Finite Group Databasebeta

← Group #72231362

Character table — Group #72231362

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size14455882020252525252531212151524246060757575757541616202032328080100100100100100416162020323280801001001001001001445588202025252525253121215152424606075757575754161620203232808010010010010010041616202032328080100100100100100
order1552255101024444210102210101010244443151566151530306121212123151566151530306121212122101022101010102444421010221010101024444630306630303030612121212630306630303030612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ31111-1111-1-1ii−i−i1111-1111-1-1ii−i−i1111-1111-1-1ii−i−i1111-1111-1-1ii−i−i1111-1111-1-1ii−i−i1111-1111-1-1ii−i−i1111-1111-1-1ii−i−i1111-1111-1-1ii−i−i
χ41111-1111-1-1−i−iii1111-1111-1-1−i−iii1111-1111-1-1−i−iii1111-1111-1-1−i−iii1111-1111-1-1−i−iii1111-1111-1-1−i−iii1111-1111-1-1−i−iii1111-1111-1-1−i−iii
χ5111-1111-11-1i−ii−i111-1111-11-1i−ii−i111-1111-11-1i−ii−i111-1111-11-1i−ii−i111-1111-11-1i−ii−i111-1111-11-1i−ii−i111-1111-11-1i−ii−i111-1111-11-1i−ii−i
χ6111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii
χ7111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11
χ8111-1-111-1-11-111-1111-1-111-1-11-111-1111-1-111-1-11-111-1111-1-111-1-11-111-1111-1-111-1-11-111-1111-1-111-1-11-111-1111-1-111-1-11-111-1111-1-111-1-11-111-1
χ944-104-1-10-10000044-104-1-10-10000044-104-1-10-10000044-104-1-10-10000044-104-1-10-10000044-104-1-10-10000044-104-1-10-10000044-104-1-10-100000
χ1044-10-4-1-1010000044-10-4-1-1010000044-10-4-1-1010000044-10-4-1-1010000044-10-4-1-1010000044-10-4-1-1010000044-10-4-1-1010000044-10-4-1-10100000
χ114-1440-1-1-10000004-1440-1-1-10000004-1440-1-1-10000004-1440-1-1-10000004-1440-1-1-10000004-1440-1-1-10000004-1440-1-1-10000004-1440-1-1-1000000
χ124-14-40-1-110000004-14-40-1-110000004-14-40-1-110000004-14-40-1-110000004-14-40-1-110000004-14-40-1-110000004-14-40-1-110000004-14-40-1-11000000
χ138-2-2003-200000008-2-2003-200000008-2-2003-200000008-2-2003-200000008-2-2003-200000008-2-2003-200000008-2-2003-200000008-2-2003-20000000
χ148-2-200-2300000008-2-200-2300000008-2-200-2300000008-2-200-2300000008-2-200-2300000008-2-200-2300000008-2-200-2300000008-2-200-230000000
χ151111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ161111111111-1-1-1-11111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111111-1-1-1-11111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ171111-1111-1-1ii−i−i1111-1111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ111111-1111-1-1ii−i−i1111-1111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11
χ181111-1111-1-1−i−iii1111-1111-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ111111-1111-1-1−i−iii1111-1111-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11
χ19111-1111-11-1i−ii−i111-1111-11-1i−ii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11111-1111-11-1i−ii−i111-1111-11-1i−ii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ20111-1111-11-1−ii−ii111-1111-11-1−ii−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11111-1111-11-1−ii−ii111-1111-11-1−ii−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ21111-1-111-1-111-1-11111-1-111-1-111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32111-1-111-1-111-1-11111-1-111-1-111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ22111-1-111-1-11-111-1111-1-111-1-11-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32111-1-111-1-11-111-1111-1-111-1-11-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ2344-104-1-10-10000044-104-1-10-100000−2+2i3−2+2i31−i320−2+2i31−i321−i3201−i3200000−2−2i3−2−2i31+i320−2−2i31+i321+i3201+i320000044-104-1-10-10000044-104-1-10-100000−2+2i3−2+2i31−i320−2+2i31−i321−i3201−i3200000−2−2i3−2−2i31+i320−2−2i31+i321+i3201+i3200000
