Finite Group Databasebeta

← Group #13085921

Character table — Group #13085921

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222444444444444444444445555666666666666888888881010101010101010121212121212121212121212121212121212121212121212181820202020303030303030303030303030363636369090
order1222335566666610101010101036661515151530303030303030303030303044444444121212121212121215153030303030301212121212121212202020202020202060606060606060606060606060606060441212121222446666121212122020202022
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1
χ911-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1ii−i−i1-1i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−iii−i−i1-1i−i11-1-1ii−i−iii−i−i1-1
χ1011-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1ii−i−i1-1−ii11-1-1−i−iii1111-1-1-1-1ii−i−iii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−iiii−i−i-11i−i-1-111ii−i−i−i−iii-11
χ1111-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1ii−i−i-11i−i-1-111ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−iiii−i−i1-1−ii11-1-1−i−iii−i−iii-11
χ1211-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1ii−i−i-11−ii-1-111−i−iii1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−iii−i−i-11−ii-1-111−i−iiiii−i−i1-1
χ1311-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−i−iii1-1i−i11-1-1ii−i−i1111-1-1-1-1−i−iii−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i−i−iii-11−ii-1-111−i−iiiii−i−i-11
χ1411-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−i−iii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−i−iii1-1−ii11-1-1−i−iii−i−iii1-1
χ1511-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−i−iii-11i−i-1-111ii−i−i1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii−i−iii-11i−i-1-111ii−i−i−i−iii1-1
χ1611-1-111111-11-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−i−iii-11−ii-1-111−i−iii1111-1-1-1-1−i−iii−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i−i−iii1-1i−i11-1-1ii−i−iii−i−i-11
χ17222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+520000222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+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+52220000000000000000−1−52−1+52−1−52−1+5200
χ18222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+52000022-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-200000000000000001+521−521+521−5200
χ19222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+520000-2-222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200000000000000001+521−521+521−5200
χ20222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+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+520000-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52220000000000000000−1−52−1+52−1−52−1+5200
χ21222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−520000222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000−1+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+52−1−52−1−52220000000000000000−1+52−1−52−1+52−1−5200
χ22222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−52000022-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-200000000000000001−521+521−521+5200
χ23222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−520000-2-222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200000000000000001−521+521−521+5200
χ24222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+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+52−1−520000-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52220000000000000000−1+52−1−52−1+52−1−5200
χ2522222-122-1-122-12222222-1-1-1-12-12-1-1-122-122-122-1-1222200220000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000222200000000-1-1-1-1-1-1-1-100-1-1-1-12200-1-1-1-10000000000
χ2622222-122-1-122-12222222-1-1-1-12-12-1-1-122-122-122-1-1222200-2-200001111-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2000000001111111100-1-1-1-1-2-20011110000000000
χ2722222-122-1-122-12222222-1-1-1-12-12-1-1-122-122-122-1-1-2-2-2-200220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000222200000000-1-1-1-1-1-1-1-1001111-2-20011110000000000
χ2822222-122-1-122-12222222-1-1-1-12-12-1-1-122-122-122-1-1-2-2-2-200-2-200001111-1-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-200000000111111110011112200-1-1-1-10000000000
χ292222-122222-1-12-1222222-1-1-1-1-12-1222-1-12-1-12-1-12222222200-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-10000000000-1-1-1-100220000-1-1-1-1000000
χ302222-122222-1-12-1222222-1-1-1-1-12-1222-1-12-1-12-1-1222222-2-20011110000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000111111110000000000-1-1-1-100-2-200001111000000
