Finite Group Databasebeta

← Group #14425758

Character table — Group #14425758

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222224444444444444446666666688888888888888888888881212121212121212161616161616161616161616161620202020242424242424242424242424242440404040404040406060606080120120
order1222235561010246661010101010101515303044442020202044610101220202020202020202020303030303030242020202020201212303060606060606060606060224444101020202020202020202020246666121222441224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1
χ41111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111111-1-1
χ911111111111-1-11111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111-1-1-1-1-11111-1-1-1-11-11-11-1-1-1-1-11111-1-1-1-11-11-1111-11-11-1-11-1
χ1011111111111-1-11111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-11-11-1-1-11-11-111-11
χ1111111111111-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-11-1-1-1-1-1-1-1-111111-11-1-11-1-1-1-1-1-1-1-11111-111-1-1-11-11-11-11-11
χ1211111111111-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-11-1-1-1-1-1-1-1-11111-11-11-11-1-1-1-1-1-1-1-111111-1-1111-11-11-11-11-1
χ1311111111111-1-11111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11-11-1-111111-1-1-1-111111-11-1111-1-11-11-1-11
χ1411111111111-1-11111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-11-11-111111-1-1-1-11111-11-11-1-1-111-11-111-1
χ1511111111111-1-11111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-11-11-111111111-1-1-1-1-111-1-1-11-1-11-1111-1
χ1611111111111-1-11111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-11-111-111111111-1-1-1-11-1-1111-111-11-1-1-11
χ17222222−1−52−1+522−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+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+5222−1−52−1−52−1−52−1+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+52000022−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ18222222−1−52−1+522−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52-2-22−1−52−1+522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000
χ19222222−1−52−1+522−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52222−1−52−1+522−1−52−1+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+52-2-21+521+521+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+520000-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000000000000
χ20222222−1−52−1+522−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52-2-22−1−52−1+522−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521−521−521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ21222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+522-2-21+521−52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1−52−1+52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ22222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52-22-21+521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1−52−1+52−1+52−1+52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ23222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−522-2-21+521−52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52221+521+521+521−521−521−522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ24222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52-22-21+521−52-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521+521+521−521−521−52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200002-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ25222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52222−1+52−1−522−1+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+52−1−52−1−5222−1+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+52−1−52−1−52000022−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ26222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52-2-22−1+52−1−522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000
χ27222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52222−1+52−1−522−1+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+52−1−52−1−52-2-21−521−521−521+521+521+5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000000000000
χ28222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52-2-22−1+52−1−522−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521+521+521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ29222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−522-2-21−521+52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ30222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52-22-21−521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ31222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+522-2-21−521+52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52221−521−521−521+521+521+522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ32222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52-22-21−521+52-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521−521−521+521+521+52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200002-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ3322222-122-12222-1-1-1222222-1-1-1-10000000022-122-12222222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000000000022-1-1-1-1-1-10000-100
