Finite Group Databasebeta

← Group #67149

Character table — Group #67149

Order 360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112222222222222222334444444444444466666666666666151530304545
order12335566101015151515303030304436151515151515303030303030121220202020606060606060606044121222
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51-11111-1-1-1-11111-1-1-1-1i−i1-1111111-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−ii−ii−i1-1
χ61-11111-1-1-1-11111-1-1-1-1i−i1-1111111-1-1-1-1-1-1i−iii−i−iiiii−i−i−i−i−ii−ii-11
χ71-11111-1-1-1-11111-1-1-1-1−ii1-1111111-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiiii−ii−i-11
χ81-11111-1-1-1-11111-1-1-1-1−ii1-1111111-1-1-1-1-1-1−ii−i−iii−i−i−i−iiiii−ii−ii1-1
χ92222−1−52−1+5222−1−52−1+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+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000
χ102222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000
χ112222−1+52−1−5222−1+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+52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000
χ122222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000
χ13222-1222-1222222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-100
χ14222-1222-1222222222200-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-21100
χ1522-1222-1222-1-1-1-1-1-1-1-122-1-12-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-1000000
χ1622-1222-1222-1-1-1-1-1-1-1-1-2-2-1-12-1-12-1-12-1-12-1-111-2-2-2-211111111000000
χ1722-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ5822-1-1−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58-1-1−1−52−1+52−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58000000
χ1822-12−1−52−1+52-12−1−52−1+52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58-2-2-1-1−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ58111+521−521+521−52ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58000000
χ1922-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ3822-1-1−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38-1-1−1−52−1+52−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38000000
χ2022-12−1−52−1+52-12−1−52−1+52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38-2-2-1-1−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ38111+521−521+521−52ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38000000
χ2122-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ3422-1-1−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34-1-1−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34000000
χ2222-12−1+52−1−52-12−1+52−1−52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34-2-2-1-1−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ34111−521+521−521+52ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34000000
χ2322-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ4622-1-1−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46-1-1−1+52−1−52−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46000000
χ2422-12−1+52−1−52-12−1+52−1−52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46-2-2-1-1−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ46111−521+521−521+52ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46000000
χ252-222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−522i−2i2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−522i−2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+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+ζ47000000
χ262-222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i2-2−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521−521−521−52−2i2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−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−ζ47000000
χ272-222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+522i−2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+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+ζ59000000
χ282-222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i2-2−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521+521+521+52−2i2iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−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−ζ59000000
χ292-22-122-21-2-22222-2-2-2-200-11-1-1-1-1-1-1111111000000000000002i−2i−ii00
χ302-22-122-21-2-22222-2-2-2-200-11-1-1-1-1-1-111111100000000000000−2i2ii−i00
χ312-2-12221-2-2-2-1-1-1-111112i−2i-112-1-12-1-1-211-211−ii2i2i−2i−2i−i−i−i−iiiii000000
χ322-2-12221-2-2-2-1-1-1-11111−2i2i-112-1-12-1-1-211-211i−i−2i−2i2i2iiiii−i−i−i−i000000
χ332-2-12−1−52−1+521-21+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ582i−2i-11−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−ii−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19ζ31+ζ59ζ7+ζ23ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47000000