χ312222-122222-1-12-1222222-1-1-1-1-12-1222-1-12-1-12-1-122-2-2-2-22200-1-1-1-10000-1-1-1-1-1-1-1-11111-2-2-2-222220000-1-1-1-1-1-1-1-10000000000111100-2-200001111000000
χ322222-122222-1-12-1222222-1-1-1-1-12-1222-1-12-1-12-1-122-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-20000111111110000000000111100220000-1-1-1-1000000
χ3322-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−5200002-22i−2i22-2-22i2i−2i−2i−1−52−1+52−1−52−1+521+521+521−521−5200000000−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1−52−1+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+ζ472i−2i0000000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700
χ3422-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−5200002-2−2i2i22-2-2−2i−2i2i2i−1−52−1+52−1−52−1+521+521+521−521−5200000000−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+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−ζ47−2i2i0000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700
χ3522-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−520000-222i−2i-2-2222i2i−2i−2i−1−52−1+52−1−52−1+521+521+521−521−52000000001+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521+521−521−52−1−52−1−52−1+52−1+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+ζ47−2i2i0000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700
χ3622-2-222−1−52−1+522-22-2-2-21+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−520000-22−2i2i-2-222−2i−2i2i2i−1−52−1+52−1−52−1+521+521+521−521−52000000001+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ471+521+521−521−52−1−52−1−52−1+52−1+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−ζ472i−2i0000000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700
χ3722-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+5200002-22i−2i22-2-22i2i−2i−2i−1+52−1−52−1+52−1−521−521−521+521+5200000000−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+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+ζ592i−2i0000000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900
χ3822-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+5200002-2−2i2i22-2-2−2i−2i2i2i−1+52−1−52−1+52−1−521−521−521+521+5200000000−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+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−ζ59−2i2i0000000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900
χ3922-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+520000-222i−2i-2-2222i2i−2i−2i−1+52−1−52−1+52−1−521−521−521+521+52000000001−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−52−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+ζ59−2i2i0000000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900
χ4022-2-222−1+52−1−522-22-2-2-21−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+520000-22−2i2i-2-222−2i−2i2i2i−1+52−1−52−1+52−1−521−521−521+521+52000000001−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ591−521−521+521+52−1+52−1+52−1−52−1−52ζ7+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−ζ592i−2i0000000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900
χ4122-2-22-122-112-21-2-2-222-2-2-1-1112-12-1-1-1-2-21-2-2122112i2i−2i−2i002i−2i0000−i−iii-1-1-1-111112i2i−2i−2i−i−iii00002i2i−2i−2i00000000−i−i−i−iiiii00−i−iii2-200-1-1110000000000
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χ954-44-4-24−1−5−1+5-4422-4-2−1−5−1+51+51−51+51−5-22-221+52−1−51−52−1+51+51−51+52−1−52−1−51−52−1+52−1+5−1−52−1+521+51−50000000023−2323−2300001+521−52−1−52−1+521+52−1−521−52−1+520000000000000000−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+ζ4700000000000000000000000000000000
χ964-44-4-24−1−5−1+5-4422-4-2−1−5−1+51+51−51+51−5-22-221+52−1−51−52−1+51+51−51+52−1−52−1−51−52−1+52−1+5−1−52−1+521+51−500000000−2323−232300001+521−52−1−52−1+521+52−1−521−52−1+520000000000000000ζ11−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−ζ4700000000000000000000000000000000
χ974-44-4-24−1+5−1−5-4422-4-2−1+5−1−51−51+51−51+5-22-221−52−1+51+52−1−51−51+51−52−1+52−1+51+52−1−52−1−5−1+52−1−521−51+50000000023−2323−2300001−521+52−1+52−1−521−52−1+521+52−1−520000000000000000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000
χ984-44-4-24−1+5−1−5-4422-4-2−1+5−1−51−51+51−51+5-22-221−52−1+51+52−1−51−51+51−52−1+52−1+51+52−1−52−1−5−1+52−1−521−51+500000000−2323−232300001−521+52−1+52−1−521−52−1+521+52−1−520000000000000000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000000
χ994-44-4-2-2442-2222-244-4-4-4-41-11-1-2-2-2-222-22-2-22-222224i−4i4i−4i00000000000011-1-11-11-1−2i2i−2i2i−2i2i−2i2i00000000000000000000000000i−ii−i000000000000000000