χ2444-10-4-1-1010000044-10-4-1-10100000−2+2i3−2+2i31−i3202−2i31−i321−i320−1+i3200000−2−2i3−2−2i31+i3202+2i31+i321+i320−1−i320000044-10-4-1-1010000044-10-4-1-10100000−2+2i3−2+2i31−i3202−2i31−i321−i320−1+i3200000−2−2i3−2−2i31+i3202+2i31+i321+i320−1−i3200000
χ254-1440-1-1-10000004-1440-1-1-1000000−2+2i31−i32−2+2i3−2+2i301−i321−i321−i32000000−2−2i31+i32−2−2i3−2−2i301+i321+i321+i320000004-1440-1-1-10000004-1440-1-1-1000000−2+2i31−i32−2+2i3−2+2i301−i321−i321−i32000000−2−2i31+i32−2−2i3−2−2i301+i321+i321+i32000000
χ264-14-40-1-110000004-14-40-1-11000000−2+2i31−i32−2+2i32−2i301−i321−i32−1+i32000000−2−2i31+i32−2−2i32+2i301+i321+i32−1−i320000004-14-40-1-110000004-14-40-1-11000000−2+2i31−i32−2+2i32−2i301−i321−i32−1+i32000000−2−2i31+i32−2−2i32+2i301+i321+i32−1−i32000000
χ278-2-2003-200000008-2-2003-20000000−4+4i31−i31−i300−3+3i321−i30000000−4−4i31+i31+i300−3−3i321+i300000008-2-2003-200000008-2-2003-20000000−4+4i31−i31−i300−3+3i321−i30000000−4−4i31+i31+i300−3−3i321+i30000000
χ288-2-200-2300000008-2-200-230000000−4+4i31−i31−i3001−i3−3+3i320000000−4−4i31+i31+i3001+i3−3−3i3200000008-2-200-2300000008-2-200-230000000−4+4i31−i31−i3001−i3−3+3i320000000−4−4i31+i31+i3001+i3−3−3i320000000
χ291111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ301111111111-1-1-1-11111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111111-1-1-1-11111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ311111-1111-1-1ii−i−i1111-1111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ71111-1111-1-1ii−i−i1111-1111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7
χ321111-1111-1-1−i−iii1111-1111-1-1−i−iii−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ71111-1111-1-1−i−iii1111-1111-1-1−i−iii−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7
χ33111-1111-11-1i−ii−i111-1111-11-1i−ii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7111-1111-11-1i−ii−i111-1111-11-1i−ii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ34111-1111-11-1−ii−ii111-1111-11-1−ii−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7111-1111-11-1−ii−ii111-1111-11-1−ii−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ35111-1-111-1-111-1-11111-1-111-1-111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32111-1-111-1-111-1-11111-1-111-1-111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ36111-1-111-1-11-111-1111-1-111-1-11-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32111-1-111-1-11-111-1111-1-111-1-11-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ3744-104-1-10-10000044-104-1-10-100000−2−2i3−2−2i31+i320−2−2i31+i321+i3201+i3200000−2+2i3−2+2i31−i320−2+2i31−i321−i3201−i320000044-104-1-10-10000044-104-1-10-100000−2−2i3−2−2i31+i320−2−2i31+i321+i3201+i3200000−2+2i3−2+2i31−i320−2+2i31−i321−i3201−i3200000
χ3844-10-4-1-1010000044-10-4-1-10100000−2−2i3−2−2i31+i3202+2i31+i321+i320−1−i3200000−2+2i3−2+2i31−i3202−2i31−i321−i320−1+i320000044-10-4-1-1010000044-10-4-1-10100000−2−2i3−2−2i31+i3202+2i31+i321+i320−1−i3200000−2+2i3−2+2i31−i3202−2i31−i321−i320−1+i3200000
χ394-1440-1-1-10000004-1440-1-1-1000000−2−2i31+i32−2−2i3−2−2i301+i321+i321+i32000000−2+2i31−i32−2+2i3−2+2i301−i321−i321−i320000004-1440-1-1-10000004-1440-1-1-1000000−2−2i31+i32−2−2i3−2−2i301+i321+i321+i32000000−2+2i31−i32−2+2i3−2+2i301−i321−i321−i32000000
χ404-14-40-1-110000004-14-40-1-11000000−2−2i31+i32−2−2i32+2i301+i321+i32−1−i32000000−2+2i31−i32−2+2i32−2i301−i321−i32−1+i320000004-14-40-1-110000004-14-40-1-11000000−2−2i31+i32−2−2i32+2i301+i321+i32−1−i32000000−2+2i31−i32−2+2i32−2i301−i321−i32−1+i32000000
