Finite Group Databasebeta

← Group #13088700

Character table — Group #13088700

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222223344444444444444444556666688888888888810101010101010121212121212121212121212151520202020203030303030303030306060606090909090
order123346612124435610121212151520203030606060604426612121515153030306060606060602661212121210102020303030306060606022666121246688881212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1ii−i−iii−i−i
χ41111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−iii−i−iii
χ5111111111-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-11111-1-1-1-1
χ6111111111-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111ii−i−i11ii−i−i−i−iii
χ8111111111-1-111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111−i−iii11−i−iiiii−i−i
χ91111-111-1-1111111-1-1-111-1-111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-111-1111-11-1-1-11-11-11-11-1
χ101111-111-1-1111111-1-1-111-1-111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-111-111-11-11-1-1-11-11-11-11
χ111111-111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-11-1-1i−i−ii11i−i−iii−i−ii
χ121111-111-1-1111111-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-11-1-1−iii−i11−iii−i−iii−i
χ131111-111-1-1-1-11111-1-1-111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1111-1-11-11-1111-11-1-11-11
χ141111-111-1-1-1-11111-1-1-111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-11-1111-11-111-11-1
χ151111-111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111111-1-1-111i−i−ii-1-1i−i−ii−iii−i
χ161111-111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111111-1-1-111−iii−i-1-1−iii−ii−i−ii
χ17222-122-1-1-122-12-122-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-12-1-10000-1-100000000
χ18222-122-1-1-122-12-122-1-1-1-122-1-1-1-1-1-1-2-22-1-1-1-12-1-12-1-122-1-1-1-1-21111-2-22222-1-1-1-1-1-1-1-1-2-2-21111-21100001100000000
χ19222-122-1-1-1-2-2-12-122-1-1-1-122-1-1-1-1-1-122-211112-1-12-1-122-1-1-1-12-1-1-1-122-2-2-2-211111111-2-22-1-1-1-1-21100001100000000
χ20222-122-1-1-1-2-2-12-122-1-1-1-122-1-1-1-1-1-1-2-2-211112-1-12-1-122-1-1-1-1-21111-2-2-2-2-2-21111111122-211112-1-10000-1-100000000
χ21222-1-22-11122-12-12-211-1-1-2-2-1-1111122-211-1-12-1-12-1-1-2-21111-211-1-122-2-2221111-1-1-1-122-211-1-1-2-1-100001100000000
χ22222-1-22-11122-12-12-211-1-1-2-2-1-11111-2-2-211-1-12-1-12-1-1-2-211112-1-111-2-2-2-2221111-1-1-1-1-2-22-1-1112110000-1-100000000
χ23222-1-22-111-2-2-12-12-211-1-1-2-2-1-11111222-1-1112-1-12-1-1-2-21111-211-1-12222-2-2-1-1-1-11111-2-2-211-1-12110000-1-100000000
χ24222-1-22-111-2-2-12-12-211-1-1-2-2-1-11111-2-22-1-1112-1-12-1-1-2-211112-1-111-2-222-2-2-1-1-1-11111222-1-111-2-1-100001100000000
χ2522-122-122200-12-12-1-1-122222222222200000-1-1-1-1-1-1-1-1-1-1-1-122222-1-100000000000000-1-1-1-1-1000222200-1-1-1-10000
χ2622-122-122200-12-12-1-1-122222222222200000-1-1-1-1-1-1-1-1-1-1-1-122222-1-100000000000000-1-1-1-1-1000-2-2-2-20011110000
χ2722-122-122200-12-12-1-1-12222222222-2-200000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21100000000000000111110002i2i−2i−2i00−i−iii0000
χ2822-122-122200-12-12-1-1-12222222222-2-200000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2110000000000000011111000−2i−2i2i2i00ii−i−i0000
χ2922-12-2-12-2-200-12-1211122-2-222-2-2-2-22200000-1-1-1-1-1-1111111-2-2-222-1-100000000000000111-1-10002-22-200-11-110000