χ3422222-122-12222-1-1-1222222-1-1-1-10000000022-122-12222222222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000-2-21111110000100
χ3522222-122-12222-1-1-1222222-1-1-1-100000000-2-2-122-122-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011-1-1-1-111111111222200000000000000-2-2-1-111-1-10000100
χ3622222-122-12222-1-1-1222222-1-1-1-100000000-2-2-122-122-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000011-1-1-1-111111111-2-2-2-2000000000000002211-1-1110000-100
χ3722222-122-122-2-2-1-1-1222222-1-1-1-1000000002-21-2-21-2-22222-2-2-2-2-1-1-1-1-1-100000000-111111-1-1-1-111112-22-2000000000000002-2-11-1-1-110000100
χ3822222-122-122-2-2-1-1-1222222-1-1-1-1000000002-21-2-21-2-22222-2-2-2-2-1-1-1-1-1-100000000-111111-1-1-1-11111-22-2200000000000000-221-1111-10000-100
χ3922222-122-122-2-2-1-1-1222222-1-1-1-100000000-221-2-21-2-2-2-2-2-22222-1-1-1-1-1-1000000001-111111111-1-1-1-12-22-200000000000000-22-1111-110000-100
χ4022222-122-122-2-2-1-1-1222222-1-1-1-100000000-221-2-21-2-2-2-2-2-22222-1-1-1-1-1-1000000001-111111111-1-1-1-1-22-22000000000000002-21-1-1-11-10000100
χ41222-2-2222222002-2-2-2-22-22-2222222-2-222220000000000000000-2-22-22-2002-2-22-2-20000000000000020-2000000000000000002000-2020-20000
χ42222-2-2222222002-2-2-2-22-22-2222222-2-222220000000000000000-2-22-22-2002-2-22-2-200000000000000-20200000000000000000-200020-2020000
χ43222-2-2222222002-2-2-2-22-22-22222-2-222-2-2-2-20000000000000000-2-22-22-200-222-2220000000000000020-2000000000000000002000-20-2020000
χ44222-2-2222222002-2-2-2-22-22-22222-2-222-2-2-2-20000000000000000-2-22-22-200-222-22200000000000000-20200000000000000000-20002020-20000
χ4522-22-222222200-22-2-2-2-22-2222222-22-222220000000000000000-2-2-22-2200-22-2-22-200000000000000020-2000000000000000002000-2020-2000
χ4622-22-222222200-22-2-2-2-22-2222222-22-222220000000000000000-2-2-22-2200-22-2-22-2000000000000000-20200000000000000000-200020-202000
χ4722-22-222222200-22-2-2-2-22-222222-22-22-2-2-2-20000000000000000-2-2-22-22002-222-2200000000000000020-2000000000000000002000-20-202000
χ4822-22-222222200-22-2-2-2-22-222222-22-22-2-2-2-20000000000000000-2-2-22-22002-222-22000000000000000-20200000000000000000-20002020-2000
χ4922-2-222222222-2-2-2222-2-2-2-222222-2-22222200222-2-2-20000000022-2-2-2-2-22-2-22-2-220022-2-200000000000000-2-22200000000000000000000000
χ5022-2-222222222-2-2-2222-2-2-2-22222-222-2-2-2-2-200222-2-2-20000000022-2-2-2-22-222-222-20022-2-20000000000000022-2-200000000000000000000000
χ5122-2-22222222-22-2-2222-2-2-2-222222-2-22222200-2-2-22220000000022-2-2-2-22-2-2-22-2-2200-2-2220000000000000022-2-200000000000000000000000
χ5222-2-22222222-22-2-2222-2-2-2-22222-222-2-2-2-2-200-2-2-22220000000022-2-2-2-2-2222-222-200-2-22200000000000000-2-22200000000000000000000000
χ5322-2-222−1−52−1+522−1−52−1+522-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+52002−1−52−1+52-21+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−52-221+521+52−1−521−521−52−1+5200−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000001+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000
χ5422-2-222−1−52−1+522−1−52−1+522-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+52002−1−52−1+52-21+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521+521−521−52-221+521+52−1−521−521−52−1+5200−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000
χ5522-2-222−1−52−1+522−1−52−1+522-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-222-21+521+521−521−52002−1−52−1+52-21+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−522-2−1−52−1−521+52−1+52−1+521−5200−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000
χ5622-2-222−1−52−1+522−1−52−1+522-2-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-222-21+521+521−521−52002−1−52−1+52-21+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521+521−521−522-2−1−52−1−521+52−1+52−1+521−5200−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000
χ5722-2-222−1−52−1+522−1−52−1+52-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+5200-21+521−522−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521+521−521−522-21+521+52−1−521−521−52−1+52001+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000−1−52−1+521+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000
χ5822-2-222−1−52−1+522−1−52−1+52-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+5200-21+521−522−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−522-21+521+52−1−521−521−52−1+52001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000−1−52−1+521+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000
