Finite Group Databasebeta

← Group #14313150

Character table — Group #14313150

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222444444444444444444444445588888888888888888888888101010101016161616161616161616161620202020202020202020204040404040120120120120120120120120
order122366622444566101010121212121515303030303030444610101212122020202030303030606060606060606041212121210202020303060606060606022244666612124612121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ51111111111-1-1111111-1-1-1-11111111111-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-1-1111-1-1-1-111-11-1-111111-1-1-1-1
χ61111111111-1-1111111-1-1-1-11111111111-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111-1-1111-1-1-1-111-11-1-11-1-1-1-11111
χ71111111111-1-1111111-1-1-1-111111111-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-11111-1-11-111-1ii−i−i−i−iii
χ81111111111-1-1111111-1-1-1-111111111-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-11111-1-11-111-1−i−iiiii−i−i
χ911111111-1-11111111111111111111111-1-111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111-1-1-1-1-1i−ii−ii−ii−i
χ1011111111-1-11111111111111111111111-1-111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1111111-1-1-1-1-1−ii−ii−ii−ii
χ1111111111-1-111111111111111111111-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-1-11
χ1211111111-1-111111111111111111111-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-111-1-111-1
χ1311111111-1-1-1-1111111-1-1-1-111111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-11111-1-1-1-1-11-1-1-1-1-1111-111-1i−ii−i−ii−ii
χ1411111111-1-1-1-1111111-1-1-1-111111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-11111-1-1-1-1-11-1-1-1-1-1111-111-1−ii−iii−ii−i
χ1511111111-1-1-1-1111111-1-1-1-111111111-1-11-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111-111111-1-1-11-1-111-1-11-111-1
χ1611111111-1-1-1-1111111-1-1-1-111111111-1-11-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111-111111-1-1-11-1-11-111-11-1-11
χ172222222-22-2002-2-22220000222222222202-2-200-20000-2-2-2-20000000022222200-2220000-2-200-2-220000-2-20-200200000000
χ182222222-22-2002-2-2222000022222222-2-202-2-200-20000-2-2-2-200000000-2-2-2-2-2200-2220000-2-20022-20000220200-200000000
χ192222222-2-22002-2-2222000022222222220-2-2-20020000-2-2-2-20000000022222-2002-2-2000022002-2-20000-2-20200-200000000
χ202222222-2-22002-2-2222000022222222-2-20-2-2-20020000-2-2-2-200000000-2-2-2-2-2-2002-2-200002200-2220000220-200200000000
χ21222-1-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-100000000
χ22222-1-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-22-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-211112222-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2111100000000
χ23222-1-1-1-1222-2-22-1-12221111-1-1-1-1-1-1-1-122-2-12211-1-2-2-2-2-1-1-1-1111111112-1-1-1-12-2-22-1-11111-1-1-2-22221111-1-1-2-111-100000000
χ24222-1-1-1-1222-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-12211-1-2-2-2-2-1-1-1-111111111-211112-2-22-1-11111-1-122-2-2-2-1-1-1-11121-1-1100000000
χ25222-1-1-1-12-2-2222-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-21221112222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111111122-22-2-1-1-1-1-1-1-2111100000000
χ26222-1-1-1-12-2-2222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21221112222-1-1-1-1-1-1-1-1-1-1-1-1-21111-2-2-2-211111111-2-22-221111112-1-1-1-100000000
χ27222-1-1-1-12-2-2-2-22-1-12221111-1-1-1-1-1-1-1-1222122-1-11-2-2-2-2-1-1-1-1111111112-1-1-1-1-222-211-1-1-1-111-2-2-22-21111-1-121-1-1100000000
χ28222-1-1-1-12-2-2-2-22-1-12221111-1-1-1-1-1-1-1-1-2-22122-1-11-2-2-2-2-1-1-1-111111111-21111-222-211-1-1-1-111222-22-1-1-1-111-2-111-100000000
χ29222-1-1-1-1-22-200211222−i3−i3i3i3-1-1-1-1-1-1-1-1220-1-2-2−i3i3100001111−i3−i3−i3−i3i3i3i3i32-1-1-1-1200-2-1-1−i3−i3i3i31100-2-22−i3−i3i3i31101−i3i3-100000000
χ30222-1-1-1-1-22-200211222−i3−i3i3i3-1-1-1-1-1-1-1-1-2-20-1-2-2−i3i3100001111−i3−i3−i3−i3i3i3i3i3-21111200-2-1-1−i3−i3i3i3110022-2i3i3−i3−i3-1-10-1i3−i3100000000
χ31222-1-1-1-1-22-200211222i3i3−i3−i3-1-1-1-1-1-1-1-1220-1-2-2i3−i3100001111i3i3i3i3−i3−i3−i3−i32-1-1-1-1200-2-1-1i3i3−i3−i31100-2-22i3i3−i3−i31101i3−i3-100000000
χ32222-1-1-1-1-22-200211222i3i3−i3−i3-1-1-1-1-1-1-1-1-2-20-1-2-2i3−i3100001111i3i3i3i3−i3−i3−i3−i3-21111200-2-1-1i3i3−i3−i3110022-2−i3−i3i3i3-1-10-1−i3i3100000000