χ418-2-2003-200000008-2-2003-20000000−4−4i31+i31+i300−3−3i321+i30000000−4+4i31−i31−i300−3+3i321−i300000008-2-2003-200000008-2-2003-20000000−4−4i31+i31+i300−3−3i321+i30000000−4+4i31−i31−i300−3+3i321−i30000000
χ428-2-200-2300000008-2-200-230000000−4−4i31+i31+i3001+i3−3−3i320000000−4+4i31−i31−i3001−i3−3+3i3200000008-2-200-2300000008-2-200-230000000−4−4i31+i31+i3001+i3−3−3i320000000−4+4i31−i31−i3001−i3−3+3i320000000
χ4333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ443333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000003333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000
χ453333-3333-3-33i3i−3i−3i-1-1-1-11-1-1-111−i−iii00000000000000000000000000003333-3333-3-33i3i−3i−3i-1-1-1-11-1-1-111−i−iii0000000000000000000000000000
χ463333-3333-3-3−3i−3i3i3i-1-1-1-11-1-1-111ii−i−i00000000000000000000000000003333-3333-3-3−3i−3i3i3i-1-1-1-11-1-1-111ii−i−i0000000000000000000000000000
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χ62111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii111-1111-11-1−ii−ii-1-1-11-1-1-11-11i−ii−i-1-1-11-1-1-11-11i−ii−i-1-1-11-1-1-11-11i−ii−i-1-1-11-1-1-11-11i−ii−i
χ63111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1
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χ721111111111-1-1-1-11111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ731111-1111-1-1ii−i−i1111-1111-1-1ii−i−i−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11-1-1-1-11-1-1-111−i−iii-1-1-1-11-1-1-111−i−iii1−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11
χ741111-1111-1-1−i−iii1111-1111-1-1−i−iii−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11-1-1-1-11-1-1-111ii−i−i-1-1-1-11-1-1-111ii−i−i1−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11
χ75111-1111-11-1i−ii−i111-1111-11-1i−ii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11-1-1-11-1-1-11-11−ii−ii-1-1-11-1-1-11-11−ii−ii1−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ76111-1111-11-1−ii−ii111-1111-11-1−ii−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11-1-1-11-1-1-11-11i−ii−i-1-1-11-1-1-11-11i−ii−i1−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ77111-1-111-1-111-1-11111-1-111-1-111-1-11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-11−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ78111-1-111-1-11-111-1111-1-111-1-11-111-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32-1-1-111-1-111-11-1-11-1-1-111-1-111-11-1-111−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
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χ851111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ861111111111-1-1-1-11111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ871111-1111-1-1ii−i−i1111-1111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7-1-1-1-11-1-1-111−i−iii-1-1-1-11-1-1-111−i−iii1+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7
χ881111-1111-1-1−i−iii1111-1111-1-1−i−iii−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7-1-1-1-11-1-1-111ii−i−i-1-1-1-11-1-1-111ii−i−i1+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7
χ89111-1111-11-1i−ii−i111-1111-11-1i−ii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7-1-1-11-1-1-11-11−ii−ii-1-1-11-1-1-11-11−ii−ii1+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ90111-1111-11-1−ii−ii111-1111-11-1−ii−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7-1-1-11-1-1-11-11i−ii−i-1-1-11-1-1-11-11i−ii−i1+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ91111-1-111-1-111-1-11111-1-111-1-111-1-11−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-11+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ92111-1-111-1-11-111-1111-1-111-1-11-111-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32-1-1-111-1-111-11-1-11-1-1-111-1-111-11-1-111+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ9344-104-1-10-10000044-104-1-10-100000−2−2i3−2−2i31+i320−2−2i31+i321+i3201+i3200000−2+2i3−2+2i31−i320−2+2i31−i321−i3201−i3200000-4-410-4110100000-4-410-41101000002+2i32+2i3−1−i3202+2i3−1−i32−1−i320−1−i32000002−2i32−2i3−1+i3202−2i3−1+i32−1+i320−1+i3200000