χ3022-12-2-12-2-200-12-1211122-2-222-2-2-2-22200000-1-1-1-1-1-1111111-2-2-222-1-100000000000000111-1-1000-22-22001-11-10000
χ3122-12-2-12-2-200-12-1211122-2-222-2-2-2-2-2-200000-1-1-1-1-1-1111111222-2-21100000000000000-1-1-1110002i−2i−2i2i00−iii−i0000
χ3222-12-2-12-2-200-12-1211122-2-222-2-2-2-2-2-200000-1-1-1-1-1-1111111222-2-21100000000000000-1-1-111000−2i2i2i−2i00i−i−ii0000
χ332-2220-2-2002i−2i22-2-20002200-2-200002i−2i0002i−2i222-2-2-20000000002i−2i2i−2i002i−2i00002i2i−2i−2i2-20002i−2i02-200000000000000
χ342-2220-2-2002i−2i22-2-20002200-2-20000−2i2i0002i−2i222-2-2-2000000000−2i2i−2i2i002i−2i00002i2i−2i−2i-22000−2i2i0-2200000000000000
χ352-2220-2-200−2i2i22-2-20002200-2-200002i−2i000−2i2i222-2-2-20000000002i−2i2i−2i00−2i2i0000−2i−2i2i2i-220002i−2i0-2200000000000000
χ362-2220-2-200−2i2i22-2-20002200-2-20000−2i2i000−2i2i222-2-2-2000000000−2i2i−2i2i00−2i2i0000−2i−2i2i2i2-2000−2i2i02-200000000000000
χ372-22-10-213−32i−2i-121-203−3-1-1001133−3−32i−2i0−i3i3−ii2-1-1-2110033−3−30−i3i3−ii2i−2i002i−2i−i3−i3i3i3−i−iii2-20−i3i3−ii0-1100003−300000000
χ382-22-10-213−32i−2i-121-203−3-1-1001133−3−3−2i2i0−i3i3−ii2-1-1-2110033−3−30i3−i3i−i−2i2i002i−2i−i3−i3i3i3−i−iii-220i3−i3i−i01-10000−3300000000
χ392-22-10-213−3−2i2i-121-203−3-1-1001133−3−32i−2i0i3−i3i−i2-1-1-2110033−3−30−i3i3−ii2i−2i00−2i2ii3i3−i3−i3ii−i−i-220−i3i3−ii01-10000−3300000000
χ402-22-10-213−3−2i2i-121-203−3-1-1001133−3−3−2i2i0i3−i3i−i2-1-1-2110033−3−30i3−i3i−i−2i2i00−2i2ii3i3−i3−i3ii−i−i2-20i3−i3i−i0-1100003−300000000
χ412-22-10-21−332i−2i-121-20−33-1-10011−3−3332i−2i0i3−i3−ii2-1-1-21100−3−3330i3−i3−ii2i−2i002i−2ii3i3−i3−i3−i−iii2-20i3−i3−ii0-110000−3300000000
χ422-22-10-21−332i−2i-121-20−33-1-10011−3−333−2i2i0i3−i3−ii2-1-1-21100−3−3330−i3i3i−i−2i2i002i−2ii3i3−i3−i3−i−iii-220−i3i3i−i01-100003−300000000
χ432-22-10-21−33−2i2i-121-20−33-1-10011−3−3332i−2i0−i3i3i−i2-1-1-21100−3−3330i3−i3−ii2i−2i00−2i2i−i3−i3i3i3ii−i−i-220i3−i3−ii01-100003−300000000
χ442-22-10-21−33−2i2i-121-20−33-1-10011−3−333−2i2i0−i3i3i−i2-1-1-21100−3−3330−i3i3i−i−2i2i00−2i2i−i3−i3i3i3ii−i−i2-20−i3i3i−i0-110000−3300000000
χ45444444444444-14-1444-1-1-1-1-1-1-1-1-1-10044444-1-1-1-1-1-1-1-1-1-1-1-10000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ46444444444-4-44-14-1444-1-1-1-1-1-1-1-1-1-100-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-10000000111111111111000000000000000000000000
χ474444-444-4-4444-14-1-4-4-4-1-111-1-1111100-4-4-444-1-1-1-1-1-1111111000000011-1-11111-1-1-1-1000000000000000000000000
χ484444-444-4-4-4-44-14-1-4-4-4-1-111-1-1111100444-4-4-1-1-1-1-1-11111110000000-1-111-1-1-1-11111000000000000000000000000
χ49444-244-2-2-244-2-1-2-14-2-21−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i152004-2-2-2-2-11−i1521+i152-11−i1521+i152-1-11−i1521+i1521−i1521+i1520000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000
χ50444-244-2-2-244-2-1-2-14-2-21+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i152004-2-2-2-2-11+i1521−i152-11+i1521−i152-1-11+i1521−i1521+i1521−i1520000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000
χ51444-244-2-2-2-4-4-2-1-2-14-2-21−i1521+i152-1-11−i1521+i1521−i1521+i1521−i1521+i15200-42222-11−i1521+i152-11−i1521+i152-1-11−i1521+i1521−i1521+i15200000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000
