Finite Group Databasebeta

← Group #72231353

Character table — Group #72231353

Order 3600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size12244444448888888888888888888888881515253030505060606060606075751001501502252251224444444888888888888888888888888151525303050506060606060607575100150150225225
order133355151515155515151515151515151515151515151515151515151515222666610103030303044612124426661010303030301010303030303030303030303030303030303030303030302226666101030303030446121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111111111111111111-1-11-1-1-1-1
χ311111111111111111111111111111111111-1-11-1-1-11-111-1-1i−i-1i−ii−i11111111111111111111111111111111111-1-11-1-1-11-111-1-1i−i-1i−ii−i
χ411111111111111111111111111111111111-1-11-1-1-11-111-1-1−ii-1−ii−ii11111111111111111111111111111111111-1-11-1-1-11-111-1-1−ii-1−ii−ii
χ51111111111111111111111111111111111-11-1-11-1-1-11-1-111i−i-1i−i−ii1111111111111111111111111111111111-11-1-11-1-1-11-1-111i−i-1i−i−ii
χ61111111111111111111111111111111111-11-1-11-1-1-11-1-111−ii-1−iii−i1111111111111111111111111111111111-11-1-11-1-1-11-1-111−ii-1−iii−i
χ71111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-11111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-1
χ81111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11-1-1111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11-1-111
χ922-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-100-1000022-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-100-10000
χ1022-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-111-22-2-1-111001000022-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-111-22-2-1-1110010000
χ1122-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-21-11-2-2211-1-1001000022-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-21-11-2-2211-1-10010000
χ1222-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2211-12-2-2111100-1000022-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2211-12-2-2111100-10000
χ132-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002002-100000022-1-1-1002-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002002-100000022-1-1-100
χ142-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002002-1000000-2-2-111002-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002002-1000000-2-2-11100
χ152-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-200-210000002i−2i1−ii002-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-200-210000002i−2i1−ii00
χ162-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-200-21000000−2i2i1i−i002-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-200-21000000−2i2i1i−i00
χ1744444-144-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-104004000-100-1-1000000044444-144-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-104004000-100-1-10000000
χ1844444-144-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-400010011000000044444-144-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-4000100110000000
χ194444-14-1-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14004000-10-1-10000000004444-14-1-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14004000-10-1-1000000000
χ204444-14-1-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-400-400010110000000004444-14-1-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-400-40001011000000000
χ2144-2-24-1-2-21−i1521+i152-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520400-2000-1001−i1521+i152000000044-2-24-1-2-21−i1521+i152-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520400-2000-1001−i1521+i1520000000