χ5922-2-222−1−52−1+522−1−52−1+52-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-222-21+521+521−521−5200-21+521−522−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−1−52−1+521+521+521−521−52-22−1−52−1−521+52−1+52−1+521−52001+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ470000001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000
χ6022-2-222−1−52−1+522−1−52−1+52-22-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52-222-21+521+521−521−5200-21+521−522−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−1−52−1+521+521+521−521−52-22−1−52−1−521+52−1+52−1+521−52001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ470000001+521−52−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000
χ6122-2-222−1+52−1−522−1+52−1−522-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−52002−1+52−1−52-21−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1−521−521−521+521+52-221−521−52−1+521+521+52−1−5200−1+52−1−521−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000001−521+52−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000
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χ6422-2-222−1+52−1−522−1+52−1−522-2-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-222-21−521−521+521+52002−1+52−1−52-21−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−1+52−1−521−521−521+521+522-2−1+52−1+521−52−1−52−1−521+5200−1+52−1−521−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000−1+52−1−521−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000
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χ6622-2-222−1+52−1−522−1+52−1−52-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−5200-21−521+522−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1−521−521−521+521+522-21−521−52−1+521+521+52−1−52001−521+52−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000−1+52−1−521−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000
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χ6822-2-222−1+52−1−522−1+52−1−52-22-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52-222-21−521−521+521+5200-21−521+522−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−1+52−1−521−521−521+521+52-22−1+52−1+521−52−1−52−1−521+52001−521+52−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ590000001−521+52−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000
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χ8644-44-44−1+5−1−54−1+5−1−500-44-41−51+51−5−1+51+5−1−5−1+5−1−5−1+5−1−5-44-441−51−51+51+500000000000000001−51+51−5−1+51+5−1−500−1+51−5−1+5−1−51+5−1−500000000000000000000000000000000000000000000000
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χ9144-4-44-2−1−5−1+5-2−1−5−1+54-422-2−1−5−1+51+51+51−51−51+521−521+521−520000000000-2−1−5−1+521+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ471+521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000000000000000
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χ9544-4-44-2−1+5−1−5-2−1+5−1−54-422-2−1+5−1−51−51−51+51+51−521+521−521+520000000000-2−1+5−1−521−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000000000
χ9644-4-44-2−1+5−1−5-2−1+5−1−54-422-2−1+5−1−51−51−51+51+51−521+521−521+520000000000-2−1+5−1−521−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000000000000
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χ9844-4-44-2−1+5−1−5-2−1+5−1−5-4422-2−1+5−1−51−51−51+51+51−521+521−521+52000000000021−51+5-2−1+5−1−5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ591−521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000000000000
χ99888-8-8-4−2−25−2+25-4−2−25−2+2500-4442+252−25−2−252+25−2+252−251+51−51+51−5000000000000000000000000−1−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000
χ100888-8-8-4−2+25−2−25-4−2+25−2−2500-4442−252+25−2+252−25−2−252+251−51+51−51+5000000000000000000000000−1+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000
χ10188-88-8-4−2−25−2+25-4−2−25−2+25004-442+252−252+25−2−252−25−2+251+51−51+51−5000000000000000000000000−1−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000
χ10288-88-8-4−2+25−2−25-4−2+25−2−25004-442−252+252−25−2+252+25−2−251−51+51−51+5000000000000000000000000−1+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000
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χ1048-80008−2−25−2+25-82+252−2500000000000−2−25−2+252+252−250000−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-80008−2−25−2+25-82+252−2500000000000−2−25−2+252+252−2500004ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-80008−2+25−2−25-82−252+2500000000000−2+25−2−252−252+2500004ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-80008−2+25−2−25-82−252+2500000000000−2+25−2−252−252+250000−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8000-4884-8-800000000000-4-44400000000000000000000000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ1098-8000-4884-8-800000000000-4-444000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ11016-16000-8−4−45−4+4584+454−45000000000002+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11116-16000-8−4+45−4−4584−454+45000000000002−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.