Finite Group Databasebeta

← Group #90994

Character table — Group #90994

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111122222222222222222222222244444444444444446666666666666666666610101010101010101010101030303030
order122222223556666666101010101010101010101010101015153030303030303030303030303030444420202020202020202020202020202020444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i
χ6111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii
χ7111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−iii
χ8111-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiii−i−i
χ911-11-1-11-11111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ1011-11-1-11-11111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ1111-11-1-11-11111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ1211-11-1-11-11111-1-11-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ1311-1-11-1-111111-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111i−i−iiiiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii-111-1
χ1411-1-11-1-111111-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111i−i−iiiiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i1-1-11
χ1511-1-11-1-111111-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii1-1-11
χ1611-1-11-1-111111-1-1-111-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i-111-1
χ17222222222−1−52−1+522222222−1−52−1+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+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+520000000000000000
χ18222222222−1−52−1+522222222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ19222222222−1+52−1−522222222−1+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+52−1−52−1−522222−1+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+52−1−52−1−520000000000000000
χ20222222222−1+52−1−522222222−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ2122222222-122-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-10000
χ2222222222-122-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111111110000
χ23222-2-22-2-22−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ24222-2-22-2-22−1−52−1+52222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ25222-2-22-2-22−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ26222-2-22-2-22−1+52−1−52222-2-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ27222-2-22-2-2-122-1-1-111112222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000002i2i−2i−2i−i−i−i−iiiii0000
χ28222-2-22-2-2-122-1-1-111112222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-11111111100000000000000000000−2i−2i2i2iiiii−i−i−i−i0000
χ2922-22-2-22-22−1−52−1+522-2-22-2-22−1−52−1+521+521−52−1−52−1−52−1+52−1+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+521−521−522i−2i2i−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+ζ470000000000000000
χ3022-22-2-22-22−1−52−1+522-2-22-2-22−1−52−1+521+521−52−1−52−1−52−1+52−1+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+521−521−52−2i2i−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−ζ470000000000000000
χ3122-22-2-22-22−1+52−1−522-2-22-2-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+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+522i−2i2i−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+ζ590000000000000000
χ3222-22-2-22-22−1+52−1−522-2-22-2-22−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+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+52−2i2i−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−ζ590000000000000000
χ3322-22-2-22-2-122-111-111-122-2-22222-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000002-22-2-1-111-1-1110000
χ3422-22-2-22-2-122-111-111-122-2-22222-2-2-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000-22-2211-1-111-1-10000
χ3522-2-22-2-222−1−52−1+522-2-2-222-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+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+522i−2i−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−ζ470000000000000000
χ3622-2-22-2-222−1−52−1+522-2-2-222-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+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+52−2i2i2i−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+ζ470000000000000000
χ3722-2-22-2-222−1+52−1−522-2-2-222-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522i−2i−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−ζ590000000000000000
χ3822-2-22-2-222−1+52−1−522-2-2-222-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−2i2i2i−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+ζ590000000000000000
χ3922-2-22-2-22-122-1111-1-1122-2-2-2-2-2-22222-2-2-1-1-1-111111111-1-1-1-1000000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ4022-2-22-2-22-122-1111-1-1122-2-2-2-2-2-22222-2-2-1-1-1-111111111-1-1-1-100000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ412-2222-2-2-2222-22-222-2-2-2-2222-22-22-22-2-2-222-2-22-22-22-22-22-22-2000000000000000000000000000000000000
χ422-2222-2-2-22−1−52−1+52-22-222-2-21+521−52−1−52−1+52−1−521+52−1+521−52−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−520000−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−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−ζ470000000000000000
χ432-2222-2-2-22−1−52−1+52-22-222-2-21+521−52−1−52−1+52−1−521+52−1+521−52−1−521+52−1+521−521+521−52−1−52−1+521+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−520000ζ11−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+ζ47ζ11−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+ζ470000000000000000
χ442-2222-2-2-22−1+52−1−52-22-222-2-21−521+52−1+52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+520000ζ7−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+ζ59ζ7−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+ζ590000000000000000
χ452-2222-2-2-22−1+52−1−52-22-222-2-21−521+52−1+52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−521+52−1+52−1−521−521+52−1+521−52−1−521+52−1+521−52−1−521+52−1+521−52−1−521+520000−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−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−ζ590000000000000000
χ462-2222-2-2-2-1221-11-1-111-2-2222-22-22-22-2-2-2-1-111-11-11-11-11-11-110000000000000000000000003−33−33−33−30000
χ472-2222-2-2-2-1221-11-1-111-2-2222-22-22-22-2-2-2-1-111-11-11-11-11-11-11000000000000000000000000−33−33−33−330000