χ2244-2-24-1-2-21−i1521+i152-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520-4002000100−1+i152−1−i152000000044-2-24-1-2-21−i1521+i152-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520-4002000100−1+i152−1−i1520000000
χ2344-2-24-1-2-21+i1521−i152-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520400-2000-1001+i1521−i152000000044-2-24-1-2-21+i1521−i152-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520400-2000-1001+i1521−i1520000000
χ2444-2-24-1-2-21+i1521−i152-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520-4002000100−1−i152−1+i152000000044-2-24-1-2-21+i1521−i152-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520-4002000100−1−i152−1+i1520000000
χ2544-2-2-141−i1521+i152-2-2-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152400-2000-101−i1521+i15200000000044-2-2-141−i1521+i152-2-2-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152400-2000-101−i1521+i152000000000
χ2644-2-2-141−i1521+i152-2-2-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-400200010−1+i152−1−i15200000000044-2-2-141−i1521+i152-2-2-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-400200010−1+i152−1−i152000000000
χ2744-2-2-141+i1521−i152-2-2-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152400-2000-101+i1521−i15200000000044-2-2-141+i1521−i152-2-2-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152400-2000-101+i1521−i152000000000
χ2844-2-2-141+i1521−i152-2-2-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-400200010−1−i152−1+i15200000000044-2-2-141+i1521−i152-2-2-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-400200010−1−i152−1+i152000000000
χ294-2-2144-2-2-2-244-2-21111-2-2-2-2-2-2-2-21111111100400-2-200000000100004-2-2144-2-2-2-244-2-21111-2-2-2-2-2-2-2-21111111100400-2-20000000010000
χ304-2-2144-2-2-2-244-2-21111-2-2-2-2-2-2-2-21111111100-4002200000000-100004-2-2144-2-2-2-244-2-21111-2-2-2-2-2-2-2-21111111100-4002200000000-10000
χ318888-2-2-2-2-2-23-2-2-2-2-2-2-233-2-23-2-2333-2-2-2-233000000000000000000008888-2-2-2-2-2-23-2-2-2-2-2-2-233-2-23-2-2333-2-2-2-23300000000000000000000
χ328888-2-2-2-2-2-2-23-2-2-2-2-2-2-2-233-233-2-2-23333-2-2000000000000000000008888-2-2-2-2-2-2-23-2-2-2-2-2-2-2-233-233-2-2-23333-2-200000000000000000000
χ3388-4-4-2-21−i151+i151−i151+i153-2-2-21−i151+i151−i151+i1533-2-2−3+i15211−3−i152−3+i152−3+i1521111−3−i152−3−i1520000000000000000000088-4-4-2-21−i151+i151−i151+i153-2-2-21−i151+i151−i151+i1533-2-2−3+i15211−3−i152−3+i152−3+i1521111−3−i152−3−i15200000000000000000000
χ3488-4-4-2-21−i151+i151+i151−i15-23-2-21−i151+i151+i151−i15-2-2331−3−i152−3+i152111−3−i152−3−i152−3+i152−3+i152110000000000000000000088-4-4-2-21−i151+i151+i151−i15-23-2-21−i151+i151+i151−i15-2-2331−3−i152−3+i152111−3−i152−3−i152−3+i152−3+i1521100000000000000000000
χ3588-4-4-2-21+i151−i151−i151+i15-23-2-21+i151−i151−i151+i15-2-2331−3+i152−3−i152111−3+i152−3+i152−3−i152−3−i152110000000000000000000088-4-4-2-21+i151−i151−i151+i15-23-2-21+i151−i151−i151+i15-2-2331−3+i152−3−i152111−3+i152−3+i152−3−i152−3−i1521100000000000000000000
χ3688-4-4-2-21+i151−i151+i151−i153-2-2-21+i151−i151+i151−i1533-2-2−3−i15211−3+i152−3−i152−3−i1521111−3+i152−3+i1520000000000000000000088-4-4-2-21+i151−i151+i151−i153-2-2-21+i151−i151+i151−i1533-2-2−3−i15211−3+i152−3−i152−3−i1521111−3+i152−3+i15200000000000000000000
χ378-48-48-288-2-2-2-2-41-4-4111111-2-2-2-211111111000000000000000000008-48-48-288-2-2-2-2-41-4-4111111-2-2-2-21111111100000000000000000000
χ388-48-4-28-2-288-2-21-411-4-41111-2-2-2-211111111000000000000000000008-48-4-28-2-288-2-21-411-4-41111-2-2-2-21111111100000000000000000000