χ1004-44-4-2-2442-2222-244-4-4-4-41-11-1-2-2-2-222-22-2-22-22222−4i4i−4i4i00000000000011-1-11-11-12i−2i2i−2i2i−2i2i−2i00000000000000000000000000−ii−ii000000000000000000
χ1014-4-4444−1−5−1+5-4-4-444-41+51−51+51−5−1−5−1+54-4-44−1−5−1−5−1+5−1+51+51−51+5−1−51+51−5−1+51−51+51−5−1−5−1+50000000000000000−1−5−1+51+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000
χ1024-4-4444−1+5−1−5-4-4-444-41−51+51−51+5−1+5−1−54-4-44−1+5−1+5−1−5−1−51−51+51−5−1+51−51+5−1−51+51−51+5−1+5−1−50000000000000000−1+5−1−51−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000
χ1034-4-444-2−1−5−1+522-44-2-41+51−51+51−5−1−5−1+5-222-2−1−51+52−1+51−52−1−52−1+521+5−1−5−1−521−5−1+5−1+521+51−51+521−52000000000000−2i32i32i3−2i31+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000
χ1044-4-444-2−1−5−1+522-44-2-41+51−51+51−5−1−5−1+5-222-2−1−51+52−1+51−52−1−52−1+521+5−1−5−1−521−5−1+5−1+521+51−51+521−520000000000002i3−2i3−2i32i31+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000
χ1054-4-444-2−1+5−1−522-44-2-41−51+51−51+5−1+5−1−5-222-2−1+51−52−1−51+52−1+52−1−521−5−1+5−1+521+5−1−5−1−521−51+51−521+52000000000000−2i32i32i3−2i31−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000
χ1064-4-444-2−1+5−1−522-44-2-41−51+51−51+5−1+5−1−5-222-2−1+51−52−1−51+52−1+52−1−521−5−1+5−1+521+5−1−5−1−521−51+51−521+520000000000002i3−2i3−2i32i31−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000
χ1074-4-44-24−1−5−1+5-4-42-2421+51−51+51−5−1−5−1+5-222-21+52−1−51−52−1+51+51−5−1−521+521+5−1+521−521−5−1−52−1+52−1−5−1+50000000023−23−232300001+521−52−1−52−1+52−1−521+52−1+521−520000000000000000−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−ζ4700000000000000000000000000000000
χ1084-4-44-24−1−5−1+5-4-42-2421+51−51+51−5−1−5−1+5-222-21+52−1−51−52−1+51+51−5−1−521+521+5−1+521−521−5−1−52−1+52−1−5−1+500000000−232323−2300001+521−52−1−52−1+52−1−521+52−1+521−520000000000000000ζ11−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+ζ4700000000000000000000000000000000
χ1094-4-44-24−1+5−1−5-4-42-2421−51+51−51+5−1+5−1−5-222-21−52−1+51+52−1−51−51+5−1+521−521−5−1−521+521+5−1+52−1−52−1+5−1−50000000023−23−232300001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000ζ7−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−ζ5900000000000000000000000000000000
χ1104-4-44-24−1+5−1−5-4-42-2421−51+51−51+5−1+5−1−5-222-21−52−1+51+52−1−51−51+5−1+521−521−5−1−521+521+5−1+52−1−52−1+5−1−500000000−232323−2300001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000−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+ζ5900000000000000000000000000000000
χ1114-4-44-2-244222-2-22-4-4-4-4441-1-11-2-2-2-2222-222-2222-2-24-4-4400000000000011-1-1-11-11-222-2-222-2000000000000000000000000001-1-11000000000000000000
χ1124-4-44-2-244222-2-22-4-4-4-4441-1-11-2-2-2-2222-222-2222-2-2-444-400000000000011-1-1-11-112-2-222-2-2200000000000000000000000000-111-1000000000000000000
χ1138888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+2522221+51+51−51−51+51−51+51+51+51−51−51−51+51−51+51−50000000000000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000
χ1148888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−2522221−51−51+51+51−51+51−51−51−51+51+51+51−51+51−51+50000000000000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4−2−25−2+25-44-44442+252−25−2−25−2+252+252−2522-2-21+51+51−51−51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−5−1−5−1+50000000000000000−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4−2+25−2−25-44-44442−252+25−2+25−2−252−252+2522-2-21−51−51+51+51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+5−1+5−1−50000000000000000−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4−2−25−2+254-4444-4−2−25−2+252+252−252+252−252-22-21+51+51−51−5−1−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+50000000000000000−1−52−1+521+521−52−1−521+52−1+521−5200000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4−2+25−2−254-4444-4−2+25−2−252−252+252−252+252-22-21−51−51+51+5−1+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−50000000000000000−1+52−1−521−521+52−1+521−52−1−521+5200000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4−2−25−2+25444-4-442+252−252+252−25−2−25−2+252-2-221+51+51−51−5−1−5−1+5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−50000000000000000−1−52−1+521+521−521+52−1−521−52−1+5200000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4−2+25−2−25444-4-442−252+252−252+25−2+25−2−252-2-221−51−51+51+5−1+5−1−5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+50000000000000000−1+52−1−521−521+521−52−1+521+52−1−5200000000000000000000000000000000000000000000000000000000

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