Finite Group Databasebeta

← Group #14512771

Character table — Group #14512771

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222224444555566668888888810101212121212121212121212121212121216161616161616161616161616161616242424242424242424242424242424243030303040404040404040406060606060606060
order1222445510101010101020202020444444443666121212124422448888202020202020202015153030303030306060606060606060101010102020202040404040404040402244121212121212121222448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1
χ61111-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ911-1-1i−i11-1-111-1-1ii−i−iii−i−ii−i1-11-11-1ii−i−i1-11-1i−i1-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−iii−i−i11-1-11-1i−ii−i1-1
χ1011-1-1i−i11-1-111-1-1ii−i−iii−i−ii−i1-11-11-1ii−i−i1-1-11−ii-11−iiii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii1-1i−iii−i−i11-1-1-11−ii−ii-11
χ1111-1-1i−i11-1-111-1-1ii−i−i−i−iiii−i1-11-11-1ii−i−i-111-1i−i1-1i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii−i−iii-1-111-11−ii−ii-11
χ1211-1-1i−i11-1-111-1-1ii−i−i−i−iiii−i1-11-11-1ii−i−i-11-11−ii-11−iiii−i−i11-1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii-11−ii−i−iii-1-1111-1i−ii−i1-1
χ1311-1-1−ii11-1-111-1-1−i−iiiii−i−i−ii1-11-11-1−i−iii-111-1−ii1-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii-11i−iii−i−i-1-111-11i−ii−i-11
χ1411-1-1−ii11-1-111-1-1−i−iiiii−i−i−ii1-11-11-1−i−iii-11-11i−i-11i−i−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i-11i−iii−i−i-1-1111-1−ii−ii1-1
χ1511-1-1−ii11-1-111-1-1−i−iii−i−iii−ii1-11-11-1−i−iii1-11-1−ii1-1−ii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii1-1−ii−i−iii11-1-11-1−ii−ii1-1
χ1611-1-1−ii11-1-111-1-1−i−iii−i−iii−ii1-11-11-1−i−iii1-1-11i−i-11i−i−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i1-1−ii−i−iii11-1-1-11i−ii−i-11
χ1722222222222222222222222222-1-1-1-1-1-1-1-1220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ18222222222222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-20000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ19222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200002222222222220022222222−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ20222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000022222222222200-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200002222222222220022222222−1+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+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000022222222222200-2-2-2-2-2-2-2-2−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ232222-2-222222222-2-2-2-22222-2-222-1-1-1-11111-2-200000000-2-2-2-22222-1-1-1-1-1-1-1-1111111110000000000000000-2-222-1-1-1-1111100000000
χ242222-2-222222222-2-2-2-2-2-2-2-2-2-222-1-1-1-111112200000000-2-2-2-22222-1-1-1-1-1-1-1-111111111000000000000000022-2-21111-1-1-1-100000000
χ252222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000-2-2222222-2-2-2-20022-2-222-2-21+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000000000
χ262222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000-2-2222222-2-2-2-200-2-222-2-2221+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000-2-2222222-2-2-2-20022-2-222-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000-2-2222222-2-2-2-200-2-222-2-2221−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ2922-2-22i−2i22-2-222-2-22i2i−2i−2i2i2i−2i−2i2i−2i2-2-11-11−i−iii2-2000000002i2i−2i−2i22-2-2-1-1-1-11111−i−i−i−iiiii00000000000000002-22i−2i−i−iii-1-11100000000
χ3022-2-22i−2i22-2-222-2-22i2i−2i−2i−2i−2i2i2i2i−2i2-2-11-11−i−iii-22000000002i2i−2i−2i22-2-2-1-1-1-11111−i−i−i−iiiii0000000000000000-22−2i2iii−i−i11-1-100000000
χ3122-2-22i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700002i−2i2-22-22-22i2i−2i−2i002-22i−2i2-22i−2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000000000000000
χ3222-2-22i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700002i−2i2-22-22-22i2i−2i−2i00-22−2i2i-22−2i2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ471+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ471+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000000000000000
χ3322-2-22i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900002i−2i2-22-22-22i2i−2i−2i002-22i−2i2-22i−2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000000000000000
χ3422-2-22i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900002i−2i2-22-22-22i2i−2i−2i00-22−2i2i-22−2i2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ591−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ591−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000000000000000
χ3522-2-2−2i2i22-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i2i2-2-11-11ii−i−i-2200000000−2i−2i2i2i22-2-2-1-1-1-11111iiii−i−i−i−i0000000000000000-222i−2i−i−iii11-1-100000000
χ3622-2-2−2i2i22-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i2i2-2-11-11ii−i−i2-200000000−2i−2i2i2i22-2-2-1-1-1-11111iiii−i−i−i−i00000000000000002-2−2i2iii−i−i-1-11100000000
χ3722-2-2−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000−2i2i2-22-22-2−2i−2i2i2i002-2−2i2i2-2−2i2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000000000000000
χ3822-2-2−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000−2i2i2-22-22-2−2i−2i2i2i00-222i−2i-222i−2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ471+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000000000000000
χ3922-2-2−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000−2i2i2-22-22-2−2i−2i2i2i002-2−2i2i2-2−2i2iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000000000000000
χ4022-2-2−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000−2i2i2-22-22-2−2i−2i2i2i00-222i−2i-222i−2iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ591−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ591−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000000000000000
χ413333333333333333333333-1-1-1-100000000331111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1
χ423333333333333333333333-1-1-1-10000000033-1-1-1-11111-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-100000000-1-1-1-11111
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χ978-88-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000022-2-22i3−2i32i3−2i3000000000000000000−1+52−1−521−521+521−521+52−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000
χ988-88-800−2+25−2−25−2+25−2−252−252+252−252+25000000000000-4-44400000000000000000000001−51+5−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000
χ998-8-8800−2−25−2+252+252−252+252−25−2−25−2+250000000000002-2-2223−23−2323000000000000000000−1−52−1+521+521−52−1−52−1+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−ζ47000000000000000000000000000000000000
χ1008-8-8800−2−25−2+252+252−252+252−25−2−25−2+250000000000002-2-22−232323−23000000000000000000−1−52−1+521+521−52−1−52−1+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+ζ47000000000000000000000000000000000000
χ1018-8-8800−2−25−2+252+252−252+252−25−2−25−2+25000000000000-444-400000000000000000000001+51−5−1−5−1+51+51−5−1−5−1+500000000000000000000000000000000000000000000
χ1028-8-8800−2+25−2−252−252+252−252+25−2+25−2−250000000000002-2-2223−23−2323000000000000000000−1+52−1−521−521+52−1+52−1−521−521+52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000
χ1038-8-8800−2+25−2−252−252+252−252+25−2+25−2−250000000000002-2-22−232323−23000000000000000000−1+52−1−521−521+52−1+52−1−521−521+52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000
χ1048-8-8800−2+25−2−252−252+252−252+25−2+25−2−25000000000000-444-400000000000000000000001−51+5−1+5−1−51−51+5−1+5−1−500000000000000000000000000000000000000000000

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