χ398-48-4-2-2-2-2-2-23-2111111−3−5i32−3+5i32113-2-23−3−5i32−3+5i321111−3−5i32−3+5i32000000000000000000008-48-4-2-2-2-2-2-23-2111111−3−5i32−3+5i32113-2-23−3−5i32−3+5i321111−3−5i32−3+5i3200000000000000000000
χ408-48-4-2-2-2-2-2-23-2111111−3+5i32−3−5i32113-2-23−3+5i32−3−5i321111−3+5i32−3−5i32000000000000000000008-48-4-2-2-2-2-2-23-2111111−3+5i32−3−5i32113-2-23−3+5i32−3−5i321111−3+5i32−3−5i3200000000000000000000
χ418-48-4-2-2-2-2-2-2-2311111111−3−5i32−3+5i32-233-211−3−5i32−3+5i32−3−5i32−3+5i3211000000000000000000008-48-4-2-2-2-2-2-2-2311111111−3−5i32−3+5i32-233-211−3−5i32−3+5i32−3−5i32−3+5i321100000000000000000000
χ428-48-4-2-2-2-2-2-2-2311111111−3+5i32−3−5i32-233-211−3+5i32−3−5i32−3+5i32−3−5i3211000000000000000000008-48-4-2-2-2-2-2-2-2311111111−3+5i32−3−5i32-233-211−3+5i32−3−5i32−3+5i32−3−5i321100000000000000000000
χ438-4-428-2-4-41−i151+i15-2-2-4122−1+i152−1−i15211111−i151−i151+i151+i15−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152000000000000000000008-4-428-2-4-41−i151+i15-2-2-4122−1+i152−1−i15211111−i151−i151+i151+i15−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i15200000000000000000000
χ448-4-428-2-4-41+i151−i15-2-2-4122−1−i152−1+i15211111+i151+i151−i151−i15−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152000000000000000000008-4-428-2-4-41+i151−i15-2-2-4122−1−i152−1+i15211111+i151+i151−i151−i15−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i15200000000000000000000
χ458-4-42-281−i151+i15-4-4-2-21-4−1+i152−1−i1522211111−i151+i151−i151+i15−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000000000000000008-4-42-281−i151+i15-4-4-2-21-4−1+i152−1−i1522211111−i151+i151−i151+i15−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15200000000000000000000
χ468-4-42-281+i151−i15-4-4-2-21-4−1−i152−1+i1522211111+i151−i151+i151−i15−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000000000000000008-4-42-281+i151−i15-4-4-2-21-4−1−i152−1+i1522211111+i151−i151+i151−i15−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15200000000000000000000
χ478-4-42-2-21−i151+i151−i151+i153-211−1+i152−1−i152−1+i152−1−i152−3−5i32−3+5i3211−3+i15211−3−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1−352−1+352−1+352−1−352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46000000000000000000008-4-42-2-21−i151+i151−i151+i153-211−1+i152−1−i152−1+i152−1−i152−3−5i32−3+5i3211−3+i15211−3−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1−352−1+352−1+352−1−352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ4600000000000000000000
χ488-4-42-2-21−i151+i151−i151+i153-211−1+i152−1−i152−1+i152−1−i152−3+5i32−3−5i3211−3+i15211−3−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+352−1−352−1−352−1+352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58000000000000000000008-4-42-2-21−i151+i151−i151+i153-211−1+i152−1−i152−1+i152−1−i152−3+5i32−3−5i3211−3+i15211−3−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+352−1−352−1−352−1+352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ5800000000000000000000
χ498-4-42-2-21−i151+i151+i151−i15-2311−1+i152−1−i152−1−i152−1+i15211−3−5i32−3+5i321−3−i152−3+i1521−1−352−1+352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+352−1−352000000000000000000008-4-42-2-21−i151+i151+i151−i15-2311−1+i152−1−i152−1−i152−1+i15211−3−5i32−3+5i321−3−i152−3+i1521−1−352−1+352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+352−1−35200000000000000000000
χ508-4-42-2-21−i151+i151+i151−i15-2311−1+i152−1−i152−1−i152−1+i15211−3+5i32−3−5i321−3−i152−3+i1521−1+352−1−352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1−352−1+352000000000000000000008-4-42-2-21−i151+i151+i151−i15-2311−1+i152−1−i152−1−i152−1+i15211−3+5i32−3−5i321−3−i152−3+i1521−1+352−1−352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1−352−1+35200000000000000000000