χ9444-10-4-1-1010000044-10-4-1-10100000−2−2i3−2−2i31+i3202+2i31+i321+i320−1−i3200000−2+2i3−2+2i31−i3202−2i31−i321−i320−1+i3200000-4-4104110-100000-4-4104110-1000002+2i32+2i3−1−i320−2−2i3−1−i32−1−i3201+i32000002−2i32−2i3−1+i320−2+2i3−1+i32−1+i3201−i3200000
χ954-1440-1-1-10000004-1440-1-1-1000000−2−2i31+i32−2−2i3−2−2i301+i321+i321+i32000000−2+2i31−i32−2+2i3−2+2i301−i321−i321−i32000000-41-4-40111000000-41-4-401110000002+2i3−1−i322+2i32+2i30−1−i32−1−i32−1−i320000002−2i3−1+i322−2i32−2i30−1+i32−1+i32−1+i32000000
χ964-14-40-1-110000004-14-40-1-11000000−2−2i31+i32−2−2i32+2i301+i321+i32−1−i32000000−2+2i31−i32−2+2i32−2i301−i321−i32−1+i32000000-41-44011-1000000-41-44011-10000002+2i3−1−i322+2i3−2−2i30−1−i32−1−i321+i320000002−2i3−1+i322−2i3−2+2i30−1+i32−1+i321−i32000000
χ978-2-2003-200000008-2-2003-20000000−4−4i31+i31+i300−3−3i321+i30000000−4+4i31−i31−i300−3+3i321−i30000000-82200-320000000-82200-3200000004+4i3−1−i3−1−i3003+3i32−1−i300000004−4i3−1+i3−1+i3003−3i32−1+i30000000
χ988-2-200-2300000008-2-200-230000000−4−4i31+i31+i3001+i3−3−3i320000000−4+4i31−i31−i3001−i3−3+3i320000000-822002-30000000-822002-300000004+4i3−1−i3−1−i300−1−i33+3i3200000004−4i3−1+i3−1+i300−1+i33−3i320000000
χ9933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-3111111111111110000000000000000000000000000
χ1003333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000-3-3-3-3-3-3-3-3-3-333331111111111-1-1-1-10000000000000000000000000000
χ1013333-3333-3-33i3i−3i−3i-1-1-1-11-1-1-111−i−iii0000000000000000000000000000-3-3-3-33-3-3-333−3i−3i3i3i1111-1111-1-1ii−i−i0000000000000000000000000000
χ1023333-3333-3-3−3i−3i3i3i-1-1-1-11-1-1-111ii−i−i0000000000000000000000000000-3-3-3-33-3-3-3333i3i−3i−3i1111-1111-1-1−i−iii0000000000000000000000000000
χ103333-3333-33-33i−3i3i−3i-1-1-11-1-1-11-11−ii−ii0000000000000000000000000000-3-3-33-3-3-33-33−3i3i−3i3i111-1111-11-1i−ii−i0000000000000000000000000000
χ104333-3333-33-3−3i3i−3i3i-1-1-11-1-1-11-11i−ii−i0000000000000000000000000000-3-3-33-3-3-33-333i−3i3i−3i111-1111-11-1−ii−ii0000000000000000000000000000
χ105333-3-333-3-333-3-33-1-1-111-1-111-1-111-10000000000000000000000000000-3-3-333-3-333-3-333-3111-1-111-1-111-1-110000000000000000000000000000
χ106333-3-333-3-33-333-3-1-1-111-1-111-11-1-110000000000000000000000000000-3-3-333-3-333-33-3-33111-1-111-1-11-111-10000000000000000000000000000
χ1071212-3012-3-30-300000-4-410-41101000000000000000000000000000000000-12-1230-1233030000044-104-1-10-1000000000000000000000000000000000
χ1081212-30-12-3-30300000-4-4104110-1000000000000000000000000000000000-12-123012330-30000044-10-4-1-101000000000000000000000000000000000
χ10912-312120-3-3-3000000-41-4-401110000000000000000000000000000000000-123-12-1203330000004-1440-1-1-10000000000000000000000000000000000
χ11012-312-120-3-33000000-41-44011-10000000000000000000000000000000000-123-1212033-30000004-14-40-1-110000000000000000000000000000000000
χ11124-6-6009-60000000-82200-3200000000000000000000000000000000000-246600-9600000008-2-2003-200000000000000000000000000000000000
χ11224-6-600-690000000-822002-300000000000000000000000000000000000-2466006-900000008-2-200-2300000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.