χ52444-244-2-2-2-4-4-2-1-2-14-2-21+i1521−i152-1-11+i1521−i1521+i1521−i1521+i1521−i15200-42222-11+i1521−i152-11+i1521−i152-1-11+i1521−i1521+i1521−i15200000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000
χ53444-2-44-22244-2-1-2-1-4221−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i15200-422-2-2-11−i1521+i152-11−i1521+i15211−1+i152−1−i152−1+i152−1−i152000000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000000000000
χ54444-2-44-22244-2-1-2-1-4221+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i15200-422-2-2-11+i1521−i152-11+i1521−i15211−1−i152−1+i152−1−i152−1+i152000000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i152000000000000000000000000
χ55444-2-44-222-4-4-2-1-2-1-4221−i1521+i152111−i1521+i152−1+i152−1−i152−1+i152−1−i152004-2-222-11−i1521+i152-11−i1521+i15211−1+i152−1−i152−1+i152−1−i1520000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000
χ56444-2-44-222-4-4-2-1-2-1-4221+i1521−i152111+i1521−i152−1−i152−1+i152−1−i152−1+i152004-2-222-11+i1521−i152-11+i1521−i15211−1−i152−1+i152−1−i152−1+i1520000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000
χ5744-2-24-2-2-2-2001414-211-2-244-2-2-2-2-2-24400000-211-211-2-211114-2-2-2-2-2-200000000000000-2111100000000000000000
χ5844-2-24-2-2-2-2001414-211-2-244-2-2-2-2-2-2-4-400000-211-211-2-21111-4222222000000000000002-1-1-1-100000000000000000
χ5944-2-2-4-2-2220014142-1-1-2-2-4-4-2-222224400000-211-21122-1-1-1-1-422-2-2-2-2000000000000002-1-11100000000000000000
χ6044-2-2-4-2-2220014142-1-1-2-2-4-4-2-22222-4-400000-211-21122-1-1-1-14-2-2222200000000000000-211-1-100000000000000000
χ614-4440-4-4004i−4i4-1-41000-1-1−i5i511−i5i5i5−i5000004i−4i-1-1-1111−i5i5−i5i5i5−i50000000−55−ii−555−5−i−iii000000000000000000000000
χ624-4440-4-4004i−4i4-1-41000-1-1i5−i511i5−i5−i5i5000004i−4i-1-1-1111i5−i5i5−i5−i5i500000005−5−ii5−5−55−i−iii000000000000000000000000
χ634-4440-4-400−4i4i4-1-41000-1-1−i5i511−i5i5i5−i500000−4i4i-1-1-1111−i5i5−i5i5i5−i500000005−5i−i5−5−55ii−i−i000000000000000000000000
χ644-4440-4-400−4i4i4-1-41000-1-1i5−i511i5−i5−i5i500000−4i4i-1-1-1111i5−i5i5−i5−i5i50000000−55i−i−555−5ii−i−i000000000000000000000000
χ654-44-20-4223−234i−4i-2-121023−231−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000−2i32i3−2i2i-11−i1521+i1521−1+i152−1−i152i5−i5ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ4700000005−5−iiζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47000000000000000000000000
χ664-44-20-4223−234i−4i-2-121023−231+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000−2i32i3−2i2i-11+i1521−i1521−1−i152−1+i152−i5i5ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ590000000−55−iiζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59000000000000000000000000
χ674-44-20-4223−23−4i4i-2-121023−231−i1521+i152i5−i5−1+i152−1−i152ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ470002i3−2i32i−2i-11−i1521+i1521−1+i152−1−i152i5−i5ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ470000000−55i−i−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47000000000000000000000000
χ684-44-20-4223−23−4i4i-2-121023−231+i1521−i152−i5i5−1−i152−1+i152ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ590002i3−2i32i−2i-11+i1521−i1521−1−i152−1+i152−i5i5ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ5900000005−5i−i−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59000000000000000000000000