χ518-4-42-2-21+i151−i151−i151+i15-2311−1−i152−1+i152−1+i152−1−i15211−3−5i32−3+5i321−3+i152−3−i1521−1+352−1−352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−352−1+352000000000000000000008-4-42-2-21+i151−i151−i151+i15-2311−1−i152−1+i152−1+i152−1−i15211−3−5i32−3+5i321−3+i152−3−i1521−1+352−1−352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−352−1+35200000000000000000000
χ528-4-42-2-21+i151−i151−i151+i15-2311−1−i152−1+i152−1+i152−1−i15211−3+5i32−3−5i321−3+i152−3−i1521−1−352−1+352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1+352−1−352000000000000000000008-4-42-2-21+i151−i151−i151+i15-2311−1−i152−1+i152−1+i152−1−i15211−3+5i32−3−5i321−3+i152−3−i1521−1−352−1+352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1+352−1−35200000000000000000000
χ538-4-42-2-21+i151−i151+i151−i153-211−1−i152−1+i152−1−i152−1+i152−3−5i32−3+5i3211−3−i15211−3+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1+352−1−352−1−352−1+352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58000000000000000000008-4-42-2-21+i151−i151+i151−i153-211−1−i152−1+i152−1−i152−1+i152−3−5i32−3+5i3211−3−i15211−3+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1+352−1−352−1−352−1+352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ5800000000000000000000
χ548-4-42-2-21+i151−i151+i151−i153-211−1−i152−1+i152−1−i152−1+i152−3+5i32−3−5i3211−3−i15211−3+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−352−1+352−1+352−1−352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58000000000000000000008-4-42-2-21+i151−i151+i151−i153-211−1−i152−1+i152−1−i152−1+i152−3+5i32−3−5i3211−3−i15211−3+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−352−1+352−1+352−1−352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ5800000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
χ5711111111111111111111111111111111111-1-11-1-1-11-111-1-1i−i-1i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-111−ii1−ii−ii
χ5811111111111111111111111111111111111-1-11-1-1-11-111-1-1−ii-1−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-11-1-111i−i1i−ii−i
χ591111111111111111111111111111111111-11-1-11-1-1-11-1-111i−i-1i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-111-1-1−ii1−iii−i
χ601111111111111111111111111111111111-11-1-11-1-1-11-1-111−ii-1−iii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-111-1-1i−i1i−i−ii
χ611111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-111
χ621111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111-111-1-1
χ6322-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1-100-10000-2-211-2-21111-2-2-2-21111-2-2-2-2111111111111-2-2-2111-2-2-211110010000
χ6422-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-111-22-2-1-1110010000-2-211-2-21111-2-2-2-21111-2-2-2-2111111111111-2221-1-12-2211-1-100-10000
χ6522-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-21-11-2-2211-1-10010000-2-211-2-21111-2-2-2-21111-2-2-2-21111111111112-22-11-122-2-1-11100-10000
χ6622-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2211-12-2-2111100-10000-2-211-2-21111-2-2-2-21111-2-2-2-211111111111122-2-1-11-222-1-1-1-10010000
χ672-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002002-100000022-1-1-100-21-21-2-2-2-2-2-2-2-21111111111-2-2-2-21111111100-200-21000000-2-211100
χ682-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002002-1000000-2-2-11100-21-21-2-2-2-2-2-2-2-21111111111-2-2-2-21111111100-200-21000000221-1-100