χ482-22-2-2-222222-22-2-2-222-2-222-22-22-22-22-2-222-2-22-22-2-22-22-22-22000000000000000000000000000000000000
χ492-22-2-2-2222−1−52−1+52-22-2-2-2221+521−52−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+521−52−1−52−1+521+521−52−1−521+52−1+521−521+52−1−521−52−1+521+52−1−521−52−1+520000−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−ζ47ζ11−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+ζ470000000000000000
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χ542-22-2-2-222-1221-1111-1-1-2-222-22-22-22-22-2-2-1-111-11-111-11-11-11-1000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
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χ562-2-22-22-222−1−52−1+52-2-222-22-21+521−521+521−52−1−521+52−1+521−521+52−1−521−52−1+52−1−52−1+52−1−52−1+521+521−521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+520000−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+ζ58−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+ζ580000000000000000
χ572-2-22-22-222−1−52−1+52-2-222-22-21+521−521+521−52−1−521+52−1+521−521+52−1−521−52−1+52−1−52−1+52−1−52−1+521+521−521+52−1−521−52−1+52−1−521+52−1+521−521+52−1−521−52−1+520000ζ14−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−ζ58ζ14−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−ζ580000000000000000
χ582-2-22-22-222−1+52−1−52-2-222-22-21−521+521−521+52−1+521−52−1−521+521−52−1+521+52−1−52−1+52−1−52−1+52−1−521−521+521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−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+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000000000
χ592-2-22-22-222−1+52−1−52-2-222-22-21−521+521−521+52−1+521−52−1−521+521−52−1+521+52−1−52−1+52−1−52−1+52−1−521−521+521−52−1+521+52−1−52−1+521−52−1−521+521−52−1+521+52−1−520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−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−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000000000
χ602-2-22-22-22-12211-1-11-11-2-2-2-22-22-2-22-2222-1-1111-11-1-11-111-11-10000000000000000000000003−3−333−3−330000
χ612-2-22-22-22-12211-1-11-11-2-2-2-22-22-2-22-2222-1-1111-11-1-11-111-11-1000000000000000000000000−333−3−333−30000
χ622-2-2-2222-2222-2-22-22-22-2-2-2-2-22-222-22-22222-2-2-22-22-22-222-22-2000000000000000000000000000000000000
χ632-2-2-2222-22−1−52−1+52-2-22-22-221+521−521+521−521+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1+52−1−52−1+521+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−520000−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+ζ58ζ14−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−ζ580000000000000000
χ642-2-2-2222-22−1−52−1+52-2-22-22-221+521−521+521−521+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1+52−1−52−1+521+521−521+52−1−521−52−1+521+52−1−521−52−1+52−1−521+52−1+521−520000ζ14−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−ζ58−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+ζ580000000000000000
χ652-2-2-2222-22−1+52−1−52-2-22-22-221−521+521−521+521−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1−52−1+52−1−521−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000000000
χ662-2-2-2222-22−1+52−1−52-2-22-22-221−521+521−521+521−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1−52−1+52−1−521−521+521−52−1+521+52−1−521−52−1+521+52−1−52−1+521−52−1−521+520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000000000
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χ682-2-2-2222-2-12211-11-11-1-2-2-2-2-22-222-22-222-1-1111-11-11-11-1-11-11000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ6944444444-2−1−5−1+5-2-2-2-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000000000000000
χ7044444444-2−1+5−1−5-2-2-2-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000000000000000000000
χ71444-4-44-4-4-2−1−5−1+5-2-2-22222−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1+51+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ72444-4-44-4-4-2−1+5−1−5-2-2-22222−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1−51−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ7344-44-4-44-4-2−1−5−1+5-222-222-2−1−5−1+51+51−5−1−5−1−5−1+5−1+51+51+51−51−51+51−51+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ7444-44-4-44-4-2−1+5−1−5-222-222-2−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51−51+51+51−51+51−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ7544-4-44-4-44-2−1−5−1+5-2222-2-22−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+51+51−51+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000000
χ7644-4-44-4-44-2−1+5−1−5-2222-2-22−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−51−51+51−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000000
χ774-4444-4-4-4-2−1−5−1+52-22-2-2221+51−5−1−5−1+5−1−51+5−1+51−5−1−51+5−1+51−51+51−51+521−52−1−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−52−1+52000000000000000000000000000000000000
χ784-4444-4-4-4-2−1+5−1−52-22-2-2221−51+5−1+5−1−5−1+51−5−1−51+5−1+51−5−1−51+51−51+51−521+52−1+52−1−521−52−1+521+52−1−521−52−1+521+52−1−521−52−1+521+52−1−52000000000000000000000000000000000000
χ794-44-4-4-444-2−1−5−1+52-2222-2-21+51−5−1−5−1+51+5−1−51−5−1+51+5−1−51−5−1+51+51−51+521−52−1−52−1+521+52−1−521−52−1+52−1−521+52−1+521−52−1−521+52−1+521−52000000000000000000000000000000000000
χ804-44-4-4-444-2−1+5−1−52-2222-2-21−51+5−1+5−1−51−5−1+51+5−1−51−5−1+51+5−1−51−51+51−521+52−1+52−1−521−52−1+521+52−1−52−1+521−52−1−521+52−1+521−52−1−521+52000000000000000000000000000000000000
χ814-4-44-44-44-2−1−5−1+522-2-22-221+51−51+51−5−1−51+5−1+51−51+5−1−51−5−1+5−1−5−1+51+521−52−1−52−1+52−1−521+52−1+521−521+52−1−521−52−1+52−1−521+52−1+521−52000000000000000000000000000000000000
χ824-4-44-44-44-2−1+5−1−522-2-22-221−51+51−51+5−1+51−5−1−51+51−5−1+51+5−1−5−1+5−1−51−521+52−1+52−1−52−1+521−52−1−521+521−52−1+521+52−1−52−1+521−52−1−521+52000000000000000000000000000000000000
χ834-4-4-4444-4-2−1−5−1+522-22-22-21+51−51+51−51+5−1−51−5−1+5−1−51+5−1+51−5−1−5−1+51+521−52−1−52−1+52−1−521+52−1+521−52−1−521+52−1+521−521+52−1−521−52−1+52000000000000000000000000000000000000
χ844-4-4-4444-4-2−1+5−1−522-22-22-21−51+51−51+51−5−1+51+5−1−5−1+51−5−1−51+5−1+5−1−51−521+52−1+52−1−52−1+521−52−1−521+52−1+521−52−1−521+521−52−1+521+52−1−52000000000000000000000000000000000000

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