χ33222-1-1-1-1-2-2200211222−i3−i3i3i3-1-1-1-1-1-1-1-12201-2-2i3−i3-100001111−i3−i3−i3−i3i3i3i3i32-1-1-1-1-200211i3i3−i3−i3-1-1002-2-2−i3−i3i3i3110-1i3−i3100000000
χ34222-1-1-1-1-2-2200211222−i3−i3i3i3-1-1-1-1-1-1-1-1-2-201-2-2i3−i3-100001111−i3−i3−i3−i3i3i3i3i3-21111-200211i3i3−i3−i3-1-100-222i3i3−i3−i3-1-101−i3i3-100000000
χ35222-1-1-1-1-2-2200211222i3i3−i3−i3-1-1-1-1-1-1-1-12201-2-2−i3i3-100001111i3i3i3i3−i3−i3−i3−i32-1-1-1-1-200211−i3−i3i3i3-1-1002-2-2i3i3−i3−i3110-1−i3i3100000000
χ36222-1-1-1-1-2-2200211222i3i3−i3−i3-1-1-1-1-1-1-1-1-2-201-2-2−i3i3-100001111i3i3i3i3−i3−i3−i3−i3-21111-200211−i3−i3i3i3-1-100-222−i3−i3i3i3-1-101i3−i3-100000000
χ37444444444444-144-1-1-14444-1-1-1-1-1-1-1-10044-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ384444444444-4-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100-44-1-1-4-441111-1-1-1-11111111100000-111-1-1-11111-1-1000000000000000000000000
χ3944444444-4-444-144-1-1-14444-1-1-1-1-1-1-1-100-4-4-1-1-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000111111111111000000000000000000000000
χ4044444444-4-4-4-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1004-4-1-144-41111-1-1-1-111111111000001-1-1111-1-1-1-111000000000000000000000000
χ414444444-44-400-1-4-4-1-1-10000-1-1-1-1-1-1-1-100041100-4−5−5551111−5−555−5−55500000-1−551-1-1−55−5511000000000000000000000000
χ424444444-44-400-1-4-4-1-1-10000-1-1-1-1-1-1-1-100041100-455−5−5111155−5−555−5−500000-15−51-1-15−55−511000000000000000000000000
χ434444444-4-4400-1-4-4-1-1-10000-1-1-1-1-1-1-1-1000-411004−5−5551111−5−555−5−5550000015−5-1115−55−5-1-1000000000000000000000000
χ444444444-4-4400-1-4-4-1-1-10000-1-1-1-1-1-1-1-1000-41100455−5−5111155−5−555−5−5000001−55-111−55−55-1-1000000000000000000000000
χ45444-2-2-2-244444-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152004-2-1-1-2-2-2-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200000-1-1-1-11−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i152000000000000000000000000
χ46444-2-2-2-244444-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152004-2-1-1-2-2-2-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i15200000-1-1-1-11+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i152000000000000000000000000
χ47444-2-2-2-2444-4-4-1-2-2-1-1-122221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200-4-2-1-122-211111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i15200000-111-11−i1521+i152−1+i152−1−i152−1−i152−1+i1521−i1521+i152000000000000000000000000
χ48444-2-2-2-2444-4-4-1-2-2-1-1-122221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200-4-2-1-122-211111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i15200000-111-11+i1521−i152−1−i152−1+i152−1+i152−1−i1521+i1521−i152000000000000000000000000
χ49444-2-2-2-24-4-444-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i15200-42-1-1222-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i152000001111−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152000000000000000000000000
χ50444-2-2-2-24-4-444-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i15200-42-1-1222-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i152000001111−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152000000000000000000000000
χ51444-2-2-2-24-4-4-4-4-1-2-2-1-1-122221−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1520042-1-1-2-2211111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152000001-1-11−1+i152−1−i1521−i1521+i1521+i1521−i152−1+i152−1−i152000000000000000000000000
χ52444-2-2-2-24-4-4-4-4-1-2-2-1-1-122221+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1520042-1-1-2-2211111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152000001-1-11−1−i152−1+i1521+i1521−i1521−i1521+i152−1−i152−1+i152000000000000000000000000
χ53444-2-2-2-2-44-400-122-1-1-1−2i3−2i32i32i31−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152000-211−2i32i3255−5−5−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ5800000-15−511−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−1+i152−1−i152000000000000000000000000
χ54444-2-2-2-2-44-400-122-1-1-1−2i3−2i32i32i31+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152000-211−2i32i32−5−555−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ4600000-1−5511+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−1−i152−1+i152000000000000000000000000