χ692-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-200-210000002i−2i1−ii00-21-21-2-2-2-2-2-2-2-21111111111-2-2-2-211111111002002-1000000−2i2i-1i−i00
χ702-12-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-200-21000000−2i2i1i−i00-21-21-2-2-2-2-2-2-2-21111111111-2-2-2-211111111002002-10000002i−2i-1−ii00
χ7144444-144-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-104004000-100-1-10000000-4-4-4-4-41-4-41111-41-4-41111111111111111110-400-4000100110000000
χ7244444-144-1-1-1-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-4000100110000000-4-4-4-4-41-4-41111-41-4-411111111111111111104004000-100-1-10000000
χ734444-14-1-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14004000-10-1-1000000000-4-4-4-41-411-4-4111-411-4-41111111111111111-400-40001011000000000
χ744444-14-1-144-1-1-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-400-40001011000000000-4-4-4-41-411-4-4111-411-4-411111111111111114004000-10-1-1000000000
χ7544-2-24-1-2-21−i1521+i152-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520400-2000-1001−i1521+i1520000000-4-422-4122−1+i152−1−i15211-4122−1+i152−1−i1521111−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i1520-4002000100−1+i152−1−i1520000000
χ7644-2-24-1-2-21−i1521+i152-1-14-1-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520-4002000100−1+i152−1−i1520000000-4-422-4122−1+i152−1−i15211-4122−1+i152−1−i1521111−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i1520400-2000-1001−i1521+i1520000000
χ7744-2-24-1-2-21+i1521−i152-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520400-2000-1001+i1521−i1520000000-4-422-4122−1−i152−1+i15211-4122−1−i152−1+i1521111−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i1520-4002000100−1−i152−1+i1520000000
χ7844-2-24-1-2-21+i1521−i152-1-14-1-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520-4002000100−1−i152−1+i1520000000-4-422-4122−1−i152−1+i15211-4122−1−i152−1+i1521111−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i1520400-2000-1001+i1521−i1520000000
χ7944-2-2-141−i1521+i152-2-2-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152400-2000-101−i1521+i152000000000-4-4221-4−1+i152−1−i15222111-4−1+i152−1−i152221111−1+i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152-400200010−1+i152−1−i152000000000
χ8044-2-2-141−i1521+i152-2-2-1-1-141−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-400200010−1+i152−1−i152000000000-4-4221-4−1+i152−1−i15222111-4−1+i152−1−i152221111−1+i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152400-2000-101−i1521+i152000000000
χ8144-2-2-141+i1521−i152-2-2-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152400-2000-101+i1521−i152000000000-4-4221-4−1−i152−1+i15222111-4−1−i152−1+i152221111−1−i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152-400200010−1−i152−1+i152000000000
χ8244-2-2-141+i1521−i152-2-2-1-1-141+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-400200010−1−i152−1+i152000000000-4-4221-4−1−i152−1+i15222111-4−1−i152−1+i152221111−1−i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152400-2000-101+i1521−i152000000000
χ834-2-2144-2-2-2-244-2-21111-2-2-2-2-2-2-2-21111111100400-2-20000000010000-422-1-4-42222-4-422-1-1-1-122222222-1-1-1-1-1-1-1-100-4002200000000-10000
χ844-2-2144-2-2-2-244-2-21111-2-2-2-2-2-2-2-21111111100-4002200000000-10000-422-1-4-42222-4-422-1-1-1-122222222-1-1-1-1-1-1-1-100400-2-20000000010000
χ858888-2-2-2-2-2-23-2-2-2-2-2-2-233-2-23-2-2333-2-2-2-23300000000000000000000-8-8-8-8222222-32222222-3-322-322-3-3-32222-3-300000000000000000000
χ868888-2-2-2-2-2-2-23-2-2-2-2-2-2-2-233-233-2-2-23333-2-200000000000000000000-8-8-8-82222222-322222222-3-32-3-3222-3-3-3-32200000000000000000000
