Finite Group Databasebeta

← Group #14453321

Character table — Group #14453321

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222444444444444448888888888888888888888888881010121212121212121212121616161616161616161616202020202024242424242424242424244040404040404048486060606080120120
order12223445566610101010101012121515202020203030303030302266810101010242440404040606060601201201201201201201201202222248810101010610103030303030303030224664101010102020404040404668122424202044881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1-1-111111-11111-1-11111-111-11-1-1-1-1-1-111-11-1
χ6111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-11-1-11111-1-1-1-11
χ7111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11-111-1-111-1-11-11
χ8111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11-11111-1-11111-1
χ911111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-11111-1-1111-1111111-1-1-1-11-1-1-11-1-1-1-111-1-111-1
χ1011111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-11-1-111-1-1111-11
χ1111111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-111-1-1-1-111-1-11
χ1211111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1111-1111111-1-1-11-1
χ1311111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-11-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-11111-1-11111-1-1-1
χ1511111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1-1111-1-1-1-11111111-1-1
χ1611111111111111111111111111111111-1-1-1-11-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200222222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000002−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+520000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-2-2-2-21+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000-21+521+521−521−521+521−521+521+521−521−5200000001+521−520000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520022-2-2221+521+521−521−52-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000001+521−520000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-222-2-2−1−52−1−52−1+52−1+52-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000021+521+521−521−52−1−52−1+521+521+521−521−520000000−1−52−1+520000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52002222-2-2−1−52−1−52−1+52−1+5221+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000001+521−520000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2-2-2221+521+521−521−5221+521−521+521+521−521−52−1−52−1−52−1+52−1+520000021+521+521−521−521+521−52−1−52−1−52−1+52−1+520000000−1−52−1+520000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-221+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022-2-2-2-21+521+521−521−52-21+521−521+521+521−521−521+521+521−521−52000002−1−52−1−52−1+52−1+521+521−521+521+521−521−520000000−1−52−1+520000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-221+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-22222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−5200000-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000001+521−520000000
χ252222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200222222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000002−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−520000000
χ262222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-2-2-21−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000-21−521−521+521+521−521+521−521−521+521+5200000001−521+520000000
χ272222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022-2-2221−521−521+521+52-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000001−521+520000000
χ282222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-222-2-2−1+52−1+52−1−52−1−52-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000021−521−521+521+52−1+52−1−521−521−521+521+520000000−1+52−1−520000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52002222-2-2−1+52−1+52−1−52−1−5221−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000001−521+520000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-2-2-2221−521−521+521+5221−521+521−521−521+521+52−1+52−1+52−1−52−1−520000021−521−521+521+521−521+52−1+52−1+52−1−52−1−520000000−1+52−1−520000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-221−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022-2-2-2-21−521−521+521+52-21−521+521−521−521+521+521−521−521+521+52000002−1+52−1+52−1−52−1−521−521+521−521−521+521+520000000−1+52−1−520000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-221−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-22222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+5200000-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000001−521+520000000
χ3322222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-20000000022002-20022220000000000000-22200000-2-200000000-20000-2200000
χ3422222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-2000000002200-2200-2-2-2-20000000000000-222000002200000000-200002-200000
χ3522222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-200000000-2-2002-200222200000000000002-2-200000-2-200000000200002-200000
χ3622222-2-222222222222-2-222-2-2-2-2222222000000000000000-2-2-2-200000000-2-200-2200-2-2-2-200000000000002-2-200000220000000020000-2200000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000-122-1-1-1-1-1-1-1-1222-1-1000000000002-1-12-1-1-1000000-100
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-122222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000-122-1-1-1-1-1-1-1-1-2-2-21100000000000-211-2111000000100
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-2-2-2-2-211-2-2-2-2-1-1-1-111111111220000000000122-1-1-1-11111222-1-100000000000-2-1-1-2-111000000100
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-2-2-2-2-211-2-2-2-2-1-1-1-111111111-2-20000000000122-1-1-1-11111-2-2-2110000000000021121-1-1000000-100
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-2222211-2-2-2-2-1-1-1-111111111220000000000-1-2-21111-1-1-1-1-2-22-1-100000000000211-2-111000000-100
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-2222211-2-2-2-2-1-1-1-111111111-2-20000000000-1-2-21111-1-1-1-122-21100000000000-2-1-121-1-1000000100
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200000000001-2-211111111-2-22-1-100000000000-2112-1-1-1000000100
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000001-2-21111111122-211000000000002-1-1-2111000000-100
χ452-2-222-2222-22-2-2-222-2-2-2222-2-222-2-2-2-22200000000000000022-2-200000000002-200000000000000000002-200002-22-200000002-2000000002-2000
χ462-2-222-2222-22-2-2-222-2-2-2222-2-222-2-2-2-22200000000000000022-2-200000000002-20000000000000000000-2200002-22-20000000-2200000000-22000
χ472-2-222-2222-22-2-2-222-2-2-2222-2-222-2-2-2-22200000000000000022-2-20000000000-2200000000000000000002-20000-22-2200000002-200000000-22000
χ482-2-222-2222-22-2-2-222-2-2-2222-2-222-2-2-2-22200000000000000022-2-20000000000-220000000000000000000-220000-22-220000000-22000000002-2000
χ4944444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+50000000000000001+51−51+51−50000000000004-400−1−5−1−5−1+5−1+50000000000000000000001+51−500000000000000000000
χ5044444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+50000000000000001+51−51+51−5000000000000-44001+51+51−51−5000000000000000000000−1−5−1+500000000000000000000
χ5144444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−50000000000000001−51+51−51+50000000000004-400−1+5−1+5−1−5−1−50000000000000000000001−51+500000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−50000000000000001−51+51−51+5000000000000-44001−51−51+51+5000000000000000000000−1+5−1−500000000000000000000
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χ944-4-44-24-4−1+5−1−52-221−51+5−1+5−1−51−51+5-221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+5200−2i32i302ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000−1+52−1−521−521+52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92000000000000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000000000000000000000000
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χ1008888-4-8-8−2−25−2+25-4-4-4−2−25−2+25−2−25−2+25−2−25−2+25441+51−52+252−252+252−251+51+51−51−51+51−5000000000000000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000
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χ1098-88-8-400−2−25−2+2544-4−2−25−2+252+252−252+252−25001+51−50000−1−51+5−1+51−5−1−5−1+5000000000−2i62i600000000−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ1190000000000000000000000000000000000000000000000000000000
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χ1118-88-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−5000000000−2i62i600000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ1030000000000000000000000000000000000000000000000000000000
χ1128-88-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−50000000002i6−2i600000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ1030000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-88−2−25−2+254-442+252−25−2−25−2+252+252−254-41+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−50000000000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-88−2+25−2−254-442−252+25−2+25−2−252−252+254-41−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+50000000000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.