χ55444-2-2-2-2-44-400-122-1-1-12i32i3−2i3−2i31−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152000-2112i3−2i32−5−555−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ5800000-1−5511−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−1+i152−1−i152000000000000000000000000
χ56444-2-2-2-2-44-400-122-1-1-12i32i3−2i3−2i31+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152000-2112i3−2i3255−5−5−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ4600000-15−511+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−1−i152−1+i152000000000000000000000000
χ57444-2-2-2-2-4-4400-122-1-1-1−2i3−2i32i32i31−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1520002112i3−2i3-255−5−5−1+i152−1+i152−1−i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58000001−55-1−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ581−i1521+i152000000000000000000000000
χ58444-2-2-2-2-4-4400-122-1-1-1−2i3−2i32i32i31+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1520002112i3−2i3-2−5−555−1−i152−1−i152−1+i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000015−5-1−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ461+i1521−i152000000000000000000000000
χ59444-2-2-2-2-4-4400-122-1-1-12i32i3−2i3−2i31−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152000211−2i32i3-2−5−555−1+i152−1+i152−1−i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000015−5-1−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ581−i1521+i152000000000000000000000000
χ60444-2-2-2-2-4-4400-122-1-1-12i32i3−2i3−2i31+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152000211−2i32i3-255−5−5−1−i152−1−i152−1+i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46000001−55-1−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ461+i1521−i152000000000000000000000000
χ6144-44-4-4400000400-4-44000044-4-4-4-4444400000000000000000000000-444-4-4000000000000000000000000000000000000
χ6244-44-4-4400000400-4-44000044-4-4-4-444-4-4000000000000000000000004-4-444000000000000000000000000000000000000
χ6344-4-222-2000004−2i32i3-4-440000-2-22222-2-24400000000000−2i32i3−2i32i300000000-4-2-222000000000000000000000−2i32i30000000000000
χ6444-4-222-2000004−2i32i3-4-440000-2-22222-2-2-4-400000000000−2i32i3−2i32i300000000422-2-20000000000000000000002i3−2i30000000000000
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χ704-40400-4000−2i2i40000-4−2i2i−2i2i440000-4-4−4i4i0000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0−4i4i000000000000002-20002-22-2000000000000000
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χ724-40-2−2i32i320002i−2i40000-4−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43-2-2−2i32i3−2i32i322−4i4i00000002i−2i2i−2i0000−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ4302i−2i−2323000000000000-220001−i3−1+i31+i3−1−i3000000000000000
χ734-40-2−2i32i32000−2i2i40000-42ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43-2-2−2i32i3−2i32i3224i−4i0000000−2i2i−2i2i00002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ430−2i2i23−23000000000000-220001−i3−1+i31+i3−1−i3000000000000000
χ744-40-2−2i32i32000−2i2i40000-42ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43-2-2−2i32i3−2i32i322−4i4i0000000−2i2i−2i2i00002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ4302i−2i−23230000000000002-2000−1+i31−i3−1−i31+i3000000000000000
χ754-40-22i3−2i320002i−2i40000-4−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59-2-22i3−2i32i3−2i3224i−4i00000002i−2i2i−2i0000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590−2i2i−23230000000000002-2000−1−i31+i3−1+i31−i3000000000000000
χ764-40-22i3−2i320002i−2i40000-4−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59-2-22i3−2i32i3−2i322−4i4i00000002i−2i2i−2i0000−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ5902i−2i23−23000000000000-220001+i3−1−i31−i3−1+i3000000000000000
χ774-40-22i3−2i32000−2i2i40000-42ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59-2-22i3−2i32i3−2i3224i−4i0000000−2i2i−2i2i00002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ590−2i2i−2323000000000000-220001+i3−1−i31−i3−1+i3000000000000000