χ8788-4-4-2-21−i151+i151−i151+i153-2-2-21−i151+i151−i151+i1533-2-2−3+i15211−3−i152−3+i152−3+i1521111−3−i152−3−i15200000000000000000000-8-84422−1+i15−1−i15−1+i15−1−i15-3222−1+i15−1−i15−1+i15−1−i15-3-3223−i152-1-13+i1523−i1523−i152-1-1-1-13+i1523+i15200000000000000000000
χ8888-4-4-2-21−i151+i151+i151−i15-23-2-21−i151+i151+i151−i15-2-2331−3−i152−3+i152111−3−i152−3−i152−3+i152−3+i1521100000000000000000000-8-84422−1+i15−1−i15−1−i15−1+i152-322−1+i15−1−i15−1−i15−1+i1522-3-3-13+i1523−i152-1-1-13+i1523+i1523−i1523−i152-1-100000000000000000000
χ8988-4-4-2-21+i151−i151−i151+i15-23-2-21+i151−i151−i151+i15-2-2331−3+i152−3−i152111−3+i152−3+i152−3−i152−3−i1521100000000000000000000-8-84422−1−i15−1+i15−1+i15−1−i152-322−1−i15−1+i15−1+i15−1−i1522-3-3-13−i1523+i152-1-1-13−i1523−i1523+i1523+i152-1-100000000000000000000
χ9088-4-4-2-21+i151−i151+i151−i153-2-2-21+i151−i151+i151−i1533-2-2−3−i15211−3+i152−3−i152−3−i1521111−3+i152−3+i15200000000000000000000-8-84422−1−i15−1+i15−1−i15−1+i15-3222−1−i15−1+i15−1−i15−1+i15-3-3223+i152-1-13−i1523+i1523+i152-1-1-1-13−i1523−i15200000000000000000000
χ918-48-48-288-2-2-2-2-41-4-4111111-2-2-2-21111111100000000000000000000-84-84-82-8-822224-144-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000
χ928-48-4-28-2-288-2-21-411-4-41111-2-2-2-21111111100000000000000000000-84-842-822-8-822-14-1-144-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000
χ938-48-4-2-2-2-2-2-23-2111111−3−5i32−3+5i32113-2-23−3−5i32−3+5i321111−3−5i32−3+5i3200000000000000000000-84-84222222-32-1-1-1-1-1-13+5i323−5i32-1-1-322-33+5i323−5i32-1-1-1-13+5i323−5i3200000000000000000000
χ948-48-4-2-2-2-2-2-23-2111111−3+5i32−3−5i32113-2-23−3+5i32−3−5i321111−3+5i32−3−5i3200000000000000000000-84-84222222-32-1-1-1-1-1-13−5i323+5i32-1-1-322-33−5i323+5i32-1-1-1-13−5i323+5i3200000000000000000000
χ958-48-4-2-2-2-2-2-2-2311111111−3−5i32−3+5i32-233-211−3−5i32−3+5i32−3−5i32−3+5i321100000000000000000000-84-842222222-3-1-1-1-1-1-1-1-13+5i323−5i322-3-32-1-13+5i323−5i323+5i323−5i32-1-100000000000000000000
χ968-48-4-2-2-2-2-2-2-2311111111−3+5i32−3−5i32-233-211−3+5i32−3−5i32−3+5i32−3−5i321100000000000000000000-84-842222222-3-1-1-1-1-1-1-1-13−5i323+5i322-3-32-1-13−5i323+5i323−5i323+5i32-1-100000000000000000000
χ978-4-428-2-4-41−i151+i15-2-2-4122−1+i152−1−i15211111−i151−i151+i151+i15−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i15200000000000000000000-844-2-8244−1+i15−1−i15224-1-2-21−i1521+i152-1-1-1-1−1+i15−1+i15−1−i15−1−i151−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15200000000000000000000
χ988-4-428-2-4-41+i151−i15-2-2-4122−1−i152−1+i15211111+i151+i151−i151−i15−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i15200000000000000000000-844-2-8244−1−i15−1+i15224-1-2-21+i1521−i152-1-1-1-1−1−i15−1−i15−1+i15−1+i151+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15200000000000000000000
χ998-4-42-281−i151+i15-4-4-2-21-4−1+i152−1−i1522211111−i151+i151−i151+i15−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15200000000000000000000-844-22-8−1+i15−1−i154422-141−i1521+i152-2-2-1-1-1-1−1+i15−1−i15−1+i15−1−i151−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15200000000000000000000
χ1008-4-42-281+i151−i15-4-4-2-21-4−1−i152−1+i1522211111+i151−i151+i151−i15−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15200000000000000000000-844-22-8−1−i15−1+i154422-141+i1521−i152-2-2-1-1-1-1−1−i15−1+i15−1−i15−1+i151+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15200000000000000000000
