Finite Group Databasebeta

← Group #14284296

Character table — Group #14284296

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222222244444444444444444444488888888888888888121212121616161616161616161616161616202020202424242424242424242424242424242424243030303030304040404040404040404060120120
order122234444556661010101010104121212121515202020202020202030303030303024122020606060606060606060606060888861010122020303030306060606088888840404040404040404040404040404040224444882424242424242424444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1
χ611111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111
χ711111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ811111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-1-1
χ911111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1111-1-1-1-1-1-1-1-11111ii−i−i111-1-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1i−iii−i−iii−i−i11-1
χ1011111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1111-1-1-1-1-1-1-1-11111ii−i−i111-1-1-11111-1-1-1-1−i−iiii−iiiii−i−i−i−iiiii−i−i−i−i-1-11111−ii−i−iii−i−iii-1-11
χ1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1111-1-1-1-1-1-1-1-11111−i−iii111-1-1-11111-1-1-1-1ii−i−i−ii−i−i−i−iiiii−i−i−i−iiiii-1-11111i−iii−i−iii−i−i-1-11
χ1211111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1111-1-1-1-1-1-1-1-11111−i−iii111-1-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1−ii−i−iii−i−iii11-1
χ1311111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111ii−i−i-1-1-1111-1-1-1-11111ii−i−i−iiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1−iiii−i−i−i−iii1-11
χ1411111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111ii−i−i-1-1-1111-1-1-1-11111−i−iii−iiiiii−i−i−i−i−i−i−i−iiiii-1-11111i−i−i−iiiii−i−i-11-1
χ1511111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111−i−iii-1-1-1111-1-1-1-11111ii−i−ii−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111−iiii−i−i−i−iii-11-1
χ1611111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11111−i−iii-1-1-1111-1-1-1-11111−i−iiii−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1i−i−i−iiiii−i−i1-11
χ17222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+522−1−52−1+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+52−1−52−1−52−1+52−1+520000000000000000000
χ18222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+522−1−52−1+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+521−521−521+521+521−521−520000000000000000000
χ19222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+52-2-22−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222-21+521−52-21+521−521+521+521−521−521+521+521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000
χ20222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+52-2-22−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521−52-21+521−521+521+521−521−521+521+521−521−520000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000
χ21222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−522−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000
χ22222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−522−1+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+521−521−521+521+520000000000000000000
χ23222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52-2-22−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222-21−521+52-21−521+521−521−521+521+521−521−521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000
χ24222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52-2-22−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-21−521+52-21−521+521−521−521+521+521−521−521+521+520000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000
χ252222222-2-222222222222-222-2-22222-2-222-2-222222200-2-2-222-2-222-2-2-2-2-2-200000000000000000000000000000000000000002222-2-20000000000-200
χ262222222-2-222222222222-222-2-22222-2-222-2-222222200-2-2-222-2-222-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-2220000000000200
χ2722222-2-22222222222222-2-2-22222-2-222-2-22222222200-2-2-2-2-222-2-222-2-2-2-2000000000000000000000000000000000000000022-2-2220000000000-200
χ2822222-2-22222222222222-2-2-22222-2-222-2-22222222200-2-2-2-2-222-2-222-2-2-2-20000000000000000000000000000000000000000-2-222-2-20000000000200
χ2922222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-22−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522i2i−2i−2i2−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200002i−2i−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−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+ζ470000000000000000000
χ3022222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+522-22−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−2i−2i2i2i2−1−52−1+52-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000−2i2iζ11+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−ζ47ζ11+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−ζ470000000000000000000
χ3122222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522i2i−2i−2i-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000−2i2i−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+ζ47ζ11+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−ζ470000000000000000000
χ3222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−2i−2i2i2i-21+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002i−2iζ11+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−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+ζ470000000000000000000
χ3322222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522i2i−2i−2i2−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002i−2i−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−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+ζ590000000000000000000
χ3422222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−522-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−2i−2i2i2i2−1+52−1−52-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000−2i2iζ7+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−ζ59ζ7+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−ζ590000000000000000000
χ3522222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522i2i−2i−2i-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−2i2i−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+ζ59ζ7+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−ζ590000000000000000000
χ3622222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−2i−2i2i2i-21−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002i−2iζ7+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−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+ζ590000000000000000000
χ372222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000-122-122-1-1-1-1-1-1-1-1222200000000000000000000000022-1-1-1-1-1-1-1-1000
χ382222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000-122-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000000000-2-211111111000
χ392222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-100001-2-21-2-2111111112222000000000000000000000000-2-2-1-1-1-11111000
χ402222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-1-2-2-122-1-1-1-1-1-1-1-1-1-1-1-100001-2-21-2-211111111-2-2-2-2000000000000000000000000221111-1-1-1-1000
χ412222-1-2-2-2-222-1-1-122222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-12-2-12211111111-1-1-1-10000-1221-2-2-1-1-1-111112i2i−2i−2i0000000000000000000000002i−2i−i−iii−i−iii000
χ422222-1-2-2-2-222-1-1-122222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-12-2-12211111111-1-1-1-10000-1221-2-2-1-1-1-11111−2i−2i2i2i000000000000000000000000−2i2iii−i−iii−i−i000
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χ1118-88-8-4008i−8i−2+25−2−25-444−2+252−25−2−252+252−252+25000−4i4i1−51+500−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ4700−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ591−5−1+51+5−1−5−1+5−1−500000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-400−8i8i−2−25−2+25-444−2−252+25−2+252−252+252−250004i−4i1+51−5004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ471+5−1−51−5−1+5−1−5−1+50000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-400−8i8i−2+25−2−25-444−2+252−25−2−252+252−252+250004i−4i1−51+5004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ591−5−1+51+5−1−5−1+5−1−50000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48i−8i00−2−25−2+254-442+25−2−252−25−2+252+252−250−4i4i001+51−5−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ5900−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ4700−1−51+5−1+51−5−1−5−1+5000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48i−8i00−2+25−2−254-442−25−2+252+25−2−252−252+250−4i4i001−51+5−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ4700−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ5900−1+51−5−1−51+5−1+5−1−5000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4−8i8i00−2−25−2+254-442+25−2−252−25−2+252+252−2504i−4i001+51−54ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ4700−1−51+5−1+51−5−1−5−1+500000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4−8i8i00−2+25−2−254-442−25−2+252+25−2−252−252+2504i−4i001−51+54ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ5900−1+51−5−1−51+5−1+5−1−500000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000

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