χ784-40-22i3−2i32000−2i2i40000-42ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59-2-22i3−2i32i3−2i322−4i4i0000000−2i2i−2i2i00002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ5902i−2i23−230000000000002-2000−1−i31+i3−1+i31−i3000000000000000
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χ8088-88-8-8800000-20022-20000-2-22222-2-2000025−25000000025−25−25250000000000000000000000000000000000000000000000000
χ8188-8-444-400000-2−4i34i322-200001−i151+i15−1+i15−1+i15−1−i15−1−i151−i151+i15000025−2500000002ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ460000000000000000000000000000000000000000000000000
χ8288-8-444-400000-2−4i34i322-200001+i151−i15−1−i15−1−i15−1+i15−1+i151+i151−i150000−252500000002ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ580000000000000000000000000000000000000000000000000
χ8388-8-444-400000-24i3−4i322-200001−i151+i15−1+i15−1+i15−1−i15−1−i151−i151+i150000−25250000000−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ460000000000000000000000000000000000000000000000000
χ8488-8-444-400000-24i3−4i322-200001+i151−i15−1−i15−1−i15−1+i15−1+i151+i151−i15000025−250000000−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ580000000000000000000000000000000000000000000000000
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χ898-80-4−4i34i340004i−4i-200−25252−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ59−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ431+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i15000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900002ζ23+2ζ47−2ζ23−2ζ472ζ11+2ζ59−2ζ11−2ζ592ζ7+2ζ43−2ζ7−2ζ432ζ19+2ζ31−2ζ19−2ζ3100000000000000000000000000000000000000000
χ908-80-4−4i34i340004i−4i-20025−252−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ59−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ431−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i15000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700002ζ11+2ζ59−2ζ11−2ζ592ζ23+2ζ47−2ζ23−2ζ472ζ19+2ζ31−2ζ19−2ζ312ζ7+2ζ43−2ζ7−2ζ4300000000000000000000000000000000000000000
χ918-80-4−4i34i34000−4i4i-200−252524ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ594ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ431+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i150000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−2ζ23−2ζ472ζ23+2ζ47−2ζ11−2ζ592ζ11+2ζ59−2ζ7−2ζ432ζ7+2ζ43−2ζ19−2ζ312ζ19+2ζ3100000000000000000000000000000000000000000
χ928-80-4−4i34i34000−4i4i-20025−2524ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ594ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ431−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i150000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−2ζ11−2ζ592ζ11+2ζ59−2ζ23−2ζ472ζ23+2ζ47−2ζ19−2ζ312ζ19+2ζ31−2ζ7−2ζ432ζ7+2ζ4300000000000000000000000000000000000000000
χ938-80-44i3−4i340004i−4i-200−25252−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ43−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ591−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i15000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900002ζ7+2ζ43−2ζ7−2ζ432ζ19+2ζ31−2ζ19−2ζ312ζ23+2ζ47−2ζ23−2ζ472ζ11+2ζ59−2ζ11−2ζ5900000000000000000000000000000000000000000
χ948-80-44i3−4i340004i−4i-20025−252−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ43−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ591+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i15000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700002ζ19+2ζ31−2ζ19−2ζ312ζ7+2ζ43−2ζ7−2ζ432ζ11+2ζ59−2ζ11−2ζ592ζ23+2ζ47−2ζ23−2ζ4700000000000000000000000000000000000000000
χ958-80-44i3−4i34000−4i4i-200−252524ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ434ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ591−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i150000000002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−2ζ7−2ζ432ζ7+2ζ43−2ζ19−2ζ312ζ19+2ζ31−2ζ23−2ζ472ζ23+2ζ47−2ζ11−2ζ592ζ11+2ζ5900000000000000000000000000000000000000000
χ968-80-44i3−4i34000−4i4i-20025−2524ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ434ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ591+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i150000000002ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−2ζ19−2ζ312ζ19+2ζ31−2ζ7−2ζ432ζ7+2ζ43−2ζ11−2ζ592ζ11+2ζ59−2ζ23−2ζ472ζ23+2ζ4700000000000000000000000000000000000000000

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