χ1018-4-42-2-21−i151+i151−i151+i153-211−1+i152−1−i152−1+i152−1−i152−3−5i32−3+5i3211−3+i15211−3−i152ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1−352−1+352−1+352−1−352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ4600000000000000000000-844-222−1+i15−1−i15−1+i15−1−i15-32-1-11−i1521+i1521−i1521+i1523+5i323−5i32-1-13−i152-1-13+i152−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ581+3521−3521−3521+352−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ4600000000000000000000
χ1028-4-42-2-21−i151+i151−i151+i153-211−1+i152−1−i152−1+i152−1−i152−3+5i32−3−5i3211−3+i15211−3−i152−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1+352−1−352−1−352−1+352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ5800000000000000000000-844-222−1+i15−1−i15−1+i15−1−i15-32-1-11−i1521+i1521−i1521+i1523−5i323+5i32-1-13−i152-1-13+i152ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ581−3521+3521+3521−3523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ5800000000000000000000
χ1038-4-42-2-21−i151+i151+i151−i15-2311−1+i152−1−i152−1−i152−1+i15211−3−5i32−3+5i321−3−i152−3+i1521−1−352−1+352ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58−1+352−1−35200000000000000000000-844-222−1+i15−1−i15−1−i15−1+i152-3-1-11−i1521+i1521+i1521−i152-1-13+5i323−5i32-13+i1523−i152-11+3521−352−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ581−3521+35200000000000000000000
χ1048-4-42-2-21−i151+i151+i151−i15-2311−1+i152−1−i152−1−i152−1+i15211−3+5i32−3−5i321−3−i152−3+i1521−1+352−1−352−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−1−352−1+35200000000000000000000-844-222−1+i15−1−i15−1−i15−1+i152-3-1-11−i1521+i1521+i1521−i152-1-13−5i323+5i32-13+i1523−i152-11−3521+3523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ581+3521−35200000000000000000000
χ1058-4-42-2-21+i151−i151−i151+i15-2311−1−i152−1+i152−1+i152−1−i15211−3−5i32−3+5i321−3+i152−3−i1521−1+352−1−352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1−352−1+35200000000000000000000-844-222−1−i15−1+i15−1+i15−1−i152-3-1-11+i1521−i1521−i1521+i152-1-13+5i323−5i32-13−i1523+i152-11−3521+352−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ461+3521−35200000000000000000000
χ1068-4-42-2-21+i151−i151−i151+i15-2311−1−i152−1+i152−1+i152−1−i15211−3+5i32−3−5i321−3+i152−3−i1521−1−352−1+352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1+352−1−35200000000000000000000-844-222−1−i15−1+i15−1+i15−1−i152-3-1-11+i1521−i1521−i1521+i152-1-13−5i323+5i32-13−i1523+i152-11+3521−352ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ581−3521+35200000000000000000000
χ1078-4-42-2-21+i151−i151+i151−i153-211−1−i152−1+i152−1−i152−1+i152−3−5i32−3+5i3211−3−i15211−3+i152ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46−1+352−1−352−1−352−1+352ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ58−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ5800000000000000000000-844-222−1−i15−1+i15−1−i15−1+i15-32-1-11+i1521−i1521+i1521−i1523+5i323−5i32-1-13+i152-1-13−i152−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ583ζ2+ζ14+ζ26−ζ34+3ζ38−ζ461−3521+3521+3521−352−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ58ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ5800000000000000000000
χ1088-4-42-2-21+i151−i151+i151−i153-211−1−i152−1+i152−1−i152−1+i152−3+5i32−3−5i3211−3−i15211−3+i152−3ζ2−ζ14−ζ26+ζ34−3ζ38+ζ46ζ2−ζ22−3ζ34+ζ38−3ζ46−ζ58−1−352−1+352−1+352−1−352−ζ2−3ζ14+ζ22−3ζ26−ζ38+ζ58ζ14−3ζ22+ζ26−ζ34−ζ46−3ζ5800000000000000000000-844-222−1−i15−1+i15−1−i15−1+i15-32-1-11+i1521−i1521+i1521−i1523−5i323+5i32-1-13+i152-1-13−i1523ζ2+ζ14+ζ26−ζ34+3ζ38−ζ46−ζ2+ζ22+3ζ34−ζ38+3ζ46+ζ581+3521−3521−3521+352ζ2+3ζ14−ζ22+3ζ26+ζ38−ζ58−ζ14+3ζ22−ζ26+ζ34+ζ46+3ζ5800000000000000000000

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