χ342-2-12−1−52−1+521-21+521−52−ζ26−ζ34−ζ14−ζ46−ζ22−ζ38−ζ2−ζ58ζ26+ζ34ζ14+ζ46ζ22+ζ38ζ2+ζ58−2i2i-11−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ581+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58i−iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19ζ31+ζ59ζ7+ζ23ζ43+ζ47000000
χ352-2-12−1−52−1+521-21+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ382i−2i-11−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ381+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−ii−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ31+ζ59ζ11+ζ19ζ43+ζ47ζ7+ζ23−ζ31−ζ59−ζ11−ζ19−ζ43−ζ47−ζ7−ζ23000000
χ362-2-12−1−52−1+521-21+521−52−ζ14−ζ46−ζ26−ζ34−ζ2−ζ58−ζ22−ζ38ζ14+ζ46ζ26+ζ34ζ2+ζ58ζ22+ζ38−2i2i-11−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ381+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38i−iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ31−ζ59−ζ11−ζ19−ζ43−ζ47−ζ7−ζ23ζ31+ζ59ζ11+ζ19ζ43+ζ47ζ7+ζ23000000
χ372-2-12−1+52−1−521-21−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ342i−2i-11−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ341−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−ii−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23ζ43+ζ47ζ31+ζ59ζ11+ζ19−ζ7−ζ23−ζ43−ζ47−ζ31−ζ59−ζ11−ζ19000000
χ382-2-12−1+52−1−521-21−521+52−ζ22−ζ38−ζ2−ζ58−ζ14−ζ46−ζ26−ζ34ζ22+ζ38ζ2+ζ58ζ14+ζ46ζ26+ζ34−2i2i-11−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ341−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34i−iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ31−ζ59−ζ11−ζ19ζ7+ζ23ζ43+ζ47ζ31+ζ59ζ11+ζ19000000
χ392-2-12−1+52−1−521-21−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ462i−2i-11−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ461−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−ii−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ43+ζ47ζ7+ζ23ζ11+ζ19ζ31+ζ59−ζ43−ζ47−ζ7−ζ23−ζ11−ζ19−ζ31−ζ59000000
χ402-2-12−1+52−1−521-21−521+52−ζ2−ζ58−ζ22−ζ38−ζ26−ζ34−ζ14−ζ46ζ2+ζ58ζ22+ζ38ζ26+ζ34ζ14+ζ46−2i2i-11−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ461−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46i−iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ43−ζ47−ζ7−ζ23−ζ11−ζ19−ζ31−ζ59ζ43+ζ47ζ7+ζ23ζ11+ζ19ζ31+ζ59000000
χ41444-2−1−5−1+54-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500-2-21+521+521+521−521−521−521+521+521+521−521−521−5200000000000000000000
χ42444-2−1+5−1−54-2−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500-2-21−521−521−521+521+521+521−521−521−521+521+521+5200000000000000000000
χ4344-2-244-2-244-2-2-2-2-2-2-2-20011-211-211-211-21100000000000000000000
χ4444-2-2−1−5−1+5-2-2−1−5−1+5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ58−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ5800111+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ581+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ5800000000000000000000
χ4544-2-2−1−5−1+5-2-2−1−5−1+5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ38−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ3800111+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ381+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ3800000000000000000000
χ4644-2-2−1+5−1−5-2-2−1+5−1−5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ34−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ3400111−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ341−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ3400000000000000000000
χ4744-2-2−1+5−1−5-2-2−1+5−1−5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ46−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ4600111−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ461−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ4600000000000000000000
χ484-44-2−1−5−1+5-421+51−5−1−5−1−5−1+5−1+51+51+51−51−500-221+521+521+521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+5200000000000000000000
χ494-44-2−1+5−1−5-421−51+5−1+5−1+5−1−5−1−51−51−51+51+500-221−521−521−521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−5200000000000000000000
χ504-4-2-24422-4-4-2-2-2-22222001-1-211-2112-1-12-1-100000000000000000000
χ514-4-2-2−1−5−1+5221+51−5−2ζ26−2ζ34−2ζ14−2ζ46−2ζ22−2ζ38−2ζ2−2ζ582ζ26+2ζ342ζ14+2ζ462ζ22+2ζ382ζ2+2ζ58001-11+52ζ26+ζ34ζ14+ζ461−52ζ22+ζ38ζ2+ζ58−1−52−ζ26−ζ34−ζ14−ζ46−1+52−ζ22−ζ38−ζ2−ζ5800000000000000000000
χ524-4-2-2−1−5−1+5221+51−5−2ζ14−2ζ46−2ζ26−2ζ34−2ζ2−2ζ58−2ζ22−2ζ382ζ14+2ζ462ζ26+2ζ342ζ2+2ζ582ζ22+2ζ38001-11+52ζ14+ζ46ζ26+ζ341−52ζ2+ζ58ζ22+ζ38−1−52−ζ14−ζ46−ζ26−ζ34−1+52−ζ2−ζ58−ζ22−ζ3800000000000000000000
χ534-4-2-2−1+5−1−5221−51+5−2ζ22−2ζ38−2ζ2−2ζ58−2ζ14−2ζ46−2ζ26−2ζ342ζ22+2ζ382ζ2+2ζ582ζ14+2ζ462ζ26+2ζ34001-11−52ζ22+ζ38ζ2+ζ581+52ζ14+ζ46ζ26+ζ34−1+52−ζ22−ζ38−ζ2−ζ58−1−52−ζ14−ζ46−ζ26−ζ3400000000000000000000
χ544-4-2-2−1+5−1−5221−51+5−2ζ2−2ζ58−2ζ22−2ζ38−2ζ26−2ζ34−2ζ14−2ζ462ζ2+2ζ582ζ22+2ζ382ζ26+2ζ342ζ14+2ζ46001-11−52ζ2+ζ58ζ22+ζ381+52ζ26+ζ34ζ14+ζ46−1+52−ζ2−ζ58−ζ22−ζ38−1−52−ζ26−ζ34−ζ14−ζ4600000000000000000000

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