Finite Group Databasebeta

← Group #13085935

Character table — Group #13085935

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222233334444444444444444444466666666666666666666668888888810101010101012121212121212121212121212121212121218181818181818181818202020202020303030303030303060609090
order12223355666666101010101010444436661515151530303030303030303030303044121212122020202020202020202020202020202015153030303030304412121212121260606060606060606060606060606060221010101010101010121212121212444412121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ711111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1
χ911-1-11111-1-111-1-111-1-1-1-1ii−i−i1-1-1111111111-1-1-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111-1-1i−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-11-111-1-1i−ii−iii−i−ii−i1-1
χ1011-1-11111-1-111-1-111-1-1-1-1ii−i−i1-1-1111111111-1-1-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-1-111i−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1-11-1-111−ii−ii−i−iii−ii-11
χ1111-1-11111-1-111-1-111-1-1-1-1ii−i−i1-1-1111111111-1-1-1-1-1-1-1-1−iiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-111-1-1−iiiiii−i−i−i−i−i−i−i−iiiii-11-1-1-1-111111-111-1-1i−i−iiii−i−i−ii-11
χ1211-1-11111-1-111-1-111-1-1-1-1ii−i−i1-1-1111111111-1-1-1-1-1-1-1-1−iiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11-1-111−iiiiii−i−i−i−i−i−i−i−iiiii-11-1-1-1-11111-11-1-111−iii−i−i−iiii−i1-1
χ1311-1-11111-1-111-1-111-1-1-1-1−i−iii1-1-1111111111-1-1-1-1-1-1-1-1i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-111-1-1i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1-111111-111-1-1−iii−i−i−iiii−i-11
χ1411-1-11111-1-111-1-111-1-1-1-1−i−iii1-1-1111111111-1-1-1-1-1-1-1-1i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11-1-111i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1-11111-11-1-111i−i−iiii−i−i−ii1-1
χ1511-1-11111-1-111-1-111-1-1-1-1−i−iii1-1-1111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-111-1-1−ii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-11-111-1-1−ii−ii−i−iii−ii1-1
χ1611-1-11111-1-111-1-111-1-1-1-1−i−iii1-1-1111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-1-111−ii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1-11-1-111i−ii−iii−i−ii−i-11
χ17222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52000000000000000000
χ18222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ19222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-21+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+52−1−52−1+52−1−52−1−52−1+52−1+52000000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ20222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ21222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52000000000000000000
χ22222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222−1+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+52−1−52−1+52−1+52−1−52−1−52000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ23222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ24222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ2522222-1222-12-1-122222222222-1-1-1-12-12-12-12-12-12-12-12-100-1-1-1-12222222200000000-1-1-1-1-1-1-1-122-1-1-1-100-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12200-1-1-1-10000
χ2622222-1222-12-1-122222222222-1-1-1-12-12-12-12-12-12-12-12-100-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-2-2111100-1-1-1-1-1-1-1-1000000000000000000-2-21111-2-20011110000
χ2722222-1222-12-1-12222222-2-2-2-2-1-1-1-12-12-12-12-12-12-12-12-1001111-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-122-1-1-1-1001111111100000000000000000022-1-1-1-1-2-20011110000
χ2822222-1222-12-1-12222222-2-2-2-2-1-1-1-12-12-12-12-12-12-12-12-1001111-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-211110011111111000000000000000000-2-211112200-1-1-1-10000
χ292222-1222-12-122-12222220000-1-1-1-1-12-12-12-12-12-12-12-122200000000000022222222-1-1-1-1-1-1-1-1222222-1-100000000-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-100220000-1-100
χ302222-1222-12-122-12222220000-1-1-1-1-12-12-12-12-12-12-12-122200000000000022222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-100000000-1-1-1-1-1-1-1-1000000000011111100-2-200001100
χ312222-1222-12-122-12222220000-1-1-1-1-12-12-12-12-12-12-12-12-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222221100000000111111110000000000-1-1-1-1-1-100-2-200001100
χ322222-1222-12-122-12222220000-1-1-1-1-12-12-12-12-12-12-12-12-2-2000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2110000000011111111000000000011111100220000-1-100
χ3322-2-222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−522i2i−2i−2i2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i2i2i−2i−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+ζ47−1−52−1+52−1−52−1+521+521+521−521−520000002i−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+ζ472-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3422-2-222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−522i2i−2i−2i2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i2i2i−2i−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+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−ζ47−1−52−1+52−1−52−1+521+521+521−521−52000000−2i2i−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−ζ47-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3522-2-222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−52−2i−2i2i2i2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i−2i−2i2i2iζ11+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+ζ47−1−52−1+52−1−52−1+521+521+521−521−520000002i−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+ζ47-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3622-2-222−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−52−2i−2i2i2i2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i−2i−2i2i2iζ11+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−ζ47−1−52−1+52−1−52−1+521+521+521−521−52000000−2i2iζ11+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−ζ472-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
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χ1144-4-44-24−1−5−1+5242-4-4-21+51−51+51−5−1−5−1+50000-22-221+52−1−51−52−1+5−1−521+5−1+521−5−1−521+5−1+521−51+52−1−51−52−1+5000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+521−52−1−52−1+52−1−521+52−1+521−520000000000000000−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+ζ580000000000000000000000000000
χ1154-4-44-24−1+5−1−5242-4-4-21−51+51−51+5−1+5−1−50000-22-221−52−1+51+52−1−5−1+521−5−1−521+5−1+521−5−1−521+51−52−1+51+52−1−5000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−521+52−1+52−1−52−1+521−52−1−521+520000000000000000−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−ζ460000000000000000000000000000
χ1164-4-44-24−1+5−1−5242-4-4-21−51+51−51+5−1+5−1−50000-22-221−52−1+51+52−1−5−1+521−5−1−521+5−1+521−5−1−521+51−52−1+51+52−1−500000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−521+52−1+52−1−52−1+521−52−1−521+520000000000000000ζ2+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+ζ460000000000000000000000000000
χ1174-4-44-2-2442-2222-2-4-4-4-44400001-11-1-2-2-2-222222222-2-2-2-2000000000000000000000011-1-1-11-110023−23−2323000000000000000000000000000000−333−3000000000000
χ1184-4-44-2-2442-2222-2-4-4-4-44400001-11-1-2-2-2-222222222-2-2-2-2000000000000000000000011-1-1-11-1100−232323−230000000000000000000000000000003−3−33000000000000
χ1198888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+25000022221+51+51−51−51+51+51−51−51+51+51−51−51+51+51−51−50000000000000000000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000
χ1208888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−25000022221−51−51+51+51−51−51+51+51−51−51+51+51−51−51+51+50000000000000000000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4−2−25−2+2544-4-444−2−25−2+252+252−252+252−2500002-2-221+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+50000000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ12288-8-8-4-4−2+25−2−2544-4-444−2+25−2−252−252+252−252+2500002-2-221−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−50000000000000000000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4−2−25−2+25-4444-442+252−25−2−25−2+252+252−25000022-2-21+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4−2+25−2−25-4444-442−252+25−2+25−2−252−252+25000022-2-21−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000−1+52−1−521−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4−2−25−2+254-4444-42+252−252+252−25−2−25−2+2500002-22-21+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4−2+25−2−254-4444-42−252+252−252+25−2+25−2−2500002-22-21−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000

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