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χ724-44-20-42−2323−4i4i-2-1210−23231+i1521−i152i5−i5−1−i152−1+i152−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000−2i32i32i−2i-11+i1521−i1521−1−i152−1+i152i5−i5−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ590000000−55i−iζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59000000000000000000000000
χ734-4-2402-40000-242-40004400-4-400004i−4i00000-2-2-22220000000004i−4i−2i2i00000000000000000−2i2i00000000000000000
χ744-4-2402-40000-242-40004400-4-40000−4i4i00000-2-2-2222000000000−4i4i2i−2i000000000000000002i−2i00000000000000000
χ754-4-2-202223−230014-1-40−33-2-200222323−23−234i−4i00000-2112-1-100−3−3330−2i32i3−2i2i−2i2i000000000000000i3−i3i−i00000000000000000
χ764-4-2-202223−230014-1-40−33-2-200222323−23−23−4i4i00000-2112-1-100−3−33302i3−2i32i−2i2i−2i000000000000000−i3i3−ii00000000000000000
χ774-4-2-2022−23230014-1-403−3-2-20022−23−2323234i−4i00000-2112-1-10033−3−302i3−2i3−2i2i−2i2i000000000000000−i3i3i−i00000000000000000
χ784-4-2-2022−23230014-1-403−3-2-20022−23−232323−4i4i00000-2112-1-10033−3−30−2i32i32i−2i2i−2i000000000000000i3−i3−ii00000000000000000
χ7988-488-488800-4-2-4-2-4-4-4-2-2-2-2-2-2-2-2-2-200000001111111111110000000000000000000000000000000000000000000
χ8088-48-8-48-8-800-4-2-4-2444-2-222-2-222220000000111111-1-1-1-1-1-10000000000000000000000000000000000000000000
χ8188-4-48-4-4-4-4002-22-2-4221−i151+i15-2-21−i151+i151−i151+i151−i151+i1500000001−1+i152−1−i1521−1+i152−1−i15211−1+i152−1−i152−1+i152−1−i1520000000000000000000000000000000000000000000
χ8288-4-48-4-4-4-4002-22-2-4221+i151−i15-2-21+i151−i151+i151−i151+i151−i1500000001−1−i152−1+i1521−1−i152−1+i15211−1−i152−1+i152−1−i152−1+i1520000000000000000000000000000000000000000000
χ8388-4-4-8-4-444002-22-24-2-21−i151+i15221−i151+i15−1+i15−1−i15−1+i15−1−i1500000001−1+i152−1−i1521−1+i152−1−i152-1-11−i1521+i1521−i1521+i1520000000000000000000000000000000000000000000
χ8488-4-4-8-4-444002-22-24-2-21+i151−i15221+i151−i15−1−i15−1+i15−1−i15−1+i1500000001−1−i152−1+i1521−1−i152−1+i152-1-11+i1521−i1521+i1521−i1520000000000000000000000000000000000000000000
χ858-8-4804-80000-4-242000-2-2−2i52i522−2i52i52i5−2i50000000111-1-1-1i5−i5i5−i5−i5i50000000000000000000000000000000000000000000
χ868-8-4804-80000-4-242000-2-22i5−2i5222i5−2i5−2i52i50000000111-1-1-1−i5i5−i5i5i5−i50000000000000000000000000000000000000000000
χ878-8-4-404443−43002-2-220−23231−i151+i152i5−2i5−1+i15−1−i152ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ4700000001−1+i152−1−i152-11−i1521+i152−i5i5−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ470000000000000000000000000000000000000000000
χ888-8-4-404443−43002-2-220−23231+i151−i15−2i52i5−1−i15−1+i152ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ5900000001−1−i152−1+i152-11+i1521−i152i5−i5−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ590000000000000000000000000000000000000000000
χ898-8-4-4044−4343002-2-22023−231−i151+i15−2i52i5−1+i15−1−i15−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ4700000001−1+i152−1−i152-11−i1521+i152i5−i5ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ470000000000000000000000000000000000000000000
χ908-8-4-4044−4343002-2-22023−231+i151−i152i5−2i5−1−i15−1+i15−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ5900000001−1−i152−1+i152-11+i1521−i152−i5i5ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ590000000000000000000000000000000000000000000

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