-2-222-2-22-2-2-222-22-2-2-2-222222i2i−2i−2i2-222-2-200000000000000002i−2i0000−2i−2i2i2i00000000000000000000
χ4822-2-222-2-22-2-2-222-22-2-2-2-22222−2i−2i2i2i2-222-2-20000000000000000−2i2i00002i2i−2i−2i00000000000000000000
χ4922-2-222-2-2-222-222-2-22222-2-2-2-20000-2222-2-200000000000000000022-2-2000000000000-220000000000
χ5022-2-222-2-2-222-222-2-22222-2-2-2-20000-2222-2-2000000000000000000-2-2220000000000002-20000000000
χ5122-2-222-2-2-222-222-2-2-2-2-2-222220000-22-2-2220000000000000000000000000000000000002i−2i−2i2i000000
χ5222-2-222-2-2-222-222-2-2-2-2-2-222220000-22-2-222000000000000000000000000000000000000−2i2i2i−2i000000
χ532-2222-2-2-2000-22-2202-22-2-2-22200000000002−22−22−22−22−22−22−22−2002i−2i2i−2i000000000000000000i2−i2i2−i200
χ542-2222-2-2-2000-22-2202-22-2-2-22200000000002−22−22−22−22−22−22−22−200−2i2i−2i2i000000000000000000−i2i2−i2i200
χ552-2222-2-2-2000-22-2202-22-2-2-2220000000000−22−22−22−22−22−22−22−22002i−2i2i−2i000000000000000000−i2i2−i2i200
χ562-2222-2-2-2000-22-2202-22-2-2-2220000000000−22−22−22−22−22−22−22−2200−2i2i−2i2i000000000000000000i2−i2i2−i200
χ572-2-2-22-22200022-2-202-22-222-2-200000000002−22−22−22−2−22−22−22−22002i−2i−2i2i000000000000000000i2−i2−i2i200
χ582-2-2-22-22200022-2-202-22-222-2-200000000002−22−22−22−2−22−22−22−2200−2i2i2i−2i000000000000000000−i2i2i2−i200
χ592-2-2-22-22200022-2-202-22-222-2-20000000000−22−22−22−222−22−22−22−2002i−2i−2i2i000000000000000000−i2i2i2−i200
χ602-2-2-22-22200022-2-202-22-222-2-20000000000−22−22−22−222−22−22−22−200−2i2i2i−2i000000000000000000i2−i2−i2i200
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ62444-4-4-44-44-440000-42222−22−2222−2222−22000000−2222−22220000000000000000000000000000000000000000000000
χ63444-4-4-44-44-440000-4−22−222222−2222−222200000022−2222−220000000000000000000000000000000000000000000000
χ6444-44-4-4-4444-40000-42222−22−22−2222−222200000022−22−22220000000000000000000000000000000000000000000000
χ6544-44-4-4-4444-40000-4−22−22222222−2222−22000000−222222−220000000000000000000000000000000000000000000000
χ6644-4-444-4-4-4444-4-44-40000000000004-400000000000000000000000000000000000000000000000000
χ674-4444-4-4-40004-44-400000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ684-4444-4-4-40004-44-40000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ694-4444-4-4-4000-44-440-44-4444-4-400000000000000000000000000000000000000000000000000000000
χ704-44-4-44-440000000022−22−2222−222222−220000000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7000000000000000000000000000000
χ714-44-4-44-440000000022−22−2222−222222−220000000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7000000000000000000000000000000
χ724-44-4-44-4400000000−222222−2222−22−22220000000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7000000000000000000000000000000
χ734-44-4-44-4400000000−222222−2222−22−22220000000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7000000000000000000000000000000
χ744-4-44-444-40000000022−22−222222−22−22220000000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7000000000000000000000000000000
χ754-4-44-444-40000000022−22−222222−22−22220000000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7000000000000000000000000000000
χ764-4-44-444-400000000−222222−22−222222−220000000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7000000000000000000000000000000
χ774-4-44-444-400000000−222222−22−222222−220000000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7000000000000000000000000000000
χ784-4-4-44-44400044-4-40-44-44-4-44400000000000000000000000000000000000000000000000000000000
χ794-4-4-44-444000-4-44400000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000
χ804-4-4-44-444000-4